Marcus rode his bike 60 miles in 4 hours. Marcus thinks that in order to find the unit rate, he should determine how far he rode his bike in 2 hour(s). Is Marcus correct?

Answer:

x = 9

y = 13

Step-by-step explanation:

Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).

Therefore, GH = PM  ⇒  7x + 8 = 6y - 7

and,            GP = HM  ⇒  8x - 10 = 5y - 3

Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:

         GH = PM  

⇒  7x + 8 = 6y - 7

⇒        7x = 6y - 15

⇒           x = (6/7)y - 15/7

Substituting  x = (6/7)y - 15/7  into GP = HM:

                              GP = HM  

⇒                      8x - 10 = 5y - 3

⇒  8[(6/7)y - 15/7] - 10 = 5y - 3

⇒  (48/7)y - 120/7 - 10 = 5y - 3

⇒                      (13/7)y = 169/7

⇒                               y = 13

Now we have found a value for y, substitute this into one of the expressions and solve for x:

    8x - 10 = 5y - 3

⇒  8x - 10 = (5 x 13) - 3

⇒  8x - 10 = 62

⇒          8x = 72

⇒            x = 9

Answer:

The answer is 266.965

Answer:

you would have 8 oranges and 5 apples

Answer:

I think the answer is D. 2

Answer:

The answer is A

Step-by-step explanation:

x is equal to - 4

so the the x is replaced by the- 4 and then you will group like- items

Divide both sides by - 5 to get - 2

Answer:

6

Step-by-step explanation:

6x-10=26

   +10 +10

6x=36

divide by 6

x=6

Answer:

75

Step-by-step explanation:

Start by adding 3 then each time add an odd number to the sequence

First time add 3 then add 5 then add 7 then add 9 etc.

so we have:

-5, -2, 3, 10, 19, 30, 43, 58, 75

so its 75

Please mark Brainliest :)

Answer:

The pattern in +3, +5, +7, +9, +11, +13, +15, +17, +19. . .

6th = 30

7th = 43

8th = 58

9th = 75

10th = 94

Answer:

1,5

Step-by-step explanation:

You do 2-1 which is 1

Then do 2-(-3) which is 5 so the answer is (1,5)

Answer:

B

Step-by-step explanation:

1/4=25%

1/5=20%

5/16=31.25%

and 1/3=33%

Answer:

.5?

Step-by-step explanation:

I think I'm right.................maybe?????

Answer:

360

Step-by-step explanation:

8% of 4500 is 360

[tex]5(m + 1) - 1 \\ 5m + 5 - 1 \\ 5m + 4[/tex]

Answer:

5m+4

Step-by-step explanation:

Answer:

32, 64

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

[tex]\frac{8}{4}[/tex] = [tex]\frac{16}{8}[/tex] = 2

to obtain a term in the sequence multiply the previous term by 2

16 × 2 = 32

32 × 2 = 64

Answer:

50.24 units^2

Step-by-step explanation:

A=(3.14)(4)^2

Answer:

Step-by-step explanation:

1) x-20 = 830/0.9 = 8300/9

So x-20 = 8300/9 -> x=8300 /9 + 20 = 8480/9

2)try on your own

Answer: 13/2 or 6 1/2

Step-by-step explanation:

6 × 1 + 5 × 1/10

6 + 5 x 1/10 <-- Reduce 5 and 10 in 1/10 by the GCF, 5

6 + 1/2

Use 2 as a common denominator so multiply 6 by 2

12/2 + 1/2

13/2 or 6 1/2

Answer:

Mark-up = $2.25

Total price after mark-up = $7.25

Step-by-step explanation:

Well, 45% of $5 is $2.25, so now you just add that back to the total, which would be $7.25.

Using it's concept, it is found that the probabilities are as follows:

a) 0.6637.

b) 0.6947.

c) 0.1527.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 83 + 63 + 99 + 65 + 73 + 69 = 452 customers.

Item a:

63 + 99 + 65 + 73 = 300 are at least 20 but no older than 59, hence:

p = 300/452 = 0.6637.

Item b:

83 + 63 + 99 = 245 are younger than 40.

69 are older than 60.

Hence:

p = (245 + 69)/452 = 0.6947.

Item c:

69 customers are at least 60, hence:

p = 69/452 = 0.1527.

More can be learned about the probability concept at https://brainly.com/question/15536019

Answer:

5.946625

Step-by-step explanation:

i think this is right

#1

Interest be I

[tex]\\ \rm\hookrightarrow I=PRT/100[/tex]

[tex]\\ \rm\hookrightarrow I=9573(4)(2)/100=76584/100=765.84\$[/tex]

#2

[tex]\\ \rm\hookrightarrow I=9573(4)(4)/100=153168/100=1531.68\$[/tex]

Answer:

a) $765.84

b) $1,531.68

Step-by-step explanation:

Simple interest formula:  SI = PRT

where P = principal amount of loan, R = annual rate of Interest in decimal format, and T = Time.

Given:

a) when T = 2:  

SI = 9573 x 0.04 x 2 = 765.84

b) when T = 4:  

SI = 9573 x 0.04 x 4 =  1531.68

Answer:

she earns 7.80 an hour for mowing and 7.60 for babysitting so

6 hours of mowing that is 7.80 x 6 which is $46.8

and 1 hour of babysitting is $7.60 so we add up which is $54.40 in total

Answer:

$54.40

Step-by-step explanation:

You do 7.80*6=46.80 and 760*1=7.60 then add 46.80+7.60=54.40.

Answer:

Each Children gets = 15 strawberry

leftover for Mr.Cheek = 5 strawberry

Step-by-step explanation:

Given;

Mr.cheeks collects 95 strawberries to feed his family.

He provides the same number of strawberries to each of his 6 hamster children.

To Find;

After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself

Solve;

Since, Mr.cheeks total strawberries is 95 and he has 6 hamster children

we have to divide to see how much each children gets

95/6 = 15 with 5 remainder.

Hence, we can conclude that each children gets 15 and Mr.Cheeks have 5 leftover for himself

[RevyBreeze]

Answer:

if the numbers are separated by a fraction bar the response should be 11/12th of an hour on Saturday.

Step-by-step explanation:

1/2=6/12

5/12+6/12=11/12

Jayden's work rate is twice Chandra's work rate, and, the rooms cleaned

by Jayden is twice the number of rooms cleaned by Chandra.

Response:

Number of rooms in the house = 12

The time that Jayden takes to clean the house = 6 hours

Time that it takes Chandra to clean the house by herself = 12 hours

Time it takes both of them to clean the house = 4 hours

Required:

The number of rooms that Jayden clean and the number of rooms that

Chandra cleans when they work together.

Solution:

Given that the time it takes Jayden to clean the house is half the time

taken by Chandra.

Therefore;

The number of rooms Jayden cleans in 4 hours is twice the number of rooms cleaned by Chandra, which gives;

Ratio of the number of rooms cleaned by Jayden to the number cleaned by Chandra is 2 : 1

Total number of rooms cleaned = 12

[tex]Number \ of \ rooms \ cleaned \ by \ Jayden = \dfrac{2}{2 + 1} \times 12 = \underline{8 \ rooms}[/tex]

The number of rooms cleaned by Chandra = 12 - 8 = 4 rooms

Learn more about ratios here:

https://brainly.com/question/3568924

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 4679.43\\ P=\textit{original amount deposited}\dotfill &\pounds 4000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]

[tex]4679.43=4000\left(1+\frac{0.04}{1}\right)^{1\cdot t}\implies \cfrac{4679.43}{4000}=(1.04)^t \\\\\\ \log\left( \cfrac{4679.43}{4000} \right)=\log(1.04^t)\implies \log\left( \cfrac{4679.43}{4000} \right)=t\log(1.04) \\\\\\ \cfrac{\log\left( \frac{4679.43}{4000} \right)}{\log(1.04)}=t\implies 4\approx t[/tex]

Answer:

below the ans

Step-by-step explanation:

cos k = 5/23

= .21