The sum of two numbers is 73. When the smaller number is subtracted from twice the greater number, the result is 50. Find the numbers. Please use a let statment and an algebraic solution. Thanks! :)

Answer:

The expression equivalent to -3( m + 5) is

c) - 3m - 15

Step-by-step explanation:

1) Popcorn unit price: 17.57/7 = $2.51

2.51 x 3 = 7.53

Three bags of popcorn would cost $7.53.

2) Old games unit price: 73.10/5 = 14.62

14.62 x 6 = 87.72

If they sold six games they would've made $87.72.

3) Lollipop unit price: 20.51/7 = %2.93

2.39 x 4 = 11.72

Four lollipops would cost $11.72

4) Hotdogs unit price: 82.86/3 = $27.42

Hamburgers unit price: 55.12/2 $27.56

Hotdogs have the lower unit price. $27.42 < $27.56

5) Packs of paper unit price: 12.74/7 = $1.82

1.82 x 2 = 3.64

Two packs of paper would cost $3.64

6) Pair of shoes unit price: 49.32/4 = $12.33

12.33 x 6 = $73.98

Six pairs of shoes would cost $73.98

7) Brand A unit price: 71.28/6 = $11.88

Brand B unit price: 59.15/5 = $11.83

Brand B has the cheaper price. $11.83 < $11.88

8) Pounds of seeds unit price: 37.62/2 = $18.81

18.81 x 6 = $112.86

Six pounds of seeds would cost $112.86

9) Red Grapes unit price: .82

Green Grapes unit price: .84

Green grapes are more expensive. .84 > .82

10) Book Store unit price : 21.69/3 = $7.23

Online unit price: 14.28/2 = $7.14

Online has a lower unit price. $7.14 < $7.23

Answer:

x = 3.7

Step-by-step explanation:

10.5 + 2.8 + 9 + x = 26

22.3 + x = 26

-22.3 -22.3

x =3.7

Answer

3.7

Step-by-step explanation:

10.5 + 9= 19.5 + 2.8 = 22.3

then subtract 26 by 22.3

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or \(\frac{3}{9}\), were quarters.

Simplifying this fraction, we get \(\frac{1}{3}\) of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then \(\bold{\frac{1}{3}}\) of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find \(\bold{\frac{1}{3}}\) of 15:

\(\large \frac{1}{3} \times 15 = 5\)

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

_______________________________________________________

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Answer: 18

Step-by-step explanation:

x = last month

y = this month

y = 2x + 7

y = 43

43 = 2x + 7

43 - 7 = 2x

36 = 2x

36/2 = x

18 = x <== he sold 18 gym memberships last month

The instructions that you would include in your explanation are:

Identify the output.

Create a table for four input values.

Plot the points from the table.

In the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.

Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.

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Answer:1 to 2

             2 to 4

Step-by-step explanation:

Answer:

1. all side must intersect exactly two others sides but only at their endpoints

2. The sides must be non collinear and have a common endpoint

3. All sides must be a line segment

Answer:

920000 or 9.2 x 10⁵

Step-by-step explanation:

Given:

Given this we want to find :

To get this we must divide the time it takes Pluto to orbit the sun by the amount of time it takes the sun to orbit the milky way

In other words our answer = 2.3 x 10⁸ / 2.5 x 10² = 920000

We can then convert the outputted number into scientific notation

In doing so we get 9.2 x 10⁵

Its important to note that the coefficient (9.2) must have 2 significant figures as the given numbers do.

All we did to convert to scientific notation is add a decimal in between the two sig figs and multiply (9.2) by 10 to the power of how many decimal places we moved over to get to 9.2. Here we moved the decimal point 5 places from 920000. to get to 9.2 therefore the answer in scientific notation would be 9.2 x 10⁵

(You can easily calculate this by plugging this into a calculator)

The absolute deviation of 16 in the given data set, {19, 16, 4, 9, 7}, is: B. 5.

The absolute deviation of a data point in a data set, is the distance of that data point from the mean of the data set.

Find the mean of the data set:

Mean = (19 + 16 + 4 + 9 + 7)/5 = 55/5

Mean = 11

16 - 11 = 5

Therefore, the absolute deviation of 16 is: B. 5.

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Answer:

11

Step-by-step explanation:

I took the k12 test hope this helps! :)

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer: 1600 square feet (Brandon)

3600 square feet (Marta)

Step-by-step explanation:

4:9

4+9 =13

5200/13 = 400

400 x 4 = 1600

400 x 9 = 3600

Answer:

2^-3

Step-by-step explanation:

Answer: The width of the court needs to be 5.32 inches to maintain proper proportions.

Step-by-step explanation: We make the length of court 10 inches. Now let us convert 94 feet in the ratio of 10 inches. We can convert 94 feet into 10 inches by dividing the number 94 with 9.4

Therefore

Thus, divide 50 feet with 9.4 feet. So that you can maintain proper proportion in drawing.

Hence, the width of the court needs to be 5.32 inches to maintain proper proportions.

Answer:

it's seven

Step-by-step explanation:

the answer is seven.

Answer:

26,910 meters more

Step-by-step explanation:

29.9m x 1000 = 29,900

29.9m x 100 = 2,990

29,900-2,990=26,910 meters

The answer is A. I hope this helps, have a great day!

Answer:

  (d)  x = -3/4; y = -3 1/2

Step-by-step explanation:

You are asked for the coordinates of the point of intersection of the lines on the graph. This requires interpolation, because not all grid lines are marked, and the point is not on any grid line.

The idea of "interpolation" is figuring the value of a point that lies between points whose values are known. The answer choices here suggest that we are to interpolate to the nearest 1/4 unit. This requires that you mentally (or actually) divide the space between grid lines into 4 equal sections, and figure where the point lies relative to those divisions.

In the case of the x-coordinate, the first grid line left of the y-axis is not marked, but we notice it lies halfway between x=0 and x=-2. That means we can safely assume that the unmarked vertical grid line has a value of x=-1.

horizontal coordinate

The location of the point of intersection of the two lines is horizontally closer to the -1 (unmarked) grid line than it is to the y-axis. Its x-value will be between -1 and 0. The answer choices tell us it is -3/4, consistent with it being about 3/4 of the distance toward -1 from 0.

  x = -3/4

vertical coordinate

The location of the point of intersection of the two lines is vertically about halfway between -3 and -4. The answer choices tell us it is -3 1/2.

  y = -3 1/2

Answer:

A and B

Step-by-step explanation:

QUESTION A:

Find the GCD (or HCF) of numerator and denominator

GCD of 15 and 30 is 15

Divide both the numerator and denominator by the GCD

15 ÷ 15

30 ÷ 15

Reduced fraction:

1/2

Therefore, 15/30 simplified to lowest terms is 1/2.

Thus, option d is your answer

QUESTION B:

Find the GCD (or HCF) of numerator and denominator

GCD of 12 and 3 is 3

Divide both the numerator and denominator by the GCD

12 ÷ 3

3 ÷ 3

Reduced fraction:

4/1

Therefore, 12/3 simplified to lowest terms is 4/1 or 1/4.

Thus option a is your answer

Answer:

this is the simplest form

Step-by-step explanation:

since there is a variable in the fraction, you can't simplify it any further until we know that term.

Answer:

-7y/2

Step-by-step explanation:

-7y/2 cannot be simplified any further as there are no common factors of -7y and 2

Answer: 1.3%

Step-by-step explanation:

The percentage decrease can be found using the formula:

percentage decrease = [(original value - new value) / original value] x 100%

Substituting the given values:

percentage decrease = [(9.79 - 9.66) / 9.79] x 100%

percentage decrease = 1.33%

Rounding to the nearest tenth of a percent, the percentage decrease is 1.3%.

Answer: hope this helps ♡

The percentage decrease is 1.33%.

Step-by-step explanation:

Percentage decrease: dividing the value by the total value and then multiplying it by 100

Total value: $9.79          Value: $9.79 - $9.66 = 0.13

\(\frac{0.13*100}{9.79}\)  =

(0.13 × 100) ÷ 9.79 =

13 ÷ 9.79 =

1.32788559755 ≈ 1.33%

Answer:

16/63

Step-by-step explanation:

Given problem,

→ (8/9) × (2/7)

Let's solve the problem,

→ (8/9) × (2/7)

→ (8 × 2)/(9 × 7)

→ 16/63

Hence, answer is 16/63.

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

  9641 + 9641 = 19282

Step-by-step explanation:

You want to assign a different digit to each of the letters H, A, L, T, E, R such that ...

  HALT + HALT = THERE

The T in the most significant digit of the sum must be T = 1, because a carry from the sum of two digits cannot exceed 1. That means E = 2. In order for H+H = TH, we must have ...

  H + H + 1 = 10 + H

  H = 9

In order for there to be a carry into the 4th column (from the right), the value of A must be 5 more than the value of T:

  A = 6

Since E in the third sum digit is even, there can be no carry from the sum L +L = R. This leaves R an even digit not 0, 2, or 6. It cannot be 4, because that would require L=2, but we already have E=2. This leaves R = 8 and L = 4.

The sum is ...

  HALT +HALT = THERE   ⇒   9641 +9641 = 19282

The value of THERE is 19282.

Answer:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Step-by-step explanation: