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3 years ago

Emily can arrange 20 vases of flowers in 6 hours. Find Emily's rate per hour for arranging

Mathematics

1 answer:

Sergio [31]3 years ago

6 0

Answer:

$3 \frac{1}{3}$ vases per hour

Step-by-step explanation:

To find the unit rate, solve the total amount of vases that Emily arranged divided by the amount of time that Emily took to arrange the vases.

Or, in other words, solve 20 ÷ 6, since Emily arranged 20 vases and it took her 6 hours to complete it.

You can do this by hand or you can do it on a calculator.

After you solved it, you should get $3 \frac{1}{3}$ , or 3.33333...

So, Emily's rate is $3 \frac{1}{3}$ vases per hour.

<h2><u><em>Please mark as Brainliest!!!</em></u></h2>

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If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.<br> 10<br> 15<br> 34<br> 20

Debora [2.8K]

Answer:

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

12 + 15 = 7

27 = 7

27 - 7

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2 years ago

Read 2 more answers

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Keith_Richards [23]

So x is John's age.
We can solve this problem by working backwards.
Since it's 5 times his age, we first do 5x.
And then since it's five less, we move on to 5x - 5
And then we add the John's age is increased by 11: 5x - 5 = x + 11
I hope this helped :)
(It should be the second one you listed)

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2 years ago

Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!

Mila [183]

Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

$\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}$

By substituting the measures of the given sides,

$\frac{4}{2}=\frac{6}{3}=\frac{2}{1}$

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

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3 years ago

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horsena [70]

Okay, so the equation for the y-intercept is y=mx+b, this will be your base for graphing anything.

For y = x + 3 it's basically y = 1x + 3. Use b as the y-intercept, or 3, and plot it as (x,y), (0,3). Then use m as the slope, or 1. 1 means positive one so the point goes (0,3), (1, 4), (2, 5).

For y = -3x - 1 it's the same thing but different numbers. Use b, the y-intercept, and plot it. -1 is b, so plot (0,-1). Then use the slope to go up or down the direction you need to go, or m. m is -3, so for every +1 in x, the y will decrease by 3. (0,-1), (0,-4), (0,-7).

I hope this helped in some way or increased your understanding!

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1 year ago

Use mathematical induction to show that 4^n ≡ 3n+1 (mod 9) for all n equal to or greater than 0

cestrela7 [59]

When $n=0$ , you have

$4^0=1\equiv3(0)+1=1\mod9$

Now assume this is true for $n=k$ , i.e.

$4^k\equiv3k+1\mod9$

and under this hypothesis show that it's also true for $n=k+1$ . You have

$4^k\equiv3k+1\mod9$
$4\equiv4\mod9$
$\implies 4\times4^k\equiv4(3k+1)\mod9$
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In other words, there exists $M$ such that

$4^{k+1}=9M+12k+4$

Rewriting, you have

$4^{k+1}=9M+9k+3k+4$
$4^{k+1}=9(M+k)+3k+3+1$
$4^{k+1}=9(M+k)+3(k+1)+1$

and this is equivalent to $3(k+1)+1$ modulo 9, as desired.

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3 years ago