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3 years ago

9

A store manager orders T-shirts that 15 out of every 35 or medium. How many medium T-shirts would you expect to find when there

are 140 T-shirts?

1 answer:

sladkih [1.3K]3 years ago

3 0

There would be 60 medium shirts

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A cube has a surface area of 294sq. In. What is the length of the sides<br> 49<br> 7<br> 6.6

arlik [135]

Answer:

The length of the sides is <u>7 In</u>.

Step-by-step explanation:

Given:

A cube has a surface area of 294 sq. In.

Now, to find the sides.

Let the side be $a$

Putting the formula of area to get the length of side:

$Area = 6(side)^2$

$294=6a^2$

<em>Dividing both sides by 6 we get:</em>

$49=a^2$

<em>Using square root on both sides we get:</em>

$7=a$

Side = 7 In.

Therefore, the length of the sides is <u>7 In</u>.

5 0

3 years ago

Rhombus WXYZ with vertices W(1,5), X(6, 3),<br> Y(1, 1), and Z(-4, 3) in the x-axis.

vlada-n [284]

9514 1404 393

Answer:

W'(1,-5), X'(6,-3), Y'(1,-1), Z'(-4,-3)

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate. The x-coordinate remains unchanged.

The reflected points are ...

W'(1,-5), X'(6,-3), Y'(1,-1), Z'(-4,-3)

4 0

3 years ago

Instead of having 1.5 times as many pink flowers as white

elena55 [62]

Answer:

The first row has 4 pink flowers and 2 white flowers

The second row has 6 pink flowers and 3 white flowers

The third row has 8 pink flowers and 4 white flowers.

Step-by-step explanation:

Based on the above question,

Molly has decided to plant a garden with twice as

many pink flowers as white flowers per row.

We can find the number of white flowers in each row by using the principle of ratio to solve this question.

Mathematically, what Molly planted is expressed as:

2 pink flowers : 1 white flower

Therefore for the three rows:

a. The first row is 4 pink flowers

Since, 2 pink flowers : 1 white flower

2 pink flowers = 1 white flower

4 pink flowers = designated as y

We cross multiply

2× y = 4 × 1

Divide both sides by 2

y = 4 ÷ 2

y = 2 white flowers.

Therefore, the first row that Molly planted 4 pink flowers has 2 white flowers.

b. The second row, Molly planted 6 pink flowers

Since, 2 pink flowers : 1 white flower

2 pink flowers = 1 white flower

6 pink flowers = designated as z

We cross multiply

2× z = 6 × 1

Divide both sides by 2

z = 6 ÷ 2

z = 3 white flowers.

Therefore, the second row that Molly planted 6 pink flowers has 3 white flowers.

c. The third row , Molly planted 8 pink flowers

Since, 2 pink flowers : 1 white flower

2 pink flowers = 1 white flower

8 pink flowers = designated as p

We cross multiply

2× p = 4 × 1

Divide both sides by 2

P = 8 ÷ 2

y = 4 white flowers.

Therefore, the third row that Molly planted 8 pink flowers has 4 white flowers.

Therefore, since Molly has decided to plant a garden with twice as

many pink flowers as white flowers per row,

The first row has 4 pink flowers and 2 white flowers

The second row has 6 pink flowers and 3 white flowers

The third row has 8 pink flowers and 4 white flowers.

6 0

3 years ago

Read 2 more answers

Emily's piggy bank contains twice as many dimes as nickels. It contains two more quarters than nickels. Emily calculates that if

ANTONII [103]

Answer:

Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank

Step-by-step explanation:

The number of dimes in Emily's piggy bank = 2 × The number of nickels

The number of quarters in it = 2 + The number of nickels

Whereby;

The number of quarters = The number nickels

The number of dimes = The number of quarters

The number of nickels = The number of dimes

The total amount = Current amount - $150

Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;

x = 2 × y

z = 2 + y

The total amount in the piggy bank is therefore;

Total = C = x×0.1 + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5

C = 0.5·y + 0.5

With the second condition, we have;

z = y

x = z

y = x

We get

x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5

∴ C = 0.4·y + 1.5

Which gives;

0.5·y + 0.5 = 0.4·y + 1.5

0.1·y = 1.5 - 0.5 = 1

y = 1/0.1 = 10

y = 10

Therefore;

x = 2×y = 2 × 10 = 20

z = 2 + y = 2 + 10 = 12

Therefore;

The number number of nickels in her piggy bank, y = 10

The number of dimes in her piggy bank, x = 20

The number of quarters in her piggy bank, z = 12

3 0

3 years ago

Read 2 more answers

The function A(b) relates the area of a trapezoid with a given height of 10 and

Natali [406]

Answer:

$B(a)=\frac{a}{5} -7$

Step-by-step explanation:

The input it taken as the unknown base value, while the output here is the area of the trapezoid. b is therefore the base value, and A( b ) is the area of the trapezoid. Let's formulate the equation for the area of the trapezoid, and isolate the area of the trapezoid. To find the inverse of this function, switch y ( this is A( b ) ) and b, solving for y once more, y ➡ y ⁻ ¹.

y = height $*$ ( ( unknown base value ( b ) + 7 ) / 2 ),

y = 10 $*$ ( ( b + 7 ) / 2 )

Now switch the positions of y and b -

b = 10 $*$ ( ( y + 7 ) / 2 ) or $b=\frac{\left(y+7\right)\cdot \:10}{2}$ - now that we are going to take the inverse ( y ⁻ ¹ ) or B( a ), b will now be changed to a,

$y+7=\frac{a}{5}$ ,

$y^{-1}=\frac{a}{5}-7 = B(a)$

Therefore the equation that represents the inverse function will be the following : B(a) = a / 5 - 7

8 0

3 years ago