The approximate length of a
marathon race is 26 miles. The
approximate length of a half-
marathon race is 13 miles. Last
year, a runner ran 1 marathon
and 3 half-marathons. Which
expression represents the total
number of miles the runner ran in
these races?
a. (26 + 1) x (13 + 3)
b. (26 x 1) + (13 x 3)
c. (26 + 13) x (1 + 3)
d. (26 x 13) + (1 x 3)

Answers

Answer 1

Answer:

The answer is letter B

Step-by-step explanation:

We know obviously when you are multiplying (since it is how MANY he ran that we are multiplying to get total distance), you don't add 1 or 3 to the numbers. We also know he did not run the 26 mile course 13 times, so the only answer choice that is feasible and/or even remotely correct would be B.


Related Questions

Harley invested $6,300 into an account that earns 3.5% simple interest. What is the total balance of the account after 5 years

Answers

Answer:

$7402.50 I think

Step-by-step explanation:

3.5(5)= 17.5 percent

175/1000* 6300= 17.5*63= 1102.5

6300+ 1102.5=  7402.5

if my answer helps please mark as brainliest.

Compare the original trapezoid and the enlarged trapezoid.

Trapezoid A B C D has side lengths 4 centimeters, 2 centimeters, 5 centimeters, 2 centimeters. Trapezoid W X Y Z has side lengths 10 centimeters, 5 centimeters, 12.5 centimeters, 5 centimeters.

What is the perimeter of trapezoid ABCD?


What is the perimeter of trapezoid WXYZ?


What is the scale factor for this enlargement?

Answers

Answer:

13, 32.5, 2.5

Step-by-step explanation:

Answer:

The answer is in the photo

Step-by-step explanation:

Solve the equation.
n+75=105

Answers

Answer:

n = 30....................

Answer:

30

Step-by-step explanation:

n+75=105

We move all terms to the left:

n+75-(105)=0

We add all the numbers together, and all the variables

n-30=0

We move all terms containing n to the left, all other terms to the right

n=30

What is the area of the rectangle above?
A.
72 square units
B.
66 square units
C.
17 square units
D.
34 square units

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

helpppppppppppppppppp

Answers

Answer:

19 units, left

Step-by-step explanation:

You can use a graphing tool or create a graph to show how these lines relate to one another. Then, count the units that have been translated and where the translation occurred.

A drug made by a pharmaceutical company comes in tablet form. Each tablet is branded as containing 105 mg of the particular active chemical. However, variation in manufacturing results in the actual amount of the active chemical in each tablet following a normal distribution with mean 105 mg and standard deviation 1.513 mg.
A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.
B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.

Answers

Answer:

a) 25.46% of tablets will contain less than 104 mg of the active chemical.

b) 0.52% of samples will have a sample mean of less than 104 mg of the active chemical.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normal distribution with mean 105 mg and standard deviation 1.513 mg.

This means that [tex]\mu = 105, \sigma = 1.513[/tex]

A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.

The proportion is the pvalue of Z when X = 104. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{104 - 105}{1.513}[/tex]

[tex]Z = -0.66[/tex]

[tex]Z = -0.66[/tex] has a pvalue of 0.2546

0.2545*100 = 25.46

25.46% of tablets will contain less than 104 mg of the active chemical.

B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.

Sample means from samples of 15. So, by the Central Limit Theorem:

[tex]n = 15, s = \frac{1.513}{\sqrt{15}} = 0.39[/tex]

The proportion is the pvalue of Z when X = 104. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{104 - 105}{0.39}[/tex]

[tex]Z = -2.56[/tex]

[tex]Z = -2.56[/tex] has a pvalue of 0.0052

0.0052*100 = 0.52

0.52% of samples will have a sample mean of less than 104 mg of the active chemical.

On each request the ith of n possible books is the one chosen with probability pi. To make it quicker to find the book the next time, the librarian moves the book to the left end of the shelf. Define the state at any time to be the sequence of books we see as we examine the shelf from left to right. Since all the books are distinct this list is a permutation of the set


{1, 2,... n}, i.e., each number is listed exactly once. Show that Ï(i1,... in)= pi1. pi^2/1-pi_1 . pi^3/1-pi_1- pi_2 ........ pi^n/1-pi_1- pi_2.....pi_n is a stationary distribution.

Answers

Answer:

attached below

Step-by-step explanation:

loops have permutations , steps to  show that the given set of permutations is a stationary distribution is attached below

What's the variable of x?​

Answers

Step-by-step explanation:

in right angled triangle ;

hypotenuse² =( side 1)² +(side 2)²

(65)²=(25)² +(x)²

4225 = 625 + (x)²

4225 - 625 = x²

3580 = x²

59.83 = x

Write the log equation as an exponential equation. You do not need to solve for x.
In (4x + 8) = 2 + 5
HELP

Answers

the answer is - 1/4

can someone go to my profile and answer my recent questions ty

Answers

1) Silk Road 2) Increase of trading

4x + 8y= -8
X= -2y + 1

Answers

Answer:

Step-by-step explanation:

What is the image of the point (-2,7) after a rotation of 180° counterclockwise
about the origin?

Answers

The answer to the question is that question i was the first one in eyesight

180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.

Given a point let's say A(-2,7)

If we rotate any point on coordinate geometry by 180 degrees about the origin then the horizontal and vertical distinctions will remain the same but the sign will change as shown below.

A(-2,7) ← Second quadrent

A'(2,-7) → Fourth quadrant

Hence "180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7)".

For more about coordinates,

brainly.com/question/7869125

#SPJ5

a paper popcorn cone measures 4 inches in a diameter and is 9 inches high?

Answers

Explanation is in the file

tinyurl.com/wtjfavyw

Answer:

A

Step-by-step explanation:

Bc I said

$17.99
with an
11.25% tax

Answers

Answer:

your final price is 19.02

your ta rate is 5.75

Step-by-step explanation:

your

Please help I urgently need it, I’ll give brainliest to whoever answers and 20 points!

Answers

Answer:

92.3

Step-by-step explanation:

Home to gas station: (0,0) to (6,2) = 6.3

Gas station to friends house: (6,2) to (4,-7) = 9.2

Freinds house to movie theatre: (4,-7) to (-7,-3) = 11.7

Movie theatre to ice cream: (-7,-3) to (-8,2) = 5.1

Ice cream to park: (-8,2) to (7,7) = 15.8

Park to friends house: (7,7) to (4,-7) = 14.3

Friends house to grocery store: (4,-7) to (-4,8) = 17

Grocery store to home: (-4,8) to (0,0) = 8.9

Add them together =

If f(x) = −2x − 4 and g(x) = −2x + 2, which statement about the graphs of f and g is true?

A. g is a translation of f 6 units down.
B. g is a translation of f 2 units to the right.
C. g is a translation of f 2 units to the left.
D. g is a translation of f 6 units up.

Answers

Answer: D

Step-by-step explanation:

Help me please I really need help whoever answers this question first gets a thanks and that’s worth five points

Answers

Answer:

5 in.

Step-by-step explanation:

Ben is 12 years older than Ishaan. Ben and Ishaan first
met two years ago.
Three years ago, Ben was 4 times as
old as Ishaan.
How old is Ishaan now?

Answers

Answer:

I think ishaan is 13

Step-by-step expla

12-3*4=40+3=43=ben

40/4=10+3=13=ishaan

Which figure can be formed from the net?

Answers

Its the bottom left square.

A right triangle has one that measures 11 what is the other acute angle

Answers

Answer:

[tex]\huge\boxed{ 79\°}[/tex]

Step-by-step explanation:

A right triangle has angles of measure:

=> 11°

=> 90°

The unknown angle:

=> 180 - 90 - 11  [Interior angles in a triangle add up to 180 degrees.]

=> 79°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A. 10
B. 29
C. 8
D. 25

Answers

Answer:

10

i hope it will help you

AM/MB=CN/NB
18/12=3X/16
18•16=12•3X
3X=18•16/12
3X=288/12
3X=24
X=24/3
X=8

solve using elimination x-2y=12 and 5x+3y=-44 *

(4,8)
(-4,8)
(4,-8)
(-4,-8)

Answers

Step-by-step explanation:

( x-2y=12)5

5x-10y=60

- 5x+3y=-44

____________

13y=-104

y=-104/13

What is the sum of 3/10s and 5/100s
(Fractions)

Answers

Answer:

80/100

Step-by-step explanation:

this is simplified ones

8/10

4/5

llus
Find the length of arc RS. Use 3.14 for .
Round to the nearest tenth.
Р
6.48 in
ie
739
1500 650

Answers

Answer: 16.96 in

Step-by-step explanation:

Answer:

it’s 17

Step-by-step explanation:

A random sample of students were surveyed as to how much non-school screen time

they had each week (for purposes of the survey, screen time was defined as: time

spent online, on social media, watching TV, or playing video games) and if their grade

average was above or below 80.

Screen Time

above below

8

8

less than 4 hours

18

16

4-8 hours

20

16

8-12 hours

11

17

more than 12 hours

What percent of the students who spend 4-8 hours a week on screens reported a

grade average above 802 Round your answer to the nearest tenth of a percent.

Answers

Answer:

the answer is 25 .

Step-by-step explanation:

Work out the difference between 77.5 and 2.27.

Answers

Answer:

75.23 is the answer for 77.5-2.27

Suppose that 50% of thoses take their drivers test passed on the first attempt. A random sample of N=100 people taking the exam for the first time will be selected. If p-hat are is the proportion in the sample that pass the exam in the first attempt, what are the mean and standards deviation of the sample distribution of p-hat

Answers

I’m not sure what the answer is but I hope someone helps you.

Kamran wins the big game lottery. He invests part of his winnings in treasury bonds promising a 5% annual return and he deposits the rest in a money market account which promises a 3.75% annual yield. He invests $5000 more in treasury bonds than he deposits in the money market account. If the annual return on his investments is $661.25 how much did Kamran win?

Answers

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

A restaurant has an all you can eat buffet.
They charge $13.95 per person. Is it proportional?

Answers

Answer:

No

Step-by-step explanation:

You could eat a lot or a little it would still cost $13.95 a person.  The price is not proportional to the amount of food that one eats

In ASTU, S = 360 cm, t = 110 cm and u=450 cm. Find the measure of ZU to the
nearest 10th of a degree.

Answers

Answer:140.1

Step-by-step explanation:

Answer:

140.1

Step-by-step explanation:

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