Let C be the total cost;
[tex]c = 28 \times 30 = 840[/tex]
Let R be the total revenue;
[tex]r = 28 \times 25 = 700[/tex]
Let P be the net profit;
[tex]p = r - c[/tex]
[tex]p = 700 - 840 = - 140[/tex]
There was a 140$ net loss.
Marcus has 127 baseball cards in his collection. Gabriel has 56 cards in his collection. Gabriel divides his collection evenly among Marcus and 7 other friends. How many baseball cards does Marcus have now?
Use the drop-down menu to show the correct answer.
Marcus has
Choose...
baseball cards now.
Answer:
134
Step-by-step explanation:
Gabriel has 56 cards and divides them evenly among 8 friends, which means each person has 56/8= 7 cards.
So Marcus has 127 + 7 = 134 cards
how do you solve 7/8+(4/8-2/4)
In the figure below, triangle QRT, triangle RSQ, and triangle QST are scalene triangles.
If mQRS = 37° and mTQS = 34°, what is mTQR?
A.
87°
B.
90°
C.
93°
D.
109°
mTQR = 87°
HOPE IT HELPS...!!!
Answer:
[tex] \sf m \angle TQR = 87 \degree[/tex]
Step-by-step explanation:
Given:
∆QRT, ∆RSQ and ∆ QST are scalene traingle.
[tex]m \angle QRS = 37 \degree \\ m \angle TQS = 34 \degree \\ m \angle QST = 90 \degree[/tex]
To find:
[tex]m \angle TQR = ?[/tex]
Solution:
In ∆ QTS,
[tex] \sf \: m \angle TQS + m \angle QTS +m \angle QST = 180 \degree \: \\ \sf (properties \: of \: triangle)[/tex]
[tex] \sf \: 34 + m \angle QTS +90 = 180 \degree \: \\ \sf m \angle QTS = 180 - 90 - 34 \\ \sf \: m \angle QTS = 180 - 124 \\ \sf \: m \angle QTS = 56 \degree[/tex]
Now in ∆QTR,
[tex] \sf \: m \angle QTR + m \angle TQR + m \angle TRQ \: = 180 \degree \\ \sf (properties \: of \: triangle)[/tex]
[tex] \sf \: 56 + m \angle TQR + 37 \: = 180 \degree \\ \sf m \angle TQR = 180 - 56 - 37 \\ \sf m \angle TQR = 87 \degree[/tex]
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A map of a highway has A scale of 2 inches= 27 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You’re making a new map with a scale of 1 inch= 30 miles. How far apart are the rest stops on the new map?
Answer:
From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."
Step-by-step explanation
Im sorry if none of these answers are correct.
the quotient of the product of 32 and 15 and the difference of 17 and 9 as a numerical expression?
Answer:
(32×15)/(17 -9)
Step-by-step explanation:
The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.
__
Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).
Then the desired numerical expression is ...
[tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]
______
Additional comment
The result of evaluating this expression is ...
(32×15)/(17 -9) = 480/8 = 60
__
For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".
In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).
Three DVDs and four CDs cost $92. Two DVDs and three CDs cost
$65. Find the cost of each tape and CD.
Answer:
DVD: $16
CD: $11
Step-by-step explanation:
These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:
3x+4y=92
2x+3y=65
When graphed, the solution is at (16,11).
Therefore, one DVD costs $16 and one CD costs $11.
How is the graph of log (x + 3) translated from the graph of log x?
shifted down 3 units
shifted left 3 units
shifted up 3 units
shifted right 3 units
shifted left 3 units
Graphed Below:
red line: log (x + 3)blue line: log (x)Which ordered pair is a solution to the following system of inequalities
3
Select all the correct answers.
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
o As demand decreases, costs generally increase.
As supply decreases, prices increase.
The average rate of change describes how much a quantity changes as price increases.
o As demand rises, the price of the product decreases.
Answer:
A, C, and D
Step-by-step explanation:
Let's analyze each option:
A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).
B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).
C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).
D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.
E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).
I've attached an example graph to help you visualize all of these factors.
A box, with rectangular sides, base and top is to have a volume of 2 cubic feet. It has a square base. Express the
surface area A of the box in terms of the width w of the base. If the material for the base and top costs 10 dollars/ft2
and that for the sides costs 20 dollars/ft express the total cost C as a function of the width.
The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
Let w represent the width of the base and h represent the height. Hence:
w²h = 2
h = 2/w²
The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w
The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)
The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)
Find out more on volume at: https://brainly.com/question/12410983
A triangular window has an area 240 square feet and height 16 feet. What is its base?
Answer:
30 feet
Step-by-step explanation:
Area of a triangle = bh/2
A = bh/2
240 = b(16)/2
480 = (16)b
30 = b
Base = 30 feet
I hope this helps!
Answer:
30 ft
Step-by-step explanation:
Formula to find the area of a triangle is :
Area = [tex]\frac{1}{2}[/tex] × base × height
Given that,
Area of the triangle = 240 ft²
Height = 16 ft
Base = ??
Let us find now.
Area = [tex]\frac{1}{2}[/tex] × base × height
240 = = [tex]\frac{1}{2}[/tex] × b × 16
240 × 2 = 16b
480 = 16b
Divide both sides by 16.
30 ft ⇒ base
I need help with number one and thank you for your help
Answer: B
Step-by-step explanation: The first X was 1. If you add 1 too the 1/2 in the equation, its 1 & 1/2. theres only one graph that has 1 & 1/2, and its B
Emma made 3/4 of a pound of trail mix. If she puts 1/8 of a pound into each bag, how many bags can Emma fill?
Suppose a = 16 and b = 20. what is c
The round temperature dial on a thermostat has a diameter of 26 millimeters. What is the dial's circumference?
C = 2 x pi x r = pi x d
so
C = 3,14 x 26 = 81,64 mm
I need help with this question can someone help??
Question is in photo :p
Answer:
The answer to this question is 0.6
Step-by-step explanation:
Exercise: 6.68 'Cat Owners': According to the American Veterinary Medical Association, 30% of Americans own a cat. Find the probability that exactly 2 out of 8 randomly selected Americans own a cat. In a random sample of 8 Americans, find the probability that more than 3 own a cat.
Using the binomial distribution, it is found that there is a:
0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected Americans own a cat.0.4482 = 44.82% probability that more than 3 own a cat.What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
30% of Americans own a cat, hence p = 0.3.A sample of 8 Americans is taken, hence n = 8.The probability that exactly 2 out of 8 randomly selected Americans own a cat is P(X = 2), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]
0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected Americans own a cat.
The probability that more than 3 own a cat is given by:
[tex]P(X > 3) = 1 - P(X \leq 2)[/tex]
In which:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.3)^{0}.(0.7)^{8} = 0.0576[/tex]
[tex]P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977[/tex]
[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]
Then:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0576 + 0.1977 + 0.2965 = 0.5518[/tex]
[tex]P(X > 3) = 1 - P(X \leq 2) = 1 - 0.5518 = 0.4482[/tex]
0.4482 = 44.82% probability that more than 3 own a cat.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
i will give you both my kidneys for this answer!!!! Select the correct answer.
Consider functions fand g.
f(x) = 3x+1.what is the value of (f(g(1))
Answer:
1
Step-by-step explanation:
when x is 1 g(1) is 0
so
(f(g(1)) is f(0)
f(0) is 3√0 + 1 which is
1
sorry it looks like its not one of the answer choices
https://brainly.com/question/19425686
The composition of functions f ( g ( 1 ) ) = 1
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 3√x + 1
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( 1 ) = 0
g ( 2 ) = 1
g ( 3 ) = 4
g ( 4 ) = 9
Now , the composition of function is given by f ( g ( 1 )
The value of g ( 1 ) = 0
And , f ( x ) = 3√x + 1
when x = 0
So , the value of f ( 0 ) = 3√0 + 1
The function is f ( 0 ) = 1
Hence , the value of the function f ( g ( 1 ) = 1
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Which of the following is the correct factorization of this trinomial?
4x^2 - 0x - 9
A. (4x - 3)(x + 3)
B. (2x - 3)(2x + 3)
C. (2x - 9)(2x + 1)
D. (4x - 9)(x + 1)
Answer:
B. (2x - 3)(2x + 3)Step-by-step explanation:
4x² - 0x - 9 = 4x² - 9 = (2x)² - 3² = (2x - 3)(2x + 3)
used: (a - b)(a + b) = a² - b²
Please write no more than two paragraphs. Assignment is worth 25 points We have been talking about variables and how they are measured. For this assignment, I have assigned a paper for you to study on the potential impacts of a paleolithic diet on cardiovascular markers in patients with diabetes.
The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.
What is diabetes?It should be noted that diabetes simply means a condition when the blood glucose is too high.
In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.
Learn more about diabetes on:
https://brainly.com/question/504794
I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!
Answer:
it's "whats shaking"
Step-by-step explanation:
Answer:
k=8.
n=12
a=29
h=5
i=297
g=89
Two companies provide home Internet services.
The first company charges a one-time fee of $55 for the equipment, plus $30 per month for the service.
The second company charges a one-time fee of $25 for the equipment, plus $45 per month for the service.
In how many months will the services of the two companies cost the same?
Answer:
2 months
Step-by-step explanation:
55+30x=25+45x
55-25=45x-30x
30=15x
x=2
Identify the percent rate of change in exponential function y=(0.9)
Answer:
90
Step-by-step explanation:
0.9 multiplied by 100 to turn it into a percentage is 90.
Solve: |x-2|=3
Can someone explain how to do this please!!!
Step-by-step explanation:
after x^2-4x-5 do sum and product
image Consider the graph of g(x) = x2 – 8x + 12. Identify the y-intercept, the vertex, and the zeros of the function.
Answer:
Below in bold.
Step-by-step explanation:
g(x) = x^2 – 8x + 12
Convert to vertex form:
g(x) = (x - 4)^2 - 16 + 12
g(x) = (x - 4)^2 - 4.
So the vertex is at (4, -4).
y-intercept (when x = 0) is ((0-4)^2 - 4 = 16 - 4
- that is (0, 12).
Zeros:
(x - 4)^2 - 4 = 0
(x - 4)^2 = 4
x - 4 = +/- 2
x = 2 + 4 = 6 or x = -2 + 4 = 2.
= 2, 6.
Question 7 (3 points)
A right rectangular prism is shown. Find the surface area of this prism. Refer to your
STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Answer:
196 square feet
Step-by-step explanation:
(learn it before u submit. im here to help not cheat;w;
-ur fellow classmate)
S=ph+2b
s=(p=l+l+w+w) (h)+ (2) (b=lxw)
s=(8+8+10+10) (1) + (2) (8x10)
s=( 36x1 )+ (2x80)
s= 36+160
s=196
God bless ya:)
The area of this prism is 196 square feet.
What is the area of the prism?The prism's area can be calculated by adding its lateral area to the base areas. The process of calculating these areas ends up being facilitated because the two bases of a prism are the same, therefore, it is enough to calculate the area of a base and multiply the result by 2
The formula for the area of the prism is given by:
[tex]S=ph+2b[/tex]
Where:
p=l+l+w+wb=lxwSo we have that:
[tex]s=(p=l+l+w+w) (h)+ (2) (b=lxw)\\s=(8+8+10+10) (1) + (2) (8*10)\\s=( 36*1 )+ (2*80)\\s= 36+160\\s=196[/tex]
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Malika's school is selling 100 raffle-tickets to raise money for a new gymnasium. The
grand-prize is a ten-speed mountain bike. Which word or phrase describes the
probability that she will win the raffle if she buys all the tickets?
A. An equal chance or 50-50
B. Certain
C. Unlikely
D. Likely
Answer:
Certain
Step-by-step explanation:
If she buys all of them, no one else has a chance because there is no other tickets
Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $25. How many erasers did he buy? Answer using two step equations with X as the variable
Answer:
He bought 7 erasers take 10 dollars and keep adding 2
Find the vertex of this parabola:
y = -4x2 + 8x - 13
Answer:
Below in bold.
Step-by-step explanation:
y = -4x2 + 8x - 13
Divide first 2 terms by -4:-
y = -4(x^2 - 2x) - 13
Convert to vertex form by completing the square:
y = -4[(x - 1)^2 - 1] - 13
y = -4(x - 1)^2 + 4 - 13
y = -4(x - 1)^2 - 9 <---------- Vertex form
y = a(x - j)^2 + k <---------- General form with vertex = (j, k).
So comparing, we see that the vertex is (1, -9).
4) A circle has a circumference of 219.8 yd. What is the diameter of the circle?
a) 35 yd
b) 70 yd
c) 30 yd
Answer:
70
Step-by-step explanation:
Circumference = pi × diameter
219.8 = pi × diameter
219.8/pi = diameter
Diameter = 69.96....
= 70yd