At football games, Stagg Boosters charges $2 for hot chocolate and $3 for Gatorade. The boosters sold
126 drinks totaling $306. How many hot chocolates did they sell?

Pleas help!

Answers

Answer 1

Answer:

72 hot chocolates

Step-by-step explanation:

2h + 3g=306 equation 1 h=hot chocolate g=Gatorade

h + g =126. equation 2

h=126-g isolate h in equation 2

2(126-g) + 3g =306 substitute h value of equation 2 (126-6) into h value eq 1

252-2g+3g=306

g=54

solve for h:

h + g = 126

h+54=126

h=72

check answer:

2h + 3g=306

2(72) +3(54)=306

144+162=306

306=306


Related Questions

4. What type of line of symmetry does this triangle have? horizontal vertical This triangle has no line of symmetry. diagonal​

Answers

D: Diagonal Line of Symmetry, it goes evenly through the 90 degree angle.

solve the inequality please ​

Answers

Answer:

The solution is 4 >/= -21

4 is greater than or equal to negative 21

Step-by-step explanation:

7x + 4 >/= 7(x - 3)

We'll start by distributing the y7 to the items in parentheses

7x + 4 >/= 7x - 21

Subtract 7x from both sides

4 >/= -21

Find the dot product of u and v.

Answers

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

  u·v = -4

5x+3x+2y+4y (simplify)

Answers

8x + 6y is your answer.

Answer:

Combine like terms:

(5x + 3x) (2y + 4y)

8x + 6y is your algebra expression.

This figure shows an oblique triangle-based pyramid.
What is the volume of the figure?

Answers

Answer: 88 cm^3

Step-by-step explanation:

= 1/2 • bh

= 1/2 • 6 • 8

= 24

= 1/3 • 24 • 11

= 88 cm^3

The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.

What is volume?

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,

Calculate the volume as shown below,

The Volume of the pyramid = 1 / 3 × Area of the triangle × height

The volume of the pyramid =  1 / 3 × 1 / 2 × 6 × 8 × 11

The volume of the pyramid = 528 / 6

The volume of the pyramid = 88

Thus, the volume of the pyramid is 88 cm³.

To know more about volume:

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A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?

Answers

Answer:

B (5; 13)

Step-by-step explanation:

Midpoint (x) = (-1 + bx)/2 = 2

Bx - 1 = 4

Bx = 5

Midpoint (y) = (-3 + By)/2 = 5

By - 3 = 10

By = 13

B (5; 13)

Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.

Answers

answer:

step-by-step explanation:
7/200 of them were defective
7/200 = 0.035
193/200 of them were approved
193/200 = 0.965
y being the number of boxes approved
x being to amount of time
y = 0.965x - 0.035

What is the value of y?
please hellpp!!!

Answers

Answer:

C=54°

Step-by-step explanation:

If u add each angle of a triangle should ways add up to 180°

A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the nearest tenth.

V = 6434.0 m3
V = 2804.2 m3
V = 1402.1 m3
V = 3217.0 m3

Answers

Answer:

3215 .36 m³ is the required volume.

Step-by-step explanation:

Base area of Cylinder = 64π m²

Height of cylinder is equal to twice the radius .

As we know that ,

★Base Area of Cylinder = πr²

where,

π is taken as 22/7 or 3.14

r is the radius of cylinder

Substitute the value we get

↝ 64 π = πr²

↝ 64 = r²

↝ √64 = r

↝ 8 = r

↝ r = 8 m

Now, it is given that height is equal to twice of radius

Therefore ,

height = 2r = 2×8 = 16 m

★Volume of Cylinder = πr²h

substitute the value we get

↝ volume of Cylinder = 3.14 × 8² × 16

↝volume of Cylinder = 3.14 × 64 × 16

↝volume of Cylinder = 3215 .36 m²

Hence, the required volume of cylinder is 3215 .36 m³.

Answer:

3217.0

Step-by-step explanation:

1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.

Answers

Answer:

1. 144.4 m²

2. 120 m³

Step-by-step explanation:

The figure is composed of a triangular prism and a rectangular prism

1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)

✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L

b = 5 m

h = 2 m

s1 = 3.2 m

s2 = 3.2 m

s3 = 5 m

L = 6 m

Plug in the values

Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6

= 10 + (11.4)*6

= 78.4 m²

✔️Area of rectangular prism = 2(LW + LH + WH)

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Area of rectangular prism = 2(6*5 + 6*3 + 5*3)

= 126 m²

✔️Area of the face joining both figures = L*W

L = 6 m

W = 5 m

Area = 6*5 = 30 m²

✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)

= 48.4 + 96

= 144.4 m²

2. Volume of composite figure = volume of triangular prism + volume of rectangular prism

= ½*a*c*h + L*W*H

a = 2 m

c = 5 m

h = 6 m

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Volume = ½*2*5*6 + 6*5*3

Volume = 30 + 90 = 120 m³

I am a line that intersects a circle at 2 points WHAT AM I?​

Answers

if it’s a riddle i have no idea. if it’s a math question related to the rules of circles it would be a secant line.

Consider A TUV in the figure below.
The perpendicular bisectors of its sides are AD, BD, and CD. They meet at a single point D.
(In other words, D is the circumcenter of A TUV.)
Suppose CD= 36, BV=58, and UD = 60.
Find UV, VD, and TC.
Note that the figure is not drawn to scale.
U
V
UV - 10
D
VD = 0
TC -
Х
?

Answers

Answer:

Step-by-step explanation:

8

Please help will give brainlyist

Answers

Number 11
Since the auditorium can hold 600 and the student body will be divide by four parts
The answer is
x ≤ 2400

(08.06 LC)
Identify the factors of x2 + 16y? (5 points)
O (x + 4y)(x + 4y)
O (x + 4y)(x - 4y)
Prime
O (x - 4y)(x - 4y)

Answers

Answer:

Prime

Step-by-step explanation:

2(x?)+16y

O(x+4y)(x+4y)

x²+4xy+4xy+16y²

x²+8xy+16y²

O(x+4y)(x-4y)

x²-4xy+4xy-16y²

x²-16y

Prime

O(x-4y)(x-4y)

x²-4xy-4xy+16y²

x²-8xy+16y²

All are incorrect except prime, so the answer is prime.

---

hope it helps

Whats the answer?This is trigonometry ​

Answers

Answer:

100

Step-by-step explanation:

Factorise a^2-b^2 but it has no indecies

Answers

Answer:

(a+b)(a-b)

Step-by-step explanation:

Can i get some help solving this problem please. 2x=x-10

Answers

Answer:

x=3.33

Step-by-step explanation:

2x=x-10

2x+x=10

3x=10

x= 10/3

x= 3.33

Find the area in square inches. <3

Answers

To find the area of a triangle you are supposed to use the formula:

1/2 x b x h

So we know the height and base is 9 and 12:

1/2 x 9 x 12

Multiply the newly made equation and you get:

54


Have an awesome day <3

If a statue made from 1000 cm^3 of bronze has a mass of 8.7kg. what is the mass of a statue made from 4500cm^3 of bronze?

Answers

Answer:

screenshot

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

Minutes No. of Homework
Problems
2 or Less
3-4
5-6
7-8
9 or more 8
4
2
0
3

What is the number of homework problems that took less than 5 minutes in the given table?
A.
4
B.
14
C.
12
D.
8

Answers

Could you please provide a picture of the table? This is very confusing.

FIRST PERSON TO ANSWER GET MARKED BRAINLY
Find the value.

Answers

Answer: 3 x 5²= 75

Step-by-step explanation:

How I got my answer was multiplying 3 x 5= 15 then 15 x 5=75 on my paper and that should be the right answer hope it help and the answer should be 75

Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.

Answers

Answer:

5,000+6,000+7,000+,9,000+6,000+5,000= 38,000

Step-by-step explanation:

The minimum cost of meeting the demands of the next six months is $7475.00.

Here, we have,

To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.

Let's break down the problem into several steps:

Step 1: Calculate the regular production capacity and overtime capacity:

Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.

Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.

Given:

Regular working hours per month: 150 hours

Overtime hours per month: 40 hours

Time to produce a pair of shoes: 20 minutes (1/3 of an hour)

Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month

Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month

Step 2: Create a monthly production plan:

We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.

Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.

Month 1:

Demand: 5000 pairs

Additional production needed: 5000 - 500 = 4500 pairs

Month 2:

Demand: 6000 pairs

Additional production needed: 6000 - (500 + 4500) = 1000 pairs

Month 3:

Demand: 7000 pairs

Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs

Month 4:

Demand: 9000 pairs

Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs

Month 5:

Demand: 6000 pairs

Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs

Month 6:

Demand: 5000 pairs

Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs

Step 3: Determine the hiring and firing decisions:

To minimize costs, we need to hire or fire workers based on the additional production needed for each month.

Based on the calculations from Step 2, we can identify the following hiring and firing decisions:

Month 1:

Additional production needed: 4500 pairs

Hire 5 workers (cost: 5 * $1000 = $5000)

Month 2:

Additional production needed: 1000 pairs

No hiring or firing needed (as the existing workforce can handle it)

Month 3:

Additional production needed: 1000 pairs

No hiring or firing needed

Month 4:

Additional production needed: 2000 pairs

No hiring or firing needed

Month 5:

Additional production needed: 0 pairs

No hiring or firing needed

Month 6:

Additional production needed: 0 pairs

No hiring or firing needed

Step 4: Calculate the costs:

Now, we can calculate the costs associated with hiring, firing, and production.

Hiring cost: $5000 (Month 1)

Firing cost: $0 (No firing needed)

Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.

Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)

Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50

Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50

Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00

Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00

Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00

Total cost:

Total cost = Hiring cost + Firing cost + Holding cost

= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)

= $7475.00

Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.

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Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday. Meg wants to know how much would be in her brother's account if he has double her balance.
- A = -125.17
- B = -250.34
- C None of the above
Pls answer quick!!

Answers

−300 + 174.83 = -125.17. A is the answer!

What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7

Answers

PEMDAS so parentheses first meaning you subtract 5 from 12

I need help to find the value of X?

Answers

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight

Answers

Answer:

The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)

Step-by-step explanation:

Solve for each unknown angle measure...


Please help! This a a test btw so please give me the right answer!​

Answers

Answer:

because l1//l2 => z + 65 = 180

y + 65 = 90

x + 65 = 90

<=> z = 115

y = 25

x = 25

Answer:

x=25

y=25

z=115

Step-by-step explanation:

x congruent to y

180-90-65=25

180-65=115

Find the area of the following figure and write your result in the empty box.

Answers

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7

Answers

Answer:

C. 5 3/4

Step-by-step explanation:

You have to write all numerators above the common denominator

4+7/4=16+7/4

Add the numbers together

16+7/4=23/4

Simplify the fraction

23/4=5 3/4

What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.

Answers

Answer:

I think it's A but I'm not sure

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