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saw5 [17]
2 years ago
10

If you bought a hamburger for $10.25 and a soda for $4.53 and had $9 left over, then how much money did you originally have?

Mathematics
1 answer:
Marat540 [252]2 years ago
7 0
$23.78 you originally had
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The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width o
katen-ka-za [31]

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12  

Just plug in and solve.

w = 20 - 12

w = 8

So your length and width are 20 and 8.

l = 20

w = 8

7 0
3 years ago
Find the volume of a pyramid with a square base, where the side length of the base is
nlexa [21]

Answer:

336.8 cubic meter or 336.8m³

Step-by-step explanation:

In other to solve the above question we would be using the volume of a square based pyramid.

The formula for the volume of a square based pyramid is

1/3a²h

In the above question we are given the following values as:

Side length of the base = a = 11.1 m

Height of the pyramid = h = 8.2m

Volume of the square based pyramid = 1/3 × 11.1² × 8.2

= 336.774 cubic meter or 336.774 m³

Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³

8 0
3 years ago
In 2006, 5,200 highway accidents were recorded in a city. The number of highway accidents increases by 5% every year. Let y repr
borishaifa [10]

Answer:

C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Step-by-step explanation:

The initial number of accidents = 5200 = Po

It increases 5% every year.

So r = 5% = 0.05

y = Po(1 + r)^x

y = 5200(1 + 0.05)^x

y = 5200(1.05)^x

This sequence is an exponential. Which is a geometric sequence.

Answer: C. The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.

Thank you.

5 0
3 years ago
Read 2 more answers
Is (6 + 14) + 70 = transitive ?
oksian1 [2.3K]
Okay so we gotta do whats in the lines first so 6+14 that’s gonna be 20 but the add the 70 and it’s gonna be 90
7 0
3 years ago
Read 2 more answers
Did I get all of these right? feedback from experts please!
Troyanec [42]

Answer:

ucf8riucfuvigruvufgv

Step-by-step explanation:

u7dfi8t57dch

8 0
3 years ago
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