List all the info:
3/8 gallon of white paint
2 7/8 gallon of blue paint
11/4 gallon of red paint
First, let’s answer the first question.
Francis has made _____ gal of paint when he first mixes the three colors.
Add all the gallons of paints together and you get 6. So, Francis has made 6 gal of paint when he first mixes the three colors.
Now for the second blank. All you have to do is do 6 divided by 3/8 which is 16. So, The constant of proportionality of white paint to gallons of mixed paint is 16.
Lastly, you will have to do is 3/8 x 7 = 2 5/8. (Im not too sure about this part though, but the rest I‘m pretty confident about)
Answer: increasing . . . positive . . . 2
Step-by-step explanation:
As best as I can tell . . .:
increasing . . . positive . . . 2.
The equation describing this line is y = 2x + 2
It has a positive (increasing) slope of 2 (with a y-intercept of +2).
Answer: m = 94 / 58 = 47 / 29 = 1.62069
Step-by-step explanation:
3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Learn more about inequalities here-
brainly.com/question/24372553
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Answer:
Given:You sample 160 men, and 25% own cats
You sample 120 women, and 20% own cats.
To Find : Find the test statistic, rounded to two decimal places.
Solution:
You sample 160 men, and 25% own cats.
No. of men have cats = 
= 
So, 
You sample 120 women, and 20% own cats.
No. of women have cats = 
= 
So, 
We will use Comparing Two Proportions
Let 
and 
be the probabilities of men having cat and women having cat receptively
Formula of test statistic : 
Substitute the values
test statistic : 
test statistic : 
So, test statistic is 0.986
