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Flauer [41]
3 years ago
14

One number is 7 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 748 ​

, find the numbers.
Mathematics
1 answer:
baherus [9]3 years ago
3 0

Answer:

72, 504, 172

Step-by-step explanation:

Let the unknown number be denoted as "x"

The second number = 7x

And the third number = 100 + x

(x) + (7x) + (100 + x) = 748

x + 7x + x + 100 = 748

9x + 100 = 748

9x = 748- 100

9x = 648

x = 648/9

x = 72

The first number = 72

The second number = 7x = 7 × 72 = 504

The third number = 100 + x = 100 + 72 = 172

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If y varies inversely as x and y=16 when x=4, find y when x=3
iren [92.7K]

Answer:

21.33 to nearest hundredth

Step-by-step explanation:

Inverse Variation is y = k / x where k is a constant.

Plug in the given values to find k:-

16 = k/4

k = 4*16 = 64 so the equation  of variation is y = 64/x.

So when x = 3,   y = 64/3 = = 21.33 to nearest hundredth.

6 0
3 years ago
How to write the slope intercept equation for points of (6,0) and (0,-5)?
Vadim26 [7]

Answer:

y=\frac{5}{6} x -5

Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to find the slope, but let's label the points to avoid confusion

x_1=6\\y_1=0\\x_2=0\\y_2=-5

Now substitute these values into the formula

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-5-0}{0-6}

Subtract

m=\frac{-5}{-6}

Simplify

m=\frac{5}{6}

The slope of the line is 5/6

Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y=\frac{5}{6}x+b

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

y=\frac{5}{6} x -5

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): brainly.com/question/20891204

8 0
2 years ago
What is the range of the function y=3^x<br><br> x&gt;0<br><br> R<br> y&lt;0<br> y&gt;0
Dima020 [189]

Answer:

The range is  y > 0

Step-by-step explanation:

3^x is always greater than 0 and cannot be negative   unless x is not real

5 0
3 years ago
Plz answer this ASAP I need help
SSSSS [86.1K]
Am not 100% sure but I think it’s A
7 0
2 years ago
Read 2 more answers
Charlie reads quickly, he reads 1 3/7 pages every 2/3 minutes. how many pages does he reqd per minute.
elena-s [515]
1page and 3/7 of a page means 10/7pages.
2/3 minutes equals 40 seconds.
1 minute = 60 seconds
divide 10/7 by 40 then multiply the answer by 60 you get the number of pages Charlie can read per minutes.
(10/7 ÷ 40)*60=15/7=2 pages and 1/7 of the page.
Answer: 2 1/7
7 0
3 years ago
Read 2 more answers
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