What is the sum of (5x - 10) and (-X + 8) ?

Answer:

5 cups

Step-by-step explanation:

To do this simply, we can just count up how many cups we can buy.

starting balance=

$12.50

after cup 1=

12.5−2.5=$10.00

after cup 2=

10−2.5=$7.50

after cup 3=

7.5−2.5=$5.00

after cup 4=

5−2.5=$2.50

after cup 5=

2.5−2.5=$0.00

From this, we can see that after buying the 5th

cup, the buyer is out of money, so that means that you can buy

5 cups of food to feed the animals before running out of money.

The number of cups is 2 cups

The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of cups be = x

The total amount y = $ 14

The cost of entering the zoo = $ 10

The cost of of feeding the animals per cup = $ 2

So , the equation will be

Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )

Substituting the values in the equation , we get

y = 2x + 10   be equation (1)

On simplifying the equation , we get

14 = 2x + 10

Subtracting 10 on both sides of the equation , we get

2x = 4

Divide by 2 on both sides of the equation , we get

x = 2 cups

Therefore , the value of x is 2 cups

Hence , the number of cups is 2 cups

To learn more about equations click ;

https://brainly.com/question/14200719

#SPJ2

Step-by-step explanation:

Here is your answer in the attachment.

Hope it helps :)

Answer:

30 pieces.

Step-by-step explanation:

According to the word problem, Alex wants to cut all six of his candy bars into fifths.

5/5 = one whole candy bar.

If there will 5 pieces for every candy bar, we can multiply 5 by 6.

5 x 6 = 30.

There will be 30 of the 1/5 size pieces.

Answer:

photography

Step-by-step explanation:

Answer:

D) (-2, -9)

Step-by-step explanation:

X( -11, 8)

M(-6.5, -0.5)

-11 - (-6.5) = -11 + 6.5 = -4.5

8 - (-0.5) = 8 + 0.5 = 8.5

To get from Midpoint to endpoint:

(x , y) → (x - 4.5, y + 8.5)

Y endpoint:

M(-6.5, -0.5) → (-6.5 + 4.5, -0.5 - 8.5)

Y( -2, -9)

Step-by-step explanation:

.............. just for filling 20 characters

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

Answer:

The answer is "Hot dog buns".

Step-by-step explanation:

In the given scenario, it increased the hot dog prices result in a reduction in hot dog bun production. Complementary products are hot dogs including hot dog buns. Therefore the curve of demand is moving to the left. Please find the image file in attached.

Answer:

y=9

Step-by-step explanation:

4-2y+8=-6

-2y=-4-8-6

-2y=-18 divide by -2 both side

y=-18/-2

y=9

Answer:

r = 7.3 m

Step-by-step explanation:

A = (pi)(radius)^2, so, if A = 167 m^2, r^2 is found as follows:

         167 m^2

r^2 = -------------- = 53.158 m^2

              3.14

Taking the square root of both sides, we get

r = 7.3 m

This is correct, because A = (pi)(radius)^2 becomes (3.14)(7.3 m)^2 = 167.4 m^2

Even numbers are 2,4,6,8,10 :) ✨

Answer:

Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.

Answer:

d

Step-by-step explanation:

Answer:

[tex]12+3\sqrt{5}[/tex]

Step-by-step explanation:

[tex](\frac{33}{4-\sqrt{5}})(\frac{4+\sqrt{5}}{4+\sqrt{5}})=\frac{132+33\sqrt{5}}{16-5}=\frac{11(12+3\sqrt{5})}{11}=12+3\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

Answer:

Possible answer: 5a/ -6

Step-by-step explanation:

Not 100% sure to be honest.

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

Answer:

A= (-1.5, 1)

B= (0.5, -2)

C= (-1, -1.5)

D= (1, 1.5)

Answer:

8 - (2/x

hope it is helpful

Answer:

Y= X - 31.5

Step-by-step explanation:

find the gradient then the equation

Answer:

y-3 = -2/15 (x-9)

Step-by-step explanation:

First, we should find the gradient, m, which is [tex]\frac{rise (change.in.the.y.value)}{run (change.in.the.x.value)}[/tex]

This is [tex]\frac{3-5}{9-(-6)} =-\frac{2}{15}[/tex]

A linear (straight) line has a general equation y=mx+c

y = [tex]-\frac{2}{15\\}[/tex]x+c

We can rewrite the equation into the general form:

y-y1 = m(x-x1)

where y1 is the value of a y coordinate and x1 is the x value of the coordinate that the y1 value was taken from.

This stems from the idea that 0 = 0.

To make that equation true, we can make both sides equal to 0.

To do that, y - y1 has to be - and x-x1 has to be zero. m can be ignored as anything multiplied by 0 is 0.

Up until here, y1 and x1 are arbitrary constants. They are values that we have to find. However, we don't actually. We have coordinates that the x and y will equal to. (9,3)

Because 9 - 9 = 0 and 3 - 3 = 0, we can state that the value of y1 is 3 and x1 is 9.

Hence, the equation is y-3 = -2/15 (x-9)

You can rearrange the equation to make it into the form y = mx + c, but this is usually not necessary.

I hope this helped.  

Answer:

exterior angle: 22.5°, interior angle: 157.5°

Step-by-step explanation:

the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides

=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°

the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]

=> [tex]\frac{360}{16}[/tex] = 22.5°

Answer:

J = 1

Step-by-step explanation:

-7 + 5(1) = 8(1) - 10

-7 + 5 = 8 - 10

-2 = -2

j=1

Answer:

17.4cm

Step-by-step explanation

17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120

To get the length of AB, we will use the cosine rule

AB² = BC² + AC² - 2(BC)(AC) cos <ABC

AB² = 8² + 12² - 2(8)(12) cos 120

AB² = 64 + 144 - 192cos12

AB² = 208 - (-96)

AB² = 208 +96

AB² = 208 - (-96)

AB² = 304

AB² = 17.4cm

Hence the length of AB is 17.4cm

Answer:

B part

Step-by-step explanation:

Answer attached .....

Hope it helps ^_^

Answer:

A) They will pay more with the new price plan than the current one.

B) The new price plan is cheaper for 7 games.

Step-by-step explanation:

Current price charges;

$3 to rent shoes

$4 per game

New price plan;

$11 to rent shoes

$2 per game

A) If a customer rents shoes and plays 2 games;

At current price;

Cost = 3 + 4(2) = $11

At new price plan;

Cost = 11 + 2(2) = $15

Thus, they will pay more with the new price plan than the current one.

B) Customer bowls 7 games;

At current price;

Cost = 3 + 4(7) = $31

At new price plan;

Cost = 11 + 2(7) = $25

Thus, the new price plan is cheaper for 7 games.

Answer:

I think too that many different will be there in case such things ..

Answer:

42

Step-by-step explanation:

as there two equal numbers of both 21 and 2 then the outcome will be just 21×2=42

Answer:

Hey!

Hope this helps you!

:)

Answer:

Step-by-step explanation:

6g - 8 - 8g - 3

-2g - 11

Answer:

-2g - 11

Step-by-step explanation:

2(3g - 4) - (8g + 3)

Use the distributive property to multiply 2 by 3g - 4.

6g + 2(-4) - (8g + 3)

6g - 8 - (8g + 3)

Find the opposite of 8g + 3.

6g - 8 - 8g - 3

Combine like terms.

-2g - 8 - 3

Subtract 3 from -8 to get -11.

-2g + 11

The expression equivalent to 2(3g - 4) - (8g + 3) is -2g - 11.