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3 years ago

Isaac is 3 years older than Rachael. In 4 years the sum of their ages will be 75. How old is Isaac now?

Mathematics

2 answers:

MatroZZZ [7]3 years ago

6 0

Answer:

36 years old

Step-by-step explanation:

let x = age of Rachael

2x+3 = current ages combined

[(2x+3)+4]+4 = 75

2x+11 = 75

2x = 75-11

2x = 64

x = 32

Rachel is 32 years old. Isaac is 3 years older, which is 35 years old.

Hope this helped! If you need any help, tell me in the comments.

IRINA_888 [86]3 years ago

4 0

I hope this clears it up. R is Rachaels age and I is Isaacs age. The first equation at the top represents that Isaac is 3 years older than Rachael. The second equation represents their combined ages in 4 years. Follow the arrows to see where I get my numbers and variables

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Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?

Stels [109]

Answer:

C) $P(E) = \frac{3}{6}$

The probability that Mae will roll an odd number

$P(E) = \frac{3}{6}$

Step-by-step explanation:

Step(i):-

Given that Mae has a number cube with 6 sides that are numbered 1 through 6.

n(S) = { 1,2,3,4,5,6,} = 6

Let 'E ' be the event of odd numbers

Mae will roll an odd number

n(E) = {1, 3, 5} = 3

Step(ii):-

The probability that Mae will roll an odd number

$P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}$

$P(E) = \frac{3}{6}$

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3 years ago

Can someone please give me the answer to this problem?

Alik [6]

X= 9/2, 15/2
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3 years ago

3(x 2) 11 is greater than 20

Allushta [10]

3(x+2)+11>20
minus 11 both sides
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3 years ago

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balu736 [363]

Answer:

Step-by-step explanation:

Range-find the largest number and subtract the smallest number from it

96-74

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Read 2 more answers

An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inche

nikklg [1K]

Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle. The trick here is to figure out what your triangle measures are as far as angles go. If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle. WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x. Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.

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3 years ago