A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 8 tables is $58. The total cost to rent 5 chairs and 2 tables is $23. What is the cost to rent each chair and each table?

Answer:

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Answer:

4cm and 6cm

Step-by-step explanation:

Area= [tex]\frac{1}{2}[/tex]×base×height

Area=[tex]\frac{1}{2}[/tex]×4×6

Area= 12cm²

Answer:

Y would be 9

Step-by-step explanation:

i saw the picture

x:y

1:3

2:6

3:9

You times the x by 3 and keep going down

Hope this helped

Answer:

x=19

Step-by-step explanation:

Because the angle Y and X are on parallel lines then if you add Y to X you would get 180 so we know that part of Y is 90.

90+2x+3x-5=180

85+5x=180

5x=95

x=19

Answer:

y=3x+1

Step-by-step explanation:

It would be y=3x+1 because if you replace x with 2 and do y=3(2)+1 you would get y=6+1 or just y=7 and in the table for 2 years it says 7 paintings.

Answer:

Ax + By = C

A, B and C can be any number--including negative numbers, zero and one! So examples of standard form can look like this:

3_x_ + 7_y_ = 10, where A = 3, B = 7 and C = 10.

Or they can look like this:

x + 5_y_ = 6. In this case, A = 1, B = 5 and C = 6.

Or this:

8_y_ = 9. In this case, A = 0, which is why x does not appear in the equation. B = 8 and C = 9, as you would expect.

And here's one more:

3_x_ − 5_y_ = 12. Here, A = 3, B = −5 and C = 12. Notice that in this case, B is negative five!

The standard form of a linear equation is Ax + By = C, where A, B and C can be any number.

Answer:

x = -1 + 2 sqr2

or

x = -1 -2 sqr2

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

the candy = 25

the watermelon = 1

the fish = 4

the peanut = 17

25-17=8

Answer:

The diagonal of the rectangle is approximately 42.5 inches.

Step-by-step explanation:

The area of a rectangle is given by the following formula:

area = width*length

In this case the width = 2*length, therefore we have:

area = 2*length²

722 = 2*length²

2*length² = 722

length² = 361

length = sqrt(361) = 19 inches

width = 2*length = 2*19 = 38 inches

The diagonal forms a right triangle with the sides of the rectangle, where it is the hypotenuse. Therefore we can use Pytagora's theorem:

diagonal = sqrt(length² + width²)

diagonal = sqrt(19² + 38²) = 42.485 inches

The diagonal of the rectangle is approximately 42.5 inches.

Answer:

42.5 inches

Step-by-step explanation:

l = length

w = 2l

A = 722

A = l*w

722 = l * 2l

722 = 2l^2

Divide each side by 2

361 = l^2

Take the square root of each side

sqrt(361) = l

w = 2 * sqrt(361)

We want to find the diagonal so we can use the pythagorean theorem

a^2+ b^2 = c^2 where c is the length of the diagonal

l^2 + w^2 = c^2

(sqrt(361)) ^2 + (2 sqrt(361))^2 = c^2

361+1444 = c^2

1805 = c^2

Take the square root of each side

sqrt(1805) = sqrt(c^2)

42.48529 = c

To the nearest tenth

42.5 =c

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area of triangle = (b x h) / 2

area of triangle = (14 x 24) / 2

A.I.T = 168 cm^2

As there are 2 triangles, double this value

Area of triangles = 168 x 2 = 336 cm^2

Area of rectangle = 25 x 10 = 250

As there are 2 of the same rectangle, double this value

250 x 2 = 500

Area of rectangle = 10 x 14 = 140 cm^2

Add all the values together to get the total surface area

140 + 500 + 336 = 976

The answer is 976 cm^2

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Answer:

92 meters high.

Step-by-step explanation:

This problem involves proportion.

Let x be the unknown, which is the height of the building.

height of pole                     =          height of the building

height of the shadow                       height of the shadow

3.3 m       =    x          

1.78 m           49. 75 m

Solve for x.

(3.3 m) (49.75 m)    = x

      1.78 m

92.2331460674 = x

Rounded to the nearest meter, the building is 92 meters high.

Hope that helps.

Answer:

D

Step-by-step explanation:

1*2=2

2*2=4

4*2=8

8*2=16

16*2=32

The sequence 1, 2, 4, 8, 16, 32 is geometric sequences, Option D is correct.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the preceding term by a fixed constant called the common ratio.

Let us check all the options for geometric sequence

2, -2, 2, -2, 2-2, 2

This is not a geometric sequence because the terms are not multiplied by a common ratio to get the next term.

1.4. 9, 16, 25, 36, 49

This is not a geometric sequence because there is no common ratio between the terms.

10.5, 2.5, 1.25, 0:625, 0.3125

This is not a geometric sequence because there is no common ratio between the terms.

1, 2, 4, 8, 16, 32

This is a geometric sequence because each term is obtained by multiplying the previous term by the common ratio of 2.

Therefore, the sequence 1, 2, 4, 8, 16, 32 is geometric sequences, Option D is correct.

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Answer:

The interest earned in a year was $1080.

Step-by-step explanation:

Since the money was invested at a simple interest rate, then the amount earned in one year is given by the following formula:

M = C*r*t

Where M is the amount earned, C is the amount invested, r is the rate of interest and t is the time elapsed. Applying the data from the problem, we have?

M = 20000*(5.4/100)*1

M = 20000*0.054

M = 1080

The interest earned in a year was $1080.

Answer:

1,080

Step-by-step explanation:

Answer:

I'm guessing the answer is B againn XD

must be a lucky day for B!!

Answer:

-0.4

Step-by-step explanation:

m = 10 / -25 = -0.4

Answer:

$36

Step-by-step explanation:

50%=$45 because you half it

10%= $9 because you divide it by 5 (using the 50% to find 10%)

60%= $45+$9=$54

60% discount= $54

$90-$54=$36

Answer: I think your answer is $36

Step-by-step explanation:

Answer:

x+y-5=0

Step-by-step explanation:

From the graph, we can see that the line goes through points (0, 5) and (5, 0).

To find the slope of a line, we can use the formula (y1-y2)/(x1-x2). When we substitute the coordinates that we just found, we get (5-0)/(0-5). This equation equals 5/(-5), which equals -1. So, the slope is -1.

Then, to find the equation of the line, we can use the formula y-y1=m(x-x1).

In this equation:

y=a placeholder for the y that will be written in the actual equation

y1=needs to be replaced by a y value (you can choose which pair of coordinates it comes from)

m=slope

x=a placeholder for the x that will be written in the actual equation

x1=needs to be replaced by a x value (Needs to be in the same pair of coordinates as y1)

When we substitute the numbers we found, we will get:

y-5=-1(x-0)

y-5=-x

When we add x to both sides, we will get:

x+y-5=0

Answer:

distance across the pond: 13 yd

distance walked by Garret: 12 yd

Step-by-step explanation:

Data:

A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:

x² = 5² + (x-1)²

x² = 25 + x² - 2x + 1

0 = 26 - 2x

x = 13

Answer:

Step-by-step explanation:

5/12 * 300 = 125 times

The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is 125 times.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A die has 12 faces numbered 1 through 12.

And, The theoretical probability of rolling a prime number is 5/12.

Here, On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12.

Hence,

The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is,

⇒ 300 × 5/12

⇒ 1500 / 12

⇒ 125

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Answer:

C

Step-by-step explanation:

4 pizzas cut into 8 slices each is a total of 32 slices. This means that each student would get 2 of these slices, which is equivalent to 1/8 * 2= 1/4, or choice C. Hope this helps!

Answer:

C) 1/4

4x8=32

32/2=16

two-eighths=one-fourth

Answer:

-3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

4 + 7 = 11

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

the answer is B. 9 sides

Answer:

1) quadrants 1 and 3

2) quadrants 2 and 4

Step-by-step explanation:

Answer:

Yup i'm pretty sure its 8 :D

Step-by-step explanation:

Answer:

yeah, basically certain it 8!!

a) The correct statement to find the depth of the lake is,

⇒ 156 + |- 458|

b) The depth of the lake is,

⇒ 614 m

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The surface of Great Slave Lake is 156 m above sea level.

And, At the deepest point, the bottom of the lake is 458 m below sea level.

Here, The depth of the lake is find as;

⇒ 156 + |- 458|

⇒ 156 + 458

⇒ 614 m

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Answer:

.5

Step-by-step explanation:

When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.

The procedure to solve the equation x / 19.3 = 38.6 is to multiply both sides of the equation by 19.3. The solution is 744.98.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The equation is given in the question following as:

x / 19.3 = 38.6

To solve the equation, you would multiply both sides by 19.3 to get :

⇒ x = 19.3 × 38.6

Apply the multiplication operation, and we get

⇒ x = 744.98.

So, the solution is x = 744.98.

Therefore, the correct answer is D. Multiply both sides by 19.3; the solution is 744.98.

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Answer: D. Multiply both sides by 19.3; the solution is 744.98.

Step-by-step explanation:

took the test! :)

Answer:

C.

Step-by-step explanation:

The change rate is just to big to differ from 2-4 and M isnt the same rate as P in the problem, so the answer would be C. (hoped this helped :D

Answer:

A

Step-by-step explanation:

Rate of change of the functions is measured by their slopes.

Function M

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (0, 1) ← 2 ordered pairs from the table

m = [tex]\frac{1+9}{0+2}[/tex] = [tex]\frac{10}{2}[/tex] = 5

Function P

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x + 9 ← is in slope- intercept form

with m = 7

Thus

Their rates of change differ by 2 → A

It follows from the double angle identity for sine,

sin(2x) = 2 sin(x) cos(x),

that

2 cos(75º) sin(75º) = sin(2•75º) = sin(150º)

Alternatively, recall that

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Adding these together gives

sin(x + y) + sin(x - y) = 2 sin(x) cos(y)

Set x = y = 75º; then

2 sin(75º) cos(75º) = sin(75º + 75º) + sin(75º - 75º)

2 sin(75º) cos(75º) = sin(150º)

2 cos 75° . Sin 75° = Sin 150°

Notice:

Sin 150 º = Sin 30°

See that Sin 75° = Cos 15°

Cos 75° = Sin 15°

So :

2Cos 75° . Sin 75° = 2 Sin 15°Cos°15 = Sin 30°

Answer:

45,000

Step-by-step explanation:

80/100 = 36000/x

8x = 360000

x = 45000

Answer:

45000 seats

Step-by-step explanation:

Let t= total number of seats at the ballpark

t* 80% = 36000

Change to decimal form

t*.80 = 36000

Divide each side by .80

.80t/.80 = 36000/.80

t =45000