Answer:
7. 5 
pizza
8. B
9. 11 
inches
10. -12
11. 
12. 4
Step-by-step explanation:
7. 3 
+ 2 
make them mixed fractions: 
+ 
get a common denominator by multiplying by 4: 
+
add the numerators: 
simplify the fraction by dividing 45 by 8: 5
8. 3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 = 54
therefore, y = 6x
9. 5:7 is similar to 8:L
divide 8 by 5: 1 
multiply 7 by 1 : 11
L = 11 inches
10. 5 - 2x = 29
subtract 5 from each side: -2x = 24
divide each side by -2: x = -12
11. fruit = 15%
15% = 15/100
simplify by dividing by 5:
12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.
Answer:
31
Step-by-step explanation:
Because these two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:
3x+2+2x+23=180
5x+25=180
5x=155
x=31
Hope this helps!
Answer: The boat moved 768.51 feet in that time .
Step-by-step explanation:
Since we have given that
Height of the lighthouse = 1000 feet
Angle depression to boat 'a' = 29°
Angle of depression to shore 'b' = 44°
Consider ΔABC,
Now, Consider, ΔABD,
We need to find the distance that the boat moved in that time i.e. BC
so,
Hence, the boat moved 768.51 feet in that time .
How to find the mixed number to a fraction:
Let's take 3/2 for instance.
1) You will see how many times the denominator (bottom number) goes into the numerator (top number) in this case that is one time.
2) You will place that number (1) off to the side like so --> 1
3) Then you will see how many parts are left, in this case that is 1 and place that number over the original denominator like so: 1/2
4) Finally you will just combine to get your answer- 1 1/2
Hope I helped,
-CSX :)
