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Mrac [35]
3 years ago
11

A car travels for 10 minutes

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

Answer:

40 km/h

Step-by-step explanation:

s = ut where s - Distance

u - Speed

t - Time

when t = 10 min

= 10/60 hours

S1 = 30 * 10/60

= 5km

when t= 20 min

= 20/60 hours

S2 = 45 *20/60

= 15 km

Then total distance = S1 + S2

= 5 + 15

= 20 km

Total time period = (10 + 20 ) / 60 hours

= 1/2 hours

Then average speed = U

S = UT

U = S/ T

= 20/ 0.5 km/ h

= 40 km/ h

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4/5 divided by 1/3 plus 1/5 minus 3/5
r-ruslan [8.4K]

Answer:

  \frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12

Step-by-step explanation:

Considering the expression

\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}

Solution Steps:

\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}

as

\mathrm{Combine\:the\:fractions\:}\frac{1}{5}-\frac{3}{5}:\quad -\frac{2}{5}

so

=\frac{\frac{4}{5}}{\frac{1}{3}-\frac{2}{5}}    

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}

=\frac{4}{5\left(\frac{1}{3}-\frac{2}{5}\right)}

join  \frac{1}{3}-\frac{2}{5}:\quad -\frac{1}{15}

so

=\frac{4}{5\left(-\frac{1}{15}\right)}

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=\frac{4}{-5\cdot \frac{1}{15}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}

=-\frac{4}{5\cdot \frac{1}{15}}

\mathrm{Multiply\:}5\cdot \frac{1}{15}\::\quad \frac{1}{3}

so

=-\frac{4}{\frac{1}{3}}

\mathrm{Simplify}\:\frac{4}{\frac{1}{3}}:\quad \frac{12}{1}

so

=-\frac{12}{1}

\mathrm{Apply\:rule}\:\frac{a}{1}=a

=-12

Therefore

                  \frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12

4 0
3 years ago
What is tthe answerto the problem
Lemur [1.5K]

Answer:

g = 5

Step-by-step explanation:

-8 + (-2g) = -18

-8 -2g = -18

-2g = -18+8

-2g = -10

g = -10/-2

g = 5

5 0
3 years ago
Read 2 more answers
Lucia flips a coin three times. What is the probability she gets (Head, tail, Head) in that order?
Svetach [21]

Answer: \dfrac{1}{8}

Step-by-step explanation:

The total outcomes of tossing a coin = 2

The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8

Favorable outcome= (Head, tail, Head) in order

i.e. Number of Favorable outcomes = 1

We know that , Probability = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Therefore , The required probability =\dfrac{1}{8}

Hence , the probability she gets (Head, tail, Head) in that order=\dfrac{1}{8}

8 0
3 years ago
Which function is a shrink of the exponential growth<br> function shown on the graph?.
ale4655 [162]

Step-by-step explanation:

An exponential function is represented by function,

y = a \times  {b}^{x}

Where a is the y intercept and b is the growth factor.

The graph passes through (0,1) which is our y intercept so a=1

Know let find b.

The graph pass through (1,3) so plug in 1 for x and 3 for y.

3 = a  \times 3 {}^{1}

a = 1

So our base function is

y = 1 \times 3 {}^{x}

In order for this function to shrink, we must shift the y intercept such that it is less than 1 but greater than -1.

So the only option is

y =  \frac{1}{2} (3) {}^{x}

Because 1/2<1

3 0
2 years ago
YAL HELP ME PLSS jxbxjdjd
sashaice [31]

Answer:

(d) is true

Explanation:

Given

Brown = 8

Purple = 7

Required

Which of the options is true

A) P(Brown) = P(Not Brown)

P(Brown) is calculated as:

P(Brown)=\frac{Brown}{Brown + Purple}

P(Brown)=\frac{8}{8+7}

P(Brown)=\frac{8}{15}

P(Not Brown) is calculated as:

P(Not\ Brown) = 1 - P(Brown) --- Complement rule

P(Not\ Brown) = 1 - \frac{8}{15}

Solve

P(Not\ Brown) = \frac{7}{15}

Both are not equal.

Hence, (a) is not true

(b) P(Brown) < P(Not Brown)

In (a) above

P(Brown)=\frac{8}{15}

P(Not\ Brown) = \frac{7}{15}

By comparison;

P(Brown) > P(Not\ Brown)

Because:

8/15 > 7/15

Hence, (b) is not true

(c) P(Not Brown) > P(Brown)

This is the same as (b)

i.e. both conditions represent the same.

Hence, (c) is incorrect

(d) P(Brown) > P(Not Brown)

In (b), we established that

P(Brown) > P(Not\ Brown)

Because:

P(Brown)=\frac{8}{15}

P(Not\ Brown) = \frac{7}{15}

8/15 > 7/15

Hence, (d) is true

8 0
2 years ago
Read 2 more answers
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