MATHEMATICS COLLEGE

In the sixth grade class at Madison Middle School, for every 6 students, 4 of them play at least one sport. If there are 270 students on the sixth grade class, how many of them play at least one sport? a) 39
b) 180
c) 11
d) 405​

Answers

Answer 1
Answer:

Answer:

B is the answer

Step-by-step explanation:

Because we can make 4/6 into 2/3 and 2/3 of 270 is 180

Related Questions

In Exercise 5.21, we learned that a Rasmussen Reports survey of 1,000 USadults found that 42% believe raising the minimum wage will help the economy. Construct a 99% confidence interval for the true proportion of US adults who believe this.
PLZ HELP ASAP CONGRUENCE
What is the reciprocal of 1/5?5/141/5
A steep mountain road has a grade of 8%, which means that the road rises 8 feet vertically for every 100 feet it travels horizontally. write the grade as a ratio in simplest form.
There are 16 boys and 12 girls in mr..harts science class. He wants to form as many groups as possible for a project. All the groups must be the same size, with the same number of boys and the same number of girls in each group. What is the greatest number of groups mr. Hart can make? How many boys and how many girls will be in each group?

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401​

Answers

length is
10.5
inches
width is
6.5
inches
Explanation:
Let length be
l

Let width be
w

Let perimeter be
P

First, we must construct an equation for these variables:
l
=
w
+
4

P
=
34

But, Perimeter of a rectangle
=
l
+
w
+
l
+
w

=
2
l
+
2
w

So:
34
=
2
l
+
2
w

But, since
l
=
w
+
4
, we can substitute for
l
, having only the
w
variable:
34
=
2
(
w
+
4
)
+
2
w

34
=
2
w
+
8
+
2
w

34
=
4
w
+
8

Solve for
w
:
4
w
=
34
−
8

4
w
=
26

w
=
26
4

w
=
6.5
inches
Now, we can substitute
6.5
for
w
in the Perimeter Equation:
34
=
2
l
+
2
w

becomes:
34
=
2
l
+
2
⋅
6.5

34
=
2
l
+
13

Solve for
l
:
2
l
=
34
−
13

2
l
=
21

l
=
21
2

l
=
10.5
inches
Thus, length is
10.5
inches
Thus, width is
6.5
inches

Answer: L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w - 6 )( w + 2 ) = 0

w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Step-by-step explanation:

A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answers

Answer:

Distance = 880ft

Step-by-step explanation:

Given

Speed = 20(miles)/(hour)

Time = 30\ seconds

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

Speed = (Distance)/(Time)

Make Distance the subject

Distance = Speed * Time

Distance = 20 miles/hour * 30 seconds

Convert seconds to hour

Distance = 20 miles/hour * (30)/(3600) hour

Distance = 20 miles * (30)/(3600)

Distance = (20 miles * 30)/(3600)

Distance = (600\ miles)/(3600)

Distance = (1)/(6) miles

Convert to foot

Distance = (1)/(6) * 5280\ ft

Distance = (1* 5280\ ft)/(6)

Distance = (5280\ ft)/(6)

Distance = 880ft

An inscribed angle is an angle formed by two radii that share an endpoint A) True
B)False

Answers

check the picture below.

notice, as from the left, we grab those two angles and slap them together on the right, they form a wide angle A, and a smaller inscribed angle B.

now, the blue and red segments that came together, are both making up the inscribed angle B, and also sharing the side or endpoint, in the middle of angle A.

A(2,9), B(4,k), and C(9, -12) are 3 collinear points.
Find the value of k.

Answers

Answer is   3

==========================================================

Explanation:

We're going to be using the slope formula a bunch of times.

Find the slope of the line through points A and C

m = (y2 - y1)/(x2 - x1)

m = (-12-9)/(9-2)

m = -21/7

m = -3

The slope of line AC is -3. The slopes of line AB and line BC must also be the same for points A,B,C to be collinear. The term collinear means all three points fall on the same straight line.

-------

Let's find the expression for the slope of line AB in terms of k

m = (y2 - y1)/(x2 - x1)

m = (k-9)/(4-2)

m = (k-9)/2

Set this equal to the desired slope -3 and solve for k

(k-9)/2 = -3

k-9 = 2*(-3) ..... multiply both sides by 2

k-9 = -6

k = -6+9 .... add 9 to both sides

k = 3

If k = 3, then B(4,k) updates to B(4,3)

-------

Let's find the slope of the line through A(2,9) and B(4,3)

m = (y2 - y1)/(x2 - x1)

m = (3-9)/(4-2)

m = -6/2

m = -3 we get the proper slope value

Finally let's check to see if line BC also has slope -3

m = (y2 - y1)/(x2 - x1)

m = (-12-3)/(9-4)

m = -15/5

m = -3 we get the same value as well

Since we have found lines AB, BC and AC all have slope -3, we have proven that A,B,C fall on the same straight line. Therefore, this shows A,B,C are collinear.

WILL BE MARKED BRAINLYESTRay OJ bisects Angle LOK.

Measurement of Angle LOK = 82 degrees.

Solve for x.

Answers

Answer:

x = 14

Step-by-step explanation:

<LOJ = 3x

<KOJ = (2x + 12)°

<LOK = 82°

m<LOJ + m<KOJ = m<LOK (angle addition postulate)

3x + 2x + 12 = 82 (substitution)

5x + 12 = 82

5x = 82 - 12 (Subtraction property of equality)

5x = 70

x = 70/5 (division property of equality)

x = 14

WILL GIVE MOST BRAINIESTWhich of the following functions best describes this graph?
A. y (x + 4) (x + 5)

Answers

Answer:

D. y =

Step-by-step explanation:

The solutions to this graph (meaning when y equals 0 or when the graph crosses the x-axis) are 4 and 5.

The only answer choice that has the solutions 4 and 5 when you factor it out is D.

Here's the proof:

x^(2) -9x + 20

Factors of 20: - 5 & -4

Sums that add up to -9: -5 + (-4)

x^(2) -4x-5x+20

(factor the first two terms and the last two terms separately)

(x^(2)-4x)(-5x+20)

x(x-4) -5(x-4)

(x - 5) (x - 4)

Hope it helps (●'◡'●)
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A university administrator obtains a sample of the academic records of past and present scholarship athletes at the university. The administrator reports that no significant difference was found in the mean GPA (grade point average) for male and female scholarship athletes ( P = 0.287 ) . This means that: a. the maximum difference in GPAs between male and female scholarship athletes is 0.287. b. the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287. c. the GPAs for male and female scholarship athletes are identical, except for 28.7% of the athletes. d. the chance that a pair of randomly chosen male and female scholarship athletes would have a significant difference in GPAs is 0.287.