Find the value of x in the following parallelogram

To make 5 batches of strawberry shortcake you'll need 7 pounds of cake and 3 3/4 pounds of strawberries for a total sum of 10 3/4 pounds.

1 - Write an equation to represent the problem

For every batch, it takes 1 2/5 pounds of cake and 3/4 pounds of strawberries

therefore

[tex]Let \\\ n_c = pounds~of~cake \\\n_s = pounds~of~strawberries \\\b = number~of~batches[/tex]

[tex]n_c = 1 \frac{2}{5}b \\\n_s = \frac{3}{4}b[/tex]

For ease of math, lets convert these to decimals

[tex]n_c = 1.4b \\\n_s = 0.75b[/tex]

2 - Plug in your variables to solve for cake and strawberries

Cake

[tex]n_c = 1.4b \\\ n_c = 1.4(5)\\n_c = 7[/tex]

To make 5 batches of strawberry shortcake you will need 7 pounds of cake

Strawberry

[tex]n_s = 0.75b \\\n_s = 0.75(5) \\\n_s = 3.75[/tex]

to make 5 batches of strawberry shortcake you will need 3.75 or 3 3/4 pounds of strawberries --- Totalling in at 10.75 pounds or 10 3/4

Hope this helps :)

Answer:

slope should be 3

Step-by-step explanation:

i used my calculator

Answer:

If I know I will defiantly answer .but where is the question

Answer:

112 boxes

Step-by-step explanation:

Answer: 112 boxes

Step-by-step explanation: 112 boxes in 8 minutes. To find how many boxes the machine packs per minute, you divide 70 by 5 and you get 14. You then multiply 14 boxes by 8 minutes giving you the product of 112.

Answer:

?

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

5 x + 3 = 4 x

5x+3-3=4x-3

5x=4x-3

subtract four from both sides=x=-3

x=-3 is your final answer!

Answer:

65 inches

Step-by-step explanation:

Answer:

The answer is $1,875

Step-by-step explanation:

1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750

2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000

3. So then $1,500 + $375 = $1,875

4. $75,000:$1,875

4. Hope this helps :)

Answer:

Step-by-step explanation:

​ [(24÷12)⋅6]+3⋅8÷2 ​

2.Evaluate the expression.

​ (26÷13)⋅(−7)+14−4 ​

3.Simplify this expression.

9 + 3 × 2

15

21

24

48

4.What is the value of this expression?

6⋅[(32−8)÷4+2]

5.Simplify.

6y+5z+8y−3z

11y + 5z

14y +2z

14y + 8z

16yz

does this help

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer:

[tex]\Delta=144[/tex]

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]4x^2-8x-5=0[/tex]

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

[tex]\Delta=(-8)^2-4(4)(-5)[/tex]

Evaluate:

[tex]\Delta=64+80[/tex]

Add:

[tex]\Delta=144[/tex]

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

Answer:

10/15 8/12 14/21

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

Given:

A rocket is 1.5 miles above the earth in 20 seconds.

It is 8 miles above the earth in 2 minutes.

To find:

The rockets rate of change in miles per seconds.

Solution:

Let y be the height above the earth after x seconds.

A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).

It is 8 miles above the earth in 2 minutes.

1 minute = 60 seconds

2 minutes = 120 seconds

So, the point is (120,8).

The rockets rate of change in miles per seconds is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{8-1.5}{120-20}[/tex]

[tex]m=\dfrac{6.5}{100}[/tex]

[tex]m=0.065[/tex]

Therefore, the rockets rate of change is 0.065 miles per seconds .

The statement that the blue radius is perpendicular to the green cord is false

From the complete question,

The blue radius does not bisect the green chord

This means that the blue radius and the green chord do not meet at 90 degrees

Since both lines do not meet at 90 degrees, then they are not perpendicular

Hence, the statement that the blue radius is perpendicular to the green cord is false

Read more about radius and chords at:

https://brainly.com/question/1869643

Answer:

1. [tex]\frac{x}{15}[/tex] = 0.85

2. x = 12.75

Step-by-step explanation:

First, we do 12 divided by 15, which is 0.80 (80%). The question is asking how much consecutive free throws is needed to raise it to 85%.

So, and equation we make is:

[tex]\frac{x}{15}[/tex] = 0.85, where x represents the number of free throws.

Now, we solve.

Multiply each side by 15 to solve for x.

x = 12.75

12.75 consecutive free throws is needed to raise the percent to 85%.

Answer: 177

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

x+x-x=x-x

Answer:

x=0...........................................

Answer:

Step-by-step explanation:

Answer:

what is the question?...

Answer:

1. x = -6

2. x = -10

3. x = 12

4. x = 13/2 (can be rewritten as 6 1/2 or 6.5)

5. x = 8

6. x = -3

7. x = -5

8. x = 12

9. x = -13

Answer:

m perpendicular= [tex]-\frac{1}{notlinear}[/tex]

Step-by-step explanation:

Answer:

-14/15

Step-by-step explanation:

Answer:

??????????????

Step-by-step explanation:

I am not getting the question