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Orlov [11]
3 years ago
6

I can't figure this out :( Help!!!

rac%7B1%7D%7B4%7D%20w%20%2B%2010" id="TexFormula1" title="3 \frac{1}{2} w + 8 = 3 \frac{1}{4} w + 10" alt="3 \frac{1}{2} w + 8 = 3 \frac{1}{4} w + 10" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0

let's first off, convert the mixed fractions to improper fractions, and then, let's multiply both sides by the LCD, notice, the LCD will be hmmmm 4, so we'll multiply both sides by 4, to do away with the denominators.


\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{7}{2}w+8=\cfrac{13}{4}w+10\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{4}}{4\left( \cfrac{7}{2}w+8 \right)=4\left( \cfrac{13}{4}w+10 \right)}
\\\\\\
14w+32=13w+40\implies w=40-32\implies \boxed{w=8}

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3 years ago
A boat took 5 h to travel 60 km up a river, against the current. The return trip took 3 h. Find the speed of the boat in still w
Dafna11 [192]

Answer:

Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h

Step-by-step explanation:

If we take speed (velocity) of the boat as V₁ and speed of the current V₂

Let us form equations:

Traveling down the current  V₁ + V₂ = 60/3 = 20 km/h

Traveling against the current  V₁ - V₂ = 60/5 = 12 km/h

V₁ - V₂ = 12

V₁ + V₂ = 20

If we add up the left and right sides of the equations we get:

2 V₁ = 32  =>    V₁ = 32/2 = 16 km/h

from the second equation we get:

V₂ = 20 - V₁ = 20 - 16 = 4 km/h

V₂ = 4 km/h

God is with you!!!

8 0
3 years ago
A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass
Vaselesa [24]

Answer:

<h3>The answer is 68,486.58 g</h3>

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

<h3>mass = Density × volume</h3>

From the question

volume of granite monument =

25,365.4 cm³

density = 2.7 g/cm³

The mass of the granite monument is

mass = 25,365.4 × 2.7

We have the final answer as

<h3>68,486.58 g</h3>

Hope this helps you

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Answer:

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2,000 people tested the new shampoo.

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garik1379 [7]

Answer:

3:4 is a ratio

Step-by-step explanation:

so every 3 cats their are 4 dogs ect

3 0
4 years ago
Read 2 more answers
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