Jim & Jesse each had the same amount of money. Jim spent $58 and Jesse spent $37. Afterward, the ratio of Jim's money to Jesse's is 1:4. How much money did each have at first?

Answers

Answer 1

Answer: $x-\ money\ that\ each\ of\ them \ had\ previously\n\n4(x-58)=x-37\n\n4x-232=x-37\ \ \ | subtract\ x\n\n3x-232=-37\ \ \ | add\ 232\n\n3x=195\ \ \ | divide\ by\ 3\n\nx=65\n\nEach\ of\ them\ had\ 65\$\ at\ the\ beginning.$

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how the position of the decimal point change in a quotient as you divide a number by 10, 100, and 1,000

Answers

The decimal moves forward as many places as there are zeros when you divide a number by 10, or a multiple of 10.

7 divided by 10= .7
7 divided by 100= .07
7 divided by 1000= .007

The rise and span for a roof are shown. The pitch of a roof is the ratio of the rise to the half-span. If the rise is 8 feet and the span is 30 feet, what is the pitch in simplest form?

Answers

Half-span is half of span. Pitch of the roof is calculated as rise/(span/2). In this case, rise is 8 feet and span is 30 feet. So, the pitch can be calculated as 8/(30/2) or 8/15. Pitch is normally represented as the number of inches of rise per foot. So, to reduce 8/15 to match a foot, we multiply it by 12. So, (8/15) * 12 gives us 6.4 inches of rise per foot.

The pitch or slope of a roof is defined as the ration of rise and half of the span. In equation we can write:

$Pitch=(Rise)/(Half-span)$

Half-Span equals the run. So we can define the Pitch as:

$Pitch = (Rise)/(Run)$

Rise = 8 feet

Run = Half of span = 15 feet

Using the values in the above formula, we get:

$Pitch = (8)/(15)$

Therefore, the pitch (or slope) of the roof in simplest form is 8/15

Pitch is normally defined as the vertical rise of a roof for ever 12 feet increase in its horizontal run. The above fraction shows the vertical rise is 8/15 for each 1 feet increase in the horizontal run. So if we simply multiply the the above fraction by 12, we will get the pitch in standard units.

So,

Pitch = 8/15 x 12 = 6.4

Therefore, the pitch of the roof will be 6.4

There are 3000 people at a concert you survey a random sample of 200 people and find that for 35 of them this is their first concert they have ever attended estimate how many total people are attending their first concert that night

Answers

ok so
ratio
35/200=x/3000
7/40=x/3000
multiply both sides by 12000
2100=4x
divide both sides by 4
525=x

aprox 525 people

Please help me! If you answer first, you will get 44 points!!!I don't care if you use a calculator.

Answers

1. 44
2. 126.854
3. 9 5/12
4. so 0.00635
5. 5*5*11
6. 704
7. 4
8. 8,3'9
9. $1296
10. absolute value meas that whatever the result is in between the abolute value signs you make it positive so if 2-3 wer in absolute value signs the answer would be +1

11. prime 2=2
12. composite 9=3*3
13. prime 29=29
14. composite 51=3*17
15. composite 77=
16. prime 101=101
17. composite 231=3*7*11
18. composite 4924=2*2*1231
19. prime 1=1
20. prime 31=31

1) 44,000
2) 126.8543
3) 9 5/12
4) 0.00635
5) 5^2 * 11
6) 8
7) 4
8) 8.3
9) $1296
10) Absolute value is the distance from any given number from zero. ex) absolute value of -9 is 9.
11) prime
12) composite
13) prime
14) composite
15) composite
16) prime
17) composite
18) prime
19) prime
20) prime

Leticia spends $18.45 on a shirt. She spends a maximum of $3.00 more than Humberto spends. If h represents the amountHumberto spends, which symbol can be used to complete the inequality below to represent this situation?
18.45_3+h

Answers

Answer: C

Step-by-step explanation:

a circle is divided into 18 equal parts how many degrees is the angle for each part? how many degrees is the angle for 5 parts? explain

Answers

There are 360 degrees in a circle, and we have 18 pieces, so we need to see how many times 18 goes into 360. We can find this out by dividing.

360/18=20

You can check this by multiplying 20 and 18 (it equals 360)!

So, each fraction of the circle will be 20 degrees.

If you take 5 of these 20 degree pieces, you'll need to multiply them by 20 to see how many degrees they'd be.

You need to multiply by 20 because each piece is 20 degrees, and we need to find how many degrees 5 pieces is. It's the same as doing
20+20+20+20+20! :)

20*5=100. 5 parts will be 100 degrees.

Hope I helped! :)

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