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3 years ago

Ten coins weigh 25 grams how much does 1 coin weigh

1 answer:

8 0

You need to divide here! Ok so if ten coins weigh twenty five grams, we need to do:
10÷25=?
Its easy if its ten you just shift the places. !0 divided by 25 is 2.5

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Given a+b=7 and a–b=3, find: 2^a*2^b

seropon [69]

Answer:

128

Step-by-step explanation:

5+2=7

5-2=3

2^5=32

2^2=4

32*4=128

Hope this helps:)

7 0

3 years ago

A linear function has an x-intercept of 12 and a slope of 3/8. How does this

Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8

Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0

2 years ago

What happens to the circumference of a circle when the radius is quadrupled?

kogti [31]

He circumference of a circle is equal to the diameter times pi. So, let's look at what happens if you double the radius of a circle -- say from 2 to 4. The area will go from 12.56 to 50.24. This means that it has quadrupled.

6 0

2 years ago

Read 2 more answers

Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days. 4a.Writ

expeople1 [14]

Answer:

20 + 5m = 140

$24 on each day of the last five days

Step-by-step explanation:

Total amount to spend in 6 days = $140

He spent:

First day = $20

Balance = Total amount to spend - Amount spent on first day

= $140 - $20

= $120

He spent the same amount of money during the next five days.

Amount spent each day in the last 5 days = Balance / 5 days

= 120 / 5

= 24

Amount spent each day in the last 5 days = $24

The equation is

20 + 5m = 140

Where,

m = amount spent in the last five days

20 + 5m = 140

5m = 140 - 20

5m = 120

m = 120 / 5

m = $24

5 0

2 years ago

A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pip

olasank [31]

Answer:

The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes

Step-by-step explanation:

The given information are;

The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes

The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes

Therefore, the flow rate of pipe A = V/12

The flow rate of pipe B = V/16

Due to the restriction, we have;

The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity

The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity

Whereby the tank is filled 3 minutes after the restriction is removed, we have;

$\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t + \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V$

Simplifying gives;

$\dfrac{(2\cdot t +7) \cdot V}{16} = V$

2·t + 7 = 16

t = (16 - 7)/2 = 4.5 minutes

Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal

7 0

3 years ago

Read 2 more answers