The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?

PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT

15 POINTS

Answers

Answer 1
Answer:

-16

Step by Step Explanation:

-7 and -8 are consecutive integers.

-7+-8=-15

Add 1 to -7 and you get -6.

Subtract 2 from -8 and you get -10.

-10+-6=-16
Answer 2

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,

x + (x+1) = -15

2x + 1 = -15

2x = -16

x = -8

Thus, the smaller integer is -9 and the larger integer is -8.

Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.

Smaller Interger = -9 + 1 = -8

Larger Integer = -8 - 2 = -10

Further,  the product of the two resulting integers is,

Product = -8 × -10

             = 80

Hence, the product of the two resulting integers is 80.

Learn more about Multiplication:

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Related Questions

Explain how to angles can be supplementary angles?

Answers

Answer:

if the sum of all the angles equal 180

Step-by-step explanation:

the sum equals 180 ...

Solve for y
-1 + y/8< 15

А. У<7/4
B. y < 2
C. y < 112
D. y<128​

Answers

Answer:

D. y < 128

Step-by-step explanation:

-1 + y/8 < 15

y/8 < 15 + 1

y/8 < 16

y < 16 × 8

y < 128

Answer:

Y<128

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

1/8y-1<15

Step 2: Add 1 to both sides.

1/8y-1+1<15+1

1/8y=16

Step 3: Multiply both sides by 8.

(8)*(1/8y)<(8)*(16)

Y<128

At soccer practice, Laurel and Erika stook back to back at the center of the field. Erika ran 20 yards south and 13 yards east. Laurel ran 24 yards north and 18 yards west. Once there, Erika kicked a soccer ball in a straight line to Laurel. How far, to the nearest tenth of a yard, did the ball travel to get from Erika to Laurel?

Answers

The ball traveled 53.9 yards

If xy>0, then the points of P(x,y) lies...

Answers

Answer:

In Quadrant I or III

Step-by-step explanation:

We know if the sign was not showing closed inequality facing other way

xy < 0 would be in the 2nd or 4th quadrant.

If xy = 0  then either xy or both are on the x or y axis

But if xy>0 then they are in quadrant I or III

If xy>0, then the points of P(x,y) lies in Quadrant I and III

Quadrants on the Cartesian plane

According to the given condition;

xy > 0

This means that the product of x and y is a positive number.

Hence, either both x and y-coordinates are positive or are both negative

Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.

Read more on Cartesian plane;

https://brainly.com/question/14325342

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

80 degrees

Step-by-step explanation:

180-100=80 degrees

Answer:

[tex]80 \: \: degrees[/tex]

Step-by-step explanation:

Angels in a straight line = 180°

Let the ACE angle be x

Given that

ACD angle =100°

[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points​

Answers

Answer:

f1: 0.440, f2: 0.931, f3: 1.519

Step-by-step explanation:

To solve the system of equations we need to use the inverse of matrix A, as follows:

A x F = C

A^-1 x A x F = A^-1 x C

I x F = A^-1 x C

where I is the identity matrix.

The inverse of A is:

          1.450 -0.392 -0.090

A^-1 = -0.074 -0.022 0.1536

         -0.406 0.7122 -0.060

(computed with Excel)

The multiplication between the inverse of A and C gives:

                0.440

A^-1 x C = 0.931

                1.519

(computed with Excel)

Answer:

1f = .441

f2 = .931

f3 = 1.520

Step-by-step explanation:

did it on edge 2020

Find an equation of the line containing the given pair of points (4,1) and (12,7)

Answers

Answer:

Y = 3/4 X -2

Step-by-step explanation:

Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.

Factor to find the zeros of the function k(x) = x2+ 10x - 200.

Answers

Answer: x=10, x=-20

Step-by-step explanation:

To find the zeros of the function, we will have to factor the function.

k(x)=x²+10x-200

k(x)=(x-10)(x+20)

Now that we have factored the equation, we set the equation eaul to 0 to find the zeros.

0=(x-10)(x+20)

x-10=0

x=10

x+20=0

x=-20

Answer:

Solve the rational equation by combining expressions and isolating the variable

v

v

.

v

=

x

k

+

10

k

200

k

x

Step-by-step explanation:

remove all perfect squares from the square root of 180

Answers

Answer:

It should be 6 square root of 5 or about 13.4 (decimal form)

a matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?

Answers

Answer:

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Step-by-step explanation:

Let the total no. of adults who saw the move be x

Let the total no. of child who saw the move be y

Given that the total number of adults (a) and children (c) who saw a movie was 35

thus. x + y = 35

cost of ticket for 1 adult = $6

cost of ticket for 1*x  adult = $6*x = $6x

cost of ticket for x  adult = $6x

cost of ticket for 1 child = $1

cost of ticket for 1*y  child = $1*y = $y

cost of ticket for y  child =  $y

Total cost for  x adult and y child = $(6x+y)   _______(2)

Given that he total money collected was $70

Thus, we have two equations

6x+y = 70  -------(1)

x + y = 35

y = 35 - x  (using this value of y in equation 1 we have)

6x + 35 - x = 70

=> 5x = 70 -35 = 35

=> x = 35/5 = 7

The number of adults who saw a movie that day is 7

and

the pair of equations that can be solved to find the numbers is

6x+y = 70

x + y = 35

Is this false, if it is why is it false or true?!

Answers

Answer:

Yes, this is false.

Step-by-step explanation:

[tex]\frac{2}{4}[/tex] is really 0.5

[tex]\frac{8}{20}[/tex] is really 0.4

So, it is not equal. If you need me to explain more. I will. :)

Answer:

False. [tex]\frac{8}{20} = \frac{2}{5}[/tex]

Step-by-step explanation:

When you divided [tex]\frac{8}{20}[/tex] by GCF your answer comes out as [tex]\frac{2}{5}[/tex].

I.e.) The GCF is (4)

[tex]\frac{8}{20}[/tex] ÷ [tex]\frac{4}{4}[/tex]=[tex]\frac{2}{5}[/tex]

11. The x-intercept of the line 2x + 3y – 36 = 0 is:

Answers

Answer:

(18,0)

Step-by-step explanation:

2x + 3y – 36 = 0

The x intercept is when y = 0

Solve for x

2x + 3*0 – 36 = 0

2x +0 -36 = 0

2x -36 =0

Add 36 to each side

2x-36+36 = 36

2x = 36

Divide each side by 2

2x/2 = 36/2

x = 18

Answer:
The x-intercept of the line 2x + 3y - 36 = 0 is (18, 0)

Explanation:
Graph 2x + 3y - 36 = 0 and find the x-intercept.

Find the measure of an exterior angle of a regular hexagon

Answers

Answer: 60 degree angle

Step-by-step explanation:

The rule for polygons is that the sum of the exterior angles adds up to 360. Since there are 6 exterior angles on a 6 sided polygon (hexagon), then we can divide 360 by 6 to find the measure of an exterior angle. This means that one exterior angle of a hexagon is equal to 60 degrees.

Write the equation of the line parallel to y = (3/5)x -9 and goes through the point
(-3, 8).
y + 3 = (-3/5)(x +5)

y + 8 = (5/3)(x - 3)

y - 3 = (3/5)(X + 8)

y - 8 = (3/5)(x + 3)

Answers

Answer:

y - 8 = (3/5)(x + 3)

Step-by-step explanation:

If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?

Answers

(2x - 3) - (x^2 + 3)

2x - 3 - x^2 + 3 Remove parentheses...

2x - 3 - x^2 - 3 Collect like terms and solve...

2x - 6 - x^2 Re-order terms...


ANSWER: -x^2 + 2x - 6



Answer:

the answer is  -x^2 + 2x - 6

Step-by-step explanation:

Stephanie uses 4 cups of flour to make 10 tortillas. How many cups of flour will she use to make 25 tortillas?

Answers

Answer: 10 cups

Step-by-step explanation:

10 tortillas = 4 cups

25 tortilas = 25/10 x 4 = 10 cups

Answer:

10 cups

Step-by-step explanation:

Let's use a ratio:

cups : tortillas

   4    :     10

   2    :      5

  10    :     25

Stephanie needs 10 cups of flour.

Find the sum of the first 14 terms for the sequence -2,10,-50,....

Answers

Answer:

Step-by-step explanation:

a=-2

r=10/-2=-5

[tex]s_{14}=a\frac{r^n-1}{r-1} \\=-2\frac{(-5)^{14}-1}{-5-1} \\ =\frac{1}{3}(5^{14}-1)\\=\frac{6103515625-1}{3}\\=\frac{6103515624}{3}\\=2034505208[/tex]

May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?

Answers

Answer:

The simple interest she earns is $80

p=500

r=8

t=2

Now,

SI=p×t×r/100

SI=500×2×8/100

SI=80

Answer:

[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]

Step-by-step explanation:

Given:

May invested $500 at 8% p.a. for 2 years.

Solve for:

The simple interest she earned.

Step 1: Define the formula to calculated the simple interest

Interest = Principal x Rate x Year

Step 2: Perform the calculation

With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2

Interest = 500 x 0.08 x 2 = 80$

Hope this helps!

:)

Find the ninth term of the geometric sequence a4= -135,r=-3

Answers

Answer:

The nth term of the geometric sequence is is 32805

Step-by-step explanation:

The nth term of a geometric sequence is given by

[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]

Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio

We are given the fourth term of this sequence

[tex]a_4 = -135[/tex]

The common ratio is

[tex]r = -3[/tex]

Once we find the 1st term then we can find any other term.

[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]

So the ninth term of this geometric sequence is

[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]

Therefore, the nth term of the geometric sequence is is 32805

If two coins are flipped, what is the probability that both coins will not land on heads?

0%
25%
50%
75%

Will mark as brainliest!

Answers

Answer:

50%

is the probability of this question

Answer:

25%

Step-by-step explanation:

We have 4 choices when flipping two coins, HH, HT, TH and TT where H and T are heads and tails respectively. The only option where both coins will not land on heads is TT so the probability is 1/4 = 25%.

Answer the question below

Answers

Answer:There are 96 apples in the 12th bag.

Step-by-step explanation:

Firstly, you add the number of apples in the 11 bags.

6+28+16+27+10=87

If the mean number of apples in the 12 bags were 8, the total number of apples are 96.  

Using this info, we subtract 87 from 96 to 9.

Hence, there are 9 apples in the 12th bag.

Find the value of x !!!

Answers

If you take 180-90 because of the right angle would be 90° then -15 you will get 75 which will be X

Answer:

x = 5

Step-by-step explanation:

From the Euclidean theorem

10^2 = x(x + 15)

100 = x(x+15) from this equation we can conclude that x = 5 and when

added to 15 it'd be 20 and multiplied by itself the result is equal to 100

A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
185 m
English
Support | Schlogging | PROFPOLICE | Tesale

Answers

Answer:

C =31.4 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * 3.14 * 5

C =31.4 inches

________________________________

Solution,

Radius(r)=5 inches

Circumference of the circle=?

Now,

Circumference of circle= 2 pi r

=2*3.14.5

=31.4 inches.

Hope it helps...

Good luck on your assignment

_______________________________

6. Jim received a total piecework paycheck of $291.81. He receives 71 cents per unit produced.
How many units did he produce?

Answers

He produced 411 units.

How did I get that?

Divide 291.81 by 0.71.

Answer:

411

Step-by-step explanation:

Take the total amount earned and divide by the price per piece to determine the number of pieces made

291.81/ .71 =411

He made 411 pieces


What is 1/7
as a decimal?
Give your answer rounded to 2
decimal places.

Answers

1/7 as a decimal is 0.1428571429

But if you round that to the nearest 2 decimal place it is 0.14

I really hope this helps.

match the words that have the same roots. Every word listed has a matching word.

Answers

Answer:

Biology- Biography, Mortal-Mortify, Percent-Century, Revise-Adviser, dialogue-monologue.

Step-by-step explanation:

Bio

Mor or Mort

Cent

Vise

Logue

Are all the different latin roots present here.

Answer:

1) biology- biography

2) revise-adviser

3) mortal-mortify

4) percent- century

5) dialogue-monologue.

Step-by-step explanation:

1) Bio-Bio

2) vise-viser

3) mor-mor

4) cen-cen

5) logue-logue

are all matching words.

someone please help me !!!

Answers

Answer:

x = 120°

Step-by-step explanation:

The equation is given to you:

The sum of the interior angles can be found using the equation:

Sum = (n - 2)180

Note that:

n = # of sides.

Plug in 6 for n in the equation.

∑ = (6 - 2)180

First, solve for the parenthesis:

∑ = (4)180

Next, multiply:

∑ = 4 * 180

∑ = 720

You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:

720/6 = 120

120° is your answer.

~

Answer:

the answer is 120 degrees

This one has really stumped me, if you could also explain how you got the answer (as well as the answer) that would be amazing! Thank you!

Answers

Answer:

98092718

Step-by-step explanation:

lets convert cubic yards to cubic meters

1 cubic meter=1.30790290586 cubic yard

there is an estimated amount of about 750,000,000*1.30790290586 cubic yards

750,000,000*1.30790290586= 980927179.395 cubic yards

now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10

980927179.395/10=98092717.9395

round to the greatest whole number (there can't be any sediment left on Mt. Helens)

98092717.9395 to 98092718

we need 98092718 dump trucks to scoop it all up

If f(x) = 3x - 12, what is f(2)?
O A. -6
O'B. 6
O c. 18
O D. -18
Helppp mee plzzz

Answers

Answer:

f(2) = -6

Step-by-step explanation:

f(x) = 3x - 12

Let x =2

f(2) = 3*2 -12

     = 6-12

       = -6

What is the solution to the system of linear equations?
2x + y = 7
x - 2y = 16
A)(4,-1)
B)(-1,9)
C)(6,-5)
D)(-5,6)

Answers

Answer:

(6, -5)  (Answer C)

Step-by-step explanation:

Multiply the first equation by 2.  We get the following equivalent system:

4x + 2y = 14

 x - 2y  = 16

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

  5x = 30, or x = 6.

Substituting 6 for x in the second equation, we get

6 - 2y = 16, or

  -  2y = 10, so that y = -5

and the solution is (6, -5)  (Answer C)

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