Tom buys a UNC jersey with a 20% discount coupon.
Which response accurately calculates his new cost C
with respect to the original costs x?
a. C=x-0.20
B. C = 0.80x
C. C = 1.20x
d. C = x-0.80

Answer:

x= -63

Step-by-step explanation:

12-x-12=75-12

-x=63

Divide both sides by 1

x=-63

Answer: x=3

Step-by-step explanation:

3(x+6)-10=17

3x+18-10=17

3x+8=17

3x=17-8

3x=9

x=3

The algebraic equation with multiplication sign is 3 × ( b × c ) = 2 × d

The mathematical symbol used to represent the multiplication process and its subsequent product is the multiplication sign, sometimes referred to as the times sign or the dimension sign. The form is actually a four-fold rotationally symmetric saltire while looking identical to a lowercase X (x).

To show that you can identify implied multiplication, we can rewrite this algebraic equation using the times symbol wherever multiplication is implied as follows,

3(bc) = 2d

3 × ( b × c ) = 2 × d

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EXPLANATION:

To find the slope we must use the following formula:

Now we must locate at the points given in the exercise which correspond to x and which correspond to y

Points: (5, 4) (11, 10)

x1 y1 x2 y2

Now we must replace the points correctly in the formula;

Answer:

The series is convergent and: ∞∑n=12nn!=e2−1. Explanation: The ratio test states that a sufficient condition for a series: ∞∑n=0an.

Step-by-step explanation:

hope i helped

9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the triangle proportionally.

The base segment to the right of the bisector is 6-x, so we can write the proportion ...

  x/6 = (6-x)/4

Multiplying by 12, we get ...

  2x = 3(6 -x)

  5x = 18 . . . . . add 3x

  x = 18/5 . . . .  divide by 5

  x = 3.6

_____

Alternate solution

Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:

  left-part / sum-of-both-parts = x/6 = 6/(6+4)

Then the solution is x = 6(6/10) = 36/10 = 3.6.

Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."

Answer:

12

Step-by-step explanation:

I think that’s what u saying

Answer:

12

Step-by-step explanation:

10+2=12

Answer:

75% (Letter grade = C)

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

We need to find out what your grade is.

Since we know that you got 15 out of 20 points we need to find the Greatest Common Factor of these two numbers.

1.  \(5\left \{ {{15 / 5} \atop {20 / 5 }} \right}} = \frac{3}{4}\)

Now we need to turn this fraction into a decimal.

In order to do that we need to divide our 3 by our 4.

2.  \(\frac{3}{4} = .75\)

Finally, we need to turn this decimal into a percentage.

In order to do this we must multiply our decimal by 100.

3.  .75 * 100 = 75%

Feel free to give brainliest.

Have a great day!

Answer:

1. $264.52 is the remaining 68%

2. Sales tax is $19.83

3. The total price is 283.83

Explanation:

1. 389 times 0.68 will get you an answer of $264.52

2. 264.52 times 0.075 is $19.83

3. Add your two answers of $264.52 and $19.83 and you'll get your answer of $283.83

Hi! I'm happy to help!

When Jenna bought the milk, it deducted (subtracted) $3.58 from her $20. So, let's subtract that here:

20.00

- 3.58

We have to borrow:

19.9(10)

- 3.58

10-8=2

19.9(10)

- 3.58

    .  2

9-5=4

19.9(10)

- 3.58

    .42

9-3=6

19.9(10)

- 3.58

    6.42

and 1-0=1

19.9(10)

- 3.58

$16.42

So, Jenna would receive $16.42 in change for her $20 bill.

I hope this was helpful, keep learning!

The price of the house is $29900

At first you paid 20% of that price, to calculate how much the down payment was you have to do as follows:

The down payment was $59800 and there are $299000-$59800=$239200 left to pay.

From this $239200 you have to calculate the interest rate:

$239200*0.0425= $10166 → this represents the total interest rate you'll pay

This is a 30 year loan, which means you'll pay

30*12=360

for 360 months

Divide the principal payment $239200 by 360 to calculate the monthly fee:

Do the same with the total interest rate:

Monthly you'll pay $664.44 plus $28.24 of interest, that adds up for a total of $692.68

See the link in comments (or if it gets deleted, look up "partial derangement"). The number of ways in which exactly \(k\) items from a pool of \(n\) items can be rearranged such that only these \(k\) items are in their original positions is

\(R(n,k) = \dbinom nk \, !(n-k)\)

where \(!(n-k)\) is the so-called sub-factorial that satisfies the relation

\(!n = \left\lfloor \dfrac{n!+1}e \right\rfloor\)

and \(\lfloor x \rfloor\) denotes the floor or greatest integer function of \(x\), i.e. the greatest integer smaller than or equal to \(x\).

There are 25! ways of handing back exams with no extra constraint.

There are \(R(25,23)\) ways of handing back 23 exams to their original owners and 2 exams otherwise, and

\(R(25,23) = \dbinom{25}{23} \, !(25-23) = 300\left\lfloor\dfrac{2!+1}e\right\rfloor = 300\)

Then the probability of returning 23 exams correctly and 2 exams swapped is

\(\dfrac{300}{25!} \approx \boxed{5.17\times10^{-22}}\)

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

24

Step-by-step explanation:

The length is 4, the width is 2, and the height is 3.

\(V=lwh=(2)(3)(4)=24\)

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

2\(\sqrt{22}\)

Step-by-step explanation:

Use pythagorus's theorem:

a²=b²+c²

13²=9²+x²

169=81+x²

x²=88

x=\(\sqrt{88}\)

x=\(\sqrt{22*4}\)

x=\(\sqrt{22} \sqrt{4}\)

x=2\(\sqrt{22}\)

Answer:

What the girl said

Step-by-step explanation:

\(\huge\textsf{Hey there!}\)

\(\mathsf{67 + x = 90^\circ}\)

\(\mathsf{x+ 67 = 90^\circ}\)

\(\large\textsf{SUBTRACT 67 to BOTH SIDES}\)

\(\mathsf{x + 67 - 67 = 90^\circ - 67}\)

\(\large\textsf{SIMPLIFY IT!}\)

\(\mathsf{x = 90 - 67}\)

\(\mathsf{x = 23}\)

\(\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{x = 23}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

Answer: 559.60$ before tax

              593.176$ or 593.18$

Step-by-step explanation:

Answer:

$46.63

Step-by-step explanation:

A dozen (12) computer disks costs $69.95

8 is two thirds of a dozen, and so 8 computer disks will cost two thirds of the price.

69.95 * \(\frac{2}{3}\) = $46.63 (rounded to nearest cent)

Therefore the price of 8 disks is $46.63

(a) The change in the tram's elevation (speed) each second is 3 meters/Sec

(b) The total change in temperature of the substance was 160 Celsius.

(a) The tram moves downward 21 meters in 7 second. So, the speed of the tram is 21/7 = 3 meters/Sec, which is the tram’s elevation each second.

We know that, speed = (total distance travel)/(Total travelling time)

(b) The substance was heated by 4 Celsius each hour for 40hours.

Therefore, the total change in temperature is = (4x40) = 160 celcius.

The degree Celsius is the unit of temperature on the Celsius scale, originally known as centigrade scale

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Answer:

(a) The change in the tram's elevation (speed) each second is 3 meters/Sec

(b) The total change in temperature of the substance was 160 Celsius.

Step-by-step explanation:

(a) -3,-11,-19, -27, -35,-43, -51, -59, -67, -75.

(b) -9,-18,-36,-72,-144,-288,-576,-1152,-2304,-4608.

(c) 2, 6, 12, 20, 30, 42, 56, 72, 90, 110.

In the provided sequence, we will find the difference between two consecutive integers.

The difference between the second and first numbers is 622=4.

The difference between the third and second numbers is 126=6.

The difference between the fourth and third numbers is =2012=8.

We can see that the difference between two consecutive integers starts at 4 and grows by 2 each time.

As a result, the supplied sequence is created by adding the difference between a number and the preceding number, as well as 2 to the number.

Using the rule, we can determine the following three words.

The difference between the fifth and fourth numbers is =8+2=10.

As a result, the fifth number of the series equals the fourth number of the sequence plus ten.

As a result, we get the fifth number from the series =20+10=30

The difference between the sixth and fifth numbers is 10+2=12.

As a result, the sixth number of the series equals the fifth number of the sequence plus twelve.

As a result, we receive the sixth number as the sequence's sixth number =30+12=42.

The difference between the seventh and sixth numbers is 12+2=14.

As a result, we get the sequence's seventh number = the sequence's sixth number + 14

As a result, we receive the seventh number as the sequence's seventh number =42+14=56.

As a result, the following three terms in the specified sequence are 30, 42, and 56.

The sequence is changed to 2, 6, 12, 20, 30, 42, 56.

The word 'prime numbers' was used in the answer. The numbers are known as prime numbers. It has just two variables, 1 and the number itself. For instance, 2 is the sum of 2 and 1. As a result, the components of 2 are 2 and 1. As a result, 2 is a prime number.

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The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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