1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka [77]
3 years ago
6

1. At a fundraiser breakfast, the bill for 3 glasses of orange juice and 5 pancake specials is $7.60, whereas the bill for 1 gla

ss of orange juice and 2 pancake specials is $2.90. a. Write a system of 2 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. b. Use the substitution method to solve the system of equations. c. What would the bill be for 1 glass of orange juice and 1 pancake special?
Mathematics
1 answer:
RoseWind [281]3 years ago
6 0
A.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90

b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
<span>If:
3j + 5p = 7.60
</span><span>j = 2.90 - 2p
</span>Then: 
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10

If:
<span>j = 2.90 - 2p
</span><span>p = 1.10
</span>Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70

Thus, the price of a glass of juice is $0.70 and <span>the price of a pancake special is $1.10.

c.
If:
p = 1.10
j = 0.70
Then: 
j + p = 1.10 + 0.70 = 1.80

Thus, </span><span>the bill for 1 glass of orange juice and 1 pancake special is $1.80.</span>
You might be interested in
Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total o
DaniilM [7]
They played 9.17 games
6 0
3 years ago
Read 2 more answers
Simplify 36x^2/64x^2y
aniked [119]

Answer:  3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

3 0
3 years ago
Read 2 more answers
A right triangle has an area of 50 square inches. If the triangle is an isosceles triangle, what are the lengths of the legs of
Fed [463]
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length.  Orient the base of this triangle so that it's horizontal, and represent its length by b.  Let h represent the height of the triangle.  Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.   

Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2.  Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).

The length of one of the legs is the sqrt of  [5sqrt(2)]^2+[5sqrt(2)]^2, or

sqrt(25(2)+25(2)) = sqrt(100) = 10.



</span>
4 0
3 years ago
Orlando bought a new couch for $2,904, using the furniture store's finance plan. he will pay $121 a month for 24 months. which e
goldenfox [79]
$2,904= $121x24
You have to multiply the monthly payment by 24 which gives you $2,904
6 0
3 years ago
What is the area of the figure​
svp [43]

Formula for the area of a triangle:

( Base X Height ) Divided by 2 or (B×H) ÷ 2

Formula for the area of a circle:

PI times the radius squared or PI × r^2

Area of the triangule part of this figure:

Base: 8ft. Height: 6ft

(8ft × 6ft) ÷ 2

48ft^2 ÷ 2

24ft^2

Since the circular part of the figure is a SEMICIRCLE, we are finding the area of a circle with the same radius but dividing it by 2 since thats just a half of a circle

Area of the semicricle:

Diameter: 10ft,

Therefore the radius is 5ft

(PI x 5ft^2) ÷ 2

39.2699081699 ft^2

39.27 ft^2

Now add these two areas together:

24ft^2 + 38.27ft^2 = 62.27ft^2

Hope it helps

6 0
3 years ago
Other questions:
  • HELP FAST!!
    6·2 answers
  • Select all that apply. A right triangle can also be a(n) _____ triangle.
    8·1 answer
  • What is the average of 27 and 45?
    5·1 answer
  • Find the line parallel to y = -3x + 1 that passes through (9, 0). Plls Hurry I'm being timed
    6·1 answer
  • Felix's washing machine uses 6 gallons of water. How much water does it use in liters? A gallon is approximately 3.79 liters. Ro
    13·1 answer
  • Find x and y<br><br> Help me please
    12·1 answer
  • What is a-6=8-(9+a) solved?
    5·1 answer
  • Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen
    12·1 answer
  • In what base does 126 + 26b = 410?<br> The base, b, is ___ (Type a whole number.)
    8·1 answer
  • To find the distance across a lake, a
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!