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3 years ago

Write the equivalent expression for 6x + 5y + 7x

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

I'm pretty sure it is d, you are combining the terms which is the same thing.

Liula [17]3 years ago

5 0

Answer:

$D. 13x + 5y$

Step-by-step explanation:

The first step is to determine if some of the terms can be combined (added), so you have to look for like terms (like terms have the same variables with the same exponent).

We have the expression:

$6x + 5y + 7x$

We can see that there are two elements that contain x ( $6x$ and $7x$ ) , this means that they are like terms and we can add them:

$(6x+7x)+5y$

⇒ $13x+5y$

and this would be the final result, since there are no more like terms in this expression. The answer is D. $13x + 5y$

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A certain natural number is not divisible by 7. Can it be divisible by 14, explain why or why not

Elanso [62]

For a number to be divisible by 14 it needs to be both divisible by 7 and 2 which are factors of 14. Every time you have a number (x) to check if it is divisible by some larger number you find the factor of that larger number and check is the x divisible by both.

Answer: it cannot be divisible by 14.

3 0

4 years ago

tammy typed 40 pages of a report on Monday and 3/8 of the report on Tuesday. She completed the remaining 1/3 of the report on We

sergeinik [125]

Answer:

Step-by-step explanation:

R = report length

R = 40 + (3/8)R + (1/3)R

3/8 = 3*3/8*3 = 9/24

1/3 = 8*1 / 3*8 = 8/34

R = 40 + (9/24)R + (8/24)R

R = 40 + (17/24)R Subtract 17/24 from the left

R-17/24 R = 40

7/24 R = 40 Multiply both sides by 24

7R = 40 * 24

7R = 960 Divide by 7

R = 960/7

R = 137.1 which breaks the rounding rule and becomes 138 because something has to be typed on page 138

6 0

4 years ago

What is the value of x in the equation three-fourths (one-fourth x 8) minus (one-half x 2) = startfraction 3 over 8 endfraction

Oksi-84 [34.3K]

The value of x in the equation is x=-44.

The given equation is $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ .

An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.

Firstly, apply the distributive property as a(b+c)=ab+ac and get

$\begin{aligned}\frac{3}{4}\times \frac{1}{4}x+\frac{3}{4}\times 8-\frac{1}{2}x-2&=\frac{3}{8}\times 4-\frac{3}{8}\times x-\frac{1}{4}\\ \frac{3x}{16}+6-\frac{x}{2}-2&=\frac{3}{2}-\frac{3x}{8}-\frac{1}{4} \end$

Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as

$\frac{3x}{16}-\frac{x}{2}+\frac{3x}{8}=\frac{3}{2}-\frac{1}{4}-6+2$

Further, simplify the above expression by taking L.C.M as

$\begin{aligned}\frac{3x-8x+6x}{16}&=\frac{6-1}{4}-4\\ \frac{x}{16}&=\frac{5-16}{4}\\ \frac{x}{16}&=\frac{-11}{4}\end$

Then, multiply both sides with 4 and get

$\begin{aligned}4\times \frac{x}{16}&=4\times \frac{-11}{4}\\ \frac{x}{4}&=\frac{-11}{1}\end$

Furthermore, cross multiply both sides and get

$x=-44$

Hence, the value of x in the equation which is given $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ is x=-44.

Learn about algebraic expression from here brainly.com/question/8690932

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2 years ago

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irina1246 [14]

Answer is D) 10x + 4

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3 years ago

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Anna11 [10]

Answer:

Step-by-step explanation:

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4 years ago