Solve the following. Once you simplify the equation, you will write it on the line. Then list the integers you found as the answers in order from
least to greatest
The sum of two consecutive integers is 53. What are the two integers?
Equation:
Integers:

Answers

Answer 1

Answer:

Equation: 2x+1 = 53 (x is 26)

Integers: 26, 27

Step-by-step explanation:

53 is the sum of 2 consecutive integers. That means one of the integers is one larger than the other. This means that twice one integer plus one equals 53, so the equation becomes x + (x + 1) = 53.

x + (x+1) = 53

Combine x and x to get 2x.

2x + 1 = 53

Subtract 1 from both sides to cancel the +1.

2x = 52

Divide both sides by 2 to undo the multiplication by 2.

x = 26

With this we know the first integer is 26. The second is one more than that, so that's 27. So the two integers here are 26 and 27.


Related Questions

Joanie went to the store to pick up 20 apples for an apple pie. She walked 2 miles per hour. It took her 30 minutes to get to the store by walking. What was her average speed?

Answers

Answer:

1 hour every 30 minutes

Step-by-step explanation:

write down 3 integers, all less than 25 whose range is 8 and mean is 13

Answers

Answer:

9, 13, 17

Step-by-step explanation:

The difference between the greatest value and the least is 8, the range.

Add the three numbers to total 39, then divide by 3 to get the mean, 13.

Pls I need help
Solve
x-4=⅓(6x-54)

Answers

Answer:

x=14

Step-by-step explanation:

x-4=⅓(6x-54)

x-4=2x-18

x+14=2x

x=14

Answer:

14

Step-by-step explanation:

STEP1:

1 Simplify — 3

Equation at the end of step1:

1 (x - 4) - (— • (6x - 54)) = 0 3

STEP2:

STEP3:Pulling out like terms

 3.1     Pull out like factors :

   6x - 54  =   6 • (x - 9) 

Equation at the end of step3:

(x - 4) - 2 • (x - 9) = 0

STEP4:Equation at the end of step 4

14 - x = 0

STEP5:

Solving a Single Variable Equation:

 5.1      Solve  :    -x+14 = 0 

 Subtract  14  from both sides of the equation : 

                      -x = -14

Multiply both sides of the equation by (-1) :  x = 14

Determine algebraically, three consecutive integers such that the sum of the first and the third is three times the second

Answers

Answer:

x,x+1,x+2

Step-by-step explanation:

x+2[x+1]+3[x+2]= -76

x+2x+2+3x+6= -76

6x+8=-76

6x=-76-8

6x= -84

x= -84/6

x= -14

hope it helps UvU

PLEASE HELP solve for X, 12x-72, 3x-3

Answers

Answer:

12x-72

x=8

3x-3

x=-3

Step-by-step explanation:

Simplify the expression. Write answer using only positive exponents.


(1/3a^3)^-4

Answers

Answer:

81/a^12

Step-by-step explanation:

Answer:

81/a^16

Step-by-step explanation:

(1/3a^3)^-4

1/3^-4a^-16

3^4 x 1/a^16

81/a^16

-12 = 4x + 1
solve
algebra

Answers

Answer:

[tex]x=-\frac{13}{4}[/tex]

Step-by-step explanation:

[tex]-12=4x+1\\4x=-12-1\\x=-\frac{13}{4}[/tex]

Use the graph to find the unit rate.
$24 per person
$42 per person
$32 per person
$84 per person

Answers

Answer:

B:42

Step-by-step explanation:

Answer:

B - 42

Step-by-step explanation:

on edge :)

what do you add to 5 1/9 to make 8

Answers

Answer:

2 8/9

Step-by-step explanation:

Answer:

you add 2 and 8/9

Step-by-step explanation:

Tristan and his children went into a restaurant and will buy hotdogs and tacos. Each hotdog costs $4 and each taco costs $3. Tristan has a total of $30 to spend on hotdogs and tacos. Write an inequality that would represent the possible values for the number of hotdogs purchased, hh, and the number of tacos purchased, t.t.

Answers

Answer:

hh(4)+tt(3)=30

Step-by-step explanation:

please help answer this

Answers

Answer:

The second one, the third one, and the fifth one.

Step-by-step explanation:

Just look at the proportions and see id the function matches the proportion. Use "soh cah toa" or "sin is opposite/hypotenuse, cos is adjacent/hypotenuse, and tan is opposite/adjacent." Hope this helps.

Ground Turkey meat costs 1.29 per pound. how much would 1.08 pounds of turkey meat cost.

Answers

Answer:

1.194

Step-by-step explanation:

its just keeps going with the four

can someone help me, if you get it right ill give you brainiest

Answers

Answer:

4w

Step-by-step explanation:

4w means 4 times w, and if you have four groups of something, you multiply it to see how much there is.

Answer:

4times(x)w

Step-by-step explanation:

what is the y intercept of L2

Answers

Answer:

5

Step-by-step explanation:

Count up the y axis

Please please help I’ll give 5 stars

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

f(x) = -5x -1

Step-by-step explanation:

For each change in x there is a -5 change in y so the slope is y = -5x

If x was 0 y would be -1 so the y-intercept is -1

Please Mark as Brainliest!

A telescope is discounted 30%. Sales price is $126. Find the original price.


Pls help meeeeeeee

Answers

Answer:

180 dollars

Step-by-step explanation:

if it was discounted by 30 percent, that means 126 is 70 percent of the orin=inal price. If you divide 126 by 70, you get 1.8 is the money worth 1 percent. Multiply 1.8 by 100 to get the original price, and you end up with 180 dollars.

180, multiply 126 by 100 then divide by 70(representing the remaining 70%) and your left with 180

i need this done quick!! help!!1!!!1

Answers

Answer:

113.1 inches squared

Step-by-step explanation:

Answer:

the answer is 113.1

Step-by-step explanation:

given

d=12

diameter is half of the radius

so

r=6

now we apply the formula

A=22/7 × 6×6

=792/7

=113.1

i hope the answer is right

the ratio of lions supporters to sharks supporters in a sports bar is 2:5. If there are 35 people in the bar how many are sharks supporters ?​

Answers

Answer:

10

Step-by-step explanation:

2+5 = 7

35/7 = 5

2 × 5 = 10

hope this helps...

Please help please ASAP please help ASAP please ASAP ASAP

Answers

Answer:

2.79

Step-by-step explanation:

Given

With reference angle 21°

hypotenuse (h) = 3

base (b) = x

Now

cos 21° = b / h

0.93 = x / 3

x = 0.93 * 3

x = 2.79

Hope it will help :)

if x and y vary inversely and x equals 3 when y=2/3 what is the value of y?

Answers

INVERSE VARIATION

SOLUTION:

First, find the constant of variation k using the equation k=(x)(y)

[tex]3 = \frac{k}{ \frac{2}{3} } [/tex]

[tex]k = (3)( \frac{2}{3} )[/tex]

[tex]k = 2[/tex]

-----------------------

Then, find the value of y.

(I think your given question is incomplete.)

A line with a slope of o passes through the points (9, z) and (-7, 5). What is the value of z?

Answers

Answer:

z = 5

Step-by-step explanation:

m = ∆y/∆x = y₂-y₁/x₂-x₁

0 = y₂-y₁/x₂-x₁ = 5 - z / -7 - 9 = 5 - z / -16 →

5 - z / -16 = 0 → 5 - z / -16 × -16 = 0 × -16 → 5 - z = 0 →

5 - z - 5 = 0 - 5 → -z = -5 → z = 5

25abc2-15a2b2c algebra

Answers

Answer:

[tex]25ab {c}^{2} - 15 {a}^{2} {b}^{2} c \\ = 5abc(5c -3ab)[/tex]

is the right answer.

Show
B
13.5 cm
9 cm
А
F
15 cm
12 cm
18 cm
С

Answers



I don’t understand the answer??

Draw the reflection of the triangle across the y-axis.​

Answers

Answer:

I attached a picture, just connect the dots (left side)

7+100+1+3+7+10+15+12+17+38/10

Answers

Answer:

175.8

Step-by-step explanation:

The answer is 12 all of those added up is 120 and that divided by 10 is 12.

What is the reference angle for 192°?

A 22°
B. 68°
C. 12°
D. 78°

Answers

Answer:

C. 12°

Step-by-step explanation:

Angle-180°

192°-180°

=12°

please help and i’ll give brainliest

Answers

Answer:

d)  XY = 15.75

Step-by-step explanation:

XY is the median of the trapezoid

XY = (DC + AB) ÷ 2

XY = (13.4 + 18.1) / 2

Help would be great!

Answers

Answer:

31 does not belong because it isn't dividable by 3 xx

31 because it is not a multiple of 3

Suppose you are replacing the carpet in the living room where the length of the living room is five feet shorter than twice its width, w. Tack strip is placed around the perimeter of the room, which is equal to five times the width. If carpet costs $2.99 a square foot, what the total cost to carpet the living room?

Answers

Answer:

$149.50

Step-by-step explanation:

Width = x

Length = 2x - 5

Perimeter of the room = 5x

Perimeter of the room = 2(length + width)

5x = 2{(2x-5) + x}

5x = 2(2x - 5 + x)

5x = 4x - 10 + 2x

5x = 6x - 10

5x - 6x = -10

-x = -10

x = 10

Width = x = 10

Length = 2x - 5

= 2*10 - 5

= 20 - 5

= 15

Perimeter of the room = 5x

= 5 × 10

= 50 square foot

If carpet costs $2.99 a square foot, what the total cost to carpet the living room

Total cost = $2.99 × 50

= $149.50

what are the two things do you need to write an equation?

Answers

Answer:

Slope and y intercept.

Step-by-step explanation:

This is necassary to write the equation of a line in y=mx+b

m is where the slope goes, and b is the y intercept.

Alternatively, you could also write the equation for a line with a point on the line and the slope.

You would then write it in point slope formula:

y-y1=m(x-x1)

This can later be converted into slope intercept form.

Answer:

When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

Or

The Standard Form for a linear equation in two variables, x, and y, is usually given as Ax + By = C where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1.

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