Answer:
Facing Right
Step-by-step explanation:
Given inequalities are:
4-x≤-1
Subtracting 4 from both sides
4-x-4≤-1-4
-x≤-5
Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality
So,
x≥5
Second Inequality:
2+3x≥17
Subtracting 2 from both sides
2+3x-2≥17-2
3x≥15
Dividing both sides by 3
x≥5
Union of both solutions:
x≥5 ∩ x≥5
=> x≥5
Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..
Answer:
D 36 ML of red wax mixed with 15 ML of white wax AND
E 60 ML of red wax mixed with 25 ML of white wax
Step-by-step explanation:
just listen to me im big brain
Answer:
6 times.
Explanation:
Since she served 3 salads that contain 2/3 cup of blueberries each, and her measuring cup only holds 1/3 cup, she'll have to measure the blueberries 6 times in total, doing 2 measurements per salad (2 x 1/3 = 2/3). Since 2 x 1/3 cup is 2/3 cup, and there are 3 salads in total (multiply 2 measurements by 3 salads), this means she measures the blueberries 6 times.
Answer:
78 Words per minute
Step-by-step explanation:
A unit rate is simply comparable to an average. Given this, we can say the following:
Unit_Rate = 3666 Words / 47 minutes
Unit_Rate = 78 Words per minute
Cheers.
Answer:
The angle the wire now subtends at the center of the new circle is approximately 145.7°
Step-by-step explanation:
The radius of the arc formed by the piece of wire = 15 cm
The angle subtended at the center of the circle by the arc, θ = 68°
The radius of the circle to which the piece of wire is reshaped to = 7 cm
Let 'L' represent the length of the wire
By proportionality, we have;
L = (θ/360) × 2 × π × r
L = (68/360) × 2 × π × 15 cm = π × 17/3 = (17/3)·π cm
Similarly, when the wire is reshaped to form an arc of the circle with a radius of 7 cm, we have;
L = (θ₂/360) × 2 × π × r₂
∴ θ₂ = L × 360/(2 × π × r₂)
Where;
θ₂ = The angle the wire now subtends at the center of the new circle with radius r₂ = 7 cm
π = 22/7
Which gives;
θ₂ = (17/3 cm) × (22/7) × 360/(2 × (22/7) × 7 cm) ≈ 145.7°.
