If y =18 and x=60 what is the constant of proportionality

Enter your answers in the boxes to correctly complete this statement.

harina [27]

Answer:

349800

4

Step-by-step explanation:

First Part:

The question tells you to multiply by 10 to the power of 4.

This implies that you can move the decimal point 4 numbers to the right

When you move the decimal two numbers to the right you get 3498

Then you got to move it two more numbers to the right

3498 can also be written as 3498.0000000000 (infinite amount of zeros)

So moving the decimal two more places you get 349800

Second Part:

10^4 = 10 * 10 * 10 * 10

= 10000

Count the zeros you get 4.

3 0

3 years ago

Mary French uses gas to heat her home. She has accumulated the following information regarding her monthly gas bill and monthly

garik1379 [7]

Answer:

$Y=$24+0.09X$

Step-by-step explanation:

From the question we are told that

February Heat $H_1=1900\textdegree$

February Gas $G_1 =\$195$

April Heat $H_2=600\textdegree$

April Gas $G_2=\$78$

Generally equation for heating degree-days X is mathematically given by

$X=\frac{\triangle gas\ bills}{\triangle Heating\ days}$

$X=\frac{195-78}{1900-600}$

$X=\$ 0.09$

Generally the equation for gas bill Y is mathematically represented by

$Y=78-(600*0.09)\\Y=\$24$

The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is

$Y=$24+0.09X$

7 0

3 years ago

2. The Citadel's current enrollment is 1200 students. The enrollment is predicted to

Lynna [10]

Answer:

23

Step-by-step explanation:

hey

5 0

3 years ago

A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at

IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.

Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

Number of white marbles = 2

Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = $6_C__4$ = $\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15$

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = $3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1$ = $\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9$

So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes = $\frac{9}{15}=\frac{3}{5}=0.6$

4 0

3 years ago

WILL MARK BRAINIEST Bob cannot decide which of two washing machines to buy. The selling price of each is $495. The first is mar

sashaice [31]

Answer:

See explanation

Step-by-step explanation:

495*.3= 148.5

495-99(20%)

396-10%

The first one is cheaper and the 2nd sucks cux the 20 then 10 means the 10% off is of the 20 and is lower and lower means lesss $ off

3 0

3 years ago