Answer:
65%
Step-by-step explanation:
325-195=130
130/200= 65
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.
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First person to answer gets brainly!!
A basketball player is 90 inches tall. A model is created of the player using a scale factor of 1:20. How tall is the model in inches?
Answer:
4.5
Step-by-step explanation:
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:
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
15 points please answer this ;(
Answer:
see explanation
Step-by-step explanation:
(1)
Given
A = bh ( isolate h by dividing both sides by b )
[tex]\frac{A}{b}[/tex] = h
(2)
Using the result from (1)
h = [tex]\frac{A}{b}[/tex] = [tex]\frac{45}{9}[/tex] = 5 ft
Which of the following statements does not represent the same value as the others?
the distance between 0 and −9
the absolute value of negative 9
the opposite of 9
the absolute value of 9
the distance between 0 and −9
the absolute value of negative 9
the opposite of 9
the absolute value of 9
I WILL GIVE BRAINLIEST AND 36 Points
Refer to screenshots
8. Which line on the graph represents the equation y=3x-2?
line A
line B
line C
line D
9.Which equation represents the graph?
y = |x| – 4
y = |x – 4|
y = |x + 4|
y = |x| + 4
12.Which equation represents the graph?
y = |x| + 6
y = |x – 6|
y = |x| – 6
y = |x + 6|
17.Which set of ordered pairs corresponds to the graph?
{(5, 1), (4, 2), (0, –1), (–2, 3), (–5, 1)}
{(–2, 3), (5, 1), (–5, 1), (1, 0), (4, –2)}
{(–5, –1), (–2, 3), (0, –1), (4, –2), (5, 1)}
{(–2, 4), (–1, –5), (–1, 0), (1, 5), (3, –2)}
19.Which equation is represented by the table?
Y=-|X-1|-4
Y=|X-1|-4
Y=-|X+1|-4
Y=|X+1|-4
Answer:
1.a
2.c
3b
4.c
5.a or b
Step-by-step explanation:
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:
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.
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
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
If f(x) = x2 – 3, find f (5)
Answer:
5*2 - 3
10-3
7
Step-by-step explanation:
mark me as the brainliest
For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there
Answer:
We can assume X is the number of girl, so the number of boy should be X+6.
Based on question, we can get X+X+6=32
2X+6=32
2X=26
X=13
So the answer is, 13 girls are in the class.
Step-by-step explanation:
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary. A.) $11.14. B.) 12.54 C.) 13.19 D.) 13.73
Answer:
B 12.54
Step-by-step explanation:
10.99 times 0.15 equals 1.55
10.99 + 1.55 = 12.54
Answer:
$10.99 + 15% = $12.63
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
An angle measures 40 more than the measure of its supplementary angle. What is the measure of each angle
Sum of two angles that are supplementary = 180°
Let the first angle be x .
Then the other angle = x + 40
Measure of each angle =
[tex]x + x + 40 = 180[/tex]
[tex]2x + 40 = 180[/tex]
[tex]2x = 180 - 40[/tex]
[tex]2x = 140°[/tex]
[tex]x = \frac{140}{2} [/tex]
[tex]x = 70°[/tex]
Which means :-
The first angle:-
[tex]= x = 70°[/tex]
The second angle :-
[tex]x + 40[/tex]
[tex]70 + 40[/tex]
[tex] = 110°[/tex]
Therefore , the two supplementary angles are 70° and 110° .
Answer:
65 and 25
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
Please answer. Which is the graph of the solutions.
Answer:
x < -8, third from top option in the picture.
Step-by-step explanation:
5(2x - 4) < -100
10x - 20 < -100
10x < -80
x < -8
Answer:
3rd option from the top (open circle arrow going left)
Step-by-step explanation:
5(2x-4) is less than - 100
5 times 2x is 10x and 5 times - 4 is - 20 so,
10x - 20 is less than - 100
now do inverse operations to isolate x, add 20
- 20 plus 20 is 0 and -100 plus 20 is - 80
10x is less than -80
divide both sides by 10 and you get,
x is less than - 8
A shop sells bagels for $5 per dozen. You can use the table to answer
the questions. Explain your reasoning. (Show all your work)
1. At this rate, how much would 6 bagels cost?
2. How many bagels can you buy for $50?
Answer with step-by-step explanation:
Lets says the number of bagels is B and the price in dollars is D.
Equation: D × 12/5 = B
1. 6 is half of a dozen, which means the price would be half of 5, 2.5
2. $50 is 10× the amount of $5, so the amount of bagels would be 10 × 12, which is 120 bagels.
Hope this helped! (brainliest please)
A Dozen mathematically means 12.
It is important to note that:
$5 = 12 bagels
1) 12 bagels = $56 bagels = ?
Cross Multiply
6 bagels x $5 / 12
= $7.50
Therefore, 6 bagels would cost $7.50
2) $5 = 12 bagels$50 = ?
Cross multiply
$50 x 12 bagels / $5
= 120 bagels
Therfore, you can buy 120 bagels for $50
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another way to write 2 5/2×4
Answer:
4 1/2(4)
Step-by-step explanation:
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Ok serous question this has nothing to do with my other questions would you guys care if I committed ya know
Answer:
I don't know you but I care. I am always here to talk. For real I don't have a life. Lol
Step-by-step explanation:
-0.6 repeating terminating or neither
Answer:
Repeating.
Step-by-step explanation:
can Yhu help me plzzz!!!!
Answer:
f^-1 (x) =7 − 21x
Step-by-step explanation:
Hope this helps!
Plz give brainliest
Which value is a perfect square root?
O 12
O 24
O 49
O 63
Answer:
It's 49
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
What is the equation of the vertical line through -8, 5
Answer:
The answer of the following questions is y=3x-19
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:
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:
can anyone help with this please? 20 points for it
Answer:
9
Step-by-step explanation:
3^2 = 9