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4 years ago

A is directly proportional to b

Mathematics

1 answer:

KonstantinChe [14]4 years ago

8 0

Answer:

a = kb

Step-by-step explanation:

"a is directly proportional to b" is expressed as a = kb, where k is the "constant of proportionality."

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Using the formula F=1.8c +32, find the difference in degrees Fahrenheit between -11C and -80F

steposvetlana [31]

Farenhite conversion of -11℃:
1.8(-11)+32
-19.8+32
12.2℉

difference between 12.2℉ and -80℉:
12.2+80
92.2℉ difference

5 0

3 years ago

The points A(12,7), B(12,-3), C(-2,-3), and D(-2,7) form rectangle ABCD. Which point is halfway between A and B?

katrin2010 [14]

To find the answer, you must find the midpoint of their x-coordinates and their y-coordinates. To do that, you take the average between their x and y-coordinates.
So, in this case, it is:
x: (12+12)/2 = 24/2 = 12
y: (7-3)/2 = 4/2 = 2

So, the answer is: (12,2)

7 0

3 years ago

Read 2 more answers

Factor 60y-90-20x to identify the equivalent expressions. Choose two answers.

pochemuha

C & D
Step-by-step explanation:
One evident common factor between 60, 90, & 20 is 10 because all these numbers end in a 0; Therefore one way to factor the equation 60y - 90 - 20x is;
10 (6y – 9 – 2x)
5 is also a common factor between the numbers 60, 90, & 20
60/5 = 12; 90/5 = 18; 20/5 = 4
Therefore 60y - 90 - 20x is also equal to;
5 (12y – 18 – 4x)

4 0

3 years ago

A group of children, adults, and senior citizens attended three different art exhibits that have different ticket prices for eac

jok3333 [9.3K]

Answer:

Option D) c = 100, a = 50, s = 20

Step-by-step explanation:

we have

6c + 7a + 2s = 990 -----> equation A

3c + 3a + 4s = 430 -----> equation B

2c + 4a + 4s = 480 ----> equation C

Isolate variable s in equation A

2s = 990 -6c-7a

s=495-3c-3.5a -----> equation D

Substitute equation D in equation B and in equation C

3c + 3a + 4(495-3c-3.5a) = 430

3c + 3a +1,980-12c-14a= 430

-9c-11a=-1,550 -----> equation E

2c + 4a + 4(495-3c-3.5a) = 480

2c+4a+1,980-12c-14a=480

-10c-10a=-1,500 -----> 10c+10a=1,500 -----> equation F

Solve the system of equations E and F by graphing

using a graphing tool

Let

The variable c -----> the x-axis

The variable a ----> the y-axis

The solution is the point (50,100)

see the attached figure

c=50, a=100

Find the value of s

s=495-3(50)-3.5(100)=-5 -----> is not make sense

therefore

Let

The variable c -----> the y-axis

The variable a ----> the x-axis

The solution is the point (50,100)

a=50, c=100

Find the value of s

s=495-3(100)-3.5(50)=20

therefore

The solution is

c=100,a=50,s=20

7 0

4 years ago

Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 4.96(2.18)x in thousands o

leonid [27]

Well, her initial investment happened at day 0, namely x = 0, let's check,

$\bf M(x)= 4.96(2.18)^x\qquad \boxed{x=0}\qquad M(0)= 4.96(2.18)^0
\\\\\\
M(0)= 4.96(1)\implies M(0)=4.96$

6 0

3 years ago

Read 2 more answers