How many degrees are there in 5/8 of a circle

Answer:

Since we are talking annual interest and, I assume a time period of 1 year:

The interest earned is the sum of the interest earned on the two loans separately

Let x = amount loaned at 14%

18,500-x = amount loaned at 12%

I = prt

p = x and 18500-x

r = 0.14 and 0.12

t = 1

2390 = 0.14x + 0.1(18500-x)

2390 = .14x + 1850 - 0.1x

x = 13500

x = $13,500 loaned at 14%

18500-x = $5,000 loaned at 12%

Answer:

$8,500 was loaned at 14%, and

$10,000 was loaned at 12%.

Step-by-step explanation:

Total loan: $18,500.

Part at 14%

Part at 12%

Let the part at 14% = x.

Let the part at 12% = y.

Equation of amount of loan:

x + y = 18500

x amount at 14% earns 14% of x = 0.14x interest.

y amount at 12% earns 12% of y = 0.12y interest.

Equation of interest charged:

0.14x + 0.12y = 2390

We have a system of equations.

x + y = 18500

0.14x + 0.12y = 2390

Multiply both sides of the first equation by -0.12. Write the second equation below it, and add the equations.

     -0.12x - 0.12y = -2220

(+)    0.14x + 0.12x = 2390

-------------------------------------

      0.02x             = 170

x = 170/0.02

x = 8500

x + y = 18,500

8500 + y = 18,500

y = 10,000

Answer:

$8,500 was loaned at 14%, and

$10,000 was loaned at 12%.

Answer:

B 22;2 c 55:5 E 110:10

Step-by-step explanation:

multiplying is key  

Answer:

B,C,E

Step-by-step explanation:

divide each of them and if the result is equal to 11 so it is equivalent to 11:1

Answer:

Probability of getting a green ball is more than that of getting a white ball.

Step-by-step explanation:

There are in all (5+3= 8) outcomes of the experiment. There are 5 outcomes in favour of the event of getting a green ball as there are 5 identical green balls in the bag.

Therefore, P(a green ball) = 5/8

In the same way,P(a white ball) = 3/8

Thus, clearly the probability of getting a green ball is more than that of getting a white ball.

X   Y
3    1.333
4    10.667
5    12
6    13.333
8    48

The answer for your 1st question is length = 7.65m and width is 4.575 m

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

As the equation you already mentioned

4w=2L+3

LxW=35

so, 4(35/l)=2L+3​

Now, we have to find length

4(35/L) = 2L+3​

140 = (2L +3) * L

140 = 2L² + 3L

2L² + 3L - 140 = 0

As we get quadratic equation so we solve this by quadratic formula

x = (-b ± √b² - 4ac) / 2a

we have the equation is,

2L² + 3L - 140 = 0

where a = 2 , b = 3, c = -140

put these values in quadratic formula

L = (-3 ± √3² - 4*2*-140) / 2*2

  = (-3 ± √9 - 4*2*(-140) ) / 4

  = (-3 ± √9 + 1120 ) / 4

  = (-3 ± √1129 ) / 4

L = (-3 ± 33.6) / 4

Split the values,

L = (-3 ± 33.6) / 4    and    L = (-3 - 33.6) / 4

L = 7.65                   and    L = -9.15  ( -ve value is not possible)

So, the length is 7.65 m and width is

W * L = 35

W * 7.65 = 35

W = 4.575 m

Hence, the length is 7.65 m and width is 4.575 m

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Answer:

8

Step-by-step explanation:

Recall the formula for the population mean of a data set:

\(\mu=\frac{\sum x}{N}\)

We already know that μ is 6 and the sum is 48. Substitute:

\(6=\frac{48}{N}\)

Divide both sides by 48:

\(\frac{1}{8}=\frac{1}{N}\)

Reciprocal of both sides:

\(N=8\)

Thus, there are 8 scores in the population size.

And we're done!

Answer:

8

Step-by-step explanation:

mean=(total)/(number of terms )

number of terms=total/mean=∑x/μ=48/6=8

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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The equation of circles that have a diameter of 12 units and a center that lies on the y-axis is  (x + 6)² + y² = 144

The equation of a circle with center (h, k) and radius r is given by

(x - h)² + (y - k)² = r²

To determine which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis, we must have that

for the circle to lie on the y - axis, k = 0 and r² = 144

So, comparing the equations that meet this criteria, we have

(x + 6)² + y² = 144

We cannot select the circle  (x – 4)² + y² = 36. Although it lies on the y - axis, its radius is not equal to 12.

So, the circle is (x + 6)² + y² = 144

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Answer:

2/6 equals 0.3333333333333 and many more threes

Step-by-step explanation:

Answer:

blank A =13

blank B=15

Step-by-step explanation:

12-25=13

9-24=15

A. The graph of the absolute value function is V-shaped, with the features given as follows:

B. The transformation is that the function was shifted right two units, hence the features are given as follows:

The absolute value function, with vertex (h,k), is defined as follows:

y = |x - h| + k.

The features of the function are given as follows:

For the first item, the function is |x + 3|, hence we just have to identify the features.

For the second function, the definition if h(x) = |x - 2|, with vertex at (2,0), meaning that the function was shifted two units right from the parent absolute value function y = |x|. The shift just changes the turning point of the graph, not altering domain and range.

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Answer:

See attached images.

Step-by-step explanation:

The minimum of the data set is 12.

Maximum is 36.

Median is 24.

First quartile Q1 = 18

Third quartile Q3 = 31

Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

The score that can be added to the given data set 3, 3, 6, 10, 14, 15, 17  in order for the new median to be 12 is 12.

To establish the score that must be added to the supplied data set to get the new median 12, we must first determine the present median.

When the data set is sorted in order, the median is the middle value. In this situation, the data set can be sorted in the following order:

3, 3, 6, 10, 14, 15, 17

The fourth value is 10, which is the intermediate value. As a result, the current median is 10.

To raise the median to 12, we must include a new number in the data set that is larger than or equal to 10 and less than or equal to 14, as these are the values that surround the present median.

With a median of 12, the new data set would be:

3, 3, 6, 10, 12, 14, 15, 17

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Answer: 14 ounces

Step-by-step explanation:

         To find the mean, we add up all the values and divide by the number of values.

\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)

Answer:

Step-by-step explanation:

Gloss content is same at the input and output.

Let 30% gloss is x gallons, then 15% gloss is (3.75 - x) gallons.

We have the following equation:

Amount of 15% gloss:

30% gloss is 1.25 gallons and 15% gloss is 2.5 gallons

Answer:

4.666666667

or

4 2/3

Step-by-step explanation:

we know side AB is like DE and side BC is like side EF so i use ratios to compare the 2

6/4=7/x

cross multiply

6x=4(7)

6x=28

/6. /6

x=4.66666666666666 or 4 2/3

hopes this helps

Since the coop is in square shape The fencing is in the shape of a square

So equation is 4x=20, x=5

Answers:

There's not much to explain other than what is provided by your teacher. It just comes down to pretty much memorizing the terms. The more you get familiar with hockey (ie the more games you watch), then you'll have a better grasp of the sport.

Answer:

No, Franco's calculation is incorrect.

Step-by-step explanation:

No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.

When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.

To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:

Copy code

9.37

x 0.1

0.937

Therefore, the correct answer is 0.937, not 93.7 as Franco stated.

Answer:

No. This is incorrect.

Step-by-step explanation:

9.37 × 1 = 9.37

Times by 1 the number stays the same.

If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.

9.37 × 10 = 93.7

9.37 × 0.1 = 0.937

Answer:

40 mph

Step-by-step explanation:

140 / 3.5 = 40

he traveled 40 miles per hour

Check

40 x 3.5 = 120 + 20 = 140

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

4n

Answer:

10

Step-by-step explanation:

10 times 10 equals 100

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

The compound interest after 7 years is $2701.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

When the amount compounds quarterly, it means that the amount compounds 4 times in a year. i.e., n = 4. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:

A = P (1 + r/12)\(.^{n/12}\)

A = 2100(1+3.6/12)\(.^{7/12}\)

A=2701

Hence the compound interest after 7 years will be $2701.

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If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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Option • 12 is the answer .The number of treatments in the experiment is 12.

The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.

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To find the amount of the down payment, we need to multiply the cost of the home by the down payment percentage: $90,000 * 8.8% = $7,920.

This means that the total amount that will need to be borrowed from the bank is $90,000 - $7,920 = $82,080.

The mortgage amount will be $82,080. This is the amount that will need to be borrowed from the bank after the down payment of $7,920 is paid. The down payment is calculated by multiplying the cost of the home by the required down payment percentage: $90,000 * 8.8% = $7,920. The mortgage amount is then calculated by subtracting the down payment from the cost of the home: $90,000 - $7,920 = $82,080.