A student draws a card at random from the
cards shown. Without replacing the card,
1
he draws a second card.
E
P
E
N
D
E
N
T
E
V
E
N
T
S
What is the probability that the student will
draw two consonants?
A
3
7
с
2
91
N
WN ON
B
1
35
===============================================
Explanation:
We have a 5 by 3 grid of letters. There are 5*3 = 15 letters total.
Of that total, there are 5 vowels (2 'e's in row 1, 2 'e's in row 2, and 1 'e' in row 3)
So there are 15-5 = 10 consonants.
The probability of pulling out a consonant is 10/15 = 2/3
After selecting that consonant, we have 10-1 = 9 consonants left out of 15-1 = 14 letters total.
The probability of selecting a second consonant, after not replacing the first selection, is 9/14.
Multiply the two fractions found:
(2/3)*(9/14) = (2*9)/(3*14) = 18/42 = 3/7
To reduce 18/42, we divide both parts by the GCF 6, which is how we end up with 3/7.
Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement.
Answer: 38 and 40 are both even numbers.
even numbers cannot be prime numbers; as they have their own factors.
prime numbers only have two factors: the number 1 and the number itself.
example: 17 is a prime number. the only factors it has is 1 and 17.
38 and 40 are both divisible by 2, so they have more than two factors:
38 = 1 * 38, 2 * 19
40 = 1 * 40, 2 * 20, 4 * 10, 4 * 5
therefore, they are not relatively prime, or prime at all; they are even numbers.
Answer:
they are not because 40 has more that 1 factor it has more than 2 which makes it composite 38 on the other hand is relatively prime it only has 2 factors
Step-by-step explanation:
Justin and his friend Dan went to the movies. If they each bought popcorn for $4.25 and a soda for $2.25, what was their total bill after adding 5 ¼ % sales tax?
Answer:$6.84
Step-by-step explanation:
$4.25 + $2.25 = $6.50
5 1/4% in decimal form is 5.25%
6.50 multiplied by 5.25% = $0.34
$6.50 + $0.34 = $6.84
-9+4(f-1)=-13+4f. Find f
Answer:all real numbers are solutions
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 4f from both sides.
Step 3: Add 13 to both sides.
0=0
Answer:
all could be
f(0)=.12
f(.1)=-.4
f(.2)=1.3
f(.3)=2.6
f(.4)=3.7
Step-by-step explanation:
Please no wrong answers
John bought 6 dumplings for $3.00.
Let x represent the number of dumplings purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
Answer:
R.s:$0.5
Step-by-step explanation:
Let x be the n.o of dumplings and y be the total cost of it
or,x=y
or,6=$3.00
=3.00÷6
=$0.5,,
What is the probability of rolling a number less than 6 on a number cube labeled 1 through 6?
A. Likely
B. unlikely
C. as likely as not
D. impossible
F. certain
Answer:
A. likely
Step-by-step explanation:
There are 6 outcomes 1, 2, 3, 4, 5 and 6.
Numbers less than 6 are 1, 2, 3, 4 and 5.
So the chance to roll a number less than 6 is 5/6, which has a probability of likely as there are more chances to roll a number less than 6
For every 3 packages that Marcella wraps, she uses 1/2 of a roll of wrapping paper.
If she uses 2 1/2 rolls of wrapping paper, how many packages has she wrapped?
helppppp
Answer:
She has wrapped 15 packages.
Step-by-step explanation:
Heres how I did it. I used my fingers for this, it's a little odd I know but it works. I put up one finger for each half. So each finger represents one half. I needed to get to 2 1/2 so I put up two finger and I said "that's one " because a half plus a half is a whole or just one. Then I put up one more finger and I said " That's one and a half". I then put up two more and then I had 2 1/5. What I did then was count how many fingers I had up. I had 5 fingers up. So then I multiplied 3 x 5 and that gave me 15. Hope I could help!
can somebody give me a ratio problem for 1:4 (for example For every batch of cookies Eva makes she needs 4 tablespoons of butter) I need a ratio problem like that for 1:4
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 70 pounds. A total of 22 boxes of paper were shipped weighing 1260 pounds altogether. Graphically solve a system of equations in order to determine the number of small boxes shipped, x, and the number of large boxes shipped, y.
Answer:
Step-by-step explanation:
please solve and explain, thanks!! :))
Answer:
B
Step-by-step explanation:
Its B because you distribute each term inside the parenthesis by the number out side
4×2x= 8x
4×3= 12
Get rid of the parenthesis after distributing
which makes 8x+12
Answer:
B. 8x + 12
Step-by-step explanation:
First you'd start with the parentheses because of PEDMAS. But because you can't do anything in there, you go to multiplying 4 by each item inside the parentheses. 4x2x gives 8x. 4x3 gives 12. Leaving you with 8x+12. Hope that helps! :)
Find the whole number equal to the fraction shown,
6\3
A.) 6
B.) 2
C.) 1
D.) 3
Answer:
2
Step-by-step explanation:
just divide it and you get 2. i hope i helped
B. Juan’s cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does Juan send in a month if his bill was $52?
1. Define the variable: 2. Determine the constant:$35
3. What is the rate? 4. Write the equation and solve: 35+0.50t=52
C. Friendship’s soccer team purchased uniforms and equipment for a total cost of $912. The equipment cost $612, and the uniforms cost $25 each. How many uniforms did the school purchase?
1. Define the variable: 2. Determine the constant:
3. What is the rate: 4. Write the equation and solve:
D. Long’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month, Jalissa spent $26.95 on a mug and refills. How many refills did she buy?
Write the equation and solve:
C. Because that is the answer my guy.
NEED ANSWERS ASAP 10 QUESTIONS IF RIGHT WILL GIVE BRAINLIEST
whats , 3(a+b)+2b / please help I will give you 10 points
3a+3b+2b=3a+5b
solve for a: a=-5b/3
solve for b: b=-3a/5
Answer:
3a+5b
Step-by-step explanation:
3(a+b+)2b
the first thing you'd do would be distribute 3 to a and b
3a+3b+2b
you then would combine like terms which are 3b and 2b
3a+5b
I HATE word problems can you do this?
Answer:
Joshua started the week with $25
Step-by-step explanation:
He spent $3 every day during the school week = $15
He bought a ticket for the school play = $5
he loaned money to his friend = $2
He had money left in his wallet = $3
15 + 5 + 2 + 3 = 25
- Sorry if my explanation does not make sense I tried my best to write it in English.
Please answer this. Thankyou!
Jada is making pink paint by mixing 3.5 quarts of red paint with 3/4 quarts of white paint. How much red paint should be mixed with 6 cups of white paint? *
What type of triangle is this triangle?
acute scalene
obtuse isosceles
obtuse scalene
acute isosceles
Answer:
Obtuse scalene
Step-by-step explanation:
Answer:
obtuse scalene
Step-by-step explanation:
Scalene means that none of the sides are equal.
Isosceles means that two of the sides are equal.
Obtuse means an angle in the triangle is larger than 90 degrees.
Acute means all angles in the triangle are smaller than 90 degrees.
None of the sides are equal so this triangle has to be scalene and the angle in the bottom right is larger than 90 degrees so this triangle is obtuse.
Hope this helps! :)
Heather bought 5 apples for $3 and a melon. The total cost for the fruit was $4.95. How much did the melon cost? Identify the equation you could use to represent the situation where m represents the cost of the melon. *
3m = 4.95
3 + m = 4.95
5 + m + 4.95
15 + m = 4.95
Answer:
Let m be the number of miles Travis runs each week. I ... Pineapple: P; Watermelon: W ... It will take you 5 minutes to make a waffle and 10 minutes to make a ... He has $102 to spend on $5 pens, $3 pencils, and $9 notebooks. ... Write a system of equations that Tommy could use to solve for the amount of each ...
Step-by-step explanation:
How do you find the rate of change for graphs? For example ( see photo above )
Answer:
Step-by-step explanation:
Take the old value - the new value. then divide that by the old value.
Joshua borrows $300 from his older sister to buy a bike. He promises to pay the total amount plus 5% simple interest in one year. How much will Joshua
Nikki and Nikko can do 140 jumping jacks in 6 minutes. How long will it take them to complete 350 jumping jacks? Use at least 2 ways to show your answer.
Answer:
Jumping jacks are a great way to get your heart pounding, but how ... Jumping jacks might seem like a basic exercise, but they offer some ... According to MyFitnessPal, jumping jacks can burn about eight calories per minute for a person ... For example, if you weigh 150 pounds and perform five minutes of ...
Step-by-step explanation:
Answer:
it will take 15 minutes.(
Step-by-step explanation:
140=6 min
70= 1/2 of 140 so 3 min
140X2=280+70=350
Collect like terms to simply the expression
3r + (-3r) =
Blank 1:
Question 8 (1 point)
Collect like terms to simplify the expression
2j + (-9j) =
Blank 1:
Question 9 (1 point)
Collect like terms to simplify the expression
12 + 4b - 3 + 2c =
Blank 1:
Question 10 (1 point)
Collect like terms to simplify the expression
7y + 8 - 2y + 4 =
Blank 1:
Question 11 (1 point)
Collect like terms to simplify the expression
2a + 3b - 3a + 4c - b =
(This is not the same as the question before. Look closely.)
Blank 1:
Question 12 (1 point)
What is the perimeter of this triangle (in simplest form)?
Your answer should not have parentheses or multiplication symbols !
Blank 1:
Question 13 (1 point)
Which TWO expressions below are equivalent? (Make sure to click TWO answers !)
a
2(x - 5) + (-7)
b
2x - 17
c
2x - 12
d
x + (-7) + x + 5
e
x + (-7) + (-10)
Question 14 (1 point)
What shows the proper factoring of this expression?
4d + 24
a
4(d + 6)
b
2(d + 12)
c
4d(4 + 6)
d
6(d + 4)
Question 15 (1 point)
What is the proper factoring for this expression?
50 + 25x + 75y
a
75(x + y)
b
25(2 + x + 3y)
c
25(2 + 2x + 3y)
d
25(x + 3y)
Question 16 (0 points)
How confident do you feel about your ability to master this material by January 19?
(Don't worry--by the time we get to the first quiz, you will have had many chances to practice the ideas from this pre-test.)
a
Very confident
b
Pretty confident
c
A little confident
d
Not very confident
Answer:
1=0 2
Step-by-step explanation:
hihihihi im backkkkkkk
please help :D
Answer:
1 2/4 is the greatest
Brainliest
Use substitution to find the ordered pair of the following system of equations:
y=6xy
y=5x+7
(_,_)<------ answer insert.
Answer:
hey i know this might not help the way you want it to but try using khan Academy these videos might be helpful
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary. Original price: $234.16 Markdown: 79% The sale price is $_____
PLS ANSWER ASAP !!! i will give the best answer brainliest :)
Answer:
84.22
Step-by-step explanation:
Answer:
The answer is $184.99
Step-by-step explanation:
the first thing you do is set up the problem like this 234.16 x 0.79 then when you multiply you get 184.9864 if you round to the nearest sent you get 184.99
Hope this helps :D
Which of the equations is graphed below?
A. y=-2x + (1)/(2)
B. y = -2x – 1
C. y=-2x-(1)/(2)
D. y = -2x + 1
Simplify using the Laws of Exponents
plz :]
Answer:
243000x
Step-by-step explanation:
If you do 30 by the power of 5 you get 24300000 so that is our numerator 24300000/?. Next, you do 10 by the power of 2. so 24300000/100. Next, simplify and you get 243000x. Hope this helps, let me know if correct, and have a great day!!
Please help I will give brainliest and 11 points!!
Answer:
[tex]-64y^{2}[/tex]
Step-by-step explanation:
You first multiply (-4)^3, then add the exponents of y, which is [tex]y^{2}[/tex].
Answer:
-4^3*y^2
Step-by-step explanation:
Because there are 3 “-4”s being multiplied it would be to the power of 3.
Because there are 2 ”y”s being multiplied it would be to the power of 2
Then you just need to multiply them together.
Write the linear equation when given (3,0), (-3,2)
Answer:
Assuming you want slope intercept form then -1/3x+1
Step-by-step explanation: