Evaluate 3xy- y + 6z when x = 1, y = - 2 and z = 3

Answer: when x = 7, y = 16

Step-by-step explanation: Here, we know that y varies inversely as x.

When we have two sets of inversely related coordinates, x₁ and y₁,

and x₂ and y₂, we can use the product rule, shown below,

to find the missing value.

Here, we know that y = 14 when x = 8 so

one set of coordinates will be 8 and 14.

We want to know the value of y when x = 7.

So our other coordinates will be 7 and y.

So we have (8)(14) = (7)(y).

Simplifying, (8)(14) is equal to 112 and (7)(y) is equal to 7y.

So we have 112 = 7y.

Now we simply solve for y by dividing both sides of the equation by 7.

The 7's on the right side cancel out and

on the left, 112 divided by 7 is equal to 16.

So we have 16 = y.

So when x is equal to 7, y is equal to 16.

Answer:

2/5x

Step-by-step explanation:

Step 1: Write out "two fifths" in number form

*This becomes a fraction*

2/5

Step 2: Write out "a number" in number form

*This is a variable*

x

Step 3: Combine "of a"

*This means multiply}

2/5x

divide the temperature by the number of hours

36/12

answer: 3 degrees

Answer:

rational

Step-by-step explanation:

Answer:

The fraction 3/10 is a rational number. All fractions are rational numbers.

Answer:

She bakes 160 cookies in all.

Step-by-step explanation:

We are given that Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip and 56 of the cookies are chocolate chip.

Let the total number of cookies baked by Alyssa be 'x'.

Number of chocolate chip = 56

So, according to the question;

35% of total cookies = 56

35% of x = 56

[tex]\frac{35}{100} \times x = 56[/tex]

[tex]x=\frac{56\times 100}{35}[/tex]

[tex]x= 8 \times 20[/tex] = 160 cookies

Hence, Alyssa bakes 160 cookies for the bake sale.

Answer:

Hey there!

Using the vertical line test. In a function, one x value only has at most one y value.

Let me know if this helps :)

Answer:

33 quartes and 5 nickels

Step-by-step explanation:

Answer:

Where is the statement

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

[tex]Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3[/tex]

[tex]Possible\ Ways = 729[/tex]

Hence, there are 729 ways of answering the question

Answer:

i  got  11.8 and what do  u mean by the 2, do u mean the 2 strokes, that means that  they  are equal

Step-by-step explanation:

Answer:

6 + 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since the triangle is isosceles then the 2 marked sides are congruent.

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Thus perimeter (P) is the sum of the 3 sides

P = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]

  = 2[tex]\sqrt{20}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 2([tex]\sqrt{4(5)}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2 ( [tex]\sqrt{4}[/tex] ×  [tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2(2[tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 4[tex]\sqrt{5}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 6 + 5[tex]\sqrt{5}[/tex]

===============================================

Explanation:

Start at 6 and count the small tickmarks to see that it takes 5 spaces to go from 6 to 7 on the number line.

So each small tickmark represents 1/5 of a unit.

The arrow is 3 ticks away from the 6, so we add on 3/5 to 6 getting the mixed number 6 + 3/5 = 6 & 3/5

The 6 is the whole part, while 3/5 is the fractional part.

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

Let's convert to an improper fraction

6 & 3/5 = 6 + 3/5

6 & 3/5 = 6*(5/5) + 3/5

6 & 3/5 = 30/5 + 3/5

6 & 3/5 = (30+3)/5

6 & 3/5 = 33/5

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

You could also use the formula

a & b/c = (a*c + b)/c

to get

6 & 3/5 = (6*5 + 3)/5

6 & 3/5 = 33/5

Answer:

-8

Step-by-step explanation:

isolate the 3a by subtracting 15 from 9 which gives you -24 then divided 3a by -24 which gives you -8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 8}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3a + 15 = - 9}[/tex]

Move 15 to right hand side and change its sign

⇒[tex] \sf{3x = - 9 - 15}[/tex]

Calculate

⇒[tex] \sf{3x = - 24}[/tex]

Divide both sides by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 24}{3} }[/tex]

Calculate

⇒[tex] \sf{x = - 8}[/tex]

Hope I helped!

Best regards! :D

Answer:

To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.

pls give brainliest

Answer:

Hey there!

[tex]\sqrt{5}= 2.24\\\sqrt{32}= 5.66\\\sqrt{70}=8.37[/tex]

Let me know if this helps :)

Answer:

4n

Step-by-step explanation:

1. -7n-5n= -2n

2. -2n + 6= 4n

Answer:

-2 + 6

Step-by-step explanation:

Hopefully I helped :) Sorry if i didn't atleast i tried !

Answer:

21 or 21/1 or 42/2

Step-by-step explanation:

1. you need to change 1 1/2 to a uneven fraction

1 1/2 to 3/2

2. 3/2 * 14/1

3. Multiply across - 3/2 * 14/1 = 42/2

4.Then simplify: 21

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1 \frac{1}{2} \times 14}[/tex]

Convert mixed fraction into improper fraction

⇒[tex] \sf{ \frac{2 \times 1 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{2 + 1}{2} \times 14}[/tex]

⇒[tex] \sf{ \frac{3}{2} \times 14}[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

⇒[tex] \sf{ \frac{3 \times 14}{2 \times 1} }[/tex]

⇒[tex] \sf{ \frac{42}{2} }[/tex]

Divide 42 by 2

⇒[tex] \sf{21}[/tex]

Hope I helped!

Best regards!!

Answer:

OK i am 13 and want to help but I am not sure how to do it but I think if you find a patter then divide it by 609 it might work

Step-by-step explanation:

The number of the terms will be 20 to get the sum of 609.

An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.

Given sequence is -1, 2, 5,… the sum is 609.

The number of the terms will be calculated by using the sum formula;-

Sn = ( n / 2 ) [ ( 2a + ( n - 1 )d ]

609 = ( n / 2 ) [ ( 2 x -1 ) [ ( n - 1 ) x 3 ]

609 = ( n / 2 ) [ ( -2 + 3n - 3 ) ]

609 = ( n / 2 ) [ ( -5 + 3n ) ]

1218 = -5n + 3n²

3n² -5n -1218 = 0

n = 20

n = -21

Therefore, the number of the terms will be 20 to get the sum of 609.

To know more about arithmetic series follow

https://brainly.com/question/6561461

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Answer:

384 possible combinations are available.

Step-by-step explanation:

Types of sandwiches = 3

Types of bread = 2

Available toppings = 6

Choices for each topping = 2

Total combinations available = 3.2.2.2.2.2.2.2

                                             = 3(128)

                                               = 384

Answer:(6,-2)

Step-by-step explanation:

M is the midpoint of AB then ,

M = [tex]\frac{A+B}{2}[/tex]

[tex]5=\frac{x+4}{2}[/tex]     ,     [tex]-2=\frac{y-2}{2}[/tex]

[tex]10=x+4[/tex]  ,      [tex]-4=y-2[/tex]

[tex]x=6[/tex]          ,      [tex]y= -2[/tex]

so, B= (6,-2)

The required endpoint is given as (6, 4 ).

Given that,
To determine the coordinates of the missing endpoint if M is the midpoint of AB. A(4, -8) and M(5,-2).

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,
We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(4, -8) and M(5,-2).
Definition of midpoint says,
x = [x₁ +  x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 4, x = 5 , y₁ = -8, y = -2
now,
5 = [4 + x₂] / 2 ; -2 = [-8 + y₂] / 2
x₂ = 10 - 4 ; y₂ = -4 + 8
x₂ = 6 : y₂ = 4

Thus, the required endpoint is given as (6, 4 ).

Learn more about midpoints here: https://brainly.com/question/28224145
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AnswerStep-by-step explanation:

To find out the errors made in the data plot, let's determine what the five-number summary of the data set that should be displayed by the box plot should be.

First, order the data set given:

1, 6, 26, 27, 30, 31, 33, 34, 59

The five-number summary are:

1. Min value = 1

2. Max value = 59

3. Median = 30

1, 6, 26, 27, (30),31, 33, 34, 59

4. Q1 = (26+6) ÷ 2 = 16

1, [6, 26], 27, (30), 31, 33, 34, 59

5. Q3 = (33+34) ÷ 2 = 33.5

1, 6, 26, 27, (30), 31, [33, 34], 59

The errors in the box and whisker plot are:

1. The min value was displayed as 0 instead of 1.

2. The first quartile (Q1) was displayed as 10 instead of 16

3. The third Quartile (Q3) was displayed as 35 instead of 33.5

4. The max value was displayed as 60 instead of 59.

Answer:

-1.65

Step-by-step explanation:

3.3/(-2)=-1.65

Answer:

Answer:One plane can be drawn so it contains all three points.

Step-by-step explanation:

Took the test :P

One plane can be drawn, so it contains all three points. Then the correct option is C.

Coordinate geometry is the study of geometry using the points in space.

Consider points R, S, and T. Point S is in the middle.

Point R is below and to the left of point S. Point T is below and to the right of point S.

Let the coordinate of the S is at origin that is (0, 0)

Then the coordinate of R and T with respect to S will be (-x, -y) and (x, -y).

One plane can be drawn, so it contains all three points.

Then the correct option is C.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting  numbers, sometimes including 0.

Step-by-step explanation:

Hey there!!

Given,

[tex] \frac{3}{z} = \frac{2}{5} [/tex]

Cross multiply.

15 = 2z

Therefore, z= 15/2

Hope it helps..

Answer:

z = 7.5

Step-by-step explanation:

3/z = 2/5

then:

3*5 = 2z

15 = 2z

15/2 = z

z = 7.5

Check:

3/7.5 = 2/5

Answer:

[tex] \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}[/tex]

Step-by-step explanation:

Let Cost price ( C.P ) be x

Finding the Marked price and selling price

Marked price = [tex] \sf{x + 20\% \: of \: x}[/tex]

⇒[tex] \sf{x + \frac{20}{100} \times x}[/tex]

⇒[tex] \sf{ \frac{x \times 100 + 20x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} }[/tex] ⇒ ( i )

Selling price = [tex] \sf{marked \: price \: - 18\% \: of \: marked \: price}[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{54x}{250} }[/tex]

⇒[tex] \sf{ \frac{120x \times 5 - 54x \times 2}{500} }[/tex]

⇒[tex] \sf{ \frac{600x - 108x}{500} }[/tex]

⇒[tex] \sf{ \frac{492x}{500} }[/tex] ⇒ ( ii )

Finding the value of x ( Cost price )

[tex] \sf{loss = cost \: price - selling \: price}[/tex]

⇒[tex] \sf{20 = x - \frac{492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{x \times 500 - 492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{8x}{500} }[/tex]

⇒[tex] \sf{8x = 10000}[/tex]

⇒[tex] \sf{x = \frac{10000}{8} }[/tex]

⇒[tex] \sf{x = \: Rs \: 1250}[/tex]

Value of x ( cost price ) = Rs 1250

Now, Replacing the value of x in ( i ) in order to find the value of marked price

[tex] \sf{marked \: price = \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120 \times 1250}{100} }[/tex]

⇒[tex] \sf{ \: Rs \: 1500}[/tex]

Replacing value of x in ( ii ) in order to find the value of selling price

[tex] \sf{selling \: price = \frac{492 \: x}{500} }[/tex]

⇒[tex] \sf{ \frac{615000}{500} }[/tex]

⇒[tex] \sf{ \: Rs \: 1230}[/tex]

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

Answer:

Jeff added 52 grams more

Step-by-step explanation:

How much is 2/3 cup:

Jeff added 84 grams instead of 32 grams, so he added:

Answer:

$260

Step-by-step explanation:

Answer:

179 yds traveled in total.

Step-by-step explanation:

If the ball was 126 yd north of the ninth hole then it would be 126 yd to the hole.

Then you would have to go another 53 yd south to get to the ball.

So if you add the two together then it would be 179 yds traveled.