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Mandarinka [93]

4 years ago

9

Asian began painting his house on Monday He work 5 hrs. longer on Tuesday than he work on Monday. On Wednesday he worked 4 hrs.

less than Tuesday. on Thursday he pained 6 hrs more than Wednesday. He painted 11 hrs on Thursday. How long did he paint on Monday?

2 answers:

jek_recluse [69]4 years ago

8 0

He worked 4 hours on monday.

sergeinik [125]4 years ago

6 0

The answer is either 9 or 4 hours on Monday. Hope this helps!

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Sunny_sXe [5.5K]

This is how you solve it and the at the bottom is the prime fractorization.

5 0

4 years ago

M is the Midpoint of segment PQ. If PQ = 30 and PM = 3x, find the VALUE OF X<br>

denis23 [38]

Answer:

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7 0

3 years ago

Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon,

Troyanec [42]

Answer:

A. $Ratio = 3:1$

B. $Ratio= 9:3$

Step-by-step explanation:

Given

$Ratio= 27:9$

Required

Determine equivalent ratios:

$Ratio= 27:9$

First, we simplify the ratio to the least possible

$Ratio = 27/9:9/9$

$Ratio = 3:1$

By comparison with the given options, we have A and B as answer.

See Proof Below

Proof: A

Compare this to the simplified ratio (given), we have:

$Ratio = 3:1$ = $Ratio = 3:1$

Proof B

$Ratio= 9:3$

Simplify the ratio to the least possible

$Ratio= 9/3:3/3$

$Ratio= 3:1$

Compare this to the simplified ratio (given), we have:

$Ratio = 3:1$ = $Ratio = 3:1$

7 0

4 years ago

The dimensions of a rectangular garden were 4m by 5m. Each dimension was increased by the same amount the garden then had an are

pogonyaev

The dimension of new garden is 7 meter by 8 meter

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

The dimensions of a rectangular garden were 4m by 5m

Length = 4 m

Width = 5 m

Each dimension was increased by the same amount the garden then had an area of 56 square meter

Let "x" be the amount of increase

Then,

Length = 4 + x

Width = 5 + x

Also, given that,

New area = 56 square meter

<em><u>The area of rectangle is given as:</u></em>

$Area = length \times width$

<em><u>Substituting the values we get,</u></em>

$56 = (4+x)(5+x)\\\\56 = 20 + 4x + 5x + x^2\\\\x^2 + 9x + 20 - 56 = 0\\\\x^2 + 9x -36=0$

<em><u>Let us solve the above equation by quadratic formula</u></em>

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

<em><u>Using the above formula,</u></em>

$\text{For } x^2+9x-36 \text{ we get , }$

a = 1 and b = 9 and c = -36

<em><u>Substituting the values of a = 1 ; b = 9 ; c = -36 in above quadratic formula we get,</u></em>

$x = \frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-36\right)}}{2\cdot \:1}\\\\x = \frac{-9\pm \sqrt{81+144}}{2}\\\\x = \frac{-9 \pm 15}{2}$

<em><u>We get two solutions,</u></em>

$x = \frac{-9+15}{2} \text{ or } x = \frac{-9-15}{2}\\\\x = 3 \text{ or } x = -12$

Since dimension cannot be negative, ignore x = -12

Thus solution is x = 3

Length = 4 + x = 4 + 3 = 7

Width = 5 + x = 5 + 3 = 8

Thus dimension of new garden is 7 meter by 8 meter

5 0

3 years ago

In an animal shelter, the ratio of cats to dogs is 3 to 5. If there are a total of 120 animals at the shelter, how many cats do

Firdavs [7]

Answer:

B) 45 cats

Step-by-step explanation:

3/(3+5) = 3/8

3/8 of the animals are cats

3/8 × 120

45

6 0

4 years ago

Read 2 more answers