Please Help Me With These Problems!!
4. The front wheels on DeMarius’ car are divided into sectors of equal area. The radius of each wheel is 8 inches. The area painted blue is twice the area painted green. The area painted green is half the area painted red. What is the area painted red on one of the front wheels? Round your answer to the nearest hundredth.

5. The rear wheels of DeMarius’ car complete 4/5 of a rotation for every full rotation of a front wheel. What is the radius, in feet, of a rear wheel on the car? Write your answer as a simplified fraction.

6. DeMarius’ original design for his car used rear wheels with a radius of 12 inches. What is the measure of the central angle of this rear wheel such that the arc length is equivalent to that of a full rotation of the rear wheel that is actually used on DeMarius’ car?

Answers

Answer 1

The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².

How to calculate the area?

From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:

= 2/5 × πr²

= 0.4 × 3.14 × 8²

= 80.42 inches²

The radius, in feet, of a rear wheel on the car will be:

r1(2π) = r2(2π)

8(2π) = r2(8/5)(2π)

16 = r2(8/5)

r = 5/8 × 16

r = 10 inches

r = (5/6) feet

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Related Questions

What is the least common denominator of 1/6 and 11/12?

Answers

Answer:

12

Step-by-step explanation:

1/6  = 2/12     11/12 = 11/12

Answer:

12

Step-by-step explanation:

6 =3×2

12=3×2×2

Least common denominator = 3×2×2 = 12

What is the y-intercept of the equation y = 1.5x – 4.5?

Answers

Answer:

The y-intercept is (0,-3

Step-by-step explanation:

Y=mx+bY= 1.5x-4.5So (0,-3) is the y-intercept.

Step-by-step explanation:

to find the y intercept you simply equate x to 0. therefore, the y intercept is -4.5

and its coordinate is:

(0, -4.5)

MR. Benet feeds his dog 1/2 of a cup of dog food each day. How long will 9 cups of dog food last?

Answers

Answer:

18 days

Step-by-step explanation:

since 1/2 is half, u will multiple 9 by 2 to get 18 days !

The Jones family plans a trip to the amusement park and purchase a family package for $128.00. They also want to but lunch and souvenir cups. The chicken platter costs $8.50 each and the burger platter costs $9.50 each. The souvenir cups each costs $100.00, which includes unlimited refills. Mr. and Mrs. Jones have a budget and are trying to decide who will order which platter and who will buy a souvenir cup. Let x represent the number of chicken platters, y represents the number of burger platters, and z represent the number of souvenir cups.

Answers

Answer:

128+8.50x+9.50y+10z

What is the volume of the cylinder shown below?Use 3.14 as an approximation for π.





A. 314 in³
B. 1,256 in³
C. 5,024 in³
D. 5,625 in³

Answers

Find the area of the circle ( top)

Area = Pi x r^2 = 3.14 x 8^2 = 3.14 x 64 = 200.96 square inches.

Volume = area of top x height

Volume = 200.96 x 25 = 5,024 in^3

Answer: C. 5,024 in^3

Answer:

C

Step-by-step explanation:

The cumulative frequency diagram shows information about the ages of employees in two companies.
Work out the IQR for both companies and compare them.
Explain your answer in the comment box.

Answers

Answer:

Company A = 35 Company B = 45

Step-by-step explanation:

70x3/4 = 52.5

70x1/4 = 17.5

52.5 - 17.5 = 35

90x1/4 = 22.5

90x3/4 = 67.5

67.5 - 22.5 = 45

Hence, Company A = [tex]35[/tex] and  Company B = [tex]45[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

The cumulative frequency diagram shows information about the ages of employees in two companies. Work out the IQR for both companies and compare them.

So, For the Company A

[tex]70[/tex]×[tex](\frac{3}{4})\\[/tex]

[tex]=70[/tex]×[tex](0.75)\\[/tex]

[tex]=52.5[/tex]

[tex]70[/tex]×[tex]\frac{1}{4}\\[/tex]

[tex]= 70[/tex]×[tex](0.25)\\[/tex]

[tex]=17.5[/tex]

So,

[tex]52.5- 17.5 = 35[/tex]

So, Company A is [tex]35[/tex].

For Company B,

[tex]90[/tex]×[tex]0.25 = 22.5[/tex]

[tex]90[/tex]×[tex]\frac{3}{4} = 67.5[/tex]

Then,

[tex]67.5 - 22.5 = 45[/tex]

So Company B is [tex]45[/tex].

Hence, Company A = [tex]35[/tex] and  Company B = [tex]45[/tex].

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Solve 5÷9v≤45. Graph the solution.

Answers

Hey there!


5÷9v ≤ 45

5/9v ≤ 45

MUTLPLY 9/5 to BOTH SIDES
5/9v * 9/5 ≤ 45 * 9/5

CANCEL out: 5/9 * 9/5 because it give you 1

KEEP: 45 * 9/5 because it help solve for what is being compared to the v-value

NEW EQUATION: v ≤ 45 * 9/5

SIMPLIFY IT!
v ≤ 81

It is a CLOSED circle shaded to the LEFT

Therefore, your answer is: v ≤ 81


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

If a quadratic has a maximum at (4, 2) with roots at (2,
0) and (6, 0), what is a possible equation?

Answers

Answer:

g(x) =  - 1/2 * (x^2 - 8x + 12)

Step-by-step explanation:

Given the information, you have provided.

Zeros: (2,0) and (6,0).

Maximum: (4,2) which is also your (h,k)

f(x) = - (x - 2)*(x - 6)

g(x) =  - 1/2 * (x^2 - 8x + 12)


I do not know how to explain this, but -1/2 makes the graph get (4,2) as the maximum.

The red graph is f(x) = - (x - 2)*(x - 6)

The blue graph is your answer g(x) =  - 1/2 * (x^2 - 8x + 12)

what is this for 2nd grade math. 247+?=673

Answers

Answer:

426

Step-by-step explanation:

Subtract 247 from 673 to get 426

Answer:

426

Step-by-step explanation:

673

-247

_____

426

Solve this thing pls
[tex]3\left(q-7\right)=27[/tex]

Answers

Answer:

Solution of equation ( q ) = 16

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of q .

Solution : -

[tex] \quad \: \longmapsto \: 3(q - 7) = 27[/tex]

Step 1 : Solving parenthesis :

[tex]\quad \: \longmapsto \:3q - 21 = 27[/tex]

Step 2 : Adding 21 on both sides :

[tex]\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21[/tex]

On further calculations we get :

[tex]\quad \: \longmapsto \:3q = 48[/tex]

Step 3 : Dividing by 3 from both sides :

[tex]\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }[/tex]

On further calculations we get :

[tex]\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}[/tex]

Therefore, solution of equation ( q ) is 16 .

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

3 ( q - 7 ) = 27

3 ( 16 - 7 ) = 27

3 ( 9 ) = 27

27 = 27

L.H.S = R.H.S

Hence, Verified.

Therefore, our solution is correct .

#Keep Learning

Answer:

The value of q is 16

[tex] \: [/tex]

Step-by-step explanation:

So here, a equation is given and we are asked to solve the equation.

[tex] \\ \dashrightarrow \sf \qquad3(q-7)=27 \\ \\ [/tex]

For this, we have to use the Distributive property, which is :

a(b + c) = ab + ac

[tex]\\ \dashrightarrow \sf \qquad3q-21=27 \\ \\ [/tex]

Transposing the constant term (-21) to the right side we get :

[tex]\\ \dashrightarrow \sf \qquad3q=27 + 21 \\ \\ [/tex]

Adding the like terms :

[tex] \\ \dashrightarrow \sf \qquad3q=48 \\ \\ [/tex]

Now, We'll divide both sides by 3 :

[tex] \\ \dashrightarrow \sf \qquad \frac{3q}{3} = \frac{48}{3} \\ \\ [/tex]

[tex]\dashrightarrow \bf \qquad \: q=16 \\ \\ [/tex]

Rewrite the expression using only positive exponents. Show your work.

Answers

[tex]5^{-12} \cdot 32^{-3} \cdot 9^{-15}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{32^3} \cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{(2^5)^3}\cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12} \cdot 2^{15} \cdot 9^{15} }\\\\\\=\dfrac 1{5^{12}\cdot 18^{15}}[/tex]

Answer:

[tex]\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]

Step-by-step explanation:

In this case, all the exponents are negative. To make them positive, take the term's reciprocal and change the exponents sign.

[tex]\implies 5^{-12} \times 32^{-3} \times 9^{-15}[/tex]

Changing the terms into it's reciprocal form:

[tex]\implies \dfrac{1}{5^{-12}} \times \dfrac{1}{32^{-3}} \times \dfrac{1}{9^{-15}}[/tex]

Changing the signs of the exponent:

[tex]\implies\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]

Which of these statements is true for f(x) = 3*2^x
A. The y-intercept is (0,1).
B. The domain is x > 0.
C. It is always decreasing.
D. The y-intercept is (0,3).

Answers

work it out you cheater lol

Please please help!!!!!!!!!

Find the length of the segment indicated.

A. 26.3
B. 11.8
C. 21.1

Answers

Answer: C

Step-by-step explanation:

Find the area of this triangle, round to the nearest 10th

Answers

Answer:

109.3 yard²

Step-by-step explanation:

Area of triangle = bh / 2

base is 23yd

height is 9.5yd

bh / 2 = 23 × 9.5 / 2

Area = 218.5 / 2

Area = 109.25 yd²; rounded to the nearest tenth is 109.3yd²

8. Which function is shown on the graph below?

Answers

Answer:

the answer is c

Step-by-step explanation:

-then+

Need help ASAP! Please

Answers

Answer:

1

Step-by-step explanation:

The Graph below shows the height h in feet of a ball t Second after it is thrown. The passes the ball is represented by the equation h=-t^2+8t please use the graph to answer the question what time is the ball increasing in height I will give BRAINLIEST

Answers

Slope: x=-1/3
Answer: 24’’

Increase a monthly salary of $2925 by 7.2%.​

Answers

Answer:

Step-by-step explanation:

2925+ 7.2% of 2925

2925+0.072*2925

2925+210.60

=$3135.60(increased salary)

Answer:

$3135.6

Step-by-step explanation:

A pond has a minnow population of 20000 that is increasing at a rate of 5%
per year. The minnows' algae food supply is decreasing so that it supports
750 less minnows each year. How is the population of minnows growing,
and how is the supply of algae declining?

Answers

20000x.05= 1000 added minnows per year, with the algae decline, we loose 750 minnows per year. 250 minnows are added every year. The rate 5% every year would be exponential growth, and the decline of 750 minnows per year is a result of a negative constant (not exponential decline.)

need help fast. please.

Answers

Answer:

octagon; not regular

Step-by-step explanation:

This shape is an octagon because it has 8 sides (hence "oct") and it is irregular because not all the sides are of equal length and it does not look like a regular octagon..

Hope this helps!

Answer:

octagon; non regular

Step-by-step explanation:

because it have unequal sides and unequal angles.

so, i' m doing my homework and i came across this question and i was confused...so can u please help me out, the person that gives me the MOST DESCRIBED answer will get Brainliest!! <3

Answers

Answer:

20 22 28 32 33 65 159

median =32

mean= 51.285714285

What is the volume of the triangular prism?

Answers

It would be A, 15cm3 because if you find tho e volume of the triangular face, you will get 3cm2. Then you multiply that my the length of the prism, and 5 x 3 is 15. Thus, 15cm2

Evaluate the measure x in the figure.

Answers

Answer:

125 degrees

Step-by-step explanation:

Assuming l and m parallel, 125= x

Can some help?! Please and thank you

Answers

Answer:

measure of angle EFG = 139°

measure of angle IFH = 49°

Since angles DEF and EFG are supplementary:

[tex]2x + 3 + 6x + 25 = 180[/tex]

[tex]8x + 28 = 180[/tex]

[tex]8x = 152[/tex]

[tex]x = 19[/tex]

So the measure of angle EFG is

6(19) + 25 = 114 + 25 = 139 degrees, and the measure of angle DFE is 41 degrees.

Angles DFE and GFH are vertical, so angle GFH measures 41 degrees.

Angles GFH and IFH are complementary, so angle IFH measures 49 degrees.

I WILL MARK BRAINLIEST
(The question is number 2)

Answers

Answer: A

Step-by-step explanation:

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y= 5x-3. What is the point- slope form of the equation for this line?

A y-13= 5(x-2)
B y+13= 5(x + 2)
C y-2=5(x - 13)
D y+2=5(x + 13)​

Answers

Answer:

B

Step-by-step explanation:

y-y1=m(x-x1)

y+13=5(x+2)

due today i need help pls

Answers

Answer:

rotation and enlargements

Step-by-step explanation:

triangle XYZ is rotated to make triangle GHI and triangle GHI is enlarged by a scale factor of around 2.6? to make triangle MNO then triangle MNO is rotated to make triangle EDF

Answer: The three systems that would be reasonable

ΔXYZ to ΔGHI is a Rotation

ΔGHI to ΔMNO is an Enlargement

ΔMNO to ΔDEF is a Reflection

Step-by-step explanation:

Which statement is true about the box plot? the youngest age is 7. it is skewed right. more of the children were close to 12 years old than 6 years old. half of the children were between 6 and 9 years old.

Answers

The statement that is true about the box plot is that More of the children were close to 12 years old than 6 years old.

What is box plot?

A box plot is known to be a kind of plot that shows at least five-number that acts as the summation of all the set of a given data.

Conclusively, in the case above, the box plot is said to be showing the a lot of children whose age are close to 12 years old more than those who are 6 years old.

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Answer:

The answer is C

Step-by-step explanation:

Find the mean of the following numbers:
12
1
10
9
3
4
9
7
9

Answers

Answer:

7.11

Step-by-step explanation:

You will add all of those numbers and divide them by the amount of numbers you added. And I rounded the answer to 2 decimal places, seeing that it is a recurring decimal.

Molly is studying two number patterns. Pattern A starts at 0 and has the rule "add 3." Pattern B starts at 0 and has the rule "add 6." What is the relationship between corresponding terms in the two patterns?

Answers

The relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have Pattern A starts at 0 and has the rule "add 3"

Pattern A:

0, 3, 6, 9, 12.....and so on

Pattern B starts at 0 and has the rule "add 6."

Pattern B:

0, 6, 12, 18, 24, 30.... and so one

In the pattern A we can find the nth term:

First term = 0, common difference = 3

A(n) = 0 + (n-1)3 = 3(n-1)

Similarly in the pattern B we can find the nth term

First term = 0, common difference = 6

B(n) = 0 + (n-1)6 = 6(n-1)

The relation can be derived between the nth term of pattern A and pattern B as follows:

B(n) = 2A(n)

Thus, the relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.

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