GEOMETRY ANYONE ??? Help

GEOMETRY ANYONE ??? Help

Answers

Answer 1

Answer:

The image of Y is Y’. Have a good day.

Answer 2

Answer: first option.

Step-by-step explanation:

Knowing that the transformation T maps triangle XYZ onto triangle X'Y'Z', you can identify from the figure that the triangle XYZ is the preimage, because it is the original shape and the triangle X'Y'Z' is the image, because is the shape obtained after the transformation.

You can observe in the figure that the image of the vertex X is the vertex X', the image of the vertex Y is the vertex Y' and the image of the vertex Z is the vertex Z'.

Therefore, the conclusion is: The image of Y is Y'.


Related Questions

Is the data represented in the graph quantitative or qualitative? If it is quantitative, is it discrete or continuous?

a.
quantitative, discrete
b.
quantitative, continuous
c.
qualitative
d.
qualitative, continuous

Answers

Answer:

b.  quantitative, continuous

Step-by-step explanation:

Since here Dog = 0.07

Cat = 0.1

Snake = 0.12, and so on.

It is a numeric form So, it is quantitative data. And we can't count them(it include numbers between two natural number) so it is Continuous Variable.

The variable which is in numeric form is called Quantitative Variable. Example: Weight, Marks, etc.

And, the variable which we can't count is known as Qualitative Variable. Example: Smoking, Non- Smoking, etc.

Further Quantitative Variable can be divided into two parts:

Continuous Discrete

The variable which we can count is known as the Discrete variable. It includes the natural numbers only. Example: Number of apples, Number of senior citizens in a particular area, etc.

The variable which we can't count is known as Continuous Variable. Example: Height, Weight, etc.

On the coordinate plane shown below, points H and I have coordinates (-2,-3) and (3,2), respectively. Use the Pythagorean theorem to determine the distance between points H and I on the coordinate plane. A)5 B)5?2 C)10 D)25

Answers

Answer:

Option B [tex]HI=5\sqrt{2}\ units[/tex]

Step-by-step explanation:

Applying the Pythagoras Theorem

[tex]HI^{2}=(y2-y1)^{2}+(x2-x1)^{2}[/tex]

substitute the given values

[tex]HI^{2}=(2+3)^{2}+(3+2)^{2}[/tex]

[tex]HI^{2}=(5)^{2}+(5)^{2}[/tex]

[tex]HI^{2}=50[/tex]

[tex]HI=5\sqrt{2}\ units[/tex]

Answer:

B

Step-by-step explanation:

Plz, help! will give the brain!!!! 20 POINTS!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Simply you change 6 3/4 into decimal form which is 6.75 then you divide it by the amount which is 3/4= .75

divide 6.75 by .75 equals 9

i hope this helps

The parabola x = y² - 9 opens:
a.)up
b.)down
c.) right
d.)left

Answers

Answer:

Right side towards positive x axis

Step-by-step explanation:

Let us see the basic rule to find the orientation of parabolas.

1.  If power if x is 2 and y is 1 , the parabola opens up or down.

2. If the power of y is 2 and that of x is 1 , the parabola opens right or left.

3. If the coefficient of [tex]x^{2}[/tex] in case 1 is negative it opens downward

4. If the coefficient of [tex]y^{2}[/tex]  in case 2 is negative , it opens left towards negative x axis.

Hence our equation is

[tex]x=y^2-9[/tex]

here is satisfies the case 2. hence it opens right or left . Also the coefficient of  

[tex]y^{2}[/tex] is positive so it opens up to the right side , that is towards positive x axis.

the correct answer is c.) right.

The student's question pertains to the orientation of a parabola described by the equation x = y² - 9. In order to determine the direction in which the parabola opens, we observe the equation. The parabola relates y² to x, indicating that for every value of y, we have a corresponding value of x. Since is the variable being squared and x is by itself, the parabola is a sideways parabola. Furthermore, because there is no negative sign in front of the term, the parabola opens to the right of the coordinate system. Therefore, the correct answer is c.) right.

Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. How many liters of the 15% solution is Januet using in the mixture?

a.
25 liters
c.
28 liters
b.
7 liters
d.
10 liters

Answers

Answer:

We'll be making 35 liters of 19% glucose.

How much of a 15% solution and a 35% solution do we mix in order to get 35 liters of a 19% glucose solution?

X = liters of 15% and Y = liters of 35%

(.15 X + .35 Y) / 35 = .19

The number of Y liters will equal (35 -X) so the equation becomes

(.15 X + .35 *(35-X) ) / 35 = .19

(.15X + 12.25 -.35X) / 35 = .19

(-.20 X / 35) + (12.25 / 35) = .19

(-.20 X / 35) + .35 = .19

(-.20 X / 35) = -.16

-.20X = -5.6

X = 28 liters of 15% and

Y = 7 liters of 35% glucose

Answer is "c" 28 liters

Two sides of a triangle have lengths 20 km and 35 km. Describe the possible lengths of the third side.

Answers

Answer:

If there's no limits on the shape of the triangle, the length of the third side shall be between (excluding the endpoints)

15 kilometers, and55 kilometers.

Step-by-step explanation:

Let the length of the third side be [tex]x[/tex] kilometers. The length of each side shall be positive. In other words, [tex]x > 0[/tex].

Consider the triangle inequality theorem. The sum of any two ends shall be greater than the third end. For this triangle, the lengths of the three sides are:

[tex]\rm 20\;km[/tex],[tex]\rm 35\; km[/tex], and[tex]x\;\mathrm{km}[/tex].

By the triangle inequality theorem,

[tex]\left\{\begin{aligned}& 20 + 35 > x\\ & 20 + x > 35\\ & 35 + x > 25\end{aligned}\right.[/tex].

Rewrite and simplify each inequality:

[tex]\left\{\begin{aligned}& x < 55\\ & x > 15\\ & x > -15\end{aligned}\right.[/tex]

[tex]x[/tex] shall satisfy all three inequalities. As a result, the range of [tex]x[/tex] shall be the intersection of the solution sets of all three inequalities.

Refer to the sketch attached. On the sketch, the intersection is the region where the three colored lines are above each other. That's represents the interval

[tex]15 < x < 55[/tex].

In other words, the length of the third side is supposed to be between 15 kilometers and 55 kilometers.

Answer:

the answer is 15<x<55

Step-by-step explanation:

Please help me find the area of this kite

Answers

Answer:

The area of the kite is [tex]56\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the kite is equal to

[tex]A=\frac{1}{2}(D1*D2)[/tex]

where

D1 and D2 are the diagonals of the kite

we have

[tex]D1=4+4=8\ cm[/tex]

[tex]D2=10+4=14\ cm[/tex]

Find the area

[tex]A=\frac{1}{2}(8*14)=56\ cm^{2}[/tex]

65006500 is 666 thousands plus 555 hundreds.


Which is another way to make 650065006500?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
666 thousands plus 111111 hundreds

(Choice B)
B
555 thousands plus 111111 hundreds

(Choice C)
C
555 thousands plus 151515 hundreds

Answers

Answer:

Choice C

Step-by-step explanation:

5 Thousand  + 15 hundred = 6500

Answer:

it c

Step-by-step explanation:

please help asap urgent

Answers

Answer:

24 m

Step-by-step explanation:

The last un-labeled side of the figure is 6 - 4 = 2 m

Simply add all the sides (including the one not labeled) to get the perimeter

4+6+6+2+2+4 = 24 m

Answer:

24m

Step-by-step explanation:

6 + 6 + 2 + 2 + 4 + 4 =24

NEED HELP WITH A MATH QUESTION

Answers

Answer:

Your answer is 17%

Step-by-step explanation:

Divide the total number of seniors by the total number of students and turn it into a percentage.

5/30= 0.16666= 17%

Answer:

14%

Step-by-step explanation:

Resource allocation. A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two​ blends, robust and mild. A pound of the robust blend requires 1212 ounces of Colombian beans and 44 ounces of Brazilian beans. A pound of the mild blend requires 66 ounces of Colombian beans and 1010 ounces of Brazilian beans. Coffee is shipped in 8080​-pound burlap bags. The company has 5151 bags of Colombian beans and 3333 bags of Brazilian beans on hand. How many pounds of each blend should they produce in order to use all the available​ beans?

Answers

The company inventory consists of 51 bags of Colombian and 33 bags of Brazilian beans. Each bag holds 80 pounds of beans, so in total the company has 4080 pounds of Colombian and 2640 pounds of Brazilian beans.

The company wants to use up its entire inventory, a total of 6720 pounds of beans.

Let [tex]r[/tex] and [tex]m[/tex] denote the amount (in pounds) of the robust and mild blends, respectively, that the company should end up producing.

To use the entire inventory, we must have

[tex]r+m=6720[/tex]

Each pound of the robust blend uses 12 ounces (3/4 = 0.75 pound) of Colombian beans, and each pound of the mild blend uses 6 ounces (3/8 = 0.375 pound) of Colombian beans, so that

[tex]0.75r+0.375m=4080[/tex]

while each pound of the robust blend uses 4 ounces (1/4 = 0.25 pound) of Brazilian beans, and each pound of the mild blend uses 10 ounces (5/8 = 0.625 pound) of Brazilian beans, so that

[tex]0.25r+0.625m=2640[/tex]

Multiply both equations by 8 to get rid of the rational coefficients:

[tex]\begin{cases}6r+3m=32640\\2r+5m=21120\end{cases}[/tex]

Subtract 3(second equation) from (first equation) to eliminate [tex]r[/tex]:

[tex](6r+3m)-3(2r+5m)=32640-3\cdot21120[/tex]

[tex]-12m=-30720\implies\boxed{m=2560}[/tex]

Then

[tex]r+2560=6720\implies\boxed{r=4160}[/tex]

So the company needs to produce 4160 pounds of the robust blend and 2560 pounds of the mild blend.

Need help on this math question

Answers

Answer:

[tex]x = 16.6\ cm[/tex]

Step-by-step explanation:

To answer this question use the secant line theorem.

If two secant segments are drawn towards a circle from an outer point, then the product of the length of the secant segment y and the length of its outer secant segment is equal to the product of the length of the other secant segment and its external secant segment.

This is:

[tex](12+6)*6 = (5+x)*5[/tex]

Now we solve the equation for the variable x

[tex]18*6 = 5*5+x*5[/tex]

[tex]108 = 25+5x[/tex]

[tex]5x = 108-25[/tex]

[tex]5x = 83[/tex]

[tex]x = \frac{83}{5}[/tex]

[tex]x = 16.6\ cm[/tex]

Answer:

16.6

Step-by-step explanation:

got it right online

Need help with this maybe question

Answers

Answer:

the vertex is:

(2, -1)

Step-by-step explanation:

First solve the equation for the variable y

[tex]x^2-16y-4x-12=0[/tex]

Add 16y on both sides of the equation

[tex]16y=x^2-16y+16y-4x-12[/tex]

[tex]16y=x^2-4x-12[/tex]

Notice that now the equation has the general form of a parabola

[tex]ax^2 +bx +c[/tex]

In this case

[tex]a=1\\b=-4\\c=-12[/tex]

Add [tex](\frac{b}{2}) ^ 2[/tex] and subtract [tex](\frac{b}{2}) ^ 2[/tex] on the right side of the equation

[tex](\frac{b}{2}) ^ 2=(\frac{-4}{2}) ^ 2[/tex]

[tex](\frac{b}{2}) ^ 2=(-2) ^ 2[/tex]

[tex](\frac{b}{2}) ^ 2=4[/tex]

[tex]16y=(x^2-4x+4)-4-12[/tex]

Factor the expression that is inside the parentheses

[tex]16y=(x-2)^2-16[/tex]

Divide both sides of the equality between 16

[tex]\frac{16}{16}y=\frac{1}{16}(x-2)^2-\frac{16}{16}[/tex]

[tex]y=\frac{1}{16}(x-2)^2-1[/tex]

For an equation of the form

[tex]y=a(x-h)^2 +k[/tex]

the vertex is: (h, k)

In this case

[tex]h=2\\k =-1[/tex]

the vertex is:

(2, -1)

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.

1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4

Answers

Answer:

1.5 < x < 4

Step-by-step explanation:

Let x be the pH of lemon juice

As it is said that the pH is less than it will be denoted by

x<4

Similarly it is also given that lemon juice's pH is greater than 1.5

x>1.5

So,

both inequalities will be combined.

1.5 < x < 4

It is read as x is greater than 1.5 and less than 4 ..

So option 2 is correct ..

Final answer:

The correct compound inequality to represent the normal pH range of lemon juice is 1.5 < x < 4, where x is the pH value. It indicates that the pH of lemon juice is greater than 1.5 but less than 4.

Explanation:

The pH scale measures how acidic or basic a substance is. To model the normal range of pH values for lemon juice, which is said to have a pH of less than 4 and greater than 1.5, we must use a compound inequality. A compound inequality that accurately represents this scenario is 1.5 < x < 4, where x stands for the pH value of lemon juice. It is important to use the less than symbol (<) and not the less than or equal to symbol (≤) because a pH of exactly 1.5 or 4 is not included in the "normal" range as stated.

If Henry goes to the library he reads a book if Henry reads a Book he becomes smarter if any becomes smarter he becomes happier if Henry becomes happy you do you world is a better place

Answers

I can't understand the question

Rewrite/edit the question and I may be able to help you with the answer!

if henry goes to the library the world is a better place

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary.

Answers

Final answer:

To round the sum of a sequence properly, consider the precision of the terms given. For example, an answer of 921.996 from a calculator should be rounded to 922.00, aligning with the hundredth place of the term 13.77 as the most precise figure. Apply appropriate rounding rules such as rounding up if the next digit is greater than 5.

Explanation:

When calculating the sum of a sequence and needing to round the answer to a specific decimal place, we must pay close attention to the significant figures and rounding rules.

For instance, if a calculator gives an answer of 921.996, we should round to the nearest hundredth.

This is because the last significant figure in the given sequence's general term (for example, 13.77) is in the hundredth place.

Following the rule of rounding, if the first digit to be dropped is greater than 5, we round up.

Therefore, the answer would be rounded to 922.00.

Let's consider other examples:

For the calculation resulting in 119.902, since we're limiting it to the tenths place, we round down to 119.9.

For 201.867, rounding to the hundredth place gives us 201.87.

When rounding 2,085.5688 to five significant figures, we get 2,085.6.

For a quick intuitive check, recall that one eighth of 1,000 is 125, a simple multiplication by a reciprocal number without doing long division.

In summary, always align your rounding method to the precision indicated by the sequence terms or the specific requirements of the question.

The annual growth of Kyle's butterfly collection is represented by the table. What does the 5 represent?


x 0 2 4
f(x) 5 20 80

A. The number of new butterflies each year
B. The common ratio of butterfly growth
C. The average rate of change of butterfly growth each year
D. The number of butterflies Kyle started with

Answers

Answer:

Option D. The number of butterflies Kyle started with

Step-by-step explanation:

In this problem we have

x -----> the time in years

f(x) ----> the number of Kyle's butterfly collection

Observing the table

For x=0

f(0)=5 -----> this is the initial value of butterflies Kyle started with

For x=2

f(2)=20 -----> the number of butterflies in two years

For x=4

f(4)=80 -----> the number of butterflies in four years

therefore

5 represent the number of butterflies Kyle started with

Answer:

option D

Step-by-step explanation:

Solve the inequality and express your answer in interval notation. x^2+6x+7<0

Answers

Hello!

The answer is:

The interval notation will be:  (-∞,-1.59) and (-4.41,∞+)

Why?

To solve the expression, we need to perform the following steps:

- Find the roots or zeroes of the expression:

Using the quadratic equation, we have:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

We are given the quadratic expression:

[tex]x^{2} +6x+7[/tex]

Where,

[tex]a=1\\b=6\\c=7[/tex]

Then, substituting and calculating we have:

[tex]\frac{-6+-\sqrt{6^{2}-4*1*7 } }{2*1}=\frac{-6+-\sqrt{36-28 } }{2}\\\\\frac{-6+-\sqrt{36-28}}{2}=\frac{-6+-\sqrt{8}}{2}\\\\x_{1}=\frac{-6+\sqrt{8}}{2}=\frac{-6+2.82}{2}=-1.59\\\\x_{2}=\frac{-6-\sqrt{8}}{2}=\frac{-6-2.82}{2}=-4.41[/tex]

- Inequality interpretation:

Now that we already know the roots of the quadratic expression, and we can see that the parabola open upwards (positive quadratic coefficient), we can conclude that the function is less than 0 between the numbers -4.41. and -1.59

The interval notation will be:and  (-∞,-1.59) and (-4.41,∞+)

Have a nice day!

Note: I have attached a picture for better understanding.

Answer:

The other guy is absolutely right, however

we can change his 4.41 to 3 + or - sqrt2

Step-by-step explanation:

So C

Jillian spent $52 at the mall. She bought 3 shirts and a pair of pants. The shirts were all the same price. The pants cost $22. What was the price of each shirt? Use x to represent the shirt's price.

Answers

Answer:

x=10

Step-by-step explanation:

$52-$22=$30

$30/3=$10=x

The price of each shirt is x=10

What is the cost price?

Cost price is the complete sum of money that a manufacturer must spend to create a specific good or render a specific service.

Given

x to represent the shirt's price

$52-$22=$30

$30/3=$10=x

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If [tex]\frac{AD}{DB}=\frac{AE}{EC}\\[/tex], then line segment (BLANK 1) is parallel to line segment (BLANK 2) (View image below)


answer choices for blank 1 are-

A) AD

B) DE


answer choices for blank 2 are-

A)FG

B)BC

Answers

Answer:

DE and BC

Step-by-step explanation:

Because the pieces of the two sides of the triangle would be proportional the line in the middle that has specified points will be parallel to the bottom line that was specified points. and because neither f or g were specified to be proportional they are irrelevant.

(please mark brainliest)

HAVE A GREAT DAY

Express the polynomial x2 − x4 + 2x2 in standard form and then classify it.

Answers

Answer:

-x⁴ + 3x² is the standard form, and this is a quartic binomial.

Step-by-step explanation:

We look to see if there are any like terms first. x² and 2x² are like terms; they combine to make 3x². So this polynomial really only has two terms when simplified.

The standard form of a polynomial has all of its terms in decreasing order of degree.

  -x⁴ ⇒ degree 4

  3x² ⇒ degree 2

Therefore, standard form is

  -x⁴ + 3x²

The degree of this polynomial is the degree of the highest degree term, which is 4. A degree 4 polynomial is called a quartic polynomial.There are two terms, so we can further classify this as a binomial.

Therefore, the answer is quartic binomial

A rectangular swimming pool is 19 meters long, 13 1 2 meters wide, and 1 1 2 meters deep. What is its volume?

Answers

Answer:

The volume of the rectangular swimming pool is [tex]384.75\ m^{3}[/tex]  or  [tex]384\frac{3}{4}\ m^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular swimming pool is equal to

[tex]V=LWH[/tex]

we have

[tex]L=19\ m[/tex]

[tex]W=13\frac{1}{2}\ m=\frac{13*2+1}{2}=\frac{27}{2}\ m[/tex]

[tex]H=1\frac{1}{2}\ m=\frac{1*2+1}{2}=\frac{3}{2}\ m[/tex]

substitute

[tex]V=(19)(\frac{27}{2})(\frac{3}{2})[/tex]

[tex]V=\frac{1,539}{4}=384.75\ m^{3}[/tex]

Convert to mixed number

[tex]384.75=384\frac{3}{4}\ m^{3}[/tex]

To become a member at a local nature preserve, applicants must pay an initiation fee of $150 plus their yearly membership dues, as shown in the graph. What is the slope of the line joining these points, and what does the slope represent?

Answers

Answer:

slope = $125 per yearit represents the yearly membership dues

Step-by-step explanation:

The values at two points that differ by 1 year differ by $125, so the slope is $125 per year.

The graph shows the total cost of membership, which includes the initiation fee (y-intercept) and yearly membership dues (increase per year). The slope represents the increase per year: the yearly membership dues.

Final answer:

The slope of a line is determined by the change in the y-axis divided by the change in the x-axis. In this case without specific graphical data, it is conjectured that the slope may represent the yearly membership cost increase or decrease over time. A positive slope shows an increase, while a negative slope shows a decrease.

Explanation:

The question seems to be asking about the slope of a line related to the cost of a membership at a nature preserve. However, the provided reference information does not connect directly to this question, but outlines concepts of slope in economics and business scenarios rather than the nature preserve context. In general, the slope of a line is calculated by the change in the y-axis divided by the change in the x-axis. In this context, without a graph, one can conjecture that the slope may represent the yearly membership cost increase or decrease over time. A positive slope indicates an increase, whereas a negative slope indicates a decrease.

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Determine if the sequence is algebraic or geometric, and find the common difference or ratio.


x 1 2 3 4
f(x) 5 −5 −15 −25

A.Algebraic, common difference = −10
B.Algebraic, common difference = −1
C.Geometric, common ratio = −10
D.Geometric, common ration = −1

Answers

Answer:

  A.  Algebraic, common difference = −10

Step-by-step explanation:

The difference between the first two terms is -10, as it is between the next two terms. The ratio of the first two terms is -1; of the next pair: -15/-5 = 3. There is a common difference, but not a common ratio.

The sequence is algebraic with a common difference of -10.

Answer:

Correct answer is A.  Algebraic, common difference = −10

Kate has a coin collection. She keeps 7 of the coins in a box witch is only 5%of her entire collection. What is the total number of coins in Kate's coin collection

Answers

Answer:

140 coins total

Step-by-step explanation:

Straightforward, this reads "7 is 5% of how many?".  Algebraically, the word "is" means an equals sign, and the word "of" means you multiply.  Of course, the 5% needs to be in decimal form.  Taking the sentence above, algebraically it is:  7 = .05x.  Divide by .05 on both sides to get x = 140

Iris is making hats for the members of the school marching band. She can make 3 hats in one and a half hours. She wants to know many hats she makes in 1 hour

Answers

Answer:

Iris can make 2 hats in an hour.

Step-by-step explanation:

3 hats in one and a half hours is 1 hat per half hour. 2 hats would take two half hours, which is one whole hour.

She can make 2 hats.

Since she can make 3 hats in 1.5 hours, divide 1.5 by 3 to find the unit amount of hats she can make.

1.5/3=.5

.5 of an hour is 30 mins.

Now, multiply 30 mins by 2 to find the amount of time it would take to make 2 hats.

30*2=60 or 1 hour.

She can make 2 hats in an hour.

Hope this helps!

What value of z should we use when making a 98% confidence interval for p? 1) 2.33 2)1.75 3)It's impossible to make a 98% CI 4) 2.88

Answers

Answer: Option 1) 2.33

Step-by-step explanation:

For the 98% confidence interval we have that the area between 0 and the z score is equal to:

98% corresponds to 0.98

then the area between 0 and z is half of that:

a = 0.98/2 = 0.490

Now you can search in a table, and you will find that the z-score for this is z = 2.326

So the correct answer is 1) 2.33

where the result is rounded up.

The value of z we should  use when making a 98% confidence interval for p is mathematically given as

x= 2.33

Option A

The value of z we should  use when making a 98% confidence interval

Generally, we solve for

1/2* 0.98 = 0.49

Using the Normal curve table we determine that the nearest value  0.4901 and its z value is 2.33

Option A

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What is the equation of the graphed line written in standard form? 2x + 3y = –6 2x + 3y = 6

Answers

Answer:

y= -2/3x - 2 and y= -2/3x+2

Step-by-step explanation:

There are two standard forms given

1) 2x + 3y= -6

2) 2x + 3y = 6

Equation of a graphed line is written as y=mx+c

Step 1: Make y the subject on the left side. On the right side, make sure that x comes first.

1) 2x + 3y= -6

  3y = -6 - 2x

  y = -6-2x

          3

  y = -2x/3 - 2

2) 2x + 3y = 6

   3y = 6 - 2x

    y = 6-2x

          3

  y = -2x/3 + 2

!!

Answer:

the answer is aaaaaaaaaaaaaaaaa

Chloe dre a quadrilateral with 2 pairs of opposite sides thar are parallel. Name all the shapes that could be chloe's quadrilateral.

Answers

Check the picture below.

A chemical company makes two brands of antifreeze. The first brand is 35% anti freeze, and the second brand is 85% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used.

Answers

Answer: There are 30 gallons of anti freeze of  first brand and 120 gallons of anti freeze of second brand.

Step-by-step explanation:

Since we have given that

Percentage of anti freeze in first brand = 35%

Percentage of anti freeze in second brand = 85%

Percentage of anti freeze in mixture = 75%

Total number of gallons of mixture = 150 gallons

We will use " Mixture and Allegation":

 First brand         Second brand

      35%                      85%

                      75%

------------------------------------------------------------------

85%-75%         :            75%-35%

    10                :               40

     1                 :                 4

So, Number of gallons of anti freeze in first brand is given by

[tex]\dfrac{1}{5}\times 150\\\\=30\ gallons[/tex]

Number of gallons of anti freeze in second brand is given by

[tex]\dfrac{4}{5}\times 150\\\\=40\times 3\\\\=120\ gallons[/tex]

Hence, there are 30 gallons of anti freeze of  first brand and 120 gallons of anti freeze of second brand.

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