Amount of money spent per day = $1800
Cost of overhead expenses per day for labor and materials = $9
Selling price of each camera = $18
a. Let us assume the number of cameras manufactured per day = x dollars
Then
Cost of cameras sold in 1 day = 18x
So
18x = 1800 + 9x
18x - 9x = 1800
9x = 1800
x = 200
From the above deduction, we can conclude that the number cameras sold per day is 200
b. Daily selling amount of 250 cameras = 250 * 18
= 4500 dollars
Daily manufacturing price of 250 cameras = 1800 + (9 * 250)
= 4050 dollars
Then
Daily profit = 4500 - 4050
= 450 dollars
What is the solution to the equation 3(2x+5) = 3х+4x?
[tex]3(2x+5) = 3x+4x\\6x+15=7x\\x=15[/tex]
Answer:
x = 15
Step-by-step explanation:
Given
3(2x + 5) = 3x + 4x ← collect like terms
3(2x + 5) = 7x ← distribute parenthesis on left side by 3
6x + 15 = 7x ( subtract 6x from both sides )
15 = x ⇒ x = 15
Write the simplified form of -64^1/3
Answer:
-4
Step-by-step explanation:
Factor by the numbers from left to right.
[tex]64^\frac{1}{3}[/tex]
[tex]64=4^3[/tex]
[tex](\frac{4}{3})^\frac{1}{3}=4^3^*^\frac{1}{3}=4[/tex]
It changes to positive to negative.
-4
-4 is the correct answer.
Ida is walking dogs to help pay for sports equipment. She gets paid $10 for every dog walked and made a total of $70 on Saturday. Write an equation to show how many dogs Ida walked Saturday.
A.10x = 70
B.10 − x = 70
C.70x = 10
D.70 − x = 10
The equation to show how many dogs Ida walked Saturday is A.10x = 70
System of linear equationsA system of linear equations exists usually a set of two linear equations with two variables.
A linear equation only includes one or two variables. No variable in a linear equation exists raised to a power greater than 1 or utilized as the denominator of a fraction. When you discover pairs of values that create a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
Given,
Ida gets paid $10 for every dog walked and made a total of $70 on Saturday.
It will be A. She earned 10 dollars per hour 10x= 70.
Hence, the correct answer is option A. 10x = 70
To learn more about the System of linear equations refer to:
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#SPJ2
20 points Please HELP!
Answer:
$409.86
Step-by-step explanation:
230 is the before markup
We must apply the markup (or even discount) before the tax is applied.
Marked up 65% means we must do .65(230) <---This will tell us how much more the tent is going to sell for
.65(230)=149.5
So we started with 230 and it is going up by 149.5, so the new price before tax is 230+149.5=379.5
Now the tax is applied to what you are paying (before tax).
So 8% of 379.5 is .08(379.5)=30.36
So new price + tax is the total cost
379.5 +30.36
=409.86
Shontel has a job as a barista at a local coffee shop that pays $12 per hour. She works between 15 and 25
hours every week. Her salary can be modeled by the equation s = 12.5h, where s is her weekly salary and h
is the number of hours she worked in a week
A. Describe the independent variable for this problem.
B. Describe the domain and range for this problem using appropriate notation.
C. What does each value in the ordered pair (11, 137.5) represent in the context of this problem.
What is the graph of the absolute value equation ? y=|x|-5
Seven more than the product of a number and 8 equals 2
Use the variable w for the unknown number
Answer: w • 8 + 7 = 2
Step-by-step explanation:
Just translate the words into numbers. Product is multiplication and seven more means add.
Answer:
Equation:
(W * 8) + 7 = 2
W = - 0.625
Step-by-step explanation:
8W = - 5
W = - 0.625
Solve the following quadratic equation using the quadratic formula.
5x^2 − 8x + 5 = 0
Write the solutions in the following form, where r, s, and t are integers, and the fractions are in simplest form.
x = r − si/t,x = r + si/t
Answer:
Step-by-step explanation:
5x² − 8x + 5 = 0
delta = b²- 4ac a =5 and b = - 8 and c=5
delta = (-8)²- 4(5)(5) = 64 - 100 = -36 = (6i)² . i² = -1
x1 = (8-6i)/10 =(4-3i)/5
x2 = (8+6i)/10 =(4+3i)/5
so r=4 and s=3 and t= 5
Answer:
Step-by-step explanation:
a = 5; b = -8; c = 5
b² -4ac = (-8)² - 4 * 5 * 5 = 64 - 100 = (-36) < 0
x = -b ± √(4ac - b²) i / 2a
= - (-8) ±√ 4 * 5 * 5 - (-8)² i / 2 *5
= 8 ± √36 i
10
= 8 ± 6 i
10
= 2 (4 ± 3i) = 4 ± 3i
10 5
= 4 ± 3i
5 5
x = 4/5 + 3i/5 ; x = 4/5 - 3i/5
In the equation 5 - 10m = 3m 2, the value of b is:
I think you mean the value of 'm' not 'b' as there is no 'b' variable given in the equation.
Assuming you meant 'm' then,
5 - 10m = 3m
+ 10m + 10m
5 = 13m
/13 /13
0.384615385 = m
Answer:
It is 10. I know you are trying to apply it with the quadratic formula.
Step-by-step explanation:
Can you please answer without guessing fast and explain thank you so much
Answer:
2nd and 3rd options are correct
Step-by-step explanation:
Option 1 is wrong because there are obviously 13 scores
Option 2 is correct (quite obvious, just count the number of scores larger than 75)
Option 3 is correct. The method to find the median is to arrange all the numbers in ascending value (this is already done for you), and then locating the middle number. This happens to be 82.
Option 4 is wrong because the only 2 scores between 90 and 100 are 93 and 99
Option 5 is not necessarily true. The max score could be 99? or 102?, or 150? we just don't know. Hence this does not apply.
What is the area of a triangle with a base of 5 units and a height of 15 units?
A. 75 sq. units
B. 37.5 sq. units
C. 18.75 sq. units
D. 150 sq. units
Answer:
B. 37.5 sq. units
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 (5 * 15)
A =37.5 units^2
Answer:375 units
Hope this helps
On a piece of paper, draw a box plot to represent the data. Then determine
which answer choice matches the box plot you drew.
12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41
The answer choice that matches the box plot you draw would be B.
A box plot can be used to represent the distribution of a data set using the five-number summary. The five-number summary include the following:
Minimum First quartile (Q1)MedianThird Quartile (Q3)MaximumTo plot a box plot for the given data, we need to determine the value of each of the five-number summary of the data set.
Given:
12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41
The minimum: Lowest data value in the data set is the minimum = 12
The maximum: Highest data value = 41
Median: The middle data value (the 6th data point) = 30
First Quartile: The middle value of the first part of the data set before the median (the 3rd data point) = 17
Third Quartile: The middle value of the second part of the data set after the median (the 9th data point) = 38
Next is to plot the five-number summary on a box plot.
Min value, 12, is displayed and represented by the whisker you have at your far left.
Max value, 41, is displayed and represented by the whisker you have at your far right.
Median value, 30, is displayed and represented by the vertical line that divides the rectangular box into two you.
Q1 value, 17, is displayed and represented at the beginning of the rectangular box.
Q3 value, 38, is displayed and represented at the end of the rectangular box.
The box plot of the given data when drawn would match the following as shown in the attachment below.
Therefore, the answer choice that matches the box plot drawn is B.
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find the difference
15 - (-15)
Answer:
30
Step-by-step explanation:
Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:
A positive sign & A positive sign = Positive number.
A positive sign & A negative sign = Negative number.
A negative sign & A negative sign = Positive number.
In this case:
- (-15) = + 15
Simplify. Combine like terms:
15 + 15 = 30
30 is your answer.
~
What makes a trapezoid an isosceles trapezoid?
Answer:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. ... A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid. This conjecture tells us that the base angles of an isosceles trapezoid are equal in measure
Step-by-step explanation:
Answer:
A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.
The following shape is made by cutting an equilateral triangle from a rectangle. Find its perimeter.
Answer:
47.6 cm
Step-by-step explanation:
Since the triangle is equilateral then the 2 inclined sides = 7.2 cm
Perimeter is then the sum of the 5 sides
P = 13 + 7.2 + 13 + 7.2 + 7.2 = 47.6 cm
Answer:
47.6 cm
Step-by-step explanation:
Ifn || m, find the value of x and the value of y.
A. y = 3.75 x = 11.25
B. y=4,x = 11
c. y = 5, x = 10
D. not enough information to determine
at the boot anewer from the choices provided
Answer: Option C
[tex]y=5[/tex], [tex]x=10[/tex]
Step-by-step explanation:
If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.
By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a', b', c' then:
[tex]\frac{a}{a'}=\frac{b}{b'} =\frac{c}{c'}[/tex]
In this case
[tex]a = 12\\a' = 4\\c = 15\\c' = y[/tex]
So:
[tex]\frac{12}{4}=\frac{15}{y}[/tex]
Now solve the equation for the variable y
[tex]3=\frac{15}{y}[/tex]
[tex]y=\frac{15}{3}[/tex]
[tex]y=5[/tex]
We know that
[tex]x+y=15[/tex] and [tex]y=5[/tex]
Then
[tex]x+5=15[/tex]
[tex]x=10[/tex]
Finally the answer is:
[tex]y=5[/tex], [tex]x=10[/tex]
Which of the following statements are true of 13 and -13? Select all that apply.
They are opposites.
Their sum is 0.
They are the same distance from zero on the number line.
They are equivalent.
A positive number and a negative number with the same digits are opposite.
13 + -13 = 13 -13 = 0
13 to 0 is 13 units, -13 to 0 is also 13 units.
The answers are:
They are opposites.
Their sum is 0.
They are the same distance from zero on the number line.
Answer:
They are opposites.
Their sum is 0.
They are the same distance from zero on the number line.
Step-by-step explanation:
They are opposites. True
- -13 = 13
Their sum is 0. True
-13+13=0
They are the same distance from zero on the number line. True
|-13| = |13|
They are equivalent. False
-13 does not = 13
The diagnol of a square is x units. What is the area of the square in terms of x ?
Answer:
The side of the square = x/√2
Step-by-step explanation:
All the sides of a square are equal. All the angles are equal to 90°
To find the side of a square
From the figure attached with this answer shows a square.
Let 'x' be the diagonal of the square.
The diagonal make two right angled triangle with angle 45°, 45° and 90°
Therefore the sides are in the ratio 1 : 1 : √2
Here diagonal = x
side : side : x= side : side : √2
Therefore one side length = x/√2
Answer:
Area = x²/2 square units
Step-by-step explanation:
The key to solving this question is to understand that:
a) the sides of a square are the same length
b) the length of the diagonal may be calculated via Pythagoras' theorem (c² = a² + b², where c is the length of the hypotenuse of a triangle and a and b the lengths of the other two sides)
1. Now, let's call the sides of the square length y and the diagonal is length x.
Using c² = a² + b², we can substitute our values to get:
x² = y² + y²
x² = 2y²
2. Stepping away from Pythagoras' theorem for a little bit, let us think of the general formula for the area of a square:
A (for Area) = a², where a is the length of the sides of the square (which are all of equal length)
Given that we defined our square as having length y, let us substitute this value in to get:
A = y²
3. Now we have two formulas that we can work with:
1) x² = 2y²
2) A = y²
4. Given that A = y², we can say that 2y² = 2A
Therefor, if x² = 2y², then x² = 2A
Thus, if we want to find the formula for area in terms of x, we need to simply rearrange the given formula to make A the subject, giving us:
A = x²/2 square units
Hope that helps :)
What is 110% of 80
(With work please)
if we take 80 as the 100%, what is 110% of that?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ x&110 \end{array}\implies \cfrac{80}{x}=\cfrac{100}{110}\implies \cfrac{80}{x}=\cfrac{10}{11}\implies 880=10x \\\\\\ \cfrac{880}{10}=x\implies 88=x[/tex]
All we need to do to answer this question is find 10% of 80, and add that to 80 to find 110%.
To find 10% of 80, multiply it by the decimal of 10%, or .1.
80*.1=8.
Now, add 8 to 80 to get 110% of 80.
80+8=88
110% of 80 is 88.
Hope this helps!
Which shows the graph of x – 4y = 4? Image for option 1 Image for option 2 Image for option 3 Image for option 4
Answer:
Look at the picture
Step-by-step explanation:
I don't know what the option choices were, but I graphed the equation on a website called desmos.com so the answer is the one that looks like this graph:
Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t seconds
Answer:
h = 147 - 16t^2.
Step-by-step explanation:
Use the following equation of motion
h = ut + 1/2 gt^2 where h = height, u = initial velocity , g = acceleration due to gravity and t = the time.
So here we have:
h = 14t + 1/2 * -32 * t^2
h = 14t - 16t^2
Answer:
Height of jump, s(t) = 14t - 16.09t²
Step-by-step explanation:
We have equation of motion s = ut + 0.5 at².
For the this vertical motion we have
s = height of jump
u = initial velocity = 14 ft/s
t = time
a = acceleration due to gravity = -32.17 ft/s²
Substituting
s = 14 x t + 0.5 x (-32.17) x t²
s = 14t - 16.09t²
Height of jump, s(t) = 14t - 16.09t²
-3 is which type of number? Select all that apply.
natural number
rational number
whole number
integer
-3 is classified as the following:
Rational number
Whole number
Integer
Function 1 is represented in the table below. It shows the amount of money, y, in dollars, that Greg earns after he mows x of his neighbors’ lawns this weekend.
x y
1 12
3 36
4 48
Function 2, y = 8x represents the amount of money, y, in dollars, that Myesha earns after she babysits for x hours this weekend.
Which is a correct interpretation of the rates of change of these functions?
A. Myesha earns more money this weekend than Greg does.
B. Greg earns more money this weekend than Myesha does.
C. Myesha makes more money per hour babysitting than Greg makes per lawn he mows.
D. Greg makes more money per lawn he mows than Myesha makes per hour babysitting.
Answer:
Step-by-step explanation:
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A snail moves 18 millimeters every 24 seconds. What is the snail's rate of speed ?
Answer:
0.75m/s
Step-by-step explanation:
Speed formula: ⇒ [tex]S=\frac{V}{T}[/tex]
Divide by the numbers from left to right.
S=18
T=24
18/24=0.75
0.75m/s is the correct answer.
I hope this helps you, and have a wonderful day!
[tex]\frac{3}{4}[/tex] millimeter per second
Explanation:You simply need to divide [tex]\frac{18}{24}[/tex]. This is a fraction, so you can just simplify it.
Divide the numerator and the denominator each by 6, which is the greatest common factor. [tex]\frac{\frac{18}{6}}{\frac{24}{6}} = \frac{3}{4}[/tex]
This is as simple as the result can get, so [tex]\frac{3}{4}[/tex] millimeter per second is the final answer.
What is the product of 3a(8a-6a)
Answer:
6a^2
Step-by-step explanation:
What is the value of (-7 +31) - (2-61)?
Answer: 83
Step-by-step explanation:
(-7+31) - (2-61)
(24) - 2+61
22+61
83
Use properties of equality to solve these equations. Identify the properties used and describe how you used them. 65 • 92 • 17 = 92 • 17 • x
Answer:
65
Step-by-step explanation:
To solve this equation, we should simplify it as much as possible, which means multiply everything together.
[tex]65*92*17=101660[/tex]
[tex]92*17*x=1564x[/tex]
Now we can solve for [tex]x[/tex] by dividing each side by the coefficient.
[tex]101660=1564x[/tex]
[tex]x=65[/tex]
f(x)=x^3-5x^2-6x what does x equal
Answer:
x = 0, 6, -1
Step-by-step explanation:
We need to set f(x) = 0 to find the values of x for this expression.
So
[tex]x^3-5x^2-6x=0[/tex]
We will factor out an x and do middle term factorization to arrive at our answer for x (there will be 3 x values):
[tex]x^3-5x^2-6x=0\\x(x^2-5x-6)=0\\x(x-6)(x+1)=0\\x=0,6,-1[/tex]
These are the 3 values for x.
what is the additive inverse of the expression below, where a and b are real numbers ?
2a+b
Answer:
The additive inverse is equal to [tex]-2a-b[/tex]
Step-by-step explanation:
we know that
The additive inverse of a number is equal to its opposite ( the sum of a number and its additive inverse is equal to zero)
so
we have
[tex]2a+b[/tex]
Multiply by -1
[tex]-1(2a+b)=-2a-b[/tex]
therefore
The additive inverse is equal to [tex]-2a-b[/tex]
Choose the point-stope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope of -3
Answer:
y-6 = -3(x+1)
Step-by-step explanation:
The point-slope form of a line is the following:
y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.
In this case, m=-3 and (xo, yo) = (-1, 6).
Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)
In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:
y-6 = -3(x+1)
For this case we have that the equation of a line in the point-slope form is given by:
[tex](y-y_ {0}) = m (x-x_ {0})[/tex]
Where:
m: It's the slope
[tex](x_ {0}, y_ {0})[/tex]: It is a point through which the line passes
According to the data we have to:
[tex]m = -3\\(x_ {0}, y_ {0}) = (- 1,6)[/tex]
So the equation is:
[tex](y-6) = - 3 (x - (- 1))\\(y-6) = - 3 (x + 1)[/tex]
Answer:
[tex](y-6) = - 3 (x + 1)[/tex]