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.

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Related Questions

the diameter of a circle is 5 ft. Find the circumference TO THE NEAREST TENTH

Answers

Answer:

15.7

Step-by-step explanation:

3.14(5)

Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00

Answers

Answer:

B 6.00

Step-by-step explanation:

M= 6$

C= 9$

M+C= 6+9= 15$ per hour

PLEASE HELP! SEE ATTACHMENT
it's algebra graphing

Answers

Answer:

a- g(x)= 4/5 x -3

b- slope is 4/5

c-  vertical intercept is y= -3 when x=0

Step-by-step explanation:

Vertical compression : 4/5 f(x)

shift left you add f(x) +1

shift down you subtract : f(x)-1

the result is g(x) = 4/5 f(x) +1-4

What type of function is represented in the table?
х
5
6.5
10
13
15
19.5
20
26
25
32.5
30
39
V
O exponential
O logarithmic
O linear
O quadratic

Answers

It’s linear because it’s adding the same number each time.

The type of function is Linear.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

x  5    10    15    20    25    30

y  6.5  13  19.5  26   32.5   39

As, we can see from the table that every time the the difference between two consecutive value is same.

Hence, the function is linear.

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Line parallel to y-1=4(x+3) and passes through (4,32)

Answers

Answer:

y - 32 = 4(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 1 = 4(x + 3) ← is in point- slope form

with slope m = 4

Parallel lines have equal slopes.

Using m = 4 and (a, b) = (4, 32), then

y - 32 = 4(x - 4) ← equation of parallel line

A POLE DANCER MAKES $16.29 PER HOUR. SHE EARNS A TOTAL OF $800. HOW MANY HOURS DOES SHE WORK?​

Answers

Answer:49.10988336

Step-by-step explanation:

800 divided 16.29

800÷16.29=49.10988336

Can someone help me please?

Answers

Answer:

8 degrees

Step-by-step explanation:

Hope this helps!

Answer:

8 Degrees

Have a nice day!

Here is a list of numbers.
17
18
19
20
21
22
23
24
a) From the numbers in the list, write down a number that is a factor of 20
b) From the numbers in the list, write down a number that is a multiple of
both 3 and 7
c) Write down all the prime numbers from the list​

Answers

Answer:

A=20 B=23 C=17,19,23

Step-by-step explanation:

A=20

B=23

C=17,19,23

A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?

Answers

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)

So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:

L = 7*48in - 5*1.72in = 327.4 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.72in = 558.8 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:

L =  558.8 in +  327.4 in - 1.72in = 884.48 in

Not sure how to do these problems.

Answers

Answer:

5) 64

6) 39

Step-by-step explanation:

Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
10
8
6
4
-6-7 6 4 4 -3 -2 -1 0
2 3 4 5 6
-4
-8
-
A. (-10,-2), (-3,-1), (-2, 0),(-1, 1), (6,2)
O B. (2, 10), (1,3), (0, 2), (-1,1),(-2,-6)
O C. (10,2), (3, 1), (2.0), (1,-1).(-6, -2)
O D. (-2, 10),(-1,3), (0,2), (1, 1), (2.-6)

Answers

Answer:

A

Step-by-step explanation:

took it on ap ex

The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

What is mean by Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The graphed function are shown in figure.

Now, All the points on the graph are,

⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)

Hence, The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

Thus, ''Option A'' is true.

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Please help me. Giving all these points for correct answer.

Answers

Answer:

7.722 cm^2.

Step-by-step explanation:

The area required is 1/4 of the difference of the area of the square and the circle.

The radius of the circle = 1/2 * 12 = 6 cm.

The area required = 1/4 * (12^2 - 3.142 * 6^2)

=7.722 cm^2.

Answer:

7.72500

Step-by-step explanation:

Here are the steps for and problem like this one.

Write an inequality to represent the situation.Remove Parenthesesmultiply the numbers (in this case it would be 2×3=6)Subtract the numbers (in this situation it would be -54 - 6 = - 60)

CAN PLEASE PLEASE GET HELP PLEASE I NEED IT PLEASE AND THANK YOU

Answers

Answer:

Step-by-step explanation:

the domain for (2x-1)/(x^2-7) is x not equal to +/- sqrt(7)

pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the bizzell Gallery. Pierre earns $10,800 this month. what is the total dollar value of the art that he sells?

Answers

Answer:

$43,200

Step-by-step explanation:

25% is 1/4 of the total dollar value, to find the answer we need to multiply 10,800 by 4 (it is 1/4, and the answer will be equivalent to the 4/4)

10,800 * 4 = 43,200

The total dollar value of the art that he sells is 43200 dollars.

What is percentage ?

Percentage is the value per hundredth.We can also convert percentages into decimals by dividing he percentage value by 100.

According to the given question Pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the Bizzell Gallery. Pierre earns $10,800.

∴ 25% of the total value is 10800 dollars.

Assuming total value to be x dollars.

So, (25/100)x = 10800

(1/4)x = 10800

x = 10800 × 4

x = 43200 dollars.

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1/4 ( 8x + 16) + 4x

I apparently need 20 characters for a great answer so ignore this <3

Answers

Answer:

2x(3x + 2)

Step-by-step explanation:

Answer

102

Step-by-step explanation:

X means 3 not times, lots of people mess that up sometimes. Anyways, do 8+3 which equals 11. 8+3=11. So next what you do is you do 11 + 16 which is 27,

equations:

8+3=11

11+16=27

21/1=27

27/4= 6.75

6 x 3= 27

27 + 72 + 3= 102

Then go back to the beginning and do 1/4. If this confuses let me fix it.

now divide it with 4. Look at the equations list. Okay now do 6.72/4x. MAKE SURE TO MULTIPLY DON'T DIVIDE! You multiply 6 and 4 then you add 72 and three! Then you should end up with 102! I hope this worked message me back if it did :)

A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y=-4x + 5
O y = 4x-5
O 2y = 8x - 10
0 -2y = -8x - 10

Answers

Answer:

y = -4x+5

Step-by-step explanation:

I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5

Answer:

O y=-4x + 5

Step-by-step explanation:

I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:

"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.

"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.

"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.

"y=-4x + 5" should be the correct answer.

You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$

Answers

Answer:

The amount of interest to be paid is $105

Step-by-step explanation:

To find how much interest that will be paid, we will follow the steps below;

Simple Interest = PRT / 100

where p is the principal,  R is the rate and T is the time  in years

from the question given

principal P = $1000

Rate R = 3.5  

and time T = 3

substitute the values into the formula above

Interest = $1000×3.5×3   / 100

              =$10×3.5×3

               =$105

Interest = $105

The amount of interest to be paid is $105

Answer: no sense

Step-by-step explanation:

The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.

Set up the system of equations and solve for how old Jan and George are now.

Answers

Answer:

J - Age of Jan

G - Age of George

J + G = 65

J+10 = 4(G+10)

Step-by-step explanation:

Would the answer be b an d for this

Answers

Answer by answer key by key question equals equation

Answer:

PROBABLY A and maybe D... here's why

Step-by-step explanation:

i think its A because it goes in a straight line while the others are just wonkity wonk and D also has straight lines not goes all over the place. Idk if this is right but its what would be right for me because i'm learning about proportional graphs and how it could work and if it has to make a straight line for you than im glad this answer could help!

i tried :) hope it helps!

If two right triangles each have a 30° angle, then the
triangles must be
a equilateral
b.similar
C. obtuse
D. congruency

Answers

Answer:

b. Similar

Step-by-step explanation:

Although angles are congruent the triangles are not as sides need to be the same too.  Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.

Because the angles are congruent and sizes are not shown they must be similar.

They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.

They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.

They are not fully congruent as we do not know there side measures so they have to be similar.

Answer:

B

Step-by-step explanation:

Two triangles are similar when they share at least two angles and the only difference is size.

would you rather have 1 of 8 slices from a 10" pizza or 1 of 10 slices from a 14" pizza?

Answers

1 8 of a pizza you get more
18 pizza answers that it

what is 12000 mutiplyed by 180000

Answers

Answer:

The Answer is 2160000000

Answer:2160000000

Step-by-step explanation:

pls help (mathematics)

Answers

Answer:

Answer is C.

Step-by-step explanation:

When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.

Answer:

its not D and its not  A or B so the answer would be C...

Step-by-step explanation:

A cone holds 450 gallons of water. How many gallons of water will a cylinder hold if it has the same base area and height as the cone?

Answers

Answer:

the length is 50 gallons

Step-by-step explanation:

Zoe is making a quilt using 15 red squares and 30 green squares. Which combination shows the same ratio of red squares to green squares?

Answers

Answer:

A

Step-by-step explanation: Well 15:30 I would think is just 1:2 so looking for another ratio like that there's only one other answer. 3:6 15 is half of 30 and 3 is half of 6.

Answer:

A. 3 red squares to 6 green squares.

Step-by-step explanation:

We have 15 red squares for 30 green squares. The ratio is:

[tex]$\frac{15}{30} $[/tex]

Actually anything that is equivalent to the ratio [tex]$\frac{15}{30} $[/tex] would be the answer. Besides  [tex]$\frac{3}{6}$[/tex]  , other examples:

[tex]$\frac{1}{2} $[/tex]

[tex]$\frac{5}{10} $[/tex]

What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?
y=-3x+8
O y=-3x + 6
O y=-x-8
O y=x-6

Answers

Answer:

y=x-6

Step-by-step explanation:

The x-intercept is found replacing y = 0, as follows:

Function: y = -3x + 8

x-intercept:

0 = -3x + 8  

3x = 8

x = 8/3

Function: y = -3x + 6

x-intercept:

0 = -3x + 6

3x = 6

x = 6/3 = 2

Function: y = -x - 8  

x-intercept:

0 = -x - 8  

x = -8

Function: y = x - 6

x-intercept:

0 = x - 6

x = 6

The last option is the only one in which x-intercept is x = 6.

can we use a ruler to measure angles yes or no an why

Answers

Answer:

Step-by-step explanation:

No because rulers measure distance not angles. Rulers also do not have all the angles on them as they are not a protractor

What is the value of 4³÷ 2³ ?

Answers

Answer:

2^3 or 8

Step-by-step explanation:

[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]

Hope this helps!

Answer:

8

Step-by-step explanation:

subtract because it is division

=2x2x2

=8

hope it helps- can u pls mark as brainliest?

Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .

Answers

Answer:

Step-by-step explanation:

a1 = 5

common difference = 2nd term - 1st term= 14 -5 = 9

n = 31

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]

Answer:

i took the tests and the answer is d

The coordinate of point E is 2 and the coordinate of point Fis 5. Find
the length of segment FE.​

Answers

To find the length of FE subtract t E feom F

FE = 5-2 = 3 units long

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