Jose bought a sofa on sale for $527. The price was 38% less than the original price. What was the original price

The answer is C. 3x+5= 5x -8

Final Answer:

The equation that has the solution [tex]\( x = 5 \) is \( 3x + 1 = 9 \)[/tex].

Upon solving [tex]\( 3x + 1 = 9 \)[/tex], we find [tex]\( x = \frac{8}{3} \)[/tex]. However, this does not satisfy the condition [tex]\( x = 5 \)[/tex]. None of the other given equations meet the criteria, making [tex]\( 3x + 1 = 9 \)[/tex] the correct choice.

Step-by-step explanation:

The equation 3x + 1 = 9 can be solved to find the value of x.

Starting with the given equation:

[tex]\[3x + 1 = 9\][/tex]

Subtract 1 from both sides:

[tex]\[3x = 8\][/tex]

Now, divide both sides by 3:

[tex]\[x = \frac{8}{3}\][/tex]

However, we're looking for a solution where x equals 5. Since [tex]\(\frac{8}{3} \neq 5\)[/tex], the equation 3x + 1 = 9 does not satisfy the condition x = 5.

Now, let's analyze the other equations:

1. For the equation [tex]\(\frac{25}{x+4} = 9\)[/tex], if we substitute x = 5, the left side becomes [tex]\(\frac{25}{9}\)[/tex], which is not equal to 5.

2. For the equation [tex]\(\frac{x}{5} + 5 = 6\)[/tex], if we substitute x = 5, the left side becomes [tex]\(1 + 5\)[/tex], which is not equal to 6.

3. For the equation [tex]\(18 - 2x = 9\)[/tex], if we substitute x = 5, the left side becomes [tex]\(18 - 10\)[/tex], which is not equal to 9.

4. For the equation [tex]\(32 - 4x = 12\)[/tex], if we substitute x = 5, the left side becomes [tex]\(32 - 20\),[/tex] which is not equal to 12.

5. For the equation [tex]\(11 + 6x = 22\)[/tex], if we substitute x = 5, the left side becomes[tex]\(11 + 30\)[/tex], which is not equal to 22.

Therefore, the only equation among the given options that satisfies the condition x = 5 is 3x + 1 = 9.

Answer:

6.35 cm

Step-by-step explanation:

Did this exam on FLVS.

02.07 Unit Conversions right?

well hope this helped!!

Answer:

X = 8

Step-by-step explanation

First thing to do, is add 7 to both sides to make it -1/2X=-4. Then multiply both sides by the reciprocal (flip fraction) to make it X = 8. Because when you multiply -4 by -2/1 (or just -2) you get 8. Hope I helped! :D

Split the second term in 4m^2 + 16m + 15 into two terms

4m^2 + 10m + 6m + 15

Factor out the common terms in the first two terms, then in the last two terms

2m(2m + 5) + 3(2m + 5)

Factor out the common term 2m + 5

(2m + 5)(2m + 3)

4m^2 + 16m + 15

With the way the trinomial is, we cannot factor it in it's current state.

We must check to see if splitting the middle term is possible.

List factors of 60

1 * 60

-1 * -60

2 * 30

-2 * -30

3 * 20

-3 * -20

4 * 15

-4 * -15

5 * 12

-5 * -12

6 * 10 (this digits satisfy the criteria for splitting the middle term.)

Split the middle term.

4m^2 + 6m + 10m + 15

Group the polynomials in terms of 2.

(4m^2 + 6m) + (10m + 15)

Factor each binomial.

2m(2m + 3) + 5(2m + 3)

Rearrange the binomials.

(2m + 5)(2m + 3)

The correct answer is:   [B]:    " (x + 5) " .

______________________________

Explanation:

To solve:

_______________________________

Given:

_______________________________

" x²  +  13x + 40 " ;  factor into "two terms" ;

    →  that is;    "factor into 2 (two) binomial expressions" .

____________________________

  What 2 (two) factors of:  "+ 40"  add up to " + 13 " ?  ;

____________________________  

+ 40, + 1  ?? ;  →   +40 + (+1) = +41 ;  →  + 41 ≠  + 13 ;

 - 40 + (-1) ?? ;  →  - 40 + (-1) = - 40 - 1 = - 41 ;  →  - 41  ≠ +13 ;

  +8, + 5 ?? ;     →  + 8 + 5 = + 13 ;  →  + 13  = + 13 .  Yes!

So;  the factors of:  " x²  +  13x + 40 "  ;

are:  " (x + 5) (x + 8) " .

______________________________

        Among this 2 (two) binomial factors:  "(x + 5)"  AND:  "(x + 8)" ;

  one of these:  " (x + 5) "   —   appears among the answer choices provided;

        →  which is:     [B]:    " (x + 5) " .

______________________________

The correct answer is:    [B]:     " (x + 5) " .

______________________________

Hope this helps!

  Best wishes in your academic endeavors — and

     within the "Brainly" community!

______________________________

1.40/3.5=.4

that would be your answer

Answer:We must get more than 7 digs in the remaining 5 games  to break record of 26.

Step-by-step explanation:

Given situation:- Let  x represents the number of digs which we must get in the remaining 5 games to break your record ,and we have 19 digs for our current volleyball season.

To break  previous record of 26 digs in a season, we have to get more than 26 i.e. 19 digs added to x must be greater than 26

⇒x+19 ≥ 26

⇒x≥26-19⇒x≥7

Therefore,we must get more than 7 digs in the remaining 5 games  to break record of 26.

The inequality that represents the number x of digs you must get in the remaining is x > 7

Let 19 represent  the  digs you have in this season

Let x represent the digs you have  in the remaining games.

Hence, x+19 will represent the  digs you get for the season.

Now let solve an inequality that represents the number x of digs

19 + x > 26

x>=19-26

x > 7

Inconclusion The inequality that represents the number x of digs you must get in the remaining is x > 7.

Learn more here:

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The answer is 22 because in order to divide fractions (in this case we would have 11 as a fraction), you need to multiply one fraction by the reciprocal of the other fraction (the flipped form of a fraction).

To find this, we would do [tex]\frac{11}{1}[/tex] * [tex]\frac{9}{18}[/tex].

This would come to be [tex]\frac{198}{9}[/tex], and when simplified by dividing the numerator and denominator by 9, you get 22.

Hey there,

783 rounded to the nearest hundred is 800.

- Ari -

The hundreds digit is the 7.

Everything to the right of the 7 becomes zero giving you 700.

Now look at the original digit to the right of the 7 in the number 783. It is an 8. Since an 8 is greater than or equal to 5, the previous digit goes up by 1, so the 7 becomes an 8.

Answer: 800

2. Because it is being reflected across the X axis, the X coordinate would change signs, but the Y coordinate would remain the same sign.

A(-6,-4) would become A'(6,-4)

B(-3,5) would become B'(3,5)

C(1,-1) would become C'(-1,-1)

The answer would be the third choice.

3. Reflected across the Y axis, the X would stay the same sign and the Y would change signs.

P(-2,-4) would become P'(-2,4)

Q(2,-5) would become Q'(2,5)

R(-1,-8) would become R'(-1,8)

The answer would be the second choice.

Answer:

10,200,000

Step-by-step explanation:

Note the hundred thousands place value (underlined and bolded):

10,160,555

Look at the value of the number directly to the right. It is a 6. Because 6 is greater than 5, round up

10,160,555 rounded to the nearest hundred thousand is 10,200,000.

~

The number 10,160,555 rounded off to the nearest hundred thousand is 10,000,000.

The question asks for 10,160,555 to be rounded off to the nearest hundred thousand. When rounding to the nearest hundred thousand, we look at the digit in the ten-thousand place. In this case, that digit is 1. Since 1 is less than 5, we keep the digit in the hundred-thousand place as is and change all digits to its right to zero.

This gives us the rounded answer: 10,000,000.

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Answer:

7

Step-by-step explanation:

Formula

Total Juice boxes(T) = number of packs(n) * amount in each pack(a)

T = n * a

Givens

T = 84

n = ???

a = 12

Solution

T = n * a      Substitute givens

84 = 12*n    Divide by 12

n = 84 /12  

n = 7            Answer number of packs of 12

Your corresponding angles is wrong. Instead, use 9 and 12.

That's about it. Good luck!

[tex]-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8[/tex]

Hello there!

The answer it should be the the last option "x=8".

[tex]-5x+6(4x+15)=242\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First you had to expand the form.

[tex]6(4x+15):24x+90[/tex]

[tex]-5x+24x+90=242[/tex]

Then you had to add similar by the elements.

[tex]-5x+24x=19x[/tex]

[tex]19x+90=242[/tex]

You had to subtract by 90 from both sides of the equation.

[tex]19x+90-90=242-90[/tex]

Simplify

[tex]19x=152[/tex]

Divide by 19 from both sides of the equation.

[tex]\frac{19x}{19}=\frac{152}{19}[/tex]

Simplify it should be the correct answer.

[tex]x=8[/tex]

Answer⇒⇒⇒⇒x=8

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Let the first angle be x

Sum of complementary angle is 90

Then second angle will be 90- x

As difference is 14

Therefore

x - (90-x) =14

x-90+x=14

2x = 14 +90

x = 104/2

x = 52

B due to 52-14=38 and 38+52=90

16-4(5-x)=8

16-20+4x=8

-4+4x=8

4x=12

x=3

Answer:

Principal = $4,500

Rate of interest=3%

Time = x years

We have to find number of years such that

Amount ≤$7020

Amount ≤ Principal + Simple interest

7020≤4500+ S.I

S.I≥7020-4500

S.I≥$2520

Formula for simple interest

S.I=[tex]\frac{P\times R \times T}{100}[/tex], where P=Principal, R=Rate of interest, T=time

2520≥[tex]\frac{4500 \times 3 \times x}{100}[/tex]

[tex]\frac{2520 \times 100}{4500 \times 3} \leq x[/tex]

x≤[tex]\frac{56}{3}[/tex]

So, the solution set is (0,[tex]\frac{56}{3}[/tex]]

Answer:    

The solution set to the given inequality : 0 < x ≤ 18.67

Step-by-step explanation:

Principal = $4500

Simple Interest Rate = 3%

                                  = 0.03

Time = x year

Amount in the account will be less than or equal to $7020

⇒ Amount ≥ Principal × (1 + Rate × Time)

⇒ 7020 ≥ 4500(1 + 0.03·x)

⇒ 7020 ≥ 4500 + 135·x

⇒ 2520 ≥ 135·x

⇒ 18.67 ≥ x

The solution set to the given inequality : 0 < x ≤ 18.67

It would be second choice

Answer:

None of the above.

Step-by-step explanation:

Given,

The area of ground covered by each bag = 12x square feet,

Let A be the total area of the land,

So, the total number of bags required = [tex]\frac{\text{total area}}{\text{area covered by each bag}}[/tex]

[tex]=\frac{A}{12x}[/tex]

Also, the cost of each bag  = 22 dollars,

So, the total cost to cover the ground ( say C ) = number of bags required × cost of each bag

[tex]C=\frac{A}{12x}\times 22[/tex]

For minimizing C we need the value of A,

Hence, none of the given options are correct.

- The sample size is 64.

- The point estimate of the population proportion is 0.625.

-The margin of error is approximately 16%.

Answer:

Step-by-step explanation:

Given that Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.

Out of the statements given the true statements are :

1) The sample size is 64

2) The point estimate of the population is sample proportion =40/64 =5/8

=0.625

3) Margin of error = std error x 2.58

Std error = sq rt pq/n

p=0.625 and q = 0.375

Hence std error = 0.060

Margin of error = 0.156

Round off to 0.16 = 16%

[tex]\dfrac{2}{3}(4x-5)=8\qquad|\text{use the division property of equality}\\\\\dfrac{2}{3}(4x-5):\dfrac{2}{3}=8:\dfrac{2}{3}\\\\\dfrac{2}{3}(4x-5)\cdot\dfrac{3}{2}=8\cdot\dfrac{3}{2}\\\\4x-5=4\cdot3\\\\4x-5=12\qquad|\text{use addition property of equality}\\\\4x-5+5=12+5\\\\4x=17\qquad|\text{use the division property of equality}\\\\4x : 4=17:4\\\\x=\dfrac{17}{4}[/tex]

One pane costs $2.45, therefore 2 panes would cost  $4.90. and the combined cost of all seven panes would be $17.15. I got this by dividing 12.25 by 5 and multiplying that by 7 to get 17.15. I hope this helped you with your question :)

The cost of another 2 panes of glass is $4.90.

To find the cost of another 2 panes of glass, we first need to determine the cost per pane of glass. Since the nursery owner bought 5 panes of glass for $12.25, we can divide the total cost by the number of panes to get the cost per pane: $12.25 ÷ 5 = $2.45

Since the owner broke 2 more panes, we can multiply the cost per pane by the number of additional panes needed: $2.45 × 2 = $4.90

Therefore, the cost of another 2 panes of glass is $4.90.

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Width=10

Length=20

10 is half of 20

10 × 20 = 200,

The width of the rectangle is 10 centimeters and the length is 20 centimeters. This is determined by using the formula for area of a rectangle, length times width, and substituting the given values.

To solve this problem, we'll use the formula for the area of a rectangle, which is length times width. We're told that the length is 2 times the width and the area is 200 square centimeters.

Let's designate the width as x. So the length is 2x. Since area is length times width, the equation is 2x*x=200. This simplifies to 2x2=200, or x2=100. Therefore, x equals 10 (as we don't consider a negative number for measurement). The width of the rectangle is 10 centimeters and the length, being 2 times the width, is 20 centimeters.

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Moving the decimal 3 places to the right

The correct option is c.

To multiply a whole number by 1,000, move its decimal point three places to the right and add zeros.

To multiply a whole number by 1,000, which is equivalent to adding three zeros to the end of the number, you would:

c). Move the decimal point three places to the right and fill in the blank places with zeros.

Let's illustrate with an example:

If we have the whole number 5, multiplying it by 1,000 would result in 5,000.

To achieve this using option c):

- Start with 5.

- Move the decimal point three places to the right: 5.000.

- Fill in the blank places with zeros: 5,000.

This process ensures that the value increases by a factor of 1,000, which matches the result of multiplying the whole number by 1,000. Therefore, option c) is the correct procedure.

The complete question is here:

Which of these procedures is the same as multiplying a whole number by 1,000?

a). add 1000 to the whole number, 3 times

b). multiply the whole number by 3, ten times

c). move the decimal point there places to the left and fill in the blank places with zeros

d). move each digit of the whole number three places to the left and fill in the blank with places with zeros

y=4/5 x      is a proportional relationship