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3 years ago

7

Hey I need help on this question if you help me 333 envelopesuehwhhegehshdhdgsgsgsgdgdhsgshdhdhdhdhdhdhdhdjdhdhdhdhdhdhdhdhdhdhd

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1 answer:

Free_Kalibri [48]3 years ago

8 0

I hope this helps you

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Mike hiked to a lake in 4.5 hours at an average rate of 2

aleksandrvk [35]

Answer:

It took Pedro <em>3.81 hours</em> to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = $2\frac{1}{5}\ miles/hr$

Formula for distance can be seen as:

$Distance = Speed\times Time$

Distance traveled by Mike = $4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles$

Rate of Pedro while hiking the same distance = $2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr$

Given that, Pedro also travels the same distance.

And we have to find the Time.

$Time = \dfrac{Distance}{Speed}$

$Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}$

It took Pedro <em>3.81 hours</em> to reach the lake.

6 0

3 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

3 years ago

PLEASE ANSWER WITH ALL THE MATH

Colt1911 [192]

9514 1404 393

Answer:

Jacob: 4
his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

<u>currently</u>:

M = 3 +9J

<u>in 11 years</u>:

M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

9J +14 = 3J +38 . . . . . . simplify

6J + 24 . . . . . . . . . . subtract 3J+14

J = 4 . . . . . . . . . . divide by 6

M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

8 0

2 years ago

Ngl i forgot whats 23+41

hoa [83]

64 is the answer and apparently it needs to be longer than 20 characters

3 0

3 years ago

Read 2 more answers

The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l

miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0

3 years ago