[30 POINTS] An automobile steering wheel is shown. The ideal mechanical advantage of this wheel and axle = _____ .

Answer:

10.) y = -5x + 7

12.) y = 3/2x - 8

Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.

10.)

2 = -5(1) + b.

2 = -5 +b

b = 7

therefore...

y = -5x + 7

12.)

2(-5) = 3(2) + b

-10 = 6 + b

b = -16

therefore...

2y = 3x - 16

simplified:

y = 3/2x - 8

Answer:

y = 3 and x = -2  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Solve for y                                                  

4y - 2x = 16

-y + 2x = -7

3y    =  9

y = 9 ÷ 3

y = 3

Input y to find x

2x = 4(3) - 16

2x = 12 - 16

2x = -4

x = -4 ÷ 2

x = -2

Input both x and y to see if it works

2(-2) = 4(3) - 16                                2(-2) - 3 = -7

-4 = 12 -16                                         -4 -3 = -7

-4 = -4                                                 -7 = -7

The solution to the system of equations is [tex]x = -2[/tex] and [tex]y = 3[/tex].

To solve the system of equations given by

Here is a step-by-step guide on how to solve for [tex]x[/tex] and [tex]y[/tex].

Step 1: Simplify the first equation

Start by rearranging the first equation to express it in terms of one variable. We can isolate [tex]y[/tex]:

[tex]2x = 4y - 16[/tex]
[tex]4y = 2x + 16[/tex]
[tex]y = \frac{2x + 16}{4}[/tex]
[tex]y = \frac{x}{2} + 4[/tex]

Step 2: Substitute [tex]y[/tex] in the second equation

Now, we can substitute [tex]y[/tex] in the second equation:

[tex]2x - \left(\frac{x}{2} + 4\right) = -7[/tex]

Step 3: Solve for [tex]x[/tex]

Distributing the negative and simplifying:

[tex]2x - \frac{x}{2} - 4 = -7[/tex]

Multiply every term by 2 to eliminate the fraction:

[tex]4x - x - 8 = -14[/tex]

This simplifies to:

[tex]3x - 8 = -14[/tex]
[tex]3x = -14 + 8[/tex]
[tex]3x = -6[/tex]
[tex]x = -2[/tex]

Step 4: Substitute [tex]x[/tex] back to solve for [tex]y[/tex]

Now substitute [tex]x = -2[/tex] back into the equation for [tex]y[/tex]:

[tex]y = \frac{-2}{2} + 4[/tex]
[tex]y = -1 + 4[/tex]
[tex]y = 3[/tex]

Answer:

3/4

Step-by-step explanation:

- He ate 1/4

- 4-1=3

- 3/4 of the pizza is left

Final answer:

The fraction representing the remaining pizza after Jason ate 1/4 of it is 3/4. We calculate this by subtracting the portion Jason ate (1/4) from the whole (4/4).

Explanation:

If Jason ate 1/4 of the whole pizza for dinner, we can easily calculate the fraction that represents the amount of pizza remaining. To find out the remaining portion of the pizza, we subtract the portion Jason ate from the whole. Since the whole is considered to be 1 (or 4/4 in this case, as there are four quarters in a whole), we subtract 1/4 from 4/4:

Remaining pizza = Whole pizza - Portion eaten by Jason

Remaining pizza = 4/4 - 1/4

Remaining pizza = (4 - 1)/4

Remaining pizza = 3/4

Therefore, the fraction that represents the remaining pizza after Jason has eaten is 3/4.

Final answer:

To convert 3 square feet to square centimeters, multiply by the correct conversion factor of 9.29 × 10⁻².

Explanation:

To convert square feet to square centimeters, you need to understand the conversion factor between these two units. Since 1 foot is equal to 30.48 centimeters and area is defined as the product of the two dimensions, you need to square the conversion factor of 30.48 to convert square feet to square centimeters.

So, the correct conversion factor is (30.48 cm/1 ft)².

To convert 3 square feet to square centimeters, you can use the conversion factor as follows:

(3 ft²) × (30.48 cm/1 ft)² = 274.32 cm²

Therefore, the statement is True as multiplying 3 by the correct conversion factor of 9.29 × 10⁻² will indeed give you the value of 274.32 square centimeters.

Answer:

2 3/8

Step-by-step explanation:

1 1/4 + 1 1/8

We need to get a common denominator to add the fractions.  The common denominator is 8

1 1/4 *2/2  + 1 1/8

1 2/8 + 1 1/8

2 3/8

Answer:

(2)^9•(3)^3•(7)^3•(17)^3

Step-by-step explanation:

(34•84)^3

=(34)^3•(84)^3

=(2•17)^3•(2•2•3•7)^3

=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3

=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3

=(2)^9•(3)^3•(7)^3•(17)^3

Answer:

The answer is 2^9•3^3•7^3•17^3

Step-by-step explanation:

First, we simplify the expression inside bracket

34•84

= (2•17)•(2•42)

= (2•17)•(2•2•21)

= (2•17)•(2•2•3•7)

= 2^3•3•7•17

Substituting back

(34•84)^3

= (2^3•3•7•17)^3

= 2^9•3^3•7^3•17^3

[tex]f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}[/tex]

Answer:

Solutions are  (3, -8) and (5, -10)

Step-by-step explanation:

From the equation x + y + 5 = 0 :-

x = -y - 5

Substitute for x in the other equation:

y = (-y - 5)^2 - 9(-y-5) + 10

y = (y^2 + 10y + 25) + 9y + 45 + 10

y^2 +  18y + 80 = 0

( y + 8)(y + 10) = 0

y  = -8, -10

Substitute these values of y in the equation x + y + 5 = 0:-

x = -8:-

x - 8 + 5 = 0 so x = 8-5 giving.x = 3

x = -10:-

x - 10 + 5 = 0 sox = 10-5 giving x = 5

[tex]x^2=\dfrac{121}{196}\iff x=\pm\sqrt{\dfrac{121}{196}}\\\\x=-\dfrac{\sqrt{121}}{\sqrt{196}}\ \vee\ x=\dfrac{\sqrt{121}}{\sqrt{196}}\\\\\boxed{x=-\dfrac{11}{14}\ \vee\ x=\dfrac{11}{14}}\\\\\sqrt{a}=b\iff b^2=a\\\\\sqrt{121}=11\ \text{because}\ 11^2=121\\\\\sqrt{196}=14\ \text{because}\ 14^2=196[/tex]

Equivalent fractions are fractions that are equal to each other.

So they might have different denominators

and different numerators but they're

going to be equal fractions.

Answer:

27 boys

Step-by-step explanation:

1. divide 54 by 2

the answer will come up to 27.

to check your work you can do 27 times 2

27 × 2 = 54

dude, use a calculator

Step-by-step explanation:

Answer:

= 11.02

Step-by-step explanation:

Firstly, we need to find the percentage of the amount left first. This can be done by subtracting the percentage from 100:

100 - 33 = 67

To find the percentage of something, you need to use the following equation:

Amount x [tex]\frac{percentage}{100}[/tex]

Simply plug the given values in:

16.45 x [tex]\frac{67}{100}[/tex] = 11.02

So the answer is 11.02!

Answer:

Part A: $27.32

Part B: $32.24

Step-by-step explanation:

Part A:

$25.30 is the cost, since we are increasing it by the 8% meals tax, we are going to do 25.3 * the decimal form of 8%, or 0.08, plus one so that we already have our 25.3 factored in. Which equals 25.3 * 1.08, which equals 27.324, which we round to $27.32.

Part B:

We take our $27.32 and we times it by 1.18 for the reason stated above, which equals 32.2376, which is rounded to $32.24.

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  

BOLD number are multiples of 4 or 6

4 out of the 15 numbers are a multiple of either 4 or 6,

so the probablilty would be 4/15 or a 26.6% chance.

The probability that the result is a multiple of 6 or a multiple of 4 is 4 /15.

The spinner has 15 equal areas numbered 1 through 15.

If the spinner is spun one time the probability of getting a multiple of 6 or a multiple of 4 can be calculated below;

The numbered side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15.

multiple of 6 are 6 and 12.

multiple of 4 are 4, 8 and 12

union of the set = 4, 6, 8, 12

number of acceptable value = 4

The probability of getting a multiple of 6 or a multiple of 4 = number of acceptable value / number of possible value

probability of getting a multiple of 6 or a multiple of 4 = 4 / 15 = 4 / 15

learn more: https://brainly.com/question/19217522?referrer=searchResults

Answer:

it says it already a function so your just plotting (-4,10) (0,8) (4,6) (10,3) on a graph, there isnt a graph to do it for you. Sorry if im reading this wrong :(

Step-by-step explanation:

Answer:

The points represent a linear function (first-order polynomial).

Step-by-step explanation:

The points are included in the attached image, which depicts a constant slope and, consequently, represents a linear function (first-order polynomial).

Answer: The answer is 60.

Step-by-step explanation: To determine this, we need to square root the number in question. In this case, that’s 3600.

The square root of 36 is 6, so the square root of 3600 is 60, following the rules of zeros.

I hope this helps!

Answer:

2520

Step-by-step explanation:

There are 405 deer per 45 tags.

The ranger tagged 280 deer.

No. of deer = 280 × 405/25

No. of deer = 280 × 9

No. of deer = 2520 deer

There are 2520 deer in the forest

Answer:

Total deers in the forest is 640

Step-by-step explanation:

Since the Number of tagged deer is 280

the number of caught deer is 405 after all tagged deers were released

Surprisingly 45 of 280 of tagged deer was found hence the remaining tagged deer has exscaped in to the forest

The number of deers in the forest is

405-45+250=640

The remaining tagged deer that did not return is

280-45= 235

Answer:

The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is  5.

Step-by-step explanation:

When we add the 5 inside the absolute value, we shift the graph to the left 5 units.   The y intercept  of abs (x) is 0 and the y intercept of y = abs(x+5) is 5 .  The x intercept of  y =abs (x) is 0 and the x intercept of y =abs(x+5) is -5.  The graph has the same shape

Answer:

The pole is 6 ft tall

Step-by-step explanation:

We can solve this using ratio's

4ft tall Mary        x ft tall  pole

-----------        =     -------------------

10 ft shadow      15 ft shadow

Using cross products

4 * 15 = 10 x

60 = 10x

Divide by 10

60/10 = 10x/10

6 =x

The pole is 6 ft tall

Answer:

it is 6 feet

Step-by-step explanation:

i dont have much of an explaination except that you have to draw a diagram inorder not tom get confused.

hope it helps.

A point has been translated right and up from point D could be the image of B.

It indicates that a point was translated right and up.

As a result, any point existing on the rightmost side cannot be the translated point.

As a result, points E and D are ruled out.

There is no point that is higher than point A.

As a result, no "up" translation is available for point A.

Only points C and B are capable of "right and up" movement.

As a result, the first option "Point D could be the image of B" is correct.

Answer:

Price of floor seat =$ 17 and

Price of stadium seats = $8.5

Step-by-step explanation:

Let x represents the cost of floor seats and y represents the cost of stadium seats.

Then, from the given condition, we have;

Total cost for selling floor seats =  62x  and the total cost for stadium seats = 120y.

Since, a math club earn $2,080.

⇒ 62x + 120y = 2080                         .....[1]

Also, it is given that the floor seats cost twice as much as Stadium seats.

⇒ x = 2y                                               .....[2]

Substitute this equation [2] in [1] we get;

[tex]62(2y) + 120y = 2080[/tex]

Simplify:

124y + 120y =2080

Combine like terms;

244y =2080

Divide both sides by 144 we get;

[tex]y = \frac{2080}{144} = 8.5[/tex]

⇒y = $8.5

Substitute this in [2] we get x;

x = 2(8.5) = 17

i.e, x = $ 17

Therefore, the price of floor seat is, $ 17 and the price of stadium seats is, $8.5

Answer:

1. =

Step-by-step explanation:

Absolute value means always positive

so

|60| ___ |-60|

60  _____ 60

They are equal

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.

We know the probability of rolling a 4 on one cube will be [tex]\frac{1}{6}[/tex]. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be [tex]\frac{1}{6}[/tex].

But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is [tex]\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}[/tex] which simplifies to [tex]\frac{1}{216}[/tex].

Answer:

51,400 thats my answer hope it helps!

Answer:

Option a. $2077.88 is the correct answer.

Step-by-step explanation:

Your housing and fixed expenses are $685.70 per month.

If they are 33% of your realized income.

Let your realized income per month be x

33% of x = $685.70

[tex]\frac{33}{100}[/tex] of x = 685.70

0.33x = 685.70

x = 685.70 ÷ 0.33 = 2,077.8787 rounded to $2,077.88

Your realized income per month would be $2,077.88.

Answer:

A = 2/5

Step-by-step explanation:

r = sqrt(v) / (pi*h)

10 = sqrt(v) /(pi * h)

Solve for the volume by multiplying by pi * h on each side

10 * pi * h = sqrt(v)

Now square each side

(10*pi* h) ^2 = v

Now we have a second cylinder with a height that is 25 times the height of the other cylinder  but the same volume.  Solving for volume, we will multiply by

r = sqrt(v) / (pi*h)

r = sqrt(v) /(pi *25h)

r* pi * 25h = sqrt(v)

Now square each side

(r*pi*25h) ^2 = (sqrtv) ^2

(r*pi*25h)^2 = v

The problem states the the 2 cylinders have the same volume

(10 * pi * h) ^2 =  ( r * pi * 25h) ^2

Take the square root of each side

10*pi*h = r*pi * 25h

Divide each side by pi and h

10 = 25r

Divide by 25

10/25 =r

2/5 =r