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Semmy [17]
3 years ago
7

Which sequence of transformations will map figure H onto figure H′?

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0

<em>right \: answer \: is \: of \: option \: b \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps</em>

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Ben jogged 4 and 1/2 miles in 1 and 1/4 hours at a constant rate. How far did Ben jog in one hour? *
Mrac [35]

let's firstly convert the mixed fractions to improper fractions and then proceed.

\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill

\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x

7 0
3 years ago
At the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210
nevsk [136]

Answer:

Initial number of trees were 204.

Step-by-step explanation:

555 must be a typo error. The question will not produce correct answer. I worked out with 55 but the answer is wrong. So, the number is 5.

Lets say MacDonald removed 5 orange trees from his farm.

Let t be the initial number of trees

After removing 5 trees, the remaining left are t-5 trees

As given - Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. This means

(t-5)210= 41790

Solving for t:

210t-1050=41790

210t=41790+1050

210t=42840

t = 204

So, initial number of trees were 204.

We can check this : 204-5=199

199\times210=41790

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

Working with 55 we get the wrong answer:

(t-55)210=41790

210t-11550=41790

210t=30240

t = 144

We can check this : 144-5=139

139\times210=29190  (wrong)

8 0
4 years ago
Choose the equation that represents the graph below: (1 point)
nata0808 [166]
It would be A. <span>y = −2x − 4.
Hope this helps!!
</span>
4 0
4 years ago
In "The Wheel of Woohoo" game, I'm taking a chance on
xeze [42]

Answer:

50-50 chance

Step-by-step explanation:

Even: 2 4 6 8 10 12 14 16 18 20

Odd: 1 3 5 7 9 11 13 15 17 19 21

8 0
3 years ago
Read 2 more answers
The conversion of square feet to square yards can be represented by direct variation. Three square yards are
grandymaker [24]
<h3>The constant of variation is \frac{1}{9}</h3><h3>The equation is y=\frac{1}{9}x</h3>

<em><u>Solution:</u></em>

Given that,

The conversion of square feet to square yards can be represented by direct variation

Let y represent the number of square yards

Let x be the number of square feet

y \propto x

y = kx ------ eqn 1

Where, "k" is the constant of variation

Three square yards are  equivalent to 27 square feet

Substitute, y = 3 and x = 27 in eqn 1

3 = k \times 27\\\\k = \frac{3}{27}\\\\k = \frac{1}{9}

Thus the constant of variation is \frac{1}{9}

<em><u>What is the equation representing the direct variation?</u></em>

Substitute k = 1/9 in eqn 1

y = \frac{1}{9}x

Thus the equation is found

4 0
4 years ago
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