Which expression calculates the time in hours an object takes to travel 38 miles at a speed of 2 m/hm/h ?

Gia got some books from Library yesterday she got five books today Gia returned three books Gia has six books how many books did

makvit [3.9K]

Answer: 4

Explanation:

You can write an algebraic expression to represent the sequence with the books in this way:

yesterday she got five books: 5
today returned three books: - 3
how many books did Gia have to begin: n
At the end she has six books, which means that you can set an equality:

n + 5 - 3 = 6

Now you follow these steps to clear the unknown:

do the operations in the left side: n + 2 = 6
use subtraction property of equality: n = 6 - 2
do the operations: n = 4

And that is the number of books whith which Gina started: 4

6 0

3 years ago

An irrational number between 5 and 7

zhenek [66]

One irrational number between 5 and 7 is $\sqrt{37}$ .

7 0

3 years ago

Determine whether the following is a statistical question.

-BARSIC- [3]

Answer:

Yes, the given question is a statistical question.

Step-by-step explanation:

Given: statement is "What is the typical height of dog kennels at Keita's Kennels?"

To check: whether the given statement is a statistical question

Solution:

A statistical question is one for which you will generally get more than one answer.

For example "What's the age of the students in your school?" is a statistical question but "What's your age?" is not a statistical question.

The given statement "What is the typical height of dog kennels at Keita's Kennels?" has a single answer only, so the given question is statistical

7 0

3 years ago

Find the minimum value of the parabola y = x2 − 4x − 5 .

enot [183]

Answer:

-2x-5

Step-by-step explanation:

8 0

3 years ago

Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

6 0

3 years ago