Given:
Tom's earnings: x
Jan's earnings: 2x - 150
Total earnings: 1380
x + 2x - 150 = 1380
3x = 1380 + 150
3x = 1530
3x/3 = 1530/3
x = 510
Tom's earnings: x = 510
Jan's earnings: 2x - 150 = 2(510) - 150 = 1,020 - 150 = 870
total earnings: 1,380
510 + 870 = 1,380
1,380 = 1,380
Answer: What is the distance formula is that it's the formula used in Mathematics such as Pre-Algebra, Algebra 1, Geometry, Algebra 2, Trigonometry, and Pre-Calculus, also Calculus to help you find the distance between 2 points in a coordinate plane or the length of a segment. How you do the distance formula is you subtract the 2nd x coordinate by the 1st one, next you add the 2nd y coordinate to the 1st one, then the answer you get you evaluate them using the exponent of 2, lastly you add that answer and square root the answer you get to the approximate or closest decimal or whole number.
Answer:
14.4 years (about 14 years 6 months)
Step-by-step explanation:
Given data
Principal= $3000
Rate= 4.8%
A. Time= 5 years
The expression for compound interest is
A=P(1+r)^t
Substitute
A= 3000(1+0.048)^5
A= 3000(1.048)^5
A=3000*1.264
A=$3792
Hence the balance will be $3792
B. Final Amount A = $6000
The expression to find time is given ast
t= ln(A/P) / r
substitute
t= ln(6000/3000)/0.048
t= ln2/0.048
t= 0.6931/0.048
t=14.43
Hence the time is 14.4 years (about 14 years 6 months)approx
Answer: 242 students do not like football or baseball
Step-by-step explanation:
The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.
If 45 students like both sports, then the number of students that like football only would be
115 - 45 = 70
Also, the number of students that like baseball only would be
100 - 45 = 55
The number if students that like at least one of the sports is
70 + 55 + 45 = 170
Therefore, the number of students that do not like football or baseball would be
412 - 170 = 242
Answer:
x = 22
Step-by-step explanation:
triangle = 180 degrees
2x + 12 + x + 54 + 3x - 18 = 180 degrees
combine like terms
6x + 12 + 54 - 18 = 180
6x + 48 = 180
<u> -48 -48</u>
6x = 132
divide by 6
x = 22
<em><u>Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!</u></em>
<em><u>-Lil G</u></em>
