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3 years ago

What is the answer to 1/7(x+3/4)=1/8

Mathematics

1 answer:

ivolga24 [154]3 years ago

3 0

Answer:

Step-by-step explanation:

1/7(x+3/4) = 1/8

Multiply 1/7 with x and 3/4

1/7x + 3/28 = 1/8

Multiply everything by 7, so x is a whole number

x + 21/28 = 7/8

Convert 21/28 into a similar like denominator to 7/8

x + 6/8 = 7/8

x = 7/8 -6/8

x = 1/8

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A taxi charges a flat fee of $5.00 plus $2.25 per mile. How much will it cost to travel 8.7 miles? Round your answer to the near

vampirchik [111]

Answer:

$19.58+$5.00 = $24.58

Step-by-step explanation:

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3 years ago

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Can someone pls help me find what is 1/10+12/20?

irga5000 [103]

Answer:

$\frac{7}{10}$

Step-by-step explanation:

$\frac{1}{10}$ can also be written as $\frac{2}{20}$

$\frac{2}{20} +\frac{12}{20} =\frac{14}{20}$

Simply to $\frac{7}{10}$

-OTHER METHOD-

$\frac{12}{20}$ can be simplified to $\frac{6}{10}$

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3 years ago

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What is 5x + 12 < 2 ?

Masja [62]

Answer:

x < -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5x + 12 < 2

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10
[Division Property of Equality] Divide 5 on both sides: x < -2

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What is the measure of angle R?

Alika [10]

Answer:

m<R = 22.62°

Step-by-step explanation:

Reference angle = R

Opposite = 5 cm

Hypotenuse = 13 cm

Apply the trigonometric function SOH:

Sin R = Opp/Hyp

$Sin (R) = \frac{5}{13}$

$R = sin^{-1}(\frac{5}{13})$

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m<R = 22.62° (nearest hundredth)

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2 years ago

A tree 10 meters high casts a 17.3 meter shadow.

sashaice [31]

Answer:

the angle of elevation of the sun is $\approx 30^o$

Step-by-step explanation:

Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.

Notice that our unknown is the angle $\theta$ , and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because:

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