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hoa [83]
3 years ago
9

I need help figuring this out (#9)

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

there are 60 minutes in 1 hr.

every 10 minutes the factory makes 15 bears.

so 10+10+10+10+10+10 is 1 hr, and is really 15+15+15+15+15+15 bears, namely 90 per hour.

every day, the factory does that for 8 hours straight, so namely they make 90 * 8 teddy bears, or 720 per day.

let's make a table of bears per day

1 day............................... 720(1)

2 days............................ 720(2)

3 days............................ 720(3)

4 days............................ 720(4)

x days............................ 720(x)

so the amount of bears they make say "A" is per day is A = 720x.

what would be the fewest days to make 5000?

well, whatever 720x is, it has to be either 5000 exactly OR more, not less, then

5000 ⩽ 720x.

and dividing both sides by 720 we get about 6.94 ⩽ x.

so we can conclude that whole days, it'll be 7, since 6.94 is about 7 days, but rounded up to whole days it'll be 7 days.

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Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a s
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We are given dimensions of rectangular bedroom = length of 5m and width 3 m.

Also scale drawing of factor 1/50 of the original dimension.

In order to find the dimensions of scale drawing, we need to multiply scale factor by each dimension.

Therefore, length of the scale drawing is 5 * 1/50 = 1/10 m and

Let us convert it in centimeter now.

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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
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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

#SPJ4

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