Answers
Answer:
x=4 and y=3
Step-by-step explanation:
Ah Algebra...
2x-3y=-1
y=x-1
Let's solve your system by substitution.
2x−3y=−1; y=x−1
Rewrite equations:
y=x−1;2x−3y=−1
Step: Solve
y= x−1
Step: Substitute x−1 for y in 2x−3y=−1:
2x−3y=−1
2x−3(x−1)=−1
−x+3=−1(Simplify both sides of the equation)
−x+3+−3=−1+−3(Add -3 to both sides)
−x=−4−x−1=−4−1
(Divide both sides by -1)
x=4
Step: Substitute4forxiny=x−1:
y=x−1
y=4−1
y=3(Simplify both sides of the equation)
Answer:
x=4 and y=3
Hope this helps :)
Stay Cold,
Brook
Answer:
(4,3)
Step-by-step explanation:
Being that the y variable is isolated in the second equation, the other side of that equation can be substituted for y in the first equation.
[tex]2x - 3(x - 1) = - 1[/tex]
Now simplify for x.
[tex]2x - 3x + 3 = - 1 \\ - x = - 4 \\ x = 4[/tex]
Now with that, insert the x value in for x in the second equation.
[tex]y = (4) - 1 \\ y = 3[/tex]
Now the correct answer is (4,3)
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:)))
Will give brainliest. Pls help. The volume of a cylinder is 300 feet^3. Find the volume of a cone and a sphere that have the same height and radius as the cylinder.
Cone:
Sphere:
Answers
Answer:
Cone: 100ft^3
Sphere: 200ft^2
Step-by-step explanation:
Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:
[tex]V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\[/tex]
So we can just instantly tell that the volume of the cone is 100feet^3.
Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with [tex]\frac{h}{2}[/tex]
[tex]V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}[/tex]
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Determine if the graph of the function opens up or down. Explain how you know
Answers
Answer:
Opens up
Step-by-step explanation:
x^2+2x-15
Standard form: ax^2+bx+c
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If a>0, then the graph opens up.
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Answers
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Step-by-step explanation:
54x+6x-30=7(x+2)+3x
60x-30=7(x+2)+3x
60x-30=7x+14+3x
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50x=14+30
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The equation of the line shown in the graph is y = ?.
Answers
y = -2x+1
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
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Answer:
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Step-by-step explanation:
I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
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4/5
Step-by-step explanation:
you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction
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Answer:
no
Step-by-step explanation:
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Step-by-step explanation:
IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION
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Answer:
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Step-by-step explanation:
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What does 0.06 represent in the equation?
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y = a (1 +r)^t
Where
y = Size after time t
a = Initial size
r = Growth rate in Percentage
t = Time t
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Answers
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1
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Answer:
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Answers
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hope this helps give me crown
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Answers
9514 1404 393
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x = (9/2)√2 = 4.5√2
Step-by-step explanation:
We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:
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Answers
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Answers
Answer:
Step-by-step explanation:
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Find the lower quartile (Q1).
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Answers
Answer:
Hi! The answer to your question is 65
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Pete runs an ice cream stand that also sells snow cones served in paper cones. The paper cones he usually uses have a radius of 3 inches and a height of 4 inches, but his supplier is out of them. As a replacement, he purchases paper cones with a radius of 4 inches and a height of 3 inches. How do the volumes of the original and replacement cones compare? A. The replacement cone holds 3π cubic inches more than the original. B. The original and replacement cones have the same volume. C. The replacement cone holds π cubic inches more than the original. B. The original cone holds π cubic inches more than the replacement.
Answers
Answer:
The correct answer is;
The replacement cone holds 4·π cubic inches more than the volume of the original cone
Step-by-step explanation:
The given measurements of the cones are;
The radius of the original cone, r₁ = 3 inches
The height of the original cone, h₁ = 4 inches
The radius of the replacement cone, r₂ = 4 inches
The height of the replacement cone, h₂ = 3 inches
The volume of a cone, V = (1/3)·π·r²·h
The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁
∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³
The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂
∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³
The ratio of the volume of the two cones is given as follows;
Volume ratio = V₁/V₂
∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4
The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³
Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.