What is the ratio of X:Y. 12Y equal 7X

Answers

Answer 1

Answer: $22y=7x\ /:(7y)\n \n (22y)/(7y)= (7x)/(7y) \n \n (22)/(7) = (x)/(y)$

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Rationalize the denominator of the fraction and enter the new denominator below.8/2-√12
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The area of a trapezoid is 150 in squared if the height is 8 in. And the longer base is 23 in. What is the length of the shorter base ?

Answers

$A=150in^2\n\nh=8in;\ a=23in;\ b=?\n\nA=(a+b)/(2)\cdot h\n\n(23+b)/(2)\cdot8=150\n\n(23+b)\cdot4=150\ \ \ \ /:4\n\n23+b=37.5\ \ \ \ /-23\n\nb=14.5\ (in)\leftarrow answer$

If As income is 20% more than Bs income, how much percent is Bs income less than As income

Answers

$As\ is\ 120\%\ Bs\n\n120\%=1.2\to(As)/(Bs)=1.2\n\n(As)/(Bs)=(12)/(10)\to(Bs)/(As)=(10)/(12)\to(Bs)/(As)=(5)/(6)\n\n(5)/(6)\cdot100\%=(500)/(6)\%=83(1)/(3)\%\n\n100\%-83(1)/(3)\%=16(2)/(3)\%\n\nAnswer:Bs\ income\ is\ 16(2)/(3)\%\ less\ than\ As\ income.$

What point on the number line is 1/4 of the way from the point -2 to the point 5

Answers

Step-by-step explanation:

From -2 to 5 is a distance of 7 units

1/4 of 7 units = 7/4

add this amount to - 2 to find the point - 1/4

In accute triangle abc side a=10, side b=12 and angle a is 42. Find angle b to the nearest degree

Answers

A triangle has 3 sides and 3 angles. The triangle involve is an acute triangle. This means that the rest of the angles in the triangle is acute. Acute angles are angles with measurement blow 90 degrees. To solve this problem we use the Sin Law. The ratio of the side and sine of the angle apposite to the side is constant. 10/sin(42) = 12/sin(x). Solve for x.
The answer is 53.41 degrees.

There are 250 students in a senior. of the 250 students, 102 are boys. there are 20 senior girls and 18 senior boys on the track team. What is the probablity a randomly chosen student from the senior class is a girl who does not run track?

Answers

If 102 are boys then 250 - 102 = 148 are girls.
If 20 girls run track, then 148 - 20 = 128 girls do not run track
probability a randomly chosen student from the senior class is a girl who does not run track = (probability the student chosen is a girl) * (probability the student does not run track)
= (148/250) * (128/250) = 128/250 = 62/125

How do you solve this problem
8a+a-3=6a-2a-3

Answers

$8a+a-3=6a-2a-3\n\n9a-3=4a-3\ \ \ \ /+3\n\n9a-3+3=4a-3+3\n\n9a=4a\ \ \ \ /-4a\n\n9a-4a=4a-4a\n\n5a=0\ \ \ \ /:5\n\n5a:5=0:5\n\na=0$

Ok so => 8a + a -3 = 6a -2a -3
9a - 3 = 4a -3
-3 on both sides is gone so 9a = 4a
9a - 4a =0 => 5a = 0 so a=0

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