Miller School has 2 boys for every 3 girls in the fifth grade. There are 120 students in the fifth grade. How many girls are there? How many boys are there?

Answers

Answer 1

Answer: $b-boys\ng-girls\n\n(b)/(g)=(2)/(3)\to b=(2)/(3)g\n\nb+g=120\to(2)/(3)g+g=120\n\n(2)/(3)g+(3)/(3)g=120\n\n(5)/(3)g=120\ \ \ \ \ /\cdot(3)/(5)\n\ng=72\n\nb=(2)/(3)\cdot72=2\cdot24=48\n\nAnswer:48\ boys\ and\ 72\ girls.$

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A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees.What is the value of x?

x =

Answers

The value of x in the circle is 58°

Secant and tangent intersection

when a secant and a tangent meets outsides of a circle, the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

51° = 1 / 2 (160 - x)

Therefore,

51 = 80 - x / 2

51 - 80 = - 1 /2 x

-29 = - 1 / 2 x

multiply both sides by -2

-29 × 2 = - 1 / 2 x × -2

x = 58

Therefore, the value of x is 58 degrees

learn more on secant and tangent here;brainly.com/question/14697178

Answer:

Step-by-step explanation:

just did it on edg

The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap. What is an expression equivalent to 4d - 4?

Answers

Answer:

The equivalent expression for $4d-4$ is $4(d-1)$

Step-by-step explanation:

The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.

To get equivalent expression we factor the expression 4d-4

Greatest common factor is 4

Factor out 4 from the expression 4d-4

when we factor out 4, we divide each term by 4

$4d-4$

$4(d-1)$

The equivalent expression for $4d-4$ is $4(d-1)$

Answer:

-4 + 4 $(1)/(4)$ d

Step-by-step explanation:

Here is a problem from way back from my bro's math (elementary)3 cats eat 3 cats in 3 minutes
how long does it take for 100 cats to eat 100 fish?

show all work

(hint: answer is not 100 minutes, and if you answer 100 minutes you are wrong and will be reported)

Answers

3 cats -------------- 3 fish -------------3 minutes
100 cats------------100 fish ----------- x

The cats and fish are variables directly proportional, the cats and the time are varibles inversely proportional,
Therefore,

3 cats * 100 fish * x=100 cats * 3 fish * 3 minutes
x=(100 cats * 3 fish * 3 minutes) / (3 cats * 100 fish)
x=3 minutes.

Answer: the time will be 3 minutes.

You work at a fruit market. Bananas cost 50¢ a pound. A customer hands you a bunch of bananas that weighs 3 pounds. How much should you charge for the bunch of bananas?

Answers

Cost per pound: 50 ¢.
Weight: 3 pounds

Total cost: 3x50 = 150 ¢

You should charge $1.50 because 1lb = 50cents. 3lb = $1.50.

Given two sides with lengths 34 and 14, which of these lengths would NOT work for the third side of a triangle? 18, 34, 44, 22, 40

Answers

Two sides are 34 and 14.

The third side can't be longer than (34 + 14) = 48, because the 34 and the 14
together could not reach from one end of it to the other.

The third side also can't be shorter than 20, because the 20 and the 14 together
could not reach from one end of the 34 to the other.

So 18 doesn't work. (18 + 14) = 32 ... they couldn't cover the 34 .

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