Step by step: a pair of shoes is on sale for $96. If the shoes are on sale for 20% off, what was the original price?

Answer:

X= 1

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Step-by-step explanation:

Answer:

21=2w+2w+3    18=4w     w=4.5

If you are dealt 4 cards from a shuffled deck of 52 cards, the probability of getting two queens and two kings is:  0.000133.

Number of ways to get two of the four queens = 4C2 = 6 ways

Number of ways to get  two of the four kings =  4C2 = 6 ways

Number of ways to get none of the deck = 48C0 = 1 way

Hence,

Number of  ways to get four cards  = 6 x 6 x 1

Number of  ways to get four cards  =  36 ways

Number of ways 4 cards can be chosen from 52 cards = 52C4 = 270725 ways

So,

Probability = 36 ways / 270725 ways

Probability = 0.0001329

Probability = 0.000133 (Approximately)

Therefore the probability is 0.000133.

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Answer:

cup B can hold 21.2  cubic in more than cup A when theyre both full, so the answer is cup B.

Step-by-step explanation:

Each triangle can be classified by its angles and sides in the following ways :

The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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Answer:

h = 3   x = 1

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Any line in the form "x = k" where k is any number will be a vertical line, meaning it only has a x-intercept, and no y-intercept.

On the other hand, any line in the form "y = k" where k is any number will be a horizontal line, meaning it only has a y-intercept, and no x-intercept.

The simplified expression in mathematical form is -45.36.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The expression given is -

(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)

Simplifying the terms inside the parentheses first, we get -

(-15 + 7.74 / 6) × (9 - 5.7)

Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -

(-15 + 1.29) × (9 - 5.7)

We add -15 and 1.29 inside the first set of parentheses -

(-13.71) × (9 - 5.7)

We subtract 5.7 from 9 inside the second set of parentheses -

(-13.71) × 3.3

Multiplying these two terms, we get -

-45.363 ≈ -45.36

Therefore, the value is obtained as -45.36.

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Answer:

-the set of people with Social Security cards and the set of Social Security numbers

Explanation:

There's literally no relation between the height of a tree and the number of trees in a forest that can be clearly seen. Same goes to models and people in a certain town. Birthdays and Students in Class definitely have no correlation as isolated pieces of information. The number of people with social security numbers and the amount of numbers in a SS Card, though, have a direct relation, since the number has to be large so the amount of people that need such a number can have unique numeric representations of their Social Security.

Answer:

19 would be the naswer

Step-by-step explanation:

Answer:

x < -10

Explanation:

First, we need to write the sentence seven more than twice a number is less than negative thirteen as an algebraic form. So, we can represent each part of the sentence as:

Seven: 7

more: +

Twice a number: 2x

is less than: <

negative thirteen: -13

So, the inequality that represents the sentence is:

7 + 2x < -13

Now, we need to solve for x, so subtract 7 from both sides:

7 + 2x - 7 < -13 - 7

2x < -20

Divide both sides by 2:

2x/2 < -20/2

x < -10

Therefore, the numbers that make the statement true are the numbers that are less than - 10.

So, the answer is:

x < -10

Answer:

98 degrees

Step-by-step explanation:

Construct a line parallel to the 2 given lines that passes through the vertex of angle 1.

We get the part of angle 1 below this line is 180 - 144 = 36 by same side interior angles.

We get the part of angle 1 above this line is 62 degrees by alternate interior angles.

meaning the total measure of angle 1 is 62 + 36 = 98

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Answer: Its. C. Line BC is longer than line BD

Step-by-step explanation:

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer:

A is the answer x ≤-4 or x>7

Step-by-step explanation:

Answer:

The answer is A, because they both have answers for each one.

Answer:

Answer. Step-by-step explanation: The answer is 0.8 because if something is 10 x of something in decimal terms it would be the number after the decimal getting smaller.

You need 12 and it cost 50k

The equation that represents the balance of the loan, y, if he borrows the money for x years is presented as follows;

\(y = 5000\cdot e^{0.089\cdot t}\)

A continuous compounding interest involves finding the accrued interest and repeat reinvestment of the interest in which the number of periods is infinite.

The formula for the amount of a compound interest loan compound continuously is expressed as follows;

\(A(t) = P_0\cdot e^{r\cdot t}\)

Where;

P₀ = The principal amount = The amount loaned

r = The interest rate

t = The duration of the loan

The amount of loan Landis is taking, P₀ = $5,000

The interest rate compounded continuously, r = 8.9%

Where, y = The balance of the loan, and x = The number of years the loan is borrowed, we get;

P₀ = $5,000

r = 8.9% = 0.089

y = A(t)

x = t

Therefore; \(y = 5000\times e^{0.089 \times t}\)

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Answer:

C

Step-by-step explanation:

1/3

Answer:

1/7

Step-by-step explanation:

1 out of 2 chance of getting tails.

2 out of 7 chance of getting a T-day

1/2*2/7=1/7

Answer: sin\(\frac{a}{2}\) = ± \(\frac{1}{\sqrt{26} }\)

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ±\(\sqrt{(1-} \frac{cos2A}{2} )\)

As required,  set A = \(\frac{a}{2}\)   &   cos a=  \(\frac{12}{13}\)    ,thus we get

sin \(\frac{a}{2}\) =± \(\sqrt{\frac{1-cos a}{2} }\)  

∴ sin\(\frac{a}{2}\) =±\(\sqrt{\frac{1-\frac{12}{13} }{2} }\) = ± \(\frac{1}{\sqrt{26} }\)

   since ,360° < \(\frac{a}{2}\) <450°

             ,180° < \(\frac{a}{2}\) <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

By setting up the equation, we get the system of linear equations are

9x + 7y = 77

3x + 5y = 49

solving these equation Cost to rent a chair = $1.75

cost to rent a table = $8.75

A system of linear equations is a collection of one or more linear equations involving the same variables.

There are several methods for solving systems of linear equations, including:

Graphing: One way to solve a system of linear equations is to graph each equation on the same set of axes and look for the point of intersection. This method is useful when you want to visualize the solution, but it can be time-consuming if you have a large system of equations.

Substitution: The substitution method involves solving one of the equations for one of the variables and substituting this expression into the other equation. This will result in an equation with only one variable, which you can then solve.

Elimination: The elimination method involves adding or subtracting the equations in such a way that one of the variables is eliminated. This will result in an equation with only one variable, which you can then solve.

etc.

To solve the system of equations 9x + 7y = 77 and 3x + 5y = 49, you can use the substitution method.

First, solve the first equation for y:

9x + 7y = 77

7y = -9x + 77

y = (-9/7)x + 11

Now substitute this expression for y into the second equation:

3x + 5((-9/7)x + 5(11) = 49

3x - (45/7)x + 55 = 49

solving for x :

x = 1.75

Now substitute this value for x back into the first equation to find y:

y = 8.75

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The width of the coal tray is approximately 16.24 inches.

The width of the coal tray is determined as follows:

The given formula is P α 1/(1 + d²).

We can rewrite it as P = k/(1 + d²), where k is a constant of proportionality.

Since the problem states that the width of the coal tray is equal to d, we can assume that the width of the tray is equal to 1 (arbitrary units), without loss of generality.

So, we have P = k/(1 + d²) = k/(1 + (distance from food to coals / 1)²)

P = k/(1 + distance from food to coals²)

When the food is 16 inches above the tray, the distance from food to coals is d = 16/1 = 16.

When P = 0.53, we have:

0.53 = k/(1 + 16²)

k = 0.53(1 + 16²)

k ≈ 139.88

Now we can use the equation P = 0.53 = 139.88/(1 + d²) to solve for d:

0.53(1 + d²) = 139.88

1 + d² = 264.45

d² = 263.45

d ≈ 16.24

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The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

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