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horsena [70]
3 years ago
12

Write the following as an expression: How much water do I need to add to l liters of pure alcohol to obtain a solution of 45% al

cohol? The answer is an EXPRESSION, not an actual answer!! WILL MARK BRAINLIST!!!
Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

amount of water w

l liter of pure alcohol = 100% alcohol

solution is 45 % percent alcohol

total amount of fluid is w+l

(w+l)( .45) = l*.100

Distribute

.45w  + .45 l = 1l

.45 w = 1l - .45l

.45 w = .55l

w = .55l / .45

w =11/9 l

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2 years ago
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
iren [92.7K]

Answer:

Step-by-step explanation:

The area of a sector has the formula

A_s=\frac{\theta}{360}*\pi r^2 Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:

A_s=\frac{75}{360}*(3.14)(4)^2 and simplifying that a bit to look less threatening, but not by much:

A_s=\frac{5}{24}(3.14)(16) and

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8 0
3 years ago
Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75
Lady_Fox [76]

Answer:

75 + 45 = 15(3 + 5)

Step-by-step explanation:

Given

75 + 45 <em>-- Corrected</em>

Required

Use the GCF to write it as a distributive property

First, we find the GCF of 75 and 45

45 = 3 * 3 * 5

75 = 3 * 5 * 5

The common factor is:

GCF = 3 * 5

GCF = 15

So, 75 + 45 becomes

75 + 45 = 15 * 3 + 15 * 5

Factorize

75 + 45 = 15(3 + 5)

<em>Hence, the sum has been rewritten as </em>15(3 + 5)<em></em>

5 0
3 years ago
Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $30
Nonamiya [84]

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

I = \dfrac{P \times R \times T}{100}

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

brainly.com/question/5319581

5 0
2 years ago
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