1/6 of a birthday cake is left over from a party. The next day, it is shared among 7 people. How big A piece of the original cake did each person get?

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Solving :

Answer: 105 square feet

Step-by-step explanation: The answer is 105 square feet because find the area of the pool by multiplying 12 and 20 to get 240. You then want to find the area of the total space. Add 3 to 12 and add 3 to 20. Then multiply 23 by 15 to get 345. You then want to subtract 345 - 240 to get rid of the extra space to get your answer of 105.

Answer:

x= -1 and x= -5

Explanation

y=(x+1)(x+5)

set both equations equal to 0

x+1=0 and x+5=0

subtract each constant from the appropriate  side

x= -1             x=-5

Answer:

Step-by-step explanation:

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

[tex]\sqrt[n]{x} =x^\frac{1}{n}[/tex]

For the first expression, we can use this proprtery to get:

[tex]\sqrt[5]{a^x} =(a^x)^\frac{1}{5}[/tex]

Using exponent rules, you can combine the exponents by simply multiplying them to get:

[tex]a^\frac{x}{5}[/tex]

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

[tex]\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }[/tex]

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

[tex]\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }[/tex]

The square root of 81 has a perfect root of 9. We have:

[tex]ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }[/tex]

You can divide 9 and the square root of 3 by breaking up 9 into a product:

[tex]\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }[/tex]

Simply by cancelling the 'a' terms to get:

[tex]3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}[/tex]

Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

A demand curve shows the quantity demanded of a product at each price.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

A demand curve simply means a graphical representation of the relationship between price and quantity demanded.

In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.

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The profit-maximizing price is when the marginal cost equals marginal revenue.

An individual’s utility-maximizing choices can lead to a demand curve.

Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.

In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.

The marginal decision rule—generally produce downward-sloping demand curves.

This section shows how an individual’s utility-maximizing choices can lead to a demand curve.

Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.

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Answer:

3 pounds of bananas

Step-by-step explanation:

1.84 ÷ 0.48 = 3.8333etc

since you can't buy 4 pounds with the money you have its 3 pounds of bananas

Answer:

$645.89

Step-by-step explanation:

Answer:

17 stops on 1 ticket

Step-by-step explanation:

Answer:

17 stops on 1 ticket

Step-by-step explanation:

The division is one of the four fundamental arithmetic operations. The amount that is needed to be paid by each friend is $74.75.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

As it is given that the total cost of the computer is $299, it is needed to be split between four friends. Therefore, the price will be paid by the four friends equally which can be written as,

[tex]\text{Amount paid by each friend}=\dfrac{\text{Total cost of computer}}{\text{Number of friends}}\\\\\\\text{Amount paid by each friend}=\dfrac{\$299}{4} = \$74.75[/tex]

Thus, the amount that is needed to be paid by each friend is $74.75.

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Answer:

C. 72

Step-by-step explanation:

your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm

so we know cos = adjacent/ hypotenuse

so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)

after typing into calculator you should get about 72

Answer:

C

Step-by-step explanation:

cos(0)= Adjacent/Hypotenuse

cos(0)= n/p

cos(0)=2.4/7.8

cos(0)=4/13

(0)=cos‐¹(4/13)

(0)=72.07978686

(0)=72°

angle (0)= 72°

Answer:

10 trips

Step-by-step explanation:

50kg in a bag, 4535.92 kg in 5 tons

4535.92kg/50kg = 90.7184

90/10 = 9 trips

but there's still 0.7184 bag left, so the pick-up would need to make 10 trips.

Answer:

51 seats

Step-by-step explanation:

96 = 2 buses minus six seats

96 = 2x -6

102 = 2x

102/2 = x

51 seats

Answer:

1/4 feet

Explanation:

So

Hence.

Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:

(0, 3); y = 4

It is modeled by:

[tex]y = ab^x + c[/tex].

In which:

In this problem, the equation is:

[tex]y = 4^x + 3[/tex].

Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:

[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]

Which means that the first option is correct.

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Answer:

B. (0, 4) ; y = 3

Step-by-step explanation:

I took the exam for algebra 2

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf\green{y = 6}[/tex]

[tex] \mathsf \purple{{y}^{2} - 9y + 2}[/tex]

[tex] \mathsf \pink{ {6}^{2} - 9(6) + 2}[/tex]

[tex] \mathsf \purple{36 - 54 + 2}[/tex]

[tex] \mathsf \pink{ - 16}[/tex]

[tex] \mathbb\green{Hope\:It\:Helps} [/tex]

The percentage of the runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The times of all 15 years old who run a certain race are approximately normally distributed with a given mean μ = 18 sec and standard deviation σ = 1.2 sec.

The percentage of the runners has times less than 14.4 sec.

Then the z-score will be given as

[tex]\rm z = \dfrac{X - \mu}{\sigma }\\\\\\z = \dfrac{14.4 - 18}{1.2}\\\\\\z = -3[/tex]

Then the percentage will be

[tex]\rm P(z < -3)=0.00135 = 0.135 \% \approx 0.15 \%[/tex]

More about the normal distribution link is given below.

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Answer:

A.  0.15%

Step-by-step explanation:

edge 2022

Answer:

10

Step-by-step explanation:

If you cut each sandwich in half and count how many halves there are, you are essentially multiplying it by 2. 5 times 2 is 10. Therefore, your answer is 10. Hope this helps:)

Answer:

3025

Step-by-step explanation: Add the first five square numbers together then square that.

1²+2²+3²+4²+5² = 55

55² = 3025

Answer:

This is a net

Step-by-step explanation:

Good Luck!!

Answer:

LCM of 3 and 2 is 6

so, firstly we had to make the denominator same:-

[tex] \frac{2(2a + 1) + 3(3a - 1)} {6} [/tex]

[tex] \frac{4a + 2 + 9a - 3}{6} [/tex]

[tex] \frac{13a - 1}{6} [/tex]

Step-by-step explanation:

hope this helps you!!!

XxITSCHOCOLOVERxX

The simplified equation of [tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex] is [tex]\frac{13a-1}{6}[/tex]

[tex]\frac{2a+1}{3}+\frac{3a-1}{2}[/tex]

[tex]\frac{2a+1}{3}+\frac{3a-1}{2} = \frac{2(2a+1)+3(3a-1)}{6}[/tex]

open the bracket in the numerator

Therefore,

[tex]\frac{2(2a+1)+3(3a-1)}{6}=\frac{4a+2 + 9a-3}{6}[/tex]

combine like terms in the numerator

[tex]\frac{4a+2 + 9a-3}{6}=\frac{4a+9a+2-3}{6}[/tex]

Hence,

[tex]\frac{4a+9a+2-3}{6}=\frac{13a-1}{6}[/tex]

Therefore, the final equation is as follows

[tex]\frac{2a+1}{3}+\frac{3a-1}{2}=\frac{13a-1}{6}[/tex]

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The kind of food that will finish and get used up first is the boxes of granola.

Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.

From the parameters given:

The time at which the 65 tubs of yogurt will finish:

= 65/4

= 16th rounds with a remainder of 1 tub

The time at which 16 boxes of granola will finish:

= 16/4

= 4th round

A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.

Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.

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Answer:

B

Step-by-step explanation:

The amount of change Zelma should receive is 20-0.40p, or 20 dollars minus the total amount of the bananas (each pound multiplied by 40 cents).

Answer: Simple the answer is c.

Step-by-step explanation:

First start out with 20 witch is a full number and subtract .40 p from 20

.40 is the cost of each banana and p is the amount of bananas that will be purchased.

Answer:

a 9 degrees

Step-by-step explanation:

so I'm not sure but if this is the right answer I think it's 9 so basically you do 14-5=9

A

y=4x

8/2=4. .and the rest too have the same value

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

Answer:

17/15

Step-by-step explanation:

2 5/6 x 2/5

convert 2 5/6 into improper fraction

17/6 x 2/5

cancel out the greatest common factor which would be the 6 and the 2

17/3 x 1/5

multiply straight across

17/15

could also be written as 1 2/15 or 1.13