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Bogdan [553]
3 years ago
13

A table measures 76.2 centimeters in length. Write an equation to find the length of the table in inches. Solve the equation. Sh

ow your work.
(1 inch = 2.54 centimeters)
Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer:

76.2 / 2.54 = 30

Step-by-step explanation:

(Centimeters of table) / (Centimeter to inch conversion rate) = (Inches of table)

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The relationship between two numbers is described below, where x represents the first number and y represents the second number.
solmaris [256]

Answer:

See below.

Step-by-step explanation:

x^2 = y + 16

4y - 1 = 7x  

are the 2 equations. (answer)

From the second equation

4y = 7x + 1

y = 7/4 x + 1/4

Substituting in the first equation:

7/4x + 1/4 + 16 = x^2

x^2 - 7/4 x - 16 - 1/4 = 0

x^2 - 7/4 x - 16 1/4 = 0

Multiplying though by 4

4x^2 - 7x - 65 = 0

Using the ac method to solve this  4 * -65 = -260 and we need  factors of this to add up to -7. -20 and 13 look good so we write:

4x^2 - 20x + 13x - 65 = 0

Fatcor by grouping:

4x(x - 5) + 13(x - 5) = 0

(4x + 13)(x - 5) = 0

So the the roots are 5, -3.25

To find the values of y we substitute these values of x into the second equation:

x = 5:  4y - 1 = 7*542y = 36

y = 9.

x = -3.25:

4y - 1 = 7*-3.25

4y =  (7 * -3.25) + 1

y = -5.44.

So the solutions are    (5, 9) and (-3.25, -5.44)  (Answer)

7 0
3 years ago
There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop
erastova [34]

Answer:

48 people

Step-by-step explanation:

First, find how many were left after the first stop:

120(0.5)

= 60

Find how many were left after the second stop:

60(0.8)

= 48

So, since the rest got off on the third stop, this means 48 people got off on the third stop.

8 0
3 years ago
Read 2 more answers
Question 1 (1 point)
grigory [225]
The answer is no solution
4 0
3 years ago
What is the value of the letter x in this math problem? A. 1620 B. 40 C.360 D.51.4
natka813 [3]

Answer:

B. 40

Step-by-step explanation:

Given:

The given shape is nonagon.

It consist of 9 sides.

We need to find the value of exterior angle 'x'.

Solution:

Now we know that;

"The sum of the exterior angles of any polygon is 360 degrees."

Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles.

Since here there is Nonagon then there would be 9 exterior angles.

So measure of angle 'x' = \frac{360}{9} =40\°

Hence The value of 'x'  40°.

7 0
3 years ago
Simplify:<br> (-2x)4<br> The 4 is an exponent
Rama09 [41]
The answer would be 16x^4

6 0
3 years ago
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