The sum of two numbers is 46. The larger number is two less than three times the smaller number. Find the numbers.‍♀️

Answers

Answer 1

Answer:

Smaller number: 12

Larger number: 34

Step-by-step explanation:

Let x represent the smaller number.

Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)

x + 3x -2 = 46

   Add 3x + x:

4x - 2 = 46

   Add 2 to both sides:

4x = 46 + 2

   Add 46 + 2:

4x = 48

    Divide both sides by 4:

4x/4 = 48/4

x = 12 is the smaller number

Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.

I hope this helped you. If it did, please consider, rating, pressing thanks and/or giving my answer 'Brainliest.' Have a great day! :)


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6.27 x 10 ^ 8

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r>−4

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Sarah uses long division to convert a rational number x/y to its decimal form. Which of the following statement cannot be true?

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What’s the equation look like ?

30. The table below shows the average temperature of a lake in months since April in a certain year. Find
the equation for the curve of best fit using a quadratic model, then predict the average temperature of
the lake during December of the same year. Round all answers to the nearest hundredth.
Month
Temp (°F)
April
59
May
68
June
71
July
78
August
74
1

Answers

Answer:

The temperature, in December is 47 °F

Step-by-step explanation:

The given data for the temperature are;

Month             [tex]{}[/tex]         Temp (°F)

April                   [tex]{}[/tex]          59

May               [tex]{}[/tex]               68

June             [tex]{}[/tex]                71

July                  [tex]{}[/tex]             78

August              [tex]{}[/tex]            74

Let x represent the month, and f(x) = y represent the temperature, we have;

y = a·x² + b·x + c

When x = 1, we have, f(1) = a·1² + b·1 + c = 59

f(1) = a + b + c = 59...(1)

When x = 2, we have, f(2) = a·2² + b·2 + c = 68

f(2) = 4·a + 2·b + c = 68...(2)

When x = 3, we have, f(3) = a·3² + b·3 + c = 71

f(3) = 9·a + 3·b + c = 71...(3)

When x = 4, we have, f(4) = a·4² + b·4 + c = 78

f(3) = 16·a + 4·b + c = 78...(4)

When x = 5, we have, f(5) = a·5² + b·5 + c = 74

f(3) = 25·a + 5·b + c = 74...(5)

Subtracting equation (3) from equation (5), we get;

25·a + 5·b + c - (9·a + 3·b + c) = 74 - 71

16·a + 2·b = 3...(6)

Subtracting equation (1) from equation (2), we get;

4·a + 2·b + c - (a + b + c) = 68 - 59

3·a + b = 9...(7)

Multiply equation (7) by 2 and substract from equation (6) gives;

16·a + 2·b - 2 × (3·a + b) = 3 - 2 × 9

16·a + 2·b - 6·a - 2·b = 3 - 2 × 9

16·a - 6·a + 2·b  - 2·b = 3 - 2 × 9 = -15

10·a = -15

a = -15/10 = -1.5

a = -1.5

From, 3·a + b = 9, we have;

3 × (-1.5) + b = 9

b = 9 + 4.5 =13.5

b = 13.5

From, a + b + c = 59, we have;

-1.5 + 13.5 + c = 59

c = 59 - (-1.5 + 13.5) = 47

c = 47

The quadratic equation becomes, y = a·x² + b·x + c = -1.5·x² + 13.5·x + 47

f(x) = y = -1.5·x² + 13.5·x + 47

For December, we have, x = 9, and f(x) = -1.5×9² + 13.5×9 + 47 = 47

The temperature, in December = 47 °F

Simplified or expanded version of 8(4x-12)

Answers

Answer: 32x - 96

Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps

Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport

3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports

How many students said they didn't like any sports

0 75
O 20
O 55
O 5

Answers

Answer:

5

Step-by-step explanation:

Add 1/5 + 3/4. Answer: 19/20 likes sports.

PLEASE HELP I AM BEHIND!!!!

If the solution to an equation is x = −5, what could the original equation be?

A. x + 3 = 8
B. x − 3 = 8
C. x + 8 = 3
C. x − 8 = 3

(sorry if this is easy for you, I'm bad at math.)

Answers

Answer:

The answer is c definitely

Answer:

C. x + 8 = 3

Step-by-step explanation:

x + 8 = 3

x + 8 - 8 = 3 - 8 ( so do the same thing you do on both the left and right side )

x = -5

So C is correct but you can always say 3 - 8 to figure out that the answer in c is the right one.

HOPE THIS HELPED

a computer backs up 324 megabytes of data in 5 minutes. WRITE AN EQUATION that represents the number of megabytes, m, that can be backed up in (t) minutes.

Answers

Answer:

64.8 x t = m

Step-by-step explanation:

324 / 5 = 64.8       :64.8 megabytes are produced every 1 minute

64.8 x t = m  

The answer is 64.8xt

Which table represents a nonlinear function?
A.
x y
2 -9
4 1
6 11
B.
x y
2 -14
4 -16
6 -18
C.
x y
2 0
4 6
6 16
D.
x y
2 -9
4 -6
6 -3

Answers

Answer:

C. 2 -9

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6 -3

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Please help, I will mark brainliest!

Answers

4
Put the smol 7 next to it !!

On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded. Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1

Answers

Answer:

The linear equality y>x+1 is the right answer.

Answer:

The linear equality y>x+1 is the right answer.

Step-by-step explanation:

Write the vocabulary word for this definition:

The number of units or spaces away a number is from zero

Answers

Answer:

i am not sure but may be ...absolute value

what is the quotient of 0.12/24.12

Answers

Answer:

0.00497512437

Step-by-step explanation:

but make sure to round it. it should be 0.005 rounded to the nearest thousandth place but make sure if im correct im not too sure.

PLEASE HELP WITH THIS, ITS FOR A TESTTT

Answers

14x + 21

Hopefully this helps!

Answer:

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Step-by-step explanation:

Distribute first then combine like terms

Which of the following volumes represent a perfect cube? Check all that apply. 1 in.3 4 in.3 8 in.3 12 in.3 25 in.3 27 in.3 64 in.3

Answers

Answer:

A, C, F, G (1 in.^3, 8 in.^3, 27 in.^3, 64 in.^3.)

Step-by-step explanation:

Answer:

A

C

F

G

Step-by-step explanation:

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9

Step-by-step explanation:

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Answer:

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Answers

Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

A partial proof was constructed given that MNOP is a parallelogram.

Which statement should fill in the blank in the last line of the proof?

A. angle M is supplementary to angle O.


B. angle N is supplementary to angle P.


C. angle M is congruent to angle P


D. angle N is congruent to angle P.

Answers

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B

Step-by-step explanation:

B. angle N is supplementary to angle P

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Step-by-step explanation:

what is the absolute value of │38│

Answers

Answer:

38

Step-by-step explanation:

if there are bars around it its automatically positive even if it was -38 the absolute would still be 38.

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Step-by-step explanation: The absolute value of a number

is that number's distance from zero on a number line.

Since 38 is 38 units from zero, the absolute value of 38 is just 38.

a 10 miles per hour
b 15 miles per hour
c 30 miles per hour
d 65 miles per hour

Answers

Answer: B) 15 mph

====================================================

Explanation:

The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.

The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.

Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.

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y - 3 = -2 ( x + 5 ) in standard form

Answers

Answer:

2x + y = -7

Step-by-step explanation:

Standard form is Ax + By = C

A represents the coefficient with x

B represents the coefficient with y

C represents the constants

1 - Rewrite to make it easier to work it out

y - 3 = -2 ( x + 5 )

2 - Distribute

y - 3 = -2x - 10

3 - Get the variables on one side and the constants on the other

y - 3 = -2x - 10

+ 2x  + 2x

2x + y - 3 = -10

         + 3   + 3

2x + y = -7

Hope this helps,

A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?​

Answers

Answer:

1/2 teaspoons of salt per cup of sour cream

Step-by-step explanation:

multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.

Answer the question above

Answers

Answer:

it is C.

Step-by-step explanation:

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Answers

Answer:

1.955 is bigger

Step-by-step explanation:

1.955>1.59

Answer:

1.955

Step-by-step explanation:

This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59

Two forces act on a body so the resultant is a force of 68.3 pounds. The angles between the resultant and the forces measure 46 degrees and 38 degrees.

Answers

Answer:

A

Step-by-step explanation:

Use the equation given for sin

There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.

Answers

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12


A line passes through the point (4, -6) and has a slope of -3/4. Which is the equation of the line

Answers

Answer:

A: y=-3/4x -3

Step-by-step explanation:

HELP PLEASE!! I NEED TO GET THIS TURNED IN

Answers

Answer:

the 10.5

Step-by-step explanation:

it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three

PLZ!!! HELP. Blake has traveled 65% of the distance to his grandpearents house. he traveled 26 miles. how many total miles will he travle?

Answers

Answer:

40

Step-by-step explanation:

Answer:

40 I think so if not I hate u

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