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2 years ago

Which proportional statements are true for finding the value of x? Check all that apply.

Mathematics

2 answers:

irina [24]2 years ago

7 0

Answer:

2, 3 5

Step-by-step explanation:

Lisa [10]2 years ago

4 0

Answer:2,3,5

Step-by-step explanation:

Consider the enlargement of the triangle.

A smaller triangle with side lengths 9 millimeters and 6 millimeters. A larger triangle with side lengths x millimeters and 16 millimeters.

Which proportional statements are true for finding the value of x? Check all that apply.

1 StartFraction 6 over x EndFraction = StartFraction 9 over 16 EndFraction

2 StartFraction 6 over 16 EndFraction = StartFraction 9 over x EndFraction

3 StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction

4 StartFraction 9 over x EndFraction = StartFraction 16 over 6 EndFraction

5 StartFraction 9 over x EndFraction = StartFraction 6 over 16 EndFraction5

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I really don't understand this. Would someone please send me on how to do this along with the answers?

patriot [66]

Easiest way:

Look at A and C. To get from A to C you need 6 steps to the right and 2 steps upwards.
Slope means (in layman's terms) that how many steps you take upwards when you take 1 step to the right.
In your case you take 2/6 steps, because it would take you 6 steps to the right to go 2 steps upwards.
A slope of 4 would mean that 1 step to the right is followed by 4 steps upwards. A slope of -5 means 1 step to the right, 5 steps downwards.

To get from A to E you need 9 steps to the right and 3 steps upwards. This means a 3/9 slope. The simplest form of it is 1/3.
1/3 slope means that for every 3 steps to the right you take 1 step upwards.

I hope this was understandable, this is how they taught me this in 5th grade more than a decade ago.

6 0

3 years ago

Read 2 more answers

F(x) =3x; g(x) = 4x^2 +1

lord [1]

Answer:

Answer: d 12x^3 + 3

Step-by-step explanation:

This is a composite function. Just insert g(x) into the x of f(x)

f(x) = 3x

3(4x^2 + 1)

Distribute the three

3(4x^2 + 1)

12x^3 + 3

8 0

2 years ago

How to solve an algebraic expression by putting values of unknown

andrey2020 [161]

Answer:

Step-by-step explanation:

Algebraic expressions tend to have atleast one unknown variable in it. In order to solve the expression we need to assign a fixed value to that variable or isolate it if the expression is equal to another value. For example, in the following expression we have the variable x, if we give it a value of 5 we simply solve like a regular expression...

5x + 3

5(5) + 3

25 + 3

Therefore, if we swap the variable x for the value of 5 we would get a value of 28 in this algebraic expression.

7 0

2 years ago

Sqrt(2x-6)=3-x<br> Solve for x

soldi70 [24.7K]

Answer:

x = 3

Step-by-step explanation:

$\sqrt{2x - 6} = 3 - x$

Square both sides of the equation

$2x - 6 = (3 - x)^{2} = 9 - 6x + x^{2} \\$

$x^{2} - 8x + 15 = 0\\$

(x - 3)(x - 5) = 0

x = 3 or 5

Now, you must always check your results because a result may not satisfy the original equation.

If x = 3, then $\sqrt{2x - 6} = \sqrt{2(3) - 6} = \sqrt{6 - 6} = \sqrt{0} = 0$ and 3 - x = 3 - 3 = 0

So 3 satisfies the original.

If x = 5, then $\sqrt{2(5) - 6} = \sqrt{10 - 6} = \sqrt{4} = 2$ , but 3 - x = 3 - 5 = -2. Therefore, 5 does NOT satisfy the original equation.

That means that x = 3 is the solution to the equation.

5 0

2 years ago

Tickets to a local circus cost $5 for students and $8 for adults. A group of 9 people spent a total of $60. How many adults were

S_A_V [24]

Answer:

Step-by-step explanation:

You need to set up and solve a system of linear equations here.

Let s and a represent the number of students and adults respectively.

Then s + a = 9, and s = 9 - a.

Total ticket cost for the adults was ($8/adult)(a)

and for the students ($5/student)(s).

Total cost of the tickets was then ($8/adult)(a) + ($5/student)(s) = $60.

Then our system of linear equations is:

8a + 5s = 60

a + s = 9, or s = 9 - a. Substituting 9 - a for s, we get:

8a + 5(9 - a) = 60.

Then 8a + 45 - 5a = 60, or 3a = 15.

Solving for a, we get a = 5.

Solving for s using s = 9 - a, we get s = 9 - 5, or s = 4.

There were 5 adults in the group (and 4 students).

3 0

3 years ago