If 8x−4y=20 and 4x−8y=4, what is the value of x−y
Answer:
x-y=3-1=2
Step-by-step explanation:
[tex]8x-4y=20[/tex] [tex]4x-8y=4[/tex]
[tex]8x=20+4y[/tex] [tex]4(\frac{20+4y}{8})-8y=4[/tex]
[tex]x=\frac{20+4y}{8}[/tex] [tex]\frac{80+16y}{8} -8y=4[/tex]
[tex]x=\frac{20+4}{8}[/tex] [tex]10+2y-8y=4[/tex]
[tex]x=\frac{24}{8}[/tex] [tex]10-6y=4[/tex]
[tex]x=3[/tex] [tex]-6y=4-10[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex]
so x-y=3-1=2
Let x and y be real numbers such that x^2 + y^2 = 4(x + y). Find the largest possible value of x.
Answer:
The largest possible value of x is 2 + √8
Step-by-step explanation:
Given;
x² + y² = 4(x + y)
This is an equation of circle
x² + y² = 4x + 4y
x²- 4x + y² - 4y = 0
complete the square by taking half of coefficient of x and y, then add the squares to both sides;
x²- 4x + (-2)² + y² - 4y + (-2)² = (-2)² + (-2)²
factorize
(x - 2)² + (y - 2)² = √8
This circle has its center at (2, 2) with a radius of √8
The largest x-value occurs at the right end of the circle = x value of the center plus the radius = 2 + √8
Which number is a constant in the algebraic expression? Negative x squared minus 6 y + 13 x + 7 Negative 6 Negative 1 7 13
Answer:
7
Step-by-step explanation:
-x^2 -6y+13x+7
The constant is the term with no variable attached to it
7 is the constant
Answer:
7 is the constant
Step-by-step explanation:
because -x^2 -6y+13x+7
a: b = 7:2
How many times larger is a than b ?
Answer:
Step-by-step explanation:
A/b = 7 / 2
Then
A / b = 3½
A = 3½ × b
Then, a is 3.5 times greater than b.
On an average day, a horse might drink 50 L a sheep might drink 4 l and a chicken might drink 200 mL how much water would a farm need with 4 horses 8 sheep and 16 chickens need for a day
Answer:
The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.
Step-by-step explanation:
The daily consumption of water in the farm must be:
[tex]x = (4\,horses)\times \left(50\,\frac{L}{horse} \right) + (8\,sheep)\times \left(4\,\frac{L}{sheep} \right) + (16\,chickens)\times \left(0.2\,\frac{L}{chicken} \right)[/tex]
[tex]x = 235.2\,L[/tex]
The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.
What is the surface area of a cylinder with base radius 4 and height 5?
Either enter an exact answer in terms of PI or use 3.14 for PI and enter your answer as a decimal.
Step-by-step explanation:
S = (2 * pi * r^2) + (2 * pi * r * h)
S = (2 * pi * 4^2) + (2 * pi * 4 * 5)
S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.
Can someone please help me find the area and perimeter of this shape? Thank you!
Answer:
136
Step-by-step explanation:
The area of the triangle is 24 the area of the rectangle is 112
Answer:
136
Step-by-step explanation:
first start with the triangle
to find the base, subtract 8 from 16
to find height subtract 7 from 13
.5(8)(6)
triangle = 24
the area of the rectangle is 16 * 7 = 112
add them both together to get
136
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
The factory needs to sell 327 packbacks to make at least 9,800 per week.Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality
[tex]40x -10x \leq 9,800[/tex]
Where [tex]x[/tex] represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so
[tex]30x\leq 9,800[/tex]
Solving for [tex]x[/tex]
[tex]x\leq \frac{9800}{30}\\ x \leq 326.67[/tex]
Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
What is -3 1/3 + (-1 2/3)?
Answer:
-5
Step-by-step explanation:
-3 + -1 = -4
-1/3 + -2/3 = -1
-1 + -4 = -5
The task:
Find the radius or diameter of each circle with the given dimensions
2. d=4 ft
Answer:
If the diameter us 4, the radius would be 2.
A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?
Answer:
17 feet
Step-by-step explanation:
I used the Pythagorean theorem to answer this question.
a^2 + b^2 = c^2
15^2 + 8^2 = c^2
225 + 64 = c^2
289=c^2
c^2=289
c=√289
c=17 feet
The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
A 15 feet tree casts a shadow that is 8 feet long.
Now,
Since, A 15 feet tree casts a shadow that is 8 feet long.
Hence, The length of the tip of the tree to the tip of it's shadow = x feet
So, We get by using the Pythagoras theorem;
⇒ x² = 15² + 8²
⇒ x² = 225 + 64
⇒ x² = 289
⇒ x = √289
⇒ x = 17
Thus, The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
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2/3 (m + 4) = 1/5 (3m+9)
[tex]\frac{2}{3} (m+4) = \frac{1}{5} (3m+9)[/tex]
[tex]\frac{2m+8}{3} = \frac{3m+9}{5}[/tex]
10m + 40 = 9m + 27
10m - 9m = 27 - 40
m = -13
Answer:
m = - 13
Step-by-step explanation:
2/3 (m + 4) = 1/5 (3m+9)
2/3m + 8/3 = 3/5m + 9/5
2/3m - 3/5m = 9/5 - 8/3
10/15m - 9/15m = 27/15 - 40/15
1/15m = - 13/15
m = - 13/15 / 1/15
m = - 13/15 * 15
m = - 195/15
m = - 13
The width of a rectangle is 7 units less than the length. The area of the rectangle is 18 units. What is the length, in units, of the rectangle?
Answer:
9
Step-by-step explanation:
Which statements are true? Check all that apply. Based on both tables, there is no association between gender and enjoying dancing. Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The two tables will be identical since boys and girls have the same total number. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.
Answer:
it's b c and e
Step-by-step explanation:
just took the test
Statements second statements third, and statement fifth is correct as per the conditional relative frequency table.
What is a relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.
As per the relative frequency table, the correct statements are:
Eve's table shows that those who enjoy dancing are likely girls. Bob's table shows that boys are likely to not enjoy dancing. The percentage of someone being a girl, given that the person enjoys dancing is lower than the percentage that someone enjoys dancing, given that the person is a girl.Thus, statements second statements third, and statement fifth is correct as per the conditional relative frequency table.
Learn more about the conditional relative frequency here:
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Does anyone know geometry?
Answer:
286m²
Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Answer:
286m²Step-by-step explanation:
IDK
If LO ≅LM and OP ≅ PM , then a correct conclusion would be:
ΔLMP ≅ ΔLOP by AAA.
ΔLMP ≅ ΔLOP by SSA.
ΔLMP ≅ ΔLOP by SSS.
None of these choices are correct.
Answer:
Step-by-step explanation:
None of these Choices are correct..
Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right !
Answer:
The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.
Step-by-step explanation:
A.) y = 2(-4) + 5 = -8 + 5 = -3
B.) y = 2(-4) + 2 = -8 + 2 = -6
-3 is greater than - 6.
Justin works as a car salesman. Last week, he had a total of $42,000 in sales. If his commission is 2%, how much did Justin earn last week?
Answer: $840
Step-by-step explanation:
42,000 total sale multiplied by .02 sales commission
42,000x.02 = 840
Simplify:
(4 + 2i) 2
so the answer is 16+4i ^2
Look at the attached picture
Hope it will help you
Good luck on your assignment
-2(3x)+1=7-6x
X Is equal to what
Answer:
there is no solution
Step-by-step explanation:
When we solve it, the first step is [tex]-6x+1=7-6x[/tex].
-6x+6x is 0, so there is no solution
Answer:
There are no solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(3x)+1=7−6x
Step 1: Simplify both sides of the equation.
−2(3x)+1=7−6x
−6x+1=7+−6x
−6x+1=−6x+7
Step 2: Add 6x to both sides.
−6x+1+6x=−6x+7+6x
1=7
Step 3: Subtract 1 from both sides.
1−1=7−1
0=6
Hope this helps.
Luigi uses 39 cups of flour for every 6 pizzas he makes.
Answer:
if you are dividing it would be
6.5 i think im not really sure though.
y = -2x - 5
6x + 3y = -15
A.one line
B.parallel lines
C.intersecting lines
Answer:
A. One line
Step-by-step explanation:
Let rearrange the system of equations into explicit forms:
[tex]y = -2\cdot x - 5[/tex]
[tex]6\cdot x + 3\cdot y = -15[/tex]
[tex]3\cdot y = -6\cdot x - 15[/tex]
[tex]y = -2\cdot x - 5[/tex]
The second equation is identical to the first one, which means that there is just one line.
Can you please help please please help me with this question and i will give you a Brainiest
Answer:
5 points
Step-by-step explanation:
score of Zara = 15 points
Score of John = 10 points
Zara scored more than John = 15 - 10 = 5 points
Answer:
Hello! Your answer is 5
Step-by-step explanation:
Zara scored 15 points, and John scored 10 points
15-10=5
Hope this helps :)
Please mark brainliest
Please help me ASAP. Need to hand in by today
Step-by-step explanation:
Pls ignoré the scribbled part.
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 16,307 gallons of water, and is leaking at a rate of 4 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 192 days?
Answer:
15,539 gallons will remain after 192 days
Step-by-step explanation:
16,307 - 4x = y
Plug in 192 for x since that's how many days will have passed.
16,307 - 4(192) = y
4 x 192 = 768
Then, subtract 768 from 16,307 to see how many gallons will remain.
16,307 - 768 = 15,539
Answer:
15,539 gallons
Step-by-step explanation:
16,307 - 4x = y;
16,307 - 4(192) = y;
4 x 192 = 768;
16,307 - 768 = 15,539
Write this number in standard form.
5.46×105=
Answer:
573.3
Step-by-step explanation:
just multiply it out
Answer:
5.733×10^2
Step-by-step explanation:
The question says you are to leave the answer in standard form not just only multiply which means you're to first multiply then you're supposed to bring a decimal point right after the first number and give the corresponding index which is 10^2 because you moved it twice to the left making it a positive index.
5.46×105
573.3
5.733×10^2
Please help! will give brainliest
Answer:
First, she notes down her current position as point A.
Then she checks out on the other bank, a big stone (point B) or something (which is not too far from her), she then goes along the bank to the point C so that BC is perpendicular with the bank.
If she can mark down the distance she walked AC and the angle BAC, then she can calculate the width of river (AB) by formula:
BC = AC x tan(BAC)
Hope this helps!
:)
If a cone has a 5inch radius and a 12inch height what is the volume of the cone
Answer:
V = 75π
Step-by-step explanation:
The volume of a cone is πr^2 * h / 3
r = 5
h = 12
25π * 3 = 75π
Answer:
Step-by-step explanation:
r = 5 inches
h = 12 inches
Volume of cone = (1/3)πr²h
[tex]\frac{1}{3}*\pi *5*5*12\\=\pi *5*5*4[/tex]
= 100π cubic inches
A painter charges $12 per hour plus $50 for every job. If he made $194 on a job, how many hours did he work?
Answer:
12
Step-by-step explanation:
194-50=144
144/12=12
Answer:
12 hours
Step-by-step explanation:
We can start with an equation: 12x+50 = 194 (x being number of hours)
solving gives 12x = 144
x = 144/12
x = 12
plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp
Answer:
D
Step-by-step explanation: hope this helps