Help! Will give brainliest if possible. No links.

Dina and Masha started out on a 10 km bike path at the same time. When Dina reached the end of the 10 km, Masha still had 2 km t

german

Answer:

4 km/h

Step-by-step explanation:

We are told that Dina and Masha started out on a 10 km bike path at the same time.

Dina's biking speed is 5 km/h.

Let us find taken by Dina to cover 10 kn distance.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken by Dina to cover 10 km}=\frac{10km}{5\frac{km}{hr}}$

$\text{Time taken by Dina to cover 10 km}=\frac{10km}{5}\times \frac{hr}{km}}$

$\text{Time taken by Dina to cover 10 km}=2hr$

Therefore, Dina took 2 hours to complete 10 km.

Since both started at the same time, therefore, Masha also took 2 hours to complete 2 km less than Dina.

Let us find distance covered by Masha.

$\text{Distance covered by Masha}=10\text{ km}-2\text{ km}=8\text{ km}$

Now let us find Masha's biking speed.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Masha's biking speed}=\frac{8\text{ km}}{2\text{ hour}}$

$\text{Masha's biking speed}=4\frac{\text{ km}}{\text{ hour}}$

Therefore, Masha's biking speed is 4 km per hour.

4 0

4 years ago

abbie spent 5/8 of her money and saved the rest. if she spent 45,how much money did she have at first?

algol13

$72

<h3>Further explanation</h3>

Given:

Abbie spent ⁵/₈ of her money and saved the rest.

She spent $45.

Question:

How much money did she have at first?

The Process:

The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.

Let us make a pattern of 8 units for the amount of money that Abbie had at first.

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that $\boxed{\$ 45 \div 5 = \$ 9}$

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 45$

From the pattern above, we can see that $\boxed{ \ 1 \ unit = \$ 9 \ }.$

Let us calculate how much money Abbie had at first.

$\boxed{ \ 1 \ unit = \$ 9 \ }$

$\boxed{ \ 8 \ unit = \ ? \ }$

$\boxed{ \ 8 \times \$ 9 = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

The complete pattern of Abbie's initial money is as follows:

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 72$

- - - - - - - - - -

Quick Steps:

Let M as Abbie's initial money.

$\boxed{ \ \frac{5}{8} \times M = \$ 45 \ }$

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

$\boxed{ \ M = \frac{8}{5} \times \$ 45 \ }$

We crossed out 5 and 45.

$\boxed{ \ M = 8 \times \$ 9 \ }$

$\boxed{ \ M = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

<h3>Learn more</h3>

How much did Ciro spend altogether for the concert ticket, hotel, and dinner? brainly.com/question/12507869
How much does his cat weigh (Jesse's)? brainly.com/question/388037
How much more paint will Mathilde need to buy? brainly.com/question/36885

Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern

4 0

4 years ago

Read 2 more answers

Please helpppppp i will mark you braliest

notsponge [240]

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3

6 0

3 years ago

Read 2 more answers

Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!

gayaneshka [121]

Answer: (0, 25) ∪ (25, ∞)

Step-by-step explanation:

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x added 5√x to both sides

x² = 25x squared both sides

x² - 25x = 0 subtracted 25x from both sides

x(x - 25) = 0 factored the quadratic equation

x = 0 and x - 25 = 0 applied the Zero Product Property

x = 0 and x = 25 solved for x

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x and 5√x both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0 and x ≠ 0 and x ≠ 25

so, x is between 0 and ∞ but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included. Infinity always uses a parenthesis since it is not an actual number.

6 0

3 years ago

What is the least common multiple of 95 and 65

muminat

The answer would be C) 1235.

5 0

4 years ago