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LiRa [457]
3 years ago
8

On each 3 days, Derrick rode 6.45 km. to school, 150 meters to the library and 500 meters back home. How many kilometers did he

ride all together?
Mathematics
2 answers:
kvv77 [185]3 years ago
8 0
Found this on studysoup;

Just add all 3 numbers up 6.45+ 0.15+0.5 =7.1 Since it was three days multiply the 7.1 by three =7.1x3 =24 So for three days derrick rode for 24 km Hoped I helped :)


Hope that helps!
Anettt [7]3 years ago
7 0
Total Distance = 6.45km + 150m + 500m

Convert meters to kilometers:
Total Distance = 6.45km + 0.15km + 0.5km

Add them up:
Total Distance = 7.1km

Find total distance he rode in 3 days:
1 day = 7.1 km
3 days = 7.1 x 3 = 21.3 km

-----------------------------------------------------------------------------------
Answer: He rode 21.3 km in the 3 days.
------------------------------------------------------------------------------------
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Can someone find the slope of these points- (8,20) and (4,61)
tino4ka555 [31]

The equation for a slope is y2 - y1/x2-x1

61-20/4-8

41/-4

7 0
3 years ago
Read 2 more answers
1) Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes
amm1812

Answer:

1. D

2. D

3. C

4. C

5. C

6. C

7. D

8. A

9. No question given (shown)

10. 8047 meters


Step-by-step explanation:


1.

If 2 cakes feed 11 people, then 1 cake feeds \frac{11}{2}=5.5 people

To find how many cakes it will require to feed 58 people, we divide 58 by 5.5:

\frac{58}{5.5}=10.55

We can't make fractional cakes, so we will need 11 cakes.

Answer choice D is right.


2.

To get ratio of banana to all fruit, we make the fraction with total number of bananas on top and total number of fruits on bottom.

Total bananas = 4

Total fruits = 12 +4 +8 = 24

So the ratio is \frac{4}{24}

Reducing it, we get \frac{4}{24}\\=\frac{1}{6}

We can write this as 1:6

Correct answer D


3. <em>"What is 34% written as a ratio?"</em>

To write in ratio (fraction), we divide the number in front of the percent sign (which is 34) by 100. So we have \frac{34}{100}

We can write this as 34:100

C is right


4.

First, 5 pounds per foot for 12 foot is 12 * 5 = 60 pounds

We need to change foot to meter and pounds to kg. We need two unit ratios for this. It is shown below:

\frac{60Pounds}{12Feet}*\frac{0.454Kg}{1Pound}*\frac{1Feet}{0.305Meters}\\=\frac{(60)(0.454)}{(12)(0.305)}\\=7.44\frac{Kg}{Meters}

Answer choice C is right.

<u>Note:</u> in the calculation above, pounds and pounds cancel as well as feet and feet cancel


5.

To get ratio (fraction) of blue to red marbles, we divide total number of blue by total number of red.

Total blue = 60 (given)

Total red = 90 - 60 = 30

So Ratio is \frac{60}{30}=2:1

Answer choice C is right.


6. Clark gives \frac{3}{10} to charity, this in percentage is 30%

We do long division and get a decimal and then multiply the decimal by 100 and stick a "%" sign after that:

\frac{3}{10}=0.3\\0.3*100=30

Hence 30%

Answer choice C is right.


7.

The first 5 level points are 20, 25, 30, 35, & 40. As we can see from the pattern, for each level inrease, the number of stars increase by 5.

Fifth level is 5 * 8 = 40

-------------------------------- Now,

  • Sixth level will be 40 + 5(6 -5) = 40+5=45
  • Seventh level will be 40 + 5(7 -5) = 40 + 5(2)=50
  • Eight level will be 40 + 5(8 -5) = 40 + 5(3) = 55

Seeing the pattern, 30th level would be : 40 + 5(30 -5) = 40 +5(25) = 165

Answer choice D gives us the correct answer.


8.

To get dollar rate per minute, we divide dollars by minutes for each and whichever is lowest, that is the BEST.

A) 240 minutes for $50 a month: \frac{50}{240}=.21 dollars per minute

B) 140 minutes for $70 a month: \frac{70}{140}=.50 dollars per minute

C) 200 minutes for $45 a month: \frac{45}{200}=.23 dollars per minute

D) 800 minutes for $250 a month: \frac{250}{800}=.31 dollars per minute

So we can see that the lowest and best rate is that of A).

Answer choice A is correct.


9. Question not given (shown).


10. <em>"1 mile = 5,280 feet 1 foot = 0.3048 meters Convert 5 miles to meters (round to the nearest meter)."</em>

We first change 5 miles to feet, and then to meters by setting up the ratio shown below:

5Miles*\frac{5280Feet}{1Mile}*\frac{0.3048Meters}{1Feet}\\=5(5280)(0.3048)\\=8046.72 meters

<u>*Note:</u> miles and miles cancel and feet and feet cancel when doing the conversion

Rounded to nearest meter, 8047 meters

8 0
3 years ago
Read 2 more answers
The graph of an exponential function passes through (2,−32) and (3,−64). Find the exponential function that describes the graph.
Greeley [361]

Answer: y=(-8)2^x

Step-by-step explanation:

The exponential function will have this form:

y=ab^x

We know that the function passes through the points (2,-32) and (3,-64). Then, we can substitute the coordinates of the point (2,-32)  into y=ab^x and solve for "a":

-32=ab^2\\\\a=\frac{-32}{b^2}

Then, we know that:

y=(\frac{-32}{b^2})b^x

Now, we neeed to substitute the coordinates of the second point (3,-64) into y=(\frac{-32}{b^2})b^x and solve for "b":

-64=(\frac{-32}{b^2})b^3\\\\-64=-32b\\\\\frac{-64}{-32}=b\\\\b=2

Substituting the value of "b" into a=\frac{-32}{b^2} we can find "a":

a\frac{-32}{2^2}\\\\a=-8

Therefore, we get that the exponential function that describes the graph, is:

y=(-8)2^x

7 0
3 years ago
The f(x)=2^x and g(x)=f(x+k). If k=-5, what can be concluded about the graph of g(x).
statuscvo [17]

Answer:

A and C

Step-by-step explanation:

so the final g(x) would be y=2^x+5

A because of the +5

C because there are no parenthesis and therefor cant be a horizontal shift

7 0
3 years ago
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What is the factored form of 250x^3 − 16? A. 2(5x − 2)(25x2 + 10x + 4) B. 2(5x + 2)(25x2 − 10x + 4) C. (5x − 2)(25x2 + 10x + 4)
Juli2301 [7.4K]

Answer:

The choose A.

250 {x}^{3}  - 16 \\ 2(5x - 2)(25 {x}^{2}  + 10x + 4)

I hope I helped you^_^

5 0
3 years ago
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