PLEASE HELP!


Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.

Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24

Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

Answer:

m = 2, b = 4.6

Step-by-step explanation:

The slope intercept formula is y = mx + b, So you can substitute for the values given.

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

Answer:

Workers in San Diego = 260 workers

Step-by-step explanation:

Total workers = 480

Number of offices = 3

In each office in different cities

New york = 90 workers

Denver = 130 workers

San Diego = x workers

Find x

Total number of workers = workers in New York + workers in Denver + workers in San Diego

480 = 90 + 130 + x

480 = 220 + x

480 - 220 = x

260 = x

x = 260 workers

Workers in San Diego = 260 workers

Answer:

Step-by-step explanation:

250

Answer:

a) c=33.5

I'll try my best to explain and help you out here! online school sucks, I hope you get the hang of it soon!

Step-by-step explanation:

Simplify both sides of the equation.

c(5)=(35.5)(5)−10

5c=177.5+−10

5c=(177.5 + −10) (Combine Like Terms)

5c=167.5

Divide both sides by 5.

5c/5 = 167.5/5

c=33.5

I'm not entirely sure about the second question but I'll try to figure it out and let you know!

For this problem, we're finding the percent of 300. To do that we:

1. Multiply 300 by 15.

300 x 15 = 4500

2. Divide 4500 by 100. (% = 100)

4500 / 100 = 45

Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.

300 - 45 = 255

Now, our answer is 255 and the unit price is 45.

Let me know of any questions!

Answer:

Step-by-step explanation:

F(x) is simply another way of saying y. We are given the x value of -10. We can substitute this in for x and find y.

f(-10) = 7(-10) - 5

f(-10) = -70 - 5

f(-10) = -75

Answer:

Rewrite the equation in term of  

x

and  

y

.

f

(

x

)

=

2

x

2

−

7

x

+

5

Rewrite the equation in vertex form.

Tap for fewer steps...

Complete the square for  

2

x

2

−

7

x

+

5

.

Tap for more steps...

2

(

x

−

7

4

)

2

−

9

8

Set  

y

equal to the new right side.

y

=

2

(

x

−

7

4

)

2

−

9

8

Use the vertex form,  

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of  

a

,  

h

, and  

k

.

a

=

2

h

=

7

4

k

=

−

9

8

Find the vertex  

(

h

,

k

)

.

(

7

4

,

−

9

8

)

Step-by-step explanation:

Answer:

The answer is 68 and 52

Step-by-step explanation:

x + y = 120

3(x - y ) = 48

We have 3x + 3y = 360

and 3x - 3y = 48

Adding we have the following:

6x = 408

x = 68

y = 120-48 = 52

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

Answer:

3*6+5= 23

Step-by-step explanation:

Answer:

12 1314

Step-by-step explanation:

i guess this should be the abswer

Answer: e = -2

Step-by-step explanation:

first, i removed the parentheses.

6 + 0.75e = 2 - 1.25e

then, i moved the terms.

0.75 e + 1.25e = 2 - 6

next, i collected the like terms and calculated them.

2e = -4

finally, i divided both sides.

e = -2

Answer:

The value of n is 2.

Step-by-step explanation:

The total number of people in the choir = 60

Number of  women in the choir = 30

Let the number of men in the choir be represented by x, so that;

Number of women = 3x

So that;

3x = 30

x = [tex]\frac{30}{3}[/tex]

 = 10

The number of men in the choir is 10.

the number of children in the choir: the number of men in the choir = n:1

number of children in the choir = 60 - (number of women + number of men)

                                                    = 60 - 40

                                                    = 20

number of children in the choir = 20

Thus,

the number of children in the choir: the number of men in the choir = 20:10

                                                            = 2:1

The value of n is 2.

Answer:

20 men in the choir and 40 children

Step-by-step explanation:

Answer:

There is not a proportional relationship

Step-by-step explanation:

The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.

Answer:

Yes, the proportional relationship is 9.50

Step-by-step explanation:

In the graph that you have attached this picture with, hours x 9.50 = pay.

Hope this helps :D

Answer:y =  y = -7x

Step-by-step explanation: y - 14 = -7(x - (-2))

y - 14 = -7x - 14

Answer:

slope of AB = 4

slope of CD = 4

Step-by-step explanation:

We simply use the slope formula for this;

The slope formula is;

m = (y2-y1)/(x2-x1)

for AB, we have;

m = (3+1)/(6-5) = 4

For CD, we have

m = (-1-3)/(1-2) = -4/-1 = 4

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

Answer:

2.5 ounces drip from the faucet per hour.

Step-by-step explanation:

You can figure this out by dividing the amount of water (7.5) by the hours (3).

7.5/3 = 2.5

To check your work you can do the same for the other combinations.

10/4=2.5, 12.5/5=2.5....

I hope this helped :)

Answer:

Alex is reading faster by 5 more pages per hour.

Step-by-step explanation:

Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.

Hope you have a good day!〜

Also please tell me if I'm wrong or not...

Also also if I'm right can I please have Brainliest?

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