Writing some equations out might help!
1) You know that a is 4/5 of b. This can be written as:
.
To find what b is equal to, multiply both sides by 5/4:
.
A is 5/4 B.
2) You know that a is 1/5 smaller than b. This can be written as:
.
To find b, just add 1/5 to both sides:
.
B is 1/5 bigger than a.
1.1, 1.3, 1.5. Your just adding .2 to the number each time
Answer:
11.5 years
Step-by-step explanation:
Given data
Principal= $400
Rate= 6%
For the compound interest at time t, the expression is given as
A= P(1+r)^t
Substitute
A= 400(1+0.06)^t
A=400(1.06)^t
B. How much money is in Jennifer's account after 5 years
put t= 5
A=400(1.06)^5
A=400*1.338
A=$535.2
C. Approximately when will Jennifer have $800 in her account
A=$800
P=$400
r=6%
t= ln(A/P)/r
t= ln(800/400)/0.06
t= ln(2)/0.06
t= 0.6931/0.06
t=11.551
Hence the time is about 11.5 years
Answer:
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>
<u>Our system of equations:</u>
<u>x + y = 12</u>
<u>7x + 12y = 104</u>
Correct statement and question:
Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.
Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.
Source:
Previous question that can be found at brainly
Step-by-step explanation:
Step 1:
Let x to represent the number of matinee shows Alejandro went to.
Let y to represent the number of evening shows Alejandro went to.
Now, let's write our system of equations:
x + y = 12
7x + 12y = 104
*********************
x = 12 - y
*********************
7 (12 - y) + 12y = 104
84 - 7y + 12y = 104
5y = 104 - 84
5y = 20
y = 20/5
<u>y = 4 ⇒ x = 12 - 4 = 8</u>
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>
The statement that we can make that must be true about the sides of ΔDEF is: EF > DE > DF.
<h3>Triangle Sides and angles Relationship</h3>
- The length of the three sides of a triangle is relative to the measure of the size of the angle opposite to each of he sides.
- That is, the longest side will be directly opposite the largest angle and vice versa.
Thus, the statements about the sides of ΔDEF are missing, however, we can make the following deductions:
- m∠D = 103° is opposite to the longest side EF.
- m∠F = 63° (180 - 103 - 14) is opposite to the medium side DE
- m∠E = 14° is opposite to the shortest side DF.
Therefore, the statement that we can make that must be true about the sides of ΔDEF is: EF > DE > DF.
Learn more about the relationship between sides and angles of a triangle on:
brainly.com/question/10695554
