2. Express as a unit rate.
a) Betty drives her car 150 km in 2 h.
150 km/2 =

Answers

Answer 1

Answer:

75 km per hour.

Step-by-step explanation:

150km/2hr divided by two is 75 km/hr


Related Questions

Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark's investment double before age 52? What will his investment be worth? What would Mark's investment be if he had invested at age 28?

Answers

Answer:

A.3times

B.$1214.68

Step-by-step Explanation

A

Using compound interest formula

A=P(1+I)^n

A is the amount

P is the principal=$300

I is the interest=0.06

n is the time ( between 52 and 16years)=36years

A=300(1+0.06)^36

A=$2444.175

Which means 300 would have become

$2444.175 which is 8 folds.

That means it would have doubled 3times(2×2×2) at age of 52.

B. The time would change to (52-28)=24

Using compound interest formula

A=300(1+0.06)^24

A=$1214.68

Therefore his investment would have been $1214.68.

Which statement about the angle measure is true

Answers

Answer:

D

Step-by-step explanation:

each angle of the triangle is 95° and the second angle has to be in alphabetical order

The true statement is ∠BAC + ∠ABC = 95°

What is an angle?

An angle is a figure formed by two rays or lines that share a common endpoint, called the vertex.

Angles can lie in a plane or be formed by the intersection of two planes or two curves. A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees.

Given is a figure, we need to find the correct answer from the option,

We know that,

The sum of two opposite interior angles of a triangle is equal to the measurement of the exterior angle.

Therefore,

∠BAC + ∠ABC = ∠ACD

∠BAC + ∠ABC = 95°

Hence, the true statement is ∠BAC + ∠ABC = 95°

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The line plot shows the number of bags of grapes,grouped by weight, to the nearest 1/8 pound. How many bags of grapes had a weight of 3/8 pound or less

Answers

Answer:

2.25 pounds

Step-by-step explanation:

The diagram showing the weight of bags with grapes is shown in the attached file below.

From the diagram; number of  bags of grapes that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is:

[tex]\dfrac{3}{8}[/tex] pounds  = 3

[tex]\dfrac{1}{4}[/tex] pounds = 4

[tex]\dfrac{1}{8}[/tex] pounds = 1

Thus; the total is = 3+4+1 = 8

However, The total weight of the grapes in the bag that had a weight of  [tex]\dfrac{3}{8}[/tex] pounds or less is :

= [tex]\dfrac{3}{8}(3) + \dfrac{1}{4}(4) + \dfrac{1}{8}(1)[/tex]

= [tex]\dfrac{9}{8} + 1 + \dfrac{1}{8}[/tex]

= [tex]\dfrac{9+8+1}{8}[/tex]

= [tex]\dfrac{18}{8}[/tex]

= 2.25 pounds

Leila and Jo are two of the partners in a business. Leila makes $4 in profits for every $5 that Jo makes. If Jo makes $60 profit, how much profit does Leila make?

Answers

Answer:

Leila would make a profit of $48

Step-by-step explanation:

~ Knowing that there is some sort of proportion that can be formed through Leila and Jo's profit, we could form even a proportionality to compute the profit Leila makes given jo's profit of $60 ~

If is is known that Leila: Jo, 4: 5, we could form such a proportion:

4                5       ⇒     where x - Leila's profit knowing Jo's profit of $60

x               60

Now let us solve for x, through cross multiplication:

5x = 60 * 4,

5x = 240,

x = profit of $48

Find the exact value of sin 300°.

Answers

Answer:

-0.86602540378 or -√3/2

for the data set 46, 31, 44, 35, 39, 43, 33, 41 what is the mean absolute deviation

Answers

Answer: i believe the answer is 39

Step-by-step explanation:

sum divided by the terms

Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 16 cups of coffee, the card had a $5 remaining balance. Write an equation for A(x),A(x), representing the amount money remaining on the card after buying xx cups of coffee.

Answers

Answer:

$45-$2.50xx

Step-by-step explanation:

Let first of all determine the original amount on the gift card as follows

amount utilized=$2.50*16=$40

balance left after utilizing $40=$5

original amount on the gift card=amount utilized+balance left=$40+$5=$45

if xx cups of coffee is purchased ,the amount utilized would be xx*$2.50

i.e $2.50xx

The equation for the amount left would total amount on the gift card minus the $2.50xx

equation for amount remaining =$45-$2.50xx

If the questioner has duplicated x,which means he or she meant just x

equation of the amount remaining would=$45-$2.50x

The center of the circle is (3,2). The circle passes through (7,6). What is the radius ?

Answers

Answer:

Step-by-step explanation:

i’m not sure but add them

Answer:

square root of 32

Step-by-step explanation:

you have to take center and the point it passes and solve them

A sample space consists of 80 separate events that are equally likely. What is the probability of each? A sample space consists of 80 separate events that are equally likely. What is the probability of each?

Answers

Answer:

1/80

Step-by-step explanation:

The probability of selecting each of the event in the sample space is; 1/80

How to Find the Probability?

We are given;

Sample Space = 80 separate events

Now, we are told that each event is equally likely to be selected.

Thus;

Probability of selecting each event = 1/80

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Which reason best describes why you can divide any number by 10 by moving the decimal point one place to the left?

1.Dividing a number by 10 is the same as subtracting the number ten times.

2. Dividing by 10 is the same as removing a zero.

3. Moving the decimal point left makes the number smaller.

4. Moving the decimal point one place to the left makes the number 1/10 of its original value.

Answers

4 is the answer

The next best is 3

two integers that multiply to 18 and add to -11

Answers

Answer:

-9 and 2

Step-by-step explanation:

State the slope and y-intercept of the graph of the equation y = 3x + 2

The slope is _________.

The y-intercept is ____________-

Answers

Slope 3
Intercept is 2

3x + 4 = 5x - 12; x = 8 true or false?

Answers

Answer:

True.

Step-by-step explanation:

To find out if the statement is true, just plug in 8 each time you see x.

3(8)+ 4 = 28

5(8) - 12 = 28

This proves the statement is true, x = 8.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

Answer: False

Step-by-step explanation:

3x + 4 =5x - 12

step1: get x by it self

you would get; 4 = 2x - 12

step2; make zero-pairs

you would get;   2x - 8

lastly; 8÷2=4x

Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all​ circles? Explain.

Answers

Answer:

1.) Circumference of circle A = 131.95 metre

2.) Circumference of circle B = 175.93 metre

3.) Yes. Radius is proportional to the circumference.

Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters

Circumference of a circle = 2πr

For circle A

Radius r = 21

Circumference = 2 × 3.143 × 21

Circumference = 131.95 metre

For circle B

Circumference = 2 × 3.143 × 28

Circumference = 175.93 metre

Is the relationship between the radius of a circle and the distance around the circle the same for all​ circles? YES

Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference

I'm am like, really serious. WHO THE FREAK IS JOE?

Answers

Answer: My momma of course

Step-by-step explanation:

What type of sequence is 0,12,24,36,48 geometric or arithmetic?

Answers

Answer:

Arithmetic

Step-by-step explanation:

Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!

Answer:

It is arithmetic because to get from one term to the next, you add 12, and in an arithmetic sequence, you add/subtract a common difference to get from one term to the next. Hope this helps!

Someone help me pleaseeee

Answers

Answer: x=44°

explanation: because the angles in a triangle add up to 180° and since the latter or whatever goes straight up it is 90° and the other angle is 46° so 180=90+46+x.

Subtract 90 from both sides of the = and it becomes 90=46+x.

Then you subtract 46 on both sides and you get 44=x

Mary's dog weighs 185 pounds. Her dog needs to lose between 9 and 15 pounds. Between what two percentages, rounded to the nearest whole numbers, should Mary's dog lose weight with respect to its current weight of 185 pounds. Select your answers from the drop-down lists.

Answers

Answer:

5-8% of the weight

Step-by-step explanation:

The dog needs to lose a weight within the values 9-15 pounds

To answer this question, what we just need to do is to know the percentage of 185 pounds that is 9 and the percentage of 185 pounds that is 15

The percentage decrease can be calculated using the formula;

(difference)/old value * 100%

For the 9 pound loss, we have ;

9/185 * 100% = 4.86 which is approximately 5%

For the 15 pound loss, we have;

15/185 * 100% = 8.11% which is approximately 8%

Thus, the dog is losing between 5-8% of its weight

What is 13 - 4 x = 1 - x?

Answers

Answer:

x=4

Step-by-step explanation

Answer:

x = 4

Explanation:                                                                                                                  

The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expect to succeed in a sample of 12 free-throws.


She simulated 25 samples of 12 free-throws where each free-throw had a 0.8, point, 8 probability of being a success.


Shruti counted how many free-throws were successes in each simulated sample. Here are her results:


Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Give your answer as either a fraction or a decimal.

Answers

Answer:

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that Shruti succeeds at any given free-throw is 80%, percent.

This means that [tex]p = 0.8[/tex]

Sample of 12 free throws:

This means that [tex]n = 12[/tex]

Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]

[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]

[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Answer:0.8

Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes

what is the answer of 24a-18b ​

Answers

Answer:

6(4a−3b)

Step-by-step explanation:

You have to factor out this expression, so i would recommend the UMBRELLA  method.

Answer:

6(4a-3b)

Step-by-step explanation:

This is the answer because

find what number is divisible by both 24 and 18. The answer there is 6So then you write an equation that would equal 24a-18bTherefore since 24a is part one of the equation you would do what times 6 equals 24a. 6 times 4a=24aSo place four a in the parenthesis. Then find out what times 6 = -18bThe answer to that is -3b because a negative times a positive is always positive. So your final answer is 6(4a-3b)

how do you write 2x - 2y = 8 in slope-intercept form ?

Answers

Answer:

y=x-4

Step-by-step explanation:

The general scaffold for the slope intercept form is y=mx+b, where m is the slope and b is the y intercept. You can rearrange the equation that you are given like this:

2x-2y=8

-2y=-2x+8

y=x-4

Hope this helps!

Answer:

Rearrange the equation so that it is written in slope intercept form:

y=mx+b.

2x+2y=8.

2y=−2x+8.

y=−x+4.

please help quickly !

Answers

Answer:

75-52.5 =x

Step-by-step explanation:

We know that the total amount they eat is 75

They eat 52.5 is acacia leaves.  The rest is other types of leaves

75 - 52.5 = other types of leaves

75-52.5 =x

if anyone know probability stuff pls help w this!!

Answers

Answer:

A - 9/34

B - 7/34

Step-by-step explanation:

A girl grabs a lollipop - 9/34 (Event A)

A boy grabs a fruit chew - 7/34 (Event B)

Because there are 34 possibilities in total....

Thanks!

If the point (a,1) lies on the line y = 3x - 5, what is the value of a?

Answers

Answer:

a = 2

Step-by-step explanation:

Note that a point uses (x , y).

y = 1

x = a

Plug in 1 for y in the equation, and a for x:

y = 3x - 5

1 = 3a - 5

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 5 to both sides:

1 (+5) = 3a - 5 (+5)

1 + 5 = 3a

6 = 3a

Next, divide 3 from both sides:

(6)/3 = (3a)/3

a = 6/3

a = 2

2 is your value for a.

~

easy geometric shapes question!

Answers

Answer:

Cylinder

Step-by-step explanation:

The given geometric shape is of a cylinder.

Answer:

Cylinder

Step-by-step explanation:

The shape will make a cylinder if put together.

You spin the spinner below once. What is the probability that the arrow will land on 3

Answers

Answer:

how many numbers are there and if there is more of the same number then that will be ur probability

Step-by-step explanation:

Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.

Answers

Answer:

48^2 =2304 < 2345 < 2401 = 49^2

=> Smallest number should be: 2401 - 2345 = 56

Hope this helps!

:)

Answer:

56

Step-by-step explanation:

sqrt(2345) = 48.425...

Nearest integer is 49

So, the nearest perfect is 49²

49² = 2401

To be added:

2401 - 2345

56

A company is designing a new cylindrical water bottle. The volume of the bottle will be 187 cmcubed. The height of the water bottle is 7.3 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answers

Answer:

2.86cm

Step-by-step explanation:

Step 1:

Data obtained from the question. This includes the following:

Volume (V) = 187cm3

Height (h) = 7.3cm

Pi (π) = 3.14

Radius (r) =..?

Step 2:

Determination of the radius of the cylindrical water bottle.

The radius of the cylindrical water bottle can be obtained as follow:

V = πr^2h

187 = 3.14 x r^2 x 7.3

Divide both side by 3.14 x 7.3

r^2 = 187 / (3.14 x 7.3)

Take the square root of both side

r = √[187 / (3.14 x 7.3)]

r = 2.86cm

Therefore, the radius of the cylindrical water bottle is 2.86cm

Which is the correct way to model the equation-+8 = 7x+(-8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative X-tiles and 7 positive unit tiles on the right side
VX

Answers

Answer:

Step-by-step explanation:

1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side

Answer:

the answer is c

Step-by-step explanation:

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