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Amiraneli [1.4K]
3 years ago
14

What is five less than a number is greater than twenty​

Mathematics
2 answers:
Mashutka [201]3 years ago
8 0

Answer:

X = -5

Step-by-step explanation:

densk [106]3 years ago
3 0

Answer:

x-5>20

Step-by-step explanation:

Well, the number is your variable, x, because you dont know what the value of it is.Five less means thats you are subtracting 5. And it is greater so it is > than 20.

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)Which statement best describes the area of the triangle shown below?
nasty-shy [4]

9514 1404 393

Answer:

  (b)  It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.

3 0
2 years ago
On Saturday, Alan traveled North along minor roads averaging 36 mph to visit a friend. On Sunday, he traveled East along main ro
Dvinal [7]

Answer: the trip (one-way) that Alan made on Saturday was 63 miles.

Step-by-step explanation:

Let x represent the distance of the trip that Alan made on Saturday.

Let t represent the time that it took Alan to make the trip on Saturday.

On Saturday, Alan traveled North along minor roads averaging 36 mph to visit a friend.

Distance = speed × time.

Therefore, distance travelled on Saturday would be

x = 36 × t = 36t

On Sunday, he traveled East along main roads averaging 60 mph to visit his mother. The trip to visit his mother was 24 miles longer and took 18 minutes(18/60 = 0.3 hours) less. This means that the distance travelled would be

x + 24 and the time spent would be t - 0.3 hours.

Distance travelled on Sunday would be

x + 24 = 60(t - 0.3)

x + 24 = 60t - 18 - - - - - - -- - - 1

Substituting x = 36t into equation 1, it becomes

36t + 24 = 60t - 18

60t - 36t = 24 + 18

24t = 42

t = 42/24 = 1.75

x = 36t = 36 × 1.75

x = 63 miles

4 0
3 years ago
What is the sum of the angle measures of 24 - gon
Wewaii [24]

\bf \textit{sum of all \underline{interior angles} in a polygon}\\\\ S=180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \cline{1-1} n=24 \end{cases}\implies \begin{array}{llll} S=180(24-2)\\\\ S=3960 \end{array}

4 0
3 years ago
In the ocean, a whale is swimming at an elevation of −30 feet. A ray is swimming at an elevation of −12 feet. What is the differ
Elza [17]

Answer:

  18 feet

Step-by-step explanation:

The difference in elevations is ...

  -12 -(-30) = -12 +30 = 30 -12 = 18 . . . feet

The ray is 18 feet above the whale.

5 0
2 years ago
Read 2 more answers
When a cold drink is taken from a refrigerator, its temperature is 5 degrees C. After 25 minutes in a 20 degrees C room its temp
Leto [7]
Using Newton's Law of Cooling, \dfrac{dT}{dt} = k(T-T_s), we have \dfrac{dT}{dt} = k(T - 20) (T_s is 20 degrees). Letting y = T - 20, we get \dfrac{dy}{dt} = ky, so y(t) = y(0)e^{kt}. y(0) = T(0) - 20 = 5-20 = -15, so y(25) = y(0) e^{25k} = -15e^{25k}, and y(25) = T(25) - 20 = 10 - 20 = -10 so -15e^{25k} = -10 \ \  \Rightarrow \ \ e^{25k} = \frac{2}{3}. Thus, 25k = \ln\left(\frac{2}{3}\right) and k = \frac{1}{25} \ln\left(\frac{2}{3}\right), so y(t) = y(0)e^{kt} = -15e^{(1/25)\ln(2/3)t}. More simply,
e^{25k} = \frac{2}{3} \ \ \Rightarrow \ \  e^k = \left( \frac{2}{3} \right)^{1/25}\\ \Rightarrow \ \  e^{kt} = \left( \frac{2}{3} \right)^{t/25}\\
\Rightarrow y(t) = -15 \cdot \left( \frac{2}{3}\right)^{t/25}

(a) T(50) = 20 + y(50) = 20-15  \cdot \left( \frac{2}{3}\right)^{50/25} =
20 - 15 \cdot\left(\frac{2}{3}\right)^2 = 20 - \frac{20}{3} = 13.\overline{3}{}^{\circ}C

13.33333 °C

(b) 15 = T(t) = 20 + y(t) = 20 - 15\cdot\left( \frac{2}{3} \right)^{t/15}
\Rightarrow 15 \cdot \left(\frac{2}{3}\right)^{t/25} = 5 \Rightarrow \left( \frac{2}{3} \right)^{t/25} = \frac{1}{3}  \Rightarrow
(t/25) \ln\left( \frac{2}{3}\right) = \ln\left( \frac{1}{3}\right) \rightarrow t = 25 \ln\left( \frac{1}{3}\right)  /  \ln\left( \frac{2}{3}\right) \approx 67.74\text{ min}

67.74 min
4 0
3 years ago
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