the sum of three numbers is 56. the difference of the larges and smallest is 44 and the sum of the two smaller numbers is 16. what are the numbers?

Explanation:

Addition Property Of Equality.

We can see the person adds 3/4 to each sides.

This action is to keep the equation equal but also eliminate the -3/4 on the left side.

Let Jeff's age = x and Ben's age = x - 9.

(x + 10) + (x -9 + 10) = 67

x + 10 + x + 1 = 67

2x + 11 = 67

2x = 56

x = 28

x - 9 = 28 - 9 = 19

Jeff is 28 years old, and Ben is 19 years old.

Answer

Q. 37)      E. 50

Q. 38)     A.   28

Step-by-step explanation:

For   37)    the answer is   E  .  50  

While in 38)  the values of the angles are wrong .    

Angle  QPR must be  36   and angle  RSQ  must be  64  .  The answer is  A.  28

Answer:

xxyy2578

Step-by-step explanation:

Answer:

the answer is letter C.

I hope this can help you!

Answer: The function c(p) represents the cost for (P) people to attend the movies.

The function t(m) represents the average high temperature for a given number of months.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

count

The number of students measured in this sample is 18.

The number of students measured is the number of heights that were acquired for the sample.

Looking at the question, the number of heights acquired were 18 which means that there were 18 students.

Knowing the number of students is important as it can help you calculate things such as mean:

Mean = Sum of heights / Number of students

= (75 + 72 + 72 + 73 + 74 + 65 + 69 + 74 + 70 + 70 + 71 + 75 + 71 + 75 + 69 + 75 + 78 + 70) / 18

= 72.11

In conclusion, the number of students measured is 18.

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Answer:

Answer presented in picture attachment

The scientific notation of the given number is 1.24×10⁻⁶.

The given number is 0.00000124.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 0.00000124=1.24×10⁻⁶.

Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.

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Answer:

Start at the number that is being subtracted, in this case it's -6.  When a negative number is subtracted from a negative number, the two are added.  Therefore, move left from -6 on the number to add on the -2 1/2, which should lead you to -8 1/2 (if you do it right lol :) )

boom :)

The value of ABP is 120°

The value of PQX is 60°

A hexagon, also known as a sexagon, is a six-sided polygon that forms the shape of a cube in geometry. Any simple hexagon has 720° of internal angles in total.

To find their values:

Recall that in a regular hexagon, (6-2) x 180°/ 6 = 120°

Also, (5-2) x 180°/5 = 108°

With these values, we would find that the value of ABP is 120°

<PQX = 120°/2 = 60°

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Answer:

1.6

Step-by-step explanation:

7 and three tenths = 7 + 3/10 = 7.3

5 and seven tenths = 5 + 7/10 = 5.7

7.3-5.7 = 1.6 or can be written as 1 and six tenths, or 1 and three fifths.

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:26

Step-by-step explanation:

The reason i got 26:

-we substitute the letters(variables) and have 52=(k)2

but what is k? k is y divided by x (just like y is k times x)

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

Hello there! I believe b or d

The value of 3.5 divided by 85 will be 0.4118.

Division is one of the four basic arithmetic operations, or the process by which two numbers are added together to produce a new number. Multiplication, addition, and subtraction make up the remaining operations.

Division's opposite is multiplication. Dividend Divisor = Quotient + Remainder is a formula for calculating the division of two numbers.

The dividend in this situation refers to the number that is being divided. The divisor is the number that divides the number (dividend) into equal parts.

In this case, 3.5 ÷ 85 = 0.4118. This can be computed through the use of a calculator.

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Answer:

Step-by-step explanation:

x=2

X+4= 6

Move + 4 to the other side to get X by itself

Sign changes from +4 to -4

X+4-4=6-4

X=6-4

X= 2

Answer: X= 2

Answer:

For the first one =5.29150262

Step-by-step explanation:

8 squared - 6 squared =64-36=28

square root of 28=5.29150262

Answer:

Im not sure what equation your doing but lets use 3x=15 as an example

Step-by-step explanation:

3x=15

this tells us that 3 times an unknown value is 15.

So we must isolate that value by doing the opposite of multiplication which is division. So we divide 3x by 3 so can be left x

so 3x divided by 3 is x. Whatever we do to one side we do to the next (following the multiplication/division property of equality)

So 15/3 is 5.

Therefore: x = 5

We can double check this statement by saying 3 times 5 is 15 which proves that this statement is true.

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Answer: 1/2 i think?

The probability of not selecting any of the correct six integers in a lottery is 0.18. This is calculated by subtracting the probability of selecting all the correct integers from 1, and the probability of selecting all the correct integers is the product of the probabilities of selecting each of the integers.

The probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers is 0.18. To calculate this probability, we must first find the probability of selecting all the correct integers. This is done by calculating the probability of selecting each of the integers individually and multiplying them together. For example, the probability of selecting 6 is 1/5, since there are five positive integers not exceeding 6. The probability of selecting 8 is 2/5, since there are five positive integers not exceeding 8 and two of them are 8. The probability of selecting 9 is 3/5, since there are five positive integers not exceeding 9 and three of them are 9. The probability of selecting 10 is 4/5, since there are five  not exceeding 10 and four of them are 10. The probability of selecting 11 is 5/5, since there are five positive integers not exceeding 11 and five of them are 11

Probability of selecting all the correct integer

= (1/5)*(2/5)*(3/5)*(4/5)*(5/5)

= 0.18

Probability of selecting none of the correct integers

= 1 - 0.18 = 0.18

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The complete question is

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)Given: 6, 8, 9, 10, 11

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

LETTER A

Step-by-step explanation:

I think it's correct

The correct inequality is : (d) x - 3y < 5, as the dotted line passing through (5,0) and (-4,-3) with shading toward the origin indicates that the solution lies below this line.

The line passing through (5,0) and (-4,-3) is dotted, indicating that the boundary is not included in the solution set. The shaded part toward the origin represents the area where the inequality holds true.

In Option(d), the coefficient of "x" is positive, and that of y is negative, causing the line to slope downward to the right. This aligns with the given points and the shaded region, which makes it the correct representation of the graph described.

Therefore, the correct option is (d).

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Answer:

1 of 9

Step-by-step explanation:

hope it helps