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defon
3 years ago
12

A cleaning company charges a fee of &65 in addition to $10.50 per hour of cleaning, let x represent the number of hours clea

ning and let y represent the total charge. complete the fuction equation that relates the total charge to the number of hours spent cleaning.
y=________x + ________
Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0
Fee of $65
$10.50 per hour

'x' represents hours

Therefore we have:

y = 10.50x + 65

Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
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Find the area of the following triangle below
postnew [5]
Area of triangle = 1/2 absinC
area of triangle = 1/2 (12) (24) sin(30°)
area of triangle = 72 unit²

6 0
3 years ago
The hands on a clock represent rays. At 6:00, they form opposite Rays. What undefined term do the hands of the clock represent a
k0ka [10]

The undefined term that the hands of the clock represent at 6:00 is line

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

Given that hands on a clock represent rays

At 6:00, they form opposite Rays

To find: undefined term that the hands of the clock represent at 6:00

The figure of 6 : 00 on clock is attached below

The hands on clock form a straight line at 6 : 00 clock

At 6 : 00 clock, the hour hand is at 6 and minute hand is at 12. They form a straight line together

So the undefined term is "line"

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3 years ago
The diameter of a circle measures 28 ft. what is the circumference of the circle? Use 3.14 for π, and do not round your answer.
horsena [70]

Answer:

87.92 ft

Step-by-step explanation:

The circumference of a circle can be found using the formula: c = 2pi(r) OR c = pi(d).

r stands for the radius, d stands for the diameter. Because you're given the diameter of the circle, you can simply multiply 28 by pi (3.14), and you'll get the circumference!

3 0
3 years ago
Finding the area shaded figure
dimaraw [331]

complete square = 100 square yards

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shaded area = 75 square yards

5 0
4 years ago
Solve x + y + z = 12
hjlf
The answer is (2,4,6)
Proof:

Solve the following system:{x + y + z = 12 | (equation 1){2 x - y - z = -6 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Swap equation 1 with equation 2:{2 x - y - z = -6 | (equation 1){x + y + z = 12 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Subtract 1/2 × (equation 1) from equation 2:{2 x - y - z = -6 | (equation 1){0 x+(3 y)/2 + (3 z)/2 = 15 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Multiply equation 2 by 2/3:{2 x - y - z = -6 | (equation 1){0 x+y + z = 10 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Subtract 1/2 × (equation 1) from equation 3:{2 x - y - z = -6 | (equation 1){0 x+y + z = 10 | (equation 2){0 x+(7 y)/2 + (11 z)/2 = 47 | (equation 3)
Multiply equation 3 by 2:{2 x - y - z = -6 | (equation 1){0 x+y + z = 10 | (equation 2)v0 x+7 y + 11 z = 94 | (equation 3)
Swap equation 2 with equation 3:{2 x - y - z = -6 | (equation 1){0 x+7 y + 11 z = 94 | (equation 2){0 x+y + z = 10 | (equation 3)
Subtract 1/7 × (equation 2) from equation 3:{2 x - y - z = -6 | (equation 1){0 x+7 y + 11 z = 94 | (equation 2){0 x+0 y - (4 z)/7 = (-24)/7 | (equation 3)Multiply equation 3 by -7/4:{2 x - y - z = -6 | (equation 1){0 x+7 y + 11 z = 94 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Subtract 11 × (equation 3) from equation 2:{2 x - y - z = -6 | (equation 1){0 x+7 y+0 z = 28 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Divide equation 2 by 7:{2 x - y - z = -6 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Add equation 2 to equation 1:{2 x + 0 y - z = -2 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)Add equation 3 to equation 1:{2 x+0 y+0 z = 4 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Divide equation 1 by 2:{x+0 y+0 z = 2 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Collect results:

Answer: {x = 2, y = 4 , z = 6
5 0
3 years ago
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