Which is another way to make 2,800?

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{2 \: \frac{7}{15} }}}}[/tex]

Step-by-step explanation:

[tex] \tt{5 \frac{4}{5} - 3 \frac{1}{3} }[/tex]

Convert the mixed number into improper fraction

[tex] \tt{↦ \: \frac{5 \times 5 + 4}{5} - \frac{3 \times 3 + 1}{3} }[/tex]

[tex] \tt{↦ \: \frac{25 + 4}{5} - \frac{9 + 1}{3}} [/tex]

[tex] \tt{ ↦ \: \frac{29}{5} - \frac{10}{3} }[/tex]

While performing the addition or subtraction of unlike fractions , you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction. Now,

Take the L.C.M of 5 and 3

prime factors of 5 = 1 × 5

prime factors of 3 = 1 × 3

L.C.M = Common factors × Remaining factors

= 1 × 5 × 3

= 15

[tex] \tt{↦ \frac{29 \times (15 \div 5)}{15} - \frac{10 \times (15 \div 3)}{15} }[/tex]

[tex] \tt{↦ \: \frac{29 \times 3}{15} - \frac{10 \times \: 3 }{15} }[/tex]

[tex] \tt{↦ \: \frac{87}{15} - \frac{30}{15}} [/tex]

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.

[tex] \tt{ ↦ \: \frac{87 - 30}{15} }[/tex]

[tex] \tt{↦ \: \frac{37}{15} }[/tex]

Convert the improper fraction into mixed fraction.

[tex] \tt{↦ \boxed{ \tt{ 2 \frac{7}{15} }}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

The volume of the solid V = 41601.6 π

Step-by-step explanation:

From the given information:

The volume of the shaded region bounded by rotating the shaded region about the y-axis is: dV

[tex]dV = \pi (-1x^2 +3x+18)^2 ((x+dx)^2 -(x)^2)[/tex]

[tex]dV =2 \pi x (-1x^2 +3x+18)^2 \ . dx[/tex]

[tex]dV =2 \pi x (-1x^2 +3x+18) ( -1x^2 +3x + 18). dx[/tex]

[tex]dV =2 \pi x (1x^4 -3x^3 -18x^2 -3x^3 +9x^2 +54x -18x^2 +54x + 324 ) \ .dx[/tex]

[tex]dV =2 \pi x (1x^4 -3x^3-3x^3 -18x^2 +9x^2 -18x^2 +54x +54x +324) \ .dx[/tex]

[tex]dV =2 \pi x (1x^4 -6x^3 -27x^2 +9x^2+ 108x +324) \ .dx[/tex]

[tex]\implies \int ^V_o \ dv = 2 \pi \int ^6_0 (1x^5 -6x^4 -27x^3+108x^2 +324x) \ dx[/tex]

[tex]V = 2 \pi \begin {bmatrix} \dfrac{1x^6}{6} - \dfrac{6x^6}{5} - \dfrac{27x^4}{4}+ \dfrac{108x^3}{3}+ \dfrac{324x^2}{2} \end {bmatrix}^6_0[/tex]

[tex]V = 2 \pi \begin {bmatrix} \dfrac{1(6)^6}{6} - \dfrac{6(6)^6}{5} - \dfrac{27(6)^4}{4}+ \dfrac{108(6)^3}{3}+ \dfrac{324(6)^2}{2} -0\end {bmatrix}[/tex]

V = 2π (20800.8)

V = 41601.6 π

Answer:

C

Step-by-step explanation:

I hope this helps!!!!

The best estimate of the fraction 29/40 would be; 0.7

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the decimal that best best estimate of the fraction 29/40

A negative divided by a negative is positive, then;

29/40 = 0.72

Therefore, The best estimate of the fraction 29/40 would be; 0.7

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Answer:

11 feet

hope this helps

Tom will need to offer additional collateral of C. $2,437.50 to borrow enough for his planned vacation.

Collateral refers to a valued property or financial security offered by the borrower to the lender to guarantee repayment of a loan.

Lenders sell collaterals when the borrowers fail to comply with their loan terms.

Car's value = $3,500

Collateral value in percentage = 80%

Car's collateral value = $2,800 ($3,500 x 80%)

Planned cost of vacation = $4,750

Additional cost to meet vacation cost = $1,950 ($4,750 - $2,800)

Additional collateral value to meet target = $2,437.50 ($1,950/80%)

Total collateral that Tom needs to offer = $5,937.50 ($3,500 + $2,437.50)

80% of $5,937.50 = $4,750

Another way is to work with the planned cost and the collateral percentage offered by Tom's bank:

Planned cost of vacation = $4,750

Collateral value in percentage = 80%

Total collateral to be offered by Tom = $5,937.50 ($4,750/80%)

Car's collateral value = $3,500

Additional collateral value = $2,437.50 ($5,937.50 - $3,500)

Thus, Tom needs additional collateral of C. $2,437.50.

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Answer:

order of operations, right?, divide

Step-by-step explanation:

sorry if this is wrong :)

Answer:

0.403 π rad

or

1.265 rad

Hope this helps! I used both variations just to be safe but it seems you only need the one with Pi in it.

Answer:

A, Between 9 and 10 am

Step-by-step explanation:

The math is simple. between 9 and 10 theres 1 hour, and between 28 and 67 there are 39 P(t).

Between 10 and 15 there are 5 hours, and between 67 and 212 there are 145 P(t), which divided by 5 is 29.

You divide by 5 to get the same amount of hours to compare both

9-10 am= 39

10-15am/pm= 29

Therefore, the number of people increased faster between 9 and 10 am.

The rate of increase of population is faster between t = 9 to t = 10.

The ratio of two numbers a and b can be written as a : b = a/b.

The ratio of two quantities is the unit rate of one quantity with respect to the other.

The table for the population and time can be formed as follows,

Population                               Time in hours

28                                                 9

67                                                 10

212                                                15

Now, the increase in population can be obtained by taking the ratios as follows,

Increase in population between t = 9 to t = 10 is given as,

(67 - 28) ÷ (10 - 9)

⇒ 39

And, between t = 10 to t = 15, it is given as,

(212 - 67) ÷ (15 - 10)

⇒ 145 ÷ 5 = 29

Thus, the rate of increase is more from  t = 9 to t = 10.

Hence, the faster increase is given in time interval of  t = 9 to t = 10.

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Answer: Rachael Ray.

Step-by-step explanation: Have a blessed day hopefully this helped!

Answer:

m= 68 degrees

a=  68 degrees

p= 68 degrees

q= 112 degrees

r= 68 degrees

Step-by-step explanation:

Hope this helps, if so mark me brainliest???

Answer:

24?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

kinetic energy is possessed

Answer:

[tex]49x^2-7^2=49(x-1)(x+1)[/tex]

Step-by-step explanation:

Factoring

We need to recall this property of binomials:

[tex](a-b)(a+b)= a^2-b^2[/tex]

It allows us to factor the difference between two squares as follows.

[tex]a^2-b^2=(a-b)(a+b)[/tex]

The given expression is

[tex]49x^2-7^2[/tex]

Comparing with the above expression:

[tex]a^2=49x^2[/tex]

Taking square root:

[tex]a = 7x[/tex]

[tex]b^2=7^2[/tex]

Taking square root:

b=7

Factoring:

[tex]49x^2-7^2=(7x-7)(7x+7)[/tex]

Now we can see each factor can be taken out the common factor 7:

[tex]49x^2-7^2=7(x-1)*7(x+1)[/tex]

Multiplying:

[tex]\boxed{49x^2-7^2=49(x-1)(x+1)}[/tex]

Answer:

2 laps in 120 seconds is correct

Answer: The greatest common factor of the two is 5.

Step-by-step explanation:

The greatest common factor is something that can be seen between the two as relation.

Answer:

8 weeks

Step-by-step explanation:

1. Write out the equation

12+6x=60

2. Subtract 12 from both sides

6x = 48

isolate the variable (divide 6 on both sides)

x= 8

Answer:

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

Step-by-step explanation:

Given that:

Height of woman between age 20 -29 are approximately normal with:

population mean = 64.3 inches &;

standard deviation = 2.7

For men:

population mean = 69.9 inches

Standard deviation = 3.1 inches

In a lay term; The z-score gives us information concerning how many percentages of data lie between the given data interval. The z-score gives us an overview of the distance from the mean a data point is. In addition to that, it measures the degree of standard deviations below or above the population mean a raw score. We can place a z-score on a normal distribution curve.

Answer:

y=4x+30

Step-by-step explanation:

y is distance, x is time

Answer:

19

Step-by-step explanation:

im jumping off a bridge

Answer:

the answer in 19

Step-by-step explanation:

use Ur brain

Answer:

77

Step-by-step explanation:

28 PLEASE GIVE BRAINLIEST

Answer:

The value is [tex]C = 85\%[/tex]

Step-by-step explanation:

From the question we are told that

  The standard deviation is  [tex]\sigma = 21.73[/tex]

  The sample size is  n  =  14

  The mean score is  [tex]\= x = 74.57[/tex]

  The confidence interval is  65.7425 to 83.3975

Generally the degree of freedom is mathematically represented as

      [tex]df = n -1[/tex]

=>  [tex]df = 14 -1[/tex]

=>  [tex]df = 13[/tex]

Generally the margin of error is mathematically evaluated as

     [tex]E = \frac{83.3975 -65.7425 }{2}[/tex]

=> [tex]E = 8.828[/tex]

Generally this margin of error is mathematically represented as

     [tex]E = t_{\frac{\alpha }{2} , df} * \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]8.828 = t_{\frac{\alpha }{2} , df} * \frac{21.73 }{\sqrt{14} }[/tex]

=>   [tex]t_{\frac{\alpha }{2} , df} = 1.520[/tex]

From the t distribution table the probability of   [tex]( t> 1.520 )[/tex]  at a degree of freedom of 13  is  

     [tex]\frac{\alpha }{2} = P( t > 1.52 ) = 0.076[/tex]

=>  [tex]\alpha = 2 * 0.076[/tex]

=>  [tex]\alpha = 1.52[/tex]

So the confidence level is evaluated as  

     [tex]C = 1- \alpha[/tex]

=>  [tex]C = 1- 0.152[/tex]

=>  [tex]C = 0.85[/tex]

Converting to percentage

=>  [tex]C = 0.85 * 100[/tex]

=>  [tex]C = 85\%[/tex]

Answer:

By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7+8+9=24.

8 is the second integer and 8*3=24.

Answer:

StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout

Step-by-step explanation:

Given that:

Cost per cleaner = $280

The cost of x vacuum cleaners will be :

Cost per cleaner * number of cleaners

$280 * x

= $280x

The general vertex firm equation :

y-k = a(x-h)^2

Vertex = (500, 24000) ; Vertex = (h, k)

h = 500 ; k =24000 y= 11000, x = 0

y intercept = 11000

Plugging the values :

11000 - 24000 = a(0 - 500)^2

- 13000 = a(-500)^2

-13000 = a * 250000

a = - 13000 / 250000

a = - 0.052

Hence,

y - 24000 = a(0 - 500)^2

y = - 0.052(0 - 500)^2 + 24000

Answer:

A on edge

Step-by-step explanation:

i took the test