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Iteru [2.4K]
1 year ago
7

carmen is an electrician she charges an initial fee of $32 plus $33 per hour if carmen earned $197 on a job how long did the job

take?
Mathematics
2 answers:
nydimaria [60]1 year ago
6 0
Hope this helps but the answer is that she worked for 5 hours because      
197-32=165.  165/33=5 so she worked 5 hours.
nadezda [96]1 year ago
4 0

197 = 32 + 33x

165=33x

x = 5

so she worked 5 hours

You might be interested in
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volum
defon
At first, I thought this was going to be a dog of a bear of a problem,
but then I fixated it with my steely burning gaze and it fell apart for me.

The volume of a pyramid is   (1/3) (base area) (height)

Each of these pyramids has the same base area and the
same height, so ...

      Volume of the lower pyramid = (1/3) (base area) (height)
      Volume of the upper pyramid = (1/3) (base area) (height)

Combined volume of both pyramids = (2/3) (base area) (height) .

Now, how do the pyramids relate to the rectangular prism ?

Their base area is  (length x width) of the prism, and
their height is  (1/2 the height) of the prism.

From here, we'll work with the dimensions of the prism ... L, W, and H .

Combined volume of the pyramids = (2/3) (L x W) (1/2 H)

                                                           =  (1/3) (L x W x H) .

Volume of the prism  =  (L x W x H)

The pyramids occupy 1/3 the volume of the prism.

The ratio is  1/3 .
5 0
2 years ago
Answer below these questions
timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

3 0
2 years ago
A. One day Annie weighed 24 ounces more than Benjie, and Benjie weighed 3 1/4 pounds less than Carmen. How did Annie’s and Carme
Debora [2.8K]
<h2>Answer:</h2>

A.

Let Annie's weight be = a

Let Benjie's weighs = b

Let Carmen's weight be = c

One day Annie weighed 24 ounces more than Benjie, equation forms:

a=b+24        ......(1)

Benjie weighed 3 1/4 pounds less than Carmen.  

In ounces:

1 pound = 16 ounces

\frac{13}{4} pounds = \frac{13}{4}\times16=52 ounces

b=c-52  or

c=b+52    ......(2)

Now adding (1) and (2), we get

a+b=b+24+c-52

=> a=c-28

This gives  Annie weighs 28 ounces less than Carmen.

B.

We cannot know anyone's actual weight, as we only know their relative weights.

3 0
1 year ago
Vijay has an annual salary of 47,000, and his company pays him twice a month. What is the gross income in each paycheck that Vij
leonid [27]
Alright, so he has an <em>annual </em>salary of 47,000 dollars. Which means that he is paid 47,000 dollars in 12 months. You'll first have to calculate the pay Vijay receives <em>each month</em>, which is \frac{47,000}{12 months}, or about $3,916.67 (I'll round up to 3917 for simplicity). 

Now, he gets paid twice a month. So each paycheck is half of $3917. 3917 x (1/2) = $1958.50. 

So each paycheck should be $1958.50 (this is a rounded figure). 
6 0
1 year ago
Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the p
anzhelika [568]

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

5 0
1 year ago
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