Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?

Answer:

x = 15

Step-by-step explanation:

You're trying to solve for x by doing two-step equations.

120- 4.5x = 45 + 0.5x

Add 4.5x to both sides and subtract 45 to both sides.

**Note I did 2 things at once to make it easier to look at.

120-45 = 4.5x + 0.5x

75 = 5x

Now divide 75 by 5

x = 15

The actual length the ball can travel in one rotation of 230 degrees is approximately 24.06 feet.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

We are given that;

The angle= 230 degrees

Radius of rope= 6ft

Now,

If the tether ball is tied to a rope with a radius of 6 ft and can rotate 230 degrees, then the length of the rope that the ball travels in one rotation can be found using the formula for the circumference of a circle, which is:

C = 2πr

where C is the circumference of the circle, r is the radius of the circle, and π is the mathematical constant pi (approximately equal to 3.14).

To find the length the ball can travel in one rotation of 230 degrees, we first need to convert 230 degrees to radians by multiplying it by π/180.

230 degrees * π/180 ≈ 4.01 radians

Now we can calculate the length of the rope that the ball travels in one rotation of 230 degrees using the formula:

L = rθ

where L is the length of the rope traveled by the ball, r is the radius of the circle (the length of the rope), and θ is the angle traveled in radians.

L = 6 ft * 4.01 radians

L = 24.06 ft

Therefore, by the given angle the answer will be approximately 24.06 feet.

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The volume of the rectangular lunch box is the amount of space in it

The volume in terms of W is LW^2 = 443.75

The volume is given as:

V = 355

Let the width of the box be W, and the height be H; such that:

W = 1.25H

Make H the subject

H = W/1.25

The volume is calculated as:

V = LWH

So, we have:

355 = L * W * W/1.25

Multiply through by 1.25

443.75 = L * W * W

This gives

443.75 = LW^2

Rewrite as:

LW^2 = 443.75

The diagram is not given. So, the question cannot be solved further

Hence, the volume in terms of W is LW^2 = 443.75

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Answer:

y = m x + b     is the standard form of a straight line

m = (y2 - y1) / (x2 - x1) = (10 - (-8)) / (-3 - 0) = 18 / -3 = -6

When x = 0 y = b from the equation for a line

y = - 8

So our equation is  

y = -6 x - 8

As a check let x = -2 then

y = (-6 * -2) - 8 = 12 - 8 = 4

Check on the graph to verify that this equation holds

Answer:

379.94

Step-by-step explanation:

A = πr²

A = 3.14(11 in.)²

A = 3.14(121 in²)

A = 379.94 in.²

[tex] \frac{150}{10} = \frac{300}{20} = \frac{450}{30} = \frac{600}{40} = 15[/tex]

[tex]for \: x = 15y[/tex]

[tex]50x = 50(15) = 750.00[/tex]

Answer:

56

Step-by-step explanation:

Answer:

Hope this helps!

since  y = - 3x and y = x - 4

we have

- 3x = x - 4

4x = 4

x = 1

and then y = - 3 * 1 = - 3

(1 ; - 3)

Answer:

(1,-3)

Step-by-step explanation:

y = -3x

y= x-4

Substitute -3x for y in the second equation

-3x = x-4

Subtract x from each side

-3x-x = x-4-x

-4x = -4

Divide each side by -4

-4x/-4 = -4/-4

x=1

Now we can find y

y = x-4

y = 1-4

y= -3

(1,-3)

Answer: -4.96x + 6

Step-by-step explanation:

In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.

-0.4 (10.2x-15+2.2x)

= - 4.08x +6 -0.88x

Now that you have this problem, combined like terms. What are the like terms in this problem?

The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.

-4.08x -0.88x +6

= -4.96x +6

This would be your final answer because nothing further can be done at this point.

hope this helps!

Answer:

C. 3000

Step-by-step explanation:

i took the quiz!

also 60 and 3000 line up

Answer:

C 3,000

Step-by-step explanation: It's right on Edge

Answer:

5/12

is the correct answer

see my question and come there now females

Step-by-step explanation:

Goal: illustrates radius, diameter, chord, center, arc, central angle, and

inscribed angle.

Role: Garden Designer/Landscape Architect

Audience: Math Teacher

Situation: A certified plantita and backyard owner plans to have a unique

garden. As a Landscape Architect, you are asked to make a sample layout of

a circular garden. She asks you to include the following on her garden:

● well

● pond

● bridge

● fountain

● walkways

● benches or chairs

● entrance and exit gates.

● trees, ornamental plants, and herbs

Procedure:

1. Draw a circle.

2. Conceptualize a circular garden and layout using the specified

items mentioned above.

What I Can Do

9

DISCIPLINE • GOOD TASTE • EXCELLENCE

3. Label the parts of circle formed on the garden layout

Please I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answer:

550.5323531336038

Step-by-step explanation:

I have a hint: if you ever need help with triangle trigonometry questions go to carbside depot trigonometry calculator it is a literal life savor

Answer:

x = -8

y = -3

Step-by-step explanation:

So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.

You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44

Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.

Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.

2 · -8 = -16.

-16 + 2y = -22. Add 16 to both sides to get 2y = -6. Divide both sides by to get y = -3.

Hope this helps! :)

Answer:

[tex]\displaystyle [3, -2][/tex]

Explanation:

All you do is substitute three in for [tex]\displaystyle x[/tex]to get the y-coordinate of [tex]\displaystyle -2.[/tex]This means that these equations meet at the ordered pair of [tex]\displaystyle [3, -2].[/tex]

I am joyous to assist you at any time.

Answer:

x=11

Step-by-step explanation:

It seems that the two angles are supplementary.  Soo they add up to 180

Thus,

15+15x=180

Solve for x...

15x=165

x=11

Hope this helps!!!

answer:

(-7; -5)

step by step

If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.

The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs

Rate = 5/12

The second step is to multiply the rate by the minutes run by Mr Goldsman.

5/12 x 90 = 37.5

= 37 minutes 30 seconds

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Answer:

A theoretical price point at which demand being equal

The theoretical price point at which demand equals supply is the correct answer.

Equilibrium is a state of balance or condition of stableness.

In economics, equilibrium is also the same, it is a condition in which prices become stable by the balance of market supply and demand.

It is a situation in which conditions cannot be changed by any economic agent strategy.

There are some properties of equilibrium

1. Consistency in the behavior of agents.

2. No economic agent has an incentive to change the behavior.

3. Equilibrium is the outcome of a few dynamic processes.

Therefore, the theoretical price point at which demand equals supply is the correct answer.

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Answer:

C

Step-by-step explanation:

Remark

The way to solve the problem is to figure out how many cubic feet would be present if the window was not there and then calculate the volume of the window and subtract it. That is the general method used to obtain the answer to the question you have asked.

Volume Original Shape

Each side of the figure is one side of a square.

So the volume of the square face is 6 by 6 or 6*6 = 36 (no window)

The window is 2*2 which is 4.

The volume of the original shape is 36 - 4 = 32

Volume new shape

Each side of the figure is 12 by 12 = 144    With no window

The size of the window is 4 by 4 =   16   With the window (Subtract)

The size of the modified figure is    128

Answer and discussion

The question is a bit ambiguous. I think the question means that the wall has gone from 32 to 128 cubic feet.  So you need Subtract to find the difference..

Answer: 128 - 32 = 96 which is C.

The missing side is the opposite or the adjacent of the right triangle

The length of the missing side is 9.9

To calculate the length of the missing side, we make use of the following Pythagoras theorem.

16.5^2 = 13.2^2 +a^2

Evaluate the exponents

272.25 = 174.24 +a^2

Collect like terms

a^2 = 272.25 - 174.24

Evaluate the like terms

a^2 = 98.01

Take the square roots of both sides

a = 9.9

Hence, the length of the missing side is 9.9

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Answer:

392 square inches

Step-by-step explanation:
To solve this we need to look at this quadrilateral as two shapes that share a side - a triangle and a rectangle.

You can see in the attatchment how I have drawn a dotted line indicating where they share a side.

From here we find the area of each shape seperately and add those areas together!

Rectangle:
Looking at the rectangle portion we can see that the width is 16 in and the length is 19 inches.  Don't be fooled by the long 30 inch side.  Remember, we are only looking at the portion that makes up the rectangle.

A = l*w = 16*19 = 304 inches squared

Triangle:
To find the area of the triangle, we use the formula A = (b*h)/2 where b = the length of the base and h = the height.

We can see in this attatched drawing that the height of the triangle is the same length as the width of the rectangle which is 16 inches.  

To find the base, you can do one of two things.  

1) use the pythagorian theorem (A^2 + B^2 = C^2) to solve for the missing side of the right triangle, where A is 16 inches, B is unknown and C is 19.4 inches.

2) *easier* using the information given, we can see that the longest side of this shape is 30 inches and is made up of the length of the rectangle (19 inches) and the base of the triangle (which is unkown - we can call it x)

Given that we know the total length and the length of the portion that belongs to the rectangle, we can say x = 30-19 = 11.  Therefore the base of the rectangle is 11 inches.

From here we use b*h/2
11*16/2 = 88 = area of the triangle in square inches.

Now for the easy part - add up the areas for the total!
Area (rectangle) + Area (triangle) = Area (total)
304 + 88 = 392 square inches

Answer:

163.75

Step-by-step explanation:

a scale factor applies normally to lengths (one-dimensional sizes).

and the perimeter is calculated just by lengths (the side lengths).

so, we can apply the scaling factor directly to the perimeter.

perimeter of DEF = 5/2 × perimeter of ABC = 5/2 × 65.5 =

= 163.75 ft

what was step 1 ? we did not need it ?

The relationship between e, f and g is an illustration of ratio

The ratio e : g is 2 : 7

The given parameters are:

e : f = 3 : 7

f : g = 2 : 3

Multiply e : f by 2.

So, we have:

e : f = 6 : 14

Multiply f : g by 7.

So, we have:

f : g = 14 : 21

Merge both ratios

e : f : f : g = 6 : 14 : 14 : 21

Remove repetition

e : f : g = 6 : 14 : 21

Remove f

e : g = 6 : 21

Divide by 3

e : g = 2 : 7

Hence, the ratio e : g is 2 : 7

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Answer:

sum the numbers of favorite food together.

pizza- 58.

hamburger- 36.

pasta- 14.

others- 17.

Addition of the favorite food will give us .

58+36+14+17=125.

pizza ..58/125 × 100 =46.4

Answer:

A = 5

I hope you have an amazing day!

Answer:

[tex]\boxed{70 \ \text{units}^{2}}[/tex]

Step-by-step explanation:

I assume that the polygon is made up of a rectangle and two triangles. Thus, the area of the polygon is the area of the triangles and the rectangle.

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[tex]\text{Area of polygon} = \text{Area of rectangle} + \text{Area of triangle}_{1} } + \text{Area of triangle}_{2}[/tex]

➡ [tex]\text{Area of polygon}= 49 + 7 + 14[/tex]

➡ [tex]{\bold{Area \ of\ polygon = 49 + 21 = \underline{70 \ units}^{2}}[/tex]

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Answer:

divide fifty out of one hundred times thirty. so x equals to fifteen hours

Answer:

-5

Step-by-step explanation:

because 6-1=-5 therefore the is -5

The possible turning point for the continuous function f(x) is (-2, -1)

A stationary point is called a turning point if the derivative changes sign (from positive to negative, or vice versa) at that point.

There are two types of turning point:

A local maximum, the largest value of the function in the local region. A local minimum, the smallest value of the function in the local region.

Given are the coordinates of a function,

We need to find the turning point of the same,

Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.

Hence, the possible turning point for the continuous function f(x) is (-2, -1)

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The complete question is attached

Answer:

43

Step-by-step explanation:

equation= sqrt (x2-x1)^2 + (y2-y1)^2