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2 years ago

What is 3 1/8 - 1 7/8=

Mathematics

1 answer:

photoshop1234 [79]2 years ago

6 0

Answer:

1 1/4

Step-by-step explanation:

3 1/8 - 1 7/8

I like to line them up vertically

3 1/8

- 1 7/8

---------------

We need to borrow from the 3

Take 1 from the 3 and make it 8/8

2 (1/8+8/8)

- 1 (7/8)

---------------------

2 (9/8)

- 1 (7/8)

---------------------

1 2/8

Simplify the fraction by dividing by 2 on the top and bottom

1 1/4

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72 students have vanilla ice cream and 20 students have chocolate ice cream. What is the ratio of the number of students who hav

leonid [27]

The ratio is 20:92 because 20 people chose chocolate and the total amount of people is 92

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2 years ago

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Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m

densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled $\frac{15*32}{60} = \frac{32}{4} = 8\text{km}$

So, his position after t minutes can be modeled by the following function:

$J(t) = 8 + 32t$

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

$M(t) = 52t$

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

$M(t) = J(t)$

$8 + 32t = 52t$

$20t = 8$

$t = \frac{8}{20}$

$t = 0.4$

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

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2 years ago

A line contains the points (3,9) and (-1,1) what is the equation of the line?

kirza4 [7]

To find the equation of a line using two given set of points, you must first find slope. To do so, we must use the slope formula:
y2 - y1 / x2 - x1

In this case:
1 - 9 / -1 - 3 = -8 / -4
- 8 / -4 = 2 (simplified)

Now we can use the point-slope formula:
y - y1 = m(x - x1)

y - 1 = 2(x + 1 )
y - 1 = 2x + 2
y = 2x + 3

In order to make 3x - y = 6 in slope intercept form, we must isolate y.

- y = -3x + 6
Note: y cannot be negative, so we'll multiply both sides by -1
( -1 ) - y = - 3x + 6 ( -1 ) = y = 3x -6

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3 years ago

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What is the volume of a sphere with surface area of 25 pi yd squared?

kherson [118]

$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} SA=25\pi \end{cases}\implies 25\pi =4\pi r^2 \\\\\\ \cfrac{25\pi }{4\pi }=r^2\implies \cfrac{25}{4}=r^2\implies \sqrt{\cfrac{25}{4}}=r\implies \cfrac{\sqrt{25}}{\sqrt{4}}=r\implies \cfrac{5}{2}=r \\\\[-0.35em] ~\dotfill$

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi \left( \frac{5}{2} \right)^3}{3}\implies V=\cfrac{4\pi \cdot \frac{125}{8}}{3}\implies V=\cfrac{\frac{500\pi }{8}}{~~\frac{3}{1}~~} \\\\\\ V=\cfrac{500\pi }{8}\cdot \cfrac{1}{3}\implies V=\cfrac{500\pi }{24}\implies V=\cfrac{125\pi }{6}\implies V\approx 65.45$

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3 years ago

50 laps in 10 day = how many laps in 1 day?

Natali [406]

5 laps in 1 day

50/10 = 5

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2 years ago

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