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geniusboy [140]

3 years ago

7

Factor 28 + 56t + 28w to identify the equivalent expressions. Choose 2 answers

2 answers:

stiv31 [10]3 years ago

6 0

Answer: B and D are the answers

ra1l [238]3 years ago

3 0

Answer:

$28+56t+28w=14(2+4t+2w)\\\\28+56t+28w=28(1+2t+w)$

Step-by-step explanation:

$28+56t+28w=14\times 2+14\times 4t+14\times 2w\\\\14\ is\ common\ in\ every\ term\\\\28+56t+28w=14(2+4t+2w).........................................(1)\\\\Now\ take\ 2+4t+2w\\\\2+4t+2w=2+2\times 2t+2w\\\\2\ is\ common\\\\2+4t+2w=2(1+2t+1)\\\\Now\ substitute\ this\ in\ equation\ 1\\\\28+56t+28w=14\times 2(1+2t+w)\\\\28+56t+28w==28(1+2t+w)$

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Whats 4 divided by 10

Mrac [35]

$\frac{4}{10} = \frac{2}{5} = 0.4$

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Ber [7]

$\bold{\huge{\blue{\underline{ Solution}}}}$

$\bold{\underline{ We \: have \:given \: that, }}$

<u>Distance </u><u>between </u><u>the </u><u>house </u><u>and </u><u>tower </u><u>is </u><u>3</u><u>5</u><u> </u><u>m</u>
<u>The </u><u>height </u><u>of </u><u>the </u><u>tower </u><u>is </u><u>6</u><u>0</u><u> </u><u>m </u>
<u>The </u><u>height </u><u>of </u><u>the </u><u>house </u><u>is </u><u>2</u><u>5</u><u> </u><u>m</u>

$\bold{\underline{ Now}}$

<u> </u><u>Height</u><u> </u><u>of </u><u>the </u><u>house </u><u>is</u><u> </u><u>2</u><u>5</u><u>m</u>

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

<u>Therefore</u><u>, </u>

$\sf{ AB = AD - CE }$

$\sf{ AB = 60 - 25 }$

$\sf{ AB = 35 m }$

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2 years ago

4. k/6 = 8/16 5. 5.4/7 = 27/h 6. 8/11 = 4/y+2

kupik [55]

Answer:

4. $k=3\\$

5. $h=35$

6. $\frac{7}{2}$ or 3.5

Step-by-step explanation:

$\frac{k}{6}=\frac{8}{16}$

Multiply those 2 values whose diagonal has both terms and divide by the term whose diagonal has the variable.

$k=\frac{8*6}{16}\\ k=\frac{48}{16}\\ k=3$

-----------------------------------------------------------------------

$\frac{5.4}{7}=\frac{27}{h}$

$h=\frac{7*27}{5.4} \\h=\frac{189}{5.4}\\ h=35$

-------------------------------------------------------------------------

$\frac{8}{11}=\frac{4}{y+2}$

$y+2=\frac{11*4}{8}\\ y=\frac{11*4}{8}-2\\y=\frac{44}{8}-2 \\y=\frac{11}{2}-2\\ y=\frac{11-2*2}{2}\\ y=\frac{11-4}{2}\\ y=\frac{7}{2}=3.5$

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2 years ago

A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4centimeters.

Svetllana [295]

Answer:

16.25 cubic cm

Step-by-step explanation:

The volume of a prism is found using V = l*w*h. Here l = 1.25, w = 4 and h = 3.25. Substitute and simplify.

V = 1.25(4)(3.25)

V = 16.25

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yanalaym [24]

Here is how to work the problems and write the expressions.

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