There are 16 red counters there.
<h3>Fractions and proportions</h3>
If one-quarter of the counters in a tub are red and the rest are green, then there are three-quarter of the counter in the tub.
Let the total counter be x such that
3/4x = 48
3x = 4 * 48
x = 4 * 16
x = 64
Determine the amount of red counter
Red counter = 64 - 48
Red counter = 16
Hence there are 16 red counters there.
Learn more on proportion here; brainly.com/question/1496357
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Answer:

Step-by-step explanation:
35r-21 < -35r+19
⇌ 35r + 35r < 19 + 21
⇌ 70r < 40
⇌ r < 40/70
⇌ r < 4/7
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Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and ∠ 7 are alternate angles and are congruent, thus
4x - 15 = x + 30 ( subtract x from both sides )
3x - 15 = 30 ( add 15 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Thus
∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°
Step-by-step explanation:
given points,
(-2, -1) and (4,3)
we know,
slope of line = y_2 - y_1/ x_2 - x_1
x_1 and y_1 = -2 , -1
x_2 and y_2 = 4 , 3
according to the formula
3 - (-1)/4 - (-2)
→ 3 + 1/4 + 2
→ 4/6
→ 2/3
or (2,3)
therefore, slope of the given line is (2,3).
Hope this answer helps you dear!
Answer:
y =-2x+8
Step-by-step explanation:
We have a point and a slope
(5,-2) and m =-2
The slope intercept form of a line is
y = mx+b
y = -2x+b
Substitute in the point
-2 = -2(5)+b
-2 = -10+b
Add 10 to each side
-2+ 10 = -10+10 +b
8 = b
The equation is
y =-2x+8