A garden table and a bench cost $659 combined. The garden costs $91 less than the bench. What is the cost of the bench?

Answer:

8.4

Step-by-step explanation:

(7/8) (4) = 3.5

(1/10) (8) = 0.8

3.5 × 0.8 × 3 = 8.4

Hope this helps.

Answer:

See below.

Step-by-step explanation:

(-3,1) and (-1,5)

The formula for finding slope is (y²- y¹)/(x²- x¹).

(5-1)/(-1-(-3))

(4)/(2)

2

The slope would be 2.

-hope it helps

Hi! I hope you're enjoying your day!

Use the Slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\bold{\displaystyle\frac{5-1}{-1-(-3)}}[/tex]

[tex]\bold{\displaystyle\frac{4}{-1+3} =\frac{4}{2} =2}[/tex]

Hence, the slope is

[tex]\boxed{\boxed{\bold{2}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

♧ So, after 3 years = x+81 +3

♧ now grouping the variables and constants together we get,

♧ Thus, Victor's present age is 24 yrs.

Hope it helps ya ~

Answer:

Victor's age = 24 years old

Step-by-step explanation:

Let age of Mr. Smith = x and age of Victor = y.

According to the question, we can find two equations.

=> 1) x = y + 81

=> 2) x + 3 = 4(y + 3)

Substituting value of x in (1) to (2)

y + 81 + 3 = 4y + 12

3y = 72

y = 24

Victor's age = 24 years old

Answer:

Step-by-step explanation:

if 1l = 100cl

1l×1/100cl×4=1l /400cl

Answer:

There is no values of c that makes it true

Step-by-step explanation:

The roots of the quadratic equation x² – 2x + c = 0 are 0 and –2. Then the value of c is zero.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

For which values of c does the quadratic equation

x² – 2x + c = 0 ...1

The one root is equal to zero and one negative root.

Let negative a be the one root.

x = 0, –a

Then we have factorized the equation,

(x)(x + a) = 0

On solving, we have

x² + ax = 0 ...2

In comparing equation 2 with equation 1, we have

a = –2 and c = 0

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

This is the Answer to this question  

Answer:

Below

Step-by-step explanation:

5 (15) - 8 (7)= 20

75-56=20

19=20

19<20

Answer: [tex]1.47*10^4[/tex]

[tex]8.3*10^{-4}[/tex]

[tex]7.6*10^8[/tex]

[tex]3.8*10^{-2}[/tex]

[tex]3.8*10^{-1}[/tex]

[tex]3.8*10^0[/tex]

[tex]3.8*10^{12}[/tex]

[tex]9.0*10^{-10}[/tex]

Step-by-step explanation:

Scientific notation is a way of expressing numbers that are too large or too small.

To figure out the power of 10, think "how many places do I move the decimal point?"

1. When the number is 10 or greater, the decimal point has to move to the left, and the power of 10 is positive.

2. When the number is smaller than 1, the decimal point has to move to the right, so the power of 10 is negative.

Answer:the one near 45 is 5 and the straight line is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.

After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.

Therefore we can write the following equation:  (Where d = number of days)

B = 10 + 8d

W = 0 + 9d = 9d

We are told that eventually they will sell the same amount which means

B = W

This means we can say,

10 + 8d = 9d

If we subtract 8d from both sides we get

10 = d

Therefore it will take 10 days for them to sell the same amount of cookie dough.

Answer: 10 days

10 + 8 x 10 = 90

9 x 10 = 90.

It will take 10 days for Ben and Winston to sell the same amount of cookie dough.

Answer:

$20.48

Step-by-step explanation:

$1.28 multiplied by 16

Answer: A protractor The measure is 120

Explanation: Line up the vertex of the angle with the dot at the center of the protractor. Line up one side of the angle with 0 degrees on the protractor. Read the protractor to see where the other side of the angle crosses the number scale. (Hopes this helps!)

Answer:

5x^3-2

Step-by-step explanation:

Two less than the product of 5 and the cube of a number.

The product of 5 and the cube of a number can be translated to look like 5x^3.

You then take 5x^3 and subtract 2 to get 5x^3-2.

Step-by-step explanation:

please mark me as brainlest

The equation of the line plotted in the graph with the similar triangles on the coordinate plane is y equal to three-fourths x.

Symbolically, it can be written as,

[tex]y=\dfrac{3}{4}x[/tex]

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

[tex]y=mx+c[/tex]

Here, (m) is the slope of the line and (c) is the y intercept.

The similar triangles on the coordinate plane to determine the equation for the given line. The line and the triangle is graphed in the image attached below.

The line passes from origin point (0,0). The coordinate points on the line say P are (4,3) as shown in the image. Thus, for this the slope of the line can be given as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{3-0}{4-0}\\m=\dfrac{3}{4}[/tex]

The equation of the line for 3/4 slope is,

[tex]y=\dfrac{3}{4}x[/tex]

Hence, the equation of the line plotted in the graph with the similar triangles on the coordinate plane is,

[tex]y=\dfrac{3}{4}x[/tex]

Learn more about the equation of line here;

https://brainly.com/question/13763238

Answer:

Its A. :]

(Edge 2022)

The amount more in interest over the life of the loan which Nellie have to pay is $14814.

Bankruptcy is the procedure by which the people who are unable to pay the debts to creditors, may get relief from some or all the debts.

Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans.

Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. Thus, the interest is,

[tex]I=\dfrac{45000\times6\times15}{100}\\I=40500[/tex]

If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. In this case, the interest paid would be,

[tex]I=\dfrac{45000\times6\times6}{100}\\I=16200[/tex]

The difference between the interest paid would be,

[tex]I=40500-16200\\I=24300[/tex]

Hence, the amount more in interest over the life of the loan which Nellie have to pay is $14814.

Learn more about the bankruptcy here;

https://brainly.com/question/7780877

Answer:

The answer is A)

Step-by-step explanation:

To find out table contains a set of points that lie in the graph of this function , we have to hit and trial method ,

when we put the value of x in y = –2x + 3 this equation so ,

taking x = 1 , then the value of y is

=> y = -2(1)+3

=> y = -2+3

=> y = 1

taking x = 0 , then the value of y is

=> y = -2(0)+3

=> y = 3

now talking x = -3 , then the value of y is

=> y = -2(-3) +3

=> y = 6+3

=> y = 9

so , the option A is the right answer

Answer:

A)

Step-by-step explanation:

Given linear function:  y = -2x + 3

Therefore, the slope is -2 and the y-intercept is (0, 3)

Therefore, we are looking for a set of ordered pairs that has a rate of change of -2

⇒ as the x-value increases by 1 unit, the y-value decreases by 2 units

i.e. as the x-value decreases by 1 unit, the y-value increases by 2 units.

The only set of ordered pairs that follows this rule is A)

Let's check by substituting the values of x = 1, x = 0 and x = -3 into the function:

when x = 1 → -2(1) + 3 = 1

when x = 0 → -2(0) + 3 = 3

when x = -3 → -2(-3) + 3 = 9

Confirming that the set of ordered pairs in A) lie on the graph of the given function.

Answer:

895.53 gallons per hour

Step-by-step explanation:

rate of change in water level (r) = totals gallons divided by number of hours to drain

r = 10567.2/11.8

r = 895.53 gallons per hour

Answer:

6.4

Step-by-step explanation:

divide 4 by 30 in order to find out how many miles she can run in a minute. I got 0.13333333 and multiplied that by 48, which got me 6.4 as the answer but I'd double check.

Answer:

6.4 millas.

Step-by-step explanation:

es una simple regla de tres:

4 es a 30

x es a 48

x es igual a 48*4/30

x es igual a 6.4

Answer:

10.53 ft.²

Step-by-step explanation:

Area of a rectangle: length x width

length: 3.9

width: 2.7

3.9 x 2.7 = 10.53

Answer:

$486 (Paul)

$243(Brian)

$81(Colin)

Solving steps:

let Paul Be x, Brian be x,Colin be x

since Paul got twice as much as Brian which shows that brian and got three times

So Paul,= 3×2 so he got six times as much as the two others

while Brian got three times

and colins got once

so let's make an equation for this problem

=> 6x + 3x + x = $810

add 6 x + 3 x + x which give you 10 x

=> 10x = $810

divide both side by the coefficient of x

=> [tex] \frac{10x}{10} = \frac{810}{10} [/tex]

=> [tex]x = \frac{810}{10} [/tex]

=> x = 81

since you we have find what the value of x

insert into the previous equation which is

=> 6x + 3x + x

=> 6(81) = $486-----(for Paul)

3(81) = $243-------(for Brian)

(81) = $81 ---------(for Collin)

Answer:

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

4 is an evident zero of the equation x^3 - 64.

x^3 - 64 can only be factorized with (x-4) and not with (x+4)

because x - 4 = 0 <==> x = 4 and 4^3 -64 = 0

Developing B) would be:

x^3 + 4x^3 + 16x - 4x^2 - 16x - 64 = 5x^3 - 4x^2 -64

So it doesn't match so it's D)

Answer: Faith's printing account balance will become $-1.90, or $1.90 below 0.

Step-by-step explanation:

Each sheet of paper can print 4 pages. Since it is 47 pages long, she will need 12 pages. That will cost 3 dollars, since 0.25x12=3. 1.10-3=-1.90 dollars, which means that she is $1.90 in debt.

Since both angles will be a part of triangle, and the third angle would be 90° as, the vertices meet at an centre of diagonal, hence they bisect each other.

7x-12 +(10x+5) = 90°

==> 17x -7= 90°

==> 17x = 97°

==> x = 97°/17

==> x = 5.70° (approx)

Answer:

Yes, he is correct, 240 miles will require a gas volume of 13.71 gallons which is less than 15 gallons in  Enrique's car.

Step-by-step explanation:

Given;

total volume of gas in Enrique's car, V = 15 gallons

The rate of gas consumption [tex]= \frac{35 \ miles}{2 \ gallons} = 17.5 \ miles/gallon[/tex]

To drive 240 miles, he would need the following volume of gas;

[tex]V = 240 \ miles* \frac{1}{\frac{17.5 \ miles}{gallon} }\\\\ V = 240 \ miles*\frac{1*gallon}{17.5 \ miles}\\\\ V = (\frac{240 \ miles}{17.5 \ miles} )gallon\\\\V = 13.71 \ gallons[/tex]

The volume of gas needed to drive 240 miles is less than the total volume of gas in Enrique's car.

Thus, he is correct

Answer:Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?

Step-by-step explanation:

Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?