Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"​

Answers

Answer 1

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2


Related Questions

Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years​

Answers

Answer:

50$

Step-by-step explanation:

5% of 500=25

If you earn 25 per year then in two years you will earn

25+25=50$

Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5​

Answers

Which equation can be used to solve a - 5 = 30

answer= a=30+5

HOPE THIS HELPS YOU......

Can some one help me out with this please?

Answers

Answer:

GOD BLESS YOU

Step-by-step explanation:

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?

Answers

Answer:

15.25%

Step-by-step explanation:

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 12.34 ounces

σ is the population standard deviation = σ = 0.04 ounce

For x = 12.24

z = 12.24 - 12.34/0.04

z = -2.5

Probability value from Z-Table:

P(x = 12.24) = 0.0062097

For x = 12.30

z= 12.30 - 12.34/0.04

z = -1

Probability value from Z-Table:

P(x = 12.30) = 0.15866

Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice

P(x = 12.30) - P(x = 12.24)

= 0.15866 - 0.0062097

= 0.1524503

Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:

= 0.1524503 × 100

= 15.24503%

= 15.25%

Volume & surface! May I please have help

Answers

Answer:

D

Step-by-step explanation:

surface area of cylinder

=(area of base)×2 + (area of curved surface)

[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25

=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25

help pls i beg youuu

Answers

Answer:

height = 10 m

Step-by-step explanation:

base area of rectangular pyramid =180 m^2

volume of rectangular pyramid = lwh/3

600 = 180*h/3

600*3 = 180*h

1800/180 =h

10 = h

Answer:

I think the answer to the question is 10

Solve the formula d = rt for r.

Answers

r= d/t
you just divide both sides by t to isolate r

The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x < 1
x - 7 < -4

Answers

The answer is the third one, x - 7 < 4

To find it all you need to do is plug in -2 for x and see if the inequality is true.

When you do the math for the first one, you get 5 > 5. That is not true as 5 is equal to 5, not greater.

For the second one you get 6 < 1. Again, that is not true as 1 is not greater than 6.

Finally, you get -9 < -4 for the third one. This one is correct as -9 is a smaller number than -4.

Answer:

The answer is the third one, x - 7 < 4

Step-by-step explanation:

How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0

1. 2
2. 0
3. 1
4. 3

Answers

Answer:

Option 1: 2

Step-by-step explanation:

see the plotting (made with desmos)

note that 3 is impossible, because a quadratic equation can't have 3 real zeros

how does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x

Answers

Answer:

Step-by-step explanation:

The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x.  Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.

To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1).  We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3).  Finally, we translate the entire new graph downward 5 units.

is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)

Answers

Answer: Yes.

Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.

express . 05 as a proper fraction in its lowest terms​

Answers

because 5 is in the hundredth place, we know it’s 5/100. then, you can divide top and bottom by 5. so 1/20

a=8 and b=2.25 but what is k

Answers

Answer:

a = 8, b = 2.25, k = 27

Step-by-step explanation:

y = abˣ

Points on the graph:

(0, 8), (1, 18), (1.5, k)

Substitute coordinates into equation and solve for and and b:

8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25

Find k:

k = 8*[tex]2.25^{1.5}[/tex] = 27

Answer:

a=8

b=9/4

k = 27

Step-by-step explanation:

y = ab^x

We know that a is the initial value or when x = 0

We know the point (0,8) so a = 8

y = 8 b^x

Using the point (1,18) for x and y we can find b

18 = 8 * b^1

18/8 = b

9/4 = b

Now

y = 8 * ( 9/4) ^ x

Letting x = 1.5

k = 8 *(9/4)^1.5

k = 27

URGENT HELP NEEDED!!!!!

Find the simple interest earned at the end of 1 year. Show your calculations as best as possible (1 mark) correct answer (1mark) P = $1800 R = 5% T = 1 year


What is the total amount earned at the end of 3 years? P = $2600 R = 12% T = 3 years
1 point
$936
$3 536
$93 600
Both A and B


What principal would give an interest of $36 in 3 years at 3% p.a.? Show your calculations as best as possible (1 mark) correct answer (1mark)


In how many years will $600 double itself at 10% simple interest?
1 point
8 years and 4 months
8 years and 1/3
100 Months
All of the above
Both A and B


In what time will $400 amount to $512 if the simple interest is the calculated at 14% p.a.? Write your answer


Imagine you have a friend who doesn't quite understand what investing money into a bank means. Think of a financial situation and use the following words and numbers to help teach them. (principal $1200, interest earned, interest rate 4%, total amount, term, per anum). This is worth 8 marks.

Answers

Answer:

k

Step-by-step explanation:

If 5400=54(100x+54), then x=?

Answers

Answer:

x=23/50

Step-by-step explanation:

Answer:

0.46

Step-by-step explanation:

Divide 5400 by 54 to get rid of it from the right side.

You will get 100=100x+54

Then subtract 54 from 100.

46=100x

Lastly, divide your number by 100 to get x.

Given that the area of the trapezoid is 55cm find x

Answers

Answer: The value of x is 13.

Step-by-step explanation:

Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]

Here , Parallel sides = 9 cm , x cm

Height (Altitude ) = 5 cm

Area = 55 sq. cm

Substitute all values in the formula , we get

[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]

Hence, the value of x is 13.

Find the y-intercept of the line which passes through (-2,-2) and (2,-4). O A. (0, -3) O B. (-3,0) O C. (0, -6) O D. (-6,0) O E. (0,-5)​

Answers

9514 1404 393

Answer:

  A.  (0, -3)

Step-by-step explanation:

Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...

  (0, -3)

- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)

Answers

Answer:

B.x>-17

Step-by-step explanation:

1. Divide both sides by -4:

-4x/-4<68/-4

2.< will change to > since you are dividing by negative

3.your final answer will be x>-17

The slope of the line passing through the points (6, -1) and (7, -2) is

-3
-1
1

Answers

Answer:

-1

Step-by-step explanation:

when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.

p.s tysm

Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5

Answers

8x provides distant of issue so 0 and -1.5 evaluate

The proper way to express the above inequality is 6x4(2x-1) is x2.

What is inequality?

A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.

6x4(2x-1) is the given inequality.

So, 6x≥8x-4

6x off of both sides gives us

6x-6x≥8x-4-6x

0≥8x-6x-4

0≥2x-4

4 added on both sides give us

0+4≥2x-4+4

4≥2x

By dividing both sides by half, we obtain

(1/2)×4≥(1/2)×2x

2≥x

x≤2

Therefore, x≤2 is the correct representation.

Learn more about inequality here:

brainly.com/question/19498063

#SPJ7

Please help!! I'm in summer school and I can't fail

Answers

Answer and Step-by-step explanation:

The slope would be positive 1. (Third answer choice).

This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.

#teamtrees #PAW (Plant And Water)

2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?

Answers

Answer:

Independent

Step-by-step explanation:

Since the ball is replaces, the same number of balls and type of balls are in the bag.  The draw is identical to the first draw so the draws are independent.

slope:1/6 point: (24 ,4)

Answers

Answer:

y -4 = 1/6(x-24)

y = 1/6x -2

Step-by-step explanation:

We can point slope form

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y -4 = 1/6(x-24)

Or we can write slope intercept form

y = mx+b where m is the slope and b is the y intercept

Substituting the points

4 = 1/6(24)+b

4 = 6+b

4-6 = b

-2 =b

y = 1/6x -2

Answer:

[tex]y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x[/tex]

Awnser this for brainliest.

Answers

Answer:

1 is the number that goes in the blank

Step-by-step explanation:

3(2x+1)

Distribute

3*2x+3*1

6x+3

Answer:

3*2x+3*1

6x+3

hope it help

HELP HELP HELP HELP HELP

Answers

Answer:

C

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

315,728 rouned to the nearest ten thousand

Answers

Answer:

320,000 is the answer

Step-by-step explanation:

have a good day!!

Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12

Answers

Answer:

36.87

Step-by-step explanation:

Using tan inverse of 9 over 12

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )

(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)

Answers

The foot of the ladder is
10
feet away from the base of the wall. [Ans]

I need help please and thank you!!

Answers

Answer:

Option 4

Step-by-step explanation:

2x² + 32 = 0

2x² = -32

x² = -16

sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)

I think The answer is 4

what is 3x+8 + 4x+10

Answers

7x+18-answer

Step-by-step explanation:

3

+

8

+

4

+

1

0

3x+8+4x+10

3x+8+4x+10

Simplify

1

Add the numbers

3

+

8

+

4

+

1

0

3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}

3x+8+4x+10

3

+

1

8

+

4

3x+{\color{#c92786}{18}}+4x

3x+18+4x

2

Combine like terms

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]3x + 8 + 4x + 10[/tex]

Bring the like terms together & add them.

[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]

[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]

____________________

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