Answer:
y = -2/3x + 23/3
Step-by-step explanation:
Let equation of the line be y = mx + c
m = (3-5)/(7-4) = -2/3 gradient/slope formula
sub (4, 5)
5 = -2/3 (4) + c
c = 23/3
therefore, equation of the line is y = -2/3x + 23/3
Hope it helps! :)
This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)
Find the gradient of the line segment between the points (0,6) and (2,16)
Answer:
Step-by-step explanation:
(16-6)/(2-0) = 10/2 =5
spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x
Answer:
12x + 12
Step-by-step explanation:
2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x
Solve 3x(2) = 6x
Next combine like terms
Like terms:
2x + 3x + 6x + 1x + (-3x) + 3x = 12x
4 + 2 + 4 + 2 = 12
Rewrite simplified
12x + 12
^^This is the correct answer assuming that 3x2 x is 3x(2) + x
Which is a correct interpretation of the slope of the line in this graph? (2,8) (7,6)
The volume of water in the tank is decreasing by 2 L per hour.
The volume of water in the tank is decreasing by 0.2 L per hour.
The volume of water in the tank is decreasing by 2.5 L per hour.
The volume of water in the tank is decreasing by 0,4 L per hour
Answer:
The volume of the water in the tank is decreasing by .4 an hour
Step-by-step explanation:
can someone help me with thiss?
Answer:
Step-by-step explanation:
Find the greatest common factor of 84 and 36, showing how you got your answer. Then, using complete sentences, explain what your answer means.
The greatest common factor of 84 and 36 will be 2 × 2 × 3 that is 12.
What is the greatest common factor?The term that is common in the given terms.
The terms are given below.
84 and 36
The factor of the 84 will be
84 = 2 × 2 × 3 × 7
The factor of the 36 will be
36 = 2 × 2 × 3 × 3
Then the greatest common factor of 84 and 36 will be 2 × 2 × 3 that is 12.
More about the greatest common factor link is given below.
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A test has 20 questions and is worth 100 points. The unit rate is Points per question?
Answer:
15
Step-by-step explanation:
Answer:
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what is the x variable and y variable?
Answer:
x is the hours worked and y is the money earned
Step-by-step explanation:
Usually the x variable is the independent variable
The independent variable is the variable that does not rely on anything
The y variable is the dependent variable
The dependent variable is the variable that relies on the independent variable
In this case the money earned depends on how many hours you work for
I hope this helps :)
Answer:
I believe that it would be x is hours worked and y is dollars earned but I could be wrong I skipped a year of math because I completed it so quickly now I cant remember some stuff
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms
Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
Solve 2c − 8f = 24 for f. Show your work.
Answer:
f=2 c=4
Step-by-step explanation:
8 times 2 equals 16 plus 2 times 4 equals 24 in total.
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Answer:
b.) 9/g = 28.5
Step-by-step explanation:
a.) 9g = 28.5
b.) 9/g = 28.5
c.) 28.5 = 9 x g
d.) 28.5/9 = g
Total billing = $28.50
Rate = $9 per gigabyte
Calculate the additional gigabytes, g, that you used.
Additional gigabyte used, g = Total billing / Rate
g = $28.50 / $9
9g = 28.50
28.50 = 9 × g
g = 28.50 / 9
Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.
Answer:
9/g = 28.5
Step-by-step explanation:
It's attached to the image to show proof it's right
There are 48 members of the swim team. The ratio of boys to girls is 3:5. How many girls are on the swim tearn? Explain how you found your answer.
Answer:
There are 30 girls
Step-by-step explanation:
The ratio is 3:5 so (3)*(6)= 18 boys , and (5)*(6)=30
30+18=48 members
There were 30 girls in swim team.
We have,
Total Members = 48
Ratio of Boys to Girls= 3:5
So, the number of boys are
= 3/8 x 48
= 3 x 6
= 18
and, the number of girls
= 5/8 x 48
= 5 x 6
= 30
Thus, 30 girls were in swim team.
Learn more about Ratio here:
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Skyler is buying wings and quesadillas for a party. A package of wings costs $8.00. A package of quesadillas cost $10.00. He must spend no more than $160.00. Skyler's freezer will hold a maximum of 20 packages of wings and quesadillas. Write a system of linear inequalities to represent the situation.
Answer:
The system of inequalities are;
q + w ≤ 20
8w + 10q ≤ 160
Step-by-step explanation:
Let the number of wigs be w and the number of quesadillas be q
Since we have a maximum of 20 packages;
then;
q + w ≤ 20
Let’s now work with the prices
price of w wings is 8 * w =$8w
price of q quesadillas is 10 * q = 10q
The maximum amount to spend is $160
Thus, the addition will be;
8w + 10q ≤ 160
What are three inequalities equal to 15x+20y=150?
Answer:
1. 3x+4y=30
2. 30x+40y=300
3. x+4/3y=10
Step-by-step explanation:
Which pair of functions are inverse functions
Answer:
3rd one is inverse functions
A bottle contains 3/4 gallon of fruit punch. If 6 people share the fruit punch equally, how much fruit punch does each person get ?
Answer:
each person should get 0.125 of the gallon
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
Johnny is given 18 bottles of beer and he drinks 6 of them. How much beer does Johnny have left?
Answer: 12 bottles left
Step-by-step explanation:
18-6=12 bottles
Answer:
Johnny will have 7 beer bottles left.
Step-by-step explanation:
What is the slope and y-intercept of x/3= -y+2 and how?????
Can someone help me cuz i need help
Answer:
f
klllllllllk
Step-by-step explanation:
The smallest cube has a length of 6 inches.What are the edge lengths of the other cubes if the ratios of similarity to the smallest cube are 1.25, 4/3, 1.5, 7/4 and 2 respectively
Ans is in the attachment
hope it helps :)
plz mark as brainliest
Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?
a straight line
a circle
a right angle
an obtuse angle
I NEED HELP ASAP
Answer:
straight line
Step-by-step explanation:
i did it
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?
A. There is a probability that the outcome is within 1 standard deviation of the mean.
B. There is a probability that the outcome is within 3 standard deviations of the mean.
C. There is a probability that the outcome is within 2 standard deviations of the mean.
D. Standard deviations are not reliable, so the probability cannot be determined.
Answer:
The correct answer is B or option 2.
Help!!!
By rounding each number to 1sf. Estimate the answer to 7.238 × 125.5413
Answer:
909
Step-by-step explanation:
I'm not sure if I'm right plz tell me if I'm wrong
Please help :) Please help :)
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
(4x+9)/(7/3)= 3x/0.5
Answer:
x=0.9
Step-by-step explanation:
4x+9
7
3
=
3x
0.5
Step 1: Cross-multiply.
4x+9
7
3
=
3x
0.5
(4x+9)*(0.5)=3x*(
7
3
)
2x+4.5=7x
Step 2: Subtract 7x from both sides.
2x+4.5−7x=7x−7x
−5x+4.5=0
Step 3: Subtract 4.5 from both sides.
−5x+4.5−4.5=0−4.5
−5x=−4.5
Step 4: Divide both sides by -5.
−5x
−5
=
−4.5
−5
x=0.9
Answer:
x=0.9
the difference of 7 and the reciprocal of y in a mathematical phrase
Answer:
kljnm
Step-by-step explanation:
ok
this and you get an A
Please finish 13,14,15 please I will give 10 points and brainliest
Describe the angle as it relates to the digram
;) :)
Answer:
Step-by-step explanation:
∠4 is angle of elevation from ∠C to ∠D
x·6−14=46
Answer asap!!!! thank you!!
Answer:
x=10
Step-by-step explanation:
[tex]6x-14=46\\6x=60\\x=10[/tex]
Graph the equation y= -1/2x
The graph of equation y = - 1/2x is shown in attached image.
We have to given that,
Equation is,
⇒ y = - 1/2x
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, equation is,
y = - 1/2x
Hence, It is passes through origin.
Therefore, The graph of equation y = - 1/2x is shown in attached image.
Learn more about the equation of line visit:
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Six students are working to simplify the expression shown. Drag each student’s answer to a box to show whether it is fully simplified equivalent to the given expression but not fully simplified, or not equivalent to the given expression.
Answer: The arrows show the appropriate destination for your dragging.
_____
Combining like terms in the given expression makes it simplify to ...
(2x -18x) +(14y) +(9 -10) = -16x +14y -1
We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:
2x -18x +14y -19 = -16x +14y -19 . . . not the same
-2xy -1 . . . not the same
16x +14y -1 . . . not the same
9 -16x +14y -10 = -16x +14y -1 . . . equivalent
-16x +14y -1 . . . equivalent and simplified
2x -18x +14y -1 = -16x +14y -1 . . . equivalent
Step-by-step explanation: