A garden table and a bench cost $978 combined. The garden table costs $78 more than the bench. What is the cost of the bench?

Step-by-step explanation:

1. 5 1/4 = 21/4

21/4 ÷ 3/4 = 7/4

2. 7 1/2= 15/2

15/2 ÷ 1/4 = 1.875

3. 3 2/5 = 17/5

17/5 ÷ 2/7 = 0.24

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

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Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

16 units

Step-by-step explanation:

Rectangle perimeter = width + width + height + height = 2 (width) + 2 (height)

To find the length of one of the sides of the rectangle, I am going to find the distance between points A and B.

The y-xoordinates are the same for A and B, so this is a horizontal line. This means we are measuring the width of the rectangle.

To find the distance, we take 3 - -2 = 5 units

So the width of the rectangle is 5 units.

We can do the same thing to find the height of the rectangle using B and C.

They have the same x-coordinates, so the distance between them will be the difference in the y-coordinates.

4 - 1 = 3, so the height of the rectangle is 3.

Finally, to find the perimeter, we do 2(5) + 2(3) = 16 units

The perimeter of the rectangle is 16 units.

I hope this helps!

Answer:

It is 110000 your welcome

Step-by-step explanation:

No explanation need luv

Answer:

A

Step-by-step explanation:

I took the test now that is what I got.

Hope this helps.

The function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

Given is that the amount of a certain radioactive substance decreases by 15% every hour. A sample starts with 100 g of this radioactive substance.

The function that represents the amount of radioactive substance left after {x} hours is -

f(x)=100(0.15)ˣ

Therefore, the function that represents the amount of radioactive substance left after {x} hours is : f(x)=100(0.15)ˣ.

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Answer:

FD is Congruent to DC

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

80/100 of 10

0.8 × 10 = 8

8 is 80% of 10

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

To find a number such that, it's 80% is 8.

Let the number be x

80%x =8

This forms an equation in one variable which can be solved by transposition.

[tex]80x/100=8[/tex]

On multiplying 100 both sides,

[tex]80x=800[/tex]

On dividing 80 both sides,

x=10

Thus,  80% of 10 is 8.

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Answer:

− 4x + 12

ENJOY...

Step-by-step explanation:

Answer:

12 - 4x

Step-by-step explanation:

Distribute the 4 to both terms within the parentheses:

4(3 - x)

4*3 - 4*x

12 - 4x

This is called the expanded form, while 4(3 - x) is called the factored form of this expression.

Hope this helps!! :)

Answer:

0.75

Step-by-step explanation:

4 + 5=9

√(9)=3

3 ÷ 4 =  0.75

Answer:

b = 24c

Step-by-step explanation:

Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

the Center is: (-1,2)

and the radius is: [tex]\sqrt{36}[/tex] = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

[tex](x+1)^{2} +(2-2)^{2} =36[/tex]

[tex](x+1)^{2} +(0)^{2} =36[/tex]

[tex](x+1)^{2} =36[/tex]

[tex]x+1 =±\sqrt{36}[/tex]

[tex]x=6-1[/tex]    AND    [tex]x=-6-1[/tex]

[tex]x=5[/tex]          AND    [tex]x=-7[/tex]

second sub x= -1 in the equation to find the values for y:

[tex](x+1)^{2} +(y-2)^{2} =36[/tex]

[tex](-1+1)^{2} +(y-2)^{2} =36[/tex]

[tex](0)^{2} +(y-2)^{2} =36[/tex]

[tex](y-2)^{2} =36[/tex]

[tex]y-2=±\sqrt{36}[/tex]

[tex]y=6+2[/tex]    AND    [tex]y=-6+2[/tex]

[tex]y=8[/tex]          AND    [tex]y=-4[/tex]

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

Answer:

3/6 cups have a great day!!

Answer:

31/90 is the prob.

Step-by-step explanation:

sorry if this is incorrect :9

ty for reading :9

Answer:

-72 is the correct answer

Answer:

C. 7.9 + x

Step-by-step explanation:

Given - A. 7.9x  B. 7.9 · (-10)  C. 7.9 + x  D. - 79

To find - Which expression doesn't belong? Why does it not belong?

Proof -

As given

A.  7.9x

B. 7.9·(-10)

C. 7.9 + x

D. -79

As we can see that Option A, B, D are the multiple of 7.9 but Option C is not the multiple of 7.9

So, Option C does not belong here.

∴ we get

The correct answer is - C. 7.9 + x

Answer:

The answer is (5,3) because x=5 and y=3

Answer:

the answer is (5,3).

Step-by-step explanation:

5 by 3 is 15, so there are 15 squares or units.

Answer:

15.6

0.13 times 120=15.6

Answer:

15.60

Step-by-step explanation:

You multiply 13% and 120.00 to get the answer I hoped that I helped you have a nice day or nigh!

Answer:

sorry

Step-by-step explanation:

Step-by-step explanation:

Radius (r) = 2 ft

V = 4/3 × 22/7 × (2)³

= 4/3 × 22/7 × 8

= 33.52 ft³

Hey there!

The answer is [tex]9[/tex]

We will start by forming an equation to solve this.

So we are starting with a number, [tex]x[/tex], then doubling it and adding [tex]7[/tex], which gives us 25.

So:

[tex]2x+7=25[/tex]

Now we solve this equation:

[tex]2x+7=25[/tex]

[tex]2x=18[/tex]

[tex]x=9[/tex]

Have a super awesome day!

Answer:

X = 9

Step-by-step explanation:

If you take 9, then double it, you get 18. 9+9 = 18. Then, you would add 7. 18 plus 7 is 25.

Hence, the answer to this problem is 9.

Answer:  D: 360°

An octagon is supposed to have a total of 360°, each side being equivalent to 45°. In conclusion, the exterior angle of this octagon is equivalent to 360°

Answer:

13/12

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

remember it's adj/hyp so it would be 36/39. When simplified it becomes 12/13.

Answer:

TWU is congruent to WUV

Step-by-step explanation:

Answer:

2,960.00

Step-by-step explanation:

5000x7.4x8=2,960.00

hope this helps