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3 years ago

Mr. Adams has 14 boys and 8 girls in his mathematics class. If he chooses

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Answer:

it is more likely that both of the students will be boys because there are 14 boys and 8 girls. 14 is greater than 8. So, both of the students that are chosen will be boys,

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A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16

maw [93]

Answer:

Step-by-step explanation:

First we need to factorize the given area of the rectangle as shown;

Given

A(x) = x^2-10x+16

Factorize

A(x) = x²-8x-2x+16

A(x) = (x²-8x)-(2x+16)

A(x) = x(x-8)-2(x-8)

A(x) = (x-2)(x-8)

Since area of a rectangle = length ×width

Hence the binomial that represents the width of the pool is w(x) = x-2

b) If the width of the deck is 17feet

Width = x-2

17 = x-2

x = 17+2

x = 19feet

Get the length

Length = x-8

Length = 19-8

Length = 11

Get the perimeter

P = 2(L+W)

P = 2(17+11)

P =2(28)

P = 56feet

Perimeter of the deck is 56feet

8 0

3 years ago

At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ral

Nezavi [6.7K]

Answer:

24 minutes

Step-by-step explanation:

Given:

Distance per lap = 2 miles

Speed of Lou Lambert = 160 miles/hr

Speed of Ralph Redding = 170 miles/hr

Speed difference between the two = 170 - 160 = 10 miles/hr

Therefore, we can say that Ralph gains 10 miles in 60 minutes over Lou.

We have to find the time in which Ralph will gain 2 laps i.e. 2 $\times$ 2 = 4 miles.

Let us use unitary method to find the required time.

10 miles are gained by Ralph in 60 minutes

1 mile will be gained in $\frac{60}{10} = 6\ minutes$

4 miles will be gained in 6 $\times$ 4 = 24 minutes

7 0

3 years ago

If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY? A) 120° B) 130° C) 140° D) 150°

dybincka [34]

The picture in the attached figure

we have
arc XV = 68°∠YUV = 36°
we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2

arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°

the answer is
the measure of arc VY is 140°

6 0

3 years ago

A bike and skate shop rents bike for $21 per day and pairs of skates for $20 per day. To remain viable, the shop needs to make a

Leya [2.2K]

Let the number of bike be x and the number of skates be y, then
21x + 20y ≥ 362 . . . (1)
2y = x . . . (2)

Putting (2) into (1), then
21(2y) + 20y ≥ 362
42y + 20y ≥ 362
62y ≥ 362
y ≥ 5.84

The least number of pairs of skates they need to rent each day to make their minimum is 6.

7 0

3 years ago

H(t) = 3t2 + 4t

Anarel [89]

Answer:

first we need to substitute g(t) value in h(t) value and then evaluate the expression as follows :

h(g(t))=3(t-1)²+4(t-1).

by solving

h(g(t))=3(t²+1-2t)+4t-4

h(g(t))=3t²-2t-1 will.be the final answer

7 0

2 years ago