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andriy [413]
3 years ago
8

Given 2x - 4y = 24, the x-intercept is 12 and the y-intercept is -6.

Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

Answer:

False

Step-by-step explanation:

1. Plug in the numbers

2(x)-4(y)=24 -> 2(12)-4(-6)=24

2. Solve

2x12=24 & -4x(-6)=24

24-24=0

0≠24

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5 of 8
aleksandr82 [10.1K]

Given:

The mean age of 5 people in a room is 26 years.

A person enters the room. The mean age is now 33.

To find:

The age of the person who entered the room.

Solution:

Formula for mean:

\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}

The mean age of 5 people in a room is 26 years.

26=\dfrac{\text{Sum of ages of 5 people}}{5}

26\times 5=\text{Sum of ages of 5 people}

130=\text{Sum of ages of 5 people}

The mean age is now 33. It means, the mean age of 6 people is 33.

33=\dfrac{\text{Sum of ages of 6 people}}{6}

33\times 6=\text{Sum of ages of 6 people}

198=\text{Sum of ages of 6 people}

Now, the age of the person who entered the room is

Required age = Sum of ages of 6 people - Sum of ages of 5 people

                       = 198-130

                       = 68

Therefore, the age of the person who entered the room is 68 years.

6 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
fiasKO [112]

Answer:

H=310

Step-by-step explanation:

This problem is a great systems of equations problem--you have two different variables: song size and number of songs.

Let's call the number of standard version downloads (S) and the high quality downloads (H).

You can make two statements:

For number of songs downloaded: S + H = 910

For download size: 2.8(S) + 4.4(H) = 3044.

S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

Your question only asks for the standard version downloads, but to help you out in future Systems situations-

You can also solve for H once you have S by plugging it into either of your equations like this:

600 + H = 910

-600

Hope this helps!

7 0
2 years ago
the length of a rectangular pool is three times its width. The perimeter of the rectangular pool is 168 feet. find the length an
igor_vitrenko [27]

Step-by-step explanation:

breadth = 21 m

length = 63 m

7 0
3 years ago
Read 2 more answers
What is the steps for Discount
Inga [223]

1.) Divide the percentage discount by 100 to convert it into decimal. For example, if a shop offers a 40 per cent discount, divide 40 by 100 to get 0,4.

2.) Multiply the decimal number by the original price to find the discount percentage. For example,if the original price is $120, 120 is multiplied by 0,4 to find the discount which is $48.

3.) <span>Subtract the discounted amount to the original price to find the actual price with the discount subtracted. For example, subtract $48 to $120 to find that the price with the discount is $72.</span>
3 0
3 years ago
I just need reassurance
iVinArrow [24]

Answer:

i believe the answer is 286°

Step-by-step explanation:

a minor arc=to the central angle's measure.

a circle has 360°

so 360-74=286

3 0
3 years ago
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