A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party.
The table below shows the cost of hosting a private party for a certain number of
guests.

Answer:

2q+11

Step-by-step explanation:

Variables are the same. Only the constants add.

Answer:

1.5 grams per tablespoon

Answer:

hiii

your answer is option d

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Answer:

y = 7x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 7 and (0, 1 ) ← crosses y- axis ⇒ c = 1

y = 7x + 1 ← equation of line

Answer:

It would be C

Step-by-step explanation:

So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100

And the run is 1, because to go from 0 to 1, you add 1

Meaning the slope is 100/1

Hope this helped!

Answer: 35 seventh graders

Step-by-step explanation:

The simplified ratio is 4:7 sixth graders to seventh graders

The number of sixth-graders is 5 times the number shown in the ratio of attendees (20/4 = 5). Thus, the number of 7th graders must also be 5 times greater than the simplified ratio.

7*5 = 35, thus there are 35 seventh graders in the club

Answer:

35

Step-by-step explanation:

4 (sixth grader) : 7(seventh grader)

what do we multiply by 4 to get 20? 5

so we have to do the same to the other part of the ratio

soooo

7 x 5 is 35

finally ur answer is 35

or 20:35

Answer:2 < x < 5

Step-by-step explanation:

I should look like this but with lines under the less than symbol

The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.

If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.

The domain of a function represents the set of all possible input values (x-values) for which the function is defined.

Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.

Thus, the domain of the graphed function is x ∈ (2,5).

Learn more about the domain and the range here:

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Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

Answer: Area is 2250 and the peremiter is 210

Step-by-step explanation:

Answer:

Area :2250

Perimeter: 210

Step-by-step explanation:

For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.

Answer:

The Answer is 28y

Step-by-step explanation:

Answer:14x+4y

Step-by-step explanation:

Answer:

rainy

Step-by-step explanation:

because of the rain cloud is problye going to rain.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

there are 4 vertices in a square

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Answer:

It's the first one. -x+2

Step-by-step explanation:

The slope is negative and the line intersects the y-intercept at positive 2.

Answer:

i think its 1.6-

Step-by-step explanation: science

Answer:

60%

Step-by-step explanation:

Percentage of money saved by Ovide = [tex]\frac{9}{15} * 100 = \frac{3}{5}*100[/tex]

                                                                = 3 * 20

                                                                = 60%

Answer:

x= 120 degrees

Step-by-step explanation:

A straight line is 180 degrees.

meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.

80+40= 120 and since x is equal to the inner corner, x is 120.

Answer: Adding 15 each time

Answer:

0.15866 ; 0.0071627

Step-by-step explanation:

Given that:

Mean (m) = 298

Standard deviation (s) = 3

A.) P(x < 295)

Using the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (295 - 298) / 3 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

B.)

Z = (x - m) / s /sqrt(n)

Z = (295 - 298) / 3/sqrt(6) = −2.449489

p(Z < - 2.449) = 0.0071627 ( Z probability calculator)

Given values are:

Mean,

Standard deviation,

(a)

P(x < 295)

The standardized score will be:

→ [tex]Z = \frac{(x-m)}{s}[/tex]

By substituting the values, we get

      [tex]= \frac{(295-298)}{3}[/tex]

      [tex]= \frac{-3}{3}[/tex]

      [tex]= -1[/tex]

Now,

By using the Z probability calculator, we get

→ [tex]p(Z< -1) = 0.15866[/tex]

(b)

The standardized score will be:

→ [tex]Z = \frac{x-m}{\frac{s}{\sqrt{n} } }[/tex]

By putting the values,

      [tex]= \frac{295-298}{\frac{3}{\sqrt{6} } }[/tex]

      [tex]= -2.449489[/tex]

Now,

→ [tex]p(Z < -2.449)= 0.007163[/tex]

Thus the responses above are correct.

Learn more about probability here:

https://brainly.com/question/20369155

Answer:

4

Step-by-step explanation:

4 is the greatest number that goes into 36 and 4.

Answer:

4

Step-by-step explanation:

Calculate the prime factors of 4 and 36, then find the greatest common factor.

Answer is 4.

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

Answer:

A unit rate is a rate with 1 in the denominator

Step-by-step explanation:

Answer:

need more info

Step-by-step explanation:

plz comment so i know

Answer:

y = 6/11x + 5

Step-by-step explanation:

y + 1 = 6/11 (x + 11)

distribute 6/11

y + 1 = 6/11x + 6

  - 1              - 1

y      = 6/11x + 5

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Answer:

B

Step-by-step explanation: