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2 years ago

Can someone help me on this question ??

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

4 0

Let the time be x.

Using unitary method here,

$\frac{ \frac{1}{3} }{ \frac{1}{4} } = \frac{1}{x}$
$\frac{1}{3} x = \frac{1}{4} \\ \\ x = \frac{3}{4}$

So the person is gonna take 3/4 hours.

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Heather has divided $5400 between two investments, one paying 8%, the other paying 5%. if the return on her investment is $

Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided $5400 between two investments. We can represent this information as:

$x+y=5400...(1)$

The return on her investment is $345.

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

$(\frac{8}{100})x+(\frac{5}{100})y=345...(2)$

$0.08x+0.05y=345...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=5400-y$

Substituting this value in equation (2) we will get,

$0.08(5400-y)+0.05y=345$

$432-0.08y+0.05y=345$

$-0.08y+0.05y=345-432$

$-0.03y=-87$

$\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}$

$y=2900$

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

$x+2900=5400$

$x+2900-2900=5400-2900$

$x=2500$

Therefore, Heather has invested an amount of $2500 at 8%.

6 0

3 years ago

Emily had 75 buttons. She gave 15 to Jake. What percent of buttons did she give to Jake?

eduard

Answer:

20%

Since Emily gave 15 of her buttons out of 75, it's just 15/75 or 1/5 which is 20

Step-by-step explanation:

8 0

2 years ago

Consider a graph of the equation y = x + 6. What is the y-intercept?

Ratling [72]

In y = mx + b form, which is what ur equation is in, the y int can be found in the b position

y = mx + b
y = x + 6

as u can see, the number in the b position, ur y int, is 6 <==

7 0

2 years ago

How many pounds in an oz

givi [52]

1 oz = 0.0625 lbs or 1/16 lbs

1 lb = 16 oz

Hope I helped!

3 0

3 years ago

HELP I AM TIMED AND EXPLAIN HOW YOU GOT IT

Illusion [34]

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

5 0

2 years ago