Let x be the number of students that like both algebra and geometry. Then:
1. 45-x is the number of students that like only algebra;
2. 53-x is the number of students that like only geometry.
You know that 6 students do not like any subject at all and there are 75 students in total. If you add the number of students that like both subjects, the number of students that like only one subject and the number of students that do not like any subject, you get 75. Therefore,
x+45-x+53-x+6=75.
Solve this equation:
104-x=75,
x=104-75,
x=29.
You get that:
- 29 students like both subjects;
- 45-29=16 students like only algebra;
- 53-29=24 students like only geometry;
- 24+6=30 students do not like algebra;
- 16+6=22 students do not like geometry.
The correct choice is D.
Answer:
<u>4(7 + 6)</u>
Step-by-step explanation:
The GCF (greatest common factor) is the largest factor that both numbers share, and in this case it is 4.
29°
triangles can only have 180°
This is a right triangle, so one angle is 90°, leaving us with 90° left
90°-61°= 29°
Answer:
7x² - 3x - 4
Step-by-step explanation:
<u>Step 1: Write expression</u>
(6x² - x + 3) + (-2x + x² - 7)
<u>Step 2: Combine like terms (x²)</u>
7x² - x + 3 - 2x - 7
<u>Step 3: Combine like terms (x)</u>
7x² - 3x + 3 - 7
<u>Step 4: Combine like terms (constants)</u>
7x² - 3x - 4
Percent means per 100
set up
1) 6/14 = x/100 solve for x,
2) 8/15 = x/100 solve for x
x is the amount out of 100 = the percent you got on the test