2x - 2y = 14
-2y = 14-2x
y= -7 + x
y = x - 7
A store owner wants to develop a new snack mix by mixing banana chips and raisins. How many pounds of banana chips costing $7.70 per pound should be mixed with 18 pounds of raisins costing $4.30 per pound to create a mixture worth $5.73 per pound?
Jackson wants to divide a 2/5 pound box of trail mix into small bags. Each of the bags
will hold 1/10 pound of trail mix. How many bags of trail mix can Jackson fill?
Answer:
4 bags.
Step-by-step explanation:
1/10 is already good, but you need to multiply 2/5 by 2 to get 4/10, and then it's self-explanatory from there
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground
Answer:
a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) The height of the arch from the ground is 810 feet.
Step-by-step explanation:
Statement is incomplete. Complete statement is:
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.
Write an equation that represents the arch.
What is the height from the top of the arch to the ground?
a) Write an equation that represents the arch.
According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:
[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)
Where:
[tex]p[/tex] - Distance between vertex and focus, measured in feet.
[tex]x[/tex] - Independent variable, measured in feet.
[tex]y[/tex] - Dependent variable, measured in feet.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.
If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:
[tex]y = -10\cdot x^{2}[/tex]
The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) What is the height from the top of the arch to the ground?
Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):
[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]
[tex]y_{min} = -810\,ft[/tex]
Then, the height of the arch from the ground is given by this difference:
[tex]h = 0\,ft-(-810\,ft)[/tex]
[tex]h = 810\,ft[/tex]
The height of the arch from the ground is 810 feet.
Find the area, in square units, of triangle ABC plotted below.
Answer:
Area of ΔABC = 10 square units
Step-by-step explanation:
Distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Length of AB = [tex]\sqrt{(-4-2)^2+(-6+8)^2}[/tex]
= [tex]\sqrt{36+4}[/tex]
= [tex]2\sqrt{10}[/tex]
Length of CD = [tex]\sqrt{(-6+7)^2+(-2+5)^2}[/tex]
= [tex]\sqrt{1+9}[/tex]
= [tex]\sqrt{10}[/tex]
Area of a triangle ABC will be represented by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(CD)[/tex]
= [tex]\frac{1}{2}(2\sqrt{10})(\sqrt{10})[/tex]
= 10 square units
Answer:
10 square units
Step-by-step explanation:
The equation [BLANK] has no solution.
ANSWERS:
13y+2-2y=10y+3-y
9(3y+7)-2=3(-9y+9)
32.1y+3.1+2.4y-8.2=34.5y-5.1
5(2.2y+3.4)=5(y-2)+6y
Answer:
5(2.2y+3.4)=5(y-2)+6y has no solution
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The third one down.
32.1y+3.1+2.4y-8.2=34.5y-5.1
Combine like terms
34.5y + 3.1 - 8.2 = 34.5y - 5.1
34.5y - 5.1 = 34.5y - 5.1 y can be anything
===========================
Remove the brackets from D
11y + 17 = 5y - 10 + 6y
11y + 17 = 11y - 10
This gives 17 = - 10 which of course is nonsense.
D has no solution.
the linear tower of pisa is 804 feet shorter than the eiffel tower. the two towers have a total height of 1164 feet. How tall is each tower?
Answer:
eiffel tower - 984ft
leaning tower of pisa - 180
Step-by-step explanation:
2x+804=1164
-804 -804
2x = 360
divide both sides by 2
x = 180
eiffel - 180 + 804
pisa - 180
What is the total cost of a piano that costs $1200 with a markup of 75%
Answer:
900
Step-by-step explanation:
Which method can be used to prove that AJKL is congruent to AJML?
SSS
OHL
SAS
ASA
Answer:
it is SAS
Step-by-step explanation:
side angle side
triangle JKL is congruent to triangle JML
because they have two equal sides:
JL whitch is common in both of them and ML equal to KL
and the included angles are equal.
Convert 890 / 110 into a mixed number
Answer:
8 and 1/11.
Step-by-step explanation:
Answer:
8 1/11
Step-by-step explanation:
Hope this helps!!
Just in case :
(8 and 1/11)
I need help:)
Please help me
Answer:
No to both.
Step-by-step explanation:
5 Which expression is represented on the number line?
ASAP
Felice swims 3 times every 7 days.
How many times will she
swim in 28 days?
Answer:
12 times.
Step-by-step explanation:
If she swims three times a week, then you need to find how many weeks make up 28 days. 28/7= 4 weeks. Since she swims three times a week, you multiple that by the amount of weeks, which is four. You get that she swims 12 times in 28 days.
The function yields the average cost in dollars for a company to produce x copies of a comic book. Which statement best fits the situation modeled by the function? The company earns 20% of the issue price as profit from each copy sold. The company earns 20 cents as profit from each copy sold. The company spends 20% of the issue price on materials to produce each copy. The company spends 20 cents on materials to produce each copy.
Answer: 20cents
Step-by-step explanation;
Company spends 20 cents on materials to produce each copy
f(x) represents the average cost in dollars for a company
x represents the number of copies of comic produced by company.
Total cost in dollars for a company = 80,000 + 0.2x
Since, x is the number of copies of comic produced ,
0.2x indicates that it spends $0.2 on material to produce each copy.
Use conversion:
1 dollars = 100 cents
0.2 dollars = 20 cents.
Answer:
The correct option is D the company spends 20 cents on materials to make each copy
Step-by-step explanation:
I need your help for this!
Answer:
1+1=78993939939
Step-by-step explanation:
1x1= 0 (-_<)
what is the slope of the line that passes through (-3,-1) and (-5,5)
Answer:
[tex]m=-3[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{5-(-1)}{-5-(-3)}[/tex]
[tex]m=\frac{5+1}{-5+3}[/tex]
[tex]m=\frac{6}{-2}[/tex]
[tex]m=-3[/tex]
HELP ME THX I don't want to fail...
Answer:
EF = 11
JK = 32
Step-by-step explanation:
Because the average of 10 and 12 is 11, therefore that would be the answer, since EF has a slite angle, finding the average of the largest side length and the opposite side would be the best way to find it.
Because the average of 28 and 36 is 32 your answer would be 32, this is from adding both lengths on LJ, which is 12 and 24, I added them to get 36, then found the average, the average was 36, meaning that this was your answer.
One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.85 . Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 2.95 . For the males, the mean ERA was 4.893 and the standard deviation was 0.949 . For the females, the mean ERA was 4.348 and the standard deviation was 0.997 . Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Answer:
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ?
Terry had a better year because he had a lower Era and he was a better pitcher.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
any male pitcher at his school,
For Thomas:
z = (x-μ)/σ
x = 2.85 μ = 4.893 σ = 0.949.
z = 2.85 - 4.893/0.949
z = -2.15279
For Karla
z = (x-μ)/σ
x = 2.95 μ = 4.348 σ = 0.997.
z = (2.95 - 4.348) /0
z = -1.40221
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Terry had a better year because he had a lower Era and he was a better pitcher.
Answer for moneyy. will also give brainliest
Answer:
1 and 3- vertical angles
5 and 8- linear pair
2 and 6- corresponding angles
Step-by-step explanation:
The price of Stock A at 9 A.M. was $15.81. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $16.56. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
250.890
Step-by-step explanation:
Find the slope of the line through points (3, -8) and (0.4). *
Answer:
slope is -4
Step-by-step explanation:
To find the slope with points, you do (y2-y1)/(x2-x1)
4-(-8)=12
0-3=-3
12/-3=-4
Kiaya has to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now. Each week, she makes a $25 withdrawal. For how many weeks can she make this withdrawal and avoid a fee?
Answer:
11 weeks
Step-by-step explanation:
Kiaya has $376 but can only withdraw $276 before being charged by the bank.
First I subtracted the $100 she can't spend from $376.
-She has a total of $276 she can spend without being charged.
Next, I divided $276 by $25 (the amount she withdraws every week)
- The total is 11.04
This means she has 11 Weeks before she will have to pay the fee.
Hope I helped you out!! :)
Solve the given system using matrices.
x + 3y + 2z = 4
-4x - 2y + 5z = 3
2x + 2y + z = 7
x=
y=
z=
Enter answers with no spaces.
I RLLYYYY NEED HELP YALL
Answer:
X = 64/19
y equals -2/19
z =9/19
Step-by-step explanation:
its very hard to type in the explanation but I know the answer is right trust me I do a level maths
Solve the proportion for n. 36/8 = n/4
Answer:
N = 18
Step-by-step explanation:
Answer:
18/4
Step-by-step explanation:
plz answer if u can :P
Answer:
d
Step-by-step explanation:
sqaure root of both times each other gives 5
What is the vertex of the quadratic equation? y=(x+6)^-4
(6,-4)
(6,4)
(-6,-4)
(-6,4)
question in the image
Answer 6.
Step-by-step explanation:
Answer:
A.) 1
Step-by-step explanation:
A trapezoid only has one pair of parallel sides.
The average sneeze can travel 3100 mile in 3 seconds. At this rate, how far can it travel in one minute? (3 seconds = 120 minute)
Answer:
20666.6?
Step-by-step explanation:
3100/3= 1033.33
1033.33*20
20666.6
Please Help! Solve this problem according to the directions.
kakarot to me
aAA pfpfv
Answer:
yes
Step-by-step explanation:
Please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
Here you go :)
Hey, don't sweat it, this is relatively simple.
0 = $0
1 = $400
2 = $800
3 = $1400
________
Answered by James
Step-by-step explanation:
Just keep adding my friend