Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
First question
a.)y = 3x - 4
Comparing with the general equation above
Slope / m = 3
The y intercept / b = - 4
Second question
b).4x - 5y = 15
First we must write the equation in the general equation above by making y the subject
That's
5y = 4x - 15
Divide both sides by 5
That's
[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]
We have
[tex]y = \frac{4}{5} x - 3[/tex]
Comparing with the general equation above
Slope = 4/5
Y intercept = - 3
Hope this helps you
Problem 5 (from Unit 2, Lesson 5)
Select all the ratios that are equivalent to each other.
4:7
8:15
16:28
2:3
20:35
Answer:
20:25 probably don't quote me
In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.
Answer:
(x-1)!
Step-by-step explanation:
lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!
Which property is illustrated?
x+y=y+x
Answer:
The Communitive Property of Addition
Step-by-step explanation:
The properties are
Communitive: You can switch the order and still get the same answer
Assosiative: You can switch what numbers are in the parentheses and still get the same answer (if you're only adding) a+(b+c)=c+(a+b)
Distributive: (a*b)+(a*c)=a*(b+c)
Identity: You can add a number with 0 and get the same number you started with
y+x=x+y is the communitive property because, no matter which order the numbers are, you get the same answer
tan x = -0.25 for 0< x < 720
Answer:
Below in bold.
Step-by-step explanation:
The smallest angle for which -0.25 is the tangent is in the second quadrant and is 165.96 degrees. The other angle in the fourth quadrant is 345.96 degrees.
So for the range 0 to 720, x = 165.96, 345.96 and 360 + 165.96 = 525.96 and 345.96+360 = 705.96 degrees.
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone.
Answer:
10 hrs
Step-by-step explanation:
4.12/2 = 2.06 hrs / person
I need help please 4x-6y=36 how to show my work please help it would mean a lot :)
Answer:
Solving for x:
[tex]x = \frac{3}{2} y + 9[/tex]
Solving for y:
[tex]y = \frac{2}{3} x - 6[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
Translate the following verbal expression into an algebraic expression ... "The quotient of a number and four decreased by five"
Answer:
n/(4-5)
Step-by-step explanation:
A quotient of a number and... means that the number is being divided by whatever comes after. In this case the number that comes after is '4 decreased by 5', which is 4 - 5 as the -5 takes 5 away so it 'decreases it by 5'. Therefore is the expression is 'the quotient of a number and four decreased by five' then it is expressed in the following way (using n for number):
n/(4-5)
Hope this helped!
16. The graph shows the favorite colors chosen by some middle school student
Red
Favorite Colors
Yellow
Orange
Blue
Green
Black
Pink
Purple
9
10
Number
Which statement is supported by the information in the graph?
A. Fewer than 30% of the students chose red, yellow, or orange as the
favorite color.
B. More than
10
of the students chose pink as their favorite color.
C. Exactly 18% of the students chose blue as their favorite color,
favorite color.
D. Exactly of the students chose green, black, or purple as their
Answer:c.exactly 18% of students chose blue as their favorite color. I think
Step-by-step explanation:
28 people ordered dessert
2/7 ordered ice cream
the rest ordered the special
how many people ordered the special
Answer:
20 people
Step-by-step explanation:
The first step is to find out how many people are in 1/7 of the group. To do this, we divide 28÷7, and our answer is 4.
28÷7=4
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
Now we know that 8 people ordered ice cream. To find the number of people who ordered the special, we subtract 8 from 28.
28-8= 20
Therefore, 20 people ordered the special. Hope this helps!
If 28 people ordered dessert, 2/7 ordered ice cream then 20 people ordered the rest.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that 28 people ordered dessert.
2/7 ordered ice cream and the rest ordered the special how many people ordered the special.
1/7 of the 28 people is 4.
Our next step is to find out how many people are in 2/7 of the group. We would double the 4, since 1/7 doubled is 2/7, and get 8.
4 x 2= 8
we know that 8 people ordered ice cream.
To find the number of people who ordered the special, we subtract 8 from 28.
Twenty eight minus eight equal to twenty.
28-8= 20
Hence, 20 people ordered the special.
To learn more on Equation:
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4(x - 1) =2(x + 2)
10. 8
Answer:
9.4
Step-by-step explanation:
please help help help
Answer:
I'm fairly sure its 4.93 grams.
Step-by-step explanation:
you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.
the density formula is D=M/V
D= Density
M=Mass
V=Volume
so it would be
D= 35.49/7.2
which is 4.93.
again this is just from what I remember of science class.
Answer: 4.93g/cm^3
Step-by-step explanation:
Formula for Density: D = mass / volume
We know that the mass of the unknown object is 35.49g
Mass = 35.49g
To find the volume
Initial water level: 45.1 mL
Final water level: 52.3mL
52.3cm^3 - 45.1cm^3 = 7.2cm^3
Volume = 7.2cm^3
Density = 35.49g/7.2^3
Density =
Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 A pound, and a loaf of bread is $2.00. he has $8.00 to spend. How many pounds of tomatoes can he buy? Write the equality to solve the problem let X be the number of pounds of tomatoes.
Answer:
5 pounds of tomatoes
Step-by-step explanation:
5 pounds of tomatoes
8-2=6
6/1.20=5
A farmer applies different fertilizer to his wheat crops to see which will make his plants grow the highest.
What is the independent variable?
Answer:
highest )hope this helps :)
Step-by-step explanation:
Answer:
The crop
Step-by-step explanation:
As the type of fertilizer changes it can not be the independent variable. Since nothing else (except the farmer) is referenced we can deduct that the crop is the independent variable.
Kira runs each lap in 7 minutes. She will run less than 42 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.
Answer:
n=6
Step-by-step explanation:
order from least to greatest: -0.8, 2/5, 0.825, -3/5
help i need help i can't figure this out
Answer: A) 23
Step-by-step explanation:
3^2 + ( 6 - 2 ) ⋅ 4 -6/3
3^2 + 4 ⋅ 4 -6/3
9 + 4 ⋅ 4 -6/3
9 + 16 -6/3
25 - 6/3
75/3 -6/3 = 69/3
69/3 = 23
Answer:
23
Step-by-step explanation:
3^2 + (6 - 2) x 4 - 6/3
3^2 + 4 x 4 - 6/3
9 + 16 - 6/3
25 - 6/3
6/3 = 2
25 - 2 = 23
Which expression does NOT have a Greatest Common Factor?
Answer:
4x^2-9
Step-by-step explanation:
i just took the quiz
This is about greatest Common factor (G.C.F) thus Option C and Option D does not have a greatest common factor.
What is Greatest common factor?The Greatest common factor between 2 or more numbers is simply the greatest factor that is common to all the numbers.
Option A; 2x² -18
Factors of 2 are 1, 2
Factors or 18 are; 1, 2, 3, 6, 9, 18
In this option we can see that 2 is the only common factor between all the numbers.
Thus, the GCF = 2 So this has a GCF
Option B: 3x² + 12x + 6
Factors of 3 are 1, 3
Factors of 6 are 1, 3. 6
Factors or 12 are; 1, 2, 3, 4, 6, 12
The highest common factor is 3 Thus, this has GCF.
Option C; 4x² - 9
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
Option D; 6x² + 2x² + 5x
The factors of 9 are; 1, 3, 9
The factors of 4 are; 1, 2, 4
Since there is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.
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Sophie drove 162 miles in 3 hours. How fast did she drive in hours per mile
Answer:
54 Miles Per Hour
Step-by-step explanation:
162/3
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer: can i help wat is a tip
HELP PLS IF U DONT KNOW CEASE IT DONT ANSWER ONLY ACCEPTING VARIFIED ANSWERS !!!!!!
Answer:
31%
Step-by-step explanation:
use the formula :
P(A&B) / P(B)
meaning :
probability that a student graduates while on fin aid / student on fin aid
= 1879/6101
=1879/6101 *100
= 30.798....
= 31%
a recipe for one pumpkin pie calls for 1 1/4 cups of sugar Elena only has 1/2 cup of sugar and she needs to make for pumpkin pies how many more cups of sugar does Elena need to make All 4 pies?
Answer: she would need four and a half cups more of sugar.
Step-by-step explanation:
You have to add together all of them sugar she would have needed so (1 1/4 times 4) and then subtract what she already had and that gives you 4 and 1/2 cups she would need. Hope this helps
Answer: 4 and 1/2
Step-by-step explanation:
You add together all of the sugar that she would have needed which is 1 1/4 * 4 and then subtract what she already had before which would give you 4 and 1/2 cups she would need.
The figure below shows how Ali spends his time in a day. Calculate the number of hours Ali
spends on playing.
Answer:
75°C = 5h
Step-by-step explanation :
1. Make sure your mind is fresh and that you understand each step before reading
2. 24 hours is equal to 360°C
3. so now lets break up the hours. We can do this by choosing a simple degree that was given in the diagram. For example "Watching tv".
Tip : when choosing one of the degrees , ( i mean one of the choices like watching tv, playing and sleeping) , try choosing the simplest one , which has a simple number and a multiple of 360.
so now you want to know how many hours is 60 equal to .
= 360 ÷ 60 = 60 (this is to make sure the number is a multiple and will not be a decimal )
= 24 ÷ 6 = 4
this means Ali spend 4 hours watching tv
and by doubling that you get 60°C = 4h
the amount of time he slept 120°C = 8h
and you keep playing with the numbers like that
so for playing
60°C = 4h
divide by 4 15°C = 1h
× by 5 75°C = 5h
this means ali spends 5h playing , 8h sleeping, 4h watching tv and 7 h studding
For the pair of functions, find (f o g)(x) and (gof)(x).
f(x) = -2x2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
I need help with this Algebra
Answer:
Step-by-step explanation:
f(-3) = 3(-3)^3 + 5 = 3(-27) + 5 = -81 + 5 = -76
g(4) = -4(4) - 1 = -16 - 1 = -17
practice/t5a5554218e050007ec4146/class/585909a8b011100008b3201a/uta/5f5bd0affle7ee00086710di/gid/0 Homework BOOKMARK O PLAY 1 Simplify (do not evaluate) each expression using the exponent rules from today's. Show your answer as a single base and exponent. 82 x 87 =
Do you know who Creati is? He deleted all of my progress and a bunch of other peoples, so I'm trying to get a lot of points and start a protest.
what is the distance between the two points shown on the graph?
Answer:
A- 19
Step-by-step explanation:
To find the distance between two points on a graph just count the number of points inbetween the two numbers. I hope my answer was helpfull and accurate. Have a lovely day!
6) The rectangle below has a perimeter of 46. Find its area:
Answer:
Step-by-step explanation:
Perimeter= 46
Area of rectangle= Length * Width
Ratio = 2 : 1
= Length= 2/3 * 46 = 30.6/2 = 15.3
Width = 1/3 * 46 = 15.3/2 = 7.65
Area= 117.045
EASY 13 POINTS!!!!!!!
Answer:
42
Step-by-step explanation:
Graph all the points and then measure their lengths. Use Pythagorean Theorem for slanted sides. Picture explains everything. Sorry if my graph is a little messy, but you get the idea.
563x367
use scratch paper to help you
Answer: 206621
Step-by-step explanation:
563x367=206621, so 563x7=3941, 563x60=33780, and finally 563x300=168900. Add them all up, 3941 + 33780 + 168900 = 206621.
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solve 20x5y=15 for y
Answer:
Step-by-step explanation: