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4 years ago

Solve for x: 4(2x − 1) = 2x + 35

Mathematics

2 answers:

PilotLPTM [1.2K]4 years ago

7 0

X = 13/2 or 6 1/2. Hope this helps!

spayn [35]4 years ago

5 0

<span>4(2x − 1) = 2x + 35
4*2x=8x
4*-1=-4
8x-4=2x+35
-2x from both sides
6x-4=35
+4 on both sides
6x=39
divide by 6 on both sides
x=6.5
^^^is your answer</span>

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Three classes have the same number of students. The teachers compared attendance on one Friday. Mr. Lopez had 92.5% of his stude

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Suppose the number of students in one of the classes is :

$x$

So ;

$Mr.Lopez \: \: had \: \: \frac{92.5}{100}x \\$

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$Mrs.Foster \: \: had \: \: \frac{19}{20} x \\$

So :

$Mrs.Foster \: \: had \: \: \frac{19 \times 5}{20 \times 5} x \\$

$Mrs.Foster \: \: had \: \: \frac{95}{100}x \\$

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$Ms.Kelly \: \: had \: \: 0.9x$

$Ms.Kelly \: \: had \: \: \frac{9}{10} x \\$

$Ms.Kelly \: \: had \: \: \frac{90}{100} x \\$

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Compare :

$\frac{95}{100} x > \frac{92.5}{100} x > \frac{90}{100} x \\$

Thus :

$Mrs.Foster’s \: \: class \: > \: Mr.Lopez’s \: \: class \: > \: Ms.Kelly’s \: \: class \\$

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3 years ago

A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that

olganol [36]

The volume of the removed portion is 35 cm³.

Step-by-step explanation:

Given,

The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm

The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm

To find the volume of the removed portion.

Formula

The volume of the removed portion = volume of outer part - volume of inner part

Volume of rectangular prism = l×b×h

Now,

Volume of outer part = 3×3×7 cm³ = 63 cm³

Volume of inner part = 2×2×7 cm³ = 28 cm³

Hence,

The volume of the removed portion = 63-28 cm³ = 35 cm³

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3 years ago

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andrew-mc [135]

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a₁₅ = x

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Note that from a₅ to a₁₀, there is a addition of 10. This means that for every x(₅) jump, you add 10 to the whole number.

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So in this case:

a₁₀ = 20

a₁₅ = x

a₁₀ (+₅) = 20 (+10)

a₁₅ = 20 + 10

a₁₅ = 30

Note that: a₁₅ = x = 30

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x = 30, or (A) is your answer

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Therefore, they were 45 miles apart after 3 hours.

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3 years ago