What is -1/4(-8.6) written as a decimal to the nearest hundredth

x=12.0; y=19.6

Option 4 is the right answer.

What are the properties of tangent of the circle?

A tangent is correctly formed only if touches the circle at only one point. A tangent never passes through a circle, that is, it never crosses the circle while entering its interior. A tangent is also not known for intersecting the circle at the two different points.

Since, in a circle the radii are equal.

So, OA=OB=x=12

Tangent to a circle is the line that touches the circle at only one point.

The length of tangents from an external point to a circle are equal.

By the theorem,

If two tangents are drawn from an external point of the circle, then they are of equal lengths.

So, AC =BC (by the theorem)

AC and BC look to be tangents- tangents to a circle from a point are congruent.

So, AC is congruent to BC.

Thus, AC=BC=y=19.6

Hence, x=12.0 and y=19.6

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Answer:

3 and 3/11

Step-by-step explanation:

[tex]\frac{8}{2 \frac{4}{9} } \\\\\frac{8}{ \frac{22}{9} } \\\\= 8 / \frac{22}{9} \\\\= \frac{8}{1} / \frac{22}{9} \\\\= \frac{8}{1} * \frac{9}{22} \\\\[/tex]

[tex]=\frac{72}{22} \\\\= 3 \frac{6}{22} \\\\= 3 \frac{3}{11}[/tex]

Step-by-step explanation:

8 ÷ 2 4/9

so, as always with operations involving fractions I recommend to convert mixed numbers to full fractions first :

2 4/9 = (2×9 + 4)/9 = (18 + 4)/9 = 22/9

the division looks then like this :

8 ÷ 22/9

or

8 / 22/9 = 8/1 / 22/9

remember, when we divide by a fraction, then this is the same as a multiplication with the upside-down fraction :

8/1 × 9/22 = 8×9 / 1×22 = 72/22 = 36/11 =

= (3×11 + 3)/11 = 3 3/11

8 ÷ 2 4/9 = 3 3/11

the symbols ÷, /, : have a little bit different semantic meaning in their context, but they all do the same thing : divide.

and they are therefore interchangeable.

Answer:

The area of the compound shape is 5√10 cm²

Step-by-step explanation:

In the given shape, there is a rectangle and a right angle triangle.

i.e.,

Compund shape = Rectangle + Triangle

So,

Area of Compound Shape = Area of Rectangle + Area of Right Angle Triangle

Formula;

A = 2√5 × 2√2 cm

A = 4√10 cm²

Formula;

A = ½ × √2 × 2√5 cm

A = 1 × √2 × √5 cm

A = √10 cm²

Now,

Area of Compound Shape = Area of Rectangle + Area of Right Angle Triangle

A = 4√10 cm² + √10 cm²

A = 5√10 cm²

Thus, The area of the compound shape is 5√10 cm²

Answer:

3x is a single term

Step-by-step explanation:

The "3" is a coefficient. The "x" is the variable. is also a single term.

hope this helps

Answer:

13.85$

Step-by-step explanation:

105$-8$=97$

97$/7$=13.85$

Answer: About $13.86

Step-by-step explanation: To find how much the cost of the forks is, we need to subtract the value of the lunch box from the total cost, because we don't need to find the value of the lunch box. So:

105 - 8 = 97

So, now since he bought 7 forks, we need to divide 7 by 97. So:

97 / 7 = 13.857142857142858

So, we need to round to the nearest cent. So, the 7 is greater than 5, so we round up. So, we have $13.86 each. So, check, we do:

13.86(7) + 8

97.02 + 8

= 105.02

This is the closest he can buy for each fork is ABOUT $13.86. I hope this helps ;)

If Brandon does 14 hours at the grocery store and 13 hours at the nursery the the total working hours = 96 hours

And if Brandon does g hours at the grocery store and n hours at the nursery then total working hours = (5g + 2n) hours

In this question we ahve been given Brandon has two summer jobs. During the week he works in the grocery store, and on the weekend he works at a nursery.

He gets paid $15 per hour to work at the grocery store and $20 per hour to work at the nursery.

We need to find the total working hours if he does 14 hours at the grocery store and 13 hours at the nursery.

Also, we need to find total working hours if he does g hours at the grocery store and n hours at the nursery.

We know that the number of week days = 5 and the number of weekend days = 2

if he does 14 hours at the grocery store during 5 days, then by unitary method he will work for 14 * 5 = 70  hours

Similarly, if he does13 hours at the nursery for 2 days, this means by unitary method he is working for 13 * 2 = 26 hours

So, the total number hours of working during a week,

70 + 26 = 96 hours

Let he does g hours at the grocery store

During week days total working hours would be,

= number of weekdays * number of working hours

= 5 * g

= 5g

and n hours at the nursery.

= number of weekend days * number of working hours

= 2n

so, the total hours would be 5g + 2n

Therefore, a) the total hours does he work if he does 14 hours at the grocery store and 13 hours at the nursery = 96 hours

b) the total hours does he work if he does gg hours at the grocery store and nn hours at the nursery = (5g + 2n) hours

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In step 2: the additive property of equality was applied.

In step 4: the division property of equality was applied.

What are the properties to solve equation?

The properties of the relationship of equality, reflexivity, symmetry, transitivity, and the properties of operations are employed to solve an equation.

These characteristics hold true in both propositional language and arithmetic.

The following can be used to sum up this: An equality is still valid if the exact same operation is carried out on both sides of the equality.

Given that:

Step 1: 3x - 10 = -16

The additive inverse of -10 is +10

Step 2: 3x - 10 + 10 = -16 + 10 [Additive inverse]

Step 3: 3x = -6

Step 4: 3x/3 = -6/3  [Division property]

Step 5: x = -2

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Answer:

Because when you divide 100 by 4 and 50 by 2, you will get the same value

Step-by-step explanation:

what equations do we really have here ?

there seem to be typos in the equations.

I assume you truly have

x + 3y = 12

-5x + y = -12

now, elimination means that we multiply the equations (both sides to keep the equations in their information unchanged) by applying factors and then add the resulting equations.

the result should have "eliminated" one of the variables, so that we can solve for the remaining variable.

and then we use that result and one of the original equations to solve for the second variable.

in our case I suggest we try to eliminate x first.

so, we multiply the first equation by 5. the second equation can stay as it is.

and then we add both :

5x + 15y = 60

-5x + y = -12

-----------------------

0 16y = 48

y = 48/16 = 3

using e.g. the original first equation :

x + 3y = 12

we put in the already calculated value for y (3) and solve for x :

x + 3×3 = 12

x + 9 = 12

x = 12 - 9 = 3

x = 3

y = 3

you understand the principle ? please let me know, if you have further questions.

if your actual equations are different to my assumptions, you need to apply this in the same way as I showed you here to whatever the real equations are.

Answer:

  (x, y) = (3, 3)

Step-by-step explanation:

You want to solve by elimination the system of equations ...

The point of the elimination method is to combine the equations in a way that causes the coefficient of one of the variables to become zero. In general, this can be accomplished by multiplying each equation by the coefficient of the chosen variable in the other equation, then subtracting the results one from the other.

Considering the x-coefficients, we can multiply the first equation by -5, the second by 1 and subtract the first product from the second. This eliminates the x-variable.

  1(-5x +y) -(-5)(x +3y) = 1(-12) -(-5)(12)

  -5x +y +5x +15y = -12 +60 . . . . . . . . . . eliminate parentheses

  16y = 48 . . . . . . . . . . . . . . . . . . . collect terms

  y = 3 . . . . . . . . . . . . . . . . divide by 16

Now, we need to find x. We can do this by substituting for y in either equation. We choose to use the first equation:

  x + 3(3) = 12

  x = 3 . . . . . . . . . . subtract 9

The solution to the system of equations is (x, y) = (3, 3).

__

Additional comment

We chose to explain the elimination in terms of subtraction. That subtraction can be done in either order:

  -5(equation 1) -1(equation 2)

or

  1(equation 2) -(-5)(equation 1)

We chose the latter order so the coefficient of y would end up positive. We find fewer mistakes are made when the signs are positive.

Your curriculum materials may explain the elimination process in terms of addition. You may have noticed that subtracting -5 times the first equation is the same as adding 5 times the first equation. When you do this using addition, one of the multiplier coefficients needs to be the opposite of the coefficient of the variable in the other equation.

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Answer:

B. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are angles opposite outside of each other and have the same degree. So the answer is B

The 38 square feet increase in the area of the patio following the increase in the length and width by 2 feet and the 2 square feet increase following the increase in the length by 2 feet and decrease in the width by 2 feet indicates that the area of the patio is 70 square feet.

The area of a plane figure is the space occupied by the figure of a specified surface upon which it is placed.

Let L represent the length of the patio, and let W represent the width of the patio, we get;

Area of the patio = L × W

(L + 2) × (W + 2) = L·W + 2·L + 2·W + 4 = Area + 38

Therefore; (L + 2) × (W + 2) = L·W + 2·L + 2·W + 4 = L × W + 38

2·L + 2·W + 4 = 38 (subtraction property)

2·L + 2·W = 38 - 4 = 34

2·L + 2·W = 34...(1)

(L + 2) × (W - 2) = L·W - 2·L + 2·W - 4 = Area + 2 = L·W + 2

L·W - 2·L + 2·W - 4 - L·W = L·W + 2 - L·W (Subtraction property)

2·W - 2·L - 4 = 2

2·W - 2·L - 4 + 4 = 2 + 4 = 6 (Addition property)

2·W - 2·L = 6...(2)

The simultaneous equations (1) and (2) are solved as follows;

Adding equation (1) to equation (2), we get;

2·L + 2·W + 2·W - 2·L = 34 + 6 = 40

4·W = 40

W = 40 ÷ 4 = 10

W = 10

The width of the patio, W = 10 feet

2·W - 2·L = 6, therefore;

2 × 10 - 2·L = 6

2·L = 2 × 10 - 6 = 14

L = 14/2 = 7

The length of the patio, L = 7 feet

The area of the patio = L × W

L × W = 7 feet × 10 feet = 70 square feet

The area of the patio = 70 square feet

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Answer: 7%

Step-by-step explanation:

Take 6848 divided by 6400, then times 100 = 107%

Then take 107% - 100% = 7%

The sales tax percentage is 7%

Answer: 6 1/2. yards

Step-by-step explanation:    you have to add 1 1/3 + 5/6, which is 2 1/6. 2 1/6x3=6 1/2.  then thats your answer

The diameter of a bicycle wheel is 24 inches. Around the wheel, there are 32 spokes that are spaced 48 meters away from one another.

The diameter of a circle is the distance measured through its center. The radius of a circle is the distance from the center to any point on the edge. Diameter divided by radius equals two, or 2r=d. 2 r = d . The simplest place to start would be to use a ruler to measure the distance between the circle's outside edges starting from its very center. The diameter would be that.

The diameter of the circle is the measurement at issue. The distance between the circle's center and its periphery can be measured.

far apart is each spoke (distance) = radius = diameter / 2

distance = 24/2

distance = 12

Since a wheel has 4 parts. so, 12*4 =  48 m

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The force required to accelerate a 0.50kg ball at 2000m/s² is 100 N

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Motion is described in physics as a change in position with respect to time. Motion, to put it simply, is the movement of a body. Motion is typically characterized as:

Variation in speed

Change of course

In the given problem the force required to change the body's state is calculated by the formula

F = mass *  acceleration

= 0.5 * 200

= 100 N

the force is 100N

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To cut the standard error of the mean in half, the sample size must be increased by a factor of four.

Therefore, the answer is False.

The formula to determine the standard error of the mean is

SE = SD/ √n

where SD is the standard deviation

n is the sample size

Therefore the standard error of the mean is inversely proportional to the square root of the sample size. Thus in order to decrease the standard error of the mean to half, we should increase the sample size by a factor of 4.

SE' = SD/ √(4n)

SE' = SD/ 2n

SE' = SE/ 2

--The question is incomplete, answering to the question below--

"To cut the standard error of the mean in half, the sample size must be increased by a factor of two. True or False."

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The amount  Trevor's family spent, in total, on shower water in the past month = 0.03 dollars per minute

In this question we have been given there are 6 people in Trevor's house.

There are 3 bathrooms in the house.

Each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month)

We need to find the amount of money Trevor's family spent, in total, on shower water in the past month.

By unitary method,

72 * 6 = 432 liters of shower water used by the entire family over the month

Each liter costs $0.2

so by unitary method,

the total amount paid:

A = 432 * 0.2

  =  86.4 dollars

Each person showered for an average of 480 minutes.

So, total minutes would be 6x480 = 2880 minutes.

So, the required amount would be,

86.4/2880 = 0.03 dollars  per minute

Therefore, Trevor's family paid $0.03 per minute on shower water.

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The first derivative of quadratic function is obtained as a linear function.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) =  lim h --> 0 (f(x + h) - f(x)) /(x + h - x).

It can also be described as the slope of the tangent of function at a given point.

The general form of a quadratic function is as below,

f(x) = ax² + bx + c

Its first derivative can be written as below,

f'(x) = 2ax + b

The degree of the function f'(x) is 1.

Thus, it is a linear function.

Hence, the function to describe the derivative of quadratic function is linear.  

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The speed of the boat in still water is - 37 km/h

let,  the distance be 'x' km/hr.

And the speed of the boat in still water is 'S' km/hr.

According to the question,

In downstream,

x = ( S + 3 ) * 4.5 ..........(1)

Similarly,

In Upstream,

x = ( S - 3)* 5 ........... (2)

From equations (1) and (2),

  ( S + 3 ) * 4.5 = (S - 3) * 5

or, 4.5 S + 13.5 = 5S -  15

or, 5S - 4.5S = 15 + 13.5

or, 0.5S = 18.5

divide both sides by 0.5,

0r, S = 37

So, the speed of the boat in still water is - 37 km/h

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William ran for 48 minutes since Eliot ran for 8 miles in 40 fewer minutes than William. They were running at the same speed.

Eliot and William both went running and ran for 8 miles and 12 miles respectively. Eliot finished his 8 mile run in 40 fewer minutes than William. This means that if the two of them were running at the same speed, it would take William 40 minutes longer than Eliot to finish his 12 mile run. To calculate how long William ran for, we can add 40 minutes to the time it took Eliot to run 8 miles. Since Eliot ran 8 miles in 40 fewer minutes than William, this means that Eliot ran 8 miles in the amount of time that William ran 12 miles. The total time William ran for is therefore 8 miles plus 40 minutes, which is 48 minutes.

Eliot: 8 miles ÷ 40 minutes fewer

= 0.2 miles/minute

William: 12 miles ÷ (0.2 miles/minute x 40 minutes)

= 48 minutes

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If the larger triangle has a perimeter of 62 feet, its area will be 120 square feet.

We know that the perimeter of the smaller triangle is 31 feet, which means that the sum of the lengths of its three sides is 31 feet. We also know that the area of the smaller triangle is 40 square feet. We can set up the following equation to calculate the length of each side of the smaller triangle:

Side 1 + Side 2 + Side 3 = 31

We can then use the formula for the area of a triangle, A = bh/2, to calculate the length of the base and height of the smaller triangle. Since we know the area is 40 square feet, we can set up the following equation:

40 = (b)(h)/2

We can then solve this equation for b and h. We know that b + h = 31, so we can set up the following equation and solve for h:

h = 31 - b

Now that we know b and h for the smaller triangle, we can use the same formula to calculate the area of the larger triangle. Since we know that the perimeter of the larger triangle is 62 feet, we can set up the following equation to calculate the length of each side of the larger triangle:

Side 1 + Side 2 + Side 3 = 62

We can then use the following formula to calculate the area of the larger triangle:

A = (b)(h)/2

We know that b + h = 62, so we can set up the following equation and solve for h:

h = 62 - b

Now that we know b and h for the larger triangle, we can plug those values into the area formula and calculate the area of the larger triangle. The area of the larger triangle is 120 square feet. Therefore, if the larger triangle has a perimeter of 62 feet, its area will be 120 square feet.

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If a credit card has an average daily balance of $1250 and the annual interest rate is 18%, the total bill for the month will be $1,268.75.

The average daily balance is the quotient resulting from the summation of the card's daily balances and the division by the number of days in the billing cycle.

The finance charge, which represents the interest and other fees for the use of the credit card, is computed by applying the monthly percentage rate (MPR) on the average daily balance.

Average daily balance = $1,250

Annual interest rate = 18%

Monthly percentage rate = 1.5% (18% ÷ 12)

Finance charge = $18.75 ($1,250 x 1.5%)

Total bill for the month = Average daily balance + Finance charge

= $1,268.75 ($1,250 + $18.75)

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Distributive Property

Addition Property of Equality

Simplifying

Division Property of Equality

Simplifying

Answer:

Divide 5 to both side.

Step-by-step explanation:

Original Equation:

[tex]5(x-3)=5[/tex]

2nd Equation:

[tex](x-3)=1[/tex]

Single Steps:

Divide 5 to both side on Original Equation to get 2nd Equation.

Answer: x=(10-sqrt(128))/14=(5-4sqrt(2))/7=-0.094

Step-by-step explanation:  (7x2 -  10x) -  1  = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  7x2-10x-1

The first term is,  7x2  its coefficient is  7 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   7 • -1 = -7

Step-2 : Find two factors of  -7  whose sum equals the coefficient of the middle term, which is   -10 .

     -7    +    1    =    -6

     -1    +    7    =    6

Answer:

aproximantly 131.1701yen

Step-by-step explanation:

Answer:

15430 Japanese yen

Step-by-step explanation:

To find out how many Japanese yen you receive for 100 British pounds, we need to find the exchange rate between British pounds and Japanese yen in the table. From the table, we can see that the exchange rate between British pounds and Japanese yen is 154.43. Therefore, if you exchange 100 British pounds, you will receive 100 * 154.43 = 15430 Japanese yen.