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GaryK [48]
3 years ago
14

Harold earns $10.50 per hour working at a doctor’s office. On Monday he spent 1 5/12 hours filing paper work, 1 3/4 sending emai

ls and 2 1/3 hour’s making appointments. What were Harold’s earnings?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:$57.75

Step-by-step explanation:

Find the total amount of hours he worked

1\frac{5}{12} +1\frac{3}{4} +2\frac{1}{3}\\\\\frac{17}{12}+ \frac{7}{4} +\frac{7}{3} \\\\\frac{17+21+28}{12} \\\\\frac{66}{12}=\frac{66/2}{12/2}=\frac{33/3}{6/3}=  \frac{11}{2} or 5\frac{1}{2} or 5.5h

So, he worked 5.5h and he earns $10.50 an hour.

($10.50)(5.5h)=$57.75

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The area of a parallelogram is 120 cm ^ 2 and the height is 30 cm . Find the corresponding base
const2013 [10]

Answer:

4 cm

Step-by-step explanation:

The Area of a parallelogram is given by :

Area = base * height

Area = 120 cm² ; height = 30

Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

3 0
2 years ago
F 9 is added to twice a number and this sum is multiplied by 4​, the result is the same as if the number is multiplied by 4 and
riadik2000 [5.3K]
Let
x---------> the number

we know that
[9+2x]*4=4x+12
36+8x=4x+12
8x-4x=12-36
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8 0
3 years ago
In the expression , 5.28 x 10^3 , which number is the base ?
solong [7]
Bse is 10
x^m, x is base of exponent
7 0
3 years ago
3х + бх = ух<br> What I the answer
Dominik [7]

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dy=9-y

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Step-by-step explanation:

5 0
3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

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

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
2 years ago
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