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

What is 2.1 with 1 repeating as a mixed fraction
A 2 1/10

B 2 1/9
C 2 11/10
D 12/100

Answers

Answer:

the answer is B

Step-by-step explanation:

1. convert the mixed number choices to improper fractions

2. type each improper fraction into a calculator

3. see which one comes out as 2.111111111

4. find out that it's B and you'll B happy (see what I did there, it's a pun)

Can someone please help me on this?

Answers

Answer:

linear pair: a pair of angles that equal 180 and make a line

complementary angles: 2 angles that equal 90 degrees

vertical angles: angles that are vertical from each other that equal the same sum

supplementary angles: 2 angles that equal 180 degrees

Step-by-step explanation:

ima sophomore did this a long time ago.

Please answer will give brainliest! What is the distance between −93 and 114 on a number line? −207 −21 21 207


−207

−21

21

207

Answers

Answer:

207

Step-by-step explanation:

It automatically can not be -207 and -21 because you can't have a negative distance. To find the correct answer between 21 and 207, first you have to add 93 and 114. You do this because -93 is below the number line, so you have to add it to 114. 114 + 93 = 207

207

I hope this helps

Answer:207Step-by-step explanation:What is the distance between −93 and 114 on a number line?Responses−207negative 207−21negative 212121207ANSWER TIME!!:114+93=207= -207

The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.

A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.

Use the drop-down menus to complete each statement.

The amplitude of the function is
.

The period of the function is
.

The graph has a vertical shift of
units.

Answers

Answer:

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Step-by-step explanation:

The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.

A.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.

Not a function as input values repeated: negative 3

B.........................................

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Yes, it is a function

C.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.

Not a function as input values repeated: 0

D.........................................

StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet

Not a function as input values repeated: negative 12

So correct one is option B

The amplitude of the function is 48.The period of the function is 28.The graph has a vertical shift of 48 units.

Which expression is equal to -8?


4 x -2

-24
÷
÷ -3

11 + (-3)

11 - (-3)

Answers

Answer:

4 x -2

Step-by-step explanation:

4 * -2 = -8

-24 / -3 = 8

11 + (-3) = 8

11 - (-3) = 14

Evaluate the expression for the given values of the variables.

5d − 4e − 14 for d = 5 and e = −7

When d = 5 and e = −7, the expression is equal to

Answers

Answer:

39

Step-by-step explanation:

5(5) - 4(-7) - 14 is what the equation should look like.

Just simplify the expression.

36 x 79 whats the answer show your work pls

Answers

79×36=2,844 is the multiplied amswer

what is the value of x in the expression 2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
a. 1
b. 3
c. 4
d. 6​

Answers

Answer:

b.

Step-by-step explanation:

2(6x + 4) - 6 + 2x = 3(4x+3) + 1
12x + 8 - 6 + 2x = 12x + 9 +1
14x + 2 = 12x +10
2x = 8
x = 4

Option c. Is the answer

what is the slope of the line that passes through the points (4,-2) and (24,-17)

Answers

Answer:

-3/4

Step-by-step explanation:

Use the formula y2-y1/x2-x1. When you plug in your x and y's, you should get -17+2/24-4. Simplify and you get -15/20, Simplify again and you get -3/4

Solve for the value of s.
(35+6)/(25-1)º

Answers

Answer:

615/360º

Step-by-step explanation:

In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 51°F and the low temperature for the same day was 45°F, what is the number of heating degree days? A. 17 B. 48 C. 113 D. 14

Answers

Given that,

The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.

Solution,

The high temperature was 51°F and the low temperature was 45°F.

Average of high and low temperatures for the day is given by :

[tex]T=\dfrac{51+45}{2}\\\\T=48^{\circ} F[/tex]

Now using formula :

H = 65 - T

H = 65 - 48

H = 17

Hence, there are 17 heating degree days.

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam? 32 40 44 48

Answers

Answer:

44

Step-by-step explanation:

Let x and y be the total number of questions in part 1 and part 2 exams respectively.

For part 1:

Number of correct question = 4/5 of the total number of question in part 1

[tex]\Rightarrow 16=\frac{4}{5}\times x[/tex]

[tex]\Rightarrow x=20[/tex]

For part 2:

Number of corrected question = 2/3 of total number of question in part 2

[tex]\Rightarrow 16=\frac{2}{3}\times x[/tex]

[tex]\Rightarrow x=24[/tex]

So, the total umbers of the questions on Stephanie's exam

=x+y

=20+24

=44

Hence, the total umbers of the questions on Stephanie's exam was 44.

Milene é doceira e a seguir está uma representação dos bombons que ela fez no dia. Do total dos bombons que fez 2/3 são de coco. Escreva a quantidade que representa os bombons de coco. *finja que aqui tem 24 bombons*

Answers

Answer:

16 bombons de coco

Step-by-step explanation:

A partir da pergunta, somos instruídos a fingir que o número total de bombons (chocolate) que ela fez = 24 bombons

Do total de chocolates que ele fez, 2/3 são de coco.

Portanto, a quantidade que representa os doces de coco é representada como:

2/3 × 24

= 16

Portanto, a quantidade de bombons de coco = 16

If using the method of completing the square to solve the quadratic equation
x2 - 6x – 34 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

9

Step-by-step explanation:

divide -6 by 2 then square the answer(-3)=9

The solution of x² - 6x – 34 = 0 by completing square method is

⇒x   = 3 ±√43

The given quadratic equation is

x² - 6x – 34 = 0,

We know that whole square formula

(p+q)² = p² + q² + 2pq

Now convert the given expression into this form

So adding 9 both sides

⇒  x² - 6x – 34 + 9 = 9

⇒         x² - 6x  + 9 = 43

⇒  x² - (2)(3)x  + 3² = 43

⇒                (x - 3)²  = 43

Taking square root both sides we get

⇒                (x - 3)   = ±√43

Add 3 both sides we get

⇒                       x   = 3 ±√43

Thus the solution of the given quadratic equation is

x   = 3 ±√43

To learn more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ6

A point (-7, -6) is rotated counterclockwise about the origin to map onto (-6, 7). The
angle of rotation is
A) 360°
B) 180°
OC) 90°
OD) 270°

Answers

Option D, 270 is the answer

Answer:

D

Step-by-step explanation:

Given x∥y and m∠2=23° .

What is m∠7?

Enter your answer in the box.

Answers

Answer:

angle2=23°

angle7=angle5

angle2=angle6

so,angle8=23°

total angle = 180°

angle7=180°-46°=134°÷2=67°

Using corresponding angles are equal property we found that m∠7 = 157°

What are corresponding angles?

When two parallel lines are intersected by an transversal line then the pair of angles formed on one same side of transversal on both parallel lines are corresponding angles. As in the figure attached ∠ 1 and ∠5 are  corresponding angles.∠4 and ∠8 are also corresponding angles.

Corresponding angles are always equal.

Given that x and y are parallel lines.

Then ∠2 and ∠6 are corresponding angles , therefore m ∠2 = m ∠6

Given that m∠2 = 23°

m∠6 = 23°

As ∠7 and ∠6 are on same line hence they are supplementary

m∠7  + m∠6 = 180°

⇒m∠7 + 23° =180°

m∠7  =180°- 23° = 157°

Therefore, the measure of angle ∠7 is 157°

Also, learn more about  angles from the link below:

https://brainly.com/question/28451077

#SPJ2

What is the best estimate for ?

5.75
6.25
7.5
8.1

Answers

Answer:

The answer is 6.25

Step-by-step explanation:

Root 38 is exactly 6.16441400297. That number estimated would be 6.20 since 6.16 is close to 6.20. The closest number to 6.20 is 6.25.

Which values are in the solution set of the compound inequality –8 < 3x + 7 ≤ 10? Select three options.

O –15
O –5
O –3
O 0
O 1

Answers

Answer: 1&-5

Step-by-step explanation:

alguien que me ayude por favor

Answers

i can't see the paper

answer please this question​

Answers

Answer:

p = 4√5

Step-by-step explanation:

To solve for P, we can use the Pythagorean theorem.

a²+b²=c²

(8)²+(p)²=12²

64+p²=144

p²=80

√p=√80

p = 4√5

How do horizontal and vertical translations each affect the coordinates of the points on a figure.

Answers

Answer:

Hi there!

Your answer is:

Perform the translation:

x-10

y-3

Step-by-step explanation:

A translation is how many units X moved left/right and how many units Y moved up/down!

In your case, X went left and Y went down! This means there was  a DECREASE in both of these values!

We can determine this by choosing one point and counting how many units it moved.

Lets use the point on figure 1 at (2,5)

Where did it move on figure 2? (-8, 2)

How many units left did it go? 10!

How many units down did it go? 3!

Rigid transformations is preservative of the distance between pairs of points on the figure. Horizontal and vertical translations are rigid motion transformation such that the shape and size of the figure do not change;

The sequence of translation used to move Figure 1 onto Figure 2 is T₍₋₁₀, ₋₃₎

Translate Figure 1, ten units left and three units down to move Figure 1 onto Figure 2

The reason the above sequence is correct is as follows:

Given that translations are rigid motion, we have;

The sequence of translation that will move a point on Figure 1 to the corresponding point on Figure 2 is the same as the sequence of translation used to move Figure 1 to Figure 2

The coordinates of the point on the top right corner of Figure 1 is (6, 8)

The coordinates of the corresponding point in Figure 2 is (-4, 5)

The sequence of translation, T, is given by the difference of the coordinates as follows;

The sequence of translation is T₍₍₍₋₄₎ ₋ ₆₎, ₍₅ ₋ ₈₎₎ = T₍₋₁₀, ₋₃₎

Therefore, the sequence of translation are;

1) Shift Figure 1,  10 units to the left then 2)  Shift Figure 1, 3 units down to move Figure 1 to Figure 2

Learn more about rigid transformations here:

https://brainly.com/question/23461633

What is the equation of the line passing through the points (3,1) and (6,7)

Answers

Answer:

y=2x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(3,1) and (6,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=1.

Also, let's call the second point you gave, (6,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=7.

Now, just plug the numbers into the formula for m above, like this:

m=

7 - 1

6 - 3

or...

m=

6

3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(3,1). When x of the line is 3, y of the line must be 1.

(6,7). When x of the line is 6, y of the line must be 7.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=2x+b. b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (3,1) and (6,7).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(3,1). y=mx+b or 1=2 × 3+b, or solving for b: b=1-(2)(3). b=-5.

(6,7). y=mx+b or 7=2 × 6+b, or solving for b: b=7-(2)(6). b=-5.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(3,1) and (6,7)

is

y=2x-5

Y=2x+5

Plug in x and y of each point to confirm

The perimeter of a rectangle is 90 centimeters. The length is 27 centimeters. What is the width of the rectangle?

Answers

Perimeter is 2 x length + 2 x width
We can write that as...
P=2L+2W
We also know the length and perimeter so we substitute and solve like this
90=2 x 27 + 2W
90=54+2W
90-54=54-54+2W (property of subtraction equality)
36=2W
Divide by 2 (property of division equality)
W=18

Thus, the width of the rectangle is 18 cm

NEED HELP PLZ WILL GIVE BRAINLIEST IF CORRECT!

Answers

Answer: The line is horizontal

Step-by-step explanation:

The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it

tell me some irrational numbers​

Answers

Answer:

square root of 2, pi, square root of 5, square root of 10, square root of 3, square root of 15

Step-by-step explanation:

Answer:

√8 √1.6 -√11 π √2/5

Step-by-step explanation:

hello me please asap​

Answers

Answer:

7,10,19 and 4,5,9

Step-by-step explanation:

According to the Triangle Inequality theorem, then largest side of a triangle must be smaller than the sum of the smaller sides. For example, in 5,6,8, the largest side is 8, and 5 + 6 = 11, which is larger than 8. 7 + 10 = 17, which is not larger than 19, and 4 + 5 = 9, which is not larger than 9


Which of these sets of angle measures could be the three angles in a triangle?
O 60' 70'. 80°
O 70.80.90
O 50°, 60° 70°
O 40, 50, 60°

Answers

50, 60 , 70 can be three angles in a triangle
I think 50,60, and 70 because it adds up to 180

there is 3/8 of A PIZZA IN ONE BOX AND 1/4 OF A PIZZA IN ANOTHER BOX HOW MUCH DO YOU HAVE ALTOGETHER

Answers

Answer:

5/

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation: The equation is: 3/8 + 1/4 but these are unlike fractions. Lets make them like fractions.

To make them like fractions you have to find the common denominator.

Common denominator: 8

Like fraction problem: 3/8 + 2/8 =...

5/8!

19+13x=32 plz help A:1 B:3/12/13 C:169. D:663

Answers

Answer: A

Step-by-step explanation:

19+13x+32

13x=32-19

13x=13

x=1

Which of the following lines is perpendicular to the line y = -3 x + 2 and passes through the point (–2, 8)?​

Answers

Answer:

y = 1/3x + 26/3

Step-by-step explanation:

Original equation: y = -3x + 2

Perpendicular lines have the "opposite reciprocal" slopes of each other, meaning you flip the numbers and reverse the sign.

Slope of original equation: -3

Slope of perpendicular line: 1/3

How: Reciprocal, flip the numbers: -3/1 to -1/3, then reverse sign -1/3 to 1/3

Then you substitute (-2, 8) into the new equation: y = 1/3x + b

*there's b because you don't know the y-intercept yet

Substitute: 8 = 1/3(-2) + b

8 = -2/3 + b

Add 2/3 on both sides

b = 24/3 + 2/3

b = 26/3

*this is the y-intercept

Therefore, the perpendicular equation is: y = 1/3x + 26/3

Other Questions
14. Alex writes down his car racing times for each day. Mon 5hr Tue 1hr Wed 2hr Thu 6hr Fri No drive. He drives at a constant speed of 100km/h. Work out the distance he drove each day. On which day did he drive the furthest? What are highlights?A) The tools used to draw a pictureB) Where light is hitting a piece of artworkC) Where light is NOT hitting a piece of artworkD) The main subject of a piece of art An observer who sees polaris straight overhead must be at the...Earth Science question who won The Battles of Lexington and Concord Multiple-Step ProblemMcKenna has 34 stuffed animals, Kenley has twice as many as McKenna. How many stuffed animals do the the girls have in all? SPANISHHHH SEPAKERSSSSSSSSSSSS since noah is worried about completing his research project on time, the most helpful thing he could do is to choose a topic that a. is broad b. he has no interest in c. is easy to researchd. he knows very little about What geographic feature led to the development of separate neighborhoods in Ancient Rome Mountain rangePlainsHillsA sea Consider the products you use and the activities you perform on a daily basis. Describe three examples that use both SI units and customary units for measurement. Write the slope-intercept form of the equation of each line Why is band tension put on a bandsaw blade?Group of answer choicesTo reduce the power needed to turn the bandTo keep the band tight and tracking properlyTo cut more rapidlyTo keep the blade cool Can someone please fill this out for the story "Hatchet"05.03 Novel/Short Story Analysis Worksheet ________________________________________DIRECTIONSUse complete sentences to respond to each question about your novel or short story.When providing quotes from your text, include page numbers in parentheses.Example: Describe the protagonist of your novel or short story.The protagonist of my novel is a tough 16-year-old girl named Delaney, who is struggling to raise her little sisters.Provide a quotation from the text to support your answer.Although she was just 16 years old, Delaney had spent much of them providing for her sisters. She displayed the toughnessand wearinessof someone twice her age (page 16).Title of short story or novel __________________________________________________Author ___________________________________________________________________1. Describe the setting of your novel or short story.Provide a quotation from the text to support your answer.2. Describe the protagonist of your novel or short story.Provide a quotation from the text to support your answer.3. Discuss the main conflict in your novel or short story. If the conflict is not perfectly clear yet, what do you suspect it will be? Explain who is trying to do what.Which of the four major types of conflict best describes the situation you discussed?4. Provide at least two examples of dialogue in your novel or short story that support the type of conflict you have identified.Explain how each example of dialogue supports the conflict.5. Describe two examples of rising action events in your novel or short story. Provide a quotation from the text to support your answers.________________________________________Can someone please fill this out for the story "Hatchet" Find the value of MN if AB=18 cm, BC=14.4 cm, and LM=24 cm ABCD~LMNO Can you please tell me the four types of algebraic expressions? Dialation of a triangle PLS HURRY!! This OS introduced a very cool GUI that had animations and transparencies.A. Windows XPB. Windows 2KC. Windows 98D. Windows Vista Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2) help I rly need help this is the problem I'm stuck one...... The table shows the average monthly minimum temperature of several US cities decide whether each statement about the temperature is TRUE or FALSE CITY AND STATE. AVERAGE MIN TEMP Fairbanks,AK. -16.9Fargo,ND. 0.1Duluth,MN. 1.5Grand Forks,ND. -3.1#1.the temperature of Fairbanks,AK is higher than the average temperature of Grand Forks,ND ..........is it true or false?#2.the average temperature of Grand Forks,ND is farther from Zero than the average temperature of Duluth,MN..........is it true or False?#3.teh average temperature of Fargo,ND is LOWER than teh average temperature of Grand Forks,ND..........is it true or false? put these in order starting from the smallest 6^2,3^4,2^5,5^3 PRECAL TRIG WILL MARK BRAINLIEST IF THEY RESPOND IN 5 MINS