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3 years ago

One number exceeds another number by 6. One fourth of the sum of the two numbers is two less than the smaller.

Mathematics

1 answer:

dolphi86 [110]3 years ago

4 0

Answer:

7 and 13

Step-by-step explanation:

let the 2 numbers be x and y , x > y , then

x = y + 6 → (1)

$\frac{1}{4}$ (x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )

x + y = 4y - 8 ( subtract 4y from both sides )

x - 3y = - 8 → (2)

Substitute x = y + 6 into (2)

y + 6 - 3y = - 8

- 2y + 6 = - 8 ( subtract 6 from both sides )

- 2y = - 14 ( divide both sides by - 2 )

y = 7

Substitute y = 7 into (1)

x = 7 + 6 = 13

The 2 numbers are 7 and 13

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A liquid solution is slowly leaking from a container. The graph shows the milliliters of solution, y, remaining in the container

Burka [1]

Answer:

90 minutes

Step-by-step explanation:

See attachment for graph.

First, we need to determine the slope.

When y = 900, x = 0

When y = 600, x = 30

The slope is then calculated as:

m = (y2 - y1)/(x2 - x1)

m = (600 - 900)/(30 - 0)

m = -300/30

m = -10

Next, we determine the equation of the line using

y - y1 = m(x - x1)

So, we have:

y - 900 = -10(x - 0)

y - 900 = -10x

y = 900 - 10x

When the container is empty, y = 0.

So, we have:

0 = 900 - 10x

Collect Like Terms

10x = 900

Solve for x

x = 900/10

x = 90

3 0

3 years ago

Need answer quick please answer quick

Natalka [10]

Answer : 1⅖ft.²

Given :-

Print is 7/8 ft wide and 1⅗ ft long .

To Find :-

The area of the print .

Here the length of the print is 1⅗ ft . So on converting this into improper fraction , we have ;

→ length = 1⅗ ft = (5*1+3)/5 ft = (5+3)/5ft = 8/5ft.

Also ,

→ breadth = 7/8ft .

We know that the area of a rectangle is ,

→ Area = length * breadth

On substituting the respective values,

→ Area = 8/5 ft. * 7/8ft

→ Area = 7/5 ft.²

After converting improper fraction into mixed fraction ,

→ Area = 1⅖ ft² .

Henceforth the area of the print is 1⅖ft.² .

I hope this helps.

6 0

2 years ago

Solve -6f + 13 = 2f - 11

igor_vitrenko [27]

Answer:

f = 3

Step-by-step explanation:

Solve for f:

13 - 6 f = 2 f - 11

Subtract 2 f from both sides:

13 + (-6 f - 2 f) = (2 f - 2 f) - 11

-6 f - 2 f = -8 f:

-8 f + 13 = (2 f - 2 f) - 11

2 f - 2 f = 0:

13 - 8 f = -11

Subtract 13 from both sides:

(13 - 13) - 8 f = -13 - 11

13 - 13 = 0:

-8 f = -13 - 11

-13 - 11 = -24:

-8 f = -24

Divide both sides of -8 f = -24 by -8:

(-8 f)/(-8) = (-24)/(-8)

(-8)/(-8) = 1:

f = (-24)/(-8)

The gcd of -24 and -8 is -8, so (-24)/(-8) = (-8×3)/(-8×1) = (-8)/(-8)×3 = 3:

Answer: f = 3

4 0

3 years ago

Read 2 more answers

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has

Bas_tet [7]

Hey there! I’m happy to help!

We see that the two equal sides are longer than the base. This means that our a will be larger than b. The problem says that one of the longer sides is 6.3. Since the two longer sides are equal, that means that both longer sides are 6.3 cm. Therefore, we can simply subtract these two from the perimeter to find the shorter side, which is the base.

15.7-6.3-6.3=3.1

Therefore, the length of the base is 3.1 cm.

I hope that this helps!

3 0

3 years ago

What is the equation in point-slope form if a line that passes through points (3,-5) and (-8,4)?

nignag [31]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (3, -5) and (-8, 4).

Substitute:

$m=\dfrac{4-(-5)}{-8-3}=\dfrac{9}{-11}=-\dfrac{9}{11}\\\\y-4=-\dfrac{9}{11}(x-(-8))\\\\y-4=-\dfrac{9}{11}(x+8)\to C)$

3 0

3 years ago