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Murrr4er [49]
3 years ago
10

Randy ran 13/4 miles on Monday and 2 2/4 miles on Tuesday. How far did Randy run on both days?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0

Answer:

The answer is 5 3/4

Step-by-step explanation:

13/4 = 3 1/4

3 1/4 + 2 2/4 = 5 3/4

Hope this helped you!

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Find the 100th and the nth term for each of the following sequences.80,140,200
Alina [70]

Answer

a(n) = 60n + 20

a(100) = 6020

Step-by-step explanation:

Given the following sequences

80, 140, 200

\begin{gathered} \text{The given sequence is }80,\text{ 140, 200} \\ \text{Step 1: find the common difference} \\ \text{common difference= next term - previous term} \\ \text{Common difference = 140 - 80} \\ \text{Common difference = 60} \\ \text{common difference = 200 - 140} \\ \text{common difference = 60} \\ \text{Hence, the common difference is 60} \\ \text{The nth term of an arithmetic progression is} \\ a(n)\text{ = a + (n - 1) x d} \\ \text{where a = first term, n = no of terms, and d = common difference} \\ a(n)\text{ = 80 + (n - 1) x 60} \\ \text{open the parenthesis} \\ a(n)\text{ = 80 + 60n - 60} \\ a(n)\text{ = 60n + 80 - 60} \\ a(n)\text{ = 60n + 20} \\  \\ \text{ Find the 100th term} \\ \text{let n = 100} \\ a(100)\text{ = 60(100) + 20} \\ a(100)\text{ = 6000 +2}0 \\ a(100)\text{ = 6020} \end{gathered}

7 0
1 year ago
Whats five and twenty-three thousandths wirten as a decimal giving brainest
exis [7]

Answer:

5.023 I believe

Step-by-step explanation:

6 0
3 years ago
A pole that is 3.5m tall casts a shadow that is 1.47m long. At the same time, a nearby tower casts a shadow that is 42.75m long.
Sonja [21]

Answer:

Therefore the height of the tower is 101.79 m.

Step-by-step explanation:

The ratio of the height of an object to the shadow of the object is always constant at certain time.

\frac{\textrm{The height of object}}{\textrm{The  shadow of the object}}= constant

\Rightarrow \frac{h_1}{s_1}=\frac{h_2}{s_2}

Given that,the length of the pole is 3.5 m and it casts a shadow that is 1.47 m long.

The length of shadow that castes by a tower is 42.75 m long.

Here h₁= 3.5 m, s₁=1.47 m, h₂= ? and s₂=42.75 m

\therefore \frac {3.5}{1.47}=\frac{h_2}{42.75}

⇒3.5 ×42.75 = h₂× 1.47

\Rightarrow h_2=\frac{3.5 \times 42.75}{1.47}

⇒h₂ = 101.79 m (approx)

Therefore the height of the tower is 101.79 m.

6 0
3 years ago
For what value of x do the functions f(x)=−52x+4 and g(x)=−12x−4 have the same output?
PSYCHO15rus [73]
- 52 x 1/5 + 4 = - 6.4
-12 x 1/5 - 4 = -6.4
The answer is 1/5
8 0
3 years ago
Linda is making a line plot of the data below.
Phantasy [73]

Answer:

Least: 10.5

Greatest: 14.125

Hope that helps!

Step-by-step explanation:

8 0
4 years ago
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