1a) 8 / (1/2) = 16 * 3 = 48
1b) 3sqrt(49) = 3 * 7 = 21
1c) (5+2)(-8) / (-2)^3 -3
(7*-8) / (-8 -3)
-56/-11
56/11
Answer:
15x^2-3x-1
Step-by-step explanation:
All we have to do is collect like terms and calculate! Hope this helps!
Answer:
12 hours
Step-by-step explanation:
3 hours landscaping = $36
She still needs to make $224 to meet her requirement.
$224 divided by $19 tutoring = 11.79 hours
224÷19=11.79
Rounded to the nearest whole number: 12
This would mean Makayla worked a total of 15 hours and made $264. Which meets her requirements.
The question seems incomplete, as the length of the hour hand isn't given ;
If the tip of the hour hand is taken as 30mm
Answer:
534.1 mm
Step-by-step explanation:
In 2 hours ; cycle performed :
2/ 12
Circumference of a circle = 2 * pi *r
Circumference = 2 * pi * 30 = 60pi
Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi
The minute hand travels 2 comply cycle in 2 hours
150% taller than short hand :
1.5 * 30 = 45 mm
Distance traveled : 2 (2 * pi * 45) = 180pi
(180pi - 10pi) = 170pi
170π = 534.07075
= 534.1 mm
Answer:
YES
Step-by-step explanation:
Find the equation of the line written as, y = kx. The graph shows a proportional relationship between y and x.
Constant of proportionality/unit rate/slope (k) = rise/run = ⁵/4.
Substitute ⁵/4 in y = kx
We would have:
y = ⁵/4x.
Using the equation of the line, we can know if a given point is on the line by plugging the value of x and y coordinates of the point into the equation. If it makes the equation true, then it is a point on the line. If it doesn't make the equation true, then it isn't a point on the line.
Let's plug in (16, 20) into y = ⁵/4x.
Thus substitute x = 16 and y = 20, we have:
[tex] 20 = \frac{5}{4}(16) [/trex]
[tex] 20 = (5)(4) [/trex]
[tex] 20 = 20 [/trex]
It makes the equation true. Therefore, the point, (16, 20) is a point on line l.
