What is the decimal equivalent of 8/12?

If four friends have $525 that they want to share equally and they divide the money so that each friend gets a $100 bill, then next step will be divide the remaining money so that each friend gets a $31.25

Total money the have = $525

they divide the money so that each friend gets a $100 bill

The amount of money they split equally = 4×100

= $400

Remaining money = 525-400

= $125

Split the remaining money into 4 = 125/4

= $31.25

Hence, If four friends have $525 that they want to share equally and they divide the money so that each friend gets a $100 bill, then next step will be divide the remaining money equally so that each friend gets a $31.25

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Answer: -210 is your answer

Step-by-step explanation:

I took the test and worked it out

Answer: -210

Step-by-step explanation: remembered answering this question once and -210 was the right answer

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Answer:

The 3rd one should be right

Step-by-step explanation:

I hope that helps

Answer: x=1   x=2

Step-by-step explanation:

x²-3x+2=0

x²-x-2x+2=0

(x²-x)-(2x-2)=0

x(x-1)-2(x-1)=0

(x-1)(x-2)=0

x-1=0

x-1+1=0+1

x=1

x-2=0

x-2+2=0+2

x=2

Answer:

Left tailed test

Step-by-step explanation:

A two tailed test usually determined by the alternative hypothesis involves both the less than and the greater than option.

A left tailed test corresponds to an alternative hypothesis having just one of either options (less than and the greater than option) usually the less than option.

A right tailed test corresponds to an alternative hypothesis having just one of either options (less than and the greater than option) usually the greatest than option.

In this experiment, the null hypothesis is the average amount of time that spend watching television each week is ---

He introduces a campaign to encourage the students to watch less television and then performs a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. The alternative hypothesis would be: u < ---. This means that this test is a left tailed test.

The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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Using PEMDAS and substituting 6 for x, the results of the mathematical operations are as follows:

PEMDAS is the order of mathematical operations that explains the correct sequential steps for evaluating mathematical expressions.

PEMDAS means that mathematical operations must follow the following order:

1) 9. x - 6 ( if x = 6)

= 9 x 6 - 6

= 54 - 6

= 48

2) 10. 7 + x ( if x = 6)

= 10 x 7 + 6

= 70 + 6

= 76

3) 11. 3x - 9 ( if x = 6)

= 11 x 3(6) - 9

= 11 x 18 - 9

= 198 - 9

= 189

4) 12. 63/x ( if x = 6)

= 12 x 63/6

= 126

5) 13. 5 + 5x + 10 ( if x = 6)

= 13 x 5 + 5(6) + 10

= 65 + 30 + 10

= 105

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Answer:

64.40$

Step-by-step explanation:

Answer:

3kg = $34.20

34kg= ?

x= (34 x $34.20)/3

x= 1162,80/3

x= $387,60

\(\large\sf\underline{ANSWER:}\)

C. 90 square inches

Length (l) = 3 in

Width (w) = 3 in

Height (h) = 6 in

Surface area of figure

= 2 (lw+wh+hl)

= 2 (9+18+18)

= 90 in²

#\(\large\sf\underline{CarryOnLearning}\)

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

Step-by-step explanation:

To find the possibilities, you would see that you would have two yellow shirts and two green shirts with different trousers, so you can eliminate the bottom two. And because there will be two of each shirt with defferent trousers, it will be the same for trousers: two of each trouser will be in the possibilities. The only one that fits this description, is the first one.

yellow shirt, white trouser

yellow shirt, black trouser

green shirt, white trouser

green shirt, black trouser

Answer:

A ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.

Step-by-step explanation:

Let's use variables to represent the cost of each dinner. Let's say that the cost of a ribeye steak dinner is "r" and the cost of a grilled salmon dinner is "s".

From the first day's sales, we know:

From the second day's sales, we know:

We now have two equations with two variables, which we can solve using elimination or substitution.

Let's use elimination. If we multiply the first equation by 15 and the second equation by 11, we can eliminate the "r" variable:

Subtracting the second equation from the first, we get:

Dividing both sides by 133, we get:

So a grilled salmon dinner costs $14.04.

We can substitute this value back into one of the original equations to solve for "r". Let's use the first equation:

So a ribeye steak dinner costs $32.23.

Therefore, a ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.

Answer:

45/8

Step-by-step explanation:

Answer:

x=1.11772568, -0.48679593

I think this is right, hope it helps!

Answer:

\(x= 1.117725689 , -0.486795935...\)

Step-by-step explanation:

\(3^{2x}+1-4(3^{x})=-1\\\)

Let y=3^x

Rewrite in:

\(y^2+1-4y=-1\\y^2-4y=-2\\(y-2)^2=2\\y=2+\sqrt{2}, 2-\sqrt{2} \\y=3^{x}\\x=log(y)/log(3)\\x=\frac{log(2+\sqrt{2} )}{log(3)} , \frac{log(2-\sqrt{2}) }{log(3)} \\\\x= 1.117725689 , -0.486795935...\)

Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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Answer:

x

Step-by-step explanation:

\(g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x\)

If the interest rate is 5%, the monthly payment and total interest would be $2.439.

Interest is the sum of money that must be repaid on a loan or received in exchange for a loan. Principal refers to the borrowed or lent funds. The Amount is the total of the principal plus interest. The term "rate of interest" refers to the rate at which interest is applied to the principal.

Given,

A student receives a subsidized student loan for $10,000 with a 10-year repayment term and interest compounded monthly. Six months after she graduates from college, she will have to begin making payments.

A $10,000 subsidized student loan

Ten-year term of repayment

5.5% interest rate

First, we must determine the loan's future value (FV) over the next six months using the formula below:

FV in 6 months

= Loan Amount× (1 + Interest Rate)⁶ ($10,000×(1 + 0.055) ×6

= $2.7680.

Second, the formula for determining future value is used to determine the monthly payment:

M = FV in 6 months / (((((r)n) - 1) / r).......... (1)

When you enter all the pertinent values into equation (1), you get:

M = $2.7680 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)

M = $2.439

Therefore, if the interest rate is 5.5%, the total amount paid in interest plus monthly payments would be $2.439.

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Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D

The unit rate for the problems are;

a. 50pages/hour

b. 4points / game

c. 8 car washed /hour

d. 8 ounces of peanut/ dollar

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 100 yards in 10 seconds, you ran on average 10 yards in 1 second.

a. The unit rate = number of pages/ time

= 100/2 = 50pages/hour

b. The unit rate = number of points /number of games

= 20/5 = 4 points per game

c. The unit rate = number of car washed/ time

= 40/5 = 8car washed per hour

d. unit rate = number of ounces of peanut/ number of dollars

= 20/2.5 = 8 ounces of peanut per dollar

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Answer:

It means the point x = 5 and y = 10

Answer: The place 5 units right and 10 units up from the center of the graph (the origin).

Step-by-step explanation:

Starting at the origin, the 5 represents moving right 5, and the 10 represents going up 5.

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

x = 27/8

Step-by-step explanation:

x/9=9/24

Cross multiply.

9*9 = 24*x

81 = 24x

x = 81/24

x = 27/8

Answer:

solution,

\( \frac{x}{9} = \frac{9}{24} \\ or \: x \times 24 = 9 \times 9 \\ or \: 24x = 81 \\ or \: x = \frac{81}{24} \\ x = \frac{27}{8} \: or \: 3.375\)

Hope this helps..

Good luck on your assignment

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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Answer:

Step-by-step explanation:

im on the same one

sorry i couldent help

We need to find the system of inequalities modeled by the graph.

At first, we will find the equations of the lines:

The general equation of the line is : y = mx + b

where m is the slope and b is y - intercept

The equation of the red solid line:

the line passing through the points (-2 , 0) and (0,4)

The slope = rise/run = 4/2 = 2

b = y- intercept = 4

so, the equation of the line is : y = 2x + 4

As the shaded area on the left of the line, the inequality will be:

Now, finding the equation of the dash blue line:

The line passing through the points ( 4 , 0 ) , ( 0 , 4 )

The slope = rise/run = 4/-4 = -1

b = y- intercept = 4

so, the equation of the line is : y = -x + 4

So, the inequality will be:

So, the system of inequalities modeled by the graph is:

So, the answer is option A.

The quadrilaterals have the following congruent angles: ∠ A ≅ ∠ W, ∠ B ≅ ∠ X, ∠ C ≅ ∠ Y, ∠ D ≅ ∠ Z.

Herein we find the case of two similar quadrilaterals, that is, two quadrilaterals that have four pairs of congruent angles and four pairs of proportional sides.

Thus, by direct observation, we have the following conclusions on congruence of angles and proportionality of sides:

Angles

∠ A ≅ ∠ W

∠ B ≅ ∠ X

∠ C ≅ ∠ Y

∠ D ≅ ∠ Z

Sides

AB / XW = BC / XY = CD / YZ = AD / WZ

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Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is \(s = \frac{6}{\sqrt{n}}\) and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that \(\mu = 78, \sigma = 6\)

Samples of n:

This means that the standard deviation is:

\(s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}\)

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is \(s = \frac{6}{\sqrt{n}}\) and the shape is approximately normal.