A bakery received an order for cupcakes. The list tells the details of the order.
The ratio of chocolate to vanilla cupcakes is 3:2.
The ratio of chocolate cupcakes to total cupcakes is 3:5.
How many vanilla cupcakes would need to be added to the table so that the two statements are true?

Answer:

d² - 24d + c = (d - 12)² - 144 + c

A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

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If the container is a cube, every side is a square, so the length and the width are the same.

To get the number of gumballs based on the number of gumballs in one side, we can use the following equation

Where x is the number of gumballs along one side. So, replacing the total by 729 and solving for x, we get:

Answer: She counts 9 gumballs along one side of the container

Answer:

2/3

Step-by-step explanation:

If you simplify,

2/3 = 2/3

2/6 = 1/3

2/4 = 1/2

Now find the LCD,

3 · 2 = 6

Now multiply,

2/3 · 2 = 4/6

1/3 · 2 = 2/6

1/2 · 3 = 3/6

Hence you see,

2/3 is the least.

Answer:

Step-by-step explanation:

Its 4.51

What are you talking about??? -.-

Approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

A woman or girl who identifies as Hispanic or Latino, which usually refers to persons of Spanish-speaking origin or lineage from Latin America or Spain, is referred to as a "Hispanic female."

The proportion of Hispanic females with the disease is 1 in 750, which can be expressed as:

1 / 750 = 0.001333

This means that for every 750 Hispanic females, one is expected to have the disease.

To calculate the expected number of Hispanic females with the disease in a group of 26,000, we can multiply the proportion by the total number of Hispanic females:

0.001333 * 26,000 = 34.658

So we would expect approximately 34.658 Hispanic females out of 26,000 to have this particular disease.

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After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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The answers to the statements that have been made here are:

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Answer:

6907 people on that program must be surveyed if we want mean weight loss as 0.25 lb and standard deviation as 10.6 lb.

Step-by-step explanation:

Given that mean of weight loss in 0.25 lb and standard deviation is 10.6 lb.

For 95% confident level z-score must be 1.96.

That is =1.96

Now required sample size is

Where SE means standard deviation=10.6 lb and mean m=0.25 lb

Hence sample size=

Which we always should round up that is 6907.

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

Rolling a six-sided die and flipping a coin: The sample space is 6 • 3or 18 equally likely outcomes

Step-by-step explanation:

mark me brainliest!!

Answer:

w(w + 4) = 117

w^2 + 4w = 117

w^2 + 4w - 117 = 0

(w - 9)(w + 13) = 0

w = 9 meters

The width of the rectangle is 9 meters, and the length of the rectangle is 13 meters.

Answer:

16 ounces/minute

Step-by-step explanation:

1 pound = 16 ounce

60 pound = 960 ounce

1 hour = 60 minute

960/60 = 16

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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Answer:

8/3

Step-by-step explanation:

i put equations as this:

x+40 = y

where x is galllons of pure mixture and y is the gallons of the new mixture

the other equation i id was:

x+0.2(40) = 0.25y

x+8 = 0.25y

y = 4x+32

solve using substitution

(x+40) = 4x+32

x = 4x-8

-3x = -8

x = 8/3

With what?

Where is the picture

Answer:

b

Step-by-step explanation:

i just answered the same thing earlier

Answer:

50

Step-by-step explanation:

I say its 40+10 because

40-10 (one number is 10 less than)=30

10(3) (three times the other number)=30

so 40+10=50

There are 18 more servers than cooks at Bruno's burgers when the ratio is 2 : 5.

We are given that the ratio of cook to server in Bruno's Burgers is given by 2 : 5

We also know that the total number of cooks and servers = 42

Now, let number of cooks be 2 x and the number of servers be 5 x

So, ATQ, we get that:

2 x + 5 x = 42

7 x = 42

x = 42 / 7

x = 6

Number of cooks = 2 x = 2 (6) = 12

Number of servers = 5 x = 5 (6) = 30.

Difference = 30 - 12 = 18

Therefore, we get that, there are 18 more servers than cooks at Bruno's burgers when the ratio is given as 2 : 5.

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Answer:

30015 Remainder 15

Step-by-step explanation:

Answer:

30,015  11/50

Answer:

11:01 am

Step-by-step explanation:

If paco drives 55 miles per hour you must divide 274 by 55 to find the amount of time it will take for him to reach his destination:

274÷55=4.981818...

Now we have 4 hours plus 0.981818.. hours which the latter we multiply by 60 to find out how many minutes are 0.981818 hours:

60×0.981818...=58.9090...

which I will round to 59 as clocks show an hour and a minute so rounding it so it's accurate to the second is unnecassary, this means it will take him 4 hours 59 minutes to reach his destination so we subtract this from 4:00 pm:

4:00 pm-4 hours 59 minutes= 11:01 am

So our answer is 11:01 am

Since the sum of the numbers selected must exceed 1, we know that n must be at least 1. Therefore, the expected value of X is finite and is equal to 2.

The expected value of the count of numbers that are selected can be found using the geometric distribution, since it models the number of trials until a success occurs.

Let X be the number of numbers that are selected until the sum of all numbers exceeds 1. Then X has a geometric distribution with parameter p, where p is the probability of success on each trial, i.e. the probability that the sum of all numbers selected does not exceed 1.

Since the numbers are selected uniformly over [0, 1], the probability of success on each trial is given by the area under the curve between 0 and 1 after the first number is selected.

On the first trial, the probability of success is 1. On the second trial, the probability of success is the area under the curve between 0 and (1 - the first number selected).

On the third trial, the probability of success is the area under the curve between 0 and (1 - the sum of the first two numbers selected), and so on.

The expected value of X can be found using the formula for the expected value of a geometric distribution:

E(X) = 1/p

Since the expected value of the sum of n independent and identically distributed uniform [0, 1] random variables is n/2, we can use this to find p:

E(X_1 + X_2 + ... + X_n) = n/2

where X_1, X_2, ..., X_n are the n numbers selected.

So, p = 1 / (1 + n/2).

Finally, we can substitute this into the formula for E(X) to find the expected value of X:

E(X) = 1 / (1 - n/2) = 2 / (2 - n)

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Answer:

C)

Step-by-step explanation:

The line is in the form of y = ax + b, which (a) part is just the slope, so the slope is 3/4.

Answer:

3/4

Step-by-step explanation:

Y=mx+b

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer : 0.99

Explanation :  15 * 6.6/100 For The Tax.

Total : 15.99

Answer:

The two numbers are 17 and 7

Step-by-step explanation:

Translate this word problem into a math equation

If we let x and y be the two unknown numbers

One-half the sum of two numbers is 12 ==>

So one equation is 1/2(x + y) =12

Multiplying throughout by 2 gets rid of the denominator:
2 x 1/2 x (x + y) = 2 x 12

x + y = 24   (1)

One of the numbers is three more than two times the other number:
x = 2y + 3

or

x - 2y = 3  (2)

Equation (2) - Equation (1) =>

x + y - (x -2y) = 24 - 1
x + y - x + 2y = 21

3y = 21

y = 21/3

y = 7

With y = 7, substituting in equation 1 gives

x + y = 24

x + 7 = 24

x = 24-7

x = 17

The two numbers are 17 and 7

Highest point reached by object is max = 2.5 ft

Highest point reached is, 100 ft

Time taken to reach highest point = 2.5 sec

The object hit ground after 5 seconds.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

f (x) = - 16x² + 80x

Where, x is time in seconds after it kicked.

Highest point reached by object is max as;

f (x) = - 16x² + 80x

f ' (x) = - 32x + 80 = 0

x = 80/32

x = 2.5 ft

Hence, Highest point reached is,

= - 16 × 2.5² + 80 × 2.5

= - 100 + 200

= 100 ft

Time taken to reach highest point = 2.5 sec

And, When object hit ground, height, f (x) = 0

f (x) = - 16x² + 80x = 0

- 16x² + 80x = 0

16x² = 80x

16x = 80

x = 5 seconds

Thus, Highest point reached by object is max = 2.5 ft

Highest point reached is, 100 ft

Time taken to reach highest point = 2.5 sec

The object hit ground after 5 seconds.

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