A garden table and a bench cost $767 combined. The garden table costs $53 less than the bench. What is the cost of the bench?

Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

3

7

last one doesn't even make sense

Answer:

h=[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]6h-1=-3\\6h=-2\\h=-\frac{2}{6} \\h=-\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

Isolate by the h from one side of the equation.

6h-1=-3

First, add by 1 from both sides.

[tex]\sf{6h-1+1=-3+1}[/tex]

Solve.

-3+1=-2

Rewrite the problem down.

6h=-2

Then, you divide by 6 from both sides.

[tex]\sf{\dfrac{6h}{6}=\dfrac{-2}{6} }[/tex]

Solve.

-2/2=-1

6/2=3

Rewrite as a fraction.

[tex]\boxed{\sf{h=-\dfrac{1}{3}=0.33}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

46°

Step-by-step explanation:

Since the side mn is tangent, the angle in M is a right angle. The sum of internal angles needs to add to 180°, so subtacting you're left with 46°

Hi there!

Since MN is tangent to Circle K, we know that MK and MN are PERPENDICULAR.

Therefore, m∠M = 90°.

Since we now know two angles in the right triangle, we can solve for m∠K knowing that angles in a triangle sum up to 180°.

180° = ∠M + ∠N + ∠K

180° = 90° + 44° + ∠K

Combine like terms:
180° = 134° + ∠K

Subtract:
180° - 134° = ∠K

∠K = 46°

Answer:

302.8

Step-by-step explanation:

If you ever have a calculator by your side remember that a percentage is just a decimal moved two digits to the left. So in this case, the equation is just 757•0.4. Sorry, however, I do not know what you're asking at the top part.

Answer:

For question 2: 15/4.

For question 3: 10/8.

Step-by-step explanation: To multiply fractions, you multiply the numerators and then the denominators.  We should first transform any whole numbers into fractions.  The first step is done below:

For question 2: 5 to 5/1.

For question 3: 2 to 2/1.

Now, we can multiply the numerators and denominators to answer the following:

For question 2: 5/1 x 3/4.  The numerators are 5 and 3, so multiply those to get 15.  The denominators are 1 and 4, so multiply those to get 4.  Your answer is 15/4.

For question 3: 2/1 x 5/8.  The numerators are 2 and 5, so multiply those to get 10.  The denominators are 1 and 8, so multiply those to get 8.  Your answer is 10/8.

Let me know if this is right! :)

Answer:

To find each length in the new scale drawing, you can multiply each length in the original scale drawing by this scale factor between the two scale drawings. ▫.

fdddkgStep-by-step explanation:

According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.

Second, the rule is different for each row.

2x5=10

4x4=16

6x3.6=22

A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.

Find common ratio

Yes they are proportional

Answer:

C)   [tex]y=-0.5x+8[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8.  So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is [tex]y=-0.5x+8[/tex]

Answer:

Step-by-step explanation:

[tex]f(x) = 2^{x}[/tex]

translate 3 units up will change the y coordinate so will add 3 to y or f(x)

[tex]f(x) = 2^{x} +3[/tex]

translate 4 units to the left will change the x coordinates so will add 4 to the x to move towards left

[tex]f(x) = 2^{x+4} +3[/tex]

Answer:

(1, -2)

Step-by-step explanation:

Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)

Answer:

240

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

I D K this is a puzzle

Answer: C) His creative imagination

Step-by-step explanation:

J.R.R. Tolkien's creative imagination most helped him to become a successful writer

Answer:

The answers are C, D, and F

Step-by-step explanation:

Answer:

C = 55h + 95

Step-by-step explanation:

That is the equation, I can't see a table but I'm assuming you would be given hours worked, so plug that in for the h value and solve to get a cost in $.

For example, if he worked for 2 hours then

C = 55(2) + 95

C = 110 + 95

C = $205

If you found my answer helpful, please rate branliest. It's free to do so and would help me out a ton!

Answer:

32.97 inches

Step-by-step explanation:

Given

Solving

Answer:

$120

Step-by-step explanation:

Total Parts = 3+2+5 = 10

400 / 10 = $40 per part

Amy = 40 x 3 = 120

Answer:

45 ft^2.

Step-by-step explanation:

Area = area of the square + 2 * area of one triangle

= 5^2 + 2 * 1/2 * 5 * 4

= 25 + 20

= 45 fT^2.

Answer:

4y-3

Step-by-step explanation:

Step-by-step explanation:

the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).

we know the dimensions of the small rectangle : 10×6

and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10

(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).

the area of the large rectangle is

14 m × 10 m = 140 m²

the area of the small rectangle is

10 m × 6 m = 60 m²

so the area of the path is

140 - 60 = 80 m²

Answer:

7

Step-by-step explanation:

1. Solve for x in [tex]x^2 = 3x - 1[/tex].

[tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex]

2. Substitute [tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex] into [tex]x^2 + \frac{1}{x^2} = y[/tex].

[tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

3. Solve for y in [tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

[tex]y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]

4. Therefore,

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

............

[tex]x= \frac{3-\sqrt{5}}{2}[/tex]≈[tex]0.381966011, y=7[/tex]

[tex]x= \frac{\sqrt{5}+3}{2}[/tex]≈[tex]2.618033989, y=7[/tex]

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Please rate and click the Thanks button if it helped you out. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

The best way to predict the future is to create it.

- Abraham Lincoln, Past U.S. President

Answer:

7

Step-by-step explanation:

Given equation:  [tex]x^2=3x-1[/tex]

Rearrange so that it is equal to zero:

[tex]\implies x^2-3x+1=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Using the quadratic formula to solve the given equation:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(1)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{5}}{2}[/tex]

[tex]\implies x^2=\dfrac{7 \pm 3\sqrt{5}}{2}[/tex]

Substituting this into [tex]x^2+\dfrac{1}{x^2}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{1}{\dfrac{7\pm3\sqrt{5}}{2}}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{2}{7\pm3\sqrt{5}}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}+\dfrac{4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{49\pm42\sqrt{5}+45+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{98\pm42\sqrt{5}}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14}{2}[/tex]

[tex]\implies 7[/tex]

The total harvested area is 232 acres .

To determine the number of acres harvested, we simply have to divide the bushels of soybean by the crop yield.

Mathematically we can write it as,

The total land area = bushels of soybean / bushels per acre

Substituting the known values,

[tex]Total land area = 9396 / 40.5 = 232[/tex]

Therefore, 232 acres were harvested.

To learn more about the area visit:

https://brainly.com/question/25292087

Answer:The total harvested area is 232 acres

Step-by-step explanation:

Using the z-distribution, it is found that the z-value is of z = -2.29.

For a confidence level of [tex]\alpha[/tex], it is Z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex].

We have a 97.8% confidence level, hence[tex]\alpha = 0.978[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.978}{2} = 0.989[/tex], so the critical value is z = -2.29.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

8.49 and No

Step-by-step explanation:

C² - b² = a² (pythagorus rule rearranged for a²)

9² - 3² = a²

81 - 9 = a²

a² = 72

a = 8.49 and no they aren't a triple.

By using the definition of even and odd functions, we will see that:

A function f(x) is even if:

f(x) = f(-x)

And the function is odd if:

f(-x) = -f(x).

Now let's check it for all the given functions.

a) f(x) = x^3 - 7/x

So this function is odd.

b)  f(x) = |-x|

This function is even.

c) f(x)=25-x^3

This function is neither odd nor even.

d) f(x) = 72-x^4

This function is even.

If you want to learn more about odd and even functions, you can read:

https://brainly.com/question/2284364