7.24. If you walk for 45 minutes at a rate of 4 \mathrm{mph}$ and then run for 30 minutes at a rate of 10 mph, then how many miles have you gone at the end of one hour and 15 minutes? What was your average speed for the journey?

Answers

Answer 1

Answer:

The average speed for the journey is 6.4 mph.

Step-by-step explanation:

Given:

If you walk for 45 minutes at a rate of [tex]$4 \mathrm{mph}$[/tex] and then run for 30 minutes at a rate of [tex]$10 \mathrm{mph}$[/tex], then how many miles have you gone at the end of one hour and 15 minutes Find the average speed for the journey

Step 1 of 1

We can compute the walking distance and running distances separately, then add them.

You walk for 45 minutes, which is [tex]\frac{3}{4}$[/tex] hours, at a rate of [tex]$4 \mathrm{mph}$[/tex], so the walking distance is [tex](4 \mathrm{mph})\left(\frac{3}{4}\right.$ hours $)=3$[/tex] miles. You run for 30 minutes, which is [tex]\frac{1}{2}$ hour, at a rate of $10 \mathrm{mph}$[/tex], so the running distance is [tex]$(10 \mathrm{mph})\left(\frac{1}{2} h o u r\right)=5$[/tex] miles.

So the total distance you cover is 3+5=8 miles.

Now we can also compute the average speed for the journey.

You covered 8 miles in [tex]$\frac{5}{4}$[/tex] hours, so your average speed was

[tex]$$\begin{aligned}&\frac{8 \text { miles }}{\frac{5}{4} \text { hours }}=\frac{8}{\frac{5}{4}} \mathrm{mph} \\&\frac{32}{5} \mathrm{mph}=6.4 \mathrm{mph}\end{aligned}$$[/tex]

Answer 2

I would say It would be 6.4 mph

Related Questions

2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. e. 75 is what percent of 50?

Answers

Answer:

75 is 150% of 50!

150% because 100% = 50(1). x % =75(2)

Circle the correct option: A, B, C, or D.

4. Which of the following is equal to 1.5 kg?

A 150 g
B 15 g
C 1.5 g
D 1,500 g

Answers

Answer:

Option D

Step-by-step explanation:

1kg =1000g1.5kg = 1000 x 1.5 = 1,500g

Hope this helps.

Good luck ✅.

1,500g it’s the answer cuz i’m smart

ANSWER FAST AND PLS EXPLAINN

(05.04 MC)

An image of a rectangular pyramid is shown below:

A right rectangular pyramid is shown.

Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)

Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points)

Answers

Answer: A: SquareB: Triangle

Step-by-step explanation:

Aaaaaaaaaaaaaa. a a a a a a a a

19. Ken bought 8 markers and 20 pens. Each marker cost $2.45. He gave the cashier $100 and received $26 change. What was the cost of each pen?

Answers

Answer:
$2.28
Explanation:
2.45 multiplied by 8 is 19.6, 19.6 plus 26 is 45.6. 45.6 divided by 20 is 2.28

Answer:

Each pen costs $2.72

Step-by-step explanation:

100 - 26 = $74 spent total

8 x 2.45 = $19.60 spent on markers

74 - 19.60 = $54.40 spent on pens

54.40/20 = $2.72 per pen

What is each product?
a. (-6)(-9)
b. 28(-0.25)

A -54, -7
B 54 , 7
C 54, -7
D -54 , 7

Answers

Answer:

C 54, -7

Step-by-step explanation:

a. (-6)(-9) = 54

b. 28(-0.25) = -7

Answer: C 54, -7

The answer to your question is C

HELP PLEASE!!!!!! INCOMPLETE ANSWERS AND POINT STEALERS WILL BE REPORTED

Answers

Answer:

2nd answer

Step-by-step explanation:

Number 3 at least means that i includes 3 and above for example i want at least 3 apples that means you want 3 or more apples

Answer:

B the second one

Step-by-step explanation:

it is 3 or more and a filled hole means it includes 3 and more means going in to the positive way

PLEASEEEEE:
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%

1994 cost: $171.33 and 1995 cost: $201.59

Answers

Answer: It's 18%

Step-by-step explanation:

Answer:

118% so it is 18 %

Step-by-step explanation:

HELPPPPP: Garret drove 432 miles on 18 gallons of gas. Derrick drove 364 miles on 14 gallons of gas. Who has the better gas mileage?

Answers

Answer:

Derrick would be your answer.

it would be Derrick.

Simplify.
(x + 1) x 2

Answers

The answer is 2x + 2

Answer:

2x+2

Step-by-step explanation:

Open the bracket and multiply all terms in the bracket with the term out side the bracket

2*x +2*1

=2x+2

Hope it help

Please answer correctly and answer all 2 QUESTIONS!

IF you don't know the answer DON'T answer!!

I will mark brainliest so hurry up and get your 60 points ! ty

Answers

Answer:

check explanation

Step-by-step explanation:

The first one is (x+5, y-3) because the shape has moved 5 points to the right and 3 points down

For the second one, basically, you need to take the shape and move it two grid points to the right and four squares down

Hope this helps

1: right five down three

7.30. Julie wants to give a 45 -minute speech, and she speaks 120 words per minute. Her written notes contain 500 words per page. How many pages should she prepare?

Answers

Answer:

10.8 pages must be prepared

Step-by-step explanation:

We first have to figure out how many words Julie would be able to say in 45 minutes. Since she can say 120 words per minute, she can speak 120*45 or 5400 words total.

We also know that Julie can write 500 words per page. Since she has 5400 words total, she needs to prepare 10.8 pages total (5400 divided by 500). If you are looking for a whole number answer, Julie needs at least 11 pages to write her complete speech.

Answer:

The number of pages she should prepare is 10.8 pages.

Step-by-step explanation:

Given:

Julie wants to give a 45 -minute speech, and she speaks 120 words per minute.

Her written notes contain 500 words per page.

Find:

The number of pages she should prepare

Step 1 of 1

We will set up a conversion factor:

number of pages [tex]=(45$ minutes $) \cdot \frac{120 \text { words }}{1 \text { minutes }} \cdot \frac{1 \text { pages }}{500 \text { words }}$[/tex]

[tex]$$\begin{aligned}&=\frac{45 \cdot 120}{500} \text { pages } \\&=10.8 \text { pages. }\end{aligned}$$[/tex]

1 ACTIVITY: Estimating a Part
Work with a partner. Use a model to estimate the answer to each question.
d. What number is 6% of 30?

Answers

Answer:

1.8

Step-by-step explanation:

to find any percent of a number, multiply that number by the percent x.(the percentage is x/100 since percents are just fractions with a hidden denominator of 100), and 30*(6/100) is 18/10, which is just 1.8.

What number is 6% of 30?
Answer: 1.8

what is 3÷11=
A. 11/3
B. 3/11
C. 3/8
D. 8/3

Answers

Answer:

B. 3/11

Step-by-step explanation:

the division symbol: ÷ essentially is the same as /

if you replace ÷ with / its the same thing.

Answer:

my answer is B. 3/11

Step-by-step explanation:

which is =27.27%

pls if correct please mark me as Brainliest Answer please

I need an answer for number 8 really quick
help me, please!!!

Answers

Easy just divide the first two number by each other and you’ll bet the unit rate

1 Pound = $28.80/8P = $3.80

Therefore, the equation linking p and C is :

p=3.80C

Can someone help me answer this?
50 points if answered

Will give Brainliest if you explain how you got the answer

Answers

Answer:

D. 1/3

Explanation:

[tex]\sf A : \dfrac{2}{9}[/tex]

[tex]\sf C : \dfrac{7}{18}[/tex]

Calculate distance between A and C

[tex]\Longrightarrow \sf \dfrac{7}{18} - \dfrac{2}{9} = \dfrac{1}{6}[/tex]

There are 6 intervals between A to C

[tex]\sf \Longrightarrow each \ interval : \dfrac{1}{6} \div 6 = \dfrac{1}{36}[/tex]

Point B mark from A, there are 4 intervals:

[tex]\sf \Longrightarrow \dfrac{2}{9} + 4 \times \dfrac{1}{36} = \dfrac{1}{3}[/tex]

Or, Point B mark from C, there are 2 intervals:

[tex]\sf \Longrightarrow \dfrac{7}{18} - 2 \times \dfrac{1}{36} =\dfrac{1}{3}[/tex]

It’s D because it’s closest to 1/3 interval points

What is 280.0575 as a fraction

Answers

Answer...

[tex]280\frac{23}{400}[/tex]

Steps....

1) Rewrite the decimal number as a fraction with 1 in the denominator

2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by [tex]10^{4}[/tex] = 10000

3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25

4) Simplify the improper fraction!

please help 20 points

Answers

Answer:

5/6

Step-by-step explanation:

subtract 3 from 18 to get the present people.

Hello !
There is 3 people missing out of 18, so 15 students are present.
The ratio is [tex]\frac{15}{18}=\frac{5}{6}[/tex].

Have a nice day ;)

17. A chef mixed 4.85 lb of white rice with twice as many pounds of brown rice. She then cooked half the amount of the mixed rice. How many pounds of mixed rice did she cook? Give your answer correct to 2 decimal places.

Answers

---------------------------------------︵‿︵‿୨♡୧‿︵‿︵--------------------------------------

Answer:

14.55 lb

Step-by-step explanation:

Brown rice: 4.85 x 2 = 9.7 lb

Pounds of rice the chef cooked: 9.7 + 485 = 14.55

--------------------°✧° Pls mark me as °♡°(ꂧ ꁞ ꂧ)°♡° Brainliest °✧°--------------------

Answer: 7.275lbs

Explanation:
4.85x3 because one of white rice and double the brown rice
then you take that answer which is 14.55 and divide by 2 because she only cooked half the rice which gives you 7.275lbs.

What is the Cost Price?

Cost price: $60 and Loss: 12 1/2%

Answers

Answer, 60 and Loss =12½. The selling price or the S.P. is Rs. 45.:

Step-by-step explanation:

60 & lost 12 1/2 :))

2. GYMNASIUM You want to estimate the number of students in your school who think the gymnasium should be remodeled. You survey 12 students on the basketball team. Determine whether the sample is biased or unbiased. Explain. (Section 10.6)

Answers

Yes your going to get biased opinions and they would all say yes because they play basketball in the gym so obviously they want good things so they want it to be remodeled

It will be biased definitely because ur asking a sport focused group of students

What is the volume of the box if it is scaled down by a factor of 1/10?
V= 308 35/64

Answers

Answer:

explanation will answer.

Step-by-step explanation:

To convert this fraction to a decimal, just divide the numerator (35) by the denominator (64). So, 35 / 64 = 35 ÷ 64 = 0.546875. Approximated Values: 35 / 64 = 0.5 rounded to 1 significant figure. 35 / 64 = 0.55 rounded to 2 significant figures. 35 / 64 = 0.547 rounded to 3 significant figures.

Answer:

Step-by-step explanation:

In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.

Answers

Answer:

Step-by-step explanation:

We are given that the perpendicular bisector of side AB of ∆ABC intersects side BC at point D.

this means that side AE=BE.

Also, we could clear; ly observe that

ΔBED≅ΔAED

( since AE=BE, side ED common, ∠BED=∠AED

so by SAS congruency, the two triangles are congruent)

Now we are given that:

the perimeter of ∆ABC is 12 cm larger than the perimeter of ∆ACD.

i.e. AB+AC+BC=AC+AD+CD+12

AB+BC=AD+CD+12

as AD=BD

this means that AD+CD=BD+CD=BC

AB+BC=BC+12

AB=12

mark as brainliest

The perimeter of 40 cm. and lengths of two sides of ∆ABC where side AC is 10 cm gives;

The perimeter of ∆AEC is 25 centimeters

How can the perimeter of the formed ∆AEC be found?

Given:

AB = BC

AC = 10 cm.

The perimeter of ∆ABC = 40 cm.

Therefore;

∆ABC is an isosceles triangle

AB + BC + AC = 40

AB + AB + 10 = 40 by substitution property of equality

2 × AB = 40 - 10 = 30

AB = 30 ÷ 2 = 15

AB = BC = 15 cm.

Using the rule of cosines, we have;

10² = 15² + 15² - 2×15×15 × cos(A)

cos(A) = (15² + 15² - 10²) ÷ (2×15×15)

A = arccos (350 ÷ 450) ≈ 51.06°

<BED ≈ 180° - (90° + 51.06°) = 38.94°

DB = AB ÷ 2

Therefore;

DB = 15 ÷ 2 = 7.5

From the rule of sines, we have;

DE/sin(51.06°) = 7.5/sin(38.94°)

DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28

According to Pythagorean theorem, we have;

BE ≈ √(7.5² + 9.28²) ≈ 11.93

Similarly, we have;

AE ≈ √(7.5² + 9.28²) ≈ 11.93

EC ≈ 15 - 11.93 = 3.068

Perimeter of ∆AEC = AE + EC + AC

Which gives;

The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25

The perimeter of ∆AEC = 25 cm

Learn more about the rule of sines and cosines here:

https://brainly.com/question/4372174

#SPJ1

A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?

Answers

Answer:

Step-by-step explanation:

315/3

3miles=315cal

1mile = 105cal

105*10=1050cal

1,050
315 divided by 3 = 105
105 x 10 = 1,050

HEEEEELLLLPPPP 3 PLEAASSEEE

Answers

Step-by-step explanation:

1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function

2: Term

3: Sequence: I don't really know how to explain this besides it's literally the definition

4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation

5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)

6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)

It is not a function

PLEASE HELP!!!!!
The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of ∠B. Find the lengths of the sides of the triangle.

Answers

The answer is 3 units from the sides of the triangle

I got that the answer is three units

8.25 The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when it is full?

Answers

Answer:

125 cups

Step-by-step explanation:

36/100*x = 45

18/50*x = 45

18x = 2250

x = 125

Answer:

The amount of coffee the maker will hold when full be 125 cups.

Step-by-step explanation:

Given:

The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

To find:

Number of cups of coffee does it hold when it is full.

The formula used to calculate percentage is: (value/total value)×100%.

Step 1 of 1

Let the amount of coffee the maker will hold when full be x.

Then given the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.

Which implies:

[tex]$$\begin{gathered}\frac{36}{100} \times x=45 \\0.36 x=45 \\x=\frac{45}{0.36} \\x=125\end{gathered}$$[/tex]

Answers for #36,#38,#44,#48. thank you. please asap i need it for hw.

Answers

#36 is A # 38 I C #44 is D and # 48 is A

okay thank you so much

4. IN YOUR OWN WORDS How does the decimal point move when you rewrite a percent as a decimal and when you rewrite a decimal as a percent?

Answers

Answer:

The decimal point moves two places to the left when you rewrite the percentage as a decimal. When you rewrite the decimal as a percentage you move the decimal point two places to the right.

the decimal move 2 places to the left. for example if it was 62% itd be 62. but id move it to placed to the left so itd be .62 and for a decimal youd move it to the right 2 times so if it was .634 itd be 63.4 %

Simplify the expression. (Section 3.1) 47. 5 + 3.2n - 6 - 4.8n

Answers

Answer: -1-1.6n

Step-by-step explanation:

To simplify this expression, we combine the number terms, 5 and -6, to get -1. Then we combine the terms with n, to get -1.6n.

Our final answer is -1-1.6n

combine the like terms

1.Is 4/5 equivalent to 32/45?

2.Is 7/8 equivalent to 28/32?

3.Is 1/10 equivalent to 30/100?

4.Is 6/8 equivalent to 24/32?

5.Is 5/8 equivalent to 30/70?

6.Is 2/3 equivalent to 24/100?

7.Is 2/10 equivalent to 30/60?

8.Is 1/5 equivalent to 20/100?

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Answers

When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.