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3 years ago

Ten times a number is sixteen more than twice the number. find the number

1 answer:

3 0

Hello, there!

<span>Ten times a number is sixteen more than twice the number. Find the number.

Answer: 2
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Explanation:

</span>
First, let's write the equation.

Ten times a number -- 10x

16 more -- 10x - 16

Twice the number -- 2x

10x - 16 = 2x or 10x = 2x + 16

Let's use the first one: 10x - 16 = 2x

First, let's isolate the x to one side.

10x - 16 = 2x
-10x -10x

-16 = -8x

Now, let's multiply each side by -1 to make them positive

-16 = -8x
*-1 *-1

16 = 8x

Finally, let's divide each side by 8

16 = 8x
---- ----
8 8

Our answer is 2 = x

This means that the number is 2.

I hope I helped!

Let me know if you need anything else!

~ Zoe

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A man has 166 feet of fencing to build the pen shown in the illustration. If one end is a square, find the outside dimensions, i

Andrei [34K]

Answer:

The shorter side: longer side is 385:512

Step-by-step explanation:

We are given that A man has 166 feet of fencing to build the pen

We are supposed to find If one end is a square, find the outside dimensions, if a = 6.

Side of square = x

Perimeter of square = $4 \times side = 4x$

a=6

Length of rectangular part = x+a = x+6

Breadth of rectangular part = x

Perimeter of rectangular part = 2(l+b)=2(x+6+x)=2(2x+6)

So, ATQ

4x+2(2x+6)=166

4x+4x+12=166

8x=154

x=19.25

Shorter side = 19.25

Longer side = x+6=19.25+6=25.6

So, the shorter side: longer side = $\frac{19.25}{25.6}=\frac{385}{512}=385:512$

Hence the shorter side: longer side is 385:512

4 0

4 years ago

Once a delay or disability is diagnosed, the best thing to do is to continue to be a family’s knowledgeable and reliable partner

meriva

Once you detect that there is a delay or disability, then you should continue to be the reliable partner in child care to the family so this is True.

<h3>What should be done when a delay in child development is seen?</h3>

The observation and screening process can lead to a child care partner discovering a delay or disability.

When this happens, you should report to your supervisor to check if the child is eligible for federal and state programs related to their condition. Whatever the case, you should remain accessible to the family as their partner in child care.

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1 year ago

Give me an explanation please

Nostrana [21]

Answer:

The 3rd and 6th

Step-by-step explanation:

Make a system of equations, try to solve, and then see which statements apply.

let x be the cost of a DVD and y be the cost of a video game

Then you would have:

2x + y = 12

4x + 2y = 24

from turning the words into equations.

Now, solve:

first, multiply the first equation by 2

2x + y = 12 --> 4x + 2y = 24

Then, subtract the two equations:

4x + 2y = 24

- (4x + 2y = 24)

0 = 0

Since you have a number = a number, there are infinite solutions.

Go through the options they give you and see which ones are correct

o The system of linear equations that represents this situation has one solution

Not true, there are infinite

o The system of linear equations that represents the situation has no solution.

Not true

o The system of linear equations that represents the situation has infinitely many solutions.

True

o The DVD rentals cost more than video game rentals

Unknown, it could cost more but it can also cost less so this is not true

o The video rentals cost more than the DVD rentals

Unknown for the same reason

o You cannot determine the cost of video game rentals or DVDs.

True

7 0

3 years ago

What does the graph of f(x)=(3x-5)(x+9) cross the x axis

Oduvanchick [21]

Hello.

Firstly, we need to simplify the function:

$\mathsf{f(x) = (3x - 5) \times (x + 9)} \\ \\ \mathsf{f(x) = 3x^{2} - 5x + 27x - 45} \\ \\ \mathsf{f(x) = 3x^{2} + 22x - 45}$

The graph crosses the 'x' axis when y = 0. Ergo:

$\mathsf{3x^{2} + 22x - 45 = 0} \\ \\ \\ \mathsf{\triangle = b^{2} - 4ac} \\ \\ \mathsf{\triangle = 484 - 4 \times 3 \times (-45)} \\ \\ \mathsf{\triangle = 484 + 540} \\ \\ \mathsf{\triangle = 1024} \\ \\ \\ \mathsf{x = \dfrac{-b \pm \sqrt{\triangle}}{2a}} \\ \\ \\ \mathsf{x_{1} = \dfrac{-22 + 32}{6} = \dfrac{10}{6} = \dfrac{5}{3}} \\ \\ \\ \mathsf{x_{2} = \dfrac{-22 - 32}{6} = \dfrac{-54}{6} = -9}$

Therefore, the graph crosses the x axis when x = -9 and 5/3.

Hope I helped.

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3 years ago

Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the piz

Arturiano [62]

Answer:

7/16

Step-by-step explanation:

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3 years ago