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Lerok [7]
3 years ago
5

Solve 4/9x+7=1/2. Solve 1/8x−12=3/4.

Mathematics
2 answers:
Elenna [48]3 years ago
4 0
\# 1 \\\\ \frac{4}{9}x+7=\frac{1}{2} \\\\ \frac{4x}{9}=\frac{1}{2}-7^{(2} \\\\ \frac{4x}{9}=\frac{1-14}{2} \\\\ \frac{4x}{9}=-\frac{13}{2} \\\\ 4x=-\frac{9*13}{2} \\\\ x=-\frac{\frac{9*13}{2}}{4} \\\\ x=-\frac{117}{2}*\frac{1}{4} \\\\ \boxed{x=-\frac{117}{8}=-14\frac{5}{8}}

\#2 \\\\ \frac{1}{8}x-12=\frac{3}{4} \\\\ \frac{1}{8}x=\frac{3}{4}+12^{(4} \\\\ \frac{x}{8}=\frac{3+48}{4} \\\\ \frac{x}{8}=\frac{51}{4} \\\\ x=\frac{\not8*51}{\not4} \\\\ x=2*51 \\\\ \boxed{x=102}
borishaifa [10]3 years ago
4 0
1. 4/9x+7=1/2
          -7   -7

4/9x= -6.5
4x=-58.5 (now divide by 4)
x=-14.625



2. 1/8x-12=3/4
          +12 +12

1/8x=12.75
    x=102 (now divide by 1/8 to both sides)
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3 years ago
Jane moved from a house with 66 square feet of closet space to an apartment with 34.98 square feet of closet space. What is the
Kryger [21]

There is a 47% decrease in Jane's closet space.

Step-by-step explanation:

Old measurement of closet = 66 square feet

New measurement of closet = 34.98 square feet

Change = New value - Old value

Change = 34.98 - 66 = -31.02 square feet

The negative sign indicates the decrease.

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There is a 47% decrease in Jane's closet space.

Keywords: decrease, percentage

Learn more about percentages at:

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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
3 years ago
Read 2 more answers
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