Kyle missed 3 questions on the math exam. If he missed 15% of the questions, how many questions were on the exam all together?

15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.

To find the number of candy bars needed to bring the average cost down to $0.80, we can use the formula for average:

(sum of costs)/(number of candy bars).

Let's denote the number of candy bars needed as x. We know that the sum of costs for the group of ten candy bars is 10 * $0.89 = $8.90.

To bring the average down to $0.80, the sum of costs for the x candy bars must be (10 * $0.89 + x * $0.72).

Now we can set up the equation:

(10 * $0.89 + x * $0.72)/(10 + x) = $0.80.

Simplifying this equation, we get:

8.9 + 0.72x = 0.8(10 + x).

Solving for x, we find that x = 15.

Therefore, 15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.

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complete question:

A group of ten candy bars has an average cost of $0.89 per candy bar. How many bars must be bought at the cost of $0.72 a piece to bring the average down to $0.80?

Answer:

25°

Step-by-step explanation:

We know the measure of a straight line is 180° . And therefore the measure of the given two co linear angles would be 180° . So ,

\(\implies \rm 5x-5+2x +10=180\\ \)

\(\implies \rm 7x +5 =180\\ \)

\(\implies \rm 7x = 180-5 = 175\\ \)

\(\implies \rm x =\frac{175}{7}= 25^o\)

And we are done

Answer:

x = 7/21 = 1/3

Step-by-step explanation:

try more examples

Answer:

\(1078\)

Step-by-step explanation:

\(9800 \times \frac{11}{100} = 1078\)

hope this helps

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good luck! have a nice day!

Answer:

Step-by-step explanation:

The one that doesn't work with the other three is B. Nine cubed is huge compared to just plain 9 or 3^2. The other three each are equal to one another especially if you remove the brackets in D.

9 c^(2*3) * d^(3*3)

9 c^6 d^9

The total number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars is: 166,320 ways.

To calculate the number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars, we need to use the combination formula.

The number of tank cars, boxcars, and flatcars in the train yard are given as follows:

4 tank cars 12 boxcars 7 flat cars

We need to choose 2 tank cars out of 4, 5 boxcars out of 12, and 3 flatcars out of 7.

The combination formula is given by:

nCr = n! / r! * (n - r)!

where n is the total number of objects,

r is the number of objects being chosen at a time,

and ! represents the factorial of a number.

Substituting the values in the formula:

2 tank cars out of 4:

n1 = 4C2 = 4! / 2! * (4 - 2)! = 6 ways 5 boxcars out of 12:

n2 = 12C5 = 12! / 5! * (12 - 5)! = 792 ways 3 flatcars out of 7:

n3 = 7C3 = 7! / 3! * (7 - 3)! = 35 ways

Therefore, the total number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars is:

n1 x n2 x n3= 6 x 792 x 35= 166,320 ways.

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a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.

In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.

To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.

The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.

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Answer: The sales tax on the meal is 6%, and the family leaves a 20% tip. What is the total cost of the meal? Please answer with whole number or decimal. Linda C. answered • 01/05/15. We can do this problem a few different ways.

Step-by-step explanation:

(f–g)(x)= (3x-13) – (2x²–4x–5)= –2x²+7x-8

(f–h)(x)= (3x-13) – ( 4^x –7) = 3x – 4^x–6

(f+g)(x)= (3x-13) + (2x²–4x–5) = 2x²–x – 18

I hope I helped you^_^

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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The perimeter of a kite is the sum of all sides of the kite. In this case, the perimeter is 24 inches (in.). Therefore, we can find the length of the other set of equal sides (a) by subtracting the known length (7 in.) from 24 in.:
a = 24 - 7 = 17 in.


A kite is a geometric shape with four sides and two pairs of equal sides (a and b). The perimeter of a kite is the sum of all four sides. In this case, the perimeter is given as 24 in. We can find the length of the other set of equal sides (a) by subtracting the length of one of the pairs (7 in.) from the perimeter (24 in.):
a = 24 - 7 = 17 in.
Therefore, if the perimeter of the kite is 24 inches and the length of one pair of equal sides (b) is 7, the length of the other set of equal sides (a) is 17.

To better visualize this, consider a kite with side lengths of 7 in. and 17 in. The perimeter of this kite is equal to the sum of all its sides: 7 in. + 7 in. + 17 in. + 17 in. = 48 in.

Thus, the perimeter of the kite is 24 inches and the length of one pair of equal sides (b) is 7, so the length of the other set of equal sides (a) is 17.

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Step-by-step explanation:

5z, 5x and 5y are all unlike terms.

If there was something like 5z + 5x - 3z + 5y, then both 5z and -3z have something in common and so therefore are said to be like terms.

Hope my description helps.

Good night.

using the sum of the first 10 terms, the approximation for the sum of the series ∑(1/(3n)) from n = 1 to infinity is approximately 18.33333.

To approximate the sum of the series ∑(1/(3n)) from n = 1 to infinity using the sum of the first 10 terms, we can calculate:

s ≈ ∑(1/(3n)) from n = 1 to 10

s ≈ 1/3(1) + 1/3(2) + 1/3(3) + ... + 1/3(10)

s ≈ (1/3)(1 + 2 + 3 + ... + 10)

To find the sum of the arithmetic series 1 + 2 + 3 + ... + 10, we can use the formula:

Sum = (n/2)(first term + last term)

Sum = (10/2)(1 + 10)

Sum = 5(11) = 55

Substituting this value back into the original equation:

s ≈ (1/3)(55)

s ≈ 55/3 ≈ 18.33333

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Answer:

y = 2√5.

Step-by-step explanation:

Consider the smallest triangle.

Applying Pythagoras theorem:

y^2 = x^2 + 2^2

The smallest and larger triangle (the one with one side = 8) are similar so we have the proportions :

x/2 = 8/x

---> x^2 = 16

---> x = 4.

Therefore , substituting for x  in the first equation:

y^2 = 4^2 + 2^2

---> y^2 = 20

--->  y = √20

---> y =  2√5.

Answer:

y = 2\(\sqrt{5}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

y² = 2 × (2 + 8) = 2 × 10 = 20 ( take square root of both sides )

y = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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The number of cows needed to satisfy the beef appetite would be 5263

With an average yield of 570 pounds (258.1 Kg.) of prepared beef per cow, we need to determine how many people can be fed from this amount. The number of people fed per cow can vary depending on various factors such as portion sizes and individual dietary preferences. Assuming a reasonable estimate, let's consider that one pound (0.45 Kg.) of prepared beef can feed about three people.

To find the number of cows needed to satisfy the beef appetite for New York City's population of approximately 9,000,000 people, we divide the population by the number of people fed by one cow. Thus, the calculation becomes 9,000,000 / (570 pounds x 3 people/pound).

After simplifying the equation, we get 9,000,000 / 1710 people, which equals approximately 5,263 cows. However, it's important to note that this is a rough estimate and does not consider factors such as variations in consumption patterns, distribution logistics, or other sources of meat supply. Additionally, individual dietary choices and preferences may result in different consumption rates. Therefore, this estimate serves as a general indication of the number of cows needed to satisfy the beef appetite for New York City's population.

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You have 2 balances left in your account after putting 15 balances into it.

To find out how much you have left in your account after putting 15 balances in it, you need to subtract 15 from the original balance of 17.

So, the calculation is:

17 - 15 = 2

Therefore, you have 2 balances left in your account after putting 15 balances into it.

This problem involves a simple subtraction operation, which is a fundamental mathematical concept. Subtraction is the process of taking away one number from another to find the difference between them.  By understanding the concept of subtraction, we can make informed decisions about our finances and manage our resources effectively.

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Answer: 35, 35, 70, and 220

Step-by-step explanation:

– Let x = size of one of the two equal angles

The sum of angles in a quadrilateral is 360:

360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)

360 = 4 + 2(4 ) – 60

360 = 4 + 8 – 60

360 = 12 – 60

12x = 420

= 35

Substituting x for 35, will get: 35, 35, 70, 220

The values of the angles are 35°, 35°, 70° and 220°

Answer: To evaluate the expression 8 7/8 + (7 5/6−2 1/3), you need to start by performing the operation inside the parentheses. The expression inside the parentheses is 7 5/6−2 1/3, which can be rewritten as:

7 + 5/6 - 2 - 1/3

Step-by-step explanation: To add and subtract these fractions, you need to express them with a common denominator. One way to do this is to use a denominator of 6. To express 5/6 with a denominator of 6, you can rewrite it as 5/6 * 1/1 = 5/6. To express 1/3 with a denominator of 6, you can rewrite it as 1/3 * 2/2 = 2/6. When you use these fractions in the expression, you get:

7 + 5/6 - 2 - 2/6

= 7 + 5/6 - 4/6

= 7 - (-1/6)

= 7 + 1/6

= 7 1/6

Now that you have simplified the expression inside the parentheses, you can add 8 7/8 to it:

8 7/8 + (7 1/6)

= 8 + 7/8 + 7 + 1/6

= 15 + 8/8 + 1/6

= 15 + 1 + 1/6

= 16 + 1/6

= 16 1/6

So the final value of the expression is 16 1/6. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).

Answer:

\( {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} \)

Answer:

.42

Step-by-step explanation:

the 5 bumps the 1 to a 2

Answer:

3,564

Step-by-step explanation:

324

11

×___. if you multiply this way it might help

The answer is simply 0 cakes. The baker has 3 eggs, and each cake takes 5 eggs, which means the baker cannot make a full cake with just 3 eggs.

Therefore, the baker cannot make any full cakes. However, if the baker is allowed to use fractions of eggs, then the baker can make partial cakes. For example, if the baker uses 2/5 of an egg per cake, then the baker can make 3/(2/5) = 7.5 cakes (where 2/5 of an egg is equal to 1 cake). However, since the baker cannot use fractions of eggs, the answer is simply 0 cakes.

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Answer:

This is a sequence of 3 added to digits which start from 7 so 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, etc.

If u wanna find the 9th sequence the answer is 31

Step-by-step explanation:

Hope it helps :D

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Answer:

\(a_{n}\) = 3n + 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

10 - 7 = 13 - 10 = 16 - 13 = 3

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 3 , then

\(a_{n}\) = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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The perimeter on the blueprint is 13 inches.

What is the perimeter of the rectangle?

To find the perimeter of a rectangle, you add up the lengths of all four sides. If the length of one side is labeled "l" and the length of an adjacent side is labeled "w", then the perimeter is:

P = 2l + 2w

To find the perimeter on the blueprint, we need to convert the actual dimensions of the bedroom from feet to inches, using the scale on the blueprint.

Since 1/4 inch on the blueprint represents 1 foot in real life, we can multiply the actual dimensions of the bedroom by 1/4 to get the dimensions on the blueprint in inches:

Length on blueprint = 1/4 * 16 feet = 4 inches

Width on blueprint = 1/4 * 10 feet = 2.5 inches

Now that we have the dimensions on the blueprint in inches, we can find the perimeter on the blueprint by adding up the four sides:

Perimeter on blueprint = 2 * (length on blueprint + width on blueprint)

Perimeter on blueprint = 2 * (4 + 2.5) inches

Perimeter on blueprint = 13 inches

Therefore, the perimeter on the blueprint is 13 inches.

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Since on the left, the top number is 2 less than the bottom number and on the right side, the top number is 2 less than the bottom number, you can conclude that s = 55.

Answer: 55

Step-by-step explanation:

I let Math- way do it

Using the Work time problem solving technic, Betty and Bullwinkle to mow the entire lawn in 30 minutes if they are working together.

As we know that if A is complete the work of z in x days and B is complete the same work (z) in y days then both of can do complete work together then Equation of both A and B are completing work (z) together in

( 1/x + 1/y = 1/z ) days

Since Betty can mow a lawn is 120 minutes, then

Betty's mowing rate is 1/120th of a lanw per minute.

Since Bullwinkle can mow a lawn is 40 minutes, then Bullwinkle mowing rate is 1/40th of a lawn per minute.

Suppose working together they can a lawn in x minutes.

both together they can mow a lawn is x minutes, then their combined mowing rate is 1/x th of a lawn per minute.

To get the equation,

the sum of their mowing rates must equal their combined mowing rate,

1/40 + 1/120 = 1/x

Solve that by multiplying through by LCD of 40 and 120 is 120 then 4x = 120 => x = 30

Hence, when both are working together they complete the work together in 30 minutes .

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