4 years ago

WILL GIVE 20 points PLEASE ANSWER ITS URGENT

1 answer:

8 0

The answer for the first blank would be 1/2 because it had been dilated down to half it's original size. I hope this helps!

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Divide 72 in a ratio of 3:5

Keith_Richards [23]

The ratio is 3:5.
$\frac{x}{y}=\frac{3}{5} \ \ \ |\hbox{cross multiply} \\
5x=3y \ \ \ |\div 5 \\
x=\frac{3}{5}y$

You have to divide 72, so the sum of x and y is 72.
$x+y=72 \ \ \ |-y \\
x=72-y$

Set both expressions equal to each other:
$x=x \\
\frac{3}{5}y=72-y \ \ \ |\times 5 \\ 
3y=360-5y \ \ \ |+5y \\
8y=360 \ \ \ |\div 8 \\
y=45 \\ \\
x=72-y=72-45=27$

72 divided in a ratio of 3:5 is 27:45.

8 0

4 years ago

Use the quadratic formula to solve the equation 4x^2+6x-4=0

Vesnalui [34]

Answer:

$\large\boxed{x=-2\ or\ x=\dfrac{1}{2}}$

Step-by-step explanation:

$\text{The quadratic formula of an equation}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{We have}\ 4x^2+6x-4=0\to a=4,\ b=6,\ c=-4.\\\\\text{Substitute:}\\\\x=\dfrac{-6\pm\sqrt{6^2-4(4)(-4)}}{2(4)}=\dfrac{-6\pm\sqrt{36+64}}{8}=\dfrac{-6\pm\sqrt{100}}{8}\\\\x=\dfrac{-6-10}{8}=\dfrac{-16}{8}=-2\ or\ x=\dfrac{-6+10}{8}=\dfrac{4}{8}=\dfrac{1}{2}$

4 0

3 years ago

A pick-up truck can hold 24 gallons of gas. For each mile traveled, the pick-up truck uses 1/12 of a gallon of gas. How far can

bekas [8.4K]

Answer: depends how far is he driving

Step-by-step explanation:

3 0

3 years ago

I really need help with a lot of questions

Vinil7 [7]

Answer:16

Step-by-step explanation:

6 0

3 years ago

The area of a triangle is 384 sq ft. If it's base is 8 ft longer than its height. Find the length of the base and height.

Alex787 [66]

$x-\ base\\
y- \ height\\\\
x-8=y\\
Area=\frac{1}{2}xy\\\\
384=\frac{1}{2}*x(x-8)\\
768=x^2-8x\\
x^2-8x-768=0\\(x-32)(x+24)=0\\\\
x=32\\\\y=32-8=24\\\\Length\ of\ base\ is\ 32\ and\ height\ 24.$

8 0

4 years ago

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