Simplify the expression.

6x + 12y + 5 + 2y +8

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

Answer:

Below

Step-by-step explanation:

8,8,6,9,8,3,12,9,3,12,5,0,4,8,5,11,5,8. Answers are in order from the first to the last

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The statement is true because :

Both these triangles are Congruent to each under the ASA congruence postulate . We say this because :

1) The two angles in both the triangles which are each other's corresponding part are equal ( 40° = 40° and 50° =50° )

2) There is one common side which is 12 . As both of the common sides are equal , these triangles are said to be congruent to each other .

The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; Only toy chest A will provide the necessary storage space

Possible question options obtained from a similar question found online are;

Either toy chest have the storage space needed

Neither has the storage space needed

Only toy chest A

Only toy chest B

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Answer:

zy^5

Step-by-step explanation:

Answer:

c. x= 28°, y= 76°

Step-by-step explanation:

y= 180-104=76°

104= x+y (property of triangle, exterior angles is equal to the sum of opposite interior angles)

x=104-76= 28°

Answer:

Step-by-step explanation:

Prepare closing entireties for the concert hall bond fund

The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

Answer:

  about 1.1%

Step-by-step explanation:

Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.

The ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:

  moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%

The volume of the moon is about 1.1% of the volume of the planet.

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Step-by-step explanation:

a.) 2 chocolate bars cost 4.90. They want 1, which is half. That also means we should divide the 4.90 in half.

4.90/2 = 2.45

b.) Since he spent 4.90 on bars and 3.30 on a magazine, we add those two to get a total.

4.90 + 3.30 = 8.20

c.) He had 12.90. He spent 8.20. Subtracting will show how much he has left.

12.90 - 8.20 = 4.70

d.) Since 1 bar costs 2.45 (part a.). Multiplying 1 bar by 7 gets you 7. We do the same to the price.

2.45 x 7 = 17.15

Step-by-step explanation:

a. cost of one chocolate bar=?

cost of two chocolate bars= 4.90

To find the cost of one bar= 4.90/2

=2.45

therefore the cost of one bar= £2.45

B. total amount spent= 4.90+3.30

=8.2

therefore Simon spent £8.2 in total.

C. money left= total amount- total amount spent

=12.90-8.2

=4.7

therefore simon has £4.7 left.

D. 1 chocolate bar=2.45

7 chocolate bars=?

=2.45×7

=17.5

therefore melissa spent £17.15

Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

Perimeter meaning: the continuous line forming the boundary of a closed geometric figure.

side length: 15

perimeter: 368

===================================================

Work Shown:

a = first term = 3

d = common difference = 6

S(n) = sum of the first n terms of an arithmetic sequence

S(n) = (n/2)*(2a + d(n-1))

S(34) = (34/2)*(2*3 + 6(34-1))

S(34) = 3468

--------

Check:

3+9+15+21+27+33+39+45+51+57+63+69+75+81+87+93+99+105+111+117+123+129+135+141+147+153+159+165+171+177+183+189+195+201 = 3468

I used GeoGebra to generate the 34 terms shown above. You could do so by hand (start at 3; add 6 to each term to get the next one), but it's a tedious busywork type of problem in my opinion. It's best left to computer software.

Answer:

4.13x+2

Step-by-step explanation:

11x+5+2x-3

13x+5-3

13x+2

Answer:

4 .13x+2

hope you understand

pls take it positively

and I hope you will not do this for next test

Answer:

4x  +  1   -  2/x  +  6/(20x³ - 15x² -15x+16)

Step-by-step explanation:

                4x  +  1   -  2/x  +  6/(20x³ - 15x² -15x+16)

             ________________

5x ²-5x | 20x³ - 15x² -15x+16

1            -(20x³ - 20x²)                      ==> -15x²-(-20x²)= -15x²+20x² = 5x²

                         5x² - 15x

2                       -(5x² - 5x)                 ==> -15x-(-5x)= -15x+5x = -10x

                                 -10x+16

3                                -(10x+10)

                                           6           ==> 16-10 = 6           

1: At step 1, (4x) * (5x²-5x) = (20x³ - 20x²)

2: At step 2, 1 * (5x² - 5x) = 5x² - 5x

3: At step 3, (2/x) * (5x² - 5x) = 10x+10

To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

The 98% confidence interval for the true mean statistics anxiety score μ is approximately (39.023, 39.777).

To calculate the 98% confidence interval for the true mean statistics anxiety score μ, we can use the formula:

\(\[\text{CI} = \bar{X} \pm Z \cdot \left(\frac{\sigma}{\sqrt{n}}\right)\]\)

where \(\bar{X}\) is the sample mean (39.4), Z is the Z-score corresponding to the desired confidence level (in this case, 98% corresponds to a Z-score of 2.33), σ is the population standard deviation (0.9), and n is the sample size (33).

Plugging in the values, we get:

CI = 39.4 ± 2.33 * (0.9/√33).

Calculating this expression, we find:

CI = 39.4 ± 2.33 * (0.162),

CI ≈ 39.4 ± 0.377.

Therefore, the 98% confidence interval for the true mean statistics anxiety score μ is approximately (39.023, 39.777).

This means that we are 98% confident that the true average statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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Answer:

Less

Step-by-step explanation:

Interpreting this, total is 40, so if you are splitting that with multiple people, it can't be more than 40.

Answer:

Step-by-step explanation:

distance flown in 5.4 hours = 245.6 miles

distance flown in 1 hour = 245.6/5.4

= 45.481 miles

Hope this helps

plz mark as brainliest!!!!!

Answer: 49.12 miles

Step-by-step explanation:

You have to divide 245.6 by 5.4

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   \(x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }\)

There is 1 solution.

Question 16

Again, we search x such that:

  \(x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }\)There are two solutions.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

Answer:

sin Φ/(sin Φ + cos Φ) = 12/17

Step-by-step explanation:

sin Φ = 12/13

then sin Φ + cos Φ = 12/13 + 5/13

= 17/13

So , sin Φ/(sin Φ + cos Φ) = 12/13 ÷ 17/13

= 12/13 × 13/17

= 12/17

Step-by-step explanation:

Well, this includes subtraction.

11-1 1/2=11-3/2=22/2-3/2=19/2

So it was 19/2 Inches longer

The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12

From the question, we have the following parameters that can be used in our computation:

Angle = -320

The reference angle is caculated as

Reference = 360 + Angle

So, we have

Reference = 360 - 320

Evaluate

Reference = 40

For the other angle, we have

θ = 19π/12

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 19π/12

Evaluate the difference

Reference angle = 5π/12

Hence, the reference angle is 5π/12

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The transformation that produces the given image with vertices are:

(x, y) → (−x, y), (x, y) → (x + 1, y + 1)

The coordinates of the triangle before transformation are expressed as:

B(−3, 0), C(2, −1), D(−1, 2)

Now, we are told that the coordinates after transformation are: B″(1, −2), C″(0, 3), D″(3, 0).

This means the initial coordinates underwent two transformations.

Looking critically at the coordinates before and after transformation, we can confirm that the transformation are as follows:

1) (x, y) → (−x, y)

2) (x, y) → (x + 1, y + 1)

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Answer:

3) 1/2 = 6/12

6) 2/3 = 4/6

9) 4/6 = 8/12

12) 3/4 = 9/12

15) 4/4 = 9/9

18) 6/9 = 4/6

Step-by-step explanation:

Divide the smaller of the denominators into the larger denominator. This give you a number to multiply by the known numerator to obtain the missing numerator.

Examples:

3)  1/2 = ?/12,   12÷2 = 6,  6 ×1 = 6, so  1/2 = 6/12

4) 2/3 = ?/6,     6÷3 = 2,   2×2 = 4,  so 2/3 = 4/6

etc.

etc.

etc.