Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
A bag contains orange, white, and purple marbles. If you randomly
choose a marble from the bag, there is a 23% chance of drawing an
orange marble and a 48% chance of drawing a white marble. What is the
probability of choosing a purple marble? Express your answer as a
percent
Answer:
29%
Step-by-step explanation:
48%+23%= 71%
100%-71%=29%
The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Answer:
[tex]P(x) = 3x - 10[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 5x[/tex]
[tex]C(x) = 10 + 2x[/tex]
Required
Determine [tex]P(x) = (R - C)(x)[/tex]
In functions;
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex]P(x) = (R - C)(x)[/tex]
[tex]P(x) = R(x) - C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 5x - (10 + 2x)[/tex]
Open bracket
[tex]P(x) = 5x - 10 - 2x[/tex]
Collect Like Terms
[tex]P(x) = 5x - 2x- 10[/tex]
[tex]P(x) = 3x - 10[/tex]
The dimensions of a square are altered so that 10 inches is added to one side while 1 inch is subtracted from the other. the area of the resulting rectangle is 80in^2. how much larger is the area of the rectangle compared to the square?
The area of the rectangle is 44 square inches larger than the area of the square.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.
So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.
Since the area of the rectangle is given as 80 square inches, we can set up the equation:
s² + 9s - 10 = 80
Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.
The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.
Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.
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factor x^3 +7x^2−5x−35
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
If a+1=b then b>a create values for a and b
Answer:
One is a = 2, b = 3 AND another one is a = 11, b = 12
Step-by-step explanation:
They all fit this description. b = 1+a
Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all
Answer:
A.) x=-3
B.) I have no clue I'm sorry I haven't learned anything over square method
Step-by-step explanation:
Write 0.721 as a fraction. Show your work.
Step-by-step explanation:
721/100
It is correct answer
the area of a 12-cm- wide rectangle is 180cm. what is its length?
Answer:
multiply the legth times width
Step-by-step explanation:
If f(x) = 3x-2, find f(8) - f(5)
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?
Answer:
18 albums
Step-by-step explanation:
2x+3x=45
5x=45
x=9
country=2(9) = 18 album
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
What is the Circumference of a circle with a radius of 15mm? There are no choices
Answer:
90
Step-by-step explanation:
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!
Answer:
22.91 inches
Step-by-step explanation:
circumference = 2πr
2πr = 72 inches
2 x [tex]\frac{22}{7}[/tex] x r = 72
[tex]\frac{44}{7}[/tex] x r = 72
Solving for r , divide both sides of the equation by 7/44
r = 11.454545 inches
diameter= 2 x radius
2 x 11.454545 inches = 22.91 inches
Find the value of f (-2)
Answer:
f(-2)=-5
Step-by-step explanation:
i think of the line -5
another one of these, god help me
Answer:
24x+48
Step-by-step explanation:
(3x+6)(8)
=8(3x+6)
=(8*3x)+(8*6)
=24x+48
Answer: 24x + 48
Step-by-step explanation:
The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).
First you must replace L and W, for their given values.
A= (L) (W)
A= (3x+6) (8)
Then, simply simplify by multiplying 3x+6 by 8
You would end up getting 24x + 48
There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)
A) 35 B) 30 C) 16 D) 17
please show how
Answer:
Answer: 35
Step-by-step explanation:
five out of every eight are carrying suitcases, so muiltiply 5/8 times 56 to get 35
the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle
Answer:
The length of the other leg of the triangle is 30 inches.
Step-by-step explanation:
Pythagorean: a^2+b^2=c^2
50=hypotenuse
50^2-40^2=missing leg
50^2=2500
40^2=1600
50^2-40^2=900
[tex]\sqrt{900}[/tex]=30
30 is missing leg
The length of the other leg of the triangle is; 30 inches.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.
Using Pythagorean:
[tex]a^2+b^2=c^2[/tex]
50 = hypotenuse
Let the missing length is x.
x² = 50^2-40^2
x² = 2500 - 1600
x² = 900
x =30
Hence, the length in inches of the other leg of the triangle is 30.
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what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
.
.
...
.
. :-)))
The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.
Answer:
[tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]
The width of the easement is [tex]x\ \text{ft}[/tex]
Buildable area 140 ft by 64 ft
[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]
The width of the easement is [tex]5\ \text{ft}[/tex].
Myra reads 8 pages of her book. If this is 25% of her book. How many pages does she have left to read?
does pablos cell phone plan offer the same ratio of free to paid minutes as sams? explain
Answer:
So the answer would be No Pablo's cell phone plan does not offer the same ratio of free to paid as Sam's because Pablo's cell phone plan provides free minutes which are basically equal to the paid minutes.
Step-by-step explanation:
Hope this helps and have a great day!!!
You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.
Answer:
2,100
Step-by-step explanation:
Calculation to Estimate the number of fish in the pond.
Estimated Number of fish=420 fish*140 fish/28
Estimated Number of fish=58,800/28
Estimated Number of fish=2,100
Therefore the Estimated number of fish in the pond will be 2,100
The total number of fish in the pond is 2100
Let y represent the total fish in the pond.
Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?The estimated fish in pond can be obtained as follow:
Tagged in pond / Total in pond = captured tagged fish / Captured fish
140 / y = 28 / 420
Cross multiply
y × 28 = 140 × 420
y × 28 = 58800
Divide both side by 28
y = 58800 / 28
y = 2100
Thus, the estimated fish in the pond is 2100
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help Math 39 points Asap Probability image below
Answer:
1/10
Step-by-step explanation:
There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.
There are five marbles altogether.
First is 2/5
The second blue is 1/4
The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10
At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If
Mary bought 16 fish for a total cost of $31.60, not including tax, how many of each
type of fish did she buy?
a) 8 zebra fish; 8 neon tetras
b)8 zebra fish; 9 neon tetras
c) 14 zebra fish; 2 neon tetras
d) 7 zebra fish: 9 neon tetras
A sweater that costs $32 is being marked down 30%. What is the new price of sweater?
Answer: try thease to see if they help !
Step-by-step explanation:
Take the pre-sale price.
Divide the original price by 100 and multiply it by 30.
Take this new number away from the original one.
The new number is your discounted value.
Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges This was 1350 g more than the weight of bananas bridges what was the way of the bananas Antonio purchased in grams
Answer: 3600 grams
Step-by-step explanation:
A dekagram means 10 grams.
1 kilogram = 1000 grams
Therefore the total number of grams when Antoine Purchase 1.8 kg of apples and 315 dekagrams of oranges will be:
= (1.8 × 1000) + (315 × 10)
= 1800 + 3150
= 4950 grams
Since this was 1350g more than the weight of bananas, the weight of the bananas Antonio purchased in grams will be:
= 4950 - 1350
= 3600 grams
15.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
Answer:
In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h
So the answer is B. northbound bicyclist = 18 km/h
southbound bicyclist = 14 km/h
Step-by-step explanation:
the speed of the slower is x and the faster x+4 km/h
that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.
in 1h15m the slower goes 17.5 km and the faster 22.5 km
Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h
Which of the following equations best represents the line of best fit for the data in the scatterplot?
Answer:
the answer is b bc the line is positive
Step-by-step explanation:
The equation that best represents the line of best fit is -
y = (1/2)x - 1
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the line of best fit for the data in the scatterplot.
The line passes through the points -
(0, - 1) and (2, 0).
Then, the slope will be -
m = 1/2
and the [y] - intercept is -1. So the equation that best represents the line of best fit is -
y = (1/2)x - 1
Therefore, the equation that best represents the line of best fit is -
y = (1/2)x - 1
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Someone pls help me solve this I’m having really bad anxiety!
