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Rufina [12.5K]
2 years ago
11

There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th gra

ders with freckles to the total number of 6th graders?
A. 4:1
B. 1:3
C. 1:4
D. 3:1
Mathematics
2 answers:
Phantasy [73]2 years ago
8 0
A is the answer to the question


Irina-Kira [14]2 years ago
8 0
The answer is C.

32 times x = 8

x = 1/4

1/4 = 1:4

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Running at an average rate of 4 meters per second, a sprinter ran to the end of a track. The sprinter then jogged back to the st
yaroslaw [1]
<h2>Length of track is 168 meter</h2>

Step-by-step explanation:

Let l be the length of track.

Running speed = 4 m/s

Jogging speed = 2 m/s

Total time taken = 2 minutes 6 seconds. = 126 seconds

That is

            \frac{l}{4}+\frac{l}{2}=126\\\\0.75l=126\\\\l=168m

Length of track is 168 meter

5 0
3 years ago
Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), wh
Irina-Kira [14]

Answer:

2x+3

Step-by-step explanation:

if we need to find any polynomial factor you need to do

2x^2 +5x +3 is divided by the known factor x+1

if you have cas calculator

go to menu- algebra- factor -type the 2x^2 +5x +3

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4 0
2 years ago
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Find the length of the unknown side. Round your<br> answer to the nearest tenth.
Oliga [24]

Answer:

20

Step-by-step explanation:

25^2=15^2+x^2. x=20

3 0
3 years ago
What is the differentiation of (sin3x-cos4x)(tan6x+sec8x)
Ksenya-84 [330]

Answer:

expanded:

y = sin(4x)*sin(4x)*cos(3x)

need to use the product rule and chain rule

look at individual derivatives, use chain rule

d/dx sin(4x) = 4cos(4x)

d/dx cos(3x) = -3sin(3x)

put it together using product rule

dy/dx = 4cos(4x)*sin(4x)*cos(3x) + 4cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin(4x)*sin(4x)

simplify

dy/dx = 8cos(4x)*sin(4x)*cos(3x) - 3sin(3x)*sin2(4x)

answer is A.

Hope it helps friend request me and I'll accept xx:)

4 0
3 years ago
The radius of a circle is decreasing at a rate of 6.56.56, point, 5 meters per minute. At a certain instant, the radius is 12121
Ilia_Sergeevich [38]

Answer:

The rate of change of the area of the circle is  approximately -490.09 \ m^2/min.

Step-by-step explanation:

Given:

\frac{dr}{dt} = -6.5 \ m/min

radius r =12 \ m

We need to find the rate of change of the area of the circle at that instant.

Solution:

Now we know that;

Area of the circle is given by π times square of the radius.

framing in equation form we get;

A= \pi r^2

to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.

\frac{dA}{dt}=\frac{d(\pi r^2)}{dt}\\\\\frac{dA}{dt}= 2\pi r \frac{dr}{dt}

Substituting the given values we get;

\frac{dA}{dt}= 2\times \pi \times 12 \times -6.5\\\\\frac{dA}{dt}\approx -490.09 \ m^2/min

Hence The rate of change of the area of the circle is  approximately -490.09 \ m^2/min.

6 0
2 years ago
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