Answer:
Step-by-step explanation:
The correct question is
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read.
Let y represent the number of pages left to read after x hours.
Complete the equation for the relationship between the number of pages left and number of hours.
Let
x -----> the time in hours
y ----> the number of pages left to read
we know that
The linear equation in point-slope form is equal to
In this problem we have
----> is negative because the linear function is decreasing
substitute
Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
Answer:
1. 26:5 or
or
5.2 as a decimal
2. 21:26 or
or
0.81 as a decimal
3. 21:5 or
or
4.2 as a decimal
4. 5:21 or
or
0.24 as a decimal
Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or or 0.81. We can also compare the number of vowels which is 5:26 or
A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.
21:5 or
or
4.2 as a decimal.
We can reverse and write vowels : consonants.
5:21 or
or
0.24 as a decimal.
Answer:
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
Step-by-step explanation:
The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
1 from a set of 2(Either Mrs. Vera or Mr. Jan).
3 from a set of 18 - 2 = 16. So
1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.
