Answer:SAME SIGNS 1. Add.
2. Sum is positive if both are positive; negative if both are negative.
5 + 8 = 13 –5 + (–8) = –13
DIFFERENT SIGNS
1. Subtract the absolute values.
2. Answer is sign of the integer with the greater absolute value.
5 + (–8) = –3 –5 + 8 = 3
Find each sum. 1. –4 + (–8)
–12
4. –16 + 11 –5
7. –49 + (–32)
–49 –81 –32 –81
2. 14 + 16 30
5. 28 +(–42) –14
8. 23 + (–23) 0
3. –43 + (–12) –55
6. 75 + (–5) 70
9. 86 + (–18)
86 68–18 68
Integers
Multiplying & Dividing
RULE
EXAMPLES
1. Multiply or divide.
2. The answer is positive if the signs are the same (both positive or both negative); negative if the signs are different (one positive and one negative).
–5 x(–8) = 40 40 4 = 10
16 x(–3) = –48 –20 10 = –2
Find each product or quotient.
1. –3 x (–8) 24
4. 0 x (–121)
0 5 –13
2. –5 x (–5) 25
3. –15 x 3 –45
5. –35 (–7)
6. –65 5
7. 240 (–4) 8. 36 12 9. (–49 7) x 8 –7 x 8
–60 3
–56
Step-by-step explanation:
A population of 752,000 people decreases at a rate of 1.4% each year. Let t represent the number of years and A(t) represent the amount after years, Which function models this situation?
Solution :
Initial population, P = 752,000 .
Rate of decrease, r = 1.4 % .
Now, population decrease in 1st year :
[tex]P_1 = P( 1 - 0.014 )[/tex]
Also, population decrease in 2nd year :
[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]
Similarly for each next x year, population will be :
[tex]P_x = P( 1-0.014)^x[/tex]
Therefore, population after x years is given by :
[tex]P_x = 752000 ( 1-0.014)^x[/tex]
Find the value of x
a. 7.5
b. 6
c. 10
d. 8
The value of the missing part of the triangle given above would be = 7.5. That is option A.
How to calculate the missing value of the given triangle?To calculate the missing length of the similar triangle, the formula listed below should be used.
That is;
a/a+b = c/c+d
where a = 8
b = 10
c = 6
d = ?
That is;
8/8+10 = 6/6+d
make d the subject of formula;
8(d+6) = 6(18)
8d +48 = 108
8d = 108-48
8d = 60
d = 60/8
d = 7.5
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What is 0^-4? What is 0^0? Please help me.
Answer:
A. Infity and B. is 1
Step-by-step explanation:
5,000 people visited a bookfair in the first week. The numbers increased by 10% in the second week. how many people visited the book fair the second week?
please show your work and explain
Answer:
5500
Step-by-step explanation:
5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week
Make x the subject of the formula
X
y = x/a+b
Step-by-step explanation:
[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]
Find the area of each geometric figure or product of the polynomial.
(5n + 3)
A) 5n2 + 4n - 1
B) 25n2 + 30n + 9
C) 25n2 + 9
D) 25n2 - 9
write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1)
Answer:
Por favor, dame una captura de pantalla de la pregunta No entiendo esto gracias
Answer:
[tex]-2x+y=-3[/tex]
Step-by-step explanation:
Recall perpendicular lines have negative-reciprocal slopes. Since the equation [tex]2y+x=4[/tex] has a slope of [tex]-\frac{1}{2}[/tex] ([tex]y=-\frac{1}{2}x+2[/tex]), any line perpendicular to it will have a slope of [tex]-\frac{1}{-\frac{1}{2}}=2[/tex].
Therefore, we have the line:
[tex]y=2x+b[/tex] where [tex]b[/tex] is the y-intercept.
We can plug in the point it passes through to find the final equation:
[tex]1=2(2)+b,\\b=1-4,\\b=-3[/tex].
Therefore, the equation of the line perpendicular to [tex]2y+x=4[/tex] that passes through the point [tex](2, 1)[/tex] is:
[tex]y=2x-3[/tex] (slope-intercept form)
However, since the initial line given is in standard form, re-write this equation to standard form:
[tex]y=2x-3,\\y-2x=-3,\\\fbox{$-2x+y=-3$}[/tex].
When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.
Answer:
force of gravity on the ball
Step-by-step explanation:
when you throw something up it will come down
can someone PLEASE help me find z and x !! (i will mark you brainliest)
Answer:
X=24 Z=110
Step-by-step explanation: correct me if im wrong because im not 100% sure.
Answer:
z=110° and x=24°
Step-by-step explanation:
z°=(5x-10)°[Being the pair of vertically opposite angle]
z+70°=180[Being the pair of straight angle]
or, z=180-70
z= 110
Again ,
z=(5x-10)°
or, 110=5x-10
or, 110+10=5x
or, 120=5x
or, 120/5=x
x=24°
Find the area of a circle with a diameter 6
What is the sum of an even number plus an odd number? please explain in detail only please, everyone is saying its always odd, others are saying its always even, shouldn't it be both I mean jesus
Answer:
The sum of an even number plus an odd number is odd.
Step-by-step explanation:
The sum of an even number and an odd number is odd.
For example:
2+3=5
11+10=21
51+32=83
The end digit of an even number is always 0, 2, 4, 6, or 8
The end digit of an odd number is 1, 3, 5, 7, or 9.
So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).
Hence, the sum of an even number plus an odd number is odd.
Help Asap 39 points pic below
PLEASE HELP MEE I NEED TO TURN THIS IN SOON
Answer:
7x=7
Step-by-step explanation:
What is the translation rule for this transformation?
options:
T(x, y) -> (x+3, y+6)
T(x, y) -> (x-3, y-6)
T(x, y) -> (x -6, y-3)
T(x, y) -> (x+6, y+3)
9514 1404 393
Answer:
(b) T(x, y) -> (x-3, y-6)
Step-by-step explanation:
Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...
T(x, y) ⇒ (x-3, y-6)
x = [?]
5x - 5
2x + 10
Answer:
I thinks it’s 7x + 5
Step-by-step explanation:
please help and show work if you can
Answer:
38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]
39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]
Step-by-step explanation:
38. Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
38 + 110 + <2 = [tex]180^{o}[/tex]
148 + <2 = [tex]180^{o}[/tex]
<2 = [tex]180^{o}[/tex] - 148
<2 = [tex]32^{o}[/tex]
Thus,
<1 = [tex]38^{o}[/tex] (alternate angle principle)
<3 = [tex]110^{o}[/tex]
Therefore;
<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]
39. <2 = [tex]28^{o}[/tex] (alternate angle principle)
So that;
sum of angles in a triangle = [tex]180^{o}[/tex]
<1 + <2 + 81 = [tex]180^{o}[/tex]
<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]
<1 + 109 = [tex]180^{o}[/tex]
<1 = [tex]180^{o}[/tex] - 109
= [tex]71^{o}[/tex]
<1 = [tex]71^{o}[/tex]
<3 = [tex]81^{o}[/tex]
<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]
what is the height of the square pyramid
Answer:
16 is the answer cuz it have base of 12 so the height will be bigger than base.
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.
Answer
Martin has 50 indie CDs and 70 dance CDs
Step-by-step explanation:
5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs
28 divided by 5 gvbhcjdxksalskdfjghnvjckfkckkvkvjv
Answer:
5.6
Step-by-step explanation:
HAve a nice day!
On a coordinate plane, the center of a circle P is at the point (2, 15) . Point M is located on the circle at (7, 3). Which equation describes circle P?
Answer: (x - 2)^2 + (y - 15)^2 = 13^2
Step-by-step explanation:
We know that the general equation for a circle is:
(x - a)^2 + (y - b)^2 = R^2
Where:
(a, b) is the center of the circle
R is the radius of the circle.
First, we know that the center of the circle is the point P, (2, 15)
Now, we also know that point M, (7, 3), is located at the circle.
Then we know that the radius of the circle will be equal to the distance between point P and point M.
Remember that the distance between two points (a, b) and (c, d) is:
Distance = √( (a - c)^2 + (b - d)^2)
Then in our case, we have:
Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13
This means that the radius of the circle is R = 13.
Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:
(x - 2)^2 + (y - 15)^2 = 13^2
What is the surface area of the right cone below?
Answer:
54 is anwer.
please mark me brainliest and follow me my friend.
because 54 is correct answer.
The value of surface area of the right cone is,
⇒ 54π units²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Radius of cone = 3 units
Slant height = 15 units
Now, The formula for the total surface area of a right cone is,
T. S. A = πrl + πr²
Hence, We get;
The value of surface area of the right cone is,
⇒ π x 3 x 15 + π x 3²
⇒ 45π + 9π
⇒ 54π units²
Thus, The value of surface area of the right cone is,
⇒ 54π units²
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Brad went to Walnut and purchased 4 pounds of cashews and 2 pounds
of peanuts for a total of $36. Roberto also went to Walnut but purchased
7 pounds of cashews and 6 pounds of peanuts for a total of $73.
Price per pound for cashews was $
Price per pound for peanuts was $
Answer:
Price per pound for cashews = $7
Price per pound for peanuts = $4
Step-by-step explanation:
Let,
x be the price per pound of cashews
y be the price per pound of peanuts
According to given statement;
4x+2y=36 Eqn 1
7x+6y=73 Eqn 2
Multiplying Eqn 1 by 3
3(4x+2y=36)
12x+6y=108 Eqn 3
Subtracting Eqn 2 from Eqn 3
(12x+6y)-(7x+6y)=108-73
12x+6y-7x-6y=35
5x=35
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{35}{5}\\x=7[/tex]
Putting x=7 in Eqn 1
4(7)+2y=36
28+2y=36
2y=36-28
2y=8
Dividing both sides by 2
y=4
Hence,
Price per pound for cashews = $7
Price per pound for peanuts = $4
Solve for x.
3x - 4
8
R.
T
S
2x + 9
what is the answer
someone please help!
IT IS THE THIRD ONE:
3+8.486
because I find it like that
Which of the following is equivalent to the expression (mn)^1/5?
Answer:
its not showing me the equation
Step-by-step explanation:
>>>>>
Does anyone know how to tell if a graph is inverse
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph
Juanita decided to start saving for college. She deposited $500 into an account which earns 4% simple annual interest. How much will she have in her account after the end of the three years?
A: $60.00
B: $440.00
C: $560.00
D: 562.43
Answer:
The answer is D
Step-by-step explanation:
What is the answer??
Answer:
I think its lines cause u use lines when you draw
a choir director made a histogram showing the ages of the members of the choir. which statement about the data in the histogram must be sure?
answer options are in the picture!!
Answer:
the Choir has total of 100 members must be correct answer
more than half......................... can't be right cause there r exactly 50 members between 43-73,
second one can't be right cause no data was given no. of men and women
there r 35 members exactly who r less than 32 years so it's wrong.
hope it helps.
Answer:
the Choir has total of 100 members
Step-by-step explanation:
The pic is the question! Please help
Answer:
93
Step-by-step explanation:
150×62%
150×62/100
15×62/10
=930/10
=93
Answer:
93 is your correct answer
Step-by-step explanation: