combine like terms to create an equivalent expression 6(1/2w-3/4)

Answer:

Option A is incorrect.

Step-by-step explanation:

Length of the given parts is l and width is w meters.

It is given in the question that Sanjay needs 90 meters of fence to go around the rectangular park.

It means perimeter of the park is 90 meters.

Since perimeter of a rectangle = 2(length + width)

                                                  =  2(L + w)

It is given that length of garden is three times of width so l = 300

therefore, equation will be

Perimeter = 2[3w + w]

           90 =  2[3w + w]

Option A ⇒ w + 3w = 90   ⇒ incorrect

Option B ⇒ w + 3w + w + 3w = 90

                   2(w + 3w) = 90  ⇒ Correct option

Option C ⇒ 2w + 2 (3w) = 90

                  2 [w + 3w] = 90   ⇒ Correct option

Option D ⇒ 2(3w + w) = 90  ⇒ Correct option

therefore Option A is incorrect option.

Answer:

w+3w+w+3w=90

Step-by-step explanation:

correct

Answer:

B.) 27ft

Step-by-step explanation:

The labeled points given: (5,18) and (1.5, 7.5)

Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3

A linear model:

y - 18 = 3(x - 5)

y - 18 = 3x - 15

y = 3x + 3

If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)

y = 3(8) + 3

y = 24 + 3

y = 27 ft

Answer:

B.) 27ft

A person would be at a distance of 27 feet, 8 seconds after the experiment begins.

A scatter plot diagram is a graph in which the coordinates of a point are marked and the regression or correlation between these points is observed.

The labeled points that are given are (5,18) and (1.5, 7.5)

m = Slope of the given scatter plot = (18 - 7.5)/(5 - 1.5)

= 10.5 / 3.5

= 3

The linear model of the scatter plot can be found by substituting the values of x and y using the labelled coordinates.

y - y_1 = m( x - x_1 )

y - 7.5 = 3(x - 1.5)

y - 7.5 = 3x - 4.5

y = 3x - 4.5 + 7.5

y = 3x - 3

The value of x is given as 8. Substitute x in the equation above:

y = 3(8) + 3

y = 24 + 3

y = 27 feet

Therefore, a person would be at a distance of 27 feet, 8 seconds after the experiment begins. The correct answer is option B.

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Answer:

x=7

Step-by-step explanation:

✯Hii✯

↪  expand the brackets

↪  then solve normally

↪  x will be 7

❤Kathy❤

For this case we have the following equation:

[tex]\frac {2} {5} * (3r + 4) = 10[/tex]

We must clear the variable "r":

We multiply by[tex]\frac {2} {5} * (3r + 4) = 10[/tex] \ frac {5} {2} on both sides of the equation:

[tex]\frac {2} {5} * \frac {5} {2} (3r + 4) = 10 * \frac {5} {2}\\3r + 4 = \frac {50} {2}\\3r + 4 = 25[/tex]

We subtract 4 on both sides of the equation:

[tex]3r + 4-4 = 25-4\\3r = 21[/tex]

We divide between 3 on both sides of the equation:

[tex]\frac {3r} {3} = \frac {21} {3}\\r = 7[/tex]

Answer:

[tex]r = 7[/tex]

Answer:

It is 68.2, thats the answer

Step-by-step explanation:

If you want no rounded just the main number it is 68

Answer: The answer is 68.2 but without decimals, rounding, mixed fractions, it would be 68 as the final answer :)

* Hopefully this helps:) Mark me the brainliest:)

Step-by-step explanation:

Should be the third choice

Final answer:

The equation in standard form is -9x + 2y = -9.

Explanation:

To show the equation in standard form, we want to rearrange it so that the variables appear on one side and the constants on the other side. Let's start by distributing the 2 to both terms inside the parentheses:

10 - 2x + 2y = 3x + 1

Next, let's combine like terms by adding 2x and subtracting 10 from both sides:

-2x + 2y - 2x + 10 = 3x + 2x + 1 - 10

-4x + 2y + 10 = 5x + 1

Now, let's move the terms involving x to the left side and the constants to the right side:

-4x - 5x + 2y = 1 - 10

-9x + 2y = -9

Therefore, the equation in standard form is -9x + 2y = -9.

Answer:

Step-by-step explanation:

Answer:

The cost of the bracelet was [tex]\$6[/tex]

Step-by-step explanation:

Let

x------> amount of Carla's savings

y-----> the cost of bracelet

we know that

[tex]y=\frac{2}{5}x[/tex] -----> equation A

[tex]1-\frac{2}{5}=\frac{3}{5}[/tex]

so

[tex]9=\frac{3}{5}x[/tex] ----> solve for x

[tex]x=9*5/3=\$15[/tex]

substitute the value of x in the equation A and solve for y

[tex]y=\frac{2}{5}(15)=\$6[/tex]

Answer:   $6

Step-by-step explanation:

To find out how much Carla's bracelet cost, we can start by calculating how much of her savings she spent on the bracelet.

We know that Carla spent two-fifths of her savings on the bracelet, and she had $9 left over. This means that the amount she spent on the bracelet is equal to three-fifths of her savings, since she had $9 left over.

To find the value of three-fifths of Carla's savings, we can set up an equation:

$\frac{3}{5} \times \text{savings} = 9$

To solve this equation, we can multiply both sides by $\frac{5}{3}$ to isolate the variable:

$\text{savings} = \frac{9 \times 5}{3} = 15$

So Carla's total savings is $15.

Now we can find the cost of the bracelet by multiplying Carla's savings by the fraction she spent:

$\frac{2}{5} \times 15 = 6$

Therefore, Carla's bracelet cost $6.

An outside angle is equal to the sum of the two opposite inside angles.

This means 150 = x + (x+20)

Now solve for X:

150 = x + x+20

simplify:

150 = 2x+20

Subtract 20 from each side:

130 = 2x

Divide both sides by 2:

x = 130/2

x = 65

Now we have X = 65

Solve for the other angle with x in it, by replacing x with 65:

x = 20 = 65 +20 = 85

The three inside angles of a triangle need to equal 180 so now we can solve for Z:

z = 180 - 65 - 85 =  30 degrees.

X = 65, Z = 30

Answer:

150 because 50 times 3 equals 150

Answer: the probability of green would be 4/13 the probability of red would be 6/12

Step-by-step explanation:

The probability of green would be 4/13 the probability of red would be 6/12.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given that a bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first one back in the bag.

Total outcomes for green ball = 6 + 4 + 3 = 13

The probability of choosing a green ball is,

Probability = 4 / 13

The probability of choosing the red ball is,

Probability = 6 / 12

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Answer:

A. 1 inch

Step-by-step explanation:

10 feet = 120 inches.

Now figure out how many times 7 goes into 120, which is 17.

17x7in=119 inches. Therefore you have 1 inch left.

Let me know if you need me to explain in more detail, I kinda skimmed through it :)

Answer:

30 m

Step-by-step explanation:

Answer:

2 m per second or it could also be 120 m per minute or you could also say 7200 m per hour all of the above are correct but it just depends on whether your teacher wants it to be converted into minutes seconds hours or days.

Step-by-step explanation:

Answer: OPTION B

Step-by-step explanation:

The red graph shows the parent function of a quadratic function (which is the simplest form of a quadratic function), whose vertex is at the origin.

The function g(x) is the result of shift the parent function 2 units to the right and shift it 1 unit up.

Therefore, keeping the above on mind you have that the transformation has the following form:

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

Where the horizontal shift depends on the value of h and the vertical shift depends on the value of k.

Therefore, you obtain the function:

[tex]g(x)=(x-2)^2+1[/tex]

Answer:

B. [tex]g(x)=(x-2)^2+1[/tex]

Step-by-step explanation:

The equation of the red graph is [tex]f(x)=x^2[/tex].

The blue graph has its vertex at (2,1)

Hence its equation is of the form;

[tex]g(x)=a(x-2)^2+1[/tex]

This graph has y-intercept (0,5).

[tex]5=a(0-2)^2+1[/tex]

[tex]5-1=a(-2)^2[/tex]

[tex]4=4a[/tex]

[tex]1=a[/tex]

The blue graph therefore has equation;

[tex]g(x)=(x-2)^2+1[/tex]

Answer:

x³ - 7x² + 4x + 30

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 2x - 6) - 5(x² - 2x - 6) ← distribute both parenthesis

= x³ - 2x² - 6x - 5x² + 10x + 30 ← collect like terms

= x³ - 7x² + 4x + 30

Answer:

C

Step-by-step explanation:

You can reason your way through this without a calculator:

A: the absolute function turns everything positive, then you can see that 5/6 cannot be larger than 1 5/6

B: Realizing that √25=5, √18 cannot be larger than 5

C: 5.6x10³ means shifting to the left 3 positions: 5600 > 1000 so this one is true.

D: A negative number is always smaller than a positive number.

Answer:

Your answer would be C because simplified:

5,600 is greater than 1,00

Step-by-step explanation:

Your answer wouldn't be A because simplified:

0.833 > 1.833 is an incorrect statement.

Your answer wouldn't be B because simplified:

4.243 > 5.875 is an incorrect statement.

Your answer WOULD be C because simplified:

5,600 > 1,000 is a true statement

Your answer wouldn't be D because simplified:

-2.45 > 4.4 is an incorrect statement

Answer:

Step-by-step explanation:

xy = 42

x+y = - 2                   Substitute into the top equation

y = -2 - x                   Put in for y

x(-2 - x) = 42             Remove the brackets

-2x - x^2 = 42           Subtract 42 from both sides.

-2x - x^2 - 42 = 0      Put in the more normal order.

-x^2 - 2x - 42 = 0      Multiply by -1

x^2 + 2x + 42 = 0

This cannot be factored. It gives complex roots as it is written. I will give you the answer but I kind of doubt the question is correct.

x1 = - 1 + 6.40i

x2 = -1 - 6.40i

Leave a comment if you have a correction.

Answer:

6 miles

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

12+18+13+16+6=65

Then divide by how many of them there are (5).

65/5=13

The average age will be 13 years

In order to find the average of quantities we use the following formula

So putting the value

Average age = (12+18+13+16+6) / 5

Average age is 13

Answer: E

I'm not completely sure, but I tried.

Answer:

[tex]\large\boxed{C.\ \left(\dfrac{14}{3},\ 0\right)}[/tex]

Step-by-step explanation:

[tex]\text{The x-intercept is for y = 0.}\\\\\text{Put y= 0 to the equation}\ 3x + 3y = 14:\\\\3x + 3(0) = 14\\\\3x + 0 = 14\\\\3x = 14\qquad\text{divide both sides by 3}\\\\x =\dfrac{14}{3}[/tex]

Answer:

4/3 or 1.33333333333333333333.....

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]d(z_1,\ z_2)=|z_1-z_2|\\\\z=a+bi\to|z|=\sqrt{a^2+b^2}\\------------------\\\\\text{We have:}\\\\z_1=2-3i,\ z_2=9+21i\\\\\text{substitute:}\\\\|(2-3i)-(9+21i)|=|2-3i-9-21i|\\\\=|(2-9)+(-3i-21i)|=|-7-24i|\\\\=\sqrt{(-7)^2+(-24)^2}=\sqrt{49+576}=\sqrt{625}=25[/tex]

Answer:

25.

Step-by-step explanation:

For two complex numbers z=([tex]x_{1},y_{1}[/tex]) and w=([tex]x_{2},y_{2}[/tex]) we have that the distance between z and w is equal to

|z-w| =  [tex]\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

So, in this case we have that [tex](x_{1},y_{1})=(2,-3)[/tex] and  [tex](x_{2},y_{2})=(9,21)[/tex], then the distance

|z-w| =  [tex]\sqrt{(2-9)^{2}+(-3-21)^{2}}[/tex]

= [tex]\sqrt{(-7)^{2}+(-24)^{2}}[/tex]

=  [tex]\sqrt{49+576}[/tex]

=  [tex]\sqrt{625}[/tex]

= 25.

Answer:

3/5 of a bag

Step-by-step explanation:

We have 3 bags of trail mix.  We are sharing between 5 friends

Take the amount of trail mix and divide by the number of people sharing

3bags/5 friends

3/5 of a bag

I’m not 100% sure but I think it’s 14/49

Answer:

[tex]\sqrt[3]{8*320}  = \sqrt[3]{2,560}  = 13.67[/tex]

Step-by-step explanation:

To find an equal or equivalent expression, simplify the expression by applying order of operations.

8*320 = 2,560

Now apply the exponent of 1/3. A fraction exponent is a radical where the denominator is the index.

[tex]\sqrt[3]{2,560}  = 13.67[/tex]

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Answer:

180 degrees and interior

Step-by-step explanation:

X and y equal 180 and make the shape C therefor are interior angles

Without specific details like an equation or diagram, we can't find the actual values of x and y. But we can talk about how angles can relate to each other generally - they can be complementary (add up to 90 degrees), supplementary (add up to 180 degrees), or vertical (equal when two lines intersect).

The question is missing specific details like an equation or a diagram that we can use to find the actual values of x and y. Without these, it's not possible to provide a direct answer. However, we can discuss how angles relate to each other in a general sense.

These are just a few examples of the relationship between angles that could help guide your understanding. If you have a specific problem involving angles and variables, please provide it so we can assist you more accurately.

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Answer:

3,500 no votes

Step-by-step explanation:

There were 7 yes votes to every 4 no votes.  There were a total of 6,125 yes votes, so set up a proportion to find the number of no votes

Let x represent the number of no votes

7 is to 4 as 6,125 is to x

We get

7/4 = 6,125/x

Now solve for x

First cross multiply

7x = 24,500

Divide both sides by 7 to isolate x..

x = 3,500 no votes

Answer:

The inequality is [tex]c+2< 1[/tex]

Step-by-step explanation:

we know that

In the figure, the value of c is less than -1

so

[tex]c< -1[/tex]

Adds both side +2

[tex]c+2< -1+2[/tex]

[tex]c+2< 1[/tex]

Answer:

The inequality is c+2< 1

Step-by-step explanation:

Answer:

First Equation: [tex]\frac{3}{4} \div \frac{1}{8} =6[/tex]

Step-by-step explanation:

From the given number line we can see that there are 6 arrows/jumps of equal sizes to reach from 0 to [tex]\frac{3}{4}[/tex]

Each small jump is equivalent to [tex]\frac{1}{8}[/tex]. This is because from 0 to [tex]\frac{1}{4}[/tex] there are 2 jumps, so 1 jump will be equal to [tex]\frac{1}{4}[/tex] divided by 2 which is equal to [tex]\frac{1}{8}[/tex]

From 0 to [tex]\frac{3}{4}[/tex], 6 jumps of [tex]\frac{1}{8}[/tex] are made. In other words we can say [tex]\frac{1}{8}[/tex] is added to itself 6 times to reach to [tex]\frac{3}{4}[/tex].

Adding [tex]\frac{1}{8}[/tex] 6 times to itself also means multiplying [tex]\frac{1}{8}[/tex] by 6. So we can set up the equation as:

[tex]\frac{1}{8} \times 6 = \frac{3}{4}[/tex]

Dividing both sides by [tex]\frac{1}{8}[/tex]  we get:

[tex]6=\frac{3}{4} \div \frac{1}{8} \\\\ or\\\\ \frac{3}{4} \div \frac{1}{8} =6[/tex]

Hence, the first equation represents the given number line.

Answer:

A

Step-by-step explanation:

Answer:

x = - 7, x = - 4

Step-by-step explanation:

To factor the quadratic

Consider the factors of the constant term ( + 28) which sum to give the coefficient of the x- term ( + 11)

The factors are + 7 and + 4, since

7 × 4 = 28 and 7 + 4 = 11, hence

(x + 7)(x + 4) = 0

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 4 = 0 ⇒ x = - 4