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6.125 cups of sugar will need to bake 3.5 cakes.

From the question, we have

To bake a cake, sugar required = 1.75 cups

To bake 3.5 cake, sugar required = 1.75*3.5=6.125 cups

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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The chord length (C) between PC and P is 5.831 cm.

A chord is a straight-line segment that connects two points on a circle. P is a point on the circumference of the circle, while PC is a chord of the circle that passes through P.

Therefore, the chord length (C) between PC and P is equal to half of the length of the chord PC. In other words, we need to find the length of PC and divide it by 2. We can do this using the Pythagorean Theorem since we have a right triangle formed by PC and the diameter of the circle.

Diameter of the circle (AB) = 20 cm

Radius of the circle (OA) = AB/2 = 10 cm

Height of the triangle (OP) = 6 cm

Using the Pythagorean Theorem, we can find the length of PC as follows:

PC² = PO² + OC²PC² = 10² + 6²PC² = 136PC = √136PC ≈ 11.661

Therefore,  is equal to C = PC/2C = 11.661/2C ≈ 5.831 cm.

So, the answer to the question "What is the chord length (C) between PC and P? when the diameter of the circle = 20 cm and the Height of the triangle = 6cm" is 5.831 cm.

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Looking through the options, the answer is option D.

1a. 10. 24

1b. 125/243

2a. 0. 0048

2b. 32/3125

3a. 0. 64

3b. 0. 0031

4a. 2/5

4b. 48. 735

5a. 2. 36

5b. 1. 39

1a. Given the values

(2/5)^2/(1/2)^6

Multiply both the numerator and denominator by the powers

⇒ \(\frac{\frac{4}{25} }{\frac{1}{64} }\)

To find the common ration, multiply thus;

⇒ \(\frac{4}{25}\) × \(\frac{64}{1}\)

⇒ \(\frac{256}{25}\)

= 10. 24

1b. (5/7)^2 × (5/7)^1

= \(\frac{25}{49}\) × \(\frac{5}{7}\)

= \(\frac{125}{343}\)

= 125/243

2a. 0. 6^1  × 0. 2^3

= 0. 6 × 0. 008

= 0. 0048

2b. (2/5)^3 × (2/5)^2

= \(\frac{8}{125}\) × \(\frac{4}{25}\)

= \(\frac{32}{3125}\)

= 32/ 3125

3a. 1^99 - 0. 6^2

= 1 - 0. 36

= 0. 64

3b. (0. 2 ) ^1 × (1/8)^2

= 0. 2 × 1/64

= 0. 2 × 0. 016

= 0. 0031

4a. (1/2)^2/ (5/8)^1

= \(\frac{\frac{1}{4} }{\frac{5}{8} }\)

Take the inverse of the denominator

= \(\frac{1}{4}\) × \(\frac{8}{5}\)

= 2/5

4b. 7^2 - 0. 5^3

= 49 - 0. 125

= 48. 875

5a. 3^1 - 0. 8 ^2

= 3 - 0. 64

= 2. 36

5b. 0. 7^2 + 0. 9^1

= 0. 49 + 0. 9

= 1. 39

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Answer:

92         4× 23

Step-by-step explanation:

sorry if im incorrect

Answer:

Carl solves 69 multuplication problems

Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

How much quantity of orange juice does Monique need to maintain the ratio of pineapple to orange juice?

Given that,

Quantity of pineapple juice by 20 people = 32 ounces

Quantity of orange juice by 20 people = 48 ounces

Consider the quantity Monique needs = x

Therefore, their ratio is as follow

⇒ 20/x  =  32/48

⇒ 20/x  =  2/3

⇒     x=60/2

⇒     x=30

Hence Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

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Answer: 58 Shakers

Step-by-step explanation:pairs mean 2 and 29 * 2 = 58

hope this helps :)

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

B

Step-by-step explanation:

(hx)(gx)

(2x+5)(3x+2)

6\(x^{2}\)+4x+15x+10

6\(x^{2}\)+19x+10

Answer B

There are 24 cats in the event

let c represent the number of cats

let d represent the number of dogs

The total number of animals is 45

The ratio of the cats to the dogs is 8:7

8/8 +7 × 45

= 8/15 × 45

= 8 ×3

= 24

Hence there are 24 cats in the event

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Answer:

Survey/Pie Chart

Step-by-step explanation:

If you are getting multiple peoples opinion, you will need a survey to get the results, which you can fill in on a pie chart later on to see if the proportion of people who like eggplant/aubergine is greater than 40%

The least common denominator of the given rational expressions is 2x^3(x + 4). This is the smallest expression that both denominators can be multiplied by to obtain equivalent fractions with a common denominator.

To find the least common denominator (LCD) of the rational expressions 1/(2x^2 + 8x)and 10/x^2, we need to determine the common factors in the denominators and then multiply them.

The first denominator, 2x^2 + 8x, can be factored as 2x(x + 4), where x + 4 is a linear factor.

The second denominator,\(x^2\), is already in its factored form.

To find the LCD, we need to consider all the factors and their highest powers. In this case, we have:

2x(x + 4) and \(x^2\)

Since the highest power of x in 2x(x + 4) is 1 and in \(x^2\) is 2, the LCD must include both factors with their highest powers. Therefore, the LCD is:

LCD = 2x(x + 4)(x^2)

Simplifying further, we can write the LCD as:

LCD = 2x^3(x + 4)

So, the least common denominator of the given rational expressions is 2x^3(x + 4). This is the smallest expression that both denominators can be multiplied by to obtain equivalent fractions with a common denominator.

Using the LCD, we can then add or subtract the rational expressions by multiplying each term by the necessary factors to achieve the common denominator.

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Answer:

(1, -11)

The correct answer is B

Answer:

The answer is c. 81.76%

Answer:

3 1/5 = 16/5 (If 3 1/5 is a mixed number)

=> The multiplicative inverse of 3 1/5 is 5/16

Step-by-step explanation:

number 2 is your answer

Answer:

number 2 is your answer

Step-by-step explanation:

Answer:38

Step-by-step explanation:

Answer:

It is the third option.

Step-by-step explanation:

Also Math-way is a good place to answer questions like these as well.

The probability that a continuous random variable will be equal to any specific value is zero. This is because the probability of an individual value for a continuous random variable is represented by the area under the probability density function (PDF) at that particular value, and the area of a single point is zero.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

We have,
Vermont had 65.3% of respondents who said yes to exercising for at least 30 minutes a day, 3 days a week.

To find the sample proportion, you can convert the percentage to a decimal by dividing the percentage by 100.

Step 1:

Convert the percentage to a decimal.
65.3 / 100 = 0.653

Thus,
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.653.

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Answer:

7/6

Step-by-step explanation:

6*1=6

6+1=7

7/6

Hope this helped! :)

The length of the side AG is approximately 224.17 units

Since triangle JON is similar to triangle BRG, we know that the corresponding sides are proportional. Let's label the lengths of the sides of the triangles as follows:

JO = a

ON = b

JN = c (which is also equal to BR, since corresponding sides are proportional)

BR = c

RG = d

BG = e

Then, we can set up the following ratios:

a/c = b/e (corresponding sides of similar triangles are proportional)

c = 2JH (median of a triangle divides the opposite side into two equal halves)

c = 2BA (same as above)

JN = JO + ON = a + b (sum of two sides of a triangle is greater than the third side)

Using the above equations, we can solve for the unknown lengths:

c = 2JH = 256 = 112 units

c = 2BA = 292 = 184 units

b = ce/c = e = 112/184 * BA = 56 units

a = cb/e = b/e × JO = b/e × (JN - ON) = 56/35 × (56 - 35) = 32.8 (rounded to one decimal place)

d = cb/a = c/e × RG = 112/56 × RG = 2RG

Therefore, we have found expressions for all six lengths in terms of the given values and x:

JO = a = 32.8 units

ON = b = 56 units

JN = c = 112 units

BR = c = 112 units

RG = d = 2 × RG = 224b/a = 430.49 units (rounded to two decimal places)

BG = e = c×b/c = 56/92 × 184 = 112.17 units (rounded to two decimal places)

Finally, we can use the fact that AG = BG + BR to solve for x:

AG = BG + BR = 112.17 + 112 = 224.17 units

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Answer:

I think it is 7x+5y=40. Tell me if I'm right because don't think I am.

Step-by-step explanation:

Answer:

it 5cm because the 0 is non simbol

x1 and x2, x1 and x5, x2 and x3, x2 and x5, x3 and x4 and x3 and x5 means differ significantly from one another

The experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint.

The value of W for Tukey's procedure is:

W = q(α, 5, 20) * √(MSE/J)

where α = 0.05 is the significance level, 5 is the number of treatments, 20 is the total number of observations (4 observations per treatment), MSE = 450.8 is the mean square error, and q(α, 5, 20) is the critical value from the Studentized range distribution table.

Using the table, we find that q(α, 5, 20) = 3.365.

Substituting the values, we get:

W = 3.365 * √(450.8/4) = 21.63

The means that differ significantly from one another are:

x1 and x2

x1 and x5

x2 and x3

x2 and x5

x3 and x4

x3 and x5

Therefore, the correct answer is:

x1 and x2

x1 and x5

x2 and x3

x2 and x5

x3 and x4

x3 and x5

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x = -1 and y = -13, (-1,-13) is the solution to the system of equation y = 3x - 10 and y = -2x - 15.

Given the system of equation in the question;

To find the solution to the system of equation, replace the occurrence of y in the second equation with y = 3x - 10  and solve for x.

y = -2x - 15

3x - 10 = -2x - 15

Add 10 to both sides

3x - 10 + 10 = -2x - 15 + 10

3x = -2x - 15 + 10

Add 2x to both sides

3x + 2x = -2x + 2x - 15 + 10

3x + 2x = - 15 + 10

Add like terms

5x = -5

x = -5/5

x = -1

Now, to solve for y, replace all occurrence of x with -1 in the first equation and solve for y.

y = 3x - 10

y = 3( -1 ) - 10

y = -3 - 10

y = -13

Therefore, the solution to the system of equation is (-1,-13).

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Answer:

O AB is a major arc

Step-by-step explanation:

Circle M has the central angle LAMB with a measure of 63º

Which of the following statements does not represent the  circle M?

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

O AB is a minor arc

O mAB=63 º

O The center of the circle is point M.

O AB is a major arc

There are 15,504 ways to distribute 20 comic books among five kids if there are no restrictions on how many go to each kid.

To evaluate this expression, we can use the formula for combinations:

ⁿCₓ = n! / (x! (n-x)!)

where n is the total number of objects, x is the number of objects to be selected, and "!" denotes factorial

In this case, we have:

n = 20 and r = 5

so we can plug these values into the formula:

²⁰C₅ = 20! / (5! (20-5)!)

= (20 x 19 x 18 x 17 x 16) / (5 x 4 x 3 x 2 x 1)

= 15,504

Therefore, there are 15,504 ways to distribute the 20 comic books among the five kids if there are no restrictions on how many go to each kid.

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Complete Question:

20 different comic books will be distributed to five kids.

How many ways are there to distribute the comic books if there are no restrictions on how many go to each kid (other than the fact that all 20 will be given out)?