Answer: slope = 1, y intercept = 3
Step-by-step explanation:
The line crosses the y axis at 3 and when you calculate rise over run, you get 1, so the slope is 1.
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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A factory uses 30 yards of leather to make belts. Each belt is 2/3 yard long. How many belts can the factory make?
Answer:
your answer is 45
Step-by-step explanation: it is 45 because 30 divided by 2/3 is 45
5) Carmen bought a movie for $18.60. The next day the movie was selling
for $20.30. What was the percent of change?
If f(x) = x2 – 3, find f (5)
Answer:
5*2 - 3
10-3
7
Step-by-step explanation:
mark me as the brainliest
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
Answer:
Often
Step-by-step explanation:
Hope this helps :D
the school will repave the play yard at a cost of $23.00 per yard squard yard. the yard measures 108 ft by 135 ft. what is the total square footage of the play yard how much will the paving cost
Answer:
$5589
Step-by-step explanation:
I added 108+135
then got 243 then i multiplyed 23.00 times 243
got 5589
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
HELP ASAPPPP
(8x - 14)*
(2x + 4)*
Answer:
X is 17
Step-by-step explanation:
please help! i will give brainliest!
Answer:
B represents 9. The opposite would be -9
Step-by-step explanation:
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
Can somone please help me asap I’ll mark brainlist!!!!!
Answer:
405.45
Step-by-step explanation:
405.45
yw
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
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
7x + 3 = 4x - 5x + 12
Answer:
x=1.125
Step-by-step explanation:
Answer:
1.125
Step-by-step explanation:
7x + 3 = 4x - 5x + 12
7x + 3 = -x + 12
+x +x
8x + 3 = 12
-3 -3
8x = 9
x = 1.125
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!
The graph shows the relationship between inches, x,
and miles, y, on a map. Which equation represents the
proportional relationship?
O y = x + 5
O
х
O y = 5x
O y = 10x
Answer:
B
Step-by-step explanation:
Since one inch on a map must represent a few miles in reality, B is the only logical answer to this question
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:
Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown. 27÷3=9
Answer:
I am pretty sure its A.
Step-by-step explanation: I can't explain right now, I got to go, but I'm pretty sure.
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:
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:
After a bad break up, you decide to burn all the things a former boyfriend/girlfriend has given to you and any keepsakes. You have 50 items to put into the "pit" to burn. There are 85% of the items remaining at the end of 5 minutes. When will all your memories be gone?
Answer:
5.9 minutes
Step-by-step explanation:
85% of 50 items is gone in 5 minutes
42.5 items = 5 minutes
50 items = x minutes
42.5 items × x minutes = 50 items × 5 minutes
x = 50 items × 5 minutes/42.5 items
x = 5.8823529412 minutes
x ≈Approximately to 1 decimal place 5.9 minutes
All your memories be gone in 5.9 minutes
Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices From smallest to largest: ∠B, ∠C, ∠A x = 49 m∠C = 56 m∠A = 99 (4x + 16) = 180
Answer:
m∠C = 56 and (4x + 16) = 180
Step-by-step explanation:
The sum of angle in a triangle is 180, hence:
<A+<B+<C = 180
Given
<A = 2x+1
<B = x
<C = x+15
Substitute
2x+1+x+x+15 = 180
collect like terms:
2x+x+x+1+15 = 180
4x+16 = 180
4x = 180-16
4x = 164
Divide both sides by 4
4x/4 = 164/4
x = 41°
Since <A = 2x+1
<A = 2(41)+1
<A = 82+1
<A = 83
<B = x = 41
<C = x+15
<C = 41+15
<C = 56
Based on the calculation above, the true statements are:
m∠C = 56 and (4x + 16) = 180
value of 2m^2+m-5 when m=5
Answer:
50
Step-by-step explanation:
Substitute m with 5
2m^2+m-5
2(5)^2+(5)-5
then follow your order of operations
2(25)+(5)-5
50+5-5
55-5=50
Seed (oz)
2
3
4
Area Covered as
es
5025
2
Answer: Not enough information provided, please provide any additional instructions, answers, and text which may have been included in the question.
Step-by-step explanation:
First person to answer gets brainly!!
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:
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:
Mathematical Connections Jake's solution to
the equation - 4(2x - 3) = 36 is shown.
-4(2x - 3) = 36
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
-8x = 24
8x24
-8
X=-3
How is the solution to -4(2x - 3) > 36 similar to
and different from the solution shown?
The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.
Given that,
An equation is,
- 4(2x - 3) = 36
Here, Jake's solution to the equation - 4(2x - 3) = 36 is,
-4(2x - 3) = 36
Apply distributive property,
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
Subtract 12 on both sides,
-8x = 24
x = - 24/8
x = - 3
So, the solution x = -3 represents a single value of x that is equal to -3.
Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.
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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
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