A Sofa stores markup rate is 1/3 of the wholesales price. What is the wholesale price of a sofa if the markup is $90?

x + y + z = 13

y = 3x - 3

z = 4x

Because we have values for y and z, we can plug them into the original equation to find the value of x.

x + 3x - 3 + 4x = 13

Combine like terms.

8x - 3 = 13

Add 3 to both sides.

8x = 16

Divide both sides by 8.

x = 2

The value of x is 2.

Because we have the exact value of x, we can insert this into each x value to find the values of y and z.

y = 3(2) - 3

y = 3

z = 4(2)

z = 8

2 + 3 + 8 = 13

Okayyy, so the answer is 7.830. Adding a negative number is the same as subtracting a positive number so you can rewrite it as d-5.004=2.826, then you will add 5.004 to 2.826 and for your answer you will get 7.830.

Answer:

d=7.83

Step-by-step explanation:

Do the following

d +(-5.004)=2.826  

1) To eliminate the Parenthesis we're going to operate the plus times  -5.004:

What gives us:

d - 5.004 = 2.826

2) Let's add 5.004 to both sides to leave d alone, on ther first member:

d-5.004 +5.004= 2.826+5.004

d+0=7.830

d=7.83

[tex]5b+4+10=2 \\\\5b=-12\\\\b=-\dfrac{12}{5}[/tex]

Hello!

[tex]5b+4+10=2[/tex]

Add the numbers with 10+4=14.

[tex]5b+14=2[/tex]

Then subtract by 14 from both sides.

[tex]5b+14-14=2-14[/tex]

Simplify

[tex]5b=-12[/tex]

You can also divide by 5 from both sides.

[tex]\frac{5b}{5}=\frac{-12}{5}[/tex]

Answer

[tex]b=-\frac{12}{5}[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

the answer is 17y + 7

distribute 14y+7+3y

add like terms 17y +7

Answer:

Answer you are looking for would be C. I just finished the quiz.

Answer:

(c)

Step-by-step explanation:

In step 1, he should have added .75x to both sides.

Hey, CadenClough! For this, it's best to use algebra. We know that rectangles have two of each measure: two lengths and two widths. This means the formula to find the complete perimeter of the rectangle is 2l + 2w = p.

Now let's look at the problem. For length, we have x + 3 and for width we have 2x - 6. First off, fill in the values for length and width in the perimeter equation like this:

[tex]2(x + 3) + 2(2x - 6) = 26[/tex]

Now distribute the 2:

[tex]--> 2x + 6 + 4x - 12 = 26[/tex]

Combine like terms:

[tex]2x + 4x + 6 - 12 = 26[/tex]

Simplify:

[tex]6x - 6 = 26[/tex]

Isolate x:

[tex]6x = 26 + 6[/tex]

--> [tex]x = \frac{32}{6}[/tex]

Now plug in the value of x:

[tex]2(\frac{32}{6} + 3) + 2(2 * \frac{32}{6} - 6)[/tex]

= 64/3 - 12 + 32/3 + 6

= 26

So x = [tex]\frac{32}{6}[/tex] or 16/3.

Given : -2(5x+1) > 48

To solve for x  we need to get x alone

Lets start with removing parenthesis from left hand side

-10x -2 > 48

Now add 2 on both sides

-10x > 50

Divide by -10 from both sides. When we divide by negative number then flip the inequality sign, so > becomes <

x < -5

Answer is x< -5

Final answer:

The solution to the inequality -2(5x+1)>48 is found by distributing the -2, adding 2 to both sides, and then dividing by -10, remembering to reverse the inequality sign, resulting in x < 5.

Explanation:

To solve the inequality -2(5x+1)>48, we start by distributing the -2 across the parenthesis:

-2 * 5x - 2 * 1 > 48

-10x - 2 > 48

Now, we add 2 to both sides of the inequality to isolate the term with the variable x:

-10x > 48 + 2

-10x > 50

Next, we divide both sides by -10 to solve for x. Remember that dividing by a negative number reverses the inequality sign:

x < -50 / -10

x < 5

So, the solution to the inequality is x < 5.

Alright, let's break this down:

1. First, we will solve the addition problem on the left, which is 6.4 plus 0.92. When you add these two numbers together, you will get 7.32.

2. Secondly, we will solve the subtraction problem on the right, which is 15.74 minus 2.64. When you subtract these two numbers, you will find that the result is 13.1.

So the answer to our problem is (7.32, 13.1).

Answer:

v= p/l

Step-by-step explanation:

divide by l on both sides to get v by itself, and you have your answer.

Answer:

K(-4,8) is the ortho center.

Step-by-step explanation:

In a right angled triangle, The vertex of the right angle is the ortho center.

Here we are given

J(-4,-1), K(-4,8) & L(2,8)

Using distance formula we get

[tex]JK^{2}= (-4+4)^{2}+ (8+1)^{2}=0+81=81[/tex]

[tex]KL^{2}= (-4-2)^{2}+ (8+-8)^{2}=36+0=36[/tex]

[tex]JL^{2}= (-4-2)^{2}+ (8+1)^{2}=36+81=117[/tex]

So we can say that

[tex]JK^2 + KL^2=JL^2[/tex]

By converse of pythagorean theorem we get

[tex]<K = 90°[/tex]

Hence the Vertex of the right angle is K(-4,8)

K(-4,8) is the ortho center.

The answer is 2, Hope this helps

The Oak Island treasure is 54 feet farther below ground than the Federal Reserve gold vault.

The gold vault is located at a depth of -80 feet below ground, while the Oak Island treasure is believed to be at a depth of -134 feet below ground. This means that the Oak Island treasure is 54 feet farther below ground than the gold vault.

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Answer:

x = 10

Step-by-step explanation:

If you look at the opposite side of the "x", you see the same shape, with the same values.

You can see a congruent shape on the left side of the figure.

x = 10

quintic means degree of 5.

a negative quintic would be: f(x) = -x⁵ +              

an example with one real zero could be: -x⁵ + x³ + x + 3   (see attachment)

Well let's start with y = -x^5 and y = - x^5 +1

The graph looks like the one on the right for these two.  The red one is y = - x^5 and the blue one is y = - x^5 + 1

See below on the right

You can tell that these two are correct because there is only 1 x axis intercept for each of them.  That means there is only 1 real solution which is what you are calling for.

Another one could be something like

y = -(x - 5)(x^2 + 2)(x^2 + 3)

The graph of that is on the left.

Answer: [tex]\frac{-1}{3}[/tex] < n < [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

| 3n - 2 | - 2 < 1

              +2 +2

| 3n - 2 |       < 3

3n - 2 < 3     and     3n - 2 > -3

     +2 +2                     +2   +2

3n       < 5      and     3n      > -1

       n <  [tex]\frac{5}{3}[/tex]       and         n > [tex]\frac{-1}{3}[/tex]

[tex]\frac{-1}{3}[/tex] < n < [tex]\frac{5}{3}[/tex]

Interval Notation:  [tex](\frac{-1}{3},[/tex][tex]\frac{5}{3})[/tex]

Graph:  [tex]\frac{-1}{3}[/tex] o--------------------o [tex]\frac{5}{3}[/tex]

[tex]|3n-2|-2<1\\\\|3n-2|<3\\\\3n-2<3 \wedge 3n-2>-3\\\\3n<5 \wedge 3n>-1\\\\n<\dfrac{5}{3} \wedge n>-\dfrac{1}{3}\\\\n\in \left(-\dfrac{1}{3},\dfrac{5}{3}\right)[/tex]

Note that the slope-intercept form is: y = mx + b

First, set the equation as such

2x (-2x) + 3y = (- 2x) + 15

3y = -2x + 15

Isolate the y. Divide 3 from both sides

(3y)/3 = (-2x + 15)/3

y = (-2/3)x + 5

-2/3 is your slope

hope this helps

The answer is B because you take 6160 divided by 1760 to get 3.5 miles total.

5.83  every second, and 840000 a year.

Lawyer makes 9.72 cents per second, $840000 per year.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given that,

Rate of lawyer bills = $350/hour

Now,

Amount of money per second ⇒

$350/hour = 350/(60×60)

$0.097/seconds = 9.7 cents per second.

Amount of money per year ⇒ $350/hour = $(350 × 50 × 48)/ year

$350/hour =$840000 per year.

Hence "Lawyer makes 9.72 cents per second, $840000 per year".

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Since 0.25 is the same as 25/100, find the GCF, which is 25 and divide it on the top and the bottom. 25 divided by 25 is 1, and 100 divided by 25 is 4. So in simplest form, your answer is 1/4

The decimal number, 0.25, can be simplified or written as a fraction in simplest form as: 1/4.

To turn 0.25 into a fraction in simplest form, follow these steps:

Step 1: Write the decimal as a fraction with the decimal value as the numerator and the place value as the denominator.

0.25 = 25/100

Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

GCD(25, 100) = 25

Divide both the numerator and denominator by 25:

25/100 ÷ 25/25 = 1/4

So, 0.25 as a fraction in simplest form is 1/4.

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Hello there!

The answer should be the second option B. 250

[tex]2*(5^8/5^5)[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

[tex]2*(5^8/5^5)[/tex]

First you had to remove parenthesis.

[tex]2*\frac{5^8}{5^5}[/tex]

[tex]\frac{5^8}{5^5}=5^3[/tex]

[tex]5^3*2[/tex]

[tex]5^3=125[/tex]

[tex]2*125[/tex]

Then multiply by the numbers and it should be the correct answer.

[tex]2*125=250[/tex]

[tex]=250[/tex]

Answer⇒⇒⇒⇒⇒=250

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

The correct  answer is b) 250.

Evaluate the exponent in the denominator:

[tex]\frac{5^8}{5^5}=5^{8-5}=5^3[/tex]

The subtraction of exponents arises from the rule that when you divide two terms with the same base, you subtract the exponents.

Substitute the result back into the original expression:

[tex]2 \cdot 5^3[/tex]

Calculate the final result:

[tex]2 \cdot 5^3=2 \cdot(5 \cdot 5 \cdot 5)=2 \cdot 125=250[/tex]

So, [tex]2 \cdot \frac{5^8}{5^5}[/tex]  simplifies to 250. The key step is understanding how to handle the exponents when you divide terms with the same base. In this case, it simplifies to [tex]5^{3}[/tex] , and then you can evaluate the expression further to get the final result of 250.

Question:

Evaluate: [tex]2 \cdot \frac{5^8}{5^5}[/tex]

a) 350

b) 250

c) 225

d) 125

If you need it to be simplified then it is 4/5

Answer:

5ºF per hour decrease

Step-by-step explanation:

Given that the temperature in Fairbanks, Alaska, fell 10 degrees in 2 hours

For finding average we normally divide the total by number of units

Here change in temperature for 2 days is given as -10 degrees (negative sign is used to denote decrease)

For 2 days change in temperature = -10 degrees F

Hence average change in temperature = change for one day

= -10/2 = -5 degrees F

So answer is 5ºF per hourº decrease

Hey there!

When you write an equation in function notation, one side of the equation is, "f(x)".

You can replace x with another variable such as n if you are using a different one.

f(x) takes the place of y in an equation.

For example, the equation y = 3x + 2 in function notation is f(x) = 3x + 2.

Hope this helps!

Answer:

1.45kg of Sugar is left.

Step-by-step explanation:

First we have to make sure that both the values are represented in same units.

Lets convert 2.2kg to grams.

1 kilo gram is 1000 grams, So

2.2 kilo grams is, [tex]2.2*1000[/tex] grams. Which is equal to 2,200g.

So Bernard had 2,200g of sugar and he used 750g of it.

To find the remaining amount of sugar we need to deduct 750g from 2,200g.

[tex]2200-750=1450[/tex]

Therefore,

1450g of Sugar is left.

But the Answer should be given in kilo grams as the question requires you to do so.

So, convert grams to kilo grams you have to divide by 1000.

[tex]\frac{1450}{1000} =1.45[/tex] kilo grams.

1.45kg of Sugar is left.

He has 7 dollars left so...

We can add 7+9+12+4 to get the amount in the beginning

32$ to start with

Final answer:

To determine how much money Darryl had at the beginning of the day, we add the amounts he spent on a book, compact disc, and magazine to the money he has left, which totals $32.

Explanation:

The question involves solving a simple arithmetic problem regarding the total amount of money Darryl had at the beginning of the day, based on his expenditures throughout the day. To find out how much money Darryl had initially, we need to add up the amounts he spent on various items and then add the money he has left.

Darryl spent:

and he has $7 left.

To find the total amount Darryl had at the beginning of the day, we add up all the expenditures and the remaining amount:

$9 (book) + $12 (compact disc) + $4 (magazine) + $7 (remaining) = $32

So, Darryl had $32 at the beginning of the day.

Let's solve your inequality step-by-step.

[tex]\frac{4}{3}[/tex]s−3≥5−4

Step 1: Simplify both sides of the inequality.

[tex]\frac{4}{3}[/tex]s−3≥1

Step 2: Add 3 to both sides.

[tex]\frac{4}{3}[/tex]s−3+3≥1+3

[tex]\frac{4}{3}[/tex]s≥4

Step 3: Multiply both sides by 3/4.

([tex]\frac{3}{4}[/tex])*([tex]\frac{4}{3}[/tex]s)≥([tex]\frac{3}{4}[/tex])*(4)

Answer: s≥3

Final answer:

The line that is parallel to 4x+3y=7 and passes through (-5,2) has the equation y=(-4/3)x-14/3.

Explanation:

The line that is parallel to the line with the equation 4x+3y=7 and passes through the point (-5,2) will have the same slope as the given line. To find the slope, we need to rearrange the equation into slope-intercept form (y=mx+b), where m is the slope. In this case, we get 3y=-4x+7, which can be simplified to y=-(4/3)x+7/3. So the slope is -4/3.

Now that we know the slope, we can use the point-slope formula y-y1=m(x-x1) to find the equation of the line that passes through (-5,2).

Using y-2=(-4/3)(x-(-5)), we can simplify to y-2=(-4/3)(x+5). Expanding and rearranging, we get y=(-4/3)x-14/3.

The equation of the parallel line is: [tex]\[\boxed{4x + 3y = -14}\][/tex]

To find the equation of a line parallel to the given line 4x + 3y = 7 and passing through the point (-5, 2), follow these steps:

1. Determine the slope of the given line:

The given line's equation is in standard form: Ax + By = C. To find its slope, we can rewrite it in slope-intercept form y = mx + b, where m is the slope.

Starting with the given equation:

4x + 3y = 7

Solve for y:

[tex]\[3y = -4x + 7\]\[y = -\frac{4}{3}x + \frac{7}{3}\][/tex]

The slope m of the given line is [tex]\(-\frac{4}{3}\).[/tex]

2. Use the slope of the parallel line:

Since parallel lines have the same slope, the line we are looking for also has a slope of [tex]\(-\frac{4}{3}\).[/tex]

3. Use the point-slope form to find the equation of the new line:

The point-slope form of a line's equation is given by:

[tex]\[y - y_1 = m(x - x_1)\][/tex]

where [tex]\((x_1, y_1)\)[/tex] is a point on the line, and m is the slope.

Here, the point (-5, 2) and slope [tex]\(m = -\frac{4}{3}\):[/tex]

[tex]\(-\frac{4}{3}\).[/tex]

[tex]\[y - 2 = -\frac{4}{3}(x + 5)\][/tex]

Simplify the equation:

[tex]\[y - 2 = -\frac{4}{3}x - \frac{4}{3} \cdot 5\]\[y - 2 = -\frac{4}{3}x - \frac{20}{3}\][/tex]

Add 2 (or [tex]\(\frac{6}{3}\))[/tex] to both sides:

[tex]\[y = -\frac{4}{3}x - \frac{20}{3} + \frac{6}{3}\]\[y = -\frac{4}{3}x - \frac{14}{3}\][/tex]

The equation of the line parallel to 4x + 3y = 7 and passing through (-5, 2) is:

[tex]\[y = -\frac{4}{3}x - \frac{14}{3}\][/tex]

Converting back to standard form for consistency:

[tex]\[3y = -4x - 14\]\[4x + 3y = -14\][/tex]

Therefore, the equation of the parallel line is:

[tex]\[\boxed{4x + 3y = -14}\][/tex]

ANSWER

[tex]5N^2=3^{2} \times 5^{5} \times x^{6}[/tex]

EXPLANATION

[tex]N=3\times5^2 \times x^3[/tex].

[tex]5N^2=5(3\times5^2 \times x^3)^2[/tex]

Recall this property of exponents;

[tex](a^m)^2=a^{m} \times a^m[/tex]

So our product becomes;

[tex]5N^2=5(3\times5^2 \times x^3) \times (3\times5^2 \times x^3)[/tex]

[tex]5N^2=5\times 3\times 3 \times 5^2 \times 5^2 \times x^3 \times x^3[/tex]

[tex]5N^2=3\times 3\times 5 \times 5^2 \times 5^2 \times x^3 \times x^3[/tex]

Recall this law of exponents:

[tex]a^m \times a^n =a ^{m+n}[/tex]

[tex]5N^2=3^{1+1} \times 5^{1+2+2} \times x^{3+3}[/tex]

[tex]5N^2=3^{2} \times 5^{5} \times x^{6}[/tex]