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Scrat [10]
3 years ago
12

Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a wee last week he worked 35 hoursand ear

ned 436.60
Mathematics
1 answer:
stich3 [128]3 years ago
4 0

It is a very simple question to answer.


Obviously first we can calculate the number of hours that he over timed. So 5 hours he worked over time. So an equation to set this up equals to 30*x + 5*1.4x = 436.60.


On re arranging the equation and making x the subject, The answer comes out to be 37 x = 436.6. x = 11.8. So he earns around 11.80 $ per hour.

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Arrange the equations in increasing order of the value of their solutions.
DiKsa [7]

Answer:

The answer is below

Step-by-step explanation:

a)

1/4x + 5/2x - 2 = 4 - 1/4x

collecting like terms:

(1/4)x + (5/2)x + (1/4)x = 4 + 2

3x = 6

x = 6/3

x = 2

b)

7.9x + x + 4 = -1.1x - 16

collecting like terms:

7.9x + x + 1.1x  = - 16 - 4

10x = -20

x = -2

c)

3.2x + 5.7 = -2.5x

collecting like terms:

3.2x + 2.5x = 5.7

5.7x = 5.7

x = 1

d)

10.1x - 1.6x + 44 = -7

collecting like terms:

10.1x - 1.6x = -7 - 44

8.5x = -51

x = -6

Hence the equations in increasing order of the value of their solutions is:

10.1x - 1.6x + 44 = -7

7.9x + x + 4 = -1.1x - 16

3.2x + 5.7 = -2.5x

1/4x + 5/2x - 2 = 4 - 1/4x

4 0
3 years ago
Read 2 more answers
HELP HELP HELP!!!!! Please help!
viva [34]

Answer:

Regular peanut butter - .23

Family Size Peanut Butter - .15

5 0
3 years ago
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Write the untit rate rounded to the nearest hundredth ( two decimal places ) A coffee shop sold 48 cups of coffee in 4 hours how
Lyrx [107]

Answer:

The coffee shop sells 12 cups/hour.

Step-by-step explanation:

To figure this out you would divide the amount of cups (48) by the amount of hours (4)

4 0
3 years ago
Change the Cartesian Integral into an equivalent polar integral then evaluate the polar integral.
Elis [28]

Answer:

the ingegral I=π/4

Step-by-step explanation:

From the integral

I=∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy

from polar coordinates

r²=x² + y²

then for r=1

√(1- y²) = x

for y=1 → x=0 , for y=0 → x=1

then the integration area is a hemisphere or radius r=1

therefore

I= ∫0-1∫0-sqrt(1-y^2) (x^2 + y^2) dxdy = (1/2)∫2π-0 ∫1-0 r² *r drdθ ( the additional r is due to the Jacobian of the transformation to polar coordinates , 1/2 because is an hemisphere so it would be the half of the value of the total sphere)

I= (1/2)∫2π-0 ∫1-0 r³drdθ = (1/2)∫2π-0 (1⁴/4 - 0⁴/4) dθ = (1/2)∫2π-0 (1/4)*dθ = (1/2)*(1/4)*2π = π/4

3 0
4 years ago
Rachel is 1.55 m tall. Her friend, Pita, is 132 cm tall. Who is taller, and by how much?
anygoal [31]
Rachel is taller, she is taller by 23 cm
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