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Sidana [21]
1 year ago
5

Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

Mathematics
1 answer:
goldenfox [79]1 year ago
3 0

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

\frac{12\text{ in}}{\$0.48}

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}

Then, cross-multiply and solve for x:

\$0.48x=(\$0.28)(12)

\$0.48x=\$3.36

x=\frac{\$3.36}{\$0.48}

x=7

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A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
2 years ago
An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second
Elis [28]

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

8 0
3 years ago
5.8 = x/2.2<br><br> A: 127.6<br> B: 0.37<br> C: 3.7<br> D: 12.76
Nataly [62]
Hi there! To solve this, all we have to do is multiply each side by 2.2 to cancel out the variable and to find the value for it. 5.8 * 2.2 is 12.76. 12.76/2.2 is 5.8. x = 12.76. The answer is D.
3 0
3 years ago
Read 2 more answers
Name two points that are reflections of each other across the y-axis.
zheka24 [161]

Answer:

(1,1), (-1,1)

Step-by-step explanation:

To reflect a point over the x-axis, simply make its x-value negative. So, we can take the sample point of (1,1), make its x-value negative, and get (-1,1).

5 0
3 years ago
This is worth 20 points. If you do both questions you get brainlest!
Ugo [173]
5.78♡︎♡︎ and 2.4♡︎♡︎ it’s possible i may be wrong but i’m pretty sure i’m right!✨ ♡︎Brainliest please!♡︎ Good luck with your test or homework hope this helped♡︎♡︎
6 0
3 years ago
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