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anastassius [24]
3 years ago
9

Solve for f: 6f + 9g = 3g + f

Mathematics
2 answers:
lozanna [386]3 years ago
6 0
Hi there!

Let's solve this equation step by step!
6f + 9g = 3g + f

To solve for f, we need to bring all the terms in the equation with an f in it to the left, and all the other terms (with a g) to the right.

First subtract f from both sides.
5f + 9g = 3g

Now subtract 9g from both sides.
5f = -6g

And finally divide both sides by 5.
f = (-6/5)g

Hence, your answer;
f =  -  \frac{6}{5} g

~ Hope this helps you!
viva [34]3 years ago
5 0
Hi there!

• 6f + 9g = 3g + f

To solve for " f ". bring all th' like term together in the Eqn.

6f - f = 3g - 9g

5f = -6g

f = \dfrac {-6}{5} g

~ Hope it helps!
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Express the shaded area as a fraction, a decimal, and a percent of the whole.​<br> please help me
ryzh [129]

Answer:

Fraction: 98/100 or 49/50

Decimal: 0.98

Percent: 98%

Step-by-step explanation:

The square has 10 blocks by 10 blocks. That means it has 100 blocks in total. That would mean one whole. The shaded area is the part of the whole.

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4 years ago
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Which statement is true about the angles?
liq [111]

Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

m<B = (5x)°

m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

B. m<B = 60°

C. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

Divide both sides by 18

\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

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3 years ago
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A semicircle is cut out of a rectangular paperboard 27in long and 20in wide, as shown below. What is the perimeter of the paperb
guapka [62]
<span>A semicircle is cut out of a rectangular paperboard 27 long and 20in wide, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed</span>
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Allushta [10]

Answer:

the last answer... i hope this helps

Step-by-step explanation:

6 0
3 years ago
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1. The perimeter of a piece of paper is 18 cm.
OlgaM077 [116]

Answer:

a) length = 3 and width = 6

Area of the rectangle = 3 × 6 = 18 cm²

b)  length = 7 and width = 2

Area of the rectangle = 7 × 2 = 14 cm²

c)  length = 5 and width = 4

Area of the rectangle = 5× 4 = 20 cm²

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given perimeter of the paper = 18 cm

we know that the paper has a rectangle shape

The perimeter of the rectangle = 18 cm

 2( l + w ) = 18

a)

we choose length = 3 and width = 6

The perimeter of the rectangle = 2( 3+6) = 18 cm

Area of the rectangle = 3 × 6 = 18 cm²

b)

we choose length = 7 and width = 2

The perimeter of the rectangle = 2( 7+2) = 18 cm

Area of the rectangle = 7 × 2 = 14 cm²

c)

we choose length = 5 and width = 4

The perimeter of the rectangle = 2( 5+4) = 18 cm

Area of the rectangle = 5× 4 = 20 cm²

3 0
3 years ago
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