What is 2x-16=90 in Algebra1
Camille Keegan sells lamps for $105.55 that cost her $75.00. Camille's percent of markup based on the selling price is:
Markup = $105.55 - $75 = $30.55. Percentage markup based on selling price = $30.55 / $105.55 * 100% = 28.94%
Camille's percent of markup based on the selling price is calculated by finding the difference between the selling price and the cost price, dividing by the selling price, and then multiplying by 100. The calculation reveals that the markup percentage is approximately 28.94%.
Explanation:The question asks us to calculate Camille Keegan's percentage of markup based on the selling price of the lamps. The markup is the difference between the selling price and the cost price. To find the percentage of markup based on the selling price, we use the formula: (Markup / Selling Price) × 100. First, we find the markup by subtracting the cost price from the selling price, which is $105.55 - $75.00 = $30.55. Then we divide the markup by the selling price: $30.55 / $105.55. Finally, we multiply the result by 100 to get the percentage of markup based on the selling price.
Step-by-step calculation:
Therefore, Camille's percent of markup based on the selling price of the lamps is approximately 28.94%.
a dragongfly traveled at a rate of 35 miles per hour for 2.5 hours .what distance did the dragonfly travel?
What is the domain of the quadratic function graphed below?
In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?
Answer:
Actually the answer is 56, so D.
Step-by-step explanation:
To the nearest whole unit, the length of CD is approximately 4 units.
Given Information:
In triangle ABD, BC is an altitude (perpendicular) from point B to side AD.
We need to find the length of CD.
Approach:
Since BC is an altitude, triangle BCD is a right triangle with BC as one of its legs and BD as its hypotenuse.
We can use the Pythagorean theorem to relate the lengths of BC, CD, and BD.
Pythagorean Theorem: The Pythagorean theorem states that in a right triangle:[tex][ \text{Hypotenuse}^2 = \text{Leg}_1^2 + \text{Leg}_2^2 ][/tex]
Application to Triangle BCD:
Let’s denote the length of CD as (x).
BC is given as 30 units.
BD can be expressed as (BD = AB + AD), where AB is the length of the other leg.
Using Triangle ABC:
Triangle ABC is also a right triangle.
We have AC = 16 units (given).
Using the Pythagorean theorem for triangle ABC: [tex][ AB^2 + BC^2 = AC^2 \ AB^2 + 30^2 = 16^2 \ AB^2 + 900 = 256 \ AB^2 = 256 - 900 \ AB^2 = -644 ][/tex]
Since we cannot have a negative side length, we discard this solution.
Using Similar Triangles:
Notice that triangle BCD is mathematically similar to triangle ACE.
The coefficient of similarity is evident from the side CE.
We can set up the following proportion: [tex][ \frac{BC}{CD} = \frac{AC}{CE} \ \frac{30}{x} = \frac{16}{CE} \ CE = \frac{16x}{30} ][/tex]
Finding BD:
We know that (BD = AB + AD).
Since we couldn’t find AB directly, we express it in terms of CE:[tex][ AB = AC - CE = 16 - \frac{16x}{30} = \frac{480 - 16x}{30} ][/tex]
Now, we can find BD: [tex][ BD = AB + AD = \frac{480 - 16x}{30} + 16 = \frac{480 + 480 - 16x}{30} = \frac{960 - 16x}{30} ][/tex]
Applying the Pythagorean Theorem to Triangle BCD: [tex][ BD^2 = BC^2 + CD^2 \ \left(\frac{960 - 16x}{30}\right)^2 = 30^2 + x^2 \ 960^2 - 32x \cdot 960 + 256x^2 = 900x^2 + 900 \cdot 30^2 \ 960^2 - 32x \cdot 960 = 900x^2 - 900 \cdot 30^2 \ 960^2 + 900 \cdot 30^2 = 932x^2 \ x^2 = \frac{960^2 + 900 \cdot 30^2}{932} \ x \approx 3.75 ][/tex]
To the nearest whole unit, the length of CD is approximately 4 units.
each month for 7 months, samuel mows 3 lawns. how many more lawns does he need to mow before he has mowed 29 lawns?
Gina works at a diner. She earns $6 each hour plus tips.In one week,she worked 37 hours a week and earned $43 in tips.How much did she make altogether? Write an equation. Use a variable for the unknown.Solve.
**^^**
While doing a math problem in class, Jared's answer was different from his teacher's. So she had him come up and work the problem on the board. Here's Jared's work.
36.47
x 12
----------
7294
+ 3647
-----------
109.41
What was his mistake?
A>He multiplied incorrectly.
B>He left out the place holder under the 4.
C>There are not enough numbers after the decimal.
D>The sum of 7,294 and 3,647 is incorrect.
Answer:
The other answer is wrong, actually
Step-by-step explanation:
The real answer is B, He left out the place holder under the 4.
Jared did not multiply incorrectly.
Determine which two values the following number is between.
3√176
A. 5.59 and 5.6
B. 5.6 and 5.61
C. 5.62 and 5.63
the ordered pair for an x-intercept has an x-value of 0 A.True or False
The ordered pair for an x-intercept has an x-value of 0 has some value of x and it has zero value for y, So it is a False statement.
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given statement,
the ordered pair for an x-intercept has an x-value of 0
we can see in graph that when line intersect the x axis, the x coordinate of that point is known as x-intercept,
suppose, we have one line , y = 3x+3
so when we draw graph for it,
and if we see x-intercept
it will come out as, 0 = 3x+3 ⇒ x = -1
It is clear that value of x is not zero
hence, the given statement is false
To know more about Line check:
https://brainly.com/question/17188072
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Eric sells shirts. It costs him $100 to buy all the shirts and $10 to print designs on the shirts. Eric sells each shirt for $4. So far Eric has sold 20 shirts. Eric uses an equation to calculate his total profit.
What is the slope of the equation modeling this situation?
To find the slope of the equation modeling Eric's situation, subtract the total cost from the selling price per shirt, resulting in a loss of $106 per shirt sold.
The slope of the equation modeling Eric's situation can be calculated as follows:
Profit per shirt = Selling price per shirt - Total cost per shirtProfit per shirt = $4 - ($100 + $10)Profit per shirt = $4 - $110 = -$106The slope, which represents the profit per shirt, is -$106, indicating a loss of $106 for each shirt sold.
One number is 3 less than twice another. If their sum is 39, find the numbers.
Which of the following systems of equations represents the word problem?
A.y = 2x - 3 and y = x + 39
B.y = 2x - 3 and x + y = 39
C.y = 2(x - 3) and x + y = 39 ...?
Let
y------> one number
x-----> another number
we know that
[tex]y=2x-3[/tex] ------> equation A
[tex]x+y=39[/tex] ------> equation B
substitute equation A in equation B
[tex]x+[2x-3]=39[/tex]
[tex]3x=39+3[/tex]
[tex]x=42/3=14[/tex]
Find the value of y
[tex]y=2*14-3=25[/tex]
the numbers are [tex]25[/tex] and [tex]14[/tex]
therefore
the answer is the option B
[tex]y=2x-3[/tex] and [tex]x+y=39[/tex]
Brandon can paint a fence in 12 hours and Elaine can paint the same fence in 11 hours. How long will they take to paint the fence if they work together?
A) 5 13/24 hr
B) 5 ¾ hr
C) 11 ½ hr
D) 5 17/23 hr
Answer:5 17/23
Step-by-step explanation:
Clovis wants to make a surprise visit to his uncle who lives out of town. He purchases an airline ticket for $69. There is a 15% sales tax on the price of the airline ticket. In addition he must pay a baggage fee of $20. When he arrives at the airport, Clovis takes a taxi to his uncle's house which is 8 miles from the airport. The taxi fee is $2.50 per mile. If Clovis has spent a total of $123.35 for the airline ticket and taxi, at what percent of his fare did Clovis tip the taxi driver?
a.
10%
b.
15%
c.
20%
d.
25%
Answer:
20%
Step-by-step explanation:
edge 2021
Can a cubic equation have 3 complex roots? 3 real roots? ...?
Final answer:
A cubic equation can have either three real or three complex roots (including a real root and a pair of complex conjugate roots), determined by its discriminant. Complex roots arise in pairs due to the conjugate root theorem, ensuring that the coefficients of the equation remain real.
Explanation:
A cubic equation, which is an equation of the form ax^3 + bx^2 + cx + d = 0, can indeed have 3 complex roots or 3 real roots, depending on the discriminant and the nature of the coefficients. According to the Fundamental Theorem of Algebra, every cubic equation has three roots in the complex number system, which includes real numbers as a subset.
If the discriminant is positive, the cubic equation has three distinct real roots. If the discriminant is zero, the equation has a multiple root and all its roots are real.
Equilibrium problems in mathematics may require using cube roots when finding the solution, and utilizing the correct functions on a calculator is vital for these calculations. This could be in applied sciences like chemistry or physics, where cubic equations may arise.
The GCF of the numbers in the expression (32 + 16) is . The numbers left inside the parentheses after factoring out the GCF are and .
Answer:
The answer is :
2 and 1
Step-by-step explanation:
The GCF means greatest common factor between given numbers.
The GCF of the numbers in the expression (32 + 16) is 16.
Factor each with a common factor of 16:
[tex](16\times2+16\times1)[/tex]
After factoring out 16, we have:
[tex]16(2+1)[/tex]
So the answer is :
2 and 1
square root of 85 is between what two consecutive number
When Emma was born, she weighed 3.2 kilograms. In 2 months, she weighed
5.15 kilograms.
How much did Emma gain in her first 2 months?
Simplify the expression.
(8 + 7a) + 4
Answer:
its 12+7a
Step-by-step explanation:
i used the answer that was below and it was backwards! please dont use it if you want it to be correct! the correct answer is 12+7a
Rewrite with only sin x and cos x.
cos 3x
cos x - 4 cos x sin2x
-sin3x + 2 sin x cos x
-sin2x + 2 sin x cos x
2 sin2x cos x - 2 sin x cos x
Final answer:
To rewrite expressions using only sin x and cos x, we can use trigonometric identities like [tex]cos 2x = 1 - 2sin^2 x[/tex] and sin 2x = 2sin x cos x. By applying these identities, we can simplify the given expressions.
Explanation:
To rewrite the given expressions using only sin x and cos x, we can use the following trigonometric identities:
[tex]cos 2x = 1 - 2sin^2 x[/tex]sin 2x = 2sin x cos x[tex]sin 3x = 3sin x - 4sin^3 x[/tex]Using these identities, we can rewrite the expressions as follows:
cos 3x = [tex]4cos^3 x - 3cos x[/tex]cos x - 4cos x sin^2 x = cos x - 4sin x cos x sin x = [tex]cos x - 4sin^3 x cos x[/tex]-sin 3x + 2sin x cos x = [tex]-(4sin^3 x) + 2sin x cos x[/tex] = [tex]-4sin^3 x + 2sin x cos x[/tex]-sin 2x + 2sin x cos x = -2sin x cos x + 2sin x cos x = 0[tex]2sin^2 x cos x - 2sin x cos x[/tex] = 2sin x cos x (sin x - 1)if the point (x, –1) is on the unit circle, what is the value of x?
Answer:
0^2 (–1)2 = 1.
Step-by-step explanation:
If the price of an item is $34 and the sales tax on it is $1.36, what is the sales-tax rate? You can use the calculator tool.
Answer:
$0.04 per $1
Step-by-step explanation:
If you pay $1.36 for $34, then the tax rate is 1.36/34=0.04
That's for each dollar value of an item, you pay $0.04
Mai's penny bank is 7/10 full. After she removes 200 pennies, it is 1/2 full. How many pennies can Mai's bank hold?
Which relation is a function?
I. {(2, 4), (–1, 7), (3, 0), (5, 4)}
II. {(–3, 6), (–3, 6), (8, 6), (8, 10)}
III. {(4, 1), (–2, 5), (–8, 3), (4, 6)}
A. II only
B. I only
C. I and II
D. II and III
Patty has a fish pond in her backyard. Even though the air temperature outside has change 35 degrees from sunrise to sunset, the water temperature in the fish pond has only changed 2 degrees. The reason for this lack of temperature change in the water is that it has a high
_____________.
Answer:
The reason for this lack of temperature change in the water is that it has a high specfic heat .
Step-by-step explanation:
Definition of specfic heat .
The amount of heat required per unit mass to raise the temperature by one degree Celsius .
Reason = The reason for this lack of temperature change in the water is due to hydrogen bonding present in water molecules .These hydrogen bonds takes large amount of heat gain for just 1 degree Celsius change in temperature. therefore water temperature increases slowly.
Imaginary Numbers
Simplify
i^9
Answer:
i^9 = i
Step-by-step explanation:
$800,000 if your rate of return is 5.3% compounded monthly
If you deposit the amount you need to achieve your goal in 20 years, how much will your savings be worth after 10 years?
For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 50 sq. ft. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. What are the dimensions of the vegetable patch with the least expensive fence? ...?
Which expression represents the composition f(g(h(x))) for the functions below?
f(x) = 2x + 1
g(x) = 4x^2
h(x) = x^2
4x^4
8x^4 + 1
8x^2 + 1
(8x^2 + 1)^2
7x-5y=4; what does x and y equal