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2 years ago

Translate the following from words to an algebraic expression or equation,

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

5 0

Answer:

a. n+5

b. n+ 7

c. 1\2(n×2n)

d. n +n+1 n+2

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31.8 miles/hr= ? Feet/sec

PSYCHO15rus [73]

1 mi = 5280 ft
1 h = 3600 s

therefore:

$31.8\ \dfrac{mi}{h}=31.8\cdot\dfrac{5280}{3600}\ \dfrac{ft}{s}=46.64\ \dfrac{ft}{s}$

Answer: 31.8 mi/h = 46.64 ft/s

6 0

3 years ago

What’s the lowest term for 10/16

Naddika [18.5K]

Answer:

Step-by-step explanation:

Divide each term of the fraction by <u>2</u>.

10 / 2 = 5

---------------------

16 / 2 = 8

It cannot be simplified lower than 5/8.

Therefore, 5/8 is your answer

Best of luck to you.

4 0

3 years ago

Three houses are mapped on a coordinate grid.

Licemer1 [7]

Step-by-step explanation:

Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).

\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}

=(4;4)−(4;−3)=

(0;7)

\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}

=(−5;−4)−(4;−3)=

(−9;−1)

cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=

∣

∣∗∣

∣

∗

cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;

a = 96,34°

Solution: 96 degrees.

6 0

3 years ago

A restaurant menu has five kinds of soups, seven kinds of main courses, six kinds of desserts, and five kinds of drinks. If a cu

ryzh [129]

Answer: 1050

Step-by-step explanation:

Number of combinations of selecting r things out of n = $^nC_r=\dfrac{n!}{r!(n-r)!}$

such that $^nC_1=n$

Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.

If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = $^5C_1\times \ ^7C_1\times\ ^6C_1\times\ ^5C_1 =5\times7\times6\times5=1050$

hence, total number of outcomes = 1050

3 0

3 years ago

Read 2 more answers

I NEED HELP ON THIS PLEASE!!

mr_godi [17]

Answer:

a and d

Step-by-step explanation:

5 0

4 years ago