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2 years ago

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Write and solve an equation to represent the following situation: an electrician earns an hourly wage of $13.50 plus a $75 bonus

. If he made $149.25, how many hours, h, did he work?

1 answer:

Bingel [31]2 years ago

8 0

149.25=13.5h+75
(149.25-75)/13.5=5.5=h

You might be interested in

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

<u>AB = RS</u>

<u>∠ABC ~ ∠RST</u>

<u>ΔABC = ΔRST</u>

<u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

<u>AB = RS</u>; Image formed by rigid transformation

<u>∠ABC ~ ∠RST</u>; Definition of similarity

<u>ΔABC = ΔRST</u>; By definition of congruency

<u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0

2 years ago

82,321 to the nearest hundred ?

Lyrx [107]

82,300 because you need to round it to the 100 place

6 0

2 years ago

You are comparing to wireless services. Verizon changes $35 a month and $5 per gigabyte of data.

ikadub [295]

A) Gigabytes = x
B) 35+5x = 25+10x
10 = 5x
2 = x
C) After 2 gigabytes, the wireless services will cost the same ($45)

7 0

2 years ago

Rowan reads at a constant rate of 1.5 pages per minute and has already

saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

A linear function is modeled by:

$y = ax + b$

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

He has already read 20 pages, hence the y-intercept is $b = 20$ .

He reads 1.5 pages per minute, hence the slope is $a = 1.5$

Then:

$y_R = 1.5x + 20$

For Kennedy, we have that:

He has already read 25 pages, hence the y-intercept is $b = 25$ .

He reads 1 page per minute, hence the slope is $a = 1$

Then:

$y_K = x + 25$

They will have read the same number of pages after x minutes, for which:

$y_R = y_K$

Then:

$1.5x + 20 = x + 25$

$0.5x = 5$

$x = \frac{5}{0.5}$

$x = 10$

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0

2 years ago

Mademuasel [1]

Answer:

x = 9

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

Given

$11^{x}$ = $11^{4}$ × $11^{5}$ = $11^{(4+5)}$ = $11^{9}$

Since the bases on both sides are common, then equate the exponents

x = 9

4 0

2 years ago