So if y varies directly as x, and y=21 when x=3. What is x when y=42?

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Equation:

[tex]\frac{3}{21} = \frac{x}{42}\\\\Cross - multiply\\\\3 *42 = 21x\\\\126 = 21x\\\\x = 6[/tex]

-Chetan K


Related Questions

What are Multiple Representations

Answers

Answer:

Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity

Answer:

Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate different mathematical features of the same object or operation, as well as connections between different properties.

Find the perimeter. Simplify your answer.

Answers

Answer:

Perimeter = 24p + 17

Step-by-step explanation:

Perimeter = the sum of the sides of the figure.

Perimeter = (7p + 9)  + (10p - 1) + (7p + 9)

Perimeter = (7p + 10p + 7p) + (9 - 1 + 9)

Perimeter = 24p + 17

Answer:

24p+17

Step-by-step explanation:

Perimeter of triangle = 2(7p+9)+(10p-1)

                                  = 14p+18+10p-1

                                   = 24p+17

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

Answers

Answer:

x=(m)(7)(6) or x=m*7*6

Step-by-step explanation:

-3 + r > 4 OR r + 1 < -1​



PLEASE HELP​

Answers

1) - 3 + r > 4

=》r > 4 + 3

=》r > 7

2) r + 1 < -1

=》r < -1 - 1

=》r < -2

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

[tex]\sf -3 + r > 4[/tex]

[tex]\sf -3+r+3>4+3[/tex]

[tex]\boxed{\sf r>7}[/tex]

_______________

[tex]\sf r + 1 < -1[/tex]

[tex]\sf r+1-1<-1-1[/tex]

[tex]\boxed{\sf r<-2}[/tex]

_______________

Find the missing value given the points and slope.


(x,1) and(4,6)


m=−5

Answers

Answer:

x = 5

Step-by-step explanation:

yeah-ya...... right?

Step-by-step explanation:

the slope is the ratio y change/ x change.

it is -5 here, that means -5/1.

we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).

in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.

so, point 1 is (5, 1).

point 2 is a indicated (4, 6).

a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum​

Answers

Answer:

Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.

Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52

Answers

Answer:

C ( 2.8 x 13 = 0.7 x 52)

Step-by-step explanation:

2.8 x 13 = 36.4

0.7 x 52 = 36.4

36.4 = 36.4

Answer:

Answer : 36.4

Step-by-step explanation:

thanks pi sa points uwu

match the pairs with equivalent expressions

Answers

I do not see any pairs so I’m not sure how I’m going help with that.

Answer:

Where is the picture

Step-by-step explanation:

Give us the picture or something like that

The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?

Answers

Answer:

The store sold 21 T-shirts and 18 pairs of shorts.

Step-by-step explanation:

x = the number of T-shirts sold

y = the number of pairs of shorts sold

x + y = 53

12x + 9y = 570

x = 21 T-shirts

y = 18 shorts

solve pls brainliest

Answers

Answer:

1 = A  3 = b  4 = c

Step-by-step explanation:

I folded, trust me

Answer:

1 =a 2=d 3=b 4=c

Step-by-step explanation:

Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?

Answers

Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.

Hope I helped:)

Evaluate. 84
A.65,536
B. 4096
C. 512
D.32
PLZZZZZZ HELP and rate my rovlox fit

Answers

Answer:

its 32

Step-by-step explanation:

The value of the expression is 55/3.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

84 ÷ 42 x 6 + 18

Using the PEMDAS rule.

84 ÷ 252 + 18

84/252 + 18

1/3 + 18

(1 + 54)/3

= 55/3

Thus,

The value of the expression is 55/3.

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The complete question:

84 ÷ 42 x 6 + 18

Solve the expression.

Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b

Answers

Answer:

m

Step-by-step explanation:

The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.

So the answer is m.

However, we could use slope formula = change in y divided by change in x.

Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.

Change in x is 13-2=11.

So the slope is 11m/11=m.

80 POINTS!!! HELP ASAP!!!!

Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.

g(x) = f(x − 3) + 4

A.
The graph of function f is shifted right 3 units and down 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted left 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and up 4 units.

Answers

Answer:

its c

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation: shifted right 3 units and up 4 units.

What is the area of this tile?

Answers

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

In parallelogram HIJK, the measure of angle H is 45∘.

Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.

Answers

Answer:

The angle diagonal to angle H = 45

The other two angles equal 135

Step-by-step explanation:

A line equals 180. So 45+135 = 180

I'm sorry that I couldn't list names of the angles. I would need a picture. I hope this made since and could help. God bless!

The measure of angle J is 45 degrees and The measure of angle K is also 45 degree. In a parallelogram, opposite angles are congruent, meaning they have the same measure.

Given that angle H measures 45 degrees, we can use this property to find the measures of angles J and K.

Measure of Angle J:

Since angle J is opposite to angle H in parallelogram HIJK, angle J will also measure 45 degrees. This is because opposite angles in a parallelogram are equal.

Measure of Angle K:

Similarly, angle K is opposite to angle I in parallelogram HIJK. Since the opposite angles are congruent, angle K will also have a measure of 45 degrees.

In summary, the measure of angle J in parallelogram HIJK is 45 degrees, and the measure of angle K is also 45 degrees. This is a property of parallelograms where opposite angles are congruent.

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a movie theater can seat 200 people. for one show 85 people are in the theater already. solve the inequality to find how many more people can attend this show

Answers

200-85=115 will be the answer.

Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.

Answers

Answer:

always

Step-by-step explanation:

The terms of a polynomial are _always_ monomials.

A polynomial is a sum of monomials.

‘Always’ is the answer

I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.

Answers

4.b.

Answer:  See below.

Step-by-step explanation:

For the equation f(x) = 2x

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

f(6) = 12

3.b.  f(-11) = 2(-11)

f(-11) = -22

3.c.  f(2.75) = 2(2.75)

f(2.75) = 5.5

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

The rest of (3) are solved in the same fasion.h

For the equation  f(x)= 5x+50

4.a.  f(7) = 5(7)+50

f(7) = 85

4.b. f(-12)

  f(-12) = 5*(-12)+50

f(-12) = -60

Continue in the same fashion for these types of problems.

Please help! WILL MARK BRAINLIEST

Answers

Answer:

50

Step-by-step explanation:

I mode
Simplify the expression.
2(8 + 24) = 23 x 4
X
X
ngles.
How do you simplify this?

Answers

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.

Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?

y=2,471x−230y is equal to 2 comma 471 x minus 230

y=−230x+2,471y is equal to negative 230 x plus 2 comma 471

y=2,471x+230y is equal to 2 comma 471 x plus 230

y=230x+2,471y is equal to 230 x plus 2 comma 471

Answers

Answer:

y= 2,471x - 230y because each day he travels the same average distance of 230 miles

Answer:

230 miles that is the answer

The perimeter of the table shown is 16 feet. Write an equation in the form px+q=r to solve for x.

Answers

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

Since the perimeter is 16 feet, we have

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

On the coordinate plane below, what is the length of AB? A coordinate plane is shown with the following points A at negative 7, 4; B at 8, 4; C at 8, negative 3; D at negative 7, negative 3. All points are connected to create a rectangle. 7 units 8 units 15 units 16 units

Answers

Answer:c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

solve for x

3x/6 + 1 = 7

Answers

Subtract one from each side and then multiply -6 to each side and then divide by 3 and the answer is x=-12

Find n. 36 ÷ n = 4 Need this quick

Answers

[tex]\rule{300}{3}[/tex]

[tex]\text{Hi!}[/tex]

To identify which number is "n", we'll need to divide the numbers that we DO know. For instance:

[tex]\text{36}[/tex] ÷ [tex]\text{4}[/tex] = [tex]\text{9}[/tex]

[tex]\boxed{\text{9}}[/tex]

[tex]\rule{300}{3}[/tex]

If you make an initial deposit of $1000 in an account that yields 5% interest
annually. Find your balance at the end of a year.
Show your work !

Answers

SI

$1 000 × 4 % × 10 = $400

CI

($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24

Interest on interest only applies to Compound Interest.

Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24

- BRAINLIEST answerer

The solution is $ 1050

The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the initial amount or principal be P = $ 1000

The rate of interest R = 5 %

The time period T = 1 year

So , the simple interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 1000 x 5 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 5000/100

Simple Interest S = $ 50

And , the amount after one year = Principal + Simple Interest

The amount after one year A = $ 1000 + $ 50

The amount after one year A = $ 1050.00

Hence , the amount is $ 1050.00

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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y=2x+1
y=x-2

one solution; (–3, –5)

infinitely many


no solution


one solution; (–5, –3)

Answers

Answer:

y=11-2x           x + y =15

4x − y=7 and 2x − y=15 all have one solution

x=12 − 3y             2x + y=7

3x + 9y=24 and -4x=2y + 14 have no solution

you can just put the rest in infinite solutions

Step-by-step explanation:

answer the three questions pls

Answers

If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents

You deposit $5000 into a savings
account. If you cam a simple
interest rate of 3%, how much
interest will you earn after 5 years

Answers

$750
Because if you multiply 5000 by .03 that equals $150 which is the amount of interest per year then you can multiply that by 5 giving you $750
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