Answer:
He invested 3,000 at 7% and 4,000 at 9%.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=7,000 (1)
0.07x+0.09y=570 (2)
You can solve for x in (1)
x=7,000-y (3)
Now, you can replace (3) in (1) and solve for "y":
0.07(7,000-y)+0.09y=570
490-0.07y+0.09y=570
0.02y=80
y=80/0.02
y=4,000
Finally, you can replace the value of "y" in (3):
x=7,000-4,000
x=3,000
According to this, the answer is that he invested 3,000 at 7% and 4,000 at 9%.
Answer:
Option B.
Step-by-step explanation:
Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).
We need to find the measure of ∠JHN.
(Vertical opposite angles)
Substitute the given values.
The value of x is 25. So, the measure of ∠JHN is
The measure of ∠JHN is 45°.
Therefore, the correct option is B.
Inequality:
5x - 3 ≤ 28
Answer:
5x - 3 <span>≤ 28
5x </span><span>≤ 31
x </span><span>≤ 31/5 or 6.2 ($6.20)</span>
Caleb draws 14 dogs on each of 4 posters.
Then,
Number of dogs drawn by caleb in the first instance = (14 * 4) dogs
= 56 dogs
Celeb drew 18 cats on each of 6 other posters.
Then
Number of cats drawn by Caleb in the first instance = (18 * 6) cats
= 108 cats
Again Caleb draws 5 more dogs on each poster with dogs.
Then,
The number of Dogs drwn in the second instance = (5 * 4) dogs
= 20 dogs
So, the total number of dogs drawn by Caleb = ( 56 + 20) dogs
= 76 dogs
Then the total number of cats and dogs drawn by Caleb = 108 + 76
= 184
Answer: 2nd answer
Step-by-step explanation:
Kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections.
