Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
Required
Get matching coefficient for elimination
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
[tex]2 * (2x + 5y = 12)[/tex]
[tex]4x + 10y = 24[/tex]
So, the system becomes:
[tex]4x + 3y = 8[/tex]
[tex]4x + 10y = 24[/tex]
Now, x can be eliminated
35% of students enrolled in collage are freshmen. if the total enrollment of the collage is 2800, how many of the students are freshmen?
Answer:
980 students are freshmen.
Step-by-step explanation:
2800*.35=980
Expand and combine like terms: (2x^3+4x^5)^2=
Answer:
16x^10+16x^8+4x^6
The expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10[/tex].
when we combine all the like terms.
To expand and combine like terms for the expression [tex](2x^3 + 4x^5)^2,[/tex] we need to square each term inside the parentheses and then combine like terms.
Using the FOIL method (First, Outer, Inner, Last) to multiply the terms, we have:
[tex](2x^3 + 4x^5)^2 = (2x^3)^2 + 2(2x^3)(4x^5) + (4x^5)^2[/tex]
Simplifying each term:
[tex](2x^3)^2 = 4x^6\\2(2x^3)(4x^5) = 16x^8\\(4x^5)^2 = 16x^10[/tex]
Combining like terms, we have:
[tex](2x^3 + 4x^5)^2 = 4x^6 + 16x^8 + 16x^10[/tex]
Therefore, the expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10.[/tex]
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Full Question
Expand and combine like terms: (2x^3+4x^5)^2 by simplication.
(No graph needed)
-7/9x9/8 what is the answer
A right rectangular prism has a volume of 3536 cubic feet, and the length 8 of the base of the prism is 9 feet longer than its width. The height of prism is 26 feet. What are the dimensions of the base of the prism?
Answer:
Base = 8 * 17
Step-by-step explanation:
(Not sure what the "8" is, assuming an accidental input.)
Base area = 3536/26 = 136
136 = Lw
L = 136/w
L = w + 9
136/w = w + 9
136 = w(w + 9)
136 = w² + 9w
w² + 9w - 136
(w + 17)(w - 8)
Only use the positive result. w = 8
L = 8 + 9 = 17
Edit: Maybe 8 is the answer accidentally included in the question?...
What is the length of the diagonal of the rectangle? Round to two decimal places
A. 7.61
B. 16.31
C. 19.86
D. 38.60
Answer:
Option C
Step-by-step explanation:
By the property of a rectangle,
"All interior angles of a rectangle measure 90°"
Therefore, m∠ABC = 90°
By applying cosine rule in the right triangle ABC,
cos(∠CAB) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(25°) = [tex]\frac{AB}{AC}[/tex]
AC = [tex]\frac{AB}{\text{cos}(25)}[/tex]
AC = [tex]\frac{18}{\text{cos}(25)}[/tex]
AC = 19.86
Therefore, Option C will be the answer.
Help math plzshnsndnfjc
Answer:
11 inches
Step-by-step explanation:
So first I don’t typically go with fractions so I broke 2 3/4 down into a decimal which is:
2.75
Then the index card is
4 by 2.75
Then you multiply the sides
4 x 2.75
= 11 inches
WILL GIVE BRAINLIEST
Another game you’ve set up at casino night involves rolling a fair six-sided die followed by tossing a fair coin. In this game, players earn points depending on the number they get on the die and which side of the coin turns up. For example, the player earns 5 points for getting (2, tails) Question 3 Find the probability that tails and an even number do not occur together.
Answer:
The probability that tails and an even number do not occur together is 3/4.
Step-by-step explanation:
There are three outcomes in which tails occurs with an even number (2, tails), (4, tails), (6, tails). The probability of this event is 3/12 = 1/4 . The probability that tails and an even number do not occur together is 1 - 1/4 = 3/4.
Answer:
Sample answer for Edmentum
Step-by-step explanation:
Sally can paint a room in 8 hours while it takes Steve 6 hours
Answer:
Step-by-step explanation:
Sally paints ⅛ of a room per hour.
Steve paints ⅙ of a room per hour.
Working together, they paint ⅛ + ⅙ = 7/24 of the job per hour, finishing in 24/7 hours.
Will mark brainlest Thanks
Answer:
the answer is d
Step-by-step explanation:
In the linear equation y = -6x - 4, the y-intercept is:
-6
6
-4
4
Answer:
The second one
4/5 is next to x
And the y intercept is NEGATIVE 6 or (-6)
Step-by-step explanation:
A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?
Please explain
add 12 with 16 by 20 it gives you 48 cubic inches
12 +16+20=48 cubic inches
Bao is driving to a concert and needs to pay for parking. There is an automatic fee of
$6 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $2 for every hour she had her car in the lot. How much total money would
Bao have to pay for parking if she left her car in the lot for 5 hours? How much would
Bao have to pay if she left her car in the lot for t hours?
Answer:
16
Step-by-step explanation:
6+2(t) --> 6+2(5) --> 6+10=16
Please help me I really need to finish thisssss. (Brailiest!)
Answer:
208
Step-by-step explanation:
A=2(wl+hl+hw)=2·(6·4+8·4+8·6)=208
9 m
c) radius =
diameter =
Answer:
radius is 9 m and diameter is 2 x9 = 18
Find the value of x. The diagram is not to scale
Answer:B-70
Step-by-step explanation:
from the figure, In [tex]\triangle ABC\ \text{and}\ \triangle ADE[/tex]
[tex]\Rightarrow \dfrac{45}{45}=\dfrac{24}{24}\\\Rightarrow \dfrac{1}{1}=\dfrac{1}{1}[/tex]
[tex]\therefore \text{two triangles are similar}[/tex]
Thus we can write
[tex]\Rightarrow \dfrac{35}{x}=\dfrac{45}{45+45}\\\\\Rightarrow x=35\times \dfrac{90}{45}=35\times 2=70[/tex]
which is an equation of a line through (7,1) and perpendicular to y=-x+3
Answer:
The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.
Step-by-step explanation:
y=mx+b
m=-1
y-y=m(x-x¹)
y-1=-1(x-7)
y-1=-1x+7
+1 +1
y=-x+8
I hope this helps:)
Evaluate f(x)=5x−8 when x=−3,0, and 4 PLS ANSWER FAST :D
Answer: -23, -8, 12
Step-by-step explanation:
f(x)=5x−8
When x=−3,
f(-3)=5(-3)−8 = -15-8 = -23
When x=0,
f(0)=5(0)−8 = -8
When x=4,
f(4)=5(4)−8 = 20-8=12
The diagram shows a parallelogram ABCD and an equilateral triangle BDE.
CDE is a straight line.
(a) Work out angle BDE
Give a reason for your answer.
(b) Work out angle CDB
Give a reason for your answer.
Answer:
a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.
b) ∠CDB = 120° because 180° - 60° = 120°
Step-by-step explanation:
What is the slope of the line that contains these points?
х
15
17
19
21
10 2
14
26
Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
The slope of the line is 6.
Geometry!! Will give brainliest
it's the second one.
HELP ME PLEASE HERE IS THE IMAGE I NEED THE HELP PLEASE
Answer:
6
Step-by-step explanation:
when the imposter is sus
Answer:
The answer is 6
Step-by-step explanation:
You have to add all of them together and then divide the number you get with how many number there are.
Find each missing measure, please help
Answer:
well i can't find the missing measure if the actual measure is missing
Step-by-step explanation:
Helpmate!!!!!!!!!!!!!!!!!
Answer:
$150
Step-by-step explanation:
Answer:
The answer is $150
Step-by-step explanation:
My friend had this question and told me the answer
A new car is purchased for $49,000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $32, 200?
Answer: t≈ 4.2
Step-by-step explanation:
4x - 5= 2(2x - 1) -3
Answer and Step-by-step explanation:
Solve for x.
Distribute the 2.
4x - 5 = 4x - 2 - 3
Combine like terms
4x - 5 = 4x - 5
Add 5, and subtract 4x.
0 = 0
There are infinitely many solutions, meaning any value plugged in for x will result in the equation being true.
#teamtrees #PAW (Plant And Water)
Pls someone help me with this question pls
Answer:
[tex]p =\frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]
Required
Probability of assigning a nonagon
From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon
This means that:
[tex]n = 6[/tex] --- Total
[tex]Nonagons = 1[/tex]
So, the probability, p is:
[tex]p =\frac{Nonagons}{n}[/tex]
[tex]p =\frac{1}{6}[/tex]
someone please help me asnwer this!!
Answer:
okokokokokoo9i876t5rew
Step-by-step explanation:
4s3a468
How many ways can 3 crayons be selected from a
box of 24 crayons to color a picture?
Answer:
12144 ways
Step-by-step explanation:
24×23÷22= 12144
NEED HELP ASAP FREE BRAINLIST
Answer:
G
Step-by-step explanation:
Answer:
The answer is H
Step-by-step explanation: