At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for one glass of orange juice and two pancake specials is $2.90. Write a system of two equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special.

Use the substitution method to solve the system of equations.

What would be the bill for one glass of orange juice and one pancake special?

And then Solve the system by the linear combination method Show all work and then Graph the system of linear inequalities. Then state two possible solutions to the system.

Answers

Answer 1

Answer: 1) 3j + 5p = 7.60 and 1j + 2p = 2.90

2) Solving for j and p
j = 2.90 - 2p

3(2.90 - 2p) + 5p = 7.60
8.7 - 6p + 5p = 7.60
8.7 - p = 7.60
-p = -1.1
p = 1.1

1j + 2(1.1) = 2.9
j + 2.2 = 2.9
j = .7

3) The values of p and q:
p = $1.1 per pancake, j = .70 cents per glass

Related Questions

Five years ago, Rhea put $20,000 into savings. Now it's worth $30,000. Which of the following statements is true for this situation?
0.16 to the nearest whole number
WILL CHOSE BRAINLIEST TO FIRST ANSWER PLZZZZZZ HELP THE QUESTION IS IN THE LINK.
Solve y to the power of 2 =256
Rename the number. 204 thousands= ---------

Mrs. Chen owns two pieces of property. The areas of the properties are 77,120 square feet and 33,500 square feet. 43,560= 1 acre
Find the total number of acres Mrs. Chen owns, to the nearest hundredth of an acre and please explain how to do it.

Answers

First add the two areas of the properties together.
77120 + 33500 = 412120 square feet
Divide this number by 43560 to get the number of acres.
412120/43560 = 9.46

Answer: 9.46 acres

Okay so there are two pieces of property Mrs. Chen owns, so in order to find the total number of feet, add 77,120 and 33,500.
77,120 + 33,500= 110,620
1 acre= 43,560
To find the total number of acres now, you divide 110,620 ÷ 43,560
and that equals about 2.54. (Since you asked for the nearest hundredth of an acre)
If I'm wrong, please forgive me.
I notice that you are in high school and I am in middle school, so if I am wrong, I am so sorry. But if I'm correct, I hope this helped!
- Alina (:

(3 pt) Which shows the dimensions of two rectangular prisms that have volumes of 320 mm3 but different surface areas? A. 16 mm by 5 mm by 4 mm; 5 mm by 4 mm by 16 mm B. 10 mm by 4 mm by 6 mm; 6 mm by 10 mm by 4 mm C. 8 mm by 10 mm by 4 mm; 10 mm by 8 mm by 4 mm D. 8 mm by 10 mm by 4 mm; 20 mm by 8 mm by 2 mm

Answers

D. 8 mm by 10 mm by 4 mm
20 mm by 8 mm by 2 mm

8 x 10 x 4 = 320 mm
20 x 8 x 2 = 320 mm

Given the following information, determine if one of the brands is a better buy.Brand A: 14 ounces for $44.66
Brand B: 20 ounces for $63.80
a.
Both brands cost the same per ounce.
b.
Brand A is the better buy.
c.
Brand B is the better buy.
d.
There is not enough information provided to determine the better buy.

Answers

Determine how much cost one ounce in both cases:

1. Brand A: 14 ounces for $44.66, then 1 ounce costs $(\$44.66)/(14) =\$3.19.$

2. Brand B: 20 ounces for $63.80, then 1 ounce costs $(\$63.80)/(20) =\$3.19.$

As you can see both brands cost the same per ounce.

Answer: correct choice is A.

Both brands have the same cost which is 3.19 dollars/ounce. The correct answer is option A.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine which brand is the better buy, we need to compare the cost per ounce of each brand.

For brand A:

Cost per ounce = 44.66/14

Apply the division operation,

Cost per ounce = 3.19 dollars/ounce

For brand B:

Cost per ounce = 63.80/20

Cost per ounce = 3.19 dollars/ounce

Therefore, both brands have the same cost per ounce.

Hence, the correct answer is option A.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 30,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 27°. (Round your answers to the nearest foot.)(a) What is the distance between the plane and the arch?
(b) What is the distance between a point on the ground directly below the plane and the arch?

Answers

Answer:

X = 33,669.78 ft

Y = 15285.76 ft

Step-by-step explanation:

Given data:

let x be the distance btwn arch and plane

and y be the distance btwn ground point and arch y

we know that

$cos\theta = (adjacent)/(hypotaneous)$

$cos(27) = (30,000)/(x)$

xcos27 = 30000

$x = (30000)/(cos 27)$

x = 33,669.78 ft

b) we knwo that

$tan \theta = (opposite)/(adjacent)$

$tan 27 = (y)/(30000)$

y = tan(27) (30000)

y = 15285.76 ft

Which are ways to decompose the composite figure into simpler shapes that you have area formulas for? Check all that apply.

Answers

Answer: this is ez its

first

second

third

Step-by-step explanation:

Answer:

1st and second, unless you have already learned area of trapezoids. If you have, add third

Step-by-step explanation:

A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers. The margin of error for the population proportion is ± _____%.

Answers

In a survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employer, the margin of error for the population proportion is ± seventeen (17) or ± 5.67%.

Answer:

Step-by-step explanation:

Given that A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits offered by their employers

i.e. sample size n =300

Sample proportion p = 0.10

q=1-p=0.9

Std error = $\sqrt{(pq)/(n) } =\sqrt{(x0.1(0.9))/(300) } \n=0.01732$

Margin of error at 95% would be

1.96*std error

= 0.0339=3.39%

Other Questions

My age is 13 and i was born in 2006 and my brother was born in 2004 how old he.is

If you have an 81 for your 9 weeks grade but make a 70 on your exam whats going to be your final grade?

25a² - 16b² when a = --2 and b = 3

If a = 2.3 units, b = 3 units, c = 5 units, and d = 7 units, what is the volume of the two prisms?a 126 cubic unitsb 71.45 cubic unitsc 89.45 cubic unitsd 74.75 cubic units