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Wittaler [7]
3 years ago
11

Jacob can create an app in 24 hours, but if he works together with a friend they can create an app in 16 hours. How long would i

t take for his friend to create this app alone?
Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

Time taken by his friend to create the app alone = 48 hours.

Step-by-step explanation:

Hours needed by Jacob to create an app = 24 hours

\text{One hour work of Jacob = }\frac{1}{24}

Let hours needed by his friend in creating the app alone = x hours

\text{So, one hour work of his friend = }\frac{1}{x}

The both can create the app in 16 hours.

\implies \frac{1}{24}+\frac{1}{x}=\frac{1}{16}\\\\\implies\frac{1}{x}=\frac{1}{16}-\frac{1}{24}\\\\\implies\frac{1}{x}=\frac{24-16}{24\times 16}\\\\\implies \frac{1}{x}=\frac{1}{48}\\\\\bf\implies x = 48

Hence, Time taken by his friend to create the app alone = 48 hours.

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Chrissy went to the grocery store Thursday night and spent $22.54. She paid
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Step-by-step explanation:

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3 years ago
A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Aleks [24]

Answer:

<u>The number of pens = 120 and the number of pencils = 200</u>

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

from eq.(2) x = y - 80

By substitution with x from the last equation at eq.(1)

∴ (y - 80) + 0.5 y = 220

1.5y = 220 + 80 = 300

y = 300/1.5 = 200

x = y - 80 = 200 - 80 = 120

<u>So, the number of pens = 120 and the number of pencils = 200</u>

7 0
3 years ago
What are the excluded values? b = 0 and -10 b = 2 and 5 b = 3 and 7 none of the above
Dominik [7]

b= 2 and 5

is your answer to the above question.

8 0
2 years ago
Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)
VladimirAG [237]

Answer:

C

Step-by-step explanation:

First use distribution

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and

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combine the 2 answers

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3 0
3 years ago
I) Construct a triangle PQR such that |PQ|=8cm,{RPQ=90°{PQR=30°.Measure |RQ|​
scoray [572]

Answer:

6.93 cm

Step-by-step explanation:

You have a right triangle (90°), so you do as follow:

If I understand correctly, you are looking for the hypotenuse so

cos(30) = \frac{PQ}{QR} = \frac{8 cm}{QR}

That is equal to QR = cos(30)*8 cm = 6.928 cm

5 0
3 years ago
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