MATHEMATICS COLLEGE

The smaller of two consecutive numbers is x + 3. Find the sum of the two numbers.

Answers

Answer 1

Answer:

Answer:

x+3. is the first num

x +4 is the second num

the sum is 2x +7

Answer 2

Answer:

Answer:

2x + 7

Difference is 1

Step-by-step explanation:

Consecutive numbers are numbers that increase with a steady difference.

For example; 1, 2, 3 all increase with a difference of 1 (2 = 1 + 1; 3 = 2 + 1) and so on.

If the smaller of two consecutive numbers is x + 3, that means the other number which should be bigger is x + 4

Therefore the sum of both numbers is (x + 3) + (x + 4) = 2x + 7.

Their difference is (x + 4) - (x + 3) = 1

And subtracting their sum from x + 8 gives (x + 8) - (2x + 7) = x + 8 - 2x - 7 = -x + 1.

Related Questions

Find the value of x and the value of y.A x= 2√3, 7 = 43B. x= 3, y = 6/3C. x= 6/3, y = 12D. x=21/3, y = 6
If X=2 Y=3 then, xy^2
5 Which situation can be modeled by Diagram A andwhich can be modeled by Diagram B?Diagram A:Whichadditionmodelssubtrac100% of x1096 10% 10% 10% 10% 1096 1096 1096 1096 109680% of x20% of xDiagram B:120% of10% 10% 1096 1096 10% 10% 10% 10% 10% 1096 10% 10%100% of x2096 of xa.Your bill at a restaurant is $68 and you want to leavea 20% tip. What is the total amount you will leave?b. You buy a sweater that is on sale for 20% off of theoriginal price. The sweater cost $28. What was theoriginal price?
Find the first partial derivatives of the function. f(x, t) = e−9t cos(πx)
Solve the inequality 1/3h≤7

A state's license plates consist of four letters followed by three numerals, and 246 letter arrangements are not allowed. how many plates can the state issue?

Answers

The state will issue 4,56,97,354 plates

What is exponents and powers?

When anumber is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent. Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.

An exponent is the number of times a given number is being multiplied by itself.
The expression when a number is being multiplied by itself n number of times is called the nth power of the given number.

Given:

Number of letters = 4

Number of numerals = 3

As 246 letter arrangements are not allowed.

So, we have total 26 letters.

and numbers from 0 to 9.

So, the number of plates will be

= 26*26*26*26*10*10

=(26)^4 * (10)^2

= 45697600

Now, deducted those 246 letter arrangements which are not allowed

= 45697600 - 246

= 4,56,97,354

Hence, the state will issue 4,56,97,354 plates.

Learn more about this concept here:

brainly.com/question/14881584

#SPJ2

There are 26 letters in the alphabet, there are also 10 numbers 1-10. You multiply that and it would be 260.

Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

I have a 1.5% chance of winning when spinning a roulette. Approximately how many times would I have to spin the roulette to win?

Answers

Answer:

66-67 times

Step-by-step explanation:

i would go with 67

you just divide 1.5 by a 100

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.r1(t)=r2(t)=<9t-14,t^2,13t-42>t=

Answers

Answer:

The particles collide when t = 7 at the point (49, 49, 49).

Step-by-step explanation:

We know the trajectories of the two particles,

$r_1(t)=\langle t^2,16t-63,t^2\rangle\nr_2(t)=\langle 9t-14,t^2,13t-42\rangle$

To find if the tow particles collide you must:

Equate the x-components for each particle and solve for t

$t^2=9t-14\nt^2-9t+14=0\n\left(t^2-2t\right)+\left(-7t+14\right)=0\nt\left(t-2\right)-7\left(t-2\right)=0\n\left(t-2\right)\left(t-7\right)=0$

The solutions to the quadratic equation are:

$t=2,\:t=7$

Equate the y-components for each particle and solve for t

$16t-63=t^2\n^2-16t+63=0\n\left(t^2-7t\right)+\left(-9t+63\right)=0\nt\left(t-7\right)-9\left(t-7\right)=0\n\left(t-7\right)\left(t-9\right)=0$

The solutions to the quadratic equation are:

$t=7,\:t=9$

Equate the z-components for each particle and solve for t

$t^2=13t-42\nt^2-13t+42=0\n\left(t^2-6t\right)+\left(-7t+42\right)=0\nt\left(t-6\right)-7\left(t-6\right)=0\n\left(t-6\right)\left(t-7\right)=0$

The solutions to the quadratic equation are:

$t=6,\:t=7$

Evaluate the position vectors at the common time. The common solution is when t = 7.

$r_1(7)=\langle 7^2,16(7)-63,7^2\rangle=\langle 49,49,49\rangle\n\nr_2(7)=\langle 9(7)-14,7^2,13(7)-42\rangle=\langle 49,49,49\rangle$

For two particles to collide, they must be at exactly the same coordinates at exactly the same time.

The particles collide when t = 7 at the point (49, 49, 49).

Evaluate the expression 28C14

Answers

For choose notation, you...
xCy = x! / (x-y)! y!
! means factorial

(28 x 27 x 26...x 3 x 2 x 1)/(14 x 13 x 12...x 3 x 2 x 1)(14 x 13 x 12...x 3 x 2 x 1) = 40116600

Leo dug up 6 4/5 pounds oftreasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?

Answers

6 4/5 = 6.8
4 1/2 = 4.5

6.8-4.5= 2.3

Answer: 2 3/10 more pounds of treasure

Other Questions

Which of the following is a simplified form of the expression -2(x - 9) - x?

What are the coordinates of the point on the directed line segment from (-6, -3) to(5,8) that partitions the segment into a ratio of 6 to 5?

HELP PLEASE 20points!!!At a high school, 9th and 10th graders were asked whether they would preferrobotics or art as an elective. The results are shown in the relative frequencytable.