one third of a number y is 2​

Answer:

68 cups

Step-by-step explanation:

You must divide then multiply the reciprocal

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

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Answer:

option A is the effect on the graph

Answer:

a = 3.8540

Step-by-step explanation:

3ª = 69

ln 3ª = ln69

a * 1n3/1n3 = ln69/ln3

a = 3.8540

please mark brainliest if i got it correct. if i didn't sorry :(

Answer:

y = -3x - 1

Step-by-step explanation:

The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis

Answer:

Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.

Step-by-step explanation:

First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.

Answer:

B.

Step-by-step explanation:

it represents the hours the truck was driven before running out of fuel because the further the line goes the less fuel it has until it reaches the x-axis meaning there's no more fuel

Answer:

A right triangle has one angle of 90

Step-by-step explanation:

Step-by-step explanation:

It has only one angle of 90°

Considering the definition of parallel and perpendicular line:

A linear equation o line can be expressed in the form y = mx + b.

where

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 9x+8y=-2. Expressed in the form y = mx + b, you get:

8y= -2 - 9x

y= (-9x -2)÷ 8

y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex]

Two lines are parallel if they have the same slope. So, in this case, the parallel line has a slope of  -[tex]\frac{9}{8}[/tex] and has a form of: y= -[tex]\frac{9}{8}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= -[tex]\frac{9}{8}[/tex]× (-3) + b

2= [tex]\frac{27}{8}[/tex] + b

2- [tex]\frac{27}{8}[/tex]= b

- [tex]\frac{11}{8}[/tex]= b

Finally, the equation of parallel line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{11}{8}[/tex].

The line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex].

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -[tex]\frac{9}{8}[/tex]. So:

-[tex]\frac{9}{8}[/tex]× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-[tex]\frac{9}{8}[/tex])

slope perpendicular line= [tex]\frac{8}{9}[/tex]

So, the perpendicular line has a form of: y= [tex]\frac{8}{9}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= [tex]\frac{8}{9}[/tex]× (-3) + b

2= -[tex]\frac{8}{3}[/tex] + b

2+ [tex]\frac{8}{3}[/tex]= b

[tex]\frac{14}{3}[/tex]= b

Finally, the equation of of perpendicular line is y= [tex]\frac{8}{9}[/tex]x + [tex]\frac{14}{3}[/tex].

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Answer:

angle A: 33.005

Angle B: 35.04

Angel C: 111.955

Step-by-step explanation:

look at attached image for more info

Hope it helps! Have a wonderful day

Answer:

x = -1/3 or 0

Step-by-step explanation:

Given equation:

We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.

[tex]\implies 36x^{2} + 12x = 0[/tex]

[tex]\implies 12x(3x + 1) = 0[/tex]

This can lead to two solutions. I have listed them below!

Divide 12x on both sides to open the parentheses.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

[tex]\implies 3x + 1 = 0[/tex]

Isolate 3x on one side of the equation.

[tex]\implies 3x + 1 = 0[/tex]

[tex]\implies 3x = 0 - 1[/tex]

[tex]\implies 3x = -1[/tex]

Divide 3 both sides to determine the value of x.

[tex]\implies 3x = -1[/tex]

[tex]\implies \dfrac{3x}{3} = \dfrac{-1}{3}[/tex]

[tex]\implies \boxed{x = \dfrac{-1}{3}}[/tex]

Divide (3x + 1) on both sides to isolate 12x.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

[tex]\implies 12x = 0[/tex]

Divide 12 both sides to determine the value of x.

[tex]\implies 12x = 0[/tex]

[tex]\implies \dfrac{12x}{12} = \dfrac{0}{12}[/tex]

[tex]\implies \boxed{x = 0}[/tex]

Therefore, the solutions for x are -1/3 or 0.

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Answer:

x = 0  or  x = -1/3

Step-by-step explanation:

In the equation 36x²+12x=0 we have :

36x² = 6x × (6x)

12x = 2 × (6x)

This means that 6x is a common factor,so let’s factor :

36x²+12x=0

⇔ 6x × (6x) + 2 × (6x) = 0

⇔ 6x × (6x + 2) = 0

⇔ 6x = 0  or  6x + 2 = 0

⇔ x = 0  or  x = -2/6

Answer: [tex]x^3y^9[/tex]

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near "7.".

STEP 1:

Simplify [tex]\frac{y^2}{x}[/tex]

The equation at the end of step 1:

[tex]((x^4)*\frac{y^2}{x} )*y^7[/tex]

Multiplying exponential expressions:

2.1    [tex]y^2[/tex] multiplied by [tex]y^7[/tex] [tex]=y^(2+7)=y^9[/tex]

Final result is [tex]x^3y^9[/tex]

Answer:

12ft

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (at a 90° angle) to each other.

so, in our case the area is

7 × 2 / 2 = 7 × 1 = 7 units²

Answer:

4 × 10^-1

Step-by-step explanation:

ask if you need further explanation

well, it's a vertical line, so, Check the picture below.

Problem: 2x^2+3x-9

For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.

Factor 3 out of 3x

2x^2+3(x)-9

Rewrite 3 as -3 plus 6.

2x^2+(-3+6)x-9

Apply the distributive property

2x^2(-3x+6x)-9

Remove the parentheses

2x^2-3x+6x-9

Factor out the greatest common factor from each group

Group the first two terms and the last two terms

(2x^2-3x) (6x-9)

Factor out the greatest common factor in each group.

x(2x-3)+3(2x-3)

Factor the polynomial by factoring out the greatest common factor, 2x-3

(x+3) (2x-3). So, the quotient is 2x-3

Thus, the correct answer is Option D 2x-3 with no remainder

Answer:

x = 4 would be a vertical line along with the value x=4

Step-by-step explanation:

The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.

Answer:

f(7) = 9

Step-by-step explanation:

f(x) = 2x - 5, solve f(x) = 7.​

f(7) = 2(7) -5

f(7) = 9

Answer:

[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]

Explanation:

Absolute value of a graph formula:

Identify the vertex : (h, k) = (0, -7)

As the graph opens downward, take negative/fall coordinates.

Two points: (0, -7), (10, -10)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]

Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]

Answer:

[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

-----------------------------------------------------------------------------------------

Parent function:  [tex]f(x)=|x|[/tex]

From inspection of the graph, the transformed function has been reflected in the x-axis.

[tex]\implies -f(x)=-|x|[/tex]

The vertex of the parent function is the origin (0, 0).  The vertex of the transformed function is at (0, -7).  Therefore, there has been a translation of 7 units down.

[tex]\implies -f(x)-7=-|x|-7[/tex]

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]

The line goes through point (10, -10)

Substituting this point into the above equation to find [tex]a[/tex]:

[tex]\implies -a|10|-7=-10[/tex]

[tex]\implies -10a=-3[/tex]

[tex]\implies a=\dfrac{3}{10}[/tex]

Therefore,

[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]

Answer:

$75 ?

Step-by-step explanation:

If this is wrong super sorry :)

If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tanisha's website had x visitors on Friday.

On Saturday, it had 500 more visitors than it did on Friday. That is x + 500

The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2

Then the total number of the visitors will be

→ Friday + Saturday + Sunday

Then we have

[tex]\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750[/tex]

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Answer:

29/4

Step-by-step explanation:

7/1/4 = 7 1/4 = (4/4 x 7) + 1/4 = 28/4 + 1/4 = (28/4 + 1)4 = 29/4

The quick rule is:

Multiply the integer by the denominator: 7 x 4 = 28

Add the numerator to this product: 28 + 1 = 29

Put this result over the denominator: 29/4

Answer:

38400/=

Step-by-step explanation:

8(p-1500)=8p-12000

2(p+1000)= 2p+2000

8p-12000+2p+2000=53000

10p-10000=53000

10p=53000+10000

10p=63000

p=6300/=

8 books=8(6300-1500)

=38400/=

The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We know:

[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]

We have MOE = 0.05, p = 46% = 0.46,

q = 1-p = 1-0.46 = 0.54

Z at 0.02(because 98% level of confidence) = 2.33

Plug this value in the formula we get:

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]

After solving:

n = 539.41 ≈ 540

If no estimate is given:

p = 0.5 and q = 0.5

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]

n = 542.89 ≈ 543

Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

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Answer:

Morgan is incorrect because 24 1/2- 22 3/4=1 3/4

Step-by-step explanation:

24 ¹/²- 22 ³/⁴=1 ³/⁴

Answer:

x = 43°

Step-by-step explanation:

In order to find the measure of angle x we'll use Vertical Angles Theorem.

Therefore, the measure of angle x is 43° ✓.

«•••••••••••••••••»

The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contains in the bag = 15+10+15 = 40

Total number of nickel = 10

The probability of getting the nickel = 10/40 = 1/4

The complement of the probability:

P' = 1 – 1/4

P' = 3/4

Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

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