A rectangle has a height of 5 and a width of 4x2 – 2x – 6.

Express the area of the entire rectangle

Expression should be expanded.

Answer:

[tex] \frac{1}{.5} \\ 1 \div 0.5 \\ = 2[/tex]

Samadhi paid $1.32 more than Karega for her chocolate.

The subject of this question is in Mathematics, specifically it involves unit conversion and arithmetic calculations. We know that chocolate costs $17.60 per kilogram. But Karega and Samadhi are buying chocolate in grams which means we need to convert the cost from kilograms to grams. 1 kilogram is equal to 1000 grams. So, cost of chocolate per gram = $17.60/1000 = $0.0176.

Karega is buying 25 grams of chocolate, so the cost = 25 * $0.0176 = $0.44. Samadhi is buying 100 grams of chocolate, so the cost =$0.0176 * 100 = $1.76. To find out how much more Samadhi paid for her chocolate compared to Karega, we subtract Karega's cost from Samadhi's cost which gives $1.76 - $0.44 = $1.32.

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We developed three functions to model student attendance, per-student expenditure, and total food cost. S(t) = 150 * (1 + 0.08)^t models the number of students, A(t) = 10 * (1 - 0.04)^t models the cost per student, and E(t) = S(t) * A(t) models the total cost.

We are asked to model the predicted number of students, the amount spent per student and the total expense for food per year over time.

A. The function S(t) = 150 * (1 + 0.08)^t represents the predicted number of students over time.

B. The function A(t) = 10 * (1 - 0.04)^t represents the predicted amount spent per student over time.

C. The function E(t) = S(t) * A(t), represents the total predicted expense for food each year over time.

So, 'S(t)' represents the increase of students, 'A(t)' represents the decrease in the amount spent per student, and 'E(t)' the total expenditure of food each year.

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Answer:

8750 registered voters

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

[tex]2.226X 10^8[/tex]

Step-by-step explanation:

We are to determine the value of [tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex] in scientific notation.

Given:

[tex](5.3 X 10^4) (4.2 X 10 ^ 3)[/tex]

STEP 1: Remove the brackets.

[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=5.3 X 10^4X4.2 X 10 ^ 3[/tex]

STEP 2: Separate the numbers and index of 10.

[tex]=5.3 X4.2X 10^4 X 10 ^ 3[/tex]

STEP 3: Multiply the Numbers and Index of 10

[tex]=22.26X 10^{4+3}[/tex]

STEP 4: Simplify and write in Scientific notation

[tex]22.26=2.226X10\\Therefore:\\22.26X 10^{4+3}=2.226X10X 10^{4+3}=2.226X10X 10^7=2.226X 10^8[/tex]

Thus:

[tex](5.3 X 10^4) (4.2 X 10 ^ 3)=2.226X 10^8[/tex] in scientific notation

Answer:

C.) 2.226 times 10^8

Step-by-step explanation:

5.3* 10^4    * 4.2 * 10^3

5.3* 4.2 =22.26

10^(4+3) = 10^7

22.26*10^7

2.226 * 10 ^(7+1)

=2.226*10^8

Answer:

7 word searches

Step-by-step explanation:

To solve this problem, all we have to do is take the total amount of minutes and divide it by the amount of minutes it takes Evan to complete one word search.

98/14 = 7

Evan can complete 7 word searches in 98 minutes.

He can search 7 words.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Evan 14 minutes to complete a word search

Evan can complete in 98 minutes

=98/14

=7

Hence, Evan can search 7 words in 98 minutes.

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Answer:

c 21 / 29

Step-by-step explanation:

with reference angle α

base (b) = 21

hypotenuse (h) = 29

Now

cos α = b/h

= 21/ 29

Hope it will help you :)

Answer:

The answer is C) 21/29

 The formula for cosine is: adjacent side divided by the hypotenuse (adj/hyp) so 21/29

 Hope it help and good luck!

Step-by-step explanation:

Answer:

8 nickels

Step-by-step explanation:

Total Amount of Money owned by Jason=$10

1 nickel =$0.05

1 dime=$0.10

1 quarter =$0.25

If there were twice as many dimes as Nickels, then:

Also, there were twice as many quarters as dimes.

Therefore:

0.1d+0.05n+0.25q=100

Substituting d=2n and q=2d into the above relations

0.1(2n)+0.05n+0.25(2d)=10

0.2n+0.05n+0.25(2(2n))=10

0.2n+0.05n+1n=10

1.25n=10

n=8

q=2d=2X16=32

d=2n=2X8=16

Jason had 8 nickels

Given:

The arc length for the given sector is 7π

The central angle for the given sector is θ

The radius of the circle is r.

We need to determine the formula for r in terms of θ

Formula for r:

The formula for r in terms of θ can be determined using the arc length formula,

[tex]S=r \theta[/tex]

Substituting the values, we have;

[tex]7 \pi =r \theta[/tex]

Dividing both sides by θ, we get;

[tex]\frac{7 \pi}{\theta}=r[/tex]

Thus, the formula for r in terms of θ is [tex]\frac{7 \pi}{\theta}[/tex]

Answer:

23

Step-by-step explanation:

-The length of the cubes side is (x-5) and the total surface area is 1944 sq units.

-We apply the formula for surface area and equate to solve for x:

[tex]A=6s^2\\\\1944=6(x-5)^2\\\\324=(x-5)^2\\\\324=x^2-10x+25[/tex]

#Equate to zero as below:

[tex]324=x^2-10x+25\\\\x^2-10x+25-324=0\\\\x^2-10x-299=0\\\\\# Quadratic \ Formula:\\\\x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\=\frac{10\pm\sqrt{(-10)^2-4(1\times-299)}}{2\times1}\\\\x_1=23, \ \ \ x_2=-13[/tex]

length dimensions are always positive.

Hence, the value of x is 23

Answer:

I am pretty sure it’s c

Step-by-step explanation:

Answer:

I believe it is x

Step-by-step explanation:

I was looking at the pyramid net and the only two that looked close where "w" and "x"  but "w" had flaws so that is why I believe the answer is "x".

Answer:

3 i believe i have not done this in long time

Step-by-step explanation:

Step 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Answer:

3

Step-by-step explanation:

The formula for the IQR is [tex]Q_{3} -Q_{1}[/tex] so you would subtract quartile 1 from quartile 3

11 - 8 = 3

IQR = 3

Answer: There is NO correlation between international flights and a flight being late.

Step-by-step explanation:

See attachment for rationale and step by step.

Answer:

Sophie

Step-by-step explanation:

For each runner, divide their time running by the laps they ran.

Piper: 8÷3≈2.7

Walker: 25÷10=2.5

Sophie: 3÷1=3

Sophie takes the longest time to run one lap, she is the slowest.

Answer:

Sophie is the slowest runner.

Step-by-step explanation:

We are given the various constant of proportionally s.

3:8, 10:25, & 1:3

Simplify each one by finding a least common factor, LCF, for the first side of such, and multiply the number that would be needed to get to such on both sides.

Thus,  30 laps in 80 seconds , 30 laps in 75 seconds , and 30 laps in 90 seconds.

As seen here, 30:90 is lowest, so Sophie is the slowest runner.

Hope this helped!

~Penny

Answer:

8/27

Step-by-step explanation:

The probability of rolling a number less than 3 three times in a row on a number cube (or die) is 1/27.

The subject of this question is probability in mathematics. A number cube, often referred to as a die, has six faces numbered 1 through 6. If we are looking for the probability of rolling a number less than 3, we are looking for the probability of rolling a 1 or a 2. Out of six possibilities, two are successful outcomes (1 and 2), so the probability of rolling a number less than 3 in one roll is 2 out of 6, or 1/3.

However, since the number cube is rolled three times, we have to consider this probability for each roll. In probability, when we want to find the likelihood of multiple events all occurring, we multiply the probabilities of each individual event. Therefore, the probability of rolling a number less than 3 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.

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Answer:

V = 113.04

Step-by-step explanation:

V=pi r^2 h

V= (3.14)(4)(9)

V=113.04

Volume of the cylinder is 113.14 cubic unit .

Let, radius of the cylinder = r unit

and height of the cylinder = h unit

∴ Volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit

Given, radius of the cylinder (h) = 9 unit

and given base radius (r) = 2 unit

∴ Volume of the given cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit

  = [tex]\frac{22}{7}[/tex]×[tex]2^{2}[/tex]×9 cubic unit     [ ∵[tex]\pi[/tex]=[tex]\frac{22}{7}[/tex]]

  = [tex]\frac{792}{7}[/tex] cubic unit

  = 113.14 cubic unit

113.14 cubic unit is the volume of the given cylinder .

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Answer:

The answer is 26

Step-by-step explanation:

You need to subtract 174 from itself and then too 200.Then you should get your answer.

Answer:

y = 26

Step-by-step explanation:

y + 174 = 200

    -174   -174

y = 26

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

X/5  +3 = 2

Subtract 3 from both sides:

x/5 +3-3=2-3

Simplify:

x/5=-1

Multiply both sides by 5:

5x/5=5(-1)

Simplify:

x= -5

Your Answer Is x= -5

plz mark me as brainliest :)

Answer:

.004 %

Step-by-step explanation:

3 divided by 0.05 is equal to 60.

Given that we need to find the value of 3 divided by 0.05,

To calculate 3 divided by 0.05, you can use the following formula:

3 ÷ 0.05 = [tex]\frac{3}{0.05}[/tex]

To divide by a decimal number like 0.05, you can multiply both the numerator and denominator by a power of 10 to eliminate the decimal point.

In this case, multiplying by 100 will work:

[tex]3 \div 0.05 = \frac{3}{0.05} \times\frac{100}{100}[/tex]

Now we can perform the division:

[tex]3 \div 0.05 = \frac{3\times 100}{0.05 \times100}[/tex]

Simplifying further:

[tex]3 \div 100 =[/tex] [tex]\frac{300}{5}[/tex]

Finally, performing the division:

300 / 5 = 60

Therefore, 3 divided by 0.05 is equal to 60.

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Answer: $4450.50

Step-by-step explanation:

Just guessed and got it right

The premium of the policy will be $4451.3.

A person or organisation and an insurance company enter into a contract known as insurance whereby the person or organisation pays the insurance company a premium in exchange for financial protection or reimbursement in the case of an unanticipated loss or event. Up to the limitations outlined in the insurance policy, the insurance company promises to pay for any covered losses or damages. Insurance can be used to guard against a range of hazards, such as liability, property damage, death, and injury.

The premium of the policy can be calculated as:

Premium = (Probability of death x Benefit amount) + Administrative costs

So,

Premium = (0.175452 x 25000) + 65

Premium = 4,386.3 + 65

Premium = $4,451.3.

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Answer:

256y^3/x^2

Step-by-step explanation:

Answer:

y= -2/3x - 2

Step-by-step explanation:

You can draw a triangle base on the line, y= -2, x =-6/2 --> x=-3

when x=0, y =-2

when y=0, -3x-2=0-->x=-2/3

Answer:

A. incorrect. He has to divide 76 by 19, instead of subtract 19 to 76.

B. This equation has one solution. v=4

Step-by-step explanation:

Hi, Martin’s answer is incorrect.

A. He has to divide 76 by 19, instead of subtract 19 to 76.

The correct steps are:

19v = 76  

Since 19 is multiplying the variable, to eliminate it we have to divide by 19.

v = 76/19

v = 4

B. This equation has one solution. It’s v=4

Feel free to ask for more if needed or if you did not understand something.

Answer:

86 degrees

Step-by-step explanation:

So what you do is that since a triangle is 180 degrees added together you first subtract 180-29 and then you get 151 and then you subtract 151-65 and that's how I got 86

The measure of angle ∠1 is equivalent to 94°.

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Given is that a triangle has angles 29° and 65°.

We know that -

Exterior angle is equal to Sum of two interior opposite angles.

Mathematically -

∠E = ∠I{1} + ∠I{2}

∠1 = 29° + 65°

∠1 = 94°

Therefore, the measure of angle ∠1 is equivalent to 94°.

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Answer:

$9.6

Step-by-step explanation:

tip $24×20% = 24×20/100 = 480/100 = $4.8

How much do they each pay ?

($24 - $4.8) : 2 = $19.2 : 2 = $9.6

Answer:

Step-by-step explanation:

This function I believe has one x intercept which is (-2/13,0)

Answer:

Step-by-step explanation:

Just did it

The question asks to compare the unit rates of two joggers, John and Tyrone. John's unit rate is 5 miles per hour, as indicated by the equation y=5x. Without Tyrone's graph data, a direct comparison cannot be made.

The subject of the question involves comparing unit rates of two joggers, which requires an understanding of linear equations and graph interpretations in mathematics. Based on the given information, John's jogging pace is defined by the linear equation y=5x, where y is the number of miles he jogs and x is the number of hours he jogs. This equation suggests that John's unit rate, or his speed, is 5 miles per hour. However, to compare John's unit rate to Tyrone's, we need additional information about the slope of Tyrone's graph, which represents his speed.

Without the specific graph or a defined equation for Tyrone's pace, we can't make a direct comparison. Typically, the unit rate for a jogger is found by taking the slope of the position vs. time graph, which involves dividing the change in position (the rise) by the change in time (the run). If the slope of Tyrone's graph were provided, we could determine his speed and compare it to John's.

Remember, the unit rate is a measure of how much of something occurs per unit of another thing. In this case, it's the speed at which each jogger moves per hour. If additional data from Tyrone's graph were given, we would look for a constant rate of change or identify two points on the graph to calculate the slope (speed) and thus compare the unit rates of the two joggers.

3.24 as a simplified fraction with 4 repeating is 146/45.

A fraction represents a part of a whole or, more generally, any number of equal parts.

Let x represent the value of the number.

So,

x= 3.2[tex]\bar4[/tex]

Multiplying both side by 10 we get

10x = 32.44...

Subtracting both above equations

10x -x = 32.44..-3.244..

9x= 29.2

x= 29.2/ 9

x= 146/45

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Final answer:

3.24 with the digit 4 repeating can be converted into the simplified fraction ⅔, which is equivalent to 3 ½.

Explanation:

The student is asking how to express the decimal 3.24 with the digit 4 repeating as a simplified fraction. The repeating decimal can be represented as 3.244444... or 3.24 bar.

To convert this repeating decimal to a fraction, we first denote x = 3.24. To eliminate the repeating part, we can multiply x by 100 to shift the decimal two places to the right, getting 100x = 324.44. Then, we subtract the original equation from this new equation (100x - x) to remove the repeating decimal. This results in 99x = 321, which simplifies to x = ⅔ or x = 3 ½ in fraction form. Therefore, 3.24 bar as a simplified fraction is ⅔.