Ms. Stephanie bought a package of pens. Out of every 10 pens, 1 are black. If there are 30 pens in
the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are
black?
What fraction of the pens in the pack is black?
Answer:
1/10. 10% Since there are 30 pens, there are 3 black ones.
Answer:
The fraction of the black pens in the pack is [tex]\frac{3}{30}[/tex]
The percent of the black pens in the pack is 10%
Step-by-step explanation:
If 1/10 pens are black, we can use this same proportion to find how many black pens will be in the pack of 30.
Using this, there will be 3/30 pens that will be black, since 3/30 is equivalent to 1/10 when reduced.
So, the fraction of the black pens in the pack is [tex]\frac{3}{30}[/tex]
To find the percent, divide 3 by 30:
3/30
= 0.1 (10 percent)
So, the percent of the black pens in the pack is 10%
Can someone please answer this Please
mike can walk 128 km in 16 hours. what distance can he walk in 3 hours
Answer:
24
128 divided by 16 is 8
8 x 3 = 24
Step-by-step explanation:
How many have more than one quart of water?
Answer:
I think 3 have more, but I am not 100 percent
Use the given cost table for the same product from two different companies to create a linear system.
Then solve the system to determine when the cost of the product will be the same and what the price will
be.
Two online retailers sell organic vanilla extract by the ounce using the following pricing chart.
Answer:
c(n) = 2.25n + 4
g(n) = 2n + 6
Solve:
[tex]g(n) = c(n)[/tex]
so:
[tex]2n + 6 = 2.25n + 4\\2 = 0.25n\\n = 8[/tex]
plug this in:
[tex]g(n) = 2n + 6\\g(n) = 2 * 8 + 6\\g(n) = 16 + 6 = 22[/tex]
Both Chef Mate and Grocery Gourmet charge $22 for 8 ounces of vanilla extract.
"A candy store sells different types of candy in paper pyramids. The medium-sized pyramid has a base length of 5 inches and a base width of 3 inches. The height of the paper container is 8 1/2 inches. what is the volume of the pyramid, measured to the nearest 10th of the cubic inch?" Please help!
Answer:
088y765
Step-by-step explanation:
Is -9,-5,-1,3,7, arithmetic,geometric or neither?
Answer:
Arithmetic.
Step-by-step explanation:
Geometric sequences have common ratios. Arithmetic sequences have common differences.
Answer:
Below.
Step-by-step explanation:
Try subtracting the terms to see if its arithmetic:
-5 - -9 = 4
-1 - -5 = 4
3 - -1 = 4
7 - 3 = 4
The common difference is 4 so its arithmetic.
true or false statement?
-16 > -f , if f = 15
Can someone help me plz
Answer:
easy
x=4 y=7 or
x=4 y=-1
Step-by-step explanation:
x=4 y=7 or
x=4 y=-1
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 20 cm?
Answer:
20 cm
Step-by-step explanation:
When you add the lengths of any two sides in a triangle, it has to be greater than the length of the third side.
So...
14 + 7 > side 3
14 + 7 > 22 is false
14 + 7 > 20 is true
Vocabulary How are complementary angles and supplementary angles alike? How are they different? Use the drop-down menus to explain your answer.
Choose...(Both types of angles, Complementary angles, supplementary angles)
are pairs of angles whose measures have specific sums.
Choose...(Both types of angles, Complementary angles, supplementary angles)
have a sum of 90°.
Choose...(Both types of angles, Complementary angles, supplementary angles))
have a sum of 180°.
Answer:
Both types of angles, complementary angles, supplementary angles.
Step-by-step explanation:
Hope this helps
Both types of angles, Complementary angles, supplementary angles are pairs of angles whose measures have specific sums. Therefore, option A is the correct answer.
What are complementary angles?Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).
Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.
Therefore, option A is the correct answer.
To learn more about the complementary angles visit:
https://brainly.com/question/5708372.
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Marty is at the clothing store and sees that the shirt he wants is 15% off. He knows he can use the expression c - 0.15c, where c is the cost of the shirt, to find the discounted cost of the shirt before tax. Determine if the expression below is equivalent to c - 0.15c..
Answer:
Kindly check explanation
Step-by-step explanation:
The equation for the discounted cost :
c - 0.15c
Initial cost = c
Discount percent = 15% = 15/100 = 0.15
Discount on sale = 0.15 * c = 0.15c
Hence,
Discounted price = initial price - discount on sale
Discounted price = c - 0.15c
c - 0.15c = 0.85c
Charlie works in a beauty salon. He has three appointments today. The time needed for each appointment is • Mrs Green (11 2 hours) • Ms Price (1 hour 20 minutes) • Sam (3 1 4 hours). He will have a 45 minute break. Charlie will start work at 9:15 am He wants to finish work by 4:30pm Will Charlie finish work by 4:30 pm?
Answer:
no
Step-by-step explanation:
Please help me with this!!!
Answer:
x = 3 and y = 8
Step-by-step explanation:
The Opposite sides of a parallelogram are equal and parallel. It means,
[tex]\dfrac{y}{2}=4\\\\y=8[/tex]
Also,
5x - 6 = 3x
Taking like terms together,
5x -3x = 6
2x = 6
x = 3
So, the values of x and y are 3 and 8 respectively.
what does 5/8 plus 3/4 equal
Answer:
1 3/8
Step-by-step explanation:
Erin loves to play sports! She has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.
Answer: R = 3/7
Step-by-step explanation:
The complete question is:
Erin loves to play sports! She has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.
What is the ratio of Erin's tennis trophies to soccer trophies?
This is simply the quotient between the number of tennis trophies and the number of soccer trophies.
She has 3 tennis trophies and 7 soccer trophies, then the ratio is:
R = 3/7
factor 5x2+6x+1 and 2x2+3x2-5 using borrow payback method
Answer:
not sure
Step-by-step explanation:
HELP what is the coefficient of 14x?
multiplication
14
14x
x
Coefficient of 14x is 14
Coefficientis the number in front of the letter. For example, coeffient of 2b is 2. When there is no number in front of the letter the coefficient is 1.
Help with my algebra 1 homework please, thanks
5) Answer:
[tex]2b^{2} c[/tex]
6) Answer:
[tex]4x^{6} [/tex]
The answer for the first equation is option C. And option A is the answer for the second equation.
What is the length of the curve with parametric equations x = t - cos(t), y = 1 - sin(t) from t = 0 to t = π? (5 points)
A) 8
B) 4 times the square root of 2
C) 4
D) 8 times the square root of 2
Answer:
B) 4√2
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Parametric Differentiation
Integration
IntegralsDefinite IntegralsIntegration Constant CArc Length Formula [Parametric]: [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[x'(t)]^2 + [y(t)]^2}} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \left \{ {{x = t - cos(t)} \atop {y = 1 - sin(t)}} \right.[/tex]
Interval [0, π]
Step 2: Find Arc Length
[Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]: [tex]\displaystyle \left \{ {{x' = 1 + sin(t)} \atop {y' = -cos(t)}} \right.[/tex]Substitute in variables [Arc Length Formula - Parametric]: [tex]\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{[1 + sin(t)]^2 + [-cos(t)]^2}} \, dx[/tex][Integrand] Simplify: [tex]\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx[/tex][Integral] Evaluate: [tex]\displaystyle AL = \int\limits^{\pi}_0 {\sqrt{2[sin(x) + 1]} \, dx = 4\sqrt{2}[/tex]Topic: AP Calculus BC (Calculus I + II)
Unit: Parametric Integration
Book: College Calculus 10e
Please help
With this math
I need help! this is due today!
Answer:
4. 61
5. approximately 43
6. 120
Step-by-step explanation:
4. 80 + 39 = 119
180 - 119 = 61
5. 7x - 10 = 90
+10 +10
7x = 100
divide by 7
x = 14.3
3 times 14.3 = 42.9
6. 70 + 50 = 120
180 - 120 = 60
180 - 60 = 120
solve and get brainliest!!
Answer:
$477
Step-by-step explanation:
Net Price:$ 450.00
+ Sales Tax (6%):$ 27.00
Total Price:$ 477.00
Answer:
642 right??
Step-by-step explanation:
Was this the answer you were looking for?
Consider the first five steps of the derivation of the Quadratic Formula.
What is the next step?
(See the photo)
Answer:
B
Step-by-step explanation:
some people can't understand lafossefams joke
The method of completing the squares method will be used for the next step. The next step would be ( x+ (b/2a) )^2 = -c/a + b^2/(4a^2)
What is the expansion of square of sum of two terms?Suppose that two terms are 'a' and 'b'.
Then, their sum's square is expanded as:
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
For this case, we're given the quadratic equation with its 4 steps of solution as:
[tex]ax^2 + bx + c = 0\\\\\dfrac{ax^2}{a} + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} = -\dfrac{c}{a}\\\\x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = -\dfrac{c}{a} + \dfrac{b^2}{4a^2}[/tex]
We've to proceed to the next step.
In the left hand side, we can use the formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex], where [tex]\rm a \: is \: x^2, and \: b \: is \: \dfrac{b}{2a}[/tex]
Thus, we have:
[tex]x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = x^2 + 2 \times x \times \dfrac{b}{2a} + \left(\dfrac{b}{2a} \right)^2 = \left( x + \dfrac{b}{2a} \right)^2[/tex]
We expressed the left sided expression in this form so that the variable 'x' (which is assuminly the only variable in the equation, whose value is to be known) gets packed into single container and not spread throughout with different powers.
Now, we can use square root and then subtraction and division of some terms which will make 'x' stay on one side of the equation, and rest of the constants on other side, as the value of 'x' for which the considered equation [tex]ax^2 + bx + c = 0[/tex] is correct.
The next step of the solution, therefore, is:
[tex]\left( x + \dfrac{b}{2a} \right)^2 = \dfrac{-c}{a} + \dfrac{b^2}{4a^2}[/tex]
Learn more about completing the squares method here:
https://brainly.com/question/16800259
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The ratio of the number of boys to the number of girls in a certain class is 8:5. if the number of boys in that class is 52 students . find the number of girls?
NO ONE CAN ANSWER THIS HIGH POINT YOU WILL GET
Answer:
26 approx answer
Step-by-step explanation:
thanks give me high points
Step-by-step explanation:
the answer 26 approx answer.
Find the value of x. Round to the nearest degree.
21
10
15
Answer:
556 degrees i think
Step-by-step explanation:
Determine if line AB is tangent to the circle. Type
your answer below and EXPLAIN HOW YOU KNOW.
This should be a full sentence using the vocabulary
we have discussed.
Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
The perimeter of a square is 120 inches what is its area
Answer:
A = 900in²
Perimeter 120in
Using the formulas
A = a²
P = 4a
Step-by-step explanation:
Solving for A:
A = 1/16 P² = 1/16 · 120² = 900in²
Answer:
900in^2
Step-by-step explanation:
120 divided by 4 because there are 4 sides
120÷4=30
Area= 30x30
= 900in^2
Ms. Bobb needs to order more notebooks. Office Max charges $42 for 12 notebooks. Staples charges $60 for 15 notebooks. Which store has a better deal? Explain.
Answer:
Office Max
Step-by-step explanation:
Office Max charges $3.50 for each notebook. Staples charges $4 for each notebook. You can achieve this answer by dividing cost by the number of notebooks.
PLEASE HELP! Yes or no answer on the graph
Answer:
They are all yes
Step-by-step explanation:
They are all linear
Answer:
the one with a blue line and dots
Step-by-step explanation:
Please Help ASAP!!! 24-28 Thanks!
Answer:
C - A -B - C -A
Step-by-step explanation: