How do I solve this?

How Do I Solve This?

Answers

Answer 1

x = 6

given

[tex]\frac{x+2}{x-2}[/tex] = [tex]\frac{4}{8}[/tex]

cross- multiply to obtain

8(x + 2) = 4(x - 2) ( distribute parenthesis on both sides )

8x + 16 = 4x - 8 ( subtract 4x from both sides )

4x + 16 = - 8 ( subtract 16 from both sides )

4x = - 24 ( divide both sides by 4 )

x = [tex]\frac{-24}{4}[/tex] = - 6


Answer 2

Hello there!

Answer: ⇒ x=-6

_________________________________________________________

Step-by-step explanation:

Apply fraction cross multiply.

[tex](x+2)*8=(x-2)*4[/tex]

Expand.

[tex]8x+16=4x-8[/tex]

Subtract by 16 from both sides of equation.

[tex]8x+16-16=4x-8-16[/tex]

Simplify.

[tex]8x=4x-24[/tex]

Subtract by 4x from both sides of equation.

[tex]8x-4x=4x-24-4x[/tex]

Simplify.

[tex]4x=-24[/tex]

Divide by 4 from both sides of equation.

[tex]\frac{4x}{4}=\frac{-24}{4}[/tex]

Simplify it should be correct answer.

[tex]x=-6[/tex]

__________________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

_________________________________________________________________


Related Questions

4z+27+5x=14y
If x,y and z each represent a different digit from 0 - 9 what is the value of (x)(y)(z)

Answers

In order for the equation to work, x must be odd. Trying different values of x, we find 5 solutions:

(x, y, z) = (1, 4, 6), (3, 5, 7), (5, 6, 8), (7, 5, 2), (9, 6, 3)

Then the product xyz could be any of 24, 105, 240, 70, or 162.

Alice earns simple interest of $120 at an annual interest rate of 6% for the period of 1 year. What equation shows the relationship between principal amount (p), rate of interest (r), period of investment in years (t), and interest earned (i).

Answers

i = [tex]\frac{prt}{100}[/tex]

with i = 120 then

p = [tex]\frac{100(120)}{6}[/tex] = $2000



Answer:

120 = p × 6% × 1


Step-by-step explanation:

just put in the answer

then it will be correct


A cake recipe asked for 4⁄6 of a cup of oil, but Brad accidentally poured 5⁄6 of a cup of oil into the batter. How much extra oil did Brad pour into the batter?

Answers

Hello! I would love to help!

Okay, let's first figure out what the problem is asking us. Basically, we need to subtract 4/6 from 5/6 to find the extra left over.

Let's do it!

We need to do 5/6-4/6

To do this, subtract the numerators, or top numbers of each fraction.

The top numbers are 5 and 4
5-4=1

Now, put the new numerator over 6, the common denominator.

1/6

So, your answer is 1/6 cup extra oil.

Hope this helped! Comment if you have questions!

if i have a pay rate of $21.00 and marked up 78.7% and made a 10% profit. how did i get $41.28?

Answers

Step-by-step explanation:

Since we have given that

Amount of pay rate =$21

If she marked up by 78.7% , so it becomes

[tex]78.7\%\text{ of}\$21\\\\=\frac{78.7}{100}\times \$21\\\\=\$16.527[/tex]

So, our amount for pay rate becomes

[tex]21+16.527\\\\=\$37.527[/tex]

Now, he said he made a profit of 10%,so it becomes

[tex]10\%\text{ of }37.527\\\\=\frac{10}{100}\times 32.527\\\\=\$3.7527[/tex]

So, our new pay rate becomes

[tex]37.527+3.7527\\\\=\$41.2797[/tex]

This is the step through which we can get $41.28.

Suppose the roots of a polynomial are 3 4 , − 7 8 , − 3 8 , and − 1 9 . Which choice is a factor of the polynomial?


A) (x +3/4)

B) (x + 3/8)

C) (x - 7/8)

D) (x - 1/9)

Answers

Answer:

x+7/8

Step-by-step explanation:

A polynomial has roots at the points where the curve cuts the x axis.

This can also be said as values of x for which the polynomial is 0

Given that when x =a is root means, we have x-a is the factor.

Based on the above, we find when 3/4, -7/8, -3/8 and -1/9 are roots

factors are x-3/4, x+7/8, x+3/8, x+1/9

Hence answer is

B) (x + 3/8)

The other options do not match with the factors only option Bmatches.


Answer: The factor of the polynomial is [tex](x+\frac{3}{8})[/tex]

Step-by-step explanation:

We are given:

4 roots of the polynomial

Root 1: [tex]\frac{3}{4}[/tex]

The factor for this root becomes: [tex](x-\frac{3}{4})[/tex]

Root 2: [tex]\frac{-7}{8}[/tex]

The factor for this root becomes: [tex](x+\frac{7}{8})[/tex]

Root 3: [tex]\frac{-3}{8}[/tex]

The factor for this root becomes: [tex](x+\frac{3}{8})[/tex]

Root 4: [tex]\frac{-1}{9}[/tex]

The factor for this root becomes: [tex](x+\frac{1}{9})[/tex]

Hence, the factor of the polynomial is [tex](x+\frac{3}{8})[/tex]

What does the intersection of two coplanar lines form?
a. a point
b. a line
c. a plane
d. an angle

Answers

a plane is the answer

The intersection of two coplanar lines forms a point.

Option A is the correct answer.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The intersection of two coplanar lines forms:

a.

a point
This is true.

Because two lines that intersect and form a point are called coplanar.

b.

a line

This is not true.

c.

a plane

This is not true.

Two axis makes a plane.

d.

an angle

This is not true.

An angle is formed when two straight lines or rays meet at a common endpoint.

Thus,

A point is formed by the intersection of two coplanar lines.

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⦁ Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $325 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 bedspreads, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
⦁ If a package of curtains cost $24.50, what is the cost of the 3 packages of curtains in the cart?
⦁ If a bedspread costs $39.95, what is the cost of the 3 bedspreads in the cart?
⦁ If a gallon of paint costs $24.96, what is the cost of the 3 gallons of paint in the cart?
⦁ If a lamp shade costs $9.99, what is the cost of the 3 lamp shades in the cart?
⦁ Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $325.
PLS PLEASE HELP ME!!!!!!!ASAP!!!!!!????

Answers

Curtains:

$24.50 x 3 = $73.50

Bedspread:

$39.95 x 3 = $119.85

Gallon of paint:

$24.96 x 3 = $74.88

Lamp shade:

$9.99 x 3 = $29.97

The cost of all the items:

$73.50 + $119.85 + $74.88 + $29.97 = $298.20

How much money is left:

$325 - $298.20 = $26.80

So the family has $26.80 left.

Hope this Helps!!

HURRY 30 PTS
What is the equation of the graphed line written in standard form?
A. 3x + y = –5
B. x + 3y = –5
C. 3x – 5y = –15
D. 5x – 3y = 15

Answers

D

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 0 ) and (x₂, y₂ ) = (0, - 5 )

m = [tex]\frac{-5-0}{0-3}[/tex] = [tex]\frac{5}{3}[/tex]

line crosses y-axis at (0, - 5 ) hence c = - 5

y = [tex]\frac{5}{3}[/tex] x - 5 ← in slope-intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange slope-intercept form into standard form

multiply all terms by 3

3y = 5x - 15 ( subtract 3y and add 15 to both sides )

5x - 3y = 15 ← in standard form → D


Answer:

its d on edgunity

Step-by-step explanation:

Use the Counting Principle to find the probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9.

A. 1 in 100,000,000

B. 1 in 43,046,721

C. 1 in 1,000,000,000

D. 1 in 10,000,000

Answers

I really don’t know but I thank it is 100,000,000

Answer: A. 1 in 100,000,000

Step-by-step explanation:

The given digits are  0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

The total number of digits = 10

Now by using the counting principle, the probability of choosing one number is given  by :-

[tex]\text{P(one number)}=\dfrac{1}{10}[/tex]

Therefore, the probability of choosing 8 numbers (with replacement ) will be :

[tex]\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}=(\dfrac{1}{10})^8=\dfrac{1}{100,000,000}[/tex]

How are percent error and percent change similar

Answers

Percent Change = New Value − Old Value|Old Value| × 100%

Example: There were 200 customers yesterday, and 240 today:

240 − 200|200|× 100% = 40200 × 100% = 20%

A 20% increase.

 

Percent Error = |Approximate Value − Exact Value||Exact Value| × 100%

Example: I thought 70 people would turn up to the concert, but in fact 80 did!

|70 − 80||80| × 100% = 1080 × 100% = 12.5%

I was in error by 12.5%

(Without using the absolute value, the error is −12.5%, meaning I under-estimated the value)

The difference between the two is that one states factual calculations and the other is a theoretical guess

Solve the inequality:

|x+3|<1

Answers

This can be "unfolded" to ...

... -1 < x+3 < 1

Subtracting 3 gives the solution:

... -4 < x < -2

13x + 5 + 17x -4.5 + x explain why this is wrong show your
18x + 17x - 4.5 + x work
35x - 4.5 + x
30.5x + x
31.5x

Answers

The answerer is combining terms in x with constants

that is, 13x + 5 ≠ 18x

13x + 5 + 17x - 4.5 + x

= (13x + 17x + x ) + 5 - 4.5 ← collecting like terms

= 31x + 0.5 ← correct simplification





combining terms in x with constants

13x + 5 ≠ 18x

13x + 5 + 17x - 4.5 + x

= (13x + 17x + x ) + 5 - 4.5 <--- collecting like terms


= 31x + 0.5 <--- correct simplification

25 is the result when 8 and x are added. What is the value of x? Enter your answer in the box as a fraction in simplest form.

Answers

Its simply just 8 minus 25 to find x but there is no fraction.

Which inequality correctly compares two of these times? A) 54.05 > 54.15 B) 54.5 < 54.1 C) 54.15 > 54.05 D) 54.1 < 54.05

Answers

c is right answer because 54.15 is bigger than 54.05


Final answer:

In comparing decimal numbers using inequalities, choice C (54.15 > 54.05) is correct. The other three options incorrectly compare the numbers.

Explanation:

The question is asking us to compare two different decimal numbers using inequalities. Inequalities in mathematics are used to show the order of numbers, illustrating which is greater or less than the other.

Let's look at each option:

A) 54.05 > 54.15 - This is incorrect because 54.05 is less than 54.15.B) 54.5 < 54.1 - This is incorrect because 54.5 is actually greater than 54.1.C) 54.15 > 54.05 - This is correct because 54.15 is indeed greater than 54.05.D) 54.1 < 54.05 - This is incorrect because 54.1 is greater than 54.05.

Therefore, the choice C correctly compares the two decimal numbers using inequalities.

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Simplify the expression by combining like terms.
8m + 13g - 8 +3m-g

Answers

8m + 13g - 8 + 3m - g

8m + 3m = 11m

13g - g = 12g

11m + 12g - 8 ⇒ Your simplified expression


There you go! I really hope this helped, if there's anything just let me know! :)

Answer:

11m+12g-8

Step-by-step explanation:

8m+13g-8+3m-g

8m+3m+13g-g-8

11m+12g-8

caroline has enough pumpkin seeds to cover an area of 350 square feet. her garden measures 18 feet by 22 feet. does she have enough pumpkin seeds to fill the whole garden? explain

Answers

yes

area = 18 × 22 = 396 ft²

Since 396 > 350

Caroline has more than enough to fill her garden


The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 142. If state A has more counties than state​ B, how many counties does each state​ have?

Answers

Let the number of counties in state B be n, then the number of counties in state A is n+2 (the next even integer number after n). The sum of these two consecutive integers is 142, then

n+n+2=142,

2n=142-2,

2n=140,

n=70.

In state B there are 70 counties, and in state A there are 72 counties.

Evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4)

Answers

{362- {6x3+(48/2) x2]}+3(9+4)

{362- {6x3+24 x2]}+3(9+4)

{362- 66+3(9+4)

{362- 66+3(9+4)

{296+3(13)}

(296+39)

335

The Answer is 335.

Final answer:

To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations. After simplifying each part of the expression and performing the necessary operations, the final result is 287.

Explanation:

To evaluate the expression {362-[6×3+(48÷2)×2]}+3(9+4), we need to follow the order of operations, also known as PEMDAS. This acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, let's simplify the expression inside the parentheses: [6×3+(48÷2)×2].

Using the division rule, we have: [6×3+(24)×2].Next, we perform the multiplications: [18+48×2].Then, we simplify further: [18+96].The sum inside the parentheses is equal to 114. Therefore, the expression becomes {362-114}+3(9+4).Next, let's evaluate the expression inside the curly braces: {362-114}. This can be done by subtracting 114 from 362, resulting in 248.Finally, we have to evaluate the expression 3(9+4). Following the order of operations, we perform the addition inside the parentheses first: 3(13). Multiplying 3 by 13 gives us 39.

Now, we add the results of the two evaluated expressions: 248+39. This gives us a final result of 287.

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What happens if the correlation coefficient equals 0? A. There is a strong negative linear relationship between x and y. B. There is not a linear relationship between x and y. C. There is a strong positive linear relationship between x and y. D. There is a weak negative linear relationship between x and y.

Answers

The appropriate choice for the interpretation of a correlation coefficient of 0 is ...

... B. There is not a linear relationship between x and y.

Answer:

B.  

There is not a linear relationship between x and y.

Step-by-step explanation:

PLATO fam

Which of the following statements is NOT true?
A. A number ending in 0 or 5 is always divisible by 5.
B .A number ending in 0 is always divisible by 10.
C. If a number is divisible by both 2 and 3, then it is not divisible by 6.
D. Odd numbers are not divisible by 2.

Answers

Answer:

The answer is C

Step-by-step explanation:

Your welcome :)

I am F years old and my brother is B years older. What is the sum of our ages? What will be the sum of our ages in three years? What was the difference of our ages two year ago

Answers

a) The sum of your ages is F + (F+B) = 2F+B.

b) In 3 years, the sum of your ages will be (F+3)+(F+B+3) = 2F+B+6.

c) The difference of your ages at any time is B.

Answer:

a) The sum of your ages is F + (F+B) = 2F+B.

b) In 3 years, the sum of your ages will be (F+3)+(F+B+3) = 2F+B+6.

c) The difference of your ages at any time is B.

Write an expression for the calculation divide 10 in half and subtract from 50 divide into fifths

Answers

There are several issues with this English description, as there often are.

We assume you mean you want to divide 10 into two equal parts, then subtract one of those parts from 50.

... (10/2) is half of 10

When that is subtracted from 50, the result is

... 50 - (10/2)

We assume you want one fifth of this result. Other interpretations are that you are subtracting 10/2 from (50/5), or that you are using the difference as the denominator with 1/5 or some other number of fifths as the numerator (dividing <the difference> into 1/5).

Then your expression might be ...

... (1/5)(50 -10/2)

_____

There are ways to write math expressions in English so they are unambiguous. This isn't one of them. It must be done very carefully, as English is often intentionally vague and subject to a variety of interpretations (as most human languages are). Good punctuation helps.

Write a number that is 100 times smaller than 7,000

Answers

all you need to do is start from the last zero and move up from however many zeros there are (this time it's 100) moving the zero back 2 places gives you the answer of 70

what is the y-intercept of (2, 18) and (6, 6)?

Answers

Assuming you want the y-intercept of the line through those two points, you can find it a couple of different ways.

The slope of the line is ...

... slope = (change in y)/(change in x) = (6-18)/(6-2) = -12/4 = -3

We are given the y-value for x=2. When x decreases by 2 to x=0, then the y-value changes by (-2)·(-3) = +6, from 18 to 24.

___

You can also write the equation of the line in point-slope form as ...

... y = -3(x -2) +18

Again, when x=0, the y-intercept is ...

... y = -3(0 -2) +18 = 6 +18 = 24

The y-intercept of the line through (2, 18) and (6, 6) is 24.

Explicit formula for 79,71,63,55

Answers

Your sequence has a common difference of -8, so could be considered an arithmetic sequence with first term 79. A formula for the n-th term might be ...

... a[n] = 79 -8(n -1)

or

... a[n] = 87 -8n

Angelo, age 40, is comparing the premium for a $125,000 whole life insurance policy he may take now and the premium for the same policy taken out at age 45. Using the table, find the difference in total premium costs over 20 years for this policy at the two age levels. a. $69,375 b. $11,725 c. $12,875 d. $644

Answers

Policy value over 20 years = 125000

Per year, 125000/20=$6250

Look up premium table for age 40 and 45, the difference in total premium is C. $12,875.


Final answer:

To find the difference in total premium costs over 20 years for a whole life insurance policy at two age levels, calculate and subtract the total premium at each age.

Explanation:

To find the difference in total premium costs over 20 years for the whole life insurance policy at the two age levels, we need to calculate the total premium at each age and then subtract the two values.

For Angelo at age 40, the value of the policy is $125,000. Let's assume the premium rate is x. So, the total premium at age 40 is 20 * x. For Angelo at age 45, the value of the policy is still $125,000. Let's assume the premium rate is y. So, the total premium at age 45 is 15 * y. To find the difference in total premium costs over 20 years, subtract the total premium at age 45 from the total premium at age 40: 20 * x - 15 * y.

Therefore, the difference in total premium costs over 20 years for this policy at the two age levels is 20 * x - 15 * y.

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multiply 3x-4y=-2 by three numbers and see if (6,5) is still a solution

Answers

yes it is a solution
3(6)-4(5) = -2
18-20 = -2
-2 = -2
so yes (6,5) is a solution.

What is the value of arcsin (-0.18)? Use a calculator to determine the answer.

Answers

the answer for the problem is A.

Answer:

A) -0.18 rad

Step-by-step explanation:

arcsin(x) = a means that sin(a) = x

For example

arcsin(1) = pi/2.

It means that pi/2 is the value for which the sin is equals to 1.

arcsin(-0.18)

This is the value of x for which sin(x) = -0.18. This happens for x = -0.18 rad.

So the correct answer is:

A) -0.18 rad

What is the sum of the series?

2+6+18+54+...+39,366

Answers

Try this solution (see the attachment; the given series is an geometric series).

Answer is marked by red colour.

Complete the equation of the line through (-1,6) (7,-2)

Like Y= ??

Answers

The point-slope form:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-1, 6) and (7, -2). Substitute:

[tex]m=\dfrac{-2-6}{7-(-1)}=\dfrac{-8}{8}=-1\\\\y-6=-1(x-(-1))\\\\y-6=-(x+1)\\\\y-6=-x-1\qqiad|\text{add 6 to both sides}\\\\\boxed{y=-x+5}[/tex]

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