In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x – 2y = 7
3x – 3y=15
A. Multiply the top equation by 1/3

B. Multiply the top equation by 3 and the bottom equation by 4.

C. Multiply the top equation by-3 and the bottom equation by 2.

D. Multiply the top equation by 15 and the bottom equation by 7.

Answer:

number = 1/3

Step-by-step explanation:

let the required number = x

according to the given conditions

2 * x * 9 = 6

18x = 6

x = 6/18 = 1/3

Answer: 264 cm^2

Step-by-step explanation:

22*6.5+22*5.5=22*12=264

The area of the given figure  156.75 sq cm.

Step-by-step explanation:

Here,

The figure is a trapezium.

In this trapezium

a = 22 cm

b = 6.5 cm

A and b are the length of two parallel sides.

Height (h) = 5.5 cm

To find the area of the figure which is consists of two trapezium

Formula

Area of the trapezium = [tex]\frac{1}{2} (a+b)h[/tex]

Now,

The area of one trapezium = [tex]\frac{1}{2} (22+6.5)X5.5[/tex] sq cm

= 78.375 sq cm

So,

The area of the figure = 78.375×2 sq cm = 156.75 sq cm

Answer:

A, C, D, F

Step-by-step explanation:

Just did it on Ed

Would you mind giving me the brainliest?

Answer: X= 0.5

Step-by-step explanation:

(-5.6x+1.3)=-1-x

+5.6x             +5,6x

1.3=-1+4.6x

+1   +1

2.3=4.6x

divide by 4.6 to get x by itself

2.3/4.6 = x

x=0.5

please mark brainliest!

Answer

x=1/2

Step-by-step explanation:

open the parenthesis to get -5.6x+1.3=-1-x

move the variable to the left and numbers to the right

-4.6x=-2.3

now solve by dividing 2.3 by -4.6

you get x=1/2

Answer: option 2

Step-by-step explanation:

From the pie chart, Christiana spends over 60% of her time on working and sleeping

Also, Christiana spends half of her time on sleep, chores and other activities .

Answer: 2 is false.

Step-by-step explanation:

Christina spends exactly a quarter of her time on chores and hobbies.

Answer:

A) The sentence introduces readers to the paragraphs main idea.

Step-by-step explanation:

It does not talk about technology, it is not a new idea, and it is not saying anything negative.

Answer:

B

Step-by-step explanation:

I just got it right :)

Answer:

-a^2 + -a + 12

Step-by-step explanation:

Expand the following:

(3 - a) (a + 4)

(3 - a) (a + 4) = (3) (a) + (3) (4) + (-a) (a) + (-a) (4):

-a a + 3 a - 4 a + 3 4

3×4 = 12:

-a a + 3 a - 4 a + 12

-a a = -a^2:

-a^2 + 3 a - 4 a + 12

Grouping like terms, -a^2 + 3 a + 4 (-1) a + 12 = -a^2 + (3 a - 4 a) + 12:

-a^2 + (3 a - 4 a) + 12

3 a - 4 a = -a:

Answer: -a^2 + -a + 12

Answer:

[tex] - a {}^{ 2} - a + 12[/tex]

The graph of the line y=4x-3 is attached below.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The function is given as y=4x-3

Here the point (0,-3) lies on the line because -3 is the y-intercept(b) in the equation y=mx+b.

Next, we would plot the next point 4 units up and to the right once because 4/1 is rise/run and equal to m in the equation.

Therefore, the graph of the line is attached below.

Learn more about finding the graphed function here:

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Answer:

[6, 18]

Step-by-step explanation:

the first matrix has the dimensions 1 x 2 (1 row, 2 columns).  The send has the dimensions 2 x 2.  Because of this it is possible to do matrix multiplication and the result will be a 1 x 2 matrix.

Multiply the column -2,  7 by the row 4, 2:

We get (-2)(4) + (7)(2), which simplfies to 6.  This is the first element of the 1 x 2 product.

Multiply the column 5, -1 by the row 4, 2:  We get (5)(4) + (-1)(2), or 18.

The fourth answer choice is the correct one:  [6, 18]

Answer: 189

Step-by-step explanation:

Substitute the value of x, y and z into the equation to give: 2 (12) (8) -3

Then apply BODMAS

2 (96) - 3

192-3= 189

Answer:

See attachment (red rectangle)

Step-by-step explanation:

Since the upper left is at (-4,4) and upper-right is at (4,4)

The length of the rectangle is

[tex]l = |4 - - 4| = 8[/tex]

Since the perimeter is 20, we have:

[tex]20 = 2(8 + w)[/tex]

[tex]10 = 8 + w[/tex]

[tex]w = 2[/tex]

Therefore we need to draw a rectangle with dimension 8 by 2

The scale factor of the dilation is 2/3. This means that the image point is two-thirds the distance from the original point to the center of dilation.

To find the scale factor of the dilation, we can use the formula:

[tex]\[ \text{scale factor} = \frac{\text{image point}}{\text{original point}} \][/tex]

Given that the image of (6, 9) under the dilation is (4, 6), we can substitute these values into the formula:

[tex]\[ \text{scale factor} = \frac{(4, 6)}{(6, 9)} \]\[ \text{scale factor} = \left( \frac{4}{6}, \frac{6}{9} \right) \][/tex]

Simplifying the fractions:

[tex]\[ \text{scale factor} = \left( \frac{2}{3}, \frac{2}{3} \right) \][/tex]

B. The scale factor is 2/3

To determine the scale factor of the dilation, we need to compare the coordinates of the original point 6, 9 and its image 4 , 6

The formula for dilation of a point x, y by a scale factor k is:

[tex]\[(x', y') = (kx, ky)\][/tex]

Given:

- Original point 6 , 9

- Image point 4 , 6

We need to find the scale factor k such that:

[tex]\[4 = k * 6 \quad \text{and} \quad 6 = k * 9\][/tex]

Let's solve these equations.

1. 4 = 6k

[tex]\[k = \frac{4}{6} = \frac{2}{3}\][/tex]

2. 6 = 9k

[tex]\[k = \frac{6}{9} = \frac{2}{3}\][/tex]

Both equations give the same scale factor of 2/3.

Question

The image of (6, 9) under a dilation is (4, 6).

The scale factor is

A. -2

B 2/3

C -2/3

Answer:

It will be 1 0/4

Step-by-step explanation:

The 4 stays the same because its the denominater.

After using some of her ribbon for a project and a bow, Jenna has 1 meter of ribbon left on the spool.

Jenna has a spool that contains 5 and 3/4 meters of ribbon. She uses 3 and 2/4 meters for a school project and 1 and 1/4 meters for a bow. To find out how much ribbon remains on the spool, we need to subtract the total amount of ribbon used from the initial amount.

First, let's simplify the fractions. 3 and 2/4 meters can be simplified to 3 and 1/2 meters because 2/4 is equivalent to 1/2.

Next, we add the lengths of ribbon used for the project and the bow together: 3 and 1/2 meters + 1 and 1/4 meters = 4 and 3/4 meters.

Finally, we subtract this amount from the total amount of ribbon Jenna had: 5 and 3/4 meters - 4 and 3/4 meters = 1 meter.

Therefore, after using ribbon for a school project and a bow, Jenna has 1 meter of ribbon left on the spool.

Final answer:

Every natural number is a rational number and a real number, but not every rational or real number is a natural number. Also, all irrational numbers are indeed real numbers.

Explanation:

Let's address the statements about numbers and their classifications to determine if they are true or false:

Every natural number is a rational number. - True

Every rational number is a natural number. - False, rational numbers include fractions and negative numbers which are not natural numbers.

The corrected statements are:

Answer:

Step-by-step explanation:

What the heck is that more info please

Answer:

5 pizzas

Step-by-step explanation:

He will have $2.50 left over after he buys the 5 pizzas. Hope this helps! Brainliest is appriciated.

Answer: 2.50

Step-by-step explanation:

Answer:65:195

Step-by-step explanation:

50:150

According to what I know you must turn this into a fraction.

150/50

Now that you have a fraction you must divide because the fraction bar means division.

150÷50=3

Each family got 3 plants

65×3=195

195 plants for 65 families

65:195

Answer: 65:195

Step-by-step explanation:

a) 6x - 5y = 10x + 7 SOLVING FOR X:

6x-5y=10x+7

−5y=10x+7−6x

−5y=4x+7

−5y−7=4x next divide both sides by four and switch sides

[tex]\frac{-5y-7}{4} =x[/tex]

[tex]x=\frac{-5y-7}{4}[/tex]

a) 6x - 5y = 10x + 7 SOLVING FOR Y:

6x-5y=10x+7

−5y=10x+7−6x then simplify

−5y=4x+7, now divide both sides by negative five

[tex]y=\frac{4x+7}{5}[/tex]

b) -4 +(-3) -(-9)

-4+(-3)-(-9) Remove parentheses and simplify.

−4−3+9=−7+9=2

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤

The ratio of the volume of the pyramid to the volume of the prism is 1:1

The formula for calculating the volume of a pyramid is expressed as;

V = 1/3 BH

The formula for calculating the volume of prism is expressed as:

V = Bh

where

B is the base area

H is the height

If the height of pyramid is three times the height of the prism, the volume of pyramis will be:

V = 1/3B * 3h

Take the ratio of their volumes

Vp/Vr  = 3Bh/3Bh
Vp/Vr = 1 : 1

Hence the ratio of the volume of the pyramid to the volume of the prism is 1:1

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Answer:

10.

Step-by-step explanation:

10 because 10 * 10 = 100.

There us also a negative square root -10.

Answer:

10

Step-by-step explanation:

Answer:

complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i2 = −1.

Step-by-step explanation:

Answer:

The amount of sugar actually used by Ashley to bake 6 cookies is 0.15 oz

Step-by-step explanation:

The amount of sugar needed to make 6 cookies = (9/20)  oz

So, the total amount of sugar to be used = (9/20) oz

Let us assume the sugar actually used by Ashley = M oz

Also, given:

Sugar Used  = One third of SUGAR NEEDED

[tex]\implies M = (\frac{1}{3}) \times (\frac{9}{20})[/tex]

            = [tex](\frac{3}{20} )[/tex] = 0.15 oz

or M = 0.15 oz

Hence, the amount of sugar actually used by Ashley to bake 6 cookies is 0.15 oz.

Answer:

a)For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:

Big Al's Steak house wait times: 5 13 22 7 20 21 20 12

Trail's End wait times: 11 19 14 14 15 20 10 17

b) [tex] \bar X_{BigAl. Hou}= 15[/tex]

[tex] \bar X_{Trial End Wait}= 15[/tex]

Step-by-step explanation:

Part a

For this case we are interested on two populations, one is the Big Al's Steak house wait times and the other represent the Trail's End wait times. And we don't know the information about the population but we have two samples of size n =8 described by:

Big Al's Steak house wait times: 5 13 22 7 20 21 20 12

Trail's End wait times: 11 19 14 14 15 20 10 17

Part b

For this case we can calculate the mean with the following formula:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

[tex] \bar X_{BigAl. Hou}= 15[/tex]

[tex] \bar X_{Trial End Wait}= 15[/tex]

cost of each jersey is $19.99 .

Step-by-step explanation:

Here we have , a player purchased 4 jerseys for a total of $79.96. We need to write an equation that can be used to find the cost of each jersey,n,in dollars​ .Let's write it :

Assume that price of one jersey is $x , so price of 4 jersey's is 4($x) = $4x . But , according to question value of 4 jersey's is $79.96 i.e.

⇒ [tex]4x = 79.96[/tex]

⇒ [tex]\frac{4}{4}x = \frac{79.96}{4}[/tex]

⇒ [tex]x = 19.99[/tex]

Therefore , cost of each jersey is $19.99 .

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base [tex]= 9[/tex] inches,

The width of the base [tex]=6[/tex] inches, and

The height of the exhibit [tex]= 3(17) = 51[/tex] inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

[tex]A=2(w l+h l+h w)[/tex]

By substituting the values, we get

[tex]A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.[/tex]

The surface area of the exhibit is 1,638 cubic inches.

The red dot on the number line represents the value [tex]\(\frac{4}{5}\)[/tex], corresponding to option C.

In a fraction, the numerator (4) denotes the number of parts considered, while the denominator (5) indicates the total number of equal parts in one whole.

Thus, [tex]\(\frac{4}{5}\)[/tex] signifies four parts out of five, placing the red dot closer to the whole number 1 but not reaching it.

This representation aligns with the fraction's numerical value, emphasizing the position of the red dot on the number line and its fractional significance in relation to the unit interval.

Hence, the correct answer is Option C. 4/5

Determining the value of the red dot requires analyzing its position on the number line relative to specific landmarks and measurements provided; however, without the visual of the number line, a precise answer cannot be given.

The value of the red dot on the number line can be determined based on its position relative to the given reference points. The various descriptions of dots' positions involve a comparison to Car X and Car Y figures, as well as precise measurements in terms of perpendicular hash marks on a graph. To ascertain the value that the red dot represents, we must closely examine its placement on the number line in comparison to these references. However, it's crucial to have a visual representation of the number line to provide an accurate value. The mentioned descriptions such as 'the third dot is about one and two-thirds perpendicular hash marks to the right of the center top perpendicular hash mark' indicate the need to understand measuring units and relative positioning on the number line.

Answer:

9 sides

Step-by-step explanation:

Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.