Find three consecutive integers such that twice the sum of the first two is to less than three times the third

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the consecutive integers be x - 1 , x , x + 1

Equation

2*(x - 1 + x) = 3*(x+1) - 2

Solution

2(2x - 1) = 3(x + 1) - 2           After the first two have been combined remove the brackets.

4x - 2 = 3x + 3 - 2               Combine the right

4x - 2 = 3x + 1

4x - 2 + 2 = 3x + 1 + 2         Add 2 to both sides

4x = 3x + 3                          Subtract 3x from both sides

4x-3x = 3x - 3x + 3             Combine

x = 3

Check

Left hand side

2(2 + 3)

2(5)

10

Right hand side

3*(x+1) - 2

3*(4) - 2

12 - 2

10

The answers at least agree.


Related Questions

Simplify the expression 4x^3 x 2x^3

Answers

Answer:

8x^6

Step-by-step explanation:

Brainliest

Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss books, how many total books does she have?

Answers

Answer:

Step-by-step explanation:

if the ratio is 8:11 then 40:x

Cross multiply

8    40

11    x

8x=440

And divide by 8

x=55. She has 55 books

Question 4
Measure the length of your selected line segment using the tools available in GeoGebra. Include measurements for both the image and the
prelmage, and enter your values in the table. Compare the measured values with the values you calculated in Question 3. Are the values equal?
Type an X in the appropriate box.

Answers

Answer:

Edmentum.

Step-by-step explanation:

God bless and enjoy. :)

2. Determine the scale factor of a drawing if the scale is 1 inch = 4 feet.

Answers

Answer: Therefore the scale factor is 48 times.

Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4

the scale is 1 inch to 4 FEET.

Convert feet to inches

1 inch to 48 inches

So the ratio is 1:48

What is the value of tan(t/2) if cos(t) = 4/5 and t is in quadrant IV?

Answers

Answer:

Step-by-step explanation:

-1/3

Answer:

A

Step-by-step explanation:

on edge

Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21

Answers

Answer:

A. 90.24 divided by 6.3

Step-by-step explanation:

We take each option one by one and solve for it

A. 90.24 divided by 6.3

Divisor = 90.24

Dividend = 6.3

if the divisor and dividend were rounded to the nearest whole number?

= 90÷ 6

= 15

Answer:

A, I got it right on edge.

Step-by-step explanation:

Which relation is a function?
a.
{(5,3), (2,8), (-5, -1),(4,7), (2, 1)}
b. {(5,3), (2,8), (-5,-1), (4,7), (-2, 1)}
{(5,3), (2,8), (-5, -1), (4,7), (5,7)}
d. {(-5,3), (2,8), (-5, -1), (4,7), (
2, 2)}

Answers

Answer: b

Step-by-step explanation:

You can determine which is a function by looking at the x values. If an x value repeats, it is not a function. In A, the x variable 2 repeats so it is not a function. In C, the x variable 5 repeats. In D, the x variable -5 repeats. The only answer choice where none of the x values are the same is B, so the answer is B. Hope this helps!

Write the next three terms: 2,4,6,8,.

Answers

Answer:

10, 12, 14

Step-by-step explanation:

even numbers, just add 2 to previous answer

10, 12, 14............

What is the completely factored form of x2 - 64/?

Answers

Answer:

(x-8)(x+8)

Step-by-step explanation:

Answer:

(x + 8)(x − 8)

Step-by-step explanation:


Which equations would be related to x - 7 = 38

Answers

Answer:

-7+x=38,

Step-by-step explanation:

Graph this Compound Inequality: x 9.8

Answers

Answer:

Step-by-step explanation:

The middle of 9 and 8

At noon, a tank contained 8 in. of water. After several hours, it contained 2 in. of water. What is the
percent decrease of water in the tank?

Answers

Answer:

75%

Step-by-step explanation:

To find the percent decrease, use the percent change formula:

(difference / original) x 100

8 - 2 = 6, so the difference is 6.

Plug in the difference and original:

(6 / 8) x 100

= 75

So, the percent decrease is 75%

Determine if biconditional is true.
A) Felipe is a swimmer if and only if he is an athlete.

Answers

it is not a true biconditional.

Joe worked 8 hours less then Lou. Together they worked 72 hours. How many hours did each work?

Answers

Answer:

Joe=32  Lou=40

Step-by-step explanation:

72-8=64

64/2=32

32+8=40

Joe=32

Lou=40

Hope this helped:)

System of Equations in Three Variables Word Problem

Answers

Answer:

i think the answer is a number or multiple number and maybe a decimal.

Step-by-step explanation:

go to Tiger Algebra Solver

Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?

Answers

Answer:

Weekly: $106.25

Monthly: $425

Yearly: $5,100

Step-by-step explanation:

Answer:

Step-by-step explanation:

WEEKS:

$175 divided by 4= 43.75

100 divided by 4= $25

150 divided by 4: $37.5

TOTAL: 106.25

YEARLY:

$175 times 12: $2,100

$100 times 12: $1,200

$150 times 12: $1,800

TOTAL: 5,100

MONTHLY: $425

Line l was mapped to Line m as shown in the graph below. please help


What transformation was applied to Line l to produce the result shown?



Line l was translated up 5 units.

Line l was reflected over the x-axis.

Line l was reflected over the y-axis.

Line l was translated 6 units to the right.

Answers

Line I was translate up 5 units

i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please

Answers

check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.

Answers

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of [tex]\frac{1}{2}[/tex] to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = [tex]\frac{1}{2}[/tex] of the sides of ΔABC

Area of ΔA'B'C' = [tex]\frac{1}{2}(\text{Area of triangle ABC})[/tex]

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

Answer: The Third option and the sixth option.

Step-by-step explanation: I have had this question on a test before and i got the answer correct. i hope this helped.

2) What is the distance between -5 and -3?

Answers

Answer:

2

Step-by-step explanation:

-5 - (-3)

-5 plus 3

|-2|

2

Madeline has two different candles made by two different companies. The length in centimeters of the first candle depends on its burning time t (in hours) according to the formula f(t)= 20-1.5t. The length (in centimeters) of the second candle over time

Answers

Answer:

I needed help with this answer well, because im on it right now.

Step-by-step explanation:

I'm in algebra and I don't understand how to solve this equation or problem :(

what is the volume ​

Answers

Answer:

The volume is 227.5

Step-by-step explanation:

The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5

Jodi owes $38,000 in students loans for college. The interest rate is 7.25% and the loan will be paid off over 10 years. How much will Jodi pay TOTAL?

Answers

Answer:

Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.

Step-by-step explanation:

Solution:

P = $38,000, R = 7.25% and T = 10

I = P*R*T

I = (38000)*(.0725)*(10) = $27,550.00

Answer: Jodi will have to pay $38,000 in principal plus $27,550 in interest for a total of $65,550.00.

Answer:   Jodi will pay $65,550.00 in total.

Steps:   7.25% of $38,000 is $2,755.00

Multiply 2,755.00 times 10:      2,755 × 10 =  27,550

$38,000.00 + $27,550.00 = $65,550.00

Plz mark brainliest:)

If nis the larger of two consecutive numbers, write an expression for the other number.

Answers

Answer:

n-1

Step-by-step explanation:

Consecutive means that they have a difference of one, so the expression will be n-1.

Answer:

n-1

Step-by-step explanation:

I hope you like the answer!

what is the y intercept of y= -1/2x +3
Hurryplz!

Answers

Answer:

Y-intercept is 3

Step-by-step explanation:

Remember y=mx+b

b is the y-intercept

mx is the slope

Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and
the rest of the gang, too!) Adult tickets cost $17.95 and children's tickets cost $12.95. Disney
made $7355 from ticket sales from a total of 500 people that attended. How many adults and
how many children were at the breakfast?

Answers

176 adults 324 children

Help with trigonometry homework

Answers

By definition of tangent,

tan(A - π/4) = sin(A - π/4) / cos(A - π/4)

Expand the numerator and denominator using the angle sum identities for sin and cos:

tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))

Divide through everything on the right by cos(A) cos(π/4):

tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))

Simplify the sin/cos terms to tan:

tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))

tan(π/4) = 1, so we're left with

tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))

Replace tan(A) with -√15:

tan(A - π/4) = (-√15 - 1) / (1 - √15)

Then the last option is the correct one.

A. 8
B. 32
C. 16
D. 4

Answers

uhhhh it might be 8 if i’m wrong sorry

How are rates ratios and proportions used in careers in the medical field​

Answers

Answer:

Ratios and Proportions

Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.

Step-by-step explanation:

Answer:

they are used for comparing data

Step-by-step explanation:

even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand

Help please ? What’s the inequality?

Answers

9514 1404 393

Answer:

  -1 < x < 5

Step-by-step explanation:

The open circle at -1 and the shading to its right tells you ...

  -1 < x

The open circle at 5 and the shading to its left tells you ...

  x < 5

Both of these are true together, so the compound inequality representing that is ...

  -1 < x < 5

_____

Additional comments

If the circle were filled, the relation would include the "or equal to" case: ≤.

I like to use the "left-pointing" relation symbols (<, ≤) because they put the numbers and variables in the same relationship they are on the number line. That is, -1 is on the left end of the shaded segment; the shading (variable value) is in the middle, and 5 is on the right end--the same as ...

  -1 < x < 5

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