Answer:
The number of green pens sold is 96.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A shop sells packs of black pens, packs of red pens and packs of green pens. There are:
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
The explanation of the answer is now given as follows:
Since the ratio is given in packs of pens, we have to first convert it to number of pens based on the number of pens in each pack. Therefore, we have:
7:3:4 is converted to (7 * 2) : (3 * 5) : (4 * 6) = 14 : 15 : 24
Based the new ratio, we have:
Weight of contribution of the green pens to the total number of pens sold = 24 / (14 + 15 + 24) = 24 / 53 = 0.452830188679245
The number of green pens sold can now be calculated as follows:
Number of green pens sold = Total pens sold * Weight of contribution of the green pens to the total number of pens sold = 212 * 0.452830188679245 = 96
Therefore, the number of green pens sold is 96.
PLZ HELP
Sales tax is 7%. If c represents the retail cost of an item, which of the following expressions represent(s) the total cost of the item?
0.93 c
c - 0.07 c
1.07 c
0.07 c
c + 0.07 c
Answer:
The total cost of an item can be calculated by adding the sales tax to the retail cost:
c + .07cStep-by-step explanation:
Given that c represents the retail cost of an item.Sales tax = 7%
= 7/100
= 0.07
Total cost of an iten can be calculated by adding the sales tax to the retail cost.
i.e. c + .07c
Therefore, the total cost of an item can be calculated by adding the sales tax to the retail cost:
c + .07craul drove 80 miles.this represent 50% of the entire trip what is the total number of miles on raul trip
Answer:
its 160 miles
1. Solve the system of equations.
2y - 3z=0
x+3y = -4
3x + 4y = 3
Answer:
1. y = 3/2z
Step-by-step explanation:
1. ,2y-3z + 3z =0 + 3z ,2y=3z, 2y/2 =3z/2=3/2z
is x=-2 linear or nonlinear
Answer:
non linear
Step-by-step explanation:
Answer: I'd say linear
Step-by-step explanation:Because it is a straight line vertically on the x-axis -2
What is the solution of the system of equations?
Help
Answer:
(0, 5)
Step-by-step explanation:
Write 1 390 000 in standard form.
Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep
Answer:
0.64, she spent 64% of her money.
Step-by-step explanation:
11) Stephanie makes $ 50 a week babysitting. She spends $ 25, saves $ 15, and uses the rest to pay off a $ 100 loan from her brother. After six weeks, how much has Stephanie spent, how much has she saved, and how much still owes her brother?
Answer:
She saved 90 dollars and she owes her brother 40 still.
Step-by-step explanation:
What is 1/6 divided by 6/7
7/36
[tex]\frac{1}{6} /\frac{6}{7}=\frac{1}{6}*\frac{7}{6}=\frac{7}{36}[/tex]
a student purchased 7 binders for a total of $8.61. Write an equation that can be used to find the cost of each binder,n, in dollars. What is the cost ,in dollars, of each binder?
Answer:
$1.23
Step-by-step explanation:
divide 8.61 by 7 binders to get the final answer of $1.23
PLZ HELP ASAP PLZ AWSER DONT SKIP PLZ ASAP
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious gravity that mimics gravity. The the device rotates according to the mathematical equation: n =g^0.5/2πr^0.5 Where n is the rotational speed and is measured in rotations per second (s). (r) is the radius of the circulator and is measured in meters (m). (g) is a simulation of gravity. Calculate the rotation speed of a device, that has a radius of 1.7 meters and rotates to simulate the gravitational force which equals to: g = 9.8 m/s^2 with steps please
Answer:
n = 0.38 rotation per second
Step-by-step explanation:
The device rotates according to the mathematical equation :
[tex]n=\dfrac{g^{0.5}}{2\pi r^{0.5}}[/tex] ...(1)
Where n is the rotational speed and is measured in rotations per second (s).
r is radius of the circulator and is measured in meters (m).
We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).
[tex]n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}[/tex]
Hence, the rotational speed is 0.38 rotation per second.
Compute the sum of the squares of the shorter lengths. Compute the sum of the squares of the shorter lengths. Compute the square of the longest length. Compute the square of the longest length. What kind of triangle is it? What kind of triangle is it? Acute triangle Acute triangle Right triangle Right triangle Obtuse triangle Obtuse triangle
The given triangle is a right triangle because it agrees Pythagoras theorem.
In the given triangle, the shorter lengths are 12 and 16.
The sum of square of shorter lengths:
[tex]= 12^2 + 16^2[/tex]
[tex]=144+256[/tex]
[tex]=400[/tex]
The longer length is 20.
Square of the longest length is [tex]20^2.[/tex]
[tex]20^2 = 20 \times 20[/tex]
=400
The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.
400 = 400
As this is agreeing Pythagoras theorem it is a right angle triangle.
Hence, option B is correct. right triangle.
To learn more on Triangles click:
https://brainly.com/question/2773823
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who plays forza horizon 3
Answer:
I recently got it on my xbox
Step-by-step explanation:
I usually play with the family my name on xbox is wood
Answer:
me
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
Pythagorean Theorem:
25^2=24^2+x
625=576+x^2
49=x^2
x=sqrt49
x=7
Hope this helps!
Merry Christmas!
Answer:
By using the Pythagorean theorem we can solve this
The Pythagorean theorem states that [tex]c^2=a^2+b^2[/tex] where c is the hypotenuse (longest side of the right triangle) and a and b are the other 2 sides. LEts use x to represent the missing side
Therefore,
[tex]25^2=24^2+x^2[/tex]
[tex]625=576+x^2[/tex]
[tex]625-576=576-576+x^2[/tex]
[tex]49=x^2[/tex]
[tex]x=7[/tex]
Step-by-step explanation:
Charlie, Henry, and Patrick went to the movies and each purchased 2
chocolate candy bars from concessions. Charlie ate
1/2 of a candy bar, Henry
ate 1 &
1/6 candy bars, and Patrick ate 1 & 3/4
candy bars.
How many candy bars did
the boys eat altogether? Select all the correct answers.
A. 3 & 5/12
B. 5 & 5/12
C. 41/12
D. 65/12
E. 2 & 5/12
Answer:
A
Step-by-step explanation:
Two sides of a triangle measure 8 ft and 12 ft, respectively. The included angle is 65˚. Approximately how long is the third side of the triangle?
Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = [tex]\sqrt{126.857}[/tex]
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
Express the following situation a a funstion: the population of a school is 800 and is decreasing at a rate of 2% per year
Answer:
400 is the answer
Step-by-step explanation: do the math
Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.
2 + y = 5
3x + 2y = 6
2x + y = 6
5x + 3y = 4
drag & drop the answer
-2
3
-3
0
2
2
9514 1404 393
Answer:
3, 0, 2, -2
Step-by-step explanation:
Put x=2 into each equation and solve for y.
2 + y = 5
y = 5 -2
y = 3
3x +2y = 6
3·2 +2y = 6
2y = 6 -6 = 0
y = 0
2x +y = 6
2·2 +y = 6
y = 6 -4
y = 2
5x +3y = 4
5·2 +3y = 4
3y = 4 -10 = -6
y = -2
Using the equation ŷ = 5.4 + 1.7x, what is the predicted value if x is 1.2?
3.36
−3.36
7.44
−7.44
−2.47
Answer:
Using the equation ŷ = 5.4 + 1.7x, we can say that if x is 1.2, the predicted value will be 7.44.
Step-by-step explanation:
y=5.4+1.7(1.2)
Multiply 1.7 and 1.2 to get 2.04.
y=5.4+2.04
Add 5.4 and 2.04 to get 7.44.
y=7.44
There you go!
(Sources cited from Microsoft Math Solver.)
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
What is the product of 7/10 and 3 2/3?
1 3/5
1 13/15
2 17/30
3 7/15
At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold: Number of hot dogs sold:
Answer: 132 hamburgers and 30 sodas
Step-by-step explanation:
x= Number of hamburgers
y= Number of sodas
1 x + 1 y = 102
1 x -1 y = 30
Eliminate y
Add the two equations
2 x = 132
/ 2
x = 66
plug value of x in (1)
1 x + 1 y = 102
132 + y = 102
y = 102 -132
y = 30
y = 30
x= 132 Number of hamburgers
y= 30 Number of sodas
Answer:
Hotdogs=36
Sodas=66
Step-by-step explanation:
X-Hotdogs
Y-Sodas
Y-30=X
Y+X=102
New equation: 102-X-30=X
Add X to both sides
102-30=2x
x=36
y=66
Juan needs to simplify the fraction LaTeX: \frac{32}{52}32 52. He will need to divide the numerator and the denominator by the greatest common factor. What is the greatest common factor of 32 and 52?
Answer:
4Step-by-step explanation:
Given the expression, 32/52
Juan need to divide the numerator and the denominator by the greatest common factor
For 32;
32 = 8 * 4
For 53
52 = 13 * 4
Find the ratio
32/52 = (8*4)/(13*4)
32/52 = 8/13
Since 4 is common to both factors, Hence the greatest common factor is 4
Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32F in Maine during the month of January is most likely true? Options: The probability is 100 | The probability is closer to 1 than to 0. The probability cannot be determined before Febuary The probability could be -1.
Answer:
can't help u..
Step-by-step explanation:
i am so sorry
xbxnxnxn
xnzjznzn
sjziaowoo1i3uo
PLZ MARK ME AS BRAINLIST
Which pair of triangles MUST be similar?
A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.
B. Triangles 1 and 2 each have a 40 degree angle.
C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.
Answer:
C
Step-by-step explanation:
The total measurement of a triangle is 180
Triangle 7 has a 40 degree angle and 35 degree angle.
40+35=75
180-75=105
Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8
Can someone please help with this question please I need help?!
Answer: B
Step-by-step explanation:
Each month, the person seems to grow taller. So, there IS a positive association between height and age.
can someone please help me it’s a quiz and idk what to do!!!! pls
Answer:
plot a point at (0,-8) and another one at (5,-7)
Step-by-step explanation:
connecting the dots would create the slope
After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the bucket to start?
Answer:
8 liters
Step-by-step explanation:
because after pouring 2 liters bucket was full so we wiil minus 2 from 10
Answer:
8 + x = 10
x. = 10 - 8
x. = 2 liters
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answer:
5,000
Step-by-step explanation:
no interest♀️