Every jump a game piece makes measures 8/9 . The piece starts at point A = 7 and jumps to the right. As soon as the piece jumps over B = 24, it switches direction and jumps to the left. The piece then stops at point A. How many jumps did the game piece take?

Answer

3h=87 or h=87/3

Step-by-step explanation:

Answer:

Let's see...

Step-by-step explanation:

I hope this helps!

- sincerelynini

Answer:

39

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

X=21

Step-by-step explanation:

(7)+ (4x+56) - (5x+3)=45

7+4x+56-5x+3=45 add similar numbers

56+7+3=66

4x-5x= -x

-x+66=45

    -66   -66

-x=-21

divide by - and x=21

Answer:

35.1785714286

Step-by-step explanation:

To find the mean you have to add all numbers. After you have added all numbers, you must divide the sum by the number of how many points you have.

Answer:

35.18

Step-by-step explanation:

Given the above scores .

Mean

= sum of scores/ number of scores

37.5 + 25.5 + 30.5 +41.5 +52.5 + 28.25 + 30.5 /7

246.25/7

35.18

Answer:

123.9125

Step-by-step explanation:

The total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches. The correct answer is option C.

Lakeview gets 21.55 inches of rain per year on average.

To find the total amount of rainfall in Lakeview in 5.75 years, we can multiply the average yearly rainfall by the number of years.

Average yearly rainfall: 21.55 inches

Total rainfall in 5.75 years: 21.55 inches/year * 5.75 years

Calculating the result:

= 21.55 x 5.75

≈ 123.9125

Therefore, the total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches.

The correct answer is option C.

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Answer:

part A) [tex]f=2.75p[/tex]

par B) [tex]38.5\ cups\ of\ flour[/tex]

Step-by-step explanation:

Part A)

Let

p ----> the number of pounds of cake

f ----> the number of cups of flour

we know that

A relationship between two variables, p, and f, represent a proportional variation if it can be expressed in the form [tex]k=\frac{f}{p}[/tex] or [tex]f=kp[/tex]

Find the value of k

For p=3, f=8.25 ----> [tex]k=\frac{8.25}{3}=2.75[/tex]

therefore

The linear equation is

[tex]f=2.75p[/tex]

Part B) we have

For p=14

substitute in the equation and solve for f

[tex]f=2.75(14)=38.5\ cups[/tex]

Answer:

convert 1 7/8 to an improper fraction.

1 times 8 is 8 plus 7 is 15.

1 7/8 = 15/8

15/8=30/16

30/16 divided by 5/16 is 6.

six 5/16 are in 1 7/8

The total length of wall is 160 inches

Solution:

Given that,

[tex]Length\ of\ each\ brick = \frac{2}{3}\ foot[/tex]

1 feet = 12 inches

Therefore,

[tex]Length\ of\ each\ brick = \frac{2}{3} \times 12\ inches = 8\ inches[/tex]

There are 20 bricks lined up end to end to make the wall

To find: Total length of wall in inches

[tex]Total\ length\ of\ wall = \text{length of each brick } \times \text{ total number of bricks}[/tex]

Thus we get,

[tex]Total\ length\ of\ wall = 8 \times 20\\\\Total\ length\ of\ wall = 160\ inches[/tex]

Thus total length of wall is 160 inches

Answer:

Exact form:

22/13

Decimal form:

1.692307

Answer:a

Step-by-step explanation:Because four divide by three is one point and thirty three

Final answer:

To find a factor that when multiplied with 7/10 results in a greater number, the factor must be greater than 1. The only option greater than 1 is 4/3. Therefore, the correct answer is A. 4/3.

Explanation:

The question is asking to find a factor that when multiplied with 7/10, results in a product that is greater than 7/10. To have a resulting product greater than 7/10, the other factor must be greater than 1, as multiplying by a number greater than 1 increases the value of the original number. Let's evaluate the options:

Therefore, the correct answer is A. 4/3, since it is the only option greater than 1 and will result in a product greater than 7/10 when multiplied together.

Answer:

-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-0)/(0-(-1))

m=-1/(0+1)

m=-1/1

m=-1

Answer:

yes

Step-by-step explanation

the common difference is -30

Final answer:

The sequence -38, -68, -98, -128,... is an arithmetic sequence because the common difference between consecutive terms is consistent, which is -30.

Explanation:

The student has asked whether the sequence -38, -68, -98, -128,... is arithmetic. To determine if a sequence is arithmetic, we need to check if the difference between any two consecutive terms (also known as the common difference) is the same.

Let's calculate the difference between the first two terms:

-68 - (-38) = -68 + 38 = -30

Now, let's calculate the difference between the second and the third terms:

-98 - (-68) = -98 + 68 = -30

Similarly, the difference between the third and the fourth terms is:

-128 - (-98) = -128 + 98 = -30

Since the common difference is the same (-30) for all consecutive terms mentioned, the sequence is indeed an arithmetic sequence.

Answer:

a. -1

Step-by-step explanation:

Simply the equation: 3x+x+8=4

1st step: 4x+8=4

2nd step: 4x=4-8

3rd step: x=[tex]\frac{-4}{4}[/tex]

4th step: x= -1

Answer:

The answer to this question is 1,495 ft

Step-by-step explanation:

Hope this helps

Answer:

B.

Step-by-step explanation:

B. <b and <A are complementary - remember that complementary angles means that the 2 angles will add up to 90 degrees, and in this case, they add up to 180 degrees.

Question:

The image of the question is attached below.

Answer:

Volume of the bench = 528 cubic inches

Solution:

Side of the cube = 4 inch

Volume of a cube = side × side × side

                              = 4 inch × 4 inch × 4 inch

Volume of a cube = 64 cubic inches

Volume of 2 cubes = 2 × 64 cubic inches

Volume of 2 cubes = 128 cubic inches

Length of the prism = 25 inch

Breadth of the prism = 4 inch

Height of the prism = 8 – 4 = 4 inch

Volume of the rectangular prism = length × breadth × height

                                                       = 25 inch × 4 inch × 4 inch

Volume of the rectangular prism = 400 cubic inches

Volume of the bench = volume of 2 cube + volume of the rectangular prism

                                    = 128 cubic inches + 400 cubic inches

Volume of the bench = 528 cubic inches

Hence volume of the bench is 528 cubic inches.

Answer:528

Step-by-step explanation:

Answer:

1x + 0.5y = $150

Step-by-step explanation:

x = hot dog and each hot dog is sold for $1. We will multiply each hot dog  sold by $1.

y = soda and each soda is sold for $0.50. We will multiply each soda sold by $0.50.

Answer:

The per hour income of Siobhan is $9.31 per hour.

Step-by-step explanation:

Working in a grocery store James makes $7.00 per hour. Priya's hourly income is 40% more than James, and Siobhan's  hourly income is 5% less than Priya.

Therefore, using formula of percentage, the per hour income of Priya will be

[tex]7.00(1 + \frac{40}{100}) = 7 \times 1.4 = 9.8[/tex] dollars per hour.

Again, the per hour income of Siobhan is [tex]9.8(1 - \frac{5}{100}) = 9.8 \times 0.95 = 9.31[/tex] dollars per hour. (Answer)

Answer:

  300

Step-by-step explanation:

The first (and last) digit can be any of {2, 4, 6}. The 2nd and 3rd digits can be any from 00 to 99. The 4th digit is the same as the 2nd, and the 5th digit is the same as the first.

There are 3·10·10 = 300 possible even palindromes in the given range.

Answer:

300

Step-by-step explanation:

:):

Answer:

63 and 72

Step-by-step explanation:

Sum the parts of the ratio, 7 + 8 = 15 parts

Divide the sum by 15 to find the value of one part of the ratio

135 ÷ 15 = 9 ← value of 1 part of the ratio, thus

7 parts = 7 × 9 = 63

8 parts = 8 × 9 = 72

The numbers are 63 and 72

To calculate the number of payments for Kendra's loan using a TVM Solver, the correct setup includes an APR of 8.4% converted to a monthly rate of 0.7%, with matching payment and compounding frequencies, making Option A the accurate choice.

When Kendra takes out a loan to buy a stereo, calculating the number of payments she will have to make involves understanding the terms used in Time Value of Money (TVM) calculations. The correct set of values must account for the annual percentage rate (APR) being compounded monthly, which requires converting the APR to a monthly rate, and ensuring the payment and compounding periods match.

For Kendra's loan:

Given these conditions, the only option that correctly configures all elements for a TVM Solver is Option A:

N=; I% = 0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

This configuration accurately reflects the loan's terms, allowing the calculation of the number of payments (N) Kendra will need to make.

The correct answer is: D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END. Option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate). Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D).

To calculate the number of payments Kendra will have to make to pay off the loan, we can use the Time Value of Money (TVM) Solver feature of a graphing calculator. We need to set up the values correctly to solve for the number of payments (N).

Let's go through the options:

A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

Let's analyze each option:

A. This option has the correct annual interest rate (8.4%), correct present value (loan amount), correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.

B. This option has the interest rate incorrectly set as 0.7%. It should be 8.4%, not 0.7%. Hence, it's incorrect.

C. Similar to option B, this option has the interest rate incorrectly set as 0.7%. Hence, it's incorrect.

D. This option has the correct interest rate (8.4%), correct present value, correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.

So, options A and D are potential correct options. Both have the correct interest rate and payment amount. The difference lies in how the interest rate is represented: option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate).

Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D). Therefore, option D is the most suitable choice.

Complete Question:

Kendra took out a loan for $750 at an 8.4% APR, compounded monthly, to buy a stereo. If she will make monthly payments of $46.50 to pay off the loan, which of these groups of values plugged into the TVM Solver of a graphing to make?

A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END

D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END

Answer:

HCF of 112 and 46 = 2

Step-by-step explanation:

HCF/GCD/GCF all mean the same. They are the highest common factor of two or more numbers.

Step 1: First you extract all the 'Prime' factors of each number.

The ladders on the image show that you are dividing each number with the smallest prime number. You keep doing it till you reach 1 .

Step 2: Then you write the factors of each.

Step 3: You choose the common factors.

Step 4: Multiply the common factors (if any) and then you have your answer.

Answer:

HCF: 2

LCM: 2576

Step-by-step explanation:

Prime factorizations:

112 = 2×2×2×2×7

46 = 2×23

HCF: 2 (only common factor)

LCM: 2×2×2×2×7×23 = 2576

The paper would be 112589991 km thick if folded 50 times.

Step-by-step explanation:

Step 1; The sheet is [tex]\frac{1}{10}[/tex]mm thick which equals 0.1 mm. Every time it is folded it doubles in thickness. So if folded once it becomes 0.2 mm thick, if folded thrice it becomes 0.4mm thick.

Thickness if folded once = [tex]2^{1}[/tex] × 0.1 mm

thickness if folded twice = [tex]2^{2}[/tex]× 0.1 mm

Thickness if folded thrice = [tex]2^{3}[/tex] × 0.1 mm.

So if the paper is folded nth fold it would be [tex]2^{n}[/tex] × 0.1 mm thick.

Step 2; Using the above formula, if the paper is folded 50 times the thickness would be equal to [tex]2^{50}[/tex] × 0.1 mm = 112,589,990,684,262.4‬ mm.

1 km is equivalent to [tex]10^{6}[/tex]mm so 112,589,990,684,262.4‬‬ mm = 112,589,990.6842624‬‬ km which is rounded off to 112589991 km.

Answer:

          1 7/8

Step-by-step explanation:

15/8= 15/1 * 1/8

     15/8

Simplify that and you get 1 7/8.

     Hope it helps!

Answer:

1 7/8

Step-by-step explanation:

Length of wire= 15foot

Cut into 8 equal pieces

Length of each piece = 15/8

1 7/8 foot each

Answer:

Yes

Step-by-step explanation:

Answer:

Yes, 2,509 is less than 2,590

Step-by-step explanation:

When comparing 2509 to 2590, you first look at the first number on the left. In our case it is 2, then you look at the second number, which is 5, then you look at the third number which is 0 and 9, since the 9 is bigger that makes 2590 bigger than 2509, or 2509 less than 2590

Hope this helps ;)

Answer:

Step-by-step explanation:

Considering the given expressions

As we know that

Now, considering the expression

Here, the first term (monomial) i.e. [tex]7x^4\:[/tex] has the highest exponent of the variable. Here, the highest exponent is 4.

As the degree of the polynomial is said to be the highest degree of any of the terms.

Therefore, the degree of  [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex]  is 4.

The polynomial  [tex]7x^4\:+\:5x^2\:+\:x\:-\:9[/tex] can also be called a quadrinomial as it has four terms.

Also considering the second expression

This expression is not a polynomial.

For an expression to be a polynomial, it must must have to carry

Therefore, the expression [tex]7x^6\:-\:4x^3\:+\:1/x[/tex] is not a polynomial as the term      [tex]\frac{1}{x}[/tex] is not a polynomial as the the variable x is in the denominator.

Keywords: degree, monomial, polynomial, expression

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Answer:

10.3773584906

Step-by-step explanation:

Answer:

$9.5 is the cost of 1 month.

Step-by-step explanation:

the total yearly cost = 12 months = $114

Cost of per month = 1 month = $114 / 12 = $9.5

Answer:

5x^2 - 13x + 3 + x - 3

5x^2 - 12x