Mathematics High School

The area of a rectangle varies jointly as the length and the width, and whose A = 72 sq. cm when l = 3 cm and w = 2 cm. What is the constant of variation (k)?
a. 12
b. 10
c. 8
d. 14​

Answers

Answer 1

Answer:

a

Step-by-step explanation:

Given A varies jointly as l and w then the equation relating them is

A = klw ← k is the constant of variation

To find k use the condition A = 72 when l = 3 and w = 2 , then

72 = k × 3 × 2 = 6k ( divide both sides by 6 )

12 = k

Related Questions

Use the graph to answer the following…

Answers

Answer:

slope = 2 because it goes up by 2 and across 1

10 = 2(1)+b

10=2+b

-2   -2

b = 8

y intercept = 8

equation: y = 2x+8

yes it is proportional because it has a constant rate of change or slope

Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?

Answers

Answer:

she keeps 270

Step-by-step explanation:

have of 600 is 300 10 percent of 300 is 30

300-30 is 270

x^2 - 8x + 5 = 0

(a) find the value of the discriminant

(b) state the number and type of the roots (2 real, 2 imaginary/complex or 1 real).

Answers

Answer:

√44

2 Real Roots

Step-by-step explanation:

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

A car is 200 inches long. A truck is 50% longer than the car. How long is the truck?

Answers

If a truck is 50% longer than the car, then its 1.5x.

200 * 1.5

= 300

So the truck is 300 inches

*50% of 200 is 100.

100+200=300* would be your answer.

this question has already been answered in Brainly.I am just giving you the answer of what someone else said.*CREDIT GOES TO:izzykissel*

This should help.

To the nearest tenth, what is the BEST estimate of the value 5√10

Answers

Answer:

15.8 i think

Step-by-step explanation:

y+4=-7(x-3)
can someone pls explain I'm so confused? In needs to be in slope int form

Answers

Answer:

so slop int form is y=mx+b

so start off by distributing the -7 to the x and -3

so that leave you with y+4=-7x+21

get it all on the same side

y-7x-17

Step-by-step explanation:

Answer:

y =  m x  +  b .

y  =  − 7 x  +  17

Step-by-step explanation:

Hope this helps!!! :))

Explain why 50 is not a multiple of 6.

Answers

Answer: A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Therefor, 50 could not be a multiple of 6.

Step-by-step explanation:

-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?

A)0
B)1
C)2
D) Infinite

Answers

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

x+y+y+x+8+9+638763863278432842647823

Answers

Answer:

2

+

2

+

6

3

8

7

6

3

8

6

3

2

7

8

4

3

2

8

4

2

6

4

7

8

4

0

Step-by-step explanation:

Heyy , can you help me do this question

Answers

Answer:

1/6 studets

Step-by-step explanation:

The answer is 30 students

is this correct??????

Answers

First, since we know that the total number of stamps that Josef has is j and that Mai will have j – 500 stamps, we can set up an equation. The total number of stamps should be j + (j – 500), which can be simplified to 2j – 500. We can set up cross multiplication since we know Josef has 60% of the stamps. = When we cross multiply, we get 100j = 60(2j – 500). Next, using the distributive property, multiply to get 100j = 60(2j – 500). Then use the additive inverse property to subtract 120j from both sides and get -20j = -30,000. Finally, divide by -20 to get j = 1,500.

C. 1,500 hope this helps

Find the slope of the line that passes through (1, 13) and (10, 6).

Answers

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 6-13)/(10-1)

    = -7/9

Martin uses his power saw every 15 seconds.How many times did he use it in one hour ?​

Answers

Answer:

60÷15 =4

Therefore Martin uses his power saw 4 times in one hour

Answer:

60/15=4

Step-by-step explanation:

He uses his power saw every 15 that inside of an hour is 4 because when you do the division its going to = 4

Write an equation in point-slope then convert into slope intercept for a line that passes through (3,-2) with a slope of -2

Answers

Answer:

Point-slope form: [tex]y+2=-2x+6[/tex]

Slope intercept form: [tex]y=-2x+4[/tex]

Step-by-step explanation:

[tex]y - y_{1} = m * (x - x_{1})[/tex]

[tex]y-(-2)=-2*(x-3)\\y+2=-2x+6\\y=-2x+4[/tex]

what is 5 1/8 = ?/? please answer ty

Answers

Answer:

the awnser is in fraction form

[tex] \frac{41}{8} [/tex]

Candy is sold out in 4 pound bags. How many full

Answers

Full what exactly it is not specified what you need

Raíz cuadrada cúbica de 17

Answers

Answer:

2.5713

Step-by-step explanation:

Find the value of X - triangle measurments
I WILL GIVE BRAINLIEST!

Answers

180/3=60
4x-20=60
4x=80
x=20

Answer:

x = 20

Step-by-step explanation:

from how the sides are marked it is an equilateral triangle, to see it does not seem. assuming that it is equilateral it has 3 angles of 60 ° for which 4x - 20 = 60

4x - 20 = 60

4x = 80

x = 80 : 4

x = 20

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

4 * 20 - 20 = 60°

2 1/6 divided by 3/4

Answers

Answer:

Exact form = 26/9

Decimal form = 2.8

Mixed number form = 2 8/9

Step-by-step explanation:

Hope this helps

PLZ SOLVE THIZZZ.............................

Answers

Answer:

B

Step-by-step explanation:

Answer: Angle x = 77 degrees

B. Alternate Angles

Step-by-step explanation:

A car gets 20 miles per gallon. How many gallons would the car need to travel 90 miles?

Answers

Answer: In decimal the answer is 4.5 but if in fraction the answer is 4 1/2

Step-by-step explanation: First we have to divide 90 and 20 will give us 4.5 or 4 1/2

90 x 20 = 4.5 or 4 1/2

Hope this help!!!

1. It takes you 2 hours to travel 110 miles. How far can you travel in 5 hours?

Answers

Answer:

275 miles

Step-by-step explanation:

110/2 = 55 miles

you travel 55 miles an hour

multiply that by 5 to get your answer

equals 275 miles

Hope this is helpful.

Answer:

275 miles in 5 hours

Step-by-step explanation:

110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.

evaluate the following using identity
1 (a+4) ( a-4)
2. (1/p + 1/q) ( 1/p - 1/q )
3. ( 6x - 5) (6x + 5)​

Answers

Answer:

refer to the picture attached for steps

hope it helps

PLEASE HELP ME OUT

PEFORM THE FOLLOWING CONVERSIONS USING UNIT FACTORING

15 m = ______ mm
0.75 L = _____mm

Answers

Answer:

15000 millimeters

750000 millimeters

If the start Time is 8:00 and the end time is 11:00.a.m,what is the elaped time? ?​

Answers

Answer:

3 hours

Step-by-step explanation:

What is the answer to 30a + 15b + 14b =

Answers

Answer:

30a + 29b

....................

Answer:

30a + 29b is the answer

We just need to add

Complete the given ordered pairs for the equation.
y= 2x + 7
(7, )
(0, )
(-5, )

Answers

* means multiply

y = 2 * 7 + 7 = 14 + 7 = 21 -> (7,21)

y = 2 * 0 + 7 = 0 + 7 = 7 -> (0,7)

y = 2 * -5 + 7 = -10 + 7 = -3 -> (-5,-3)

need help with math

Answers

Ah sorry I got it wrong, dear

B. 1/2

Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2

pls pls do this it is very important

Answers

Answer:

6x+3+2x+8

6x+2x+3+8

8x+11x

Find the commission,
Earning Commission
Sales Commision Rate Commission
$710
6%
?

Answers

Answer:

$42.60

Step-by-step explanation:

(6/100)×710

= $42.60

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