A local bookstore finds that each day approximately 20% of their sales are nonfiction books if they sell 425 books one day how many of those books are nonfiction?

Answers

Answer 1

Answer: Steps:
1. Do a proportion
X/425= 20/100
2. Do 425 times 20 which equals 8,500
3. Do 8,500 divided by 100 which equals 85
4. Your answer is: 85

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If trigonometry is based on right triangles, how can we sensibly consider trigonometric ratios of angles greater than a right angle?
0.63 =1.00 0.634 plus what equals a dollar
78 divided by 190 steps
Please solve for x::)

Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find x, the amount of time it would take for Bethany and Colin to mow the lawn together?

Answers

The answer to this question is C

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

Which of the following is a solution for the equation 7x + 21 = 105?105
15
84
12

Answers

Answer:

x= 12

Step-by-step explanation:

Simplifying

7x + 21 = 105

Reorder the terms:

21 + 7x = 105

Solving

21 + 7x = 105

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + 7x = 105 + -21

Combine like terms: 21 + -21 = 0

0 + 7x = 105 + -21

7x = 105 + -21

Combine like terms: 105 + -21 = 84

7x = 84

Divide each side by '7'.

x = 12

Simplifying

x = 12

Answer:

Step-by-step explanatio

How many solutions does this system have? x-2y=2 y=-2+5a. infinitely many solutions
b. no solutions
c. two solutions
d. one solution

Answers

the system has one solution, x = 8, y = 3

In an equation system you'll have:

- System with more questions than equations: infinite solutions
- System with the same number of questions as equations: only one solution with as many answers as questions
- System with two or more independent and contradictory equations: zero solutions.

In this case you have two independent equations and two questions (x and y), so the answer is d, one solution.

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

This answer will get deleted...but I do not have time to post the work on this one..

m= 3/5

b=-33/5

$y= (3)/(5) x+- (33)/(5)$

Thus, your equation.

Lets first find the slope:
(y₂-y₁)=m(x₂-x₁)
(-9-(-3)) = m(-4-6)
-6 = m(-10)
Isolate m:
$(-6)/(-10)$ = $(m(-10))/(-10)$
-10 and -10 cancels out
$(-6)/(-10)$ = m
$(3)/(5)$ = m

Now we know the slope, which is $(3)/(5)$

The equations is
y = mx + c
Take any two coordinates from the given above

Im taking (6,-3)
Plug in those coordinates and the slope to the formula

-3 = $(3)/(5)$ (6) + c
-3 = $(18)/(5)$ + c
Isolate c
-3 - $(18)/(5)$ = c
$- (33)/(5)$ = c
which gives us:
-6.6 = c

Now plug in the slope and c in the equation:

y = $(3)/(5)$ x+ (-6.6)
or
y = $(3)/(5)$ x +(- $(33)/(5)$ )

I need help , please

Answers

To determine which statement is true, first find the measure of the third interior angle. You can do that by subtracting the two known interior angle measures from 180, since interior angle measures of all triangles add to equal 180 degrees.

180 - 65 - 57 = 58

The measure of the third interior angle is 58°.

Now, the largest side of triangle is opposite its largest interior angle; that means the largest side of this triangle is the side opposite the angle that measures 65° - the side representing swim distance. This is true for the middle and smallest sides as well - they're opposite the middle and smallest interior angles. The following shows the sides from largest to smallest as they correspond to angle measures from largest to smallest.

65° = swim
58° = bike
57° = run

Now to finally determine which statement is true.
Statement A is false because run distance is the smallest distance of all three distances.
Statement B is false because, as we've said, run distance is the smallest distance.
Statement C is false because swim distance is greater than bike distance.

That means that the correct answer is D - the bike distance is greater than the run distance.

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