1/2 + r/-4 greater or equal to 5/6
Answers
Answer:
the solution to the inequality 1/2 + r/-4 ≥ 5/6 is r ≤ -4/3.
Step-by-step explanation:
To solve the inequality 1/2 + r/-4 ≥ 5/6, we need to isolate the variable r.
1. First, let's simplify the expression on the left side of the inequality:
1/2 + r/-4 can be rewritten as 1/2 - r/4.
2. Next, let's find a common denominator for 1/2 and -r/4. The common denominator is 4.
1/2 - r/4 becomes 2/4 - r/4.
3. Now, we can combine the fractions:
2/4 - r/4 = (2 - r)/4.
4. The inequality becomes:
(2 - r)/4 ≥ 5/6.
5. To eliminate the denominator, we can multiply both sides of the inequality by 4:
4 * (2 - r)/4 ≥ 4 * 5/6.
This simplifies to:
2 - r ≥ 20/6.
6. Let's further simplify the right side:
20/6 can be simplified to 10/3.
So the inequality becomes:
2 - r ≥ 10/3.
7. To isolate the variable r, we can subtract 2 from both sides of the inequality:
2 - r - 2 ≥ 10/3 - 2.
This simplifies to:
-r ≥ 4/3.
8. Finally, to solve for r, we need to multiply both sides of the inequality by -1. Since we are multiplying by a negative number, we need to reverse the direction of the inequality:
-r * (-1) ≤ (4/3) * (-1).
This simplifies to:
r ≤ -4/3.
Therefore, the solution to the inequality 1/2 + r/-4 ≥ 5/6 is r ≤ -4/3.
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Answers
Answer:
{-1, 1, 3}
Step-by-step explanation:
Given the function
y = (x + 1)/3
The domain are the input value x while the range are the output values given the input value x;
Given the domain {-4, 2, 8}
when x = -4;
y = (-4+1)/3
y = -3/3
y = -1
when x = 2;
y = (2+1)/3
y = 3/3
y = 1
when x = 8;
y = (8+1)/3
y = 9/3
y = 3
Hence the member of the range are {-1, 1, 3}
Answers
Answer:
Saturday's attendance could be : 34,612
Step-by-step explanation:
A baseball stadium holds 42,000 people.
Here '4' is at the ten thousands place.
The number for Saturday's attendance contains a 4 with a value 1/10 the value of the 4 in 42,000.
Means the '4' must be at one place less than ten thousand, that is thousand place.
Hence, out of the given options, 34612 is the only option that has '4' on thousand place.
Therefore, the answer is option B.
1/10th of 40000= 4000.
The number 34,612 the 4 is in the thousandths spot
B. k = 1/2
C. k = 5/2
D. k = 2
Thank you in advance for your help!
Answers
Answer:
Option A is correct
k = 2/5
Step-by-step explanation:
The rule of dilation with scale factor k is given by:
As per the statement:
Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm.
⇒original Length (AB)= 5 cm
and
Image length (A'B') = 2 cm
Apply the rule of dilation we have;
Substitute the given values;
Therefore, the scale factor of the dilation is, 2/5
Answers
Answer: For a rectangular shape, the area is equal to the product of th length and the width. so A = L*W
If the area is 6000
so if you want to know the width you need to solve the equation W = A/L for finding the value of W.
I think in the picture says that L = 60 yds
so W = 6000/60 = 100 yards.
W-width
A = L·W
A = 6000 yd
L = 60 yd
subtitute
60W = 6000 |divide both sides by 60
W = 100 (yd)
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for 4 hrs......4 x 4 = 16 birdhouses in 4 hrs
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Answer: 0.32 < 0.35
Think of it like saying 32 < 35. Then stick a decimal point in front of each number.