You are running the concession stand at a volleyball game, selling hot dogs and cans of pop. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you have made exactly $78.50. You know that you have sold exactly 87 items, but cannot remember how many of each. That mean PTA lady will never let you work the concession stand again if you don’t report the correct number of each item sold! How many of each did you sell?

Answer:cost for basket ball= $8 and

cost of baseball = $2

Step-by-step explanation:

Step 1

Let the cost of basket ball be represented as x

and cost of  baseball = y          such that

Four basketballs and six baseballs cost $44 will be expressed as

4x+ 6y= 44  --- eqn 1   also

Five basketballs and four baseballs costs $48 will be expressed as

5x+ 4y= 48--- eqn 2

Step 2

Having obtained two expressions we can now sole

4x+ 6y= 44  --- eqn 1

5x+ 4y= 48--- eqn 2

multiplying eqn 1 by 5 and eqn 2 by 4

20x+ 30y =220---- eqn 3

20x+ 16y=192-----eqn 4

subtracting equation 4 from 3   we now have

14y=28

y= 28/14

y=2 = $2

from equation 1

4x+ 6y= 44, putting the value of y=7 to find x

4x+ 6(2)= 44

4x+12= 44

4x= 44-12

4x=32

x= 32/4

x=8=$8

cost for basket ball= $8 and

cost of baseball = $2

Answer:

I think the answer is a .

Answer:

Step-by-step explanation:Area = 1/2(b1 + b2)x h

Area = 18,000 ft^2

b1 = 80 ft

b2 = 100 ft

18,000 = 1/2(80 + 100) x h

36,000 = (180)h

h = 36,000/180

h = 200ft.

This is the distance between streets.

Hope this helps :-)Area = 1/2(b1 + b2)x h

Area = 18,000 ft^2

b1 = 80 ft

b2 = 100 ft

18,000 = 1/2(80 + 100) x h

36,000 = (180)h

h = 36,000/180

h = 200ft.

This is the distance between streets.

Hope this helps :-)

Answer:

$8.00 tip

$48.00 total (haircut+tip)

Step-by-step explanation:

40 x .20 = 8

40 + 8 = 48

Answer:

Step-by-step explanation:

Answer:

A. Angle 1 and Angle 7

Step-by-step explanation:

Those two are the only angles that when added up, the sum is 180.

Angle 7 and Angle 2 are also congruent, so if Angle two forms a straight line with Angle 1, Angle 7 should be able to do that too.

Answer:

Step-by-step explanation:

A

9514 1404 393

Answer:

  Part A: B

  Part B: 1

Step-by-step explanation:

Part A:

The meaning of "at most" is "less than or equal to." If we assume that the variables x and y represent numbers of loaves of banana bread and nut bread, respectively, then the first problem statement tells you ...

  x + y ≤ 30 . . . . . the total of loaves baked is at most 30

Only one answer choice has this inequality listed: choice B.

__

Part B:

The numbers of loaves of bread will not be negative. The only quadrant that has both coordinates positive is the 1st quadrant.

__

Comment on quadrant

Real-world problems involving numbers of items are often expressed in terms similar to those seen here. The assumption that is made in all such problems is that the quantity of items cannot be negative. That is, the constraints x ≥ 0 and y ≥ 0 are always considered part of the problem description. These limit solutions to Quadrant 1. (or I, if you use Roman numerals for numbering quadrants)

Answer:

Yes this cleaner would be recommend.

Step-by-step explanation:

This cleaner would be recommend because it kills 0.999% of germs and when they mean 0.999% it rounds up to 1% = 100% so that will mean that 0.999% of the germs will be killed.

To be understood the 1% is equal to = 100% but just has no zeros. So this will mean that the 0.999% would be almost equal too 100%

Mark as Brainllest pls!

Answer:

The answer for this proportion is 6/10 ft

Answer:

-1.4

Step-by-step explanation:

-7/5 = -1.4

Answer:

-91

Step-by-step explanation:

d/7=-13

d=-13*7

d=-91

Answer:

d=-91

Step-by-step explanation:

d/7=-13

d=-13*7

d=-91

Answer:

18

Step-by-step explanation:

Answer:

3-w

Step-by-step explanation:

8+(-5)+(-7w)+6w

8-5-7w+6w

3-7w+6w

3-w

Answer:

113.04

Step-by-step explanation:

Use the formula A=[tex]\pi[/tex][tex]r^{2}[/tex]

A= [tex]\pi (6^2 )[/tex]

6*6 =36

multiply 3.14 by 36

36*3.14=113.04

Answer:

7/8

Step-by-step explanation:

7/10 divided by 4/5 = 7/10 x 5/4 = 35/40 divided by 5/5 = 7/8

Answer:

The probability is 6/42. If you need it simplified it's 1/7.

Step-by-step explanation:

If it's wrong please let me know :)

Answer:

the answer is y = 7x - 9

Step-by-step explanation:

hope this helps

Answer:

There are both positive and negative values to substitute for x in x2 = 9. In the positive numbers, 32 = 9, so x = 3 is a solution. In the negative numbers, -32 = 9, so x = -3 is also a solution. The solutions for x2 = 9 are 3 and -3.

from edmentum might wanna change it up<3

The value of x for the expression x² = 9 is,

⇒ x = ±3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² = 9

Now, We can simplify as;

⇒ x² = 9

⇒ x² - 9 = 0

⇒ x² - 3² = 0

⇒ (x - 3) (x + 3) = 0

⇒ x = 3 or x = - 3

Thus, The value of x for the expression x² = 9 is,

⇒ x = ±3

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

9. a+b=17

b=3+a

17=a+3+a

14=2a

7=a

b=3+7

b=10

10. 156.25/6.25= 25 hrs

Answer:

9. x = 7, y = 10

Step-by-step explanation:

9. I first set up an equation x+y=17

then I set up a second equation y = x+3

I substitute y for x+3 and get x+x+3=17 or 2x+3=17

then I just evaluate the equation x=7

I then use my first equation x+y = 17 and substitute the value 7+y= 17 and get y = 10

10. Just divide 156.25 with 6.25 to get the number of hours she had to work to get 156.25 dollars. The answer would be 156.25/ 6.25 = 25

Answer:

About 4.5 units

Step-by-step explanation:

Please let me know if you want me to add an explanation

Answer:

Yes

Step-by-step explanation:

A right angle means that the lines will create an L or X or T when they intersect. This is exactly the definition of perpendicular, that the shapes will intersect and create at least one right angle.

Answer:

If you ever see a little square at the corner of a shape, then you know that not only is this a right angle, and thus, 90 degrees, but that the two lines that form such an angle are perpendicular to one another. Squares and rectangles always have four right angles!

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

add and subtract so it can be equivlant to the rectangle's area

Answer:

2. Obtuse

3. Right

Step-by-step explanation:

Answer:

2 is obtuse 3 is right

Step-by-step explanation:

i've done this before

Answer: -5

Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.

In this sequence, we are adding -5 each time

so our common difference is -5.

Answer:

[tex]\boxed{\textsf{ The required point is \textbf{ E ( 6,1)}.}}[/tex]

Step-by-step explanation:

Here we need to find at which point is (6,1) is located . So ,

when we look at the given coordinates we see that both the coordinates are positive that is 6 and 1 respectively. So we know that in 1st quadrant both the coordinates are positive .

Hence from this we can inference that the point lies in the first quadrant . Now on looking at point we need to move 6 steps on x axis . Hence we reach at (6,0) . Now according to y coordinate we need to move up one step . And finally we reach at (6,1) And this point on the given graph is E .

Answer:

(0,35)

(1,50)

(2,65)

(3,80)

Y intercept: 35

Slope: 15

This means that it has an independent cost of $35 and a variable fee of 15

Step-by-step explanation:

It's near impossible for me to show you where the line goes and so I'm just going to give you five or so points

To get the 5 point just plug different x values in

(0,35)

(1,50)

(2,65)

(3,80)

The slope intercept equation looks like the following

y=mx+b

where b is the y intercept and m is the slope

this means our equation's slope is 15 and the y intecept

is 35

Answer:

x = -4

Step-by-step explanation:

-5x-4x-2 = -8x+2 is the only one with a solution.

-5x-4x-2 = -8x+2

-x-2 = 2

-x = 4

x = -4

Answer:

Z=20 Degrees

Step-by-step explanation:

We know that all of the angles of a triangle add up to 180, so:

65+55+ Angle A = 180

Simplify:

120+ Angle A = 180

Subtract 120 from both sides:

Angle A = 60

If you look at the bottom you can see that the 15 turns into 5, meaning it is being divided by 3, so:

60/3=20

Z=20 Degrees

Answer:

Angle E is 60 degrees

Step-by-step explanation:

So z is an angle.

That would be point E.

This triangle was dilatated so we can match it up with the larger one. In a dilation, angle measures do not change. So matching up the points E would be equal to A, which of course it the only one with an angle measure not given.  

All you have to do is add up the two angle measures and subtract that by 180 (total of all angles combined).

So 65+55=120

180-120=60

Angle A is 60

Which makes angle E 60 as well

Hope that helps!

Answer:

1. 169     2. 163      3. 54       4. 221      5. 6         6. 7         7. 11        8. 9

Step-by-step explanation:

Remember the Order of Operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtract

*But always solve from left to right so there can be times where you either have to do division before multiplication or subtraction before addition

1. 14 + 18 ÷ 2 x 18 – 7

14+9 x 18-7

14+162-7

176-7

169

2. 15 x 10 + 12 ÷ 3 + 9

150+12÷3+9

150+4+9

154+9

163

3. 8 x 4 + 9 – 9 + 18

36+9-9+18

45-9+18

36+18

54

4. 2 - 1 + 5 x 4 x 11

2-1+20x11

2-1+220

1+220

221

5. 60 – 9 x 8 ÷ 8 x 6

60-72÷ 8 x 6

60-9x6

60-54

6

6. (10 ÷ 5)3 + 100 – 9 x 11

(2)3+100-9x11

6+100-9x11

6+100-99

106-99

7

7. 3 x 8 x 2 – 42 + 5

24x2-42+5

48-42+5

6+5

11

8. 14 ÷ 2 -1 + 3

7-1+3

6+3

9