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d1i1m1o1n [39]
2 years ago
8

What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?

Mathematics
1 answer:
saw5 [17]2 years ago
8 0

Answer:

17:14 or 17 to 14

Step-by-step explanation:

since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14

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Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.
VLD [36.1K]

Answer:

Part 1) m

Part 2) m

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

m

arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)

substitute the values

arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°

m

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

m

substitute the values

m

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

m

substitute the values

m

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

m

substitute the values

m

m

3 0
3 years ago
Given f'(x) = (1 − x)(4 − x), determine the intervals on which f(x) is increasing or decreasing.
Sophie [7]
The critical points are at x = 1 and x = 4 giving you the intervals (-inf, 1), (1, 4) and (4, inf).

By substituting x values in these 3 intervals, you can see that f'(x) is positive in the first and third intervals and negative in the second interval.

This means that f(x) is increasing in the first and third intervals and decreasing in the second interval.

The answer is D.
8 0
3 years ago
Read 2 more answers
A triangle's area is given by the expression 3x2-x+12. The height is 6x. The base off the triangle is the quotient of the area a
patriot [66]
You have known the formula Length of base is la division of Area and a haft of the height.
So we have 3
(3 {x}^{2}  - x + 12) \div ( \frac{1}{2}  \times 6x)
or
(3 {x}^{2}  - x + 12) \div 3x
3 {x}^{2}  \div 3x +(  - x \div 3x) + 12 \div 3x
and
x -  \frac{1}{3}  +  \frac{4}{x}
have fun
6 0
2 years ago
You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
Mumz [18]
$1 = 3.70 rand

$450 is the same as 450 * $1, so multiply both sides of the conversion equation above by 450.

450 * $1 = 450 * 3.70 rand

$450 = 1665 rand
5 0
2 years ago
Is 19 2/9 a integer​
satela [25.4K]

Answer:No

Step-by-step explanation: Integers are whole numbers that can be positive or negatives no decimals or fractions.

3 0
3 years ago
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