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2 years ago

11

Solve for the unknown. Rewrite each phrase as a multiplication sentence. Circle the scaling factor and put a box around the numb

er of meters.
a. 1/2 as long as 8 meters = ______ meter(s)
b. 8 times as long as 1/2 meter = _______ meter(s)

1 answer:

skad [1K]2 years ago

6 0

I hope this helps, i got it from a cheat sheet online

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The sum of the digits of a two-digit number is 5. When the digits are reversed, the number increases by 27. Find the original nu

gavmur [86]

Answer:

<h2>14</h2>

Step-by-step explanation:

$a-\text{tens digit}\\b-\text{unity digit}\\10a+b-\text{number}\\10b+a-\text{number with reversed digits}\\a+b-\text{sum of digits}\\\\\bold{System\ of\ equations:}\\\\\left\{\begin{array}{ccc}a+b=5\\10b+a=10a+b+27&\text{subtract}\ 10a\ \text{and}\ b\ \text{from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}a+b=5\\9b-9a=27&\text{divide both sides by 9}\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}a+b=5\\b-a=3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2b=8\qquad\text{divide both sides by 2}\\.\qquad \boxed{b=4}\\\\\text{Put the value of\ b}\ \text{to the first equation}\\\\a+4=5\qquad\text{subtract 4 from both sides}\\\boxed{a=1}$

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3 years ago

Classify the triangle.<br> obtuse<br> equiangular<br> right<br> acute

valina [46]

Answer:

right the box in the corner means it's a 90 degree angle or a right angle

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2 years ago

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State the property that justifies the statement

cluponka [151]

Answer:

A. Subtraction Property of Equality

Step-by-step explanation:

3x + 4 = 10

Subtract 4 from both sides ---->Subtraction Property of Equality

3x + 4 - 4 = 10 - 4

3x = 6

So

If 3x + 4 = 10, then 3x = 6

Answer

A. Subtraction Property of Equality

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3 years ago

Elisa bought 5 bracelets for a total of $25.95. If the bracelets were the same cost, about how much did each bracelet cost?

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Answer:

Step-by-step explanation:

To find out what each bracelet costed, you have to divide the total amount spent by how many bracelets were purchased.

25.95 ÷ 5 = 5.19

In conclusion, each bracelet cost $5.19. :)

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2 years ago

The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

lbvjy [14]

$\bf ~\hspace{10em}\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 8x^3-125~~ \begin{cases} 8=2\cdot 2\cdot 2\\ \qquad 2^3\\ 125=5\cdot 5\cdot 5\\ \qquad 5^3 \end{cases}\implies 2^3x^3-5^3\implies (2x)^3-5^3 \\[2em] [2x-5][(2x)^2+(2x)(5)+5^2]\implies (2x-5)(\stackrel{\stackrel{j}{\downarrow }}{4}x^2+\stackrel{\stackrel{k}{\downarrow }}{10}x+25)$

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3 years ago