the sum of the second and fourth of four consecutive integers is 110

Answers

Answer 1

Answer:

The integers:    53, 54, 55, 56

Step-by-step explanation:

Consecutive integers increase by 1, so if x is the smallest one, then the numbers are:

                      x,  x+1,  x+2,  x+3

the sum of the second and fourth: x+1 + x+3 = 2x+4

so:   2x + 4 = 110  ⇒  2x = 106   ⇒   x = 53

So the integers we are looking for:

                                                           53, 54, 55, 56


Related Questions

The value of x varies directly with y, and when x= 2/3, y=6. Find the value of y when x = 10 1/3

Answers

See the image above for explanation.

All done!

Solved!

:-)

When x= ([tex]10\frac{1}{3}[/tex]) the value of y is 93.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

when x= 2/3, y=6.

Using constant proportionality

y = kx

k= y/x

k = 6 / (2/3)

k = 6 x 3/2

k = 9

Now, k= y/x

9 = y/ ([tex]10\frac{1}{3}[/tex])

9 = y / (31/ 3)

y = 9 x 31/3

y = 93

Hence, the value of y is 93.

Learn more about proportion here:

https://brainly.com/question/26974513

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What is X?
x + 1 + 4x = 11 + 12x - 3

Answers

5x+1=11+12x-3

5x+1=8+12x

5x+1-12x=8

-+1=8

-7x=7

x=\frac{7}{-7}

answer:

x=-1

The value of x would be equal to -1.

An equation is defined as an expression that shows the relationship between two or more numbers, variables, and a mathematical equation is a statement with two equal sides and an equal sign in between.

We are given the equation as;

x + 1 + 4x = 11 + 12x - 3

Now solve for x;

x + 1 + 4x = 11 + 12x - 3

5x+1=11+12x-3

5x+1=8+12x

5x+1-12x=8

-7x = 8 - 1

-7x=7

x=-1

The solution will be -1.

Learn more about equations here;

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Justin earned $8.50 per hour working at a coffee shop. 187 each week before taxes an equation to find the number of hours he worked each week. What's the equation ?​

Answers

Answer:

1589.5

Step-by-step explanation:

Please help!
Theresa's Book Barn sold $10,347 worth of books during September. In October, their sales were $12,115. How much higher were Theresa's book sales during October than in September? Explain how you got your answer.

Answers

Answer:

awnser is 1718

Step-by-step explanation:

Answer:

$12,115 - $10,347 = $1,768. the difference is $1,768 this is how much more in sales they had in October

tracey ran 1,000 meters in 5 minutes. how many meters did she run per minute?

Answers

Answer:

200 miles per minutes

Step-by-step explanation:

Answer: 200 meters

Step-by-step explanation: Divide 1,000 by 5. You should have a result of 200 meters.

what is the equivalent to (2 − 5)2

Answers

Answer:

-6

Step-by-step explanation:

x2+9x+20 plz help with it​

Answers

Answer:

11x + 20

Step-by-step explanation:

x2 + 9x + 20

2x + 9x + 20

11x + 20

Hope this helped!

Answer:

(x + 5)(x + 4)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

x² + 9x + 20

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (+ 9)

The factors are + 5 and + 4, since

5 × 4 = + 20 and 5 + 4 = + 9 , thus

x² + 9x + 20 = (x + 5)(x + 4) ← in factored form

what is the x coordinate​

Answers

Answer:

the x coordinate is the horizontal line wich is going in a straight line.

Step-by-step explanation:

The coordinates of

A are (0.5,4)

B are (-3,0)

C are (-1,1)

The formula for coordinates is (x,y).

The x coordinates are the ones that are on the horizontal line.

The y coordinates are the ones that are on the vertical line.

Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.
If she forgets three times in one month, what will be the change in Jenny’s total allowance?

Can someone help please!!!

Answers

Answer:

$7.20

hope this helps

the answer is $7.20

2. How these concepts are used indifferent situations?​

Answers

If you tell me the concepts you’re referring to I might be able to help

Select the equivalent expression.
1/3 = ?

Answers

0.3333 that is the answer I shearched it

Answer:

A. 3^-1

Step-by-step explanation:

1/3 turned into a decimal is .33 (Repeating). Let's find which answer can repeat the same way.

A. 3^-1  = .33

B. (-1)^3  = -1

C. (-3)1  = -3

I am assuming you do not need work shown. I have used a calculator for this one.

f(x)=√8+2
Find the range

Answers

Answer:

what does f or x mean

Step-by-step explanation:

Maria walked 4.035 kilometers What is 4.035 written in expanded form?

Answers

Answer:

four and thirty-five thousandths

If f(x) = (-3x - 6) + 10, find f(5)

Answers

Answer:

f(5) = -11

Step-by-step explanation:

f(5) = (-3(5) - 6) + 10

f(5) = -21 + 10

f(5) = -11

Answer:

I hope its -11

Step-by-step explanation:

(-3x - 6) + 10

(-3(5) - 6) + 10

         ^

       -21 + 10

             ^

            -11

I hope its right :)

Question 19 please tysm for helping

Answers

Answer:

1

Step-by-step explanation:

just multiply across and youll get 72/72 and then you simplify to get 1

sorry if this is wrong haha

Answer:

simplified- 1

Multiplied-1

evaluate-1

Step-by-step explanation:

solve 2 - v = - (v - 2)

Answers

Answer:

All real numbers

Step-by-step explanation:

Answer:

0=0

Step-by-step explanation:

2-v=-(v-2)

2-v=-v+2

-v+v=2-2

0=0

help me I dont understand this question ​

Answers

Angle 1 & Angle 2 are ADJACENT ANGLES as they are both next to each other.


This shape is a polygon.
O True
O False

Answers

False because circle is not a polygon

plz help. this is for apex if you dont know.

Answers

Answer:

1/4/4/3 is the same as 1/4 x 3/4

Step-by-step explanation:

first fraction-keep

Division sign-flip to multiplacation

Second sign-flip

Two trains traveling the same speed leave the city. The southbound train reaches its destination in 45 minutes. The eastbound train reaches its destination in one hour. how fast were the trains traveling if their destinations are 88 miles apart.​

Answers

Answer:

70.4 mph

Step-by-step explanation:

Let the speed be x mph

The distances are

45/60x= 3/4x and x

The line connecting the two destinations is the hypotenuse of the right triangle with legs of 3/4x and x, which is 88 miles

Then we can put it as expression and solve for x:

(3/4x)² + x² = 88²9/16x² + x² = 88²25/16x² = 88²25x² = 4²*88²(5x)² = 352²5x = 352x = 352/5x = 70.4 mph

Y’all help me, LIKE RNRNRN

Answers

i sadly can not see it

Step-by-step explanation:

whats the answer to 13(9−6m)+14(12m−8)

Answers

Answer:

90m+5

Step-by-step explanation:

117-78m+14(12m-8)

117-78m+168m-112

90m+5

Answer:

90m+5

Step-by-step explanation:

117-78m+14(12m-8)

117-78m+168m-112

90m+5

On a map, the distance between two cities is 26 cm. If the map scale is 2 cm: 11 mi., what is the actual distance between the two cities?​

Answers

Answer:

143 miles

Step-by-step explanation:

To get the answer, you should first, divide 25 cm by 2 cm = 13 cm so it will be easier for you to multiply. Then you should multiply  = 13 by 11 = 143 miles


Use FOIL to determine the following Expression ​

Answers

Answer:

Undefined?

Step-by-step explanation:

x^2-12x+20=(x-2)(x-10)

x^2-12x+20=x^2-10x-2x-20

-12x+20=-12x-20

20=-20

40=0

Write a real-world situation that can be modeled by the equation 1/3x+10=3/5x

Answers

Answer:

One-third of Leah's weekly paycheck plus $10 = three-fifths of her check.

What is her weekly pay? or 1/3 of a handyman’s fee plus an extra fee of 10 dollars for showing up, which is equal to 3/5 o his fee altogether. What is his fee in all with the extra fee

Which linear equation is represented by the table?

Answers

Answer:

On E. the first answer is = -2.5x-15 and the solution is (-6,0)

Step-by-step explanation:

I just guessed this on E. and got it right.

IS
Write an equation and solve.
5. A personal trainer charges $75 for a consultation, and then
$50 per visit. If you have $325 to spend on personal training,
how many visits (v) will you have?

Answers

Answer:

search up on google

Step-by-step explanation:

not hard

A hiker is 3.5 miles from her campsite when she begins to walk back to it. She hikes back toward the campsite at a constant rate of 2.1 miles per hour.
Which equation models the distance of the hiker from her campsite? (Let m represent her distance, in miles from the campsite and h represent the number of hours since she begin walking back.)
O m= 3.5+ 2.1h
Om= 3.5h - 2.1
O m = 3.5h + 2.1
m = 3.5 - 2.1h

Answers

I really don’t understand it but can you do a little more explaining

Which of the following is the best estimate for the total change in distance from the group of​ students' original position at the​ surface? Round to the nearest ten.

Answers

Answer:

- 20 feet

Step-by-step explanation:

a music app charges 2$ to download the app plus 1.29$ per song downloaded.Write and solve a linear equation to find the total cost to download 30 songs

Answers

Answer:

c = 1.29x + 2

c= cost

x= song

cost= 39.7

Step-by-step explanation:

1.29×30=38.7

38.7+2=19.7

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