Simplest form of 7/10 and 2/10

Answer:

$7.02

Step-by-step explanation:

So we know that one foot of rope costs $0.65, and we are trying to fin the cost of 10.8 feet of rope. To find the cost of 10.8 feet of rope, we would multiply the length of the rope (in feet) and multiply it by the cost of one foot of rope. The length of the rope is already given to us in feet, so now we just need to multiply it by the cost per foot ($0.65).

$0.65 × 10.8 = ($0.65 × 10) + ($0.65 × 0.8) = $6.5 + $0.52 = $7.02

The cost of 10.8 feet of rope would be $7.02.

I hope this helps. :)

The required, 10.8 feet of rope costs $7.02.

Arithmetic is a constituent of mathematics that deals with the study of numbers, their properties, and their operations, it involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.

To find the cost of 10.8 feet of rope at $0.65 per foot, we can multiply the length of the rope by the cost per foot:

Cost of 10.8 feet of rope = 10.8 feet x $0.65/foot

                                        = $7.02

Therefore, 10.8 feet of rope costs $7.02.

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Answer:

45:1

Step-by-step explanation:

Answer: 2.5 minutes per call

Step-by-step explanation:

This is a fraction equal to

50 minutes ÷ 20 calls

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 20

50 minutes ÷ 20

20 calls ÷ 20 =  2.5 minutes/ 1 call

The unit rate is 2.5 minutes per call

To find the unit rate of making phone calls, we divide the total number of minutes by the total number of calls. This gives us the average number of minutes spent on each call.

We have 50 minutes and 20 calls. Dividing these gives us the unit rate:

Unit Rate = Total Minutes ∕ Total Calls

Unit Rate = 50 minutes ∕ 20 calls = 2.5 minutes per call

Therefore, the unit rate is 2.5 minutes per call, indicating on average, each call lasts for 2.5 minutes.

Answer:

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

[tex]\:a\:\times \:b\:\times \:\pi[/tex]

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

Thus

The area of the ellipse:

                                     Area = [tex]\:a\:\times \:b\:\times \:\pi[/tex]

                                              [tex]=\:12.5\:\times\:2\:\times\:\pi[/tex]

                                              [tex]=25\pi[/tex]

                                               [tex]=78.5[/tex] inches     ∵ [tex]\pi =3.14[/tex]

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Answer:

PLEASE CHECK THE ATTACHMENT.

HOPE U UNDERSTOOD

THANKS

Solution:

The formula for compound interest, including principal sum, is:

[tex]A = p( 1 + \frac{r}{n})^{nt}[/tex]

Where,

A = the future value of the investment/loan

P = the principal investment amount

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 2000

[tex]r = 5.1 \% = \frac{5.1}{100} = 0.051[/tex]

t = 6 years

n = 2 (  compounded semiannually)

Substituting the values we get,

[tex]A = 2000( 1 + \frac{0.051}{2})^{ 2 \times 6}\\\\A = 2000( 1 + 0.0255)^{12}\\\\\A = 2000(1.0255)^{12}\\\\A = 2000 \times 1.35278\\\\A = 2705.5649[/tex]

Thus the total amount after 6 years is $ 2705.5649

Final answer:

Using the compound interest with an initial investment of $2000 at a 5.1% interest rate compounded semiannually, the total amount after 6 years is calculated to be $2710.34.

Explanation:

To calculate the total amount after 6 years when $2000 is invested at a rate of 5.1% compounded semiannually, we use the formula for compound interest, which is [tex]A = P(1 + r/n)^(nt).[/tex] Here, A represents the future value of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time the money is invested for in years.

We can plug the values into the formula:

P = $2000 (the initial investment)

r = 0.051 (5.1% interest rate expressed as a decimal)

n = 2 (since the interest is compounded semiannually)

t = 6 (the investment period in years)

Therefore, we calculate A using the following expression:

[tex]A = 2000(1 + 0.051/2)^(2*6)[/tex]

[tex]A = 2000(1 + 0.0255)^(12)[/tex]

[tex]A = 2000(1.0255)^12[/tex]

After calculating the above expression without rounding intermediate computations and rounding the final answer to the nearest cent, the total amount comes out to be:

A = $2710.34

Thus, the total amount after 6 years, with a 5.1% interest rate compounded semiannually, is $2710.34.

Answer:

4

Step-by-step explanation:

Answer: 27 times bigger.

Step-by-step explanation:

You need to use the following formula to find the volume of a Square pyramid:

[tex]V=\frac{1}{3}s^2h[/tex]

Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.

Knowing that:

[tex]s_A=12\ in\\\\h_A=8\ in\\\\\\s_B=36\ in\\\\h_B=24\ in[/tex]

You can find the volume of the Pyramid A and the volume of the Pyramid B:

[tex]V_A=\frac{1}{3}(12\ in)^2(8\ in)\\\\V_A=384\ in^3\\\\\\V_B=\frac{1}{3}(36\ in)^2(24\ in)\\\\V_B=10,368\ in^3[/tex]

Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.

You get:

[tex]\frac{10,368\ in^3}{384\ in^3}=27[/tex]

Answer:

5140 and 3140

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

d = 140 - 40 = 240 - 140 = 340 - 240 = 100

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 40 and d = 100, thus

[tex]a_{52}[/tex] = 40 + (51 × 100) = 40 + 5100 = 5140

[tex]a_{32}[/tex] = 40 + (31 × 100) = 40 + 3100 = 3140

Answer:

55 is probably the fixed fee that the delivery company charges before anything.

Answer:

The companies daily fee

Step-by-step explanation:

P = pay

D = deliveries

55 = the daily fee the company deducts for the use of their truck

Pay = deliveries - company deduction

Answer:

4

Step-by-step explanation:

The degree of any variable is its power/exponent/index/indices

Answer:

1 yard, 12 inches, 108 inches.

Step-by-step explanation:

there are 3 feet in a yard, 12 inches in a foot and because 12 times 3 (one yard) is equal to 36, then three yards are equal to 108 inches.

Answer:

no numbers are missing

Step-by-step explanation:

Don't fool others

Answer:

The equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                           [tex]y=-\frac{8}{5}x-3[/tex]

Step-by-step explanation:

Given

Point-Slope Form equation is

[tex]\left(y-y_1\right)=m\left(x-x_1\right)[/tex]

[tex]\left(y-5\right)=\frac{-8}{5}\left(x-\left(-5\right)\right)[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]y-5=\frac{-8}{5}\left(x+5\right)[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]y-5=-\frac{8}{5}\left(x+5\right)[/tex]

[tex]y-5+5=-\frac{8}{5}\left(x+5\right)+5[/tex]

[tex]y=-\frac{8}{5}x-3[/tex]

Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

                                           [tex]y=-\frac{8}{5}x-3[/tex]

Answer:

The dot plot of flip times increased gradually between 1, 2 and 3. The dot plot grew sharply from 3 to 4 and then 6.

Step-by-step explanation:

There are only 5 probabilities. It took Martin 1,2,3,4 and 6 flips to land a tail up. That 1,2,3 times of flips to land a tail up happened once. 4 times of flips to land a tail up happened 8 times. The greatest number of flips took to land tails up was 6 but the question didn't give details how many times it happens.

Answer:

the answer is A just took a quiz.

Step-by-step explanation:

123,000 x 42.50 = 5227500

5227500-575,000=4652500

your profit is 4652500

Hope this helps

Check the picture below.

Answer:

It’s A

Step-by-step explanation:

Right on edge

The missing choices are here

A. 23 m, 17 m, 14 m

B. 11 m, 11 m, 12 m

C. 5 m, 7 m, 8 m

D. 21 m, 6 m, 10 m

Answer:

21 m, 6 m, 10 m cannot be the length of the sides of a triangle ⇒ D

Step-by-step explanation:

There is a fact to form a triangle:

The sum of the lengths of the two smaller sides must be greater than the length of the third side

A.

∵ The smallest sides are 14 m and 17 m

∵ Their sum = 14 + 17 = 31 m

∵ The third side is 23 m

∵ 31 > 23

∴ 23 m, 17 m, 14 m can be the length of the sides of a triangle

B.

∵ The smallest sides are 11 m and 11 m

∵ Their sum = 11 + 11 = 22 m

∵ The third side is 12 m

∵ 22 > 12

∴ 11 m, 11 m, 12 m can be the length of the sides of a triangle

C.

∵ The smallest sides are 5 m and 7 m

∵ Their sum = 5 + 7 = 12 m

∵ The third side is 8 m

∵ 12 > 8

∴ 5 m, 7 m, 8 m can be the length of the sides of a triangle

D.

∵ The smallest sides are 6 m and 10 m

∵ Their sum = 6 + 10 = 16 m

∵ The third side is 21 m

∵ 16 < 21

∴ 21 m, 6 m, 10 m cannot be the length of the sides of a triangle

Answer:

H.28

Step-by-step explanation:

x : y = 3 : 4

=> 4x=3y   => x=3y/4 -----(1)

(x+y)-9=40

=>x+y=49

using (1)

3y/4 +y= 49

y=28

substituting y in (1)

x=21

hence 28 is greater.

Answer:4/21

Step-by-step explanation:divide 6 by both sides

The equivalent fraction of 24/126 is 4/21.

To find an equivalent fraction, one can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 24 and 126 is 6.

Dividing both the numerator and the denominator by 6, we get:

[tex]\[ \frac{24 \div 6}{126 \div 6} = \frac{4}{21} \][/tex]

Therefore, the fraction 4/21 is equivalent to 24/126.

For least to greatest, -1/2, -1/3, 1/2, 1/3

For greatest to least, 1/3, 1/2, -1/3, -1/2

The negative numbers will be less then the positive ones

Answer:

110 pages

Step-by-step explanation:

Day 1 =x

Day 2 =2x

Day 3 =x-6

(x)+(2x)+(x-6)=458

Add likes together.

4x-6=458

4x=464.  Divide both sides by 4 to get x. X=116

Day 3=116-6=110

Answer:

Josie will earn $13.75  and her brother Sean will earn $16.25

Step-by-step explanation:

Given that For every $5.50 that Josie earns, her brother earns $6.50.

Tuesday, they earned $30.00

Using the ratio and the proportional

Josie : Sean : Total

 5.5  :   6.5   :  12

   x    :     y     :  30

So, x = 5.5 * 30/12 = 13.75

And y = 6.5 *30/12 = 16.25

So, Josie will earn $13.75  and her brother Sean will earn $16.25

Answer:B

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

i did the test and got it right

Answer:

Hi there!

The correct answer to this question is: x=3

Step-by-step explanation:

because these two triangles are similar, that means the hypotenuse are similar. which means you can set the sides equal to each other like this:

13 = 4x + 1   minus one on both sides and you should get 4x = 12 and then divide 4 on both sides and you should finally get x = 3

To create an arithmetic sequence using the given functions, we add the functions together and substitute the desired term. The 31st term of the arithmetic sequence is -49.

To combine the functions f(n) = 11 and g(n) = -2(n - 1) into an arithmetic sequence, we need to find the common difference between the terms. The common difference between the terms in an arithmetic sequence is obtained by subtracting one term from the previous term. In this case, the common difference is g(n). So, the arithmetic sequence can be expressed as an = f(n) + g(n).

For the 31st term, we substitute n = 31 into the equation and calculate:

a31 = f(31) + g(31)

a31 = 11 + [-2(31 - 1)]

a31 = 11 + [-2(30)]

a31 = 11 + [-60]

a31 = -49

Therefore, the 31st term of the arithmetic sequence an is -49.

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Answer: (10,5)

Step-by-step explanation:

add 6 do the x value

then add 1 to the y value

Liquid measure refers to the units used for measuring the volume of liquids such as liters, milliliters, etc. It's closely tied to the concept of volume, which is the amount of space that an object, liquid or solid, occupies.

Liquid measure is defined as B. Units used to measure the volume of liquids, such as water, gasoline, and milk. This concept is related to the broader idea of volume, which is the measure of the amount of space occupied by an object, regardless of its state of matter. Let's say we want to measure the volume of water we're pouring into a jug. The volume units we would use (liters, milliliters, etc.) are examples of a liquid measure. Similarly, if we are filling a car's gas tank, the liters or gallons dispensed would be a liquid measure too.

Another example is milk that is sold in containers of varying volumes, from small cartons to large gallons. Each of these volumes is a measure of liquid. So, when we talk of liquid measure, we're looking at how much space a certain quantity of liquid occupies which is generally determined in liters, milliliters or sometimes cubic meter (m³).

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