Answer:
5x - 4 = 11
Step-by-step explanation:
4 less than 5 times a number equals 11
5 times a number minus 4 equals 11
(5*x) - 4 = 11
I hope this helps!!!
Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
Relatively prime means there are no number greater than 1 that divides them both.
Find the GCF for each set:
A. 68 and 119
68: 1 , 2, 4, 17, 34,68
119: 1, 7, 17
Both numbers can be divided by 1 or 17 so are not relative.
B.
40 and 395
are both divisible by 1 and 5 so are not relative.
C. 119 and 715
Are both only divisible by 1, so are relative.
D. 63 and 56
Are divisible by both 1 and 7 so are not relative.
The answer is C. 119 and 715
Answer:
50
Step-by-step explanation:
The figure represents a 30-60-90 special triangle
in this special right triangle the measure of sides lengths is represented by
a, a
, and 2a
The side length that sees angle measure 30 is represented by a and here we see a = 50m
The height of the building, which sees angle measure 60, is equal to
50
he initial number of trees was 204.
<h3>How to find the initial number of trees?</h3>
The first step to finding the initial number of trees is to write an equation that represents the situation.
- T is equal to the initial number of trees.
- 5 trees were removed = t - 5
- Each tree produces 210 oranges = (t-5) (210)
- The total of oranges is 41,780 = (t-5) (210)= 41,780
- (t-5) (210)= 41,780
- t-5= 41,780 / 210
- t-5 = 198.95
- t = 198.95 + 5
- t = 203.9
This number can be rounded as 204.
Note: This question is incomplete; here is the missing section:
Find the initial number of trees.
Learn more about equation in: brainly.com/question/2263981