Answer:
T ≥ -2
Step-by-step explanation:
Given
Temperature = 2° below 0°
Required
Represent as an inequality
First, we need to calculate the temperature in the morning.
2° below 0 means.
Temperature = 0° - 2°
Temperature = -2°
Next, we determine the temperature at any time.
The question says the temperature continues to rise during the day.
Represent this with T
This means T will be greater than -2°
However, we need to consider where the temperature started from.
In other words, T = -2
Combine T = -2 and T = -2 together, we have:.
T ≥ -2
Hence, the inequality that represents the scenario is T ≥ -2
Answer:
5
Step-by-step explanation:
The nth term of a geometric series is:
a_n = a₁ (r)^(n-1)
where a₁ is the first term and r is the common ratio.
Here, we have:
40 = a₁ (r)^(4-1)
160 = a₁ (r)^(6-1)
40 = a₁ (r)^3
160 = a₁ (r)^5
If we divide the two equations:
4 = r^2
r = 2
Now substitute into either equation to find a₁:
40 = a₁ (2)^3
40 = 8 a₁
a₁ = 5
Answer:
The solution is ( 1/2 , 5)
Step-by-step explanation:
∵ 8x + 7y = 39 ⇒ (1)
∵ 4x - 14y = -68 ⇒ (2)
Multiply (1) by 2
16x + 14y = 78 ⇒ (3)
Add (2) and (3)
∴ 20x = 10 ⇒ x = 10 ÷ 20 = 1/2
∴ x = 1/2
By substitute in (1)
8(1/2) + 7y = 39 ⇒ 7y = 39 - 4 = 35 ⇒ y = 35 ÷ 7 = 5
∴ y = 5
∴ The solution is ( 1/2 , 5)
To check:
8(1/2) + 7(5) = 4 + 35 = 39 = R.H.S
4(1/2) - 14(5) = 2 - 70 = -68 = R.H.S
46 x 0.05, since 5% = 0.05 (5 / 100 = 0.05)
46 x 0.05 = 2.3
<span>7/12 is 58.33% </span>
<span>How do we change fractions to percents? </span>
<span>The steps are too simple. </span>
<span>First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction). </span>
<span>In the case above, 7 is the numerator and 12 is the denominator. </span>
<span>So, 7 ÷ 12 = 0.58333 </span>
<span>Then, multiply the result by 100. 0.5833 x 100= 58.33 </span>
<span>Finally, add the percent (%) sign to the result. </span>
<span>Therefore, 7/12 is 58.33%. <span> </span></span>
<span>The sum of two numbers is 37. five times the smaller number exceeds four times the larger number by five. find the numbers.
x+y=37
5x=4y+5
x+(4y+5)/5=37
x=20 and y=17
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