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3 years ago

13

STEPHANIE OPENED HER BOOK AND FOUND THAT THE PRODUCT OF THE PAGE NUMBER FOR TWO FACING PAGES WAS 3,906. WHAT WERE THE PAGE NUMBE

R

1 answer:

viktelen [127]3 years ago

6 0

63 and 62.

63*62 = 3906

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A research team aboard an underwater research vessel descends 1,500 feet beneath the surface of the water. They then rise 525 fe

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-1,325 ft below sea level

Step-by-step explanation:

0(surface level) - 1,500 = -1,500

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-975 - 350 = -1,325

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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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3 years ago

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is<br> the value of x?

Nikitich [7]

9514 1404 393

Answer:

C. 82

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. So ...

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x = 82°

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3 years ago