Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be used to find the time in hours, t, it would take jose and brandon to paint the house together. You do not need to solve the equation.

Answers

Answer 1

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

To solve the question we have to figure out how much each of them can paint in ONE hour.

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

Equation

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours


Related Questions

Adrianna has fabric that is 34 yard long. She needs to cut the fabric into pieces that are 18 yard long. How many 18 -yard-long pieces will she have?




Question 4 options:


6



7



8



9


(Will give brainliest- please explain)

Answers

Answer:

2

Step-by-step explanation:

Dividing 18 yds into 34 yds yields 2; Adrianna will have 2 pieces 18 yds long, with 8 yds left over.

Why do insurance companies charge more for women than men? Is that fair? Why or why not?

Answers

Answer:

because women are still commonly looked down upon, and men more superior. It is not fair due to the fact that women get paid less and men get hired for more jobs.

Step-by-step explanation:

Shaun's savings can be modeled by the regression equation y = 6x^2 + 75x+200. Which of the following is the best prediction for the amount he will have saved after 25 months?

A. $3,791
B. $4,754
C. $2,936
D. $5,825

Answers

Answer:

D

Step-by-step explanation:

The equation given gives y in terms of x, where y is Shaun's savings and x is the number of months.

We want to know the amount he will save in 25 months, so we can plug in x = 25 into the equation and get a value of y, that is the amount he will save. So:

[tex]y = 6x^2 + 75x+200\\y = 6(25)^2 + 75(25)+200\\y=5825[/tex]

D is the correct answer.

The mass of a ball is 128 g. It has a density of 0.5 g/cm³.
What is the volume of the ball?

Show your work and place a box around your answer.

Answers

Answer:

The volume of the ball is 256 cm³

Step-by-step explanation:

we know that

The density is equal to the ratio of the mass by the volume

D=m/V

Solve for V

The volume is equal to the ratio of the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Write an equation for that graph,where y depends on x.

____

Answers

Final answer:

To create an equation for a graph where y depends on x, identify the type of relationship presented by the graph. For a linear relationship, use the formula y = mx + b, where 'm' is the slope and 'b' is the y-intercept. Determine the slope using two points on the line and then solve for 'b' using the slope and one of the points.

Explanation:

Creating an equation for a graph where y depends on x is a common task in algebra. It's essential to identify the type of relation presented by the graph, which may include linear, quadratic, exponential, or logarithmic relationships. Let's assume, for example, that the graph represents a simple linear relationship.

In this case, you would use the formula for a line, which is y = mx + b. 'm' represents the slope of the line, and 'b' stands for the y-intercept.

To find the slope 'm', you can choose two points on the line and calculate the change in y divided by the change in x. Once the slope is determined, plug one of the points' coordinates into the equation and solve for 'b', the y-intercept. This will give you the equation for the line.

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The equation for that graph, where y depends on x can be expressed in slope-intercept form as: y = -2x + 6.

What is the equation of a linear graph?

To find the equation of the line, you can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. First, find the slope (m) using any two given points on the graph, i.e. (0, 6) and (4, -2):

[tex]\[ m = \frac{{\text{{change in }} y}}{{\text{{change in }} x}} = \frac{{-2 - 6}}{{4 - 0}} = \frac{{-8}}{{4}} = -2 \][/tex]

Now, substitute one of the points (e.g., (0, 6)) and the slope into the equation:

y = mx + b

6 = -2(0) + b

b = 6

So, the equation of the line is y = -2x + 6.

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Three scatterplots are shown, along with their best-fit lines and correlation coefficients, r1, r2, and r3. Choose the correct statement.


A) r1 < r2 < r3


B) r2 < r1 < r3


C) r3 < r2 < r1


D) r1 < r3 < r2

Answers

Answer:

C) r3 < r2 < r1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

HELP ASAP PLEASE!!!

If f(x)=5x-1, What is f^-1 (f(2))?

A. 44

B. -2

C. -44

D. 2

Answers

Answer:

(D) 2

Step-by-step explanation:

f(x) = 5x - 1

y = 5x - 1

5x = y + 1

x = (y + 1)/5

f⁻¹ (x) = (x + 1)/5

f(x) = 5x - 1

f(2) = 5(2) - 1

f(2) = 9

f⁻¹ (x) = (x + 1)/5

f⁻¹ (f(2)) = (9 + 1)/5

f⁻¹ (f(2)) = 2

A rectangular prism is 3 inches long, 5 inches wide, and has a height of 6 inches. What is its surface area?

a.63 in2
b. 90 in2
c.120 in2
d.126 in2

Answers

Answer:

the answer is D.126

Step-by-step explanation:

Use the formula A=2(wl+hl+hw)

what is the probability of selecting a number that is a multiple of 15?

Answers

Answer:

well since there are infinite numbers the probability is hard to solve. is there like a:

what is the probability of selecting a number that is a multiple of 15 in a hat that has paper with numbers from 1- 100

kind of thing?

Step-by-step explanation:

Which describes the correct order of steps for constructing an angle bisector of ∠DEF using only a straightedge and compass?

ANSWER CHOICES IN 2ND IMAGE.

Answers

Answer:

D

Step-by-step explanation:

The following steps describes the correct order of steps for constructinf an angle bisector of angle DEF.

(1). Draw a circle with a radius less then the arms of angle.

(2). Draw a line from point of intersections of arc (circle) and arms of the angle.

(3). Draw two circles with radius = distance between point of intersection of circle and arms of angle, center taken as point of intersection of circle and arms. than draw an equilateral triangle.

(4). Use a straightedge to connect the vertex of angle and the right  most vertex of the equilateral triangle.

Hence option D is correct.

A rectangle measures 3 inches by 4 inches. If the lengths of each side double,what will its area be

Answers

6x8= 48 inches

3 doubled=6

4 doubled=8

By graphing both sides of the equation, determine whether the following is an identity:
1+sec^2x= tan^2 x

Answers

Graphing is overkill... Let [tex]x=0[/tex]. Then [tex]\sec0=1[/tex], while [tex]\tan0=0[/tex]. But [tex]1+1=2\neq0[/tex], so this is not an identity.

Answer:

It is not an identity

Step-by-step explanation:

If you graphic the two equations (left and right) separately, if they are an identity, they will be the same graphic, which is not true in this case.

Another way in order to know if an equation is an identity, you can replace some values ​​at x, for example 2 values:

X=30

X=60

And now we substitute in the equation, like this:

[tex]1+sec^2(30)=tan^2(30)[/tex]

2,33=0,33 this is not equal on both sides

[tex]1+sec^2(60)=tan^2(60)[/tex]

5=3 this is not equal on both sides

And if the results for each number x are the same on both sides of the equation, it is an identity. In this case they are different.

Given that lines b and c are parallel, select all that apply. Which pairs of angles are supplementary?



1 and 4


5 and 6


2 and 8


3 and 6

Answers

Supplementary angles, totaling 180 degrees, are demonstrated by ∠2 and ∠4, as well as ∠3 and ∠5, in the context of lines b and c, as depicted in the diagram.

Supplementary angles are pairs of angles whose measures add up to 180 degrees. In the context of lines b and c, the identified supplementary angle pairs are ∠2 and ∠4, as well as ∠3 and ∠5. These pairs satisfy the condition that the sum of their measures equals 180 degrees. Visually, this relationship is evident in the provided diagram, reinforcing the concept of supplementary angles. Specifically, the equation ∠2 + ∠4 = 180° and ∠3 + ∠5 = 180° illustrates the supplementary nature of these angle pairs. Understanding supplementary angles is crucial in geometry, as it provides a fundamental principle for evaluating the relationships between angles formed by intersecting lines. In the given scenario, the angles ∠2, ∠4, ∠3, and ∠5 exhibit supplementary properties, emphasizing their collective role in forming a straight line and contributing to the overall understanding of geometric configurations.

The correct question maybe :-

Given in the attachment

a parabola is the set of all points that:

Answers

Answer:

Option C.

Step-by-step explanation:

Option C. A parabola is a set of all points that are the same distance from a point called focus and a line called vertex.

The correct option is option C.

A parabola is a set of all points that are the same distance from a point called focus and a line called vertex.

The parabola is symmetric about its axis.

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Rewrite the following parametric equations in rectangular form.

x=e^3t and y= e^-t

a. y=3/x, x>0
b.x= 1/y^3, y>0
c. x= -y^3,y<0
d. y= 1/x^3, x>0

Answers

Answer:

Answer choice B

Step-by-step explanation:

What is this equal to?

Answers

ANSWER

[tex] \sum_{n=1} ^{32} (4n + 1) = 2144[/tex]

EXPLANATION

The given series is

[tex] \sum_{n=1} ^{32} (4n + 1) [/tex]

The first term in this series is

[tex]a_1=4(1) + 1 = 5[/tex]

The last term is

[tex]l = 4(32) + 1 = 129[/tex]

The sum of the first n terms is

[tex]S_n= \frac{n}{2} (a + l)[/tex]

The sum of the first 32 terms is

[tex]S_ {32} = \frac{32}{2} (5 + 129)[/tex]

[tex]S_ {32} =16 \times 134[/tex]

[tex]S_ {32} =2144[/tex]

Therefore,

[tex] \sum_{n=1} ^{32} (4n + 1) = 2144[/tex]

Pls answer this question

x^2 -4x +2=0

Answers

There are two options of x. You have both of them in picture 1.

Answer:

Step-by-step explanation:

x² - 4x +2=0

(x² - 4x +4) - 4+2=0

(x - 2)²= 2

x - 2 = √2   or x- 2 = -√2

x=2+√2 or x=2-√2

note : same solution :Magdaloskotova Beginner

(4+2√2)/2   = 2(2+√2)/2 = 2+√2

(4-2√2)/2   = 2(2-√2)/2 = 2-√2

This is the graph of f(x)=4(1/2)^x. What is the horizontal asymptote of f(x)?

Answers

ANSWER

The correct choice is D.

EXPLANATION

See the attachment for explanation;

HELP PLEASE!!!


What is the solution to the system of equations below?

y=1/2x-4 and y=-2x-9


A) (-2,-5)

B) (-2,-3)

C) (2, -3)

D (2,-13)


PLEASE HELP THANKS!!


Answers

Answer:

(-2,-5)

Step-by-step explanation:

y=1/2x-4 and y=-2x-9

Just substitute one into the other and then solve for x. Then go back to get y.

1/2x-4=-2x-9

Add 4 on both sides

1/2x =-2x-5

Add 2x on both sides

2.5x=-5

Divide both sides by 2.5

x=-5/(2.5)=-2

Plug into y=-2x-9 to find y.

y=-2(-2)-9=4-9=-5.

Answer (-2,-5)

Answer:

A)  (-2,-5)

Step-by-step explanation:

What is the phase shift and period for the function y = 3cos6(θ − 30°) + 4?

Phase shift = right 30°, period = 60°

Phase shift = right 30°, period = −60°

Phase shift = left 30°, period = 60°

Phase shift = left 40°, period = 30°

Answers

ANSWER

Phase shift = right 30°, period = 60°

EXPLANATION

See attachment.

Point W is located at (-2,3) on a coordinate plane. Point W is reflected over the x-axis to create point w'. Point W' is then reflected over the y-axis to create point W". What ordered pair describes the point location of point W"?

Answers

ANSWER

[tex]W''(2, - 3)[/tex]

EXPLANATION

The given point bas coordinates

W(-2,3).

The mapping for reflection over the x-axis is

[tex](x,y)\to(x, - y)[/tex]

[tex]W(-2,3)\to \: W'(-2, - 3)[/tex]

This point W'(-2,-3) is then reflected over the y-axis.

The mapping for reflection over the y-axis is

[tex](x,y)\to (-x, y)[/tex]

[tex]W'(-2,-3)\to \: W''(2, - 3)[/tex]

Final answer:

Point W is initially transformed by reflecting it over the x-axis, which inverses the sign of the y-coordinate, followed by a reflection over the y-axis, which inverses the sign of the x-coordinate. The final position of point W" on the coordinate plane is therefore (2, -3).

Explanation:

To answer this mathematics question involving coordinate geometry and reflections, one must understand how reflections in the x-axis and y-axis affect the coordinates of a point.

A reflection of a point across the x-axis changes the sign of the y-coordinate, and a reflection across the y-axis changes the sign of the x-coordinate. Thus, if we start with point W at (-2,3), a reflection over the x-axis to create point W' changes the y-coordinate's sign, yielding point W' at (-2,-3). Then, reflecting W' over the y-axis changes the x-coordinate's sign, yielding our final point W" at (2,-3).

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What is the surface area of the rectangular pyramid below

Answers

[tex]S=15\times15+4(7.5\times15)=\boxed{675}[/tex]

Answer:

Option C is correct.

Step-by-step explanation:

Given:

Length of the base rectangle = 15 unit

Width of the  base rectangle = 15 unit

Height of triangle on the side of pyramid = 15 unit

Length of the base of the triangle = 15 unit

Surface are of the rectangular pyramid = Area of Base + 4 × Area of triangle on side.

Area of base = length × width = 15 × 15 = 225 unit²

Area of the triangle = 1/2 × base  × height = 1/2 × 15 × 15 = 112.5 unit²

Surface Area = 225 + 4 × 112.5  = 225 + 450 = 675 unit²

Therefore, Option C is correct.

A die with numbers 1 through 6 is rolled. What is the probability of getting a 4 on the first roll and then getting a 4 or a 6 on the second roll?

Answers

the probability is 1/18

Please help me with this!!
Thank u

Answers

Answer:

Step-by-step explanation:

Left

When a square = a linear, always expand the squared expression.

x^2 - 2x + 1 = 3x - 5                Subtract 3x from both sides

x^2 - 2x - 3x + 1 = -5

x^2 - 5x +1 = - 5                      Add 5 to both sides

x^2 - 5x + 1 + 5 = -5 + 5

x^2 - 5x + 6 = 0

This factors

(x - 2)(x - 3)

So one solution is x = 2 and the other is x = 3

Second from the Left

i = sqrt(-1)

i^2 = - 1

i^4 = (i^2)(i^2)

i^4 = - 1 * -1

i^4 = 1

16(i^4) - 8(i^2) + 4

16(1) - 8(-1) + 4

16 + 8 + 4

28

Second from the Right

This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.

12 = 8a + b

17 = 12a + b         Subtract

-5 = - 4a

a = - 5/-4 = 1.25

12 = 8*1.25 + b

12 = 10 + b

b = 12 - 10

b = 2

Now they want a + b

a + b = 1.25 + 2 = 3.25

Right

One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.

(2x - 2)^2 = 4x^2 - 8x + 4

4x^2 - 8x + 4 - 2x + 2

4x^2 - 10x + 6    The problem is factoring since neither of the first two equations work.

(2x - 2)(2x - 3)     This is correct.

So the answer is D

Find the value of x in the triangle shown below.

x =



In the triangle it has 74, 20, and x degrees

Answers

Answer:

86

Step-by-step explanation:

Angles in a triangle add up to 180 degrees

add 74 with 20 to get 94

subtract 94 from 180 to get the value of x

180-94=86

The value of x in the triangle whose two interior angle values are given as 74 degrees and 20 degrees is 86 degrees.

What is a triangle?

A triangle is a closed 2-dimensional polygon with three angles and three straight sides.

According to the Triangle Angle Sum Theorem, the sum of the three interior angles in a triangle is always 180°.

Hence,

angleA + angleB + angleC = 180°

Given the data in the question;

First angle in the triangle A = 74°Second angle in the triangle B = 20°Third angle in the triangle C = x

We substitute our given values into the expression above.

angleA + angleB + angleC = 180°

74° + 20° + x = 180°

94° + x = 180°

x = 180° - 94°

x = 86°

Hence, the value of x in the triangle whose two interior angle values are given as 74 degrees and 20 degrees is 86 degrees.

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A trough is filled with water. The trough holds 315 gallons. Each cubic foot of water contains about 7.5 gallons. The trough is 7 feet long and 4 feet wide. What is the height of the trough?

Answers

Answer:

The height of the trough is about 1.5 ft

Step-by-step explanation:

If each cubic foot of water contains about 7.5 gallons.

Then; 315 gallons is about [tex]\frac{315}{7.5}=42ft^3[/tex]

Let h be the height of the trough, then

[tex]7\times 4\times h=42[/tex]

This implies that;

[tex]28h=42[/tex]

Divide both sides by 28 to get:

[tex]h=\frac{42}{28}[/tex]

[tex]\therefore h=1.5[/tex]

The height of the trough is about 1.5 ft

the height of the trough is 1.5 feet.

To solve for the height of the trough that holds 315 gallons, we need to use the information that 1 cubic foot of water contains about 7.5 gallons. Since the trough is 7 feet long and 4 feet wide, we can first calculate the volume in cubic feet by dividing the volume in gallons by the gallon-to-cubic-feet conversion factor (315 gallons \/ 7.5 gallons/cubic foot). Then, we use this volume to find the height by dividing the volume by the product of the length and the width of the trough.

Here is a step-by-step approach:

Convert the volume from gallons to cubic feet: Volume (cubic feet) = Volume (gallons) ÷ 7.5 gallons/cubic footCalculate the height of the trough: Height (feet) = Volume (cubic feet) ÷ (Length (feet) x Width (feet))

Now, let's calculate:

Volume (cubic feet) = 315 gallons ÷ 7.5 gallons/cubic foot = 42 cubic feetHeight (feet) = 42 cubic feet ÷ (7 feet x 4 feet) = 42 cubic feet ÷ 28 square feet = 1.5 feet

Therefore, the height of the trough is 1.5 feet.

Yasmin ran 6 2/3 miles on wednesday.On saturday she ran 2 1/4 times as far as she did on wednesday.How far did Yasmin run on saturday

Answers

For this case we have to:

Wednesday:

[tex]6 \frac {2} {3} = \frac {3 * 6 + 2} {3} = \frac {20} {3}[/tex]

Saturday:

He ran [tex]2 \frac {1} {4}[/tex] times more than on Wednesday, that is:

[tex]\frac {20} {3} + \frac {4 * 2 + 1} {4} =\\\frac {20} {3} + \frac {9} {4} =\\\frac {20 * 4 + 9 * 3} {12} =\\\frac {107} {12} =\\8 \frac {11} {12}[/tex]

Thus, on Saturday, he ran [tex]8 \frac {11} {12}[/tex]miles

Answer:

[tex]8 \frac {11} {12}[/tex]

A small dog gets fed 3/4 cups of dog food twice a day. Using d for the number of days and f for the amount of dog food in cups, write an equation relating the variables. Use the equation to find how many days a large bag of dog food will last if it contains 210 cups of food?

Answers

The desired equation relating the variables is;

d = 4f/6

Also, a large bag of dog food that contains 210 cups of food will last 140 days according to the equation.

According to the question;

The small dog gets fed 3/4 cups of dog food twice a day.

In essence; The dog is fed twice a day with 3/4 cups of dog food each time.

Therefore; The dog gets fed 2× (3/4) cups of dog food per day

a) The equation is therefore;

d = f/(6/4)

d = 4f/6.

b) To determine the number of days a large bag of dog food will last if it contains 210 cups of food;

d = 4f/6

d = (4 × 210)/6

d = 140 days

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16. What are the values of a and b?

Answers

Answer:

  a = 20; b = 2√101

Step-by-step explanation:

The triangle at upper left and the one at lower right are similar. Ratios of corresponding sides are equal, so ...

  200/a = a/2

  400 = a^2

  √400 = 20 = a

Then, by the Pythagorean theorem, the value of b can be found:

  b = √(a^2 + 2^2) = √(400 +4) = √4·√101

  b = 2√101

Use the partial information given in this electronic W-2 form to calculate the amount in Box 3.

Answers

Final answer:

The Box 3 on an electronic W-2 form represents the total wages subject to Social Security tax. To calculate it, look for the 'Social Security wages' value on the form and determine if it exceeds the annual limit set by the Social Security tax.

Explanation:

The Box 3 on an electronic W-2 form represents the total wages that are subject to the Social Security tax. To calculate the amount in Box 3, you can look for the value labeled 'Social Security wages' or 'SS wages' on the form. This value includes all taxable wages and tips that are subject to Social Security taxes, up to a certain limit.

For the year 2020, the Social Security tax is only applied to the first $137,700 of wages. If the 'Social Security wages' value provided on the form is higher than this limit, you should use the limit as the amount in Box 3. If the value is lower than the limit, then the 'Social Security wages' value itself should be used as the amount in Box 3.

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