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Inessa [10]
3 years ago
11

Please help me !!!!!!!!!!!!!!!!!!​

Mathematics
1 answer:
KIM [24]3 years ago
7 0

Answer:

Step-by-step explanation:

the answer that looks like / is the answer for 1

the answer that looks like \/ is for 2

and try using desmos very helpfull

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Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
xz_007 [3.2K]

Answer:

Total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

H = 4 + 2(0)

H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

But 6 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 2 km then

H = 4 + 2(2)

H = 8

Then total distance is

D + H + S

2 + 8 + 2

12 km

But 12 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 3 km then

H = 4 + 2(3)

H = 10

Then total distance is

D + H + S

2 + 10 + 3

15 km

Assuming that Sara covered 8 km then

H = 4 + 2(8)

H = 20

Then total distance is

D + H + S

2 + 20 + 8

30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

6 0
3 years ago
A department within an agency is randomly chosen each week for auditing. If there are 25 departments, what is the chance that an
Alexandra [31]

<u>Answer:</u>

The chance that any single department is chosen for auditing in a given week is 0.04%

<u>Explanation:</u>

Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.

Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments

which is equal to 1/25

1/25 = 0.04%

which is the chance of percentage of choosing a department

8 0
3 years ago
Find p(-4) if p(x) = 3x^2 - 4x + 7
Igoryamba

Answer:71

Step-by-step explanation:

6 0
3 years ago
Find the value of x. Then classify the triangle
vredina [299]
So basically what you have to do is
5 0
3 years ago
119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun
sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

(1+\frac{0.055}{12})=z

100=C for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C

A geometric series is given by:

1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}

Translating our series to the short form:

S_{n}=C(\frac{z^{n}-1}{z-1} )

plugin in the values for the 12 month gives:

S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169

3 0
3 years ago
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