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Virty [35]
3 years ago
9

Solve the literal equation of the given variable (picture is included below)

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0

Answer:

10) y = 2x + 7

11) x = \frac{y}{7z}

Step-by-step explanation:

To solve the literal equation, you need to isolate the variable you are solving for.

10)

x = \frac{y-7}{2}

multiply by 2:

2x = y - 7

add 7:

2x + 7 = y

y = 2x + 7

11)

y = 7xz

divide by 7:

\frac{y}{7} = xz

divide by z:

\frac{y}{7z} = x

x = \frac{y}{7z}

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COMPUTE<br><br> 3 ( 2 1/2 - 1 ) + 3/10
Juli2301 [7.4K]

Answer:

<h3>\boxed{ \frac{24}{5} }</h3>

Step-by-step explanation:

\mathsf{3(2 \frac{1}{2}  - 1) +  \frac{3}{10} }

Convert mixed number to improper fraction

\mathrm{3( \frac{5}{2}  - 1) +  \frac{3}{10} }

Calculate the difference

⇒\mathrm{3( \frac{5 \times 1}{2 \times 1} -  \frac{1 \times 2}{1 \times 2}  }) +  \frac{3}{10}

⇒\mathrm{ 3 \times( \frac{5}{2}  -  \frac{2}{2}) } +  \frac{3}{10}

⇒\mathrm{3 \times ( \frac{5 - 2}{2} ) +  \frac{3}{10} }

⇒\mathrm{3 \times  \frac{3}{2}  +  \frac{3}{10} }

Calculate the product

⇒\mathrm{ \frac{3 \times 3}{1 \times 2}  +  \frac{3}{10} }

⇒\mathrm{ \frac{9}{2}  +  \frac{3}{10}}

Add the fractions

⇒\mathsf{ \frac{9  \times 5}{2 \times 5}  +  \frac{3 \times 1}{10 \times 1} }

⇒\mathrm{ \frac{45}{10}  +  \frac{3}{10} }

⇒\mathrm{ \frac{45 + 3}{10 } }

⇒\mathrm{ \frac{48}{10} }

Reduce the numerator and denominator by 2

⇒\mathrm{ \frac{24}{5} }

Further more explanation:

<u>Addition </u><u>and </u><u>Subtraction</u><u> </u><u>of </u><u>like </u><u>fractions</u>

While performing the addition and subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.

For example :

Add : \mathsf{ \frac{1}{5}  +  \frac{3}{5}  =  \frac{1 + 3}{5} } =  \frac{4}{5}

Subtract : \mathsf{ \frac{5}{7}  -  \frac{4}{7}  =  \frac{5 - 4}{7}  =  \frac{3}{7} }

So, sum of like fractions : \mathsf{ =  \frac{sum \: of \: their \: number}{common \: denominator} }

Difference of like fractions : \mathsf{ \frac{difference \: of \: their \: numerator}{common \: denominator} }

<u>Addition </u><u>and </u><u>subtraction</u><u> </u><u>of </u><u>unlike </u><u>fractions</u>

While performing the addition and subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator.

For example:

\mathsf{add \:  \frac{1}{2}  \: and \:  \frac{1}{3} }

L.C.M of 2 and 3 = 6

So, ⇒\mathsf{ \frac{1 \times 3}{2 \times 3}  +  \frac{1 \times 2}{3 \times 2} }

⇒\mathsf{ \frac{3}{6}  +  \frac{2}{6} }

⇒\frac{5}{6}

Multiplication of fractions

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

When any number or fraction is divided by a fraction, we multiply the dividend by reciprocal of the divisor. Let's consider a multiplication of a whole number by a fraction:

\mathsf{4 \times  \frac{3}{2}  =  \frac{4 \times 3}{2}  =  \frac{12}{2}  = 6}

Multiplication for \mathsf{ \frac{6}{5}  \: and \:  \frac{25}{3} } is done by the similar process

\mathsf{ =  \frac{6}{5}  \times  \frac{25}{3}  = 2 \times 5 \times 10}

Hope I helped!

Best regards!

5 0
3 years ago
Question 3 of 10
AlladinOne [14]

Answer:

The answer is 71 degrees

Step-by-step explanation:

4 0
3 years ago
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If the slope of the linear function y=-2x-4 was changed to 3, what would the new equation be? *
olga nikolaevna [1]

Answer:

b

Step-by-step explanation:

-2 is the slope so change -2 to 3

6 0
3 years ago
An area of a wall is 50 in. wide and 35 in. high. Will a mirror with a 62 in. diagonal fit in it? Identify the correct explanati
Lubov Fominskaja [6]

Answer:

yes

Step-by-step explanation:

i used the pythagorean theorem and used 50 and 35 as the legs and the diagonal as the hypotenuse

35² + 50² = c²

c² = 3725

c = \sqrt{3725}, which is 61.03

since 61.03 is less than 62" then it should fit in

4 0
3 years ago
Read 2 more answers
An algebra class has 21 students who all participate in a welcome activity introducing themselves to each other in pairs. One st
Nuetrik [128]

The handshake is an illustration of combination, and the values of n and r are 21 and 2, respectively

<h3>How to determine the values of n and r?</h3>

The number of students in the class is 21.

This represents the value of n

i.e. n = 21

Each student shakes hand with another student (i.e. 2 students per handshake)

This represents the value of r

i.e. r = 2

Hence, the values of n and r are 21 and 2, respectively

Read more about combination at:

brainly.com/question/11732255

#SPJ1

3 0
2 years ago
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