Allen's answer for Part A was 12:42, which he simplified to 2:7. His answer is incorrect.

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the

tia_tia [17]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: $k=\frac{y}{x}$

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

5 0

3 years ago

Shade the model to show the decimal 0.542 using 100 grid and 10 grid

kherson [118]

0.542=0.500 + 0.040+0.002

= $\frac{5}{10} + \frac{4}{100} +\frac{2}{1000}$

=5 tenth + 4 hundredths + two thousandths

One tenth = $\frac{1}{10}$

One Hundredth= $\frac{1}{100}$

One thousandth= $\frac{1}{1000}$

8 0

3 years ago

Read 2 more answers

Find the area of the figure. PLEASE HELP I NEED IT URGENT PLEASE

ale4655 [162]

Answer:

#5

Area = Area of bigger triangle - Area of small triangle

${ \rm{area = ( \frac{1}{2} \times b_{b} \times h_{b}) - ( \frac{1}{2} \times b_{s} \times h _{s} )}} \\ \\ { \tt{area = ( \frac{1}{2} \times 18 \times 7) - ( \frac{1}{2} \times (18 - 13) \times 7) }} \\ \\ { \tt{area = (9 \times 7) - (2.5 \times 7)}} \\ \\ { \underline{ \tt{ \: \: area = 45.5 \: \: sq \: units \: \: }}}$

#8

Area = area of square + area of two right angled triangles

${ \tt{area = (s \times s) + 2( \frac{1}{2} \times b \times h)}} \\ \\ { \tt{area = (6 \times 10) + (3 \times 5)}} \\ \\ { \underline{ \tt{ \: \: area = 75 \: \: {m}^{2} \: \: }}}$

5 0

1 year ago

Read 2 more answers

An above ground pool with 17,100 gallons of water was draining. If the pool drained at a rate of 1,800 gallons per hour, how man

zhuklara [117]

Answer:

6 Hours

Step-by-step explanation:

17,100 - 6,300= 10,800

10,800/1,800 = 6

8 0

2 years ago

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights ar

ki77a [65]

Answer:

Step-by-step explanation:

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

54.03 inches

48.57 inches

48.00 inches

49.17 inches

6 0

2 years ago