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Tatiana [17]
3 years ago
7

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

hdhdhdhdhdhdddhddhdbdh

Mathematics
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
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