Answer:
56 students
Step-by-step explanation:
The equation for your question is 85+2x=197. First you would have to subtract 85, on both sides, leaving you with 2x=112. Then, you'd have to divide by 2 on both sides to isolate the variable. From there, you're left with x=56.
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts
Answer:
a. i) Please see the included graph of the equation $10·x + $12·y = $300
ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered
Step-by-step explanation:
The given information are;
The cost of each short-sleeved shirt = $10
The cost of each long-sleeved shirt = $12
The amount available in the budget = $300
The equation for the total cost = $10·x + $12·y = $300
Where;
x = The number of short-sleeved shirts
y = The number of long-sleeved shirts
Rewriting the equation given in slope and intercept form, we have;
$10·x + $12·y = $300
$12·y = $300 - $10·x
y = $300/$12 - $10·x/$12
y = 25 - 5/6·x
Please find attached, the graph of the equation made with Microsoft Excel
The values of the data that can calculated to plot the graph are;
x, y
(0, 25 )
(5, 20.83 )
(10, 16.67)
(15, 12.5 )
(20, 8.33)
(25, 4.17)
(30, 0 )
The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.
The graph of the equation is shown below.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Given:
Short-sleeved shirts cost $10 each.
Long-sleeved shirts cost $12 each.
The total budget is $300.
The given equation is:
[tex]10x+12y=300[/tex]
where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.
To find:
The graph of the given equation and the interpretation for the intercepts.
Explanation:
We have,
[tex]10x+12y=300[/tex]
Substitute [tex]x=0[/tex].
[tex]10(0)+12y=300[/tex]
[tex]12y=300[/tex]
[tex]y=\dfrac{300}{12}[/tex]
[tex]y=25[/tex]
So, the y-intercept is at point (0,25).
Substitute [tex]y=0[/tex].
[tex]10x+12(0)=300[/tex]
[tex]10x=300[/tex]
[tex]x=\dfrac{300}{10}[/tex]
[tex]x=30[/tex]
So, the x-intercept is at point (30,0).
Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Learn more:
https://brainly.com/question/13859754
Rewrite in simplest terms: -3(-4g-6g-2)-8g
Answer:
22g+6
Step-by-step explanation:
-3(-4g-6g-2)-8g To simplify this, we have to distribute first.
12g+18g+6-8g Now, we can combine like terms. (I underlined the parts with the variable to make it easier to see which parts were considered like terms.)
22g+6 This is your simplified answer!!
Hope this helps...have a wonderful day c:
A system is described by the equations
2x + 3y = 10
4x + By = 20
For what value of B will the system have infinitely many solutions?
Kilometers and inches are some units used to measure length. What are some other units used to measure length?
I need the answer quick
Answer:
Meters, miles, feet, centimeters
Step-by-step explanation:
PLZPLZPZLZPZLZPZLZPZPPPZZLZP HELP ME WILL NAME BRINLY
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
b) Write an equaation using the segment addition postulate that will help you solve the problem
____+_____=____
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) _____=______
d)
x= __
HJ=__
JK=__
HK=__
Answer:
x= 17
HJ= 27
JK= 153
HK= 180
Step-by-step explanation:
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
Find attached to this answer the diagram of the sketch of the segments described above
b) Write an equation using the segment addition postulate that will help you solve the problem
HJ + JK = KH
x + 10 + 9x = 14x - 58
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58
10 + 58 = 14x - x -9x
68 = 14x - 10x
68 = 4x
x = 68/4
x = 17
d)
x= 17
HJ= x + 10
= 17 + 10
= 27
JK= 9x
= 9 × 17
= 153
HK=14x −58
HK = 14 × 17 - 58
= 238 - 58
= 180
will give you brainlyist pls help
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The quickest way to do this is to look how much it goes down and then how much it goes left. This is called rise over run. So the line goes 2 down then left 3 to get from one perfect point to another.
So the answer is Choice D. It went down 2 so it's negative.
An irregularly shaped stone was lowered into a graduated cylinder holding a volume of water equal to 2 ml. The height of the water rose to 7 ml. If the mass of the stone was 25 g, what was its density?
Answer:
Step-by-step explanationNote:
1
ml
=
1
cc
If the water rose
7
ml
−
2
ml
=
5
ml
then the stone had a volume of
5
ml
or
5
cc
With a mass of
25
g
it must have a density of
XXX
25
g
5
cc
=
5
g/cc
Can someone help me please?
Answer:
Instead of shane just taking all the exponents and counting them one by one, she could have added all the exponents because that's what you're supposed to do when multiplying exponents.
For each pair of mathematical expressions, determine if the expressions have equal values. Select each pair of expressions that came out to be equal.
Please note, not all pairs will come out to the same value. We want you to determine if the expressions in each answer option have the have the same value.
Question options:
36÷3+3 and 22+2
36
÷
3
+
3
a
n
d
2
2
+
2
−(23)2and 49
-
(
2
3
)
a
n
d
4
9
8(−9) and −12−60
8
(
-
9
)
a
n
d
-
12
-
60
1+24 and 1−14
First person to answer gets brainly!!
Alisa bought 3 shirts for $29 each and then spent $15 on lunch. She has $31 left. How much money did she have before?
Answer:
$133
Step-by-step explanation:
write an Equation that represents the lines
Answer: The answer is Y=3/4x -4.5
Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5
Find the value of x in the equation below
13=x-18
Please help
Answer: x = 31
Step-by-step explanation: 13+18=31, so 31-18=13.
Answer:
x = 31
Step-by-step explanation:
-Get x alone
13 = x - 18
-add 18 to each side
x=31
Jordan can ride her skateboard 75 meters in 30 seconds. How long will it take Jordan to ride her skateboard 1,500 meters? Solve on scrap paper and enter your answer on Zearn. meters seconds 75 30 It will take Jordan seconds to ride her skateboard 1,500 meters.
Answer:
20 minutes
Step-by-step explanation:
help me plzzzzzzzzz
If f(x) = x2 – 3, find f (5)
Answer:
5*2 - 3
10-3
7
Step-by-step explanation:
mark me as the brainliest
A figure is located entirely in the third quadrant. If it is reflected over the y-axis, what will the signs of the coordinates be?
Answer:
Step-by-step explanation:
Hello friend!!!
The signs of the coordinates will be ( - , - )
This is because it is located in the third quadrant and the coordinates of any point on the third quadrant are ( - , - )
Hope this helps
plz mark as brainliest!!!!!!!
The signs of the coordinates should be ( - , - )
Signing of the coordinates:Since we know that there are 4 quadrants. In 1st quadrant, the sign is (+,+). In the 2nd quadrant, the sign is (-,+). The 3rd quadrant, the sign is (-,-), And, the fourth quadrant, the sign is (+,-),
So based on this, the above sign should be considered.
learn more about coordinates here: https://brainly.com/question/13596846
8(k - 6) +58 = 2(4k + 5)
one solution
no solutions
infinite solutions
Answer:
infinite solutions
Step-by-step explanation:
Given
8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides
8k - 48 + 58 = 8k + 10 , that is
8k + 10 = 8k + 10
Since both sides are equal then any value of x will make the equation true.
There are an infinite number of solutions
Find the missing endpoint if one endpoint is at (5.-7) and the midpoint is at (15.1).
Answer:
(25, 9)Step-by-step explanation:
Given Point (5, -7) and midpoint (15, 1)To findMissing endpointSolutionMidpoint formula:
x = (x1 + x2)/2, y = (y1 + y2)/2Substituting values:
15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 251 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9Missing endpoint is:
(25, 9)Write the equation of the line fully simplified slope intercept form.
Answer:
Y=5/2x -4
Step-by-step explanation:
POSSIBLE POINTS: 0.86 Marcus is trying to decide between a cable subscription and a satellite dish. The cable subscription has a $40 setup fee and costs an additional $38 per month. Marcus has $500 budgeted for cable. How many months (m) can he pay for the cable subscription? WRITE AN EQUATION THAT CAN BE USED TO FIND THE NUMBER OF MONTHS HE CAN PAY FOR THE CABLE SUBSCRIPTION
Answer:
0.156
Step-by-step explanation:
step1. add 40 + 38 = 78
step2. divide 78 by 500 to get 0.156
hope im right
if m<2=44, what is m<1?
Answer:
Step-by-step explanations:
Jessica completed 20 haircuts in 8 hours. On average how many haircuts per hour did Jessica do?
Answer:
two and a half
Step-by-step explanation:
Will do a brainly! 4/7=18/31.5
Answer:
True
Step-by-step explanation:
4 ÷ 7 = 0.571418 ÷ 31.5 = 0.5714Because they are the same result, the two fractions are equal. Therefore, the equation is true.I hope this helps!
HELP ITS MATH AND I SUCK AT MATH WILL GIVE BRAINLIEST :)))))
Answer:
i believe it's A. f(x) slope is greater than g(x) slope
Step-by-step explanation:
the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one
Answer:
A
Step-by-step explanation:
can someone answer this and maybe explain it?
Answer:
yea what he said..........
y + 7 = 4(x + 2)
Write in standard form.
what is the answer to 9/11 - 4/11
Answer:
the answer is approximately 0.4545
Step-by-step explanation:
I just searched it on google. i got you my guy
Answer: 5/11
The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).
So: 9/11 - 4/11 = 5/11
His supplies cost him $3.25 for a pitcher of lemonade. To make a profit, Ryan will apply a 68% markup. Which is the amount of markup Ryan will add?
helpp
Answer: 212.50%
Step-by-step explanation:
Part C: Create a graph that represents the solutions to the equation from Part A
Answer: Dear friend google
Step-by-step explanation: search it up