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levacccp [35]
3 years ago
10

Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost

her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. How much does a pound of carrots cost?
Mathematics
2 answers:
larisa86 [58]3 years ago
6 0

Answer:

Potato price = $1.5 / pound ; Carrot price = $1.75 / pound

Step-by-step explanation:

Let price of carrot per pound = c

Let price of potatoes per pound = p

Given :

2c + 3p  = 8   (eqtn A)

4c + 4p = 13 (eqtn B)

Multiplying eqtn A by 2 ;

4c + 6p = 16

4c = 16 - 6p (eqtn Y)

By eqtn B ;

4c = 13 - 4p (eqtn Z)

By eqtn Y & Z ;

16 - 6p = 13 - 4p

16 - 13 = - 4p + 6p

3 = 2p

p = 3 /2

p = 1.5 [Potato price]

Putting p value in eqtn A

2c + 3 (1.5) = 8

2c + 4.5 = 8

2c = 8 - 4.5

2c = 3.5

c = 3.5 / 2

c = 1.75 [Carrot Price]

uysha [10]3 years ago
5 0

Answer:

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Step-by-step explanHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIsorry i am broad and i have to finish my vocabulary

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C because it is an inequality
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3 years ago
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A quadrilateral has its interior angles X, 47, 95, 82. Find<br>the value of x​
Oksana_A [137]

Answer:

x=136

Step-by-step explanation:

To find the measure of the sum of the interior angles use the formula (n-2) times 180 where n is the number of sides.

A quadrilateral has 4 sides. (4-2) times 180. 2 times 180=360

The sum of the interior angles of a quadrilateral is 360.

x+47+95+82=360

x+ 224 = 360

x= 136

5 0
3 years ago
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em
allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Download pdf
6 0
2 years ago
A) Write each expression in expanded form. B) Then calculate the value of the
Tatiana [17]

A) (3)² = 3 × 3 and 10(8)² = 10 × 8 × 8

B) (3)² = 9 and 10(8)² = 640

For any number x, the square of the number denoted by (x)² is equal to 2 times x multiplied by itself or x*x.

Here, we are given two expressions- (3)² and 10(8)²

we need to write both of them in expanded form and then write their values.

Expanded form of (3)² is 3 × 3

The value of the expression (3)² will be-

(3)² = 3 × 3 = 9

Similarly, expanded form of 10(8)² is 10 × 8 × 8

The value of the expression 10(8)² will be-

10(8)² = 10 × 8 × 8 = 640

Learn more about expanded form here-

https://brainly.in/question/19612773

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8 0
2 years ago
Why wont anybody help me i posted like 5 questons but heres the question :(
melamori03 [73]

Answer:

i got you fam

Step-by-step explanation:

its b fam because the top x value goes by 1 then 2 and the y value goes from 2 to 4  

6 0
2 years ago
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