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amm1812
4 years ago
11

What does x equal in the equation below? 4x - 2 = 10

Mathematics
2 answers:
Nadya [2.5K]4 years ago
7 0
So first subtract 2 on both sides giving you 4x = 8. Then divide by 4 on both sides giving you x = 2
krok68 [10]4 years ago
5 0

Answer: 3

Step-by-step explanation:

4x-2=10

first you plus 2

10+2=12

4x=12

x=3

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Solve the proportion 15/6 = 10/p
V125BC [204]

Answer:

  p = 4

Step-by-step explanation:

The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)

<h3>Cross multiply</h3>

This means multiply both sides of the equation by the product of the denominators:

  (15/6)(6p) = (10/p)(6p) . . . . "cross multiply"

  15p = 60 . . . . . . simplify

<h3>Second step</h3>

Now, divide by the coefficient of the variable.

  15p/15 = 60/15

  p = 4

The solution is p = 4.

__

<em>Additional comment</em>

If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.

__

For example, to solve ...

  2/5 = p/10

you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.

__

Any proportion can be written 4 ways:

  \dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:

  6/15 = p/10   ⇒   p = 10(6/15) = 4

4 0
2 years ago
Read 2 more answers
Mercedes is going to have her car fixed. Cairo Prince Auto tech charges$45 for an estimate of plus $24 per additional hour of wo
Marysya12 [62]

Well I believe that the equation would be

Cairo: y=45+24x

Tarantino: y=30x

The answers would be:

B. Tarantino's cost can be modeled by 30h

D. If the work takes 7 hours , Tarantino's is cheaper

5 0
3 years ago
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Find the exact solution to the equation. 10- log base 4 (x+6)=9
RoseWind [281]
This will require some solving.

10 - \log_4(x + 6) = 9
log_4(x + 6) = 1
4^{\log_4(x + 6)} = 4
x + 6 = 4
\boxed{x = -2}
4 0
3 years ago
Explain insurable interest and give an example
MArishka [77]

The examples of insurable interest is an employer under certain arrangements.

Insurable interest is a investment that protects anything subject to a financial loss. A person or entity has an insurable interest in an item, event, or action when the damage or loss of the object would cause a financial loss or other hardshapes. In order to have an insurable interest a person or entity would take out an insurance policy protecting the person,item, or event in question. The insurance policy is able to  mitigate the risk of loss if something happens to the asset-like becoming damaged or lost.

Examples of insurable interest are:

  • Yourself
  • Your spouse or former spouse
  • Your children or grandchildren
  • A special needs adult child
  • An aging parent
  • An employer (under arrangements)

Hence the examples of insurable interest is an employer under certain arrangements.

Learn more about insurable interest at brainly.com/question/13958989

#SPJ1

8 0
2 years ago
Which graph represents a function?
Sliva [168]

Answer:

D

Step-by-step explanation:

A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.

Let's examine each choice.

(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.

(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.

(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.

(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.

Therefore, the answer is D.

5 0
3 years ago
Read 2 more answers
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