After school, Marcus ran 3.2 km, and Cindy ran 1.95 km. Who ran farther? How much farther?

Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

The product that is represented with the algebra tiles is (2x + 2)(2x + 3)

From the question, we have the following parameters that can be used in our computation:

The algebra tiles

Representing the red tile with digit 1

So, we have

Vertical = 2x + 1 + 1 = 2x + 2

Horizontal = 2x + 1 + 1 + 1 = 2x + 3

The product that is represented with the algebra tiles is then calculated as

Product = Vertical * Horizontal

So, we have

Product = (2x + 2)(2x + 3)

Hence, the product is (2x + 2)(2x + 3)

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Answer:

42 sweets

Step-by-step explanation:

28 / 2 = 14 x 3 = 42

Hope that helps!

Answer:

y=x-7

Step-by-step explanation:

y=mx+b

(-3)=(1)(4)+b

-3=4+b

-3=4+b

-4=-4+b

-7=b

then y=1x-7

then simplify and it gives you y=x-7

The quotient with the decimal point placed correctly is 34.6.

Estimating the division of 100.34 by 2.9:

We can round 100.34 to the nearest whole number, which is 100, and round 2.9 to the nearest whole number, which is 3.

Dividing 100 by 3 gives an estimated quotient of 33.

Comparing the estimate to the given quotient:

The given quotient is 346, which is significantly larger than our estimate of 33.

To place the decimal point in the quotient, we need to determine the difference between the given quotient and our estimate. In this case, the difference is four places.

Correcting the quotient:

We can place the decimal point four places to the left in the given quotient 346 to match our estimate of 33. This gives us the corrected quotient:

100.34 ÷ 2.9 ≈ 34.6

So, the quotient with the decimal point placed correctly is 34.6.

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Answer:

arc = 3.75π cm

Step-by-step explanation:

the central angle subtended by the arc is congruent to the arc , that is 45°

the arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × \(\frac{45}{360}\) ( r is the radius )

    = 2π × 15 × \(\frac{1}{8}\)

    = 30π × \(\frac{1}{8}\)

    = \(\frac{30}{8}\) π

   = \(\frac{15}{4}\) π = 3.75π cm

The selling price is $129000

The selling price of an item is the price at which it is sold.

Given that 10% of selling price is the commission.

So the family gets 90% of the selling price, which is given as $116,100.

i.e (90/100) * Selling Price = 116100

Therefore, the selling price is  (116100*100)/90 = 129000.

Hence, the family sell the house for the price of  $129,000

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Answer:

ayeee yooooo my guy someone is not gonna read the whole book for 5 points.

Step-by-step explanation:

i'm sorry but did you read to question?? you sure you did?

Answer:

45 is the Answer

Step-by-step explanation:

Hope its helpful

Answer:

B. y = 2x + 3

good luck, i hope this helps :)

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Answer:

2x + 3y + 50

Step-by-step explanation:

The equation for standard form looks like:

Ax + By + C

Simply plug in the given values to their corresponding variables.

($2)x + ($3)y + $50

or

2x + 3y + 50

Answer:

r = 1

Step-by-step explanation:

(6, -3) ; (14, r)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

\(\frac{r-[-3]}{14-6}=\frac{1}{2}\\\\\frac{r + 3 }{8} = \frac{1}{2}\\\)

Cross multiply,

(r + 3)*2 = 1*8

2r + 6  = 8             {Subtract 6 from both sides }

       2r = 8 - 6

       2r = 2          {divide both sides by 2}

        r = 2/2

r = 1

Answer:

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

Given:

Rita earns scores of 83, 87, 85, 88, and 90 on her five-chapter tests for a certain class.

And a grade of 82 on the class project.

First, we will find the average of the scores of the five tests

The overall average for the course is computed as follows:

30% of the course grade ⇒ Rita get 86.6

30% of project grade ⇒ Rita get 82

40% of the final exam ⇒ let Rita get x

We will find the value of x provided that Rita will earn a "B" score

a "B" is an overall score greater than or equal to 80, but less than 90

So, we will find (x) as follows:

Solve the inequality to find (x):

And the upper limit will be as follows:

Solve to find (x):

So, the answer will be:

To obtain a "B", Rita needs to score between 73.55 and 98.55

Answer:

√29

Step-by-step explanation:

This is due to A^2+b^2=c^2. you know that side a and b are 2 and 5, so it beocmes 25+4/=c^2, which means that 29=c^2, and you root it to get rid of the power of 2, so you obtain c=√29

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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Answer:

R=V/I

Step-by-step explanation:

Divide V by I to isolate R on one side.

Answer:

R=V/I

Step-by-step explanation:

Because resistance formula is v/i

The slope of the line on the graph is - 2

The given parameter is the line on the graph

From the above graph, we have the following points

(x₁, y₁) = (0, 0)

(x₂, y₂) = (3, -6)

The slope of a line can be calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, -6)

Substitute the known values in the above equation

So, we have the following equation

Slope = (-6 - 0)/(3 -0)

Evaluate the quotient

Slope = -2

Hence, the slope is -2

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EXPLANATION

In order to get the congruency, we need to match both sides:

Substituting terms:

Subtracting -3h to both sides:

Subtracting like terms:

Adding +5 to both sides:

In conclusion, the appropriate expression is the Student C

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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The count of numbers in the list a, a+1, a+2.... b is b - a + 1

The list of numbers is given as:

a, a+1, a+2.... b

From the above list, we can see that the numbers are consecutive numbers.

This means that, the count of numbers in the list is

Count = Highest - Least + 1

Where

Highest = b

Least = a

Substitute the known values in the above equation

Count = b - a + 1

Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1

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Answer:

x₁ = 179 , x₂ = 17 , x₃ = - 3

Step-by-step explanation:

x₁ - 9x₂ + 7x₃ = 5 → (1)

      x₂ + 7x₃ = - 4 → (2)

              x₃ = - 3

substitute x₃ = - 3 into (2) and solve for x₂

x₂ + 7(- 3) = - 4

x₂ - 21 = - 4 ( add 21 to both sides )

x₂ = 17

substitute x₂ = 17 and x₃ = - 3 into (1) and solve for x₁

x₁ - 9(17) + 7(- 3) = 5

x₁ - 153 - 21 = 5

x₁ - 174 = 5 ( add 174 to both sides )

x₁ = 179

solution is x₁ = 179 , x₂ = 17 , x₃ = - 3

Answer: The solution is x>2.

Step-by-step explanation: Move all terms not containing x to the right aide of the inequality. I have attached a picture of the graph as well ☆

Answer:

m=3

Step-by-step explanation:

slope of the line is 3

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