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Viefleur [7K]
3 years ago
6

Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe

r of pounds of limes and let p be the number of pounds of pears.
The system of linear equations that models this scenario is:

l + p = 9

0.5l + 1.5p = 9.5

How many pounds of each type of fruit did she buy?
Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

4 pounds of lime and 5 pounds of pears

Step-by-step explanation:

I + P = 9

0.5l + 1.5P = 9.5

I = 9 - P

0.5(9 - P) + 1.5P = 9.5

4.5-0.5P + 1.5P = 9.5

4.5 + P (1P) = 9.5

P = 9.5-4.5 = 5

I = 9 - 5 = 4

Answer: 4 pounds of lime and 5 pounds of pears

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algol13

Answer:

k = 2

Step-by-step explanation:

Based on the right triangle altitude theorem, thus:

4 = √(k*8)

Square both sides

4² = k*8

16 = 8k

Divide both sides by 8

16/8 = 8k/8

2 = k

k = 2

7 0
3 years ago
Is this a relation or a function explain your answer
mash [69]
Relation because a function can not have two ( , ) with the same x value.
4 0
3 years ago
What is the Median for the following set of numbers? ​21 23 76 47 55 135 45 30 17
Leno4ka [110]

Answer:

Median = 45

Step-by-step explanation:

We are given the following data set:

21, 23, 76, 47, 55, 135, 45, 30, 17

Median is the number that divides the data into two equal parts.

Formula:

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data:

17, 21, 23, 30, 45, 47, 55, 76, 135

Sample size = 9, which is odd

Median =

\dfrac{9+1}{2}^{th}\text{ term} = \dfrac{10}{2}^{th}\text{ term} = 5^{th}\text{ term}\\\\= 45

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7 0
3 years ago
there are 270 at Colfax Middle School, where the ratio of boys to girls is 5:4. there are 180 students at Winthrop Middle School
ruslelena [56]

Colfax:

Add the ratio numbers together:

5 + 4 = 9

Divide total students by that:

270 / 9 = 30

Multiply each ratio by 30:

Boys = 30 *5 = 150

Girls = 30 * 4 = 120


Do the same for Winthrop:

4 +5 = 9

180 /9 = 20

Boys = 20 * 4 = 80

Girls = 20 * 5 = 100


Total students = 270 + 180 = 450

Total Girls = 120 + 100 = 220


Fraction that are girls = 220 / 450 which reduces to 22/45

4 0
3 years ago
Yolanda wants to pour 91.48 grams of salt into a container so far she has poured 72.2 grams how much more salt should Yolanda po
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Answer:

19.28

Step-by-step explanation:

91.48 minus 72.2

5 0
2 years ago
Read 2 more answers
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