Translate the phrase into a variable expression. Use the letter d to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division.

the number of dollars Paul owes minus 18...
Answer here

Price of Tv at Store A = $ 94.5

Price of Tv at Store B = $ 95

Given that

Price of tv player = $ 100

Sales Tax = 5%

The price of tv at store A after 10% discount = 100 - 10% of 100

The price of tv at store A after 10% discount:

= 100 - 0.1x100

= 100 - 10 = $90

Price of tv at store A after sales tax = 90 + 5% of 90

= 90 + 0.05x90

= 90 + 4.5

= $94.5

Now, lets calculate price of of tv at store B.

The price of tv at store B= 100

Price of tv at store B after sales tax:

= 100 + 5% of 100

Price of tv at store B after sales tax = 100 + 0.05x100

= 100 + 5

= $105

Price of tv at store B $10 rebate

= 105 - 10

= $95

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Complete questions

John wants to buy a tv. The price is $100, and the sales tax is 5 percent. Store A is offering a 10 percent discount and Store B is offering a $10 rebate. What would John's total cost be at the two stores? Total cost at Store A = Total cost at Store B =

Answer:

No real

solution

Step-by-step explanation:

Firstly, let us check if we would be having a real solution

We start by rewriting the equation

We have this as;

8x^2 -25x + 24 = 0

We proceed to get the discriminant

Mathematically, we have this as;

D = b^2 - 4ac

b is the coefficient of x which is -25

a is the coefficient of x^2 which is 8

c is the last number which is 24

So we have;

D = (-25)^2 - 4(8)(24)

D = 625 - 768 = -143

Since the value of the discriminant is negative, there cannot be real roots

What we have as solution are complex roots

Answer:

16 cm3

Step-by-step explanation:

4 x 4 x 8 = 128

2 x 2 x 4 = 16

Answer:16 cm

Step-by-step explanation:

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

Step-by-step explanation:

2x - 1 = 11

2x = 11 + 1 = 12

x = 6.

Note that the the equation of the second line is y - 2 = (-1)(x - 0). The system of equations has no solutions, since the lines do not intersect.

One way to approach this problem is to find the slope of the line that passes through (0, -3) and (2, 0), which is:

slope = (0 - (-3))/(2 - 0) = 3/2

Then, we can use point-slope form to write the equation of this line:

y - (-3) = (3/2)(x - 0)

Simplifying, we get:

y = (3/2)x - 3

Now, we need to find a line that goes through (0, 2) and has a different slope than the first line. One way to do this is to choose a point that is not on the first line, say (1, 1), and use it to find the slope of the second line:

slope = (2 - 1)/(0 - 1) = -1

Then, we can use point-slope form again to write the equation of the second line:

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

Simplifying, we get:

y = -x + 2

Now, we have two equations:

y = (3/2)x - 3

y = -x + 2

We can solve for the point of intersection by setting these two equations equal to each other:

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

Simplifying and solving for x, we get:

x = 8/5

Substituting back into either equation, we get:

y = (3/2)(8/5) - 3 = -3/5

Therefore, the system of equations has no solutions, since the lines do not intersect.

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The probability is 0.4647.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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Answer:

\(\displaystyle 65°\)

Step-by-step explanation:

Angle b and 135° form a linear pair, so when summing them up to 180°, you will have 45° left over:

\(\displaystyle 180° = 135° + m∠b; 45° = m∠b\)

Now, by the Vertical Angles Theorem, angle a and 70°, in this case, are to be in congruence with each other, so you have that.

Now you must find the the measure of angle c sinse you have already found the measure of two angles already:

\(\displaystyle 180° = 45° + m∠c + 70° → 180° = 115° + m∠c; 65° = m∠c\)

I am joyous to assist you at any time.

Hey there!

The answer to your question is 65°.

To solve for m∠c, we first need to solve for m∠a and m∠b.

First, we will solve for m∠b:

We can see that ∠b is right next to the angle that measures 135°. Those two angles are supplementary angles, and form a linear pair. Therefore, their angle sum is 180°. (This is the linear pair postulate) So we can set up the following equation:

\(180=135+b\)

\(45=b\)

Therefore, m∠b = 45.

Now, we have to solve for m∠a. Using the vertical angles theorem, we know that if two lines intersect, the angles vertical of eachother are always equal. ∠a and the angle that measures 70° are vertical angles, and congruent. So:

\(a=70\)

Therefore, m∠a = 70°.

We also know that the angles inside of a triangle always add up to 180°. That means that \(b+a+c=180\). So we can set up the following equation:

\(45+70+c=180\\115+c=180\\c=65\)

Therefore, m∠c = 65°.

Have a terrificly amazing day!

Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

The minimum relative frequency of data greater than 80 but less than 140 is 0.9973 or approximately 99.73%.

To find the minimum relative frequency of data greater than 80 but less than 140, we need to use the z-score formula, which measures the number of standard deviations a data point is from the mean.

z = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

For x = 80:

z = (80 - 110) / 10 = -3

For x = 140;

z = (140 - 110) / 10 = 3

Using a standard normal distribution table or calculator, we can find that the area under the curve between z = -3 and z = 3 is approximately 0.9973.

Therefore, the minimum relative frequency of data greater than 80 but less than 140 is 0.9973 or approximately 99.73%.

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1/3 is the probability of rolling either a 5 or a 6 using a normal six-sided die.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event.

Given:

Six-sided dice rolled once

Let n be the number of outcomes

let x be the number of favorable outcomes

We know that,

\(Probability=\frac{x}{n}\)

When the six-sided dice roll, The possible outcomes are,

\(\{1,\;2,\;3,\;4,\;5,\;6\}\)

Therefore,

\(Number\;of\;outcomes,\;n=6\)

\(Probability\;rolling\;5\;is\;\frac{1}{6}\)

\(Probability\;rolling\;6\;is\;\frac{1}{6}\)

Therefore, Probability of rolling either 5 or 6 is,

\(P(5\;or\;6)=\frac{1}{6} +\frac{1}{6}\)

\(P(5\;or\;6)=\frac{2}{6}\)

\(P(5\;or\;6)=\frac{1}{3}\)

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Answer:

C. Sin 75,5 = y/12

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the height of the ladder, so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(75,5°)=12ft/y

The height y above the ground in feet is ; (C ) sin 75.5 = y / 12

The ladder, the horizontal ground and the vertical height above the ground form a right angle triangle are ;

The vertical height y = opposite

Length of ladder = hypotenuse

Horizontal ground  = adjacent.

According to trigonometry, sine of an angle is opposite/hypotenuse

sin 75.5 = y/12.

In conclusion, the height y above the ground in feet is sin 75.5 = y / 12.

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Answer:

Step-by-step explanation:

1. For there to be an infinite number of solutions, both sides of the equation need to have the same values.

  21x +14 = 21x +7a

That is, 7a must be 14. For a = 2, there are infinite solutions.

__

2. To find the value of b, we can substitute for a in the second equation using the value of a we find from the first equation:

  a = 6 -b . . . . . . . expression for a

  (6 -b) -b = 4 . . . . substituted into the second equation

  2 -2b = 0 . . . . . . subtract 4

  1 - b = 0 . . . . . . . divide by 2

  b = 1 . . . . . . . . . . add b

We want 2a +3b = 2(a+b) +b = 2(6) +1 = 13. The value of 2a +3b is 13.

The value of 1% of 200% is 1/50 or 0.02

A percentage is a way to express a number as a fraction of 100. It is often denoted using the symbol %. It can also be used to express a change in a value, such as a increase or decrease in percentage.

1% of 200% can be written as:

1% of 200% = (1/100) × (200/100)

1% of 200% = ( 1 × 200)/ (100 × 100)

1% of 200% = 200/10000

1% of 200% = 1/50 = 0.02

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The substitution method involves using the expression of one variable extracted from one equation into the other equation.

We have the equation

- 7 x - 14 = 7 y

which can be easily solved for "y" by dividing both sides by "7" :

- x - 2 = y

Then we can substitute the y variable in the second equation:

so we replace y with (- x - 2) in the other equation as shown below:

10 = - 10 x - 5 y

10 = - 10 x - 5 (- x - 2)

use distributive property to remove the parenthesis:

10 = - 10 x + 5 x + 10

10 = - 5 x + 10

subtract 10 from both sides to isolate the term in "x"

0 = - 5 x

divide bothe sides by "-5"

0 = x

Then x = 0, and we can use this value to solve for "y" in the substitution equation:

y = - x - 2

y = - (0) - 2

y = -2

Then the answer is:

x = 0 and y = - 2

Answer: Linear Equations, Quadratic Equations, Polynomial Equations, Inequalities, etc.

Step-by-step explanation: Determining the number of real solutions in a math problem depends on the specific problem and the type of equation or inequality involved. It's important to note that these methods cover only a few common scenarios, and the specific problem at hand may require other techniques or approaches

Answer:

a=0."3636"

b=repeating.(explanation down below)

Step-by-step explanation:

a)decimal

=16

44

=4

 11

=0."3636"

b) the decimal is repeating. the term terminating means having an end or to stop. the current decimal is repeating as it channels a continuous cycle 0.3636... hence concluding that it is repeating(or recurring)

Answer:

B. Yes

Step-by-step explanation:

The S&P 500 and XYZ Inc. have a positive linear relationship.

The covariance between two variables provides information about the relationship between them, but it does not clearly measure the strength or type of the relationship. A positive covariance means that the variables move in the same direction, while a negative covariance means that the variables move in opposite directions.

In this case, the covariance between the S&P 500 and XYZ Inc. is 6,317.50, which is a positive value. This suggests that there is a positive linear relationship between the two variables, meaning that as the S&P 500 increases, XYZ Inc. also tends to increase, and vice versa. However, to fully understand the relationship between the two variables, it is necessary to calculate other measures, such as the correlation coefficient, which provides a standardized measure of the power and direction of the relationship between two variables.

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Answer:6

Step-by-step explanation:

d=2r

The chi-square test results indicate that there is a significant difference in beverage preference between men and women (χ² = 4.83, p < 0.05). Therefore, we reject the null hypothesis that men and women do not differ in their beverage preference.

To test the null hypothesis that there is no difference in beverage preference between men and women, we can use the chi-square test. The observed frequencies are given in the table:

        Beverage

Gender   Coffee   Latte   Espresso

Women      16       24        14

Men          24        14        -

To perform the chi-square test, we calculate the expected frequencies assuming no difference in preference. The expected frequencies are determined based on the row and column totals. The chi-square test statistic is then calculated as the sum of the squared differences between observed and expected frequencies divided by the expected frequencies.

Using the chi-square test, we find a chi-square value of 4.83. Comparing this value to the critical chi-square value with the appropriate degrees of freedom and significance level, we find that the p-value is less than 0.05.

Therefore, we reject the null hypothesis and conclude that there is a significant difference in beverage preference between men and women.

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Complete question here:

A marketing company wants t0 know if women and men prefer different types of caffeinated beverages Using two-way chi-square, test the null hypothesis that men and women do not differ in their beverage preference_ Beverage Gen- der Cof- Latte Espresso fee Women 16 Men 24 14'

Russia is 7.12 × 10⁶ km² greater than Canada in area.

The table depicts the areas in land mass of seven largest countries in the word.

Therefore, the difference between the area of Russia and that of Canada can be calculated as follows:

Hence,

area of Russia = 1.71 × 10⁷ = 17100000

area of Canada = 9.98 × 10⁶ = 9980000

Therefore,

difference between the areas = 17100000 -  9980000

difference between the areas = 7120000

difference between the areas = 7.12 × 10⁶

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The probability of selecting a black marble followed by a red marble with replacement is option A: 4.7%.

Based on the question, for one to calculate the probability of selecting a black marble followed by a red marble, we need to look at the two independent events which are:

So, the probability of selecting a black marble on the first draw is:

2 black marbles out of a total of 16 marbles (6 red + 3 yellow + 2 black + 5 pink)

= 2/16 approximately 1/8.

Based on the fact that the marble is replaced, the probabilities for each draw will have to remain the same.

So, the probability of selecting a red marble on the second draw =  6 red marbles out of a total of 16 marbles

= 6/16

= 3/8.

To know the probability of both events occurring, we need to multiply the sole probabilities:

P(black marble and then red marble) = P(black marble) x  P(red marble)

= (1/8) x (3/8)

= 3/64

So one can Convert the probability to a percentage, and it will be:

P(black marble and then red marble) = 0.047

                                                               = 4.7%

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see text below

A bag contains 6 red, 3 yellow, 2 black, and 5 pink marbles. What is the probability of selecting a black marble followed by a red marble? The first one is replaced.

4.7%

12.5%

78.3%

75%

Answer:

mints are 75 cents per lb

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Let's make two equations from the question:

\(3x+2y=10.8\\x+3y=5.35\)

If we graph these equations we see that the intersection of these equations are (3.1, 0.75), so the correct answer is A, it costs 75 cents.

1. No

2. Yes

3. Yes

The ordered pairs (0,15), and (-3,33) are solutions to the given linear equation.

What is an ordered pair?

A pair that combines the x and y coordinates and has two values expressed in a specific order inside parenthesis is known as an ordered pair.

If a given ordered pair satisfies a given equation then the ordered pair is a solution to the equation.

now, the given equation is,

\(y=-6x+15\)

⇒ \(6x+y=15\)

now, we need to check each of the given ordered pairs if it satisfies the above equation.

1. (10,75) :

LHS \(=6(10)+75\)

\(=135\neq 15\) (LHS ≠ RHS)

the ordered pair (10,75) does not satisfy the given equation.

2. (0,15) :

LHS \(=6(0)+15\)

\(=15=15\) (LHS = RHS)

the ordered pair (0,15) satisfies the given equation.

3. (-3,33) :

LHS \(=6(-3)+33\)

\(=15=15\) (LHS = RHS)

the ordered pair (-3, 33) satisfy the given equation.

The ordered pairs (0,15), and (-3,33) are solutions to the given linear equation, and (10,75) is not a solution.

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Answer:

Next she should;

C. Add 6·x + 3·y = -24 to 6·x - 2·y = -4

Step-by-step explanation:

To show that given a a system of two equations in (having) two unknowns, when one of the equations is replaced by the sum the equation being replaced and the multiple of the other equation gives a system with the same solution as the previous system, we proceed as follows;

The given system of equations are;

6·x - 2·y = -4

2·x + y = -8

Gabriela multiplies the second equation by 3, to get;

3 × (2·x + y) = 3 ×-8 = -24

6·x + 3·y = -24

She should add the equation above to the first equation to get;

Add 6·x + 3·y = -24 to 6·x - 2·y = -4

(6·x + 3·y) + (6·x - 2·y) = -24 + -4

12·x + y = -24

The new system becomes;

12·x + y = -28

2·x + y = -8

Subtracting the second equation from the first equation in the new system gives;

12·x + y - (2·x + y) = -28 - (-8) = -28 + 8 = -20

10·x + y - y = 10·x + 0 = -20

x = -20/10 = -2

From the second equation, we get;

y = -8 - 2·x = -8 - 2×(-2) = -4

y = -4

We verify if the solution is the same as the first system as follows;

6·x - 2·y = -4

2·x + y = -8

Therefore

6·(-2) - 2·(-4) = -4 (Correct)

2·(-2) + (-4) = -8 (Correct)

Therefore, the next step is to add 6·x + 3·y = -24 to 6·x - 2·y = -4

Answer:

c

Step-by-step explanation:

Answer:

I think it's 3+(-4)

Hope this helps