I'm going to pick a number between 0 and 10 inclusive, multiply it by 5, add 7 to the result, multiply that sum by 2, then pick a number between 0 and 10 to add to my product, then subtract 6. My result is 45. What is the product of the two numbers I picked?

Answers

Answer 1

We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.

First, you pick a number between 0 and 10, let's say that the number is N.

Then multiply it by 5 and add 7, so we get:

(5*N + 7)

Now we multiply this by 2

2*(5*N + 7)

Now we add another number between 0 and 10, let's call it M.

We need to add that to the product, and then subtract 6, and that will be equal to 45.

2*(5*N + 7) + M - 6 = 45

Now let's simplify the expression:

2*(5*N + 7) + M = 45 + 6 = 51

10*N + 14 + M = 51

10*N + M = 51 - 14 = 37

10*N + M = 37

With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]

So the only two solutions are:

N = 3 and M = 7

such that:

10*3 + 7 = 30 + 7 = 37

So the two numbers you picked are 3 and 7.

If you want to learn more, you can read:

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Related Questions

Alfred has made 8 cookies to give to his friends. Since he has 15 friends that he wants to give cookies to, how many more cookies does he need to make? Define a variable, write an equation, and solve your equation algebraically. Check your solution.

Answers

I wrote notes on this question a while ago

C=cookies to make

C+8=15

C+8-8+15-8

C+0=7

C=7

Check:7+8=15

15=15

10% of $70 = what is the answer i do not now it.

Answers

Answer:

10% 0f 70 is 7

Step-by-step explanation:

70÷10=7

10%=7

Is 1.05 greater than or less than 1.3

Answers

1.05 is less than 1.3 because the value in the tenths place in 1.05 is less than the one that’s in 1.3!!

The larger number is obtained as 1.3.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

To know more about decimal number click on,

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#SPJ2

A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?

Answers

The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).

Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).

If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have  (2, 13),(2, 7), and (-6,7).

If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).

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-5y+8=-7
y = 3
check your answer

Answers

-5y = (-7) - 8

-5y = -15

-5y/ -5 = -15 / -5


y = 3

The height of a parallelogram is 6[tex]a^{2}[/tex][tex]b^{5}[/tex] and the base of a parallelogram is 4[tex]a^{3}[/tex][tex]b^{4}[/tex] Find the area of the parallelogram using the formula A = bh

Answers

[tex]\text{Area of parallelogram} = \text{Base}~ \times~\text{Height} = (4a^3b^4)(6a^2 b^5)=24a^5 b^9[/tex]

simplify
21m^2−122m+112/9m^2−196

Answers

Answer:

3m-8/7m+14

Step-by-step explanation:

Help me plsssssss jdhdhdhdud

Answers

Answer:

5/2

Step-by-step explanation:

c (constant of proportionality) = y/x = 5/2 in this case

2000 tennis balls are divided into packs of 3 how many more tennis balls are needed to make another full pack

Answers

Answer:

664

Step-by-step explanation:

666 balls to make a full pack

666x3=1998

6000-1998=2

666-2=664

PLEASE HELP ME!!! ASAP SHOW YOUR WORK!!! Given cos x =√15/4 and 90°< x 180°, find the exact value for cos 2x​

Answers

Answer:

x=34 because you simplify it and then take 45 and at it to it

Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5

Answers

Answer:

I think x=  -1

Step-by-step explanation:

Johnny Rockefeller had a bad credit rating and went to a local cash center. He took out a $100.00 loan payable in two weeks for $107.50. What is the percent of interest paid on this loan?

Answers

Answer:

7.5% Because out of 100 parts there are an additional 7.5 of them. Good luck mate.

87 is 12.5% of what number?

Answers

Answer:

696

Step-by-step explanation:

Plss answer I give you branlistb​

Answers

1) 30
2) 132
3) 1
4) 4
5) 12

4 friends share 5 pizzas equally how much pizza did each friend get

Answers

Answer:

10

Step-by-step explanation:

deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40

9.2 less than 3 times a number is the same as 21 1/4

Answers

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

10.15

Step-by-step explanation:

I took the K12 test

1
Show that the matrix C = -2
- 2 3
4-5
--5 6
is symmetric.
3

Answers

-4-5 to the matrix 54 can symmetric to 3 aswell as other numbers

need help with my math please <3

Answers

Answer:

wth that's hard I can't answer that

The equation of two functions f(x) And g(x) are typed into a graphing calculator to see both graphs on the same coordinate plane. The graphs shown below represents the two functions.
Which are approximate solutions of the equation f(x)=g(x) Select all that apply.
A. 6
B. 0.7
C. 0
D. 4.6

Answers

Answer:

The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g

10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please

Answers

you have the ratio of natural:synthetic so;

3:4

3+4=7

357/7=51

3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

For one English test jason correctly answered 22 questions these correct answers gave him a percent score of 50% In total how many questions were on this English test

Answers

There had to of been 40 questions or 50

HELP QUICK!!! I Really need the answer l'll give you ten points.

Answers

45 because there is a three on the top so 15 times 3 is 45 :)
15 x 31 = 465 this is the greatest number because 15 x 32 = 480

Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours

my graph is the y axis is 1000 and the x axis is 20

Answers

Hi there!

We can begin by writing an equation for each company.

Let x = number of hours

Company A:

y = 250 + 50x (hourly rate is $50)

Company B:

y = 150 + 75x (hourly rate is $75)

We can set the two equations equal to each other to find their intersection point:

250 + 50x = 150 + 75x

Solve for x:

250 - 150 = 75x - 50x

100 = 25x

x = 4

Solve for y by plugging x into an equation:

y = 150 + 75(4) = 150 + 300 = 450

Thus, the lines intersect at (4, 450)

4 hours ⇒ $450 dollars

how to do surface area

Answers

Answer:

Step-by-step explanation:

Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Jenna's basketball team is behind by eleven points. If their team makes a three-point shot, they will need to score
another
polnts to tie the game.
zero
fourteen
eight
eleven

Answers

Answer:

8

Step-by-step explanation:

11-3=8

11-3=8 must subtract for anser

what is 83\100 in decimal form

Answers

0.83 is the answer because when you divide a number by 100 you move the invisible decimal place 2 spaces to the left:
83 = 83.0 When you move the decimal place two places to the left you get: 0.83

Hope this helps!

What is the weight of a dry substance in 150 g of a 3% substance solution?

Answers

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

Which equation is an identity?
A)
3x + 4 = 5x - 1
B)
2x + 3 = 2x + 4 - 1
C)
5x = 10
D)
- 3x + 1 = -3x - 5

Answers

Answer:

B) 2x + 3 = 2x + 4 - 1

Step-by-step explanation:

A) 3x + 4 = 5x - 1

2x = 5

x = 2/5

B) 2x + 3 = 2x + 3

True

C) 5x = 10

x = 2

D) -3x + 1 = -3x - 5

False

Use a table to find the solution to the situation.
Stan needs a mime. Mime A is offering his services for an initial $150 in addition to $25 per hour. Mime B
is offering her services for an initial $45 in addition to $40 per hour. When will the two mimes charge the
same amount of money?
The two mimes will charge the same amount of money after
hours.

Answers

Answer:

The answer is 3 hours

Step-by-step explanation:

U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above

Answers

Answer:

34

Step-by-step explanation:

40 questions times 0.85 equals 34

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