Answer:
y= -1/4x + 9
Step-by-step explanation:
When given the point (8,7) and the slope -1/4, you have to convert this into a formula called point slope form. This is the formula:
y - y1 = m(x - x1)
First, label the given information.
-1/4= m (slope)
8= x1 (the first x given)
7= y1 (the first y given)
Then, plug in the values into the equation
y - 7 = -1/4(x - 8)
After, do the property of distribution by multiplying the -1/4 with whatever is in the bracket
-1/4 multiplyed by x= -1/4x
-1/4 multiplyed by -8= 2
Next, bring the 7 to the other side of the equal sign by adding the 7 from one side to the 2. Then combine like terms
y - 7 = -1/4x +2
+7 +7
This gets you your answer:
y = -1/4x +9
For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank.
6 = 3 x - 9
Answer:
x=5
Step-by-step explanation:
solution;
6=3x-9(carry alike terms to the same side that'd be +6-9)
+9+6=3x
15=3x(divide both sides by 3)
5=x
(thanks,sorry and welcome)
The solution to the given equation 6 = 3x - 9 would be variable x = 5.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
To determine a solution for the variable in equation 6 = 3x - 9, we can begin by isolating the variable on one side of the equation. To do this, we can add 9 to both sides, giving us:
6 + 9 = 3x
This simplifies to:
15 = 3x
The next step is to divide both sides of the equation by 3, which will give us the value of x.
15/3 = 3x/3
Simplifying we get
5 = x
Thus, the solution for the variable is x = 5.
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will award brainliest!!!
Consider the equation below.
The equation was solved using the following steps.
Answer:
Step-by-step explanation:
Step 1: -3 to 4x and -7 (Multiply)
Step 2: 2x (Add)
Step 3: 21 (Subtract)
Step 4: -10 (Divide by)
I hope this helps!
Please help me with this??
19)
[tex]90 = 21x + 6\\-21x = 6 - 90\\-21x = -84\\x = 4[/tex]
20)
[tex]75 = 11x - 2\\-11x = -2 - 75\\-11x = -77\\x = 7[/tex]
21)
[tex]60 = 8x - 4\\-8x = -4 - 60\\-8x = -64\\x = 8[/tex]
22)
[tex]132 = x + 139\\-x = 139 - 132\\-x = 7\\x = -7[/tex]
23)
[tex]-1 + 14x = 12x + 17\\14x - 12x = 17 + 1\\2x = 18\\x = 9[/tex]
24)
[tex]23x - 5 = 21x + 5\\23x - 21x = 5 + 5\\2x = 10\\x = 5[/tex]
1) A recipe for cookies calls for 4 cups of flour and 2 cups of sugar. What is
the amount of flour and sugar needed for 1,2,3,4 and 5 batches of cookies
Answer:
4:2 8:4 12:6 16:8 20:10
Step-by-step explanation:
4:2 is the amount needed for each batch so you can multiply that amount by the number of batches.
Sal made 8 ft of sausage links on Friday morning. He used 4 ft for dinner service on Friday night. On Saturday morning, he made another 8 ft of sausage links and used 12 ft for dinner service Saturday night. What is the net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night?
Answer:
Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft
Step-by-step explanation:
Amount of sausage links made on Friday morning = 8 ft
Amount of sausage links used on Friday night = 4 ft
Amount of sausage links remaining = 8 - 4 = 4ft (i)
Amount of sausage links made on Saturday morning = 8 ft (ii)
So,
Total amount of sausage links = 8 + 4 = 12 ft (from (i) and (ii) )
Amount of sausage links used on Saturday night = 12 ft
Amount of sausage links remaining = 12 - 12 = 0 ft
Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft
Which graph represents a function with a rate of change of 0.5?
5
1
-5 -4 -3 -2
4
5
Ty
5
4
3
2
1
Given two points on a line, explain how you can use point-slope
form to write an equation of the line.
To find the point slope of a line you must first know the slope of the two points. You would substitute the points into the slope formula y2-y1/x2-x1.
Then you would put the slope into the point slope formula:
y-y1=m(x-x1)
"m" is the slope of the formula.
Hope this helped.
HELP PLEASE I NEED ANSWERS FAST I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!
Find the measures of all four angles.
m∠AEB = ____° m∠CED = ____°
m∠BEC = ____° m∠DEA = ____°
Answer: ∠BEA ≅ ∠BEC
Step-by-step explanation:
A woman buy a pair of shoes at a sale. She pays $60,saving $15 on the regular price. The percentage discount on the shoes is
Answer:
25 percent.
Step-by-step explanation:
15 is 1/4 of 60 and if she gets 1/4 off then that's equal to 25 percent
Use the Distributive Property to evaluate: 3(21 + 6)
Answer:
81
Step-by-step explanation:
3(21 + 6)
(3 x 21) + (3 x 6)
63 + 18
81
Answer:
3*21+3*6 = 81
Step-by-step explanation:
3(21+6) is basically 3 times 21 plus 3 times 6. You are distributing the 3 to the 21, and then also to the 6. Once you distribute the 3, you get 3*21+3*6. First, multiply 3 by 21 to get 63. Then, multiply 3 by 6 to get 18. Follow the equation and add them together to get your answer of 81.
You could also do it a different way and instead of doing 3*21+3*6, you could do the original equation, and do 3(21+6). 21+6=27 You then have 3(27). 3 times 27 is 81. You get the same answer, you could just do it a different way.
Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?
Answer:
18
Step-by-step explanation:
Multiply 12 and 2 by 3 to get the "easier to work with" fraction
[tex]\frac{12}{1}[/tex] = [tex]\frac{36}{3}[/tex]
Now, multiply two until you get 36
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36
It takes 18 times to get to 36.
That means the answer is 18.
you hear a pitch where the founder says he'll reach $30 million sales in 5 years. His first year sales are projected at $5 million. which is closest to the compound growth rate he is implying?
-10%
14%
56%
298%
Answer:
56%
Step-by-step explanation:
I just guessed and got it right lol
PLEASE can anyone help me with this problem??
9514 1404 393
Answer:
4
Step-by-step explanation:
To find the value of g(7), locate 7 on the x-axis. Follow the grid line upward until it meets the graph (blue line). At that point, follow the grid line to the left until it meets the y-axis. Read the value from the scale on the y-axis.
g(7) = 4
So, I have a question if anyone can answer soon.
The question: Jill jumped 6 1/3 feet in the long jump. Jill’s best friend jump 6 5/7 feet. How much farther did Jill’s best friend jump?
Now I know the answer is 8/21 but every-time I look up the decimal it’s like 0.3823. But, the next question that talked about if she jumped more than 6.5 feet then the seventh graders get fifty points. Now, I have tried to look up the answer cause I though I was missing something and it all has said the best friend jumped more than 6.5. How? If the decimal was like 0.3823.
Answer:
You're right must be a different problem
Step-by-step explanation:
You know this, but just to verify:
1. Find Common Denominator:
6 15/21 - 6 7/21
2. Subtract
6 15/21 - 6 7/21 = 8/21 feet
Which table represents a linear function?
pls answer quick :)
Answer:
The first table
Step-by-step explanation:
A linear function is represented when x and y are increased at a constant rate. In the first table, you can see that as x increases by 1, y increases by 1/2, thus the first table is a linar function.
2. The hamster, x, walked 20 feet. The guinea pig walked 1/4 less than that. The guinea
pig walked
feet
You question is a little unclear but I'm going to assume you meant how much the guinea pig walked.
The hamster walked 20 feet, and the guinea pig walked 1/4 less. So you find 1/4 of 20, which is 5. Then, you subtract 20 and 5: 20-5 = 15. So the guinea pig walked 15 feet.
If u place a 13 foot ladder against a 12 foot building,how many feet will the Ladder be from the building
Answer:
5 feet
Step-by-step explanation:
When you place the 13 foot ladder, the ladder, floor, and wall forms a right triangle and the ladder will become the hypotenuse.
We use the Pythagorean Theorem. Let x be the distance from the building.
x^2 +12^2 = 13^2
x^2 + 144 = 169
x^2 = 169 - 144
x^2 = 25
Take the square root of 25 and you get 5
x = 5
Explain how filing your tax return online can make payments easier.
Answer:
You won't be able to lose your files in the mail and it is way safer.
Step-by-step explanation:
Because I know
Answer:
Filling in your tax return online can make payments easier because a computer does what it's told to do ; with absolutely no mistakes, unless a bug occurs.
Step-by-step explanation:
A case of soda has 24 cans in it. There are 12 cases of soda. 1) What is the total number of cans of soda there are? 2) The soda is donated to 7 (seven) teams. How many cans of soda does each team get? {include remainder}
Answer:288 number of cans.288 divided by 7=41
Step-by-step explanation:
The supplementary angle of 57° is
Answer:
123°
Step-by-step explanation:
A supplementary is an angle where two angles add up to be 180°.We can subtract to find its supplement.
180 - 57 = 123°
Best of Luck!
Answer:
123°
Step-by-step explanation:
The supplementary angle is the other angle that makes both angles a linear pair.
So you would do 180° - 57° to solve your answer, which equals 123°
Hope this helps!
Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children’s tickets that were sold.
Answer:
74 adult tickets and 106 children tickets
Step-by-step explanation:
let x be the number of adults tickets sold out
and y the number of chlidrens tickets that sold out for the 7:15 pm show
The equations that determine our problem are
x+y=180
12.50x+8.50y=1826
lets separate x from first equation x=180-y and replace at the second equation
12.50(180-y)+8.50y=1826
12.50*180-12.50y+8.50y=1826
2250-4y=1826
4y=2250-1826
y=424/4=106
so x=180-y=180-106=74
9/2-12v=1/4
please explain how you got your awnser as well.
Answer:v= 17/48
Step-by-step explanation:
-12v=1/4-9/2 move constant to the right hand side and change its sign
-12v=-17/4 subtract the fractions
v=17/48 divide both sides by -12
. Which fraction has the greatest value?
5/9. 7/8. 12/17. 8/11
Answer:7/8
Step-by-step explanation:
It is 7/8 because it is the fraction that is closest to a whole number
A laptop computer at Best Buy costs $1250. The sales tax in Virginia is 5.3%. How much will you pay in total for the laptop including tax?
Answer:
66,25
Step-by-step explanation:
Answer:
$1316.25
Step-by-step explanation:
1250 * 5.3% = 66.25
1250 + 66.25 = 1316.25
A class walked 2.5 miles for a walk-a-thon.
How many yards did the class walk?
Answer:
4400 Yards
Step-by-step explanation:
A mile equals 1,760 yards. 2.5 times 1,760 gives you 4,400
It is given that A class walked 2.5 miles for a walk-a-thon then the class walked 4400 yards.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that A class walked 2.5 miles for a walk-a-thon.
WE are asked How many yards did the class walk.
A mile equals 1,760 yards.
If one mile is 1760 yards, then the answer should be
= 1760 times the number of miles.
So 1760*2.5 = 4400
Hence, the class walked 4400 yards.
Learn more about the unitary method;
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please help me solve this
Convection currents in the Earths mantle are caused by (please dont guess or just say anything random for points)
A.) Less dense hot magma moving downward
B.) Less dense hot magma moving upward
C.)Tectonic plate movement
D.)More dense cooler magma moving upward
Answer:
B
Step-by-step explanation:
If 3x+4=-5, what does x equal to?
First subtract 4 from both sides to isolate the 3x.
That leaves us with 3x = -9.
Since x is being multiplied by 3, to get x by itself,
we need to divide both sides of the equation by 3.
So our final answer is x = -3.
Answer:
x = -3
Step-by-step explanation:
3x + 4= -5
Subtract 4 from both sides.
3x = -9
Divide both sides by 3.
x = -3
I need help solving this
**my previous answer was wrong
Answer:
True
Step by Step explanation:
the absolute value bars are limiting the y value not x so any number between negative infinity and positive infinity can be in the domain
Sam ordered some books online for $5 each. He paid a total of $4 for shipping. The total cost of the purchase was $89. How many books did he buy?
Part a is the equation and part b is the total
Answer:
17
Step-by-step explanation:
if you subtract 4 from 89, which is the shipping cost. 89 - 4 = 85. Then divided 85 by 5 because that will show how much he paid for them in total, by how much a singular book is. Telling you how many books he bought. 85/5 = 17.
Answer:
A.) 5b+4=89
B.) 17 books
Step-by-step explanation:
To find A.), we must create a linear equation. Let b be the number of books Sam ordered. We write 5b because each book is 5 dollars. Then we add 4 dollars to the equation to represent the shipping fee. Then we write "equals to 89", because it says that is the total cost. So we get the equation 5b+$4=$89
To find B.), we must solve the equation. Isolate the variable, by subtracting 4 from both sides. We then get 5b=$85. Now we divide by 5 to get only the variable and to get rid of the coefficient. We get b=17. So Sam bought 17 books.