Answers
Answer:
x = 5.25
Step-by-step explanation:
Solve by substitution by substituting 2x as y into the first equation:
1/2(2x + y) = 21/2
1/2(2x + 2x) = 21/2
Simplify and solve for x:
1/2(4x) = 21/2
2x = 21/2
x = 21/4
x = 5.25
So, x = 5.25
Answer:
x = 5.25
step- by - step explanation
1/2 × ( 2x + y ) = 21/2 .............( 1 )
y = 2x ......................( 2 )
substitute the value of y in ( 1 )
1/2 ( 2x + 2 x ) = 21/2
simplify
1/2 ( 2 x + 2 x ) = 21/2
combine like terms
1/2 ( 4x ) = 22/2
Divide the numbers
1/2 ( 4 x ) = 10.5
divide 4 x by 2
4 x / 2 = 10.5
2 x = 10.5
divide each side by 2
2x/2 = 10.5 / 2
x = 5.25
Related Questions
Dan is making a model volcano for the science fair. He wants an awesome eruption, so he
tries different amounts of baking soda and vinegar. First, he tries 2 tablespoons of baking
soda and 6 tablespoons of vinegar. Next, he tries 3 tablespoons of baking soda and 9
tablespoons of vinegar. Did Dan use the same ratio of baking soda to vinegar in both
eruptions?
yes
no
Answers
Answer:
Yes
Step-by-step explanation:
Dan used 2 and 6, and after 3 and 9. If you multiply 2×1.5 = 3, and 6×1.5 = 9, so the ratio is the same and is equal to 1.5
Answer:
Yes
Step-by-step explanation:
2/6 for the first ratio can be reduced to 1/3
3/9 for the second ratio can also be reduced to 1/3
A translation moves point B (-5,3) to point B’ (2,1). What is the image of (x,y) under this translation?
(X-3, y-2)
(X-3, y+2)
(X+7, y+2)
(X+7, y-2)
Answers
Answer:
4th option
Step-by-step explanation:
Given
B (- 5, 3 ) → B' (2, 1 )
The change in the x- coordinates are - 5 → 2 , that is + 7
The change in the y- coordinates are 3 → 1 that is - 2
Then the translation rule is
(x, y ) → (x + 7, y - 2 )
If translation moves point B (-5,3) to point B’ (2,1). Then (X+7, y-2) is the image of (x,y) under this translation
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
A translation moves point B (-5,3) to point B’ (2,1).
We need to find the image of (x,y) under this translation
A graph is translated k units horizontally by moving each point on the graph k units horizontally.
Which means to get B' which translation is used.
B (- 5, 3 ) and B' (2, 1 )
If we add +7 to x coordinate we will get 2.
When we subtract 2 from B we will get 1
So the translation rule is
(x, y ) → (x + 7, y - 2 )
Hence (X+7, y-2) is the image of (x,y) under this translation
To learn more on Graphs click:
https://brainly.com/question/17267403
#SPJ2
Need help ASAP DUE IN A COUPLE MINUTES ?!!!!
Answers
Answer:
[tex] \displaystyle {r}^{} = 6[/tex]
Step-by-step explanation:
remember that,
[tex] \displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3} [/tex]
given that,
V=288πthus substitute:
[tex] \displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi[/tex]
divide both sides by 4/3π:
[tex] \displaystyle {r}^{3} = 216[/tex]
cubic root both sides:
[tex] \displaystyle {r}^{} = 6[/tex]
and we are done!
The Ratio of Marbles is 3 green: 7 blue: 5 red. If a bag of marbles has 225 marbles in it,
how many green would you expect in the bag?
Answers
Answer:
45 green marbles
Step-by-step explanation:
Green : Blue : Red = 3 : 7 : 5
Fraction of green marbles = [tex]\frac{3}{3+7+5}=\frac{3}{15}[/tex]
Total marbles = 225
Number of green marbles = [tex]\frac{3}{15}*225[/tex]
= 3 * 15
= 45
What is the measure of ZWX?
Answers
Step-by-step explanation:
180°+63°
=243°
holp it help
Use the measures of angle 4 and 7 to create
an equation and solve for x:
Equation:
X=
so Angle 4 =
degrees
Answers
One angle is acute and one is obtuse so they are supplementary and add to 180
The green line below Check all that apply. A crosses the x axis B. is parallel to the x-axis O c. crosses the yaxis D D. crosses the origin I E. is in the xy plane D F is perpendicular to the yaxis
Answers
Answer:
a, c, d, e
Step-by-step explanation:
Slope-intercept from by steps
Answers
Help plz..And No links!! I repeat No links!!
Answers
Answer:
the first
Step-by-step explanation:
i did the test
A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
Answers
Answer:
Start at zero, then go to the left two times, then go down eight more. The new location would be negative ten.
Step-by-step explanation:
[NO LINKS]
This is Jovan’s solution for the equation x^2-8x-9=0:
x2 – 8x – 9 = 0
x2 – 8x = 9
x2 – 8x + 16 = 9 + 16
(x – 4)2 = 25
x – 4 = 25 and x – 4 = - 25
x = 29 and x = -21
Is Jovan’s solution correct?
Answers
Answer:
No, it's wrong
[tex] {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1[/tex]
Answer:
NoStep-by-step explanation:
x² – 8x – 9 = 0 x² – 8x = 9 x² – 8x + 16 = 9 + 16 (x – 4)² = 25 x – 4 = 25 and x – 4 = - 25 ⇒ Incorrect, should be x - 4 = 5 and x - 4 = -5 x = 29 and x = -21 ⇒ Incorrect, should be x = 9 and x = -1If y^4-y^3-3 is multiplied by 2y^3-2, what is the coefficient of y^3 in the product?
A. -4
B. -2
C. -1
D. 1
E. 6
Answers
Answer:
-4
Step-by-step explanation:
[tex](y^4-y^3-3) \times (2y^3-2)=...+[(-1)(-2)+(2)(-3)]y^3+...\\=...+[2-6]y^3+...\\=...+(-4)y^3+...\\[/tex]
so coefficient of y^3=-4
I need help:)
please
Answers
Answer:
it's 5
Step-by-step explanation:
Answer:
r = 5
Step-by-step explanation:
if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality
35 = 7r
60 = 15r
100 = 20r
'r' is 5
Find the area of a parallelogram with a base of 12cm and a height of 5cm. Giving your answer in square meters
Answers
Explanation:
what is the correct answer
Answers
Answer:
The answer is A (8 inch)
Step-by-step explanation:
All if the sides and angles are the same.
A college cafeteria wants to know which lunch food is least popular. Which of the following groups should be interviewed to ensure that the survey results will not be misleading?
A. students who go out for lunch
B. students who bring their lunch
C. students who eat in the cafeteria
D. students’ families
Answers
Answer:
c. students who eat in the cafeteria
Step-by-step explanation:
it wouldnt help to include people who dont eat the food and therefore wont have an honest opinion about the food. They have to talk to the people who do eat the food, which are those who eat in the cafeteria
Which choice is a correct equation for the line graphed below?
Please hurry!!!
Answers
Answer:
y = 3x + 1
Step-by-step explanation:
The y - intercept is +1
And the rise over run = 3/1 (because 3 is also 3/1)
Pictures are attached.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
A) y=3x+1
1 is the y-intercept (it is on the y axis)
you start at the 1 on the graph where the line passes through, then go 3 squares up and 1 to the right to land on the line again. This is rise over run, which you rise 3 squares up from 1, then run 1 square to the right. 3/1 = 3
Does anybody know it
Answers
During math class, Laura stated that the two cylinders shown below have the same volume. Jean interrupted Laura and argued that the volumes of the two cylinders are different. Their
eacher explained that Laura was correct.
Answers
Answer:
3rd option
Step-by-step explanation:
Cavalieri's principle states that two figures which have the same height and same cross-sectional area have the same volume
the height of the cylinders are both 42
the diameter of both figures is 24 as the diameter of the second cylinder = 12 x 2 = 24
the radius of the cylinders are both equal to 12
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
thus the volumes should be equal
Write an
equation of the line that passes through the points (-3,4) and (-5,1).
Answers
Answer:
4x + 8y + 20 = 0
Step-by-step explanation:
Find the surface area of a cylinder with a height of 11 feet and base radius of 3 feet.
______ square feet
Answers
Answer:
the surface area is 263.76 feet²
hope this helps
have a nice day
Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.
Answers
Answer:
[tex]y = \sqrt{ 900 - x\²[/tex]
Step-by-step explanation:
In the complete question, the area of the roller coaster is:
[tex]x\² + y^2 = 900[/tex]
Required
Solve for y
We have:
[tex]x\² + y^2 = 900[/tex]
Subtract [tex]x\²[/tex] from both sides
[tex]y^2 = 900 - x\²[/tex]
Take positive roots of both sides
[tex]y = \sqrt{ 900 - x\²[/tex]
Malachy and Paul win some money and share it in the ratio 2:1. Malachy gets £24 more than Paul. How much did they get altogether?
Answers
Step-by-step explanation:
How was Toto an expensive deal for grandfather? Do you think it
was a lesson for grandfather?
20 POINTS!
The time t required to drive a certain distance varies inversely with the speed r. If it takes 4 hours
to drive the distance at 50 miles per hour, how long will it take to drive the same distance at 40
miles per hour?
Answers
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
f f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
Answers
Answer:
Step-by-step explanation:
f(1) = 160
f(n + 1) = -2 * f(n)
n = 1
f(2) = -2*f(1)
f(2) = -2*160
f(2) = - 320
f(3) = - 2*f(2)
f(3) = -2 * - 320
f(3) = 640
f(4) = -2 * f(3)
f(4) = -2 * 640
f(4) = - 1280
what is 24 - t, t = 9
Answers
answer:
15
step-by-step explanation:
equation: 24 - t
variable: t
replace the variable with the number that represents it (9) & subtract
24 - t = ?
24 - (9) = 15
hope this helped!
Your friends asks you to bring a couple of bags of chips to his party. There are several brands of chips, each a different size and price.
Answers
Answer:
i will buy wo different with good price
Step-by-step explanation:
z = x/y
____________
Find all the missing elements.
Round to the nearest tenth.
a = 10
b = 7
C = 6
A = [?]°
B = [ ]° C = [ ]°
Answers
Answer:
A= 100.3
B= 43.5
C =36.2
Step-by-step explanation:
Answer:
The answer for Acellus people is
A = 100.3
B = 43.5
C = 36.2
Step-by-step explanation:
Use f(x) = 5x+2 and g(x)=x-3
to find (f+g)(x).
A 5x-1
B 5x^2-6
c 6x-1
D 6x+5
Answers
Answer:
d took test
Step-by-step explanation:
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PLEASE HELP 50 points
Answers
Answer:
Scalene triangle [any side and angle are not equal]isosceles triangle [two side and two angle are equal]equilateral triangle [all sides and angle are equal]right angled isosceles triangle [having one angle 90° and two other side and two angle are equal]scalene triangleequilateral triangleright angled trianglescalene triangleright angled isosceles triangleright angled isosceles trianglescalene triangleisosceles triangleequilateral triangleright angled triangleright angled isosceles triangleisosceles trianglescalene triangleequilateral triangleright angled isosceles triangleisosceles triangleequilateral trianglescalene triangleisosceles triangleright angled isosceles triangleright angled triangleright angled isosceles triangleisosceles triangle