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rodikova
19 days ago
9

When Devon cashed a $450 check at the bank, the teller gave him 18 bills, all $20 bills and $50 bills. Which system of equations

can be used to find how many of each type of bill Devon received? A) f- t = 18; 50f + 20t =450 B) f + t = 18; 50f + 20t = 450 C) f + t = 450; 50f + 20t = 18 D) f + t = 18; 50f - 20t =4 50
Mathematics
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Stacy wishes to reduce the milk fat content of 5 pints of cream which is 15% fat by combining it with 7 pints of milk which is o
AnnZ [12381]

Answer:

The fat percentage in the blend amounts to 8%.

Step-by-step explanation:

Let

x -----> represent the fat percentage in the mix.

We understand that

The total of milk's volume times its fat percentage, added to cream's volume times its fat ratio, must match the overall mixture's volume times its fat percentage.

Keep in mind that

15% = 15/100 = 0.15

3% = 3/100 = 0.03

therefore

5(0.15)+7(0.03)=(5+7)(x)

Now, solve for x

0.75+0.21=12x

0.96=12x

x=0.08

Convert that into a percentage

0.08*100=8\%

4 0
3 months ago
Mrs. Hernandez bought 18 pens for her class. Highlighters cost $3 each, and gel pens cost$2.50 each. She spent a total of $50. W
AnnZ [12381]
18*2.50=45
50-45=5
Highlighters are priced at $3, which means she bought only one highlighter.
5-3=2
45+3=48
(The last 2 dollars likely account for tax)
8 0
2 months ago
An average person in the country needs 2,450 kilocalories / day of food to meet their full nutritional needs. The average number
tester [12383]

Answer:

Area of land = 0.056 hectares

Detailed explanation: Knowing that

A typical person in the country requires 2,450 kilocalories each day. This means

An individual consumes 2450 kilocalories daily

The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.

Thus, in one day, for one individual, we have

15737000 = 2450/hec

Hectare = 2450/15737000

Hectare = 1.5568 × 10 -4

The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be

Calculated hectare × 365.25

Hectare = 1.5568 × 10 -4 × 365.25

Area of land = 0.056 hectares

7 0
4 months ago
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