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3 years ago

Please help me solve this problem

Mathematics

2 answers:

Stells [14]3 years ago

5 0

Answer:

$180

Step-by-step explanation:

To solve, we can set up a proportion and solve.

You earn $45 for 7.5 hours of work, and you earn $ x for 30 hours of work

45/7.5=x/30

Cross multiply

45*30=7.5*x

1350=7.5x

To solve for x, we need to get x by itself. It is being multiplied by 7.5. To undo this, divide both sides by 7.5

1350/7.5=7.5x/7.5

180=x

So, for 30 hours of work, you would earn $180

Artyom0805 [142]3 years ago

5 0

Answer:

$180

Explanation:

Hours x rate (k) = amount paid
7.5 x k = 45
Divide to get k = 6
30 x 6 = 180

Hope this helps!

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If a translation maps ∠D onto ∠B, which of the following statements is true? triangle CAB, point E is on segment AC between poin

mrs_skeptik [129]

Answer:

The correct option is;

ΔCED ~ ΔCAB

Step-by-step explanation:

Given that the translation maps angle ∠D to angle ∠B, we have;

Angle ∠D is congruent to ∠B (Given)

Segment ED is parallel to segment AB (lines having similar angles to a common transversal)

Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)

∠C is congruent to ∠C reflexive property

Therefore, we have;

∠C ≅ ∠C

∠E ≅ ∠A

∠D ≅ ∠B

Which gives ΔCED is similar to ΔCAB (not ΔCBA)

4 0

3 years ago

A cuboid has a square base.

padilas [110]

The length of one side of the square base is 8.5 centimeters.

Given the following data:

Volume of cuboid = 867 cm

Height = 12 cm

To find the length of one side of the square base:

Mathematically, the volume of a cuboid is given by the formula:

$Volume = Base \; area$ × $Height$

Substituting the given values, we have:

$867 = Base \; area$ × $12$

$Base\;area = \frac{867}{12}$

Base area = 72.225 $cm^2$

Now, we can find the length by using the formula:

$Area \;of\;a \;square = length^2$

$72.25 = length^2$

$Length = \sqrt{72.25}$

Length = 8.5 centimeters.

Therefore, the length of one side of the square base is 8.5 centimeters.

Find more information: brainly.com/question/11037225

8 0

2 years ago

If a section of a circle graph needs to represent 15%, then its angle measure will be a0 degrees.

mash [69]

We know that
Since a circle is 360 degrees,
then
360°-----------> 100%
x °----------> 15%
x=15*360/100-----> x=54°

the answer is
54 degrees

5 0

3 years ago

Read 2 more answers

Need help please :( What is the second term of (s+v)^5?

Citrus2011 [14]

First compute the coefficient like this:
$C_5^1=\frac{5!}{1!(5-1)!}=\frac{5!}{4!}=\frac{5\times4!}{4!}$
Simplifying the fraction over 4! we get:
$C_5^1=5$
and the variables are $s^4v$ . So answer $5s^4v$ .

The correct answer is C then.

3 0

3 years ago

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

gavmur [86]

Answer:

Tobias did best on the aptitude test.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Emilio

Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.

z = (x-μ)/σ

z = 76 - 70.6/9

z = 0.6

For Alissa

Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.

z = (x-μ)/σ

z = 298.8 - 282/24

z = 0.7

For Tobias

Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.

z = (x-μ)/σ

z = 8.04 - 7.2/0.4

z = 2.1

Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.

8 0

2 years ago