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OLga [1]
2 years ago
15

Amy buys two shirts. One shirt costs $12.95 and the other costs $15.98. How much money does Amy spend altogether

Mathematics
2 answers:
pshichka [43]2 years ago
5 0
She spent 28.93 in total
shtirl [24]2 years ago
4 0

Answer:

$28.93

Step-by-step explanation:

 12.95+15.98 = $28.93

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5x-11=3x+5 solve for ”x”
I am Lyosha [343]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

5x - 11 = 3x + 5

Step 2: Solve for <em>x</em>

<u>Subtract 3x on both sides:</u> 2x - 11 = 5

<u>Add 11 to both sides:</u> 2x = 16

<u>Divide both sides by 2:</u> x = 8

Step 3: Check

<em>Plug in x to verify it is a solution.</em>

5(8) - 11 = 3(8) + 5

40 - 11 = 24 + 5

29 = 29

4 0
3 years ago
How do you simplify -(5x+1)
Roman55 [17]
-1(5x+1)
-5x-1
the (-) in front is just a short way to put (-1)
6 0
3 years ago
-4(7a+5) = -160 Show All Work!
Fynjy0 [20]

Answer:

a=-20

Step-by-step explanation:

-4(7a+5)=-160

7a+(-20)=-160 Multiply -4 and 5

7a=-140 Subtract -20 from -160

a=-20 Divide 7 by -140

7 0
3 years ago
3 over 6=k over 7- find k's value
WARRIOR [948]

Step-by-step explanation:

3/6=k/7

cross multiply then

6k=21

divide by the coefficient of k

k=3.5

6 0
2 years ago
The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
andreev551 [17]

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

#SPJ4

3 0
2 years ago
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