Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer if she randomly chooses a pen from her drawer what is the probability that she will choose a black pen
Answer: 3/11
Because there are 3 black pens and 5 blue and 6 red its 3 out of 11 so it should be 3/11 im not good at explaining just trust me
The probability that she will choose a black pen is 3/14.
Given,
Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer.
She randomly chooses a pen from her drawer.
We need to find out what is the probability that she will choose a black
pen.
What is probability?
The ratio of the number of required events to the number of possible
outcomes of the events.
Example: Tossing the head of a coin.
Number of heads in a coin = 1
Total possible outcome = {head, tail} = 2
P = 1 / 2
We use a combination if we have to select a number of events from total
items.
It is given by:
[tex]^nC_{r}[/tex] = n! / r! (n-r)!
r = required number of items.
n = total number of items.
Find the probability that she will choose a black pen.
Number of pens = 5 blue pens + 3 black pens + 6 red pens = 14 pens
Number of black pens = 3 pens
Probability
= [tex]^3C_{1}[/tex] / [tex]^{14}C_{1}[/tex]
= (3! / 2! ) / ( 14! / 13! )
= 3 / 14
Thus the probability that she will choose a black pen is 3/14.
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Is 2 * 17 5/6 greater than or less than 36? Explain
Final answer:
The multiplication of 2 by 17 5/6 results in 214/6, which is less than 36 when compared as fractions (since 36 is 216/6). Therefore, 2 * 17 5/6 is less than 36.
Explanation:
The student asked if 2 * 17 5/6 is greater than or less than 36. To solve this, first convert 17 5/6 to an improper fraction which is (17 * 6) + 5 = 107/6. Then multiply by 2 to get:
2 * (107/6) = 214/6
To compare it to 36, you can convert 36 into a fraction with the same denominator, which would be:
36 = 216/6
Now you can see clearly:
214/6 is less than 216/6 which means that 2 * 17 5/6 is less than 36.
So, 2 * 17 5/6 is not greater than 36; it's a bit smaller than 36.
“35 more than .8 times a number is the same as 43 less than the product of -7 and the number.”
Please help and show the work :) I’m super lost.
Final answer:
To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as 0.8x + 35 = -7x - 43. Solving for 'x', we find that the number is -10.
Explanation:
To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as:
0.8x + 35 = -7x - 43
To solve for 'x', we need to isolate it on one side of the equation. Let's start by moving the '-7x' term to the left side:
0.8x + 7x = -43 - 35
Combining the 'x' terms and simplifying the right side:
7.8x = -78
Dividing both sides by 7.8:
x = -10
Therefore, the number is -10.
Final answer:
The detailed answer explains how to solve an equation where 35 more than .8 times a number is equal to 43 less than the product of -7 and the number.
Explanation:
The question given is: 35 more than .8 times a number is the same as 43 less than the product of -7 and the number.
To solve this equation step by step:
Let the number be x.
Translate the given sentence into an equation: 0.8x + 35 = -7x - 43.
Solve for x by bringing all x terms to one side and the constants to the other side.
Finally, x = -5.
prime numbers between 15 and 24
Answer:
The prime numbers between 15 and 24 are 17, 19, and 23.
sandra raised 15 dollars for pta and nita raised 45 dollars how many times as much money did nita raise as compared to sandra
Answer:
3 times (3x)
Step-by-step explanation:
Sandra raised 15 dollars.
Nita raised 45
45 divided by 15 is 3
3 * 15 = 45
Final answer:
To find out how many times more money Nita raised compared to Sandra, divide Nita's amount ($45) by Sandra's amount ($15) to get a factor of 3. Thus, Nita raised three times as much money as Sandra.
Explanation:
The question asks us to calculate how many times more money Nita raised compared to Sandra. Since Sandra raised $15 and Nita raised $45, we can find the multiplicative factor by dividing the amount Nita raised by the amount Sandra raised.
To find out how many times the money raised by Nita compares to that of Sandra, we can use the formula:
Multiplier = Nita's Amount / Sandra's Amount
Multiplier = $45 / $15
Multiplier = 3
So, Nita raised three times as much money as Sandra did for the PTA.
Solve for x. 2x-4/5 =x+4
Answer:
Your answer is 24/5 or 4.8
Step-by-step explanation:
Start with the given:
2x - 4/5 = x + 4
Use the Addition Property of Equality (add 4/5 to both sides)
2x = x + 4 + 4/5
Subtraction Property of Equality (subtract x from both sides)
2x - x = 4 + 4/5
Combine Like Terms on both sides
x = 24/5
(IF you need a decimal) Divide
x = 4.8
Hope this helps.
-Que
Evaluate. Write your answer as a fraction in simplest form. 1 5/9÷(−2/3)+(−2 3/5)
To solve the expression, remember the order of operations: convert mixed numbers to improper fractions, perform division by flipping the divisor and multiplying, then add the fractions using the least common denominator. The result is -74/15.
Explanation:To solve this kind of mathematical expression in the correct order, we need to remember PEMDAS principle (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, convert the mixed numbers into improper fractions. To convert 1 5/9 to an improper fraction, multiply the denominator by the whole number and add the numerator. This gives, 1 5/9 = 9*1+5/9 = 14/9. Similarly, -2 3/5 = -5*2+3/-5 = -13/5.Next, divide 14/9 by -2/3. Dividing fractions involves flipping the divisor and multiplying. So, 14/9 ÷ -2/3 becomes 14/9 × -3/2 = -42/18, which reduces to -7/3 in its simplest form.Finally, add -7/3 to -13/5. When adding fractions, first find the least common denominator (LCD), which in this case would be 15. -7/3 is -35/15 and -13/5 is -39/15. Adding these two together gives -74/15.So, 1 5/9÷(−2/3)+(−2 3/5) = -74/15 in simplest form.
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The simplified result is −74/15. Convert mixed numbers to improper fractions, perform division by multiplying by the reciprocal, and add the fractions.
To evaluate the expression [tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex] , follow these steps:
Convert mixed numbers to improper fractions:
[tex]{1 \, \frac{5}{9}[/tex] = [tex]\frac{14}{9}[/tex][tex]{-\frac{2}{3}[/tex] = [tex]-\frac{13}{5}[/tex]Change the division to multiplication by the reciprocal:
[tex]\[ \left(\frac{14}{9}\right) \div \left(-\frac{2}{3}\right) = \left(\frac{14}{9}\right) \times \left(-\frac{3}{2}\right) = -\frac{42}{18} = -\frac{21}{9} = -\frac{7}{3} \][/tex]Now, add the fractions:
[tex]\[ -\frac{7}{3} + \left(-\frac{13}{5}\right) = \left(-\frac{7}{3} \times \frac{5}{5}\right) + \left(-\frac{13}{5} \times \frac{3}{3}\right) = -\frac{35}{15} - \frac{39}{15} = -\frac{74}{15} \][/tex]Final answer is :
−74/15First convert mixed numbers to improper fractions, then perform division by multiplying by the reciprocal, and finally add the fractions together. This gives the final simplified result of −74/15.
Corrected question:
Evaluate. Write your answer as a fraction in simplest form.
[tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex]
-65.376=7.2(9c+1) solve the equation
Answer:
c= -1.12
Step-by-step explanation:
31pts!! simplify the following expression. 5^-5/2 • 5^9/2
A. 625
B. 25
C. 1/25
D. 5
Answer: 25
Step-by-step explanation:
Since the exponents have the same denominator, you multiply the coefficients. In this case you multiply 5 times 5.
What is 19.2 * 10^8 minutes in hours? Written in scientific notation form?
(3x2 + 5x + 9)(6x - 8)
Step-by-step explanation:
(3x2 + 5x + 9)(6x - 8)
6x(3x2 + 5x + 9) - 8(3x2 + 5x + 9)
18x^3 + 30x^2 + 54 - 24x^2 - 40x - 72
18x^3 + 54x^2 -72 - 40x + 54
18x^3 + 54x^2 - 40x - 18
Answer:
18x3 + 6x2 + 14x – 72
Step-by-step explanation:
8-3x=17 solve for x and check your answer.
Answer:
x = 3
Step-by-step explanation:
8 - 3x = 17
You have to switch the 8 to the other side. To do this, you would have to move it after the 17 and add a minus to it, making it a -8 (this is because when a number is switched to the other side of the '=' sign, the number gets 'mirrored' aka positive numbers become negative and negative numbers become positive).
3x = 17 - 8
3x = 9
Now you have to do the same thing you did with 8 but instead you have to do it with 3. Since 3 has an invisble 'times sign' by it, the number after the equals will be divided by 3 in this case so...
x = 9 ÷ 3
x = 3
Answer: -3
Step-by-step explanation:
8-3x=17
-8 on both side to cancel it out
-3x=9
divide -3 on both sides
which would equal to -3
To check
8-3(-3)=17
8+9=17
17=17
Please work out question number 12 with working and answer. I'm stuck help please.
Answer:
£40
Step-by-step explanation:
Sum the parts of the ratio 5 + 1 = 6 parts
Divide £48 by 6 to find the value of one part of the ratio
£48 ÷ 6 = £8 ← value of 1 part of the ratio
Thus the larger part of the ratio is
5 × £8 = £40
Find the product of 11 and -2
Answer:
-22
Step-by-step explanation:
When multiplying a negative number with a positive number, the answer will always be negative.
Answer:
Step-by-step explanation: Try drawing a number line with negative and positive numbers that go up to at least 11 and subtract 9 to the left where you negatives are and you'll get your answer!
Enzo’s profit over the last few months has been falling. In December he made $900, in January his profit was $500, and in March, he lost $300. Is the sequence that represents his profit arithmetic? If it is, what is the recursive formula for the sequence?
Answer:
See explanation
Step-by-step explanation:
Enzo’s profit over the last few months:
In December, he made profit $900;In January, his his profit was $500; In February - unknown;In March, his loss was $300.Find the difference between given data
Dec - Jan [tex]\$900-\$500=\$400[/tex]
Jan - Feb [tex]\$500-\$x[/tex]
Feb - Mar [tex]\$x-(-\$300)=\$x+\$300[/tex]
If this sequence is arithmetic, then
[tex]\$500-\$x=\$x+\$300=\$400\\ \\\$x=\$100[/tex]
So, if the profit in February was $100, then this sequence is arithmetic sequence. In this case,
[tex]a_1=900\\ \\a_2=500\\ \\a_3=100\\ \\a_4=-300\\ \\...\\ \\d=-400[/tex]
The recursive formula is
[tex]a_n=a_{n-1}-400[/tex]
What are the answers to this? PLEASE HELP.
Answer:
Ray : Line NA, Line NB, Line AB
Vertex : Vertex N
Angle: Angle ANB
Parallel Lines: None
Coplanar Points: Points C, A, F, N, B
Collinear Points: Points A, N, B
Segment Addition Postulate: AN + NB = AB
Perpendicular Lines: None
3x+2A=2h solve for x
Answer:
x = (2/3)h - (2/3)A
Step-by-step explanation:
You are solving for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS. Solve:
First, subtract 2A from both sides:
3x + 2A = 2h
3x + 2A (-2A) = 2h (-2A)
3x = 2h (-2A)
3x = 2h - 2A
Isolate the variable, x. Divide 3 from both sides.
(3x)/3 = (2h - 2A)/3
x = (2h - 2A)/3
x = (2/3)h - (2/3)A is your answer.
~
Answer:
x=2h-2A/3
Step-by-step explanation:
it's done by making x the subject in the relation
maintain the 2h and move the 2A to the right side of the equation.making it 3x=2h-2Amaking x the subject by dividing through by 3x=2h-2A/3What is 1,424,000,000 in scientific notation
1424000000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred fifty-four divisors.-by-step explanation:
1.424 × 10 to the ninth power
What is the solution to 5x−2=13 ? Plot the solution on the number line.
Answer:
x= 3
Step-by-step explanation:
5x-2=13 - Add 2 to both sides which cancels out the -2 and turns 13 into 15
5x=15 - Divide 5 on both sides which cancels the 5 and leaves x=3
x=3 - Is the final answer or the solution to the problem
Final answer:
The solution to the equation 5x - 2 = 13 is x = 3. To plot this on the number line, mark a point above the horizontal line at the position corresponding to 3.
Explanation:
The solution to the equation 5x - 2 = 13 is found by first adding 2 to both sides of the equation, giving us 5x = 15. We then divide both sides by 5 to isolate x, which gives us x = 3. Therefore, the solution to the equation is x = 3.
To plot the solution on the number line, we draw a horizontal line and mark off points at equal distances. We locate the point corresponding to 3 and draw a dot or vertical line at that point, above the horizontal line because it is a positive number.
Please help
Put these numbers lowest to greatest -7 /34, -7.5, -7.05, -7.9
Least to Greatest:
-7.9, -7.5, -7.05, -7/34
I need help with this problem
Answer:
(A)
Step-by-step explanation:
I good way to solve this is to test out each answer. We can do this by setting it equal to the expression given in the question.
Let start with (A). If [tex]x + 2y + x + 2[/tex] is equivalent to (A) then we can say
[tex]x + 2y + x + 2 = 2(x+y+1)[/tex]
And we can combine the two [tex]x[/tex]'s on the left side to make.
[tex]2x + 2y + 2 = 2(x+y +1)[/tex]
Now by expanding the right side we get
[tex]2x + 2y + 2 = 2x + 2y + 2[/tex]
which is the same thing so there are both equal!
Now lets test (B). We start off by doing the same thing as (A) except with the equation for (B)
[tex]2x + 2y + 2 = 2x + 4y + 4[/tex]
Now this doesn't look quite right, on the left side we have two [tex]y[/tex]'s but on the right we have four. This means our equation is unbalanced which means they are unequal! So it can't be (B)
So the only correct answer is (A)!
Hope this helps!
if there’s two answers on this question, i’ll give whoever said it best & got the right answer brainliest✔
Hello!
The key word in this is After walking 5 steps forward, Julie walked 5 steps backward
So, she walked forward 5 steps, then walked back the same steps, returning her to her starting position.
your answer is the second graph.
This graph shows what i explained: she starts at 0. goes forward 5, then back 5, returning her to 0.
I hope this helps, and have a nice day!
B
it goes forward, then back
the difference of twelve times a number and nine times the number
Answer:
3 times a number (3x)
Step-by-step explanation: replace the phrase 'a number' with the variable X. then you simply end up with 12x-9x, which equals 3x.
The difference between twelve times a number and nine times the number will be three times a number.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the difference between twelve times a number and nine times the number.
Let the number be x now the mathematical expression of the number is:-
12x - 9 x = 3x
Therefore, the difference between twelve times a number and nine times the number will be three times a number.
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Expand (3x+8)^2
If necessary, combine like terms
Answer:
9x^2+48x+64
Step-by-step explanation:
5 dollars for 3 cans of tuna? What’s the rate?
Answer:
one can of tuna is 1.66666666667$
Step-by-step explanation:
what is the value of x+(-x)
Answer: 0
Step-by-step explanation: so lets say that x is 4 so 4 + - 4 is 0
Solve for X if possible. 4x-2+x = 2x+8+3x
Answer:
No solution/ Not possible
Step-by-step explanation:
Let's write out the equation
4x-2+x= 2x+8+3x
First thing we should do is look and see if there are any like terms that we can combine
4x+x-2=2x+3x+8
5x-2=5x+8
Then we want to get x on one side
By adding 2 to both sides
5x=5x+10
0=10
This is false, so the answer to this is No solution
One medium circle and one small circle touch each other, and each circle touches the larger circle.
Which is the area of the shaded region?
A.72 π square centimeters
B. 97 π square centimeters
C. 26 π square centimeters
D. 169 π square centimeters
Answer:
The area of shaded is 72π cm² ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- The area of any circle is A = πr², where r is the radius of the circle
- The length of the radius of a circle is 1/2 the length of its diameter
- From the figure:
∵ There are two inscribed circles touch the larger circle internally
and touch each other externally
∴ The centers of the three circles are collinear
∴ The diameter of the larger circle = the sum of the diameters of
the two inscribed circles
∵ The radii of the inscribed circles are 4 cm and 9 cm
∵ The diameter = twice the radius
∴ The diameters of the inscribed circles are 2 × 4 = 8 cm and
2 × 9 = 18 cm
∴ The diameter of the larger circle = 8 + 18 = 26 cm
∵ The radius of the circle = 1/2 diameter
∴ The radius of the larger circle = 1/2 × 26 = 13 cm
- The area of the shaded part is the difference between the
area of the larger circle and the sum of the areas of the two
inscribed circles
∵ A = πr²
∴ The area of the larger circle = π(13)² = 169π
∵ The sum of areas of the inscribed circles = π(4)² + π(9)²
∴ The sum of areas of 2 circles =16π + 81π = 97π
∵ Area of shaded = A larger circle - sum of A of 2 circles
∴ Area of shaded = 169π - 97π = 72π
* The area of shaded is 72π cm²
Without the radii of the three circles and their positions, we cannot calculate the exact area of the shaded region. Generally, the area of a circle is calculated using the formula A = πr².
Explanation:Since the question doesn't provide specific measurements for the medium circle or the small circle, or their respective positions within the larger circle, it's not possible to determine the precise area of the shaded region. We would need at least the radii of the three circles and their relative positions to calculate the exact area of the shaded part.
However, in general, to find the area of a circle, we use the formula A = πr², where 'r' stands for radius.
If we had the respective radii, to calculate the shaded area, you would have to subtract the combined areas of the medium and small circles from the area of the larger circle.
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BRAINLIEST PLEASE HELP <3
Answer:
10(2x22) is not an example of distributive property. That would equal 10x44 not 12x22
Answer:
C does not mean 12 x 22 as you do what is inside the brackets first and this would mean it is 2.22 x 10
Step-by-step explanation:
10(1 – 2y) = -5(2Y - 1)
Answer:
y =1/2
Step-by-step explanation:
solve for ; y
10(1 – 2y) = -5(2Y - 1)
-10(2y-1) +5(2Y - 1) =0
(2y-1)(-10+5) = 0
-5(2y-1) =0
2y-1=0
y = 1/2
Answer:
y = 1/2
Step-by-step explanation:
1) 10(1 - 2y) = -5(2y - 1)
Multiply 10 into the parentheses, then multiply -5 into the parentheses.2) 10 - 20y = -10y + 5
Remember, double negatives when multiplying make positive numbersNext, switch -10y with 5 so you'll have like terms on each side.3) 10y - 20y = -10 + 5
When you switch terms, you change the signs of them to either negative/positive. Now, subtract 10y - 20y & add -10 & 5 together.4) -10y = -5
Divide -10 into -5.5) y = -5/-10
What is present above is not the correct answer. You must simplify the fraction, & make the fraction a positive one.6) y = 1/2
Now you have your answer. 10(1 - 2y) = -5(2y -1) is 1/2 or 0.5
Here's how to check your answer.
10(1 - 2(1/2)) = -5(2(1/2) - 1)
10(1 - 1) = -5(1 - 1)
2 times 1/2 equals 2/2, which would then be revised to 1.10(0) = -5(0)
0=0