Answer: The integers are -58, -57, -56.
Step-by-step explanation:
The difference between two consecutive integers is 1.
If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.
Integers: x, x + 1, x + 2
The sum of the first and third is: x + x + 2
3 times the sum of the first and third is: 3(x + x + 2)
That product equals -342.
3(x + x + 2) = -342
3(2x + 2) = -342
Divide both sides by 3.
2x + 2 = -114
Subtract 2 from both sides.
2x = -116
Divide both sides by 2.
x = -58
x + 1 = -57
x + 2 = -56
The integers are -58, -57, -56.
The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?
Answer:
1/2 pound for each dog.
Step-by-step explanation:
Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?
You want the units to be pounds per dog or pounds/ number of dogs.
The numerator is 6.5
The denominator is dogs (13)
Food per dog = 6.5 / 13 = 1/2
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
Answer:
the 3rd one
Step-by-step explanation:
20+17=37
-1/2+(-5/2)= -3
so 37 + ( -3 ) = -3 + 37 have the same value which is 34
Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)
The unit rate of change of d with respect to t is 8/3
How to graph the line?The statement is given as:
increase of 3 units in t corresponds to an increase of 8 units in d.
This can be represented using the following ratio
t : d = 3 : 8
Express as fraction
t/d = 3/8
See attachment for the graph of t/d = 3/8
The unit rateIn (a), we have:
t/d = 3/8
Inverse both sides
d/t = 8/3
This means that:
Slope or Rate = 8/3
Hence, the unit rate of change of d with respect to t is 8/3
Read more about linear functions at:
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Modeling Real Life At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
Answer:
17.5
Step-by-step explanation:
Half 37
Put into decimal
Answer:
Step-by-step explanation:
If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.
Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)
[tex]=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\[/tex]
Which of the following is a geometric sequence?
A. 2, –2, 2, –2, 2, –2, ...
B. 5, 3, 1, –1, –3, ...
C. –1, 0, 1, 2, 3, ...
D. 1, 2, 4, 6, 8, 10, ...
Please help!! <3
Answer:
A
Step-by-step explanation:
A is a geometric sequence with common ratio - 1.
So sorry I really need help
Answer:
(2 x 2 x 2) x (0.03125)
Step-by-step explanation:
Please help thx and will mark as brainliest if you do it correct!
30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8
A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9
solve the following problem as a percent equation: 36 is 80% of what number?
Answer:
45
Step-by-step explanation:
80%= 4/5
36 = 4/5 * ?
Take 4/5 on the other side and flip it
36 * 5/4 = ?
45=?
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
5x-y>-3
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
linear inequality in the coordinate plane.
[tex]5x-y > -3[/tex]
which can be written as
-y > -3 -5x
y < 3 + 5x ( standard way to express inequality )
Now , to get the points for graph the inequality
We will treat inequality as equation
y = 3 + 5x
x y
0 3
1 8
-1 -2
-0.6 0
Now,
As per rule of graph the inequality
The boundary line is dashed for > and <
and If the symbol ≤ or < is used shade below the line.
Therefore , graph the inequality is plotted accordingly .
Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .
To know more about graph the inequality here:
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plz help, will mark brainliest!
Answer:
the answer is "B" (thank me later) ;))
Answer:
Given:- [tex]f(x)=\frac{x-3}{x+2}[/tex]
Solution:- [tex]\left(-\infty \:,\:-2\right)\cup \left(-2,\:\infty \:\right)[/tex]
So, Answer:- [tex]All \: real\: value \: of x\: such \; that \: \neq -2[/tex]
OAmalOHopeO
help please i will give a brainist
Answer:
4 apples/ second
28800 apples in 2 hours
Step-by-step explanation:
20 apples / 5 seconds
Divide the top and bottom by 5
4 apples/ second
A few hours is 2 or 3
There are 3600 seconds in 1 hour
4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour
14400 apples/ hour
14400apples / hour * 2 hours
28800 apples in 2 hours
Answer:
4 apples per second; about 14400-43200 apples
Step-by-step explanation:
First, to find the unit rate, you need to divide the number of apples with the number of seconds...
20/5= 4 apples per second
Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...
(4)(3600) = 14400 apples
(4)(10800) = 43200 apples
And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)
write an equation that equals 6 that isnt basic addition, subtraction, multiplcation, or division
Answer:
(3² - 3) + (0x 2)
Step-by-step explanation
Help me Guess just help please
Answer:
26
is it direct or step by step?
Last week, Lamar had $983.45 in his checking account. Since then, he paid $214.67 for his car loan. He also donated $15 to the fire department. Then, Lamar deposited the $50 check his grandma sent him for his birthday. What is Lamar's balance now?
Answer:
803.78
Step-by-step explanation:
983.45-214.67=768.78
768.78-15=753.78
753.78+50=803.78
answer is 803.78
Answer:
$803.78
Step-by-step explanation:
You would subtract the car loan(214.67) from 983.45. then subtract another 15 since he is giving it away. You then add the $50 because you deposited it meaning you are getting money back into your acount.
Please check the image below for more info on the question
Answer:
The answer is A
Step-by-step explanation:
(I'm not 100% sure though, hope this helps.)
1/3(3x-6)=2x please help
Answer:
-2
Step-by-step explanation:
In the picture
Answer:
x = -2
Step-by-step explanation:
1/3(3x - 6) = 2x
3x - 6 / 3 = 2x
9x - 6 = 6x
3x = -6
x = -2
What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?
Answer:
7 is the coefficient
A coefficient is a number before a variable.
For example, in 7j, 7 is the coefficient:)
Step-by-step explanation:
HELP HELP HEL[P HELP HELP HELP HELP
sorry about the wrong file
write the answer in the comments section
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
What is the slope of the graph of y = -3x?
-1/3
1/3
-3
3
Answer:
Slope is -3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
y = -3x
↓ Compare to y = mx + b
Slope m = -3
y-intercept b = 0
Plsss help I will give brainliest!!!!
Answer:
ans is 4 I am dam sure please like me ,
Answer:
I think 4 is the answer
have a great day
God bless you
Always be happy
Never be sad
Sad is bad you
Know that
please brainlist
Mrslenbox
I need help with these questions from 11 to 20. I already did questions 1 through 10 with my math teacher but I'm not in school so please please please answer all of these answers it would mean a lot to me and would help me a lot with the math homework I need to get done, so yeah. Please help.
Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:
1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)
Answer:
-4 -6 2 -2x 3-4x 2x-3
Step-by-step explanation:
3 - 7= -4 (7 is larger so we get - sign)
-4-2=-6(we add "-" terms but they have the - sign)
-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)
x-3x=-2x(3x is larger)
3-4x=3-4x(Unlike Terms)
-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)
Mind uh... Answering my question?
Answer:
12 ounces
Step-by-step explanation:
[tex]3 \div 4 \\ = 0.75 [/tex]
1 pound = 16 ouncesmultiply the mass value by 16.[tex]0.75 \times 16 \\ = 12[/tex]
Hope it is helpful....Answer:
12 ounces
Step-by-step explanation:
graph a line with the slope of -5 and the y intercept of 4
PLEZZ HELP!!!!!!!!!!!!!!!!
Answer:
Slope m = -5
y intercept = 4
so the equation of the line is,
y = -5x+4
Plot two points, (0,4) and (1,-1)
then connect them, I've attached a graph, your graph should look like that
Answered by GAUTHMATH
Answer:
y=-5x+4
Step-by-step explanation:
y=mx+b
the slope is m
the y intercept is b
-5/1= one right and down 5
4 is the starting point on the y-axis (the vertical one)
help. . . . . . . . . . .
Answer:
I belive the slope will equate to 3/1 x
Step-by-step explanation:
Picture below maths :
Step-by-step explanation:
f(g(x))= f(2x)
f(g(x))=3+cos2x
g(f(x))=g(3+cosx)
g(f(x))=2(3+cosx)
g(f(x))=6+2cosx
where,
f(g(x))=g(f(x))
3+cos2x=6+2cosx
2cosx-cos2x+6-3=0
2cosx-cos2x+3=0
x=2pi n1+pi
n1€ z
11 = 1 + 3r + 2r
I really need help with this!!
Answer:
r = 2
Step-by-step explanation:
I'm assuming we're finding r
11 = 1 + 3r + 2r
Add up the numbers with r
11 = 1 + 5r
Subtract both sides by 1
11 = 1 + 5r
-1 -1
10 = 5r
Divide both sides by the coefficient, 5, to isolate the variable, r
10/5 = 5r/5
r = 2
Step-by-step explanation:
11=1+5r
11-1=5r
5r=10
r=10/5
r=2
If In a = 2, In b = 3, and Inc = 5, evaluate the following:
(a) In
(b) In V63c4a-2
(c)
In(a+b-3)
In(be)"
3
(d)
Answer:
-20/343
Step-by-step explanation:
Please help I suck at math
Answer: 12
Step-by-step explanation:
Find the difference between the first and second points.
Since the x-coordinates are the ones changing, find the difference between them.
2 - (-3)
= 5
Then find the distance between the second and the third points.
Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.
2-(-5)
=7
Now add the distances (5+7) and you get 12.
hope this helps!!:)
