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3 years ago

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In 11 years, John's age will be 5 less than 5 times his current age. How old is he? If x represents John's current age, which of

the following equations could be used to solve this problem? x + 11 - 5 = 5x x + 11 = 5x - 5 x + 11 = 5 - 5x

2 answers:

seropon [69]3 years ago

5 0

Answer:

Step-by-step explanation:

Let John's age be x. This gives us that in 11 years, john's age will be 5 less than 5 times his current age. Therefore, we could get: $x+11=5x-5$ . This is your second equation. Solving for x, we get 4x=16 so x=4.

vladimir1956 [14]3 years ago

4 0

Answer:

x+11=5x-5

Step-by-step explanation:

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation $y=-16x^2+224x+121$ . We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute $y=0$ in our given equation as:

$0=-16x^2+224x+121$

Let us solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}$

$x=\frac{-224\pm\sqrt{50176+7744}}{-32}$

$x=\frac{-224\pm\sqrt{57920}}{-32}$

$x=\frac{-224\pm240.66574}{-32}$

$x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}$

$x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}$

$x=-0.520804375, x=14.520804375$

Upon rounding to nearest 100th of second, we will get:

$x\approx -0.52, x\approx 14.52$

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

6 0

4 years ago

Read 2 more answers

Let a=3/4 and b=1/5. If a*x=b, then what is x?

Anarel [89]

In general, any equation like $ax=b$ (assuming $a \neq 0$ ) is solved by

$x= \dfrac{b}{a}$

So, in your case, the solution is

$x = \dfrac{\frac{1}{5}}{\frac{3}{4}}$

Dividing by a fraction means to multiply by the inverse of that fraction:

$\dfrac{\frac{1}{5}}{\frac{3}{4}} = \dfrac{1}{5} \cdot \dfrac{4}{3} = \dfrac{4}{15}$

7 0

3 years ago

Plz help me on this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

hram777 [196]

Answer:

1. 12y+20

2. $15c^{2}$ -18c

3. 18d-12

4. x=9

Step-by-step explanation

Hope this helps. I'm very sorry if I'm wrong

7 0

3 years ago

Read 2 more answers

3. In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second

Katen [24]

12

<h3>Further explanation</h3>

<u>Given:</u>

In an auditorium,

$\frac{1}{6}$ of the students are fifth graders,
$\frac{1}{3}$ are fourth graders, and
$\frac{1}{4}$ of the remaining students are second graders.

There are 96 students in the auditorium.

<u>Question:</u>

How many second graders are there?

<u>The Process:</u>

The least common multiple (LCM) of 3 and 6 is 6.

Let us draw the diagram of all students.

$96 \div 6 \ units = 16 \rightarrow \boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16} = 96 \ students$

$\frac{1}{6}$ of the students are fifth graders, or 1 of 6 units above, that is $\boxed{16} = 16 \ students$
$\frac{1}{3} = \frac{2}{6}$ are fourth graders, or 2 of 6 units above, that is $\boxed{16}\boxed{16} = 32 \ students$

The remainder is 6 units - (1 unit + 2 units) = 3 units, that is $\boxed{16}\boxed{16}\boxed{16} = 48 \ students$ . Or, 96 - 16 - 32 = 48 students.

$\frac{1}{4}$ of the remaining students are second graders.

Let us count how many second graders are there.

$\boxed{ \ \frac{1}{4} \times 48 \ students = ? \ }$

Thus, there are 12 second-graders in the auditorium.

- - - - - - - - - -

Quick Steps

$\boxed{ \ \frac{1}{4} \times \bigg(1 - \frac{1}{6} - \frac{1}{3} \bigg) \times 96 = ? \ }$

$\boxed{ \ = \frac{1}{4} \times \bigg(\frac{6}{6} - \frac{1}{6} - \frac{2}{6} \bigg) \times 96 \ }$

$\boxed{ \ = \frac{1}{4} \times \frac{3}{6} \times 96 \ }$

$\boxed{ \ = \frac{3}{24} \times 96 \ }$

We crossed out 24 and 96.

$\boxed{ \ = 3 \times 4 \ }$

$\boxed{\boxed{ \ = 12 \ students \ }}$

<h3>Learn more</h3>

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What fraction of all Sarah's photos is of her friends brainly.com/question/1020296
Create and solve a story problem about two friends and their weekly allowance brainly.com/question/2968321

Keywords: In an auditorium, 1/6 of the students, fifth graders, 1/3, fourth, 1/4, the remaining students, second, 96, how many, second graders

3 0

3 years ago

Read 2 more answers

Lauren goes to the exhibition. She purchases a table for $44 and 2 chairs. Each of the chairs costs the same price. Write an exp

const2013 [10]

Answer:

B: $90.

Step-by-step explanation:

The expression for this problem can be represented as

Total Cost = $44 + 2c

Since one chair costs $23, the total cost would be:

Total Cost = $44 + 2($23)

2 × 23 = 46

Total Cost = $44 + $46 = $90

The total cost is $90, choice B.

3 0

3 years ago