mike bought 8 pieces of candy at the grocery store this 25 percent of the items he purchased at the grocery store. how many items did mike purchased at the grocery store

The prime factorization of 6 is the expression of 6 as a product of its prime factors.

A prime factor is a prime number that is a factor of the given number. To find the prime factorization of 6, we need to express 6 as a product of its prime factors. Since 6 can be evenly divided by 2 and 3, which are both prime numbers, the prime factorization of 6 is 2 x 3. We can also write this as 2^1 x 3^1, using exponents to show that there is only one 2 and one 3 in the prime factorization of 6. Finally, since 2 and 3 are both prime, we order the factors from least to greatest as 2 x 3.

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The candy distributor needs to use 30 kilograms of 10% fat-content chocolate and 70 kilograms of 50% fat-content chocolate to create 100 kilograms of a 14% fat-content chocolate.

To solve this problem, we can use the method of mixture problems, which involves setting up a system of equations. Let x be the number of kilograms of the 10% fat-content chocolate and y be the number of kilograms of the 50% fat-content chocolate.

We have two equations based on the fat content and the total weight of the mixture:

0.1x + 0.5y = 0.14(100) (equation for fat content)

x + y = 100 (equation for total weight)

We can solve this system of equations using substitution or elimination. Using substitution, we can solve for x in terms of y from the second equation and substitute it into the first equation:

x = 100 - y

0.1(100 - y) + 0.5y = 0.14(100)

10 - 0.1y + 0.5y = 14

0.4y = 4

y = 10

Then we can substitute y = 10 back into the equation for x and get:

x = 100 - y = 100 - 10 = 90

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Answer:

According to the question z must be equal to 4. So value of a+b=z or a+b=4

Lets try each of the options

A) a+b

1.6+2.3=3.9 which is not equal to 4

So option a is not the asnwer.

B) a+b = 1.6+2.5= 4.1 which is not equal to 4

C) a+b= 1.9+2.1= 4.00 which is equal to 4

D) a+b= 2.1+3.4= 5.5 which is not eqaul to 4

Thus, we have OPTION C AS THE CORRECT ANSWER

Answer:

It's NOT C, it's D!

Step-by-step explanation:

Answer:

step 4 ,step 2, step 1 , step 3 , step 5

D. The angles are congruent (same measure) and the side lengths are proportional (consistent ratios) in a dilation with a scale factor not equal to 1. therefore option D is correct.

When a dilation with a scale factor not equal to 1 is performed, the angles and side lengths of the pre-image and the corresponding image have a specific relationship.

The correct answer is D. The angles are congruent, meaning they have the same measure, and the side lengths are proportional, meaning they have a consistent ratio.

In a dilation, the angles of the pre-image and the corresponding image remain the same. They are congruent because the dilation only changes the size of the shape, not the angles.

On the other hand, the side lengths of the pre-image and the corresponding image are proportional. This means that the ratios of corresponding side lengths are equal. For example, if one side of the pre-image is twice as long as another side, the corresponding side in the image will also be twice as long.

So, in summary, the angles are congruent (same measure) and the side lengths are proportional (consistent ratios) in a dilation with a scale factor not equal to 1.

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Answer:

9

Step-by-step explanation:

3 + 0 = 3

-2 + 6 = 4

2 + 18 = 20

From this:

1 + 8 = 9

Answer:

A.9

Step-by-step explanation:

✓3 + 0 = 3

✓ -2 + 6 = 4

✓ 1 + 8 = 9

✓ 2 + 18 = 20 beacuse of this the answer is 9

The required equation is m/w = 900/18

What is meant by an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Differential equations are equations in which one or more functions and their derivatives are involved. They are solved by locating a function expression that does not use derivatives. Differential equations are used to represent processes with variable rates of change in fields such as physics, chemistry, biology, and economics.

The required equation is m/w = 900/18

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The exponential form of 72 can be written as \(2^{3}\) . \(3^{2}\) . It can be written using the prime factorization of the number.

The exponential form is an easier way of writing repeated multiplication involving base and exponents. To write the exponential form we have to write the prime factorization of that number. Prime factorization of the number is that number written as a product of prime numbers or as a product of powers of prime numbers. A basic exponential function from its definition is of the form f(x) = b x, where 'b' is a constant and 'x' is a variable. generally it refers to the positive valued function of a real variable. We can find the prime factorization of a number using factor trees, which are tools used to repeatedly break a number into products until all of the factors are prime numbers.

72 = 2 × 2 × 2 × 3 × 3 =  \(2^{3}\) . \(3^{2}\)

Therefore, the exponential form of 72 can be expressed as \(2^{3}\) . \(3^{2}\) .

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Answer:

\(0.9\bar{2}\)

Step-by-step explanation:

since the bar or line over the number means that it is repeated. This is also equivilent to the rational fraction 83/90

Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using L * W * H, or B * H

-> The length (L) times the width (W) is equal to the base (B)

V = B * H

528 = 88H

6 = H

The triangle is solved and the measure of lengths of sides and angles are

a) Measure of ∠A = 48° , b = 25.5 units , c = 18.7 units

Given data ,

Let the triangle be represented as ΔABC

Now , from the law of sines , we get

a / sin A = b / sin B = c / sin C

The measure of ∠A = 180° - ( 85° + 47° )
∠A = 48°

So , 19 / sin 48° = b / sin 85°

Multiply by sin 85° on both sides , we get

b = 19 x ( 1.34 )

b = 25.5 units

c / sin 47° = 19 / sin 48°

Multiply by sin 47° on both sides , we get

c = 19 x 0.9841

c = 18.7 units

Hence , the triangle is solved

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To prove that X is an ordered set in which every closed interval is compact, then X has the least upper bound property, let A be a nonempty set in X that is bounded above. Let S be the set of all upper bounds of A. Then S is nonempty because X has the least upper bound property.

To show that S has a least upper bound, we must show that S is bounded above and that the least upper bound property holds for S.To show that S is bounded above, let b be any element of A. Since b is an upper bound of A, S contains b, so b ≤ s for every s in S. Therefore, S is bounded above. Let c be the least upper bound of S. We claim that c is the least upper bound of A. Let a be any element of A. Since a is not an upper bound of A, there is an element s in S such that a ≤ s. But c is an upper bound of S, so s ≤ c.

But c is the least upper bound of S, so c ≤ d. Therefore, c is the least upper bound of A as well. So X has the least upper bound property.Now, to show that [0, 1] is not limit point compact as a subspace of Re, consider the sequence an = 1/n for n ≥ 1. Then, every element of the sequence is in [0, 1], so the sequence is a sequence in [0, 1]. However, the limit of the sequence is 0, which is not in [0, 1]. Therefore, [0, 1] is not limit point compact as a subspace of Re.

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Answer:

160

Step-by-step explanation:

If there were only 2 options, all the people who didn't pick one chose the other one.

So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.

Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.

To find the total number of students, we add 120 and 40 to get 160

Answer:

Step-by-step explanation:

£63 = 135 × 63

       = Rs . 8505

Rs . 8505 = 8505 / 105

                 = $81

Answer:

Step-by-step explanation:

20:50

Answer:

-5x + 1

Step-by-step explanation:

Hello!

We can find the quotient by factoring the numerator, and cancelling common factors.

The quotient is (-5x + 1).

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathbf{\dfrac{15x^2 - 3x}{-3x}}\)

\(\huge\textbf{Simplify the current equation:}\)

\(\mathbf{= \dfrac{-3x(-5x + 1)}{-3x}}\)

\(\huge\textbf{Cancel out \boxed{\bf -3x} \& simplify it:}\)

\(\mathbf{= \dfrac{-15x + 3}{3}}\)

\(\huge\textbf{Simplify that above:}\)

\(\mathbf{= -5x + 1}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{-5x + 1 }}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

the second steps was wrong.

Step-by-step explanation:

2x-8+3x+2=4x+10+3x-6

5x-6=7x+4

5x-7x=4+6

-2x=10

x=-5

===================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 500*(1+0.05/4)^(4*3)

A = 580.3772588615

A = 580.38

The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.

In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.

Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.

Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.

Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.

Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.

Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.

However,

Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.

It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.

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Answer:

Deon drove 270 miles.

Let x be the number of miles driven.

The total cost is 20.95 + 0.74x = 221.49

Subtracting 20.95 from both sides gives 0.74x = 200.54

Dividing both sides by 0.74 gives x = 270 miles

So the answer is 270

Answer:

271 miles

Step-by-step explanation:

The equation to find the total cost is

C = 20.95 + .74 m  where m is the number of miles

221.49 = 20.95 +.74m

Subtract 20.95 from each side

221.49 -20.95 = 20.95-20.95 +.74m

200.54 = .74m

Divide each side by .74

200.74/.74 = m

271 = m

The new variance is 0.0625 / n

We can use the following formula to calculate the variance of a data set

variance = (sum of (x - mean)^2) / (number of data points)

where x is a data point and mean is the mean of the data set.

If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows

standard deviation = square root of variance = sqrt(0.35) = 0.59

Now, if the price increases by 25 cents a box, the new mean cost will be

new mean = $4.00 + $0.25 = $4.25

To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.

sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n

where n is the number of data points.

Therefore, the new variance can be calculated as

new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n

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The real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.

The figure represent the position of the ship(S) and the marine base(B).

a) Real distance between the ship and the base is;

When the distance from ship and the base is measured by rules. It comes out 3.5 cm.

The scale of the diagram is 1 cm, represents 10 km. Thus,

BS = 10/ 1 x 3.5

BS = 35 km

b) Measure the bearing of B from S

With the help of compass, the bearing angle of B from S is measured as the given;

Angle BSN = 70 degree

Thus, the real distance between the ship and the base is 35 km and the measure of the bearing of B from S would be; 70 degrees.

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Answer:

5. x = 8

8. x = 52

9. a) x/300 = 7/15

9. b) 140

Step-by-step explanation:

When testing a capacitor with an ohmmeter, if a technician obtains a continuous reading of 100Ω, the capacitor is basically good. So, the correct answer is B.

A capacitor is an electronic component that stores electric charge. It consists of two conductive plates separated by a dielectric or insulating material, which is typically made of ceramic, plastic, or paper.

Capacitors come in a variety of shapes and sizes, ranging from small surface-mount components to large cylindrical capacitors used in high-voltage applications.

An ohmmeter, which is an instrument used to measure electrical resistance, can be used to test a capacitor. In the given scenario, if the technician obtains a continuous reading of 100Ω, the capacitor is basically good.

This implies that the capacitor is functioning properly and has no issues, since the reading is within the expected range and indicates that the capacitor is neither open nor internally shorted nor fully charged nor fully discharged.The correct answer is b. Basically good.

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Answer:

74°

Step-by-step explanation:

From the attached figure, translation only affects the length of the sides of the triangle :

From the figure :

We are given ;

A = 80° ; C = 26° ; B =?

Sum of angles in a triangle :

A + B + C = 180°

80° + B + 26° = 180°

106° + B = 180°

B = 180 - 106

B = 74°

Answer:

you would of bought three bags of tomatoes

The factor the binomial

Find the square root of a and the square root of b, then put them as the product of the sum and difference of these square roots

We will use this rule to factor in the given expression

Find the square root for each term

Write the two factors

The answer is the last choice (6x + 7)(6x - 7)

Step-by-step explanation:

Given,

3 coffee + 2 muffins = $7

and

2 coffees + 4 muffins = $8

let the coffee be x and muffins be y.

so now, we got

3x + 2y = $7 -----------(eqⁿ 1)

2x + 4y = $8 -------------(eqⁿ 2)

multiply (eqⁿ 1) by 2

we got,

2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)

now, subtract (eqⁿ 2) from (eqⁿ 3)

we got,

(6x - 4y = $14) - (2x + 4y = $8)

we got,

4x = $6

x = 6/4 = $1.5

to get value of y put the value of x in eqⁿ2

we got,

→ 2(1.5) + 4y = $8

→ 3 + 4y = 8

→ 4y = 8 - 3 = 5

→ y = 5/4 = $1.25

hence,

value of one coffee = $1.5

value of one muffin = $1.25

Hope this answer helps you dear! take care!.

The correct answer is option A which is y = 25x + 100.

Given the following:

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month

We need to write an equation for the cost (y) based on the number of months.

To solve the above problem, the answer is;a. y = 25x + 100

Explanation; Let's break down the problem

The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months

Therefore the correct answer is option A which is;y = 25x + 100.

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To join a local square dancing group,

Jan has to pay a $100 sign-up fee plus $25 per month.

The equation for the cost (y) based on the number of months is

y = 25x + 100,

where x is the number of months.

Option A is the correct equation for the cost based on the number of months.

Writing the equation:

y = 25x + 100

Where:

y = Cost based on the number of months

x = Number of months

Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:

$25 * 1 + $100 = $125

And if Jan has been a part of the group for 4 months, then the total cost would be:

$25 * 4 + $100 = $200

Therefore, option A is the correct answer.

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To determine the number of significant discriminant functions and their relative discriminating power in a dataset, a discriminant analysis needs to be performed. Discriminant analysis is a statistical technique used to classify objects or individuals into different groups based on a set of predictor variables.

The number of significant discriminant functions is equal to the number of distinct groups or classes in the dataset minus one. Each discriminant function represents a linear combination of the predictor variables that maximally separates the groups or classes.

The relative discriminating power of each discriminant function can be assessed by examining the Wilks' lambda value or the eigenvalues associated with each function. Wilks' lambda represents the proportion of total variance unexplained by each discriminant function. Smaller values of Wilks' lambda indicate higher discriminating power.

To determine the exact number of significant discriminant functions and their relative discriminating power in a specific dataset, the discriminant analysis needs to be performed using statistical software or tools specifically designed for this analysis.

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