21 total pens
- 1 red pen
20 pens total
6/20 red pens left
6/20 = 3.3333
= 3.3
Your hose fills a swimming pool in 3 hours. When your friend's hose is used together with your hose, the pool is full in 1 hour. How long (in hours) does it take your friend's hose to fill the pool when working alone
Answer:
1.5 hours
Step-by-step explanation:
Given :
My hose = 3 hours ; my rate = 1/3
Let My friend's time = x ; his rate = 1/x
Combined time = 1 hour, combined rate = 1/1 = 1
Combined rate :
1/3 + 1/x = 1
1/x = 1 - 1/3
1/x = (3 - 1)/ 3
1/x = 2/3
Cross multiply :
3 = 2x
x = 3/2
x = 1.5 hours
Yesterday, there were 60 problems assigned for math homework. Albert did 30% of them correctly. How many problems did Albert get right?
Given a box of 8 color crayons (Red, Blue, Green, Orange, Yellow, Brown, Black, Purple). If I remove a single crayon randomly, and without putting it back in the box, I remove a second crayon randomly, what is the probability that I will remove the Red and the Green crayon from the box
Answer: 1/56
Step-by-step explanation:
Since the box has 8 different colors, the probability of picking any color of crayon will be 1/8.
This question relates to a probability without replacement, therefore, the probability of picking the red crayon first will be 1/8. After then, there'll be 7 crayons left and the probability of picking the green crayon next will be 1/7.
Therefore, the probability that I will remove the Red and the Green crayon from the box will be:
= 1/8 × 1/7
= 1/56
If you have $100 and then lose $25 what is the percent change
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
The lost percentage is 25%
The percentage remaining is 75%
ThanksThanksHope it helpsThe ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
knows the diagonal of the ceiling from corner to corner must be longer than 25 ft,
but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your
work. (Hint: the answers should be the same!)
Please help !!!
Answer:
The answer is below
Step-by-step explanation:
a) Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It states that the square of the hypotenuse is equal to the sum of the square of the legs of the triangle.
Let x be the length of the hypotenuse, using Pythagoras:
x² = 25² + 25²
x² = 1250
x = 35 (to the nearest whole number)
b) Using sine rule:
[tex]\frac{x}{sin(90)} =\frac{25}{sin(45)} \\\\x=\frac{25}{sin(45)} *sin(90)\\\\x=35(to \ nearest\ whole\ number)[/tex]
Which graph represents the equation (x – 3)2 + y2 = 16?
Answer:
It is B on edge
Step-by-step explanation:
Help me pls I need help fast give point and brianlylist
Answer:
Step-by-step explanation:
A) 2( 4×5 +6×5+6×4)=148 cm²
B) 2( 4x6 + 13 ×6 + 13×4) = 308 in²
Came someone help me answer this one?
Answer:
Let x = ducks
Let y = goats
Equation 1: x+y=38
Equation 2: 2x+4y=90
Step-by-step explanation: (Work)
The question says two kinds of animals, so let x be "ducks" and y be "goats."
Number one equation: x+y=38
Number two equation: 2x+4y=90
Explanation:
The x+y=38 represents how many animals there will be if you add both the ducks and goats.
The 2x+4y=90 represents the legs of the animals, the 2x represents the 2 legs of the ducks and the 4y represents the 4 legs of the goats.
Leah asked for one and 1/2 pounds of fish at the grocery store which value is equivalent to 1 1/2
Answer:
3/2
Step-by-step explanation:
make into a improper fraction
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
17 years
Step-by-step explanation:
We can use a known formula (n being the number of years)
n = log(17323/8500) / log (1+ 0.045) = 16.17
Teresa has $3.60 in quarters and nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickels is equal to what number?
9514 1404 393
Answer:
243
Step-by-step explanation:
Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...
0.25q + 0.05(36 -q) = 3.60
0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80
q = 9 . . . . . . . . . . . . . . . divide by 0.20
36 -q = 36 -9 = 27 . . . . the number of nickels
The product of the number of quarters and the number of nickels is ...
(9)(27) = 243 . . . the product of interest
Tom has a 490-page book to read. If he has already read 56 pages, how many more pages should he read each week
o finish in 6 weeks?
Write an equation for the situation and then answer the question.
If he has read 56 pages and there are a total of 490, then how many are left? That's 490 - 56 = 434.
To read 434 pages in 6 weeks, he should read 434 / 6 pages each week. That's 72 1/3 pages per week.
I need help on this question
Answer:
A
Step-by-step explanation:
45-45-90 Right Triangles! Can somebody please help me? ASAP!!
Answer:
Step-by-step explanation:
45-45-90 triangles always have the same relationships
leg = x, hypotenuse = x√2
If you have the leg length multiply it by √2 to get the hypotenuse
hypotenuse = x, Leg = x/√2
If you have the hypotenuse length divide it by √2 to get the leg
-----------------------
7)
leg = 3√2 / 2
hyp = 3√2 / 2 * √2 = 3
8)
leg = 5√2
hyp = 5√2 *√2 = 10
9)
hyp = 2
leg = 2 / √2 = √2
10)
leg = 13√2 / 2
hyp = 13√2 / 2 * √2 = 13
11)
leg = 3√3
hyp = 3√3 * √2 = 3√6
12)
leg = 12
hyp = 12√2
A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What is the area of the flower bed
9514 1404 393
Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
__
In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
In the triangle below, suppose that m angle L=(5x-3)m angle M=(4x-7)^ , and m angle N=x Find the degree measure of each angle in the triangle .
Please I need this done in 15 minutes !!!!!
Helpppppp me right now!
Answer:
B and D
7/12 cups
Step-by-step explanation:
2 1/3 + 2 1/4 = cups of flour needed
4 = cups of flour had
2 1/3 + 2 1/4
To have the same denominator, we take the lcm
2 + 2 + (4/12 + 3/12) =
2 4/12 + 2 3/12 - 4
Or
2 + 2 + (3 + 4) / 12 - 4
2 + 2 + (3 + 4) / 12 - 4 = 4 7/12 - 4
4 7/12 - 4 = 7/12 cups of flour needed
What is the area of the figure below?
:8 in.
21 in.
A 84 in2
B 160 in?
C 168 in2
D 336 in?
Answer:
The answer is C. 168 in^2
Step-by-step explanation:
(Area = Base x Height)
21 * 8 = 168
NO LINKS!!! NOT AN ASSESSMENT OR TEST!!!! NOT MULTIPLE CHOICE!!
a. Sketch a graph to model Seattle's cost structure over the domain [0, 42,000]. Be sure to label the axes and any endpoints where the graph breaks.
b. Describe the function over each part of its domain. State whether it is constant, increasing or decreasing, and state the slope over each part.
Part (a)
The graph is shown below. It's a piecewise function composed of 3 parts: Two flat horizontal segments and a decreasing segment.
Note the use of open holes at points C and E. They tell the reader that the specific point is not part of the function. For example, point C at (8000,0.75) is an open hole since the second piece has x = 8000 excluded. In other words, the domain for the second piece is [tex]8,000 < x \le 20,000[/tex] which says to exclude 8000 but to include 20,000.
============================================================
Part (b)
The flat parts are due to the two first pieces being constant functions. Regardless of what x is on those portions, the cost per unit stays the same. We see that the cost starts off at 35 cents per unit (green segment), then it jumps to 75 cents per unit (blue segment).
So far the costs have been constant, but once we get to the red curve portion, then the costs decrease as x increases. Note that 1/(200,000) = 0.000005 which means the costs are decreasing by 0.000005 dollars per unit. Let's multiply that by 10,000 to get 10,000*0.000005 = 0.05
So for the red portion, the costs are decreasing by $0.05 per 10,000 units, or they are decreasing by 5 cents per 10,000 units. When x > 20000, the lowest we can get the cost is at 62 cents per unit. This is when production is at max capacity (42,000 units).
If you wanted the cost per unit to be as small as possible, and x didn't have to be larger than 20 thousand, then you'd stick to the green line. However, the drawback here is that you can only produce at max 8000 units.
Answer:
Person above was super helpful!
Step-by-step explanation:
Can someone tell me how to give the brainliest award out. You will get it if you answer first
Answer:
you click the crown :)
Step-by-step explanation:
hope this helps!
Answer:
Just click on the words "Award Brainliest" on top of the answer of a user to a certain question of yours.
Step-by-step explanation:
Convert 7 pounds 3 ounces to kilograms.
Conversion ratios:
1 lb = 16 OZ
1 kg = 2.2 lb
Answer:
3.3
Step-by-step explanation:
7lb 3oz
3oz/16oz=.1875lb
7lb+.1875lb=7.1875lb
7.1875lb/2.2kg=3.27kg
PLease help!!!! NO LINKS!! Will mark brainliest for right answer!!
Which answer below represents the number of solutions the graph of a linear function and a quadratic function could have?
A) 2
B) 4
C) 5
D) 3
Answer:
b
it's b bbbbbbbbbbbbbb
Answer:
The answer would be A I believe
Step-by-step explanation:
: If Newton Manufacturers has an accounts receivable turnover of 4.8 times and net sales of $7,812,379, what would its receivables be?
Answer:
$1,627,579
Step-by-step explanation:
Given that
The account receivable turnover is 4.8 times
And, the net sales is $7,812,379
We need to find out the receivable
So as we know that
accounts receivable turnover = net sales ÷ average accounts receivables
Therefore the accounts receivables is
= ($7,812,379 ÷ 4.8)
= $1,627,578.96
= $1,627,579
Find the area of a regular polygon with 9 sides that has a side length of 12 inches and an apothem of 15 inches.
Answer:
An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:
A = (1/2)*(Perimeter)*(Apothem)
The perimeter of the regular polygon is just the length of one side multiplied with the number of sides. Since a polygon with 9 sides,
P = 9(15) = 135in
A = 1/2 ×135 × 12
A = 810 square inches ans
Suppose Xinwei want to put a fence around a rectangular field, where the width (w) is three times the length (l). Give an expression for the perimeter of the field in terms of its length (l).
Answer:
P = 8 l
Step-by-step explanation:
Let's consider a rectangular field with dimensions:
width (w)length (l)We know that the width (w) is three times the length (l), that is,
w = 3 l [1]
We can calculate the perimeter (P) of a rectangle using the following expression.
P = 2 l + 2 w [2]
If we replace [1] in [2], we get,
P = 2 l + 2 (3 l)
P = 2 l + 6 l
P = 8 l
Find the volume of a pyramid with a square base, where the side length of the base is 14.7 and the height of the pyramid is 17.2 in. Round your answer to the nearest tenth of a cubic inch.
Answer: 1238.916
Step-by-step explanation:
A = (Bh)/3
B = 14.7 x 14.7
The area of a pyramid is the formula at the top. B in the formula at the top is the Base. The reason it is capitalized is because B is also a formula. You need to find the area of the base of the pyramid and plug it into the equation. It this case, the base is equal to the second equation above.
What is the value of x when 1/3x = 9 1/2
I'll help.
[tex] \frac{1}{3}x = 9 \frac{1}{2} [/tex]
[tex]x = ?[/tex]
↓
[tex] \frac{1}{3} x = \frac{19}{2} [/tex]
[tex]x = \frac{57}{2} [/tex]
"How it can be 57 ?"
The number 19 is multiplied by the number 3 at the bottom left.
19 × 3 = 57.
Write the meaning of each algebraic expression. Then, evaluate the algebraic expression for the given value.
5x - 4 If x=3
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.
5x−4x=3
Step 1: Simplify both sides of the equation.
5x−4x=3
5x+−4x=3
(5x+−4x)=3(Combine Like Terms)
x=3
x=3
Answer:
x=3
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles and 3 green marbles. What is the probability that the selected marble is green.
A.3
D.1/9
B.1/2
C.1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Formula: Correct result / Total possible results
Plug it in: 3/9
Simplify: 1/3
Can someone help me?
Answer:
look at the explanations
Step-by-step explanation:
part a: the zeros are the two points on the x-axis
- looks like (0,10) and (0,60)
part b: the zeros represent her minimum profit where she makes 0 dollars
part c: the vertex is the very top of the parabola
- looks like (35, 12000)
part d: the vertex represents the max amount of profits she makes