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2 years ago

Using long division to show the fraction and decimal in each pair are equal 3/4 and 0.75

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

4 0

Answer:

How to show that they are equal.

Step-by-step explanation:

3/4 times 25 equals 75/100 and then when you turn it into a decimal it is 0.75. That is why they are equal.

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How many times greater is the value of the 4 in 640,700 than the value of the 4 in 67,040

Dafna1 [17]

640,700 :- the four in this number is 40,000
67,040 :- the four in this number is 40

Now, we need to find out how many times greater 40,000 is than 40.

40,000/40 = 1000

Answer: It is 1000 times greater.

6 0

3 years ago

Read 2 more answers

9. Use the formula A=bh to find the area of the

QveST [7]

Answer:

31.5 ft²

Step-by-step explanation:

7x4.5=31.5 ft²

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3 years ago

Rewrite the quadratic function in vertex form. Y=3x^2-12x+4

chubhunter [2.5K]

Answer:

$\large\boxed{y=3(x-2)^2-8}$

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

$f(x)=a(x-h)^2+k$

(h, k) - vertex

$h=\dfrac{-b}{2a},\ k=f(h)$

We have the equation:

$y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4$

Substitute:

$h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8$

Finally:

$y=3(x-2)^2+(-8)=3(x-2)^2-8$

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3 years ago

Write an equation in slope-intercept form of the line that passes through (-1,-3) and is parallel to the graph of y=4.

strojnjashka [21]

Use the point slope equation: y - y1 = m(x - x1)

(-1, -3); m = 4
Plug these numbers in.

y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1

3 0

3 years ago

Read 2 more answers

A camp counselor starts from home and drives to a campground. The expression 130−60t represents the distance, in miles, the coun

telo118 [61]

Answer:

The value 60 represents the speed of the vehicle the counselor is driving.

Step-by-step explanation:

Linear Function

The linear relationship between two variables d and t can be written in the form

$d=mt+b$

Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis

The function provided in our problem is

$d=130-60t$

Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:

$d=-60t+130$

Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases

4 0

3 years ago