Last Friday Kevin had $2. Over the weekend he found some money in his old jeans. He now has $10. How much money did he find?

Both triangles are similar.

Given that;

Triangle LMN has sides MN=42 and NL=52.5.

And, Triangle GHN has sides HN=32 and NG=40.

Hence, Ratio of MN and NL is,

MN / NL = 42 / 52.5 = 0.8

And, Ratio of HN and NG is,

HN / NG = 32 / 40 = 0.8

So, Both triangles are similar.

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Answer:

2000kkkkkkkkkkklllllk

Given:

Required:

To solve the system of equation.

Explanation:

Consider

From the two equations

Now

So (1,3) is thw solution.

Final Answer:

The solution is (1,3).

Answer:

1. False

2. False

3. True

4. False

Step-by-step explanation:

The correct hypothesis for the test made in this problem are given by:

H0: p = 0.25, Ha: p > 0.25.

At the null hypothesis, we test if the researcher is not correct, that is, if the proportion is of 25%, hence:

\(H_0: p = 0.25\)

At the alternative hypothesis, we test if there is enough evidence for the researcher's claim, that is, if the proportion is greater than 25%, hence:

\(H_a: p > 0.25\)

Hence the correct option is:

H0: p = 0.25, Ha: p > 0.25

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Answer:  Sum (b) = -4

               Product (c) = 4

Step-by-step explanation:

In the quadratic equation ax² + bx + c

 2x² - 8x + 8 = 0

2(x² - 4x + 4 = 0)

       ↓        ↓

     b= -4   c= 4

Answer:

Step-by-step explanation:

B

Answer:

C

Step-by-step explanation:

$232.94 * 9.25% = 21.54694

21.54694 rounds up to 21.55

21.55/12 = 1.7958333333

1.7958333333 rounds up to 1.80

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

This is a late answer but other people might need it :)

I put B as my answer and I got it wrong, I tried again and put C and got it right.

Answer:

The answer is B. 8 miles

Step-by-step explanation:

First you take the original route length and subtract the shortcut route length from that. Next, since the problem has the key word, Approximately, we would find the closest answer to our difference.

28.3 - 19.7 = 8.6

8.6 = 8

8 miles

Answer:

(6,5), (3,-4) either one of those...

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

Answer:

C) 84 cm2

Step-by-step explanation:

\(A=\frac{a+b}{2} h\\\\A=\frac{8+16}{2} *7\\\\A=\frac{24}{2} *7\\\\A=12*7\\A=84\)

Answer:

c

Step-by-step explanation:

Answer:

I would say its 640 seconds sorry if I'm wrong

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Answer:

\(A=4.5\)

Step-by-step explanation:

The area between two curves over the interval \([a,b]\) is \(A=\int\limits^b_a {f(x)-g(x)} \, dx\) where \(f(x)\) is the upper function and \(g(x)\) is the lower function.

Therefore:

\(A=\int\limits^3_0 {3x-x^2} \, dx\)

\(A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3\)

\(A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}]\)

\(A=\frac{3}{2}(9)-\frac{27}{3}\)

\(A=\frac{27}{2}-\frac{27}{3}\)

\(A=\frac{9}{2}\)

\(A=4.5\)

So, the area between \(f(x)=3x\) and \(g(x)=x^2\) on the interval \((0,3]\) is \(4.5\) square units.

Answer:

x = 30

EXPLANATION:

Move all terms not containing x to the right side of the equation.

Subtract

15 from 45 then you get your final answer x = 30

Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

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Answer:

youd get 0.25 off and yes you would save 25 cents the difference would be 2.25 dollars instead of 2.50

Step-by-step explanation:

im so so sorry if im wrong so so sorry

Factors related to cause and effect is not one of the things the relative frequency (Rf) of z-scores allows us to calculate for corresponding raw scores. The correct answer is a) Factors related to cause and effect.

The relative frequency (Rf) of z-scores is a statistical tool that calculates the probability of obtaining a certain raw score or a score more extreme than that. It allows for inferences to be made about the population from which the sample was drawn and for comparisons to be made between variables. However, Rf does not provide information on factors related to cause and effect, as it cannot establish cause-and-effect relationships between variables. It is useful in analyzing data in the context of a normal distribution and calculating the frequency of occurrence of certain scores in a given population. Therefore the correct answer is a) Factors related to cause and effect.

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Answer:

3.75

Step-by-step explanation:

-0.8(q-0.5)=-2.6

-0.8q+0.4=-2.6

-0.8q=-2.6-0.4

-0.8q=-3

0.8q=3

q=3/0.8

q=3.75

Answer:

f = 3cm g = 16cm

Step-by-step explanation:

Area of ABCE = 60cm²

Area of ABCD = 48cm²

60 - 48 = 12

Area of ADE = 12cm²

A to D = 3cm

f = 3cm

g = 16cm

The average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations, have been computed.

To calculate the average sales quantities for the year before and after the given year, we need the following information: customer names, product names, quarters (1-4), and years. Let's assume we have a dataset containing this information.

1. Year before: To calculate the average sales quantity for the year before the given year, we subtract 1 from the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

2. Year after: Similarly, to calculate the average sales quantity for the year after the given year, we add 1 to the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

By following the above steps, we have computed the average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations. This information can provide valuable insights into sales trends and help businesses make informed decisions regarding inventory management, customer targeting, and forecasting.

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The length of the dotted line is 13.2units in the rectangle diagram.

Pythagoras' theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs). This can be written as:

c² = a² + b².

In the given question,

The rectangle has the breath of 7 units.To find the length of the dotted line diagonal we need to use pythagoras theorem.

First we need to find the length of the rectangle:

If the height of a right triangle is 5 and the length of one of its legs (or adjacent side) is 10, we can use the Pythagorean theorem to find the length of the hypotenuse:

c²= a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs (or sides adjacent to the right angle). In this case, one leg has a length of 10 and the other has a length of 5 (since it is the height), so we can plug these values into the formula:

c²= 10² + 5²

c² = 100 + 25

c² = 125

To find c, we take the square root of both sides of the equation:

c = √(125)

Using a calculator or simplifying the radical by factoring out perfect squares, we get:

c ≈ 11.2 (rounded to the nearest tenth)

Therefore, the length of the hypotenuse is approximately 11.2 units.

Now we know that the length of the rectangle is 11.3 units.

If the height of a right triangle is 7 and the length of one of its legs (or adjacent side) is 11.2, we can use the Pythagorean theorem to find the length of the hypotenuse:

c² = a² + b²

c² = 11.2² + 7²

c² = 125.44 + 49

c² = 174.44

To find c, we take the square root of both sides of the equation:

c = √(174.44)

Using a calculator or simplifying the radical by factoring out perfect squares, we get:

c ≈ 13.2 (rounded to the nearest tenth)

Therefore, the length of the hypotenuse is approximately 13.2 units.

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The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

using the following statements: p: There are 14 inches in 1 foot.

q: There are 3 feet in 1 yard.

Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.

Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.

Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

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Answer:

overestimate

Step-by-step explanation:

The actual numbers are 4.5 and 11.91.

She used 5, which is greater than 4.5 and 12 which is grater than 11.91, so her estimate is an overestimate.

Answer: overestimate

$4.20 is received by Tina.

To calculate the change Tina received, we need to determine the total cost of her order, including the sales tax, and then subtract it from the amount she paid.

The cost of two glazed donuts would be 2 * $0.79 = $1.58.

The cost of three iced donuts would be 3 * $0.90 = $2.70.

The cost of one filled donut would be 1 * $1.09 = $1.09.

The subtotal of Tina's order would be $1.58 + $2.70 + $1.09 = $5.37.

To calculate the total cost including sales tax, we add the sales tax amount to the subtotal:

Total cost = Subtotal + Sales tax = $5.37 + $0.43 = $5.80.

Since Tina paid with a $10 bill, the change she received would be:

Change = Amount paid - Total cost = $10 - $5.80 = $4.20.

Therefore, Tina received $4.20 in change.

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Complete question:

Answer:

The first step is to distribute.

Step-by-step explanation:

2(4x + 2)= 12

8x + 4 = 12

You distribute the 2 to 4x and 2.

1200 cards

All measurements should be taken in centimeters

Calculate the area of large rectangular card:

Calculate the area of each small cards:

Divide the area of large card by area of small card

Number of small cards: 1200 cards

For bigger rectangle:-

Area:-

For smaller rectangle

Area:-

Total cards:-

The amount of money Company A charge more for x miles,  35 - 0.05x dollars

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

Let's call the number of miles the family wants to travel "x".

The cost for Company A is $30.50 plus 8 cents per mile, so the total cost for Company A is,

30.50 + 0.08x.

The cost for Company B is $65.50 plus 13 cents per mile, so the total cost for Company B is,

65.50 + 0.13x.

To find out how much more Company A charges, we can subtract the cost for Company B from the cost for Company A:

= (30.50 + 0.08x) - (65.50 + 0.13x)

= 35 - 0.05x

So, Company A charges 35 - 0.05x dollars more than Company B for x miles.

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