A garden table and a bench cost $935 combined. The garden table costs $85 more than the bench. What is the cost of the bench?

Answers

Answer 1

Answer:

The bench costs $425

And the Table costs $510

Step-by-step explanation:

table + bench = $ 935

$85 + 2b = $935

$935 - $ 85 = $ 850

$850/ 2 = 425 = b


Related Questions

Can you tell which 3-d shape this would make? a. cylinder b. cylindrical prism c. cone d. doesn't fold to make a 3-d shape

Answers

The three-dimensional shape would make by the two-dimensional figure is cone option (c) cone is correct.

What is a cone?

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

\(\rm V=\pi r^2\dfrac{h}{3}\)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

A two-dimensional figure is shown in the picture.

As we know, in the cone the base is a circular shape.

The side view of the cone is a triangle with half curve circular base.

Thus, the three-dimensional shape would make by the two-dimensional figure is cone option (c) cone is correct.

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Can you tell which 3-d shape this would make? a. cylinder b. cylindrical prism c. cone d. doesn't fold

What is the scale factor from ABC to DEF?
(20 points)

What is the scale factor from ABC to DEF?(20 points)

Answers

Answer:

C.1/6

Step-by-step explanation:

yan po ung tamang sagut thank you

Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2

Answers

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)P(x) = x^3 − x^2 − x − 5number of positive zeros possible number of negative zeros possible number of real zeros possible

Answers

The number of positive and negative real roots of the function

x³ - x² - x - 5 are 1 and 2 respectively.

What is Descartes' Rule?

Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeros in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.

Number of positive real roots of f(x) ≤ Number of sign changes f(x)

Number of negative roots of f(x) ≤ Number of sign changes of f(-x)

According to the given questions:

The given polynomial function f(x) = x³ - x² - x - 5

We can observe the number of sign changes in the coefficients

The sign changes only once

hence there is one positive real root

Now, f(-x) = -x³ + x² - x + 5

Clearly sign changes 2 times evenly

Therefore the function has 2 negative real roots

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write an equation for the following word problem: "three times the sum of a number and ten is 24"

Answers

Answer:

3(x+10)=24

Step-by-step explanation:

HELP NEEDED ASAP 40 PONITS

HELP NEEDED ASAP 40 PONITS

Answers

AOB seems to be the same as DOE, which means DOE is equal to 40 degrees as well. And if DOF is 120, and DOE is inside of it, you would subtract 40 from 120, which is 80. And since that area is also the same as BOC, it would mean that BOC is equal to 80 as well.

So since we have those current angles, we have to add them up (40+40+80+80) which is equal to 240 degrees. Since there is 360 degrees in a circle, you would then subtract 240 from 360 to find the last answers, which equals 120. However since there are two angles left, it means we would split that 120, which equals 60. Now we add all the answers together (40+40+80+80+60+60=360)

So finally, the answers are


Also sorry if the way I explained it seems confusing, hope this helps though

Answer:

AOB seems to be the same as DOE, which means DOE is equal to 40 degrees as well. And if DOF is 120, and DOE is inside of it, you would subtract 40 from 120, which is 80. And since that area is also the same as BOC, it would mean that BOC is equal to 80 as well.

So since we have those current angles, we have to add them up (40+40+80+80) which is equal to 240 degrees. Since there is 360 degrees in a circle, you would then subtract 240 from 360 to find the last answers, which equals 120. However since there are two angles left, it means we would split that 120, which equals 60. Now we add all the answers together (40+40+80+80+60+60=360)

So finally, the answers are

Also sorry if the way I explained it seems confusing, hope this helps though

Step-by-step explanation: i did this so the other person can get brainlist

_ is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.

Answers

Probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.

What is Probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

What is the probability of each value of a discrete random variable?

The probability P(x) that a discrete random variable X will take the value x in one trial of the experiment is connected to each possible value x of the variable.

Which is a discrete random variable?

A discrete variable is one that is random. if the number of possible values is either countable or finite. Continuous refers to a variable that is random. if the range of possible values includes all possible numbers.

What is the other name of mean of discrete random variable?

A discrete random variable's probability distribution is a table of the probabilities connected to each of its potential values. The probability function or probability mass function are other names for it.

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Based on the formula that you developed in question 3, what is the area of the circle? How do you know your answer is correct? Explain.

Answers

Answer:

Area is πr²

Step-by-step explanation:

The area of a circle is given as

A = πr²

Where r, which is half of the circumference of the circle, is the radius of the circle.

Where π = 3.14...

Answer:

πr2.

Step-by-step explanation:

The shape changed, but the amount of space inside the shape remained the same. The space inside the parallelogram is the same as the space, or area, inside the circle. The area of the circle is 0.5 × circumference × radius = πr2.

X=[2 4 5 6 8 9); Y=[5 9 10 13 17 20); Write a command in Matlab to plot the data above with black asterisk

Answers

To plot the data above with black asterisk using Matlab, the command is:

plot(X,Y,'k*')

Explanation: To plot data above in Matlab, we will use the 'plot' function.

The 'plot' function is used to create 2D line plot with the first input parameter specifying the x-coordinates, the second input parameter specifying the y-coordinates and so on.

The parameters X and Y in this question are vectors containing the x and y coordinates of the data points respectively. The 'k*' argument specifies that the plot should use a black asterisk marker.

The general syntax for plotting a set of data points in Matlab is as follows:

plot(X, Y, MarkerSpec)

Where MarkerSpec represents the type of marker used to denote each point in the plot.

The 'k*' argument represents a black asterisk.

Therefore, the command to plot the data above with black asterisk using Matlab is:

plot(X,Y,'k*')

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Write an equation to find the amount of simple interest, A, earned on a $970 investment after 2 years the semi-annual (6-month) interest rate is 2%. Show the third read below & solve.

1R: what is the problem about?
2R: what is the question asking you to find?
3'R: show work

help​

Answers

The amount of simple interest earned on a $970 investment after 2 years at a semi-annual interest rate of 2% is $19.40.

How is simple interest determined?

We may use the simple interest formula, which is: to determine how much simple interest was gained on a $970 investment after two years at a 2% semi-annual interest rate.

I = P * r * t

where I equals interest accrued

Principal (P) (the initial investment)

r = annual interest rate (in decimal form)

T is the duration in years.

As the interest rate is stated as a semi-annual rate, we must double the time period by two and divide the interest rate by two to convert them to years.

When we enter the specified values into the formula, we obtain:

I = $970 * 0.02/2 * 2 = $19.40

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What is the slope of the line shown?

What is the slope of the line shown?

Answers

Answer:

M=(-3)

Step-by-step explanation:

Take two points on the line

(5,1) and (2,2)

the equation to find M is y2-y1/x2-x1

2-5=(-3)  2-1=1

(-3)/1=(-3)

Hope this helps =3


The Tukey's "honestly significant difference" test is:
a. A between subject t-test
b. A complex ANOVA
c. None of the given answers is correct
d. A post-hoc test

Answers

The Tukey's "honestly significant difference" test is a post-hoc test.What is a post-hoc test?In statistics, a post-hoc test is a statistical test conducted after another test that has yielded statistical significance has been conducted.

The post-hoc test may be utilized to discover which group or groups within a larger population are responsible for the statistical significance of the findings.

The Tukey's "honestly significant difference" test is a post-hoc test which compares all possible pairs of means in a sample and determines if there is a statistically significant difference between them. It is frequently used in conjunction with one-way ANOVA and is useful in identifying where significant differences exist between groups when the ANOVA determines that a statistically significant difference exists. The "150" you mentioned is not relevant to the question and has not been used anywhere in the context.

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In HIJ, the measure of J=90°, IJ = 5.6 feet, and JH = 4.7 feet. Find the measure of
I to the nearest degree.

Answers

Answer: 40°

Step-by-step explanation: gave up on delta math

Answer:

40 degrees

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 17.4 m and a base with a diameter of 3.1 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

43.8

Step-by-step explanation:

Deltamath

The graph represents the system of inequalities shown below. Determine whether the statement that follows the
graph is true or false.
y greater than or equal to 6
5x+3y ≤ 15
f(x,y) - 12x+3y

Answers

Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.

What are the rules for writing an inequality?

In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:

The line on a graph is a solid line when the inequality symbol is (≥ or ≤).The inequality symbol is greater than or equal to (≥) when a solid line is shaded above.The inequality symbol is less than or equal to (≤) when a solid line is shaded below.

In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:

Assuming the ordered pair (1, 2), we have:

y ≥ 6

2 ≥ 6 (False).

5x+3y ≤ 15

5(1) +3(2) ≤ 15

5 + 6 ≤ 15

11 ≤ 15 (True).

Therefore, it is not a feasible solution.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The graph represents the system of inequalities shown below. Determine whether the statement that follows

Convert 3.5 tons into pounds. (1 ton= 2000 pounds)
3.5t=lb

Answers

Answer: 7,000 pounds

Step-by-step explanation: If 1 ton is 2000, multiply that by 3, which would give you 6,000 pounds, half a ton would end up being 1000 pounds.

6,000 + 1,000 = 7,000

Pls help I keep getting it wrong.

Perform the indicated operation.2x(2) (x(3) y - 4x(4) y(2) - 7)

Answers

Answer:

23x + 3y - 7

Step-by-step explanation:

2x(2) = 4x

x(3) = 3x

y - 4x(4) = y - 4x * 4 = y - 16x

y(2) - 7 = 2y - 7

4x + 3x + y - 16x + 2y - 7

7x + y - 16x + 2y - 7

23x + 2y + y - 7

23x + 3y - 7

Identify the diameter if given the radius and the radius if given the diameter of given circles: 7 cm 25 cm 28 cm 35 cm 100 cm 140 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm

Answers

Answer:

Radius. 7, 25, 14, 35, 50, 70

Diameter 14, 50, 28, 70, 100, 140

the density of an object is the qoutient of its mass and its volume

Answers

The answer is true.

\(density \: = \frac{mass}{volume} \)

A survey asked 12 students how many portable electronic devices they have in
their homes. The results are shown in the line plot below.
Based on the data in the line plot, calculate the following.
SHOW YOUR WORK! Each question is worth 2 points.
a) Mean (Round your answer to the nearest tenth.)
b) Median
c) Mode
d) Range
e) What percentage of the students have more than 3 portable electronic
devices in their home? Give your answer as a fraction, decimal, and percent.

A survey asked 12 students how many portable electronic devices they have intheir homes. The results

Answers

Answer:

should be either b or c

Step-by-step explanation:

Answer:

Mean: 4.6666666

Mode: 5.5

Range: 6

75%

Step-by-step explanation:

Pls I need help like actually

Pls I need help like actually

Answers

Answer: M (6,7)

Step-by-step explanation:

YES

Suppose we obtain a sample proportion using a sample of size 100. If we want to obtain another sample proportion from the same population, but with standard deviation one-half of what it was for a sample of size 100, what should the sample size be

Answers

The standard deviation of a sample proportion is given by the formula:

σ = sqrt((p * (1 - p)) / n)

where σ is the standard deviation, p is the sample proportion, and n is the sample size.

If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:

(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)

To simplify the equation, we can square both sides:

((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100

Simplifying further:

100 * n^2 = 4 * 1

n^2 = (4 * 1) / 100

n^2 = 0.04

Taking the square root of both sides:

n = sqrt(0.04)

n = 0.2

Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.

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how many pounds of sunflower seed does the mixture contain?

how many pounds of sunflower seed does the mixture contain?

Answers

Explanation

In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.

We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;

\(x+y=5----(1)\)

Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;

\(2.50x+1.75y=11.60----(2)\)

We will then solve the above equation simultaneously.

\(\begin{gathered} \text{Isolate x for x+y =5} \\ x=5-y-----(3) \end{gathered}\)

Insert equation 3 in equation 2

\(\begin{gathered} 2.50(5-y)+1.75y=11.60 \\ 12.5-0.75y=11.6 \\ 0.75y=12.5-11.6 \\ 0.75y=0.9 \\ y=\frac{0.9}{0.75} \\ y=1.2 \end{gathered}\)

Since the weight of the sunflower seed is represented by y, therefore the answer is;

Answer: 1.2 pounds

Which system of linear inequalities is graphed below?

Which system of linear inequalities is graphed below?

Answers

The system of inequalities that are graphed are:

y < (1/2)x + 4

y > 2x - 1

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Two coordinates from the graph of the green line.

(0, 4) and (2, 5)

The equation of the line.

y = mx + c

m = (5 - 4) / (2 - 0) = 1/2

m= 1/2

(0, 4) = (x, y)

4 = (1/2) x 0 + c

c = 4

y = (1/2)x + 4

Two coordinates from the graph of the Blue line.

(1, 1) and (2, 3).

The equation of the line.

y = mx + c

m = (3 - 1)/(2 - 1) = 2/1 = 2

m = 2

(1, 1) = (x, y)

1 = 2 + c

c = 1 - 2

c = -1

y = 2x - 1

Now,

The system of  linear inequalities that are graphed on the given graph are:

y < (1/2)x + 4

y > 2x - 1

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a cell phone manufacturer inspects the video display on each color phone to verify that the screen can display all colors with the brilliance their customers have come to expect. each phone is turned on, run through a self-test procedure, and classified as either acceptable or unacceptable based on test performance. based on historical data, the manufacturer produces 0.2 percent defective displays. if they inspect 4000 phones each day for the next 10 days, what are the upper and lower control limits for their control chart if their sample mean mirrors their historical process average?

Answers

The upper control limit for the control chart is 12.7433 and the lower control limit is 3.2567.

Assuming that the manufacturer's inspection process is a binomial process, we can use the normal approximation to the binomial distribution to calculate the control limits for their control chart. The mean of the binomial distribution is given by:

μ = np

where n is the sample size (4000 phones per day), and p is the probability of a defective display (0.002). The standard deviation of the binomial distribution is given by:

σ = sqrt(np(1-p))

Using these formulas, we can calculate the mean and standard deviation of the binomial distribution:

μ = 4000 x 0.002 = 8

σ = sqrt(4000 x 0.002 x 0.998) = 1.5811

The upper and lower control limits for the control chart can be calculated using the following formulas:

UCL = μ + 3σ

LCL = μ - 3σ

Substituting the values of μ and σ, we get:

UCL = 8 + 3 x 1.5811 = 12.7433

LCL = 8 - 3 x 1.5811 = 3.2567

Therefore, the upper control limit for the control chart is 12.7433 and the lower control limit is 3.2567. Any sample mean outside this range would be considered statistically significant and would require investigation to identify the cause of the deviation from the historical process average.

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How many solutions does this equation have? -8x= -8x .

Answers

Answer:

Infinite

Step-by-step explanation:

No matter what number you plug into x, since it is multiplied by the same coefficient on both sides, the two sides will still be equal. Therefore, there are infinite solutions. Hope this helps!

Answer:

This equation has infinite solutions.

Step-by-step explanation:

The equation parts are literally the same.

-8x=-8x

If x=2

-16=-16

If x=1,000

-8,000=-8,000

and so on...

find the surface area of a square pyramid with side length 2 km and slant height 4 km

Answers

The diagram can be drawn as,

The surface area of the base is

\(\begin{gathered} BA=(2km)^2 \\ ^{}=4\text{ sq. km} \end{gathered}\)

The lateral surface area can be determined as,

\(\begin{gathered} \text{LSA}=\frac{1}{2}\times Perimeter\text{ of base}\times slant\text{ height} \\ =\frac{1}{2}\times(4\times2\text{ km)}\times4\text{ km} \\ =16\text{ sq km.} \end{gathered}\)

The total surface area can be determined as,

\(\begin{gathered} \text{TSA}=BA+\text{LSA} \\ =4\text{ sq km+16 sq km} \\ =20\text{ sq km.} \end{gathered}\)

Thus, the total surface area is 20 sq km.

find the surface area of a square pyramid with side length 2 km and slant height 4 km

1Which expressions are equivalent to 36 ? Check all that apply.□ 3-6| B-2외6.6-2□ 6-3 67

1Which expressions are equivalent to 36 ? Check all that apply. 3-6| B-26.6-2 6-3 67

Answers

Given that the fraction is 1/36

And we need to find the equivalent ones.

Explanation-

So first we will solve all the options and then we will get the required answer.

If we shift power from the numerator to the denominator then the sign of the number n the power gets changed and vice-versa.

Then,

\(3^{-6}=\frac{1}{3^6}=\frac{1}{729}\ne\frac{1}{36}\)\(6^{-2}=\frac{1}{6^2}=\frac{1}{36}\)\(\frac{6^3}{6^5}=\frac{1}{6^5\times6^{-3}}=\frac{1}{6^{5-3}}=\frac{1}{6^2}=\frac{1}{36}\)\(\frac{6^2}{6^{-1}}=6^2\times6=6^3=216\ne\frac{1}{36}\)\(6\times6^{-2}=\frac{6}{6^2}=\frac{1}{6}\ne\frac{1}{36}\)\(6^{-9}\times6^7=\frac{6^7}{6^9}=\frac{1}{6^9\times6^{-7}}=\frac{1}{6^{9-7}}=\frac{1}{6^2}=\frac{1}{36}\)

Hence,

The final answer is option 2, 3, and6

On a recent utility bill, the water/sewer/garbage portion of the bill was $94.41. This consisted of 72% of the total bill. To the nearest cent, what was the total amount of the utility bill?

Answers

Answer: We can start by using the information given to find the total bill amount.

If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:

72/100 = 94.41/x

where x is the total bill amount.

We can cross-multiply and solve for x:

72x = 100 * 94.41

x = (100 * 94.41) / 72

x = 123.84

To the nearest cent, the total amount of the utility bill was $123.84.

Step-by-step explanation:

What is the closest perfect square that is
bigger than 62?

Answers

Answer:

64

Step-by-step explanation:

The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 …

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