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Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

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The expression \((-4-24)-2\) when simplified is \(-30\)

Simplification of an expression means to rewrite or transform the expression into an equivalent form that is simpler or more concise, without changing its meaning or value.

In mathematics, expressions can often be simplified by combining like terms, using the distributive property, factoring, canceling out common factors or terms, and other algebraic techniques.

The simplification of the expression given is:

\(-30\)

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If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.

In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.

Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:

The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.

There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.

There are 3 dots above the 9.5 minutes per problem tick mark.

Now, let's calculate the total time Mira spent:

(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.

Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

\(v = \frac{7}{2}\)

Step-by-step explanation:

Answer:

4 ounces

Step-by-step explanation:

6x2/3= 4

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

-1/8   <----- FRACTION

Step-by-step explanation:

The Distance will be  5.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

Let point (7,5) be A and point (4,9) be B

Distance formula =

Ab  = √(x1- x2) ² + (y1 -y2) ²

Then Distance AB will be

Ab  = √(7-4) ² + (5 -9) ²

= √ 3² + 4²

= √ 9 + 16

= 5

Hence the distance  will be 5.

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The points \((7,5)\)  \((4,9)\) are separated by a distance of \(5\) units.

The distance between the two points is given by the length of the segment between them.

The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).

The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.

Use the distance formula to get the distance between two places.

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

In the posted query,

\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)

Distance formula,

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)

\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)

\(d = \sqrt{ 9+16 }\)

\(d = \sqrt{ 25 }\)

\(d = 5\)

Therefore, the points \((7,5)\)  \((4,9)\) are at a distance of \(5\) units.

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Notice that on the number line we relate two points of each line (peanuts and raisins) to write the following proportions:

if we make cross product, we get:

we have that 24=24, which is always true. This means that we wrote correctly the ratios, therefore the unit rate for the ratio of peanuts to raisins is 3:1 or 1/3

Answer:

b

Step-by-step explanation:

Answer:

0.9954

Step-by-step explanation:

For normal distribution z score is

=  \(\frac{\hat p-p}{\sigma p}\)

Population proportion (p) = 0.060

Sample size (n) = 285

the standard error of proportion is

=  \(\sigma p = \sqrt{\frac{p\times (1 - p)}{n}}\)

After putting the values into the above formula we will get

= 0.0141

Probability as the sample proportion will different from the population proportion by lower than the 4% that is

Probability = P(0.02<X<0.1) = P(-2.84<Z<2.84) = 0.9977 - 0.0023

= 0.9954

Answer:

The resistance is 484 ohm.

Step-by-step explanation:

An incandescent lamp has the following data inscribed on its bulb. U= 220 V and P = 100 W. Knowing the relations U = R. i and P = U. i , it can be stated that the value of the resistance R of the lamp during operation is, in omhs:

P = 100 W

V = 220 V

Let the current is I.

P = V I

100 = 220 I

I = 0.45 A

Now,

V = I R

220 = 0.45 x R

R = 484 ohm

The resistance is 484 ohm.

Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:

answer is 0.625 because if u divide two of them they are already a decimal.

Step-by-step explanation:

The loan that will offer Craig the best effective interest rate is a) Loan L with a real percentage rate of 8.6%.

An effective interest rate is the real percentage rate on an interest-paying investment which removes the effects of compounding over time.

The formula for computing the effective interest rate is as follows:

Effective Interest Rate, r = (1 + i/n)^n - 1.

              Nominal Interest Rates    Compounding Periods

Loan L                   8.25%                    365 days

Loan M                  8.47%                    52 weeks

Loan N                  8.533%                  12 months

Loan O                  8.604%                 Yearly

Loan L = (1 + 0.0825/365)^365 - 1

= 1.08598 - 1

= 0.086

= 8.6%

Loan M = (1 + 0.0847/52)^52 - 1

= 1.0883 - 1

= 0.0883

= 8.83%

Loan N = (1 + 0.08533/12)^12 - 1

= 1.0887 - 1

= 0.0887

= 8.87%

Loan O = (1 + 0.08604/1)^1 - 1

= 1.08604 - 1

= 0.08604

= 8.604%

Thus, we advise Craig to take Loan L because it offers the least-costly effective interest rate.

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Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (1 x 1) + (1/2 x (1*4) x 3)

= 1 + 6

= 7 yd²

Answer:

non equivelent

Step-by-step explanation:

just as an example to prove my awnser lets make a=1 and b=2

3(1+2)=9

3(1)+2=5

it would be equivelent if they both equaled the same number. :P

Answer:

5 dimes and 16 nickels

Step-by-step explanation:

5 times 3 = 15 + 1 = 16

5 times 10 = 50 cents

16 times 5 = 80 cents

50 + 80 = 130 or $1.30

Answer:

Step-by-step explanation:

Given function:

The profit if 750 students are enrolled:

The equation is

Put x=750

p(750)=0.4(750)²-19(750)=$210750

The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Given:

The initial length of the image, l = 6 inches,

The initial width of the image, w = 4 inches,

The reduced length of the image, L = 4 inches,

The area of the initial image = The area of the reduced image,

l × w = L × W

Here W is the reduced width.

Substitute the values,

6 × 4 = 4 × W

W = 6 inches,

Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

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Answer:

2 terms

Step-by-step explanation:

Purchase machinery from ABC Co. Ltd. Rs.10000and paid partly payment Rs.6000. What is it's journal entry.

Debit Machinery Account for Rs. 10,000

Credit ABC Co. Ltd. Account for Rs. 10,000

Debit ABC Co. Ltd. Account for Rs. 6,000

Credit Cash/Bank Account for Rs. 6,000

Answer:

Step-by-step explanation:

Here you go mate

Step 1

9(x + 3)< 6x - 12  equation

Step 2

9(x + 3)< 6x - 12  simplify

3x+27<-12

Step 3

3x+27<-12  Simplify by adding and dividing

x<-13

Answer^

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)