Dennis has less than 70 min. to spend on some homework questions. He spent 10 min. on the first two questions. The rest of the questions will take 52 min. each.

Which statement describes the solution to this inequality?

Drag and drop the answer into the box.

Answers

Answer 1

Answer:

A. Dennis can complete less than 24 questions.

Step-by-step explanation:

Let x represent the remaining number of questions to be completed.  He can complete each of them in 5/2 minutes each; this gives us the expression 5/2x.

He has already spent 10 minutes; this gives us 5/2x+10.

He has less than 70 minutes to spend; this gives us the inequality

5/2x+10<70

Subtract 10 from each side:

5/2x+10-10 < 70-10

5/2x < 60

Divide both sides by 5/2:

5/2x÷5/2 < 60÷5/2

x < 60/1 ÷ 5/2

To divide fractions, flip the second one and multiply:

x < 60/1 × 2/5

x < 120/5

x < 24

Answer 2

Answer:

Dennis can complete fewer than 24 questions.

Step-by-step explanation:

Dennis Has Less Than 70 Min. To Spend On Some Homework Questions. He Spent 10 Min. On The First Two Questions.

Related Questions

Complete the solution of the equation. Find the
value of y when x equals 15.
-x + 2y = -1

Answers

The answer is y = 7

Write the fraction as a decimal.

16/5

Answers

Answer:

3.2

Step-by-step explanation:

HELP ASAP ILL GIVE BRAINLIEST!!!

At the park, 3/5 of the space is for the playground equipment . Of that space. 1/4 is used for swings. What fraction of the park is used for swings?
3/20

1/5

1/3

4/9

Answers

Answer:

1/5 is ur answer

Step-by-step explanation:

Which trigonometric functions have a domain of [–1, 1]?

Answers

Answer:

A. y = arcsinx and y = arccosx

Step-by-step explanation:

edge

The trigonometric functions have a domain of [–1, 1] is sine and cosine function.

What is Domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

From the given identity, the following things can be interpreted:

cos²x = 1- sin² x

cos x = √(1- sin2x)

Since the cosine function is known to be defined for real numbers, the value contained within the root is always positive. Therefore,

1- sin²x ≥ 0

sin²x ≤ 1

sin x ∈ [-1, 1]

Similarly,

1- cos²x ≥ 0

cos²x ≤1

cos x ∈ [-1,1]

Learn more about Domain here:

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Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO

Answers

Answer:

zeros of the function are −2 and 3

Step-by-step explanation:

there is no -2 so H.3

the answer is a. 6...........

PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?

Question 1 options:

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

The answer would be:

8 and -1/8

1 and -1

And could be 0 and undefined, but I'm not 100% sure

what is the slope for (1,3) and (1,-2)

Answers

Answer:

-6

Step-by-step explanation:

-2-3/1-1

help in the next 2 mins!!! -4+7-3

Answers

your answer is 0 your welcome

Answer:

0

Step-by-step explanation:

-4+7-3=0

-4+7=3

3-3=0

Answer is 0

Susan answered 60% of the test questions correctly. She answered
21 questions correctly. How many questions were on the test?
A. 12.6
B. 56
C. 35
D. 21

Answers

C-35

Times 21 by 100 and divide by 60. (Use the is/of=%/100 method)

Alexa bought 25 pounds of turkey for $26.25. What is the cost per
pound?

Answers

Answer:

$1.05 Per Pound

Step-by-step explanation:

Answer: $1.05/pound

Step-by-step explanation:

$26.25 / 25 = $1.05

percent change of 14 books to 40 books

Answers

Answer:

185.714285714%

A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%

36 percent sorry if I’m wrong but pls mark me brainleast

A stray dog ate 30 of your muffins. That was 5/7 of all of them! How many are left?

Answers

Answer:

42

Step-by-step explanation:

5/7x=30

x=42

Answer:

40

Step-by-step explanation:

WILL MARK AS BRAINLIEST

Answers

Answer:

C!

Step-by-step explanation:

I Got it correct! I hope you have a wondeful weekend and Day!!!

Can you help me please

Answers

Answer:

f(-4)=3(4)^2-5(4)

16*3-20

48-20

f(-4)=28

North and South had conflict over which of the following? (lol I accidentally put this as math but it's HISTORY)

A. Slavery

B. Tariffs

C. States' Rights

D. All of the above

Answers

Answer: I think D

Step-by-step explanation: I know slavery and states rights but i don’t know about the b one

Answer: All of the above

Step-by-step explanation: The south wanted slavery, lower or no tariffs, and individualized states writes. On the other hand, the north wanted no slavery, tariffs, and a central government.

Graph a line through (2,-5) and have a slope of -4

Answers

im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?

The weight of 100 identical samples of a substance is 0.01 pounds.
What is the weight of 10,000 samples?

Answers

0.01/100 = 0.0001 x 1000 = 0.1lb

A submarine dived 172 ft and 4 minutes find the average change in depth from the submarine each minute

Answers

Answer:

43 ft per minute

Step-by-step explanation:

divide 172 by 4 to get the feet per 1 minute

Answer the questions below. Write your answers in simplest form.
(a) A square has a perimeter of 100 yd. What is the length of each side?
yd

Answers

Answer:

25 yds

Step-by-step explanation:

Since it is a square all sides are equal and there are 4 sides so you divide the perimeter, 100, by 4 to get 25 yds.

Question 13 (1 point)
A jug contains 74.1 ounces of fruit punch. If the punch is evenly distributed to six people, how
many ounces will each person get?
oz.
Blank 1:

Answers

Answer:

each person gets 12.35oz

Step-by-step explanation:

74.1

6

=12.35

Answer:

12.35 oz

Step-by-step explanation:

74.1 divided by 6 equals 12.35

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.

A tree diagram. Random student to studies for test is 0.6, and to does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.

The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher?

0.45
0.46
0.54
0.59

Answers

Answer:

.54

Step-by-step explanation:

The probability is 33%.

what is probability?

The probability is the measure of the likelihood of an event to happen.

Given:

Random student to studies for test is 0.6, and to does not study for test is 0.4.

Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45.

Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.

P(A) =55%

P(B)= 20%

60% of the students study.

So, the probability that a student studies, and gets B or higher is:

Probability =P(A) * 0.6

P= 55* 0.6

Probability = 33%

Hence, the probability is 33%

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what is the solution of the following? *
-4 = 16
Infinite solutions
no solution

Answers

Answer: no solution

Hope this helps and good luck :)

Step-by-step explanation:

solve for x.

12x/5=18

A.x = 43 1/5
B.x =7 1/2
C.x =-7 1/2

Answers

The answer is B. 7 1/2

The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?

Answers

Answer:girl use google

Step-by-step explanation:what

You rode your bike for 5 miles in 30 minutes.
If
you rode at the same rate, you would ride 12 miles in 80 minutes.
12
HINT:
5
30
O True
O False

Answers

it’s False, you’d have to divide the number of minutes by the miles to get how many minutes it took PER mile to ride your bike. 30/5 is 6 therefore it takes 6 minutes per mile. if you were to multiply 6 times 12 miles it would equal 72 minutes.

Can smoke please help me with this I need help I’ll give brainliest

Answers

Answer:

only one solution at x=0

Step-by-step explanation:

twelve increased by a number

Answers

Answer:

12+# OR 12+x

Step-by-step explanation:

Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.

W =15
2. Marlon buys 9 packs of hot dogs. There are 6 hot dogs in each pack. After
left over. How many hot dogs were eaten?

Answers

How many hot dogs were in each pack

write an equation for each description. solve for x

Answers

Answer:

x = 33

Step-by-step explanation:

Because of the little square we know the total angle is 90

24 + 2x = 90

-24

2x = 66

/2

x = 33

A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.

Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)

Part B: At time t, at what rate is the height of the dough decreasing with respect to time?

Answers

Answer:

a) dA/dt = 125,42 mm/min

b) dh/dt = - 1,78 mm/min

Step-by-step explanation:

The volume of the cylinder is:

V(c) = π*r²*h         ( r and h radius of the base and heigh respectively )

Then the surface area is: Area of the base : π*r²

Plus lateral area :  h*2*π*r

A(c) =  π*r² + 2*π*r*h

With the help of differentials we obtain:

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt        (1)

In this equation and at time t we know:

r = 18 mm        dr/dt = 2 mm/min      h = 8 mm    dh/dt = ??  

dA/dt = increasing rate of the surface area ( with respect to time)

To find dh/dt we know:

V(c) is constant, then

V(c) = π*r²*h     then   h = V(c) / π*r²

dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴

By subtitution of V(c)

dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴

dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴

dh/dt = - [2*h* dr/dt ] / r

dh/dt =  -  2*8*2 / 18    mm/min

dh/dt = - 1,78 mm/min

By subtitution in equation (1)

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt

dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )

dA/dt = 226,20 + 100,53 - 201,31

dA/dt = 125,42 mm/min

Following are solutions to the given points:

Formula:

Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]

[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]

Part A:  

Calculating the circular area of the surface:

[tex]\to A=\pi r^2\\\\[/tex]

So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]

Therefore

[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]

Part B:

[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]

Learn more:

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