Answer:
If 30 unicorns out of 300 walk away then it will be 300-30=270 unicorns left.
If 50 dragons fly away out of 200 then it will be 200-50=150.
Therefore there are 270 unicorns and 150 dragons left.
I hope this helps you...Thank you...
Out of the 400 students in a final year in secondary school, 300 are offering biology and 190 are offering chemistry. I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry? I) how many students are offering at least one biology and chemistry?
Answer:
I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry?
= 160 students
II) how many students are offering at least one biology and chemistry?
= 330 students
Step-by-step explanation:
I) how many student are offering both subject , if only 70 students are offering neither biology nor chemistry?
Total number of student n ( B ∪ C) = 400
Students offering biology n(B) = 300
Students offering chemistry n(C) = 190
Students not offering biology nor chemistry = 70
Students offering both biology and chemistry n ( B ∩ C) = ??
n ( B ∪ C) - Students neither offering biology nor chemistry = n(B ) + n ( C ) - n ( B ∩ C)
400 - 70 = 300 + 190 - n ( B ∩ C)
330 = 490 - n ( B ∩ C)
n ( B ∩ C) = 490 - 330
n ( B ∩ C) = 160
Therefore, students offering both Biology and Chemistry are 160 students.
II) how many students are offering at least one biology and chemistry?
n(B' ) + n ( C') + n ( B ∩ C)
n(B') = Students offering biology only
= n(B) - n ( B ∩ C)
= 300 - 160 = 140
n(C') = Students offering chemistry only
n(C) - n ( B ∩ C)
= 190 - 160
= 30
(300 - 160) + (190 - 160) + 160
140 + 30 + 160
= 330 students
What’s the answer to this question?
Answer:
report that dude the answer is:
-7.75
Step-by-step explanation:
(1/2)^2 - 6(2 - 2/3)
First we get rid of the exponent 2 by muliplying the (1/2) two times.
(1/2)×(1/2) = 1/4
Now we have:
1/4 - 6(2 - 2/3)
Now we solve the equation in the other paraenthesis:
(2 - 2/3) = 1 1/3
Now we plug it back in:
1/4 - 6(1 1/3)
Now we mulitply the 6 with the fraction 1 1/3 in the paraenthesis:
6(1 1/3) = 8
Now we plug it back in:
1/4 - 8
Now finally solve this fraction:
-7.75
Where can you put parenthese so that the answer is correct 28-24/4•2=25
Answer:
This really is about trial and error
28-24/(4*2)=25
Step-by-step explanation:
If you do this correctly, the numbers you'll get are 28-3 = 25!
Hope this helps!! :)
Answer:
I think this is the answer
4a4 − 2b2 + 40 when a = 2 and b = 7.
Answer:
44
Step-by-step explanation:
4(2)4 - 2(7)2 + 40
32 - 28 + 40
44
Answer: 6
Step-by-step explanation:
4a^4-2b^2+40, given a=2 and b=7
4a^4-2b^2+40
=4(2)^4-2(7)^2+40
=4(16)-2(49)+40
=64-98+40
=-34+40
=6
Hope this helps!! :)
Please let me know if you have any question
The perimeter of a right triangle is 25 meters and the area is 20 square meters. The length of the sides are each multipled by 3. What is the are of the new triangle
Answer:
The area of the new triangle is 180 m²
Step-by-step explanation:
let the height of the triangle = h
let the base of the triangle = b
The area of right triangle is given by;
A = ¹/₂bh
20 = ¹/₂bh
If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;
A= ¹/₂(3b)(3h)
A = ¹/₂(9) (bh)
A = 9(¹/₂bh)
A = 9(20)
A = 180 m²
Therefore, the area of the new triangle is 180 m²
Answer: D
Step-by-step explanation:
If f(x) = x-5 and g(x) = 3x2-1,
what is (fºg)(x)?
Answer:
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Step-by-step explanation:
f(x) = x - 5
g(x) = 3x² - 1
To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)
That's
[tex](f\circ \: g)(x) = 3 {x}^{2} -1 - 5 [/tex]We have the final answer as
[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]Hope this helps you
4 books for 1$12.00 3 books for $9.00 What is the price per book? What is the constant of proportionality
Answer:
the price per book is $3 the constant of proportionality is 3
Step-by-step explanation:
12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.
Help please I am confused inverse variation problem
Answer:
y =2
Step-by-step explanation:
Inverse variation is of the form
xy = k
3*6 = k
18 = k
xy = 18
Now when x = 9, find y
9*y = 18
Divide by 9
y = 18/9
y =2
When x =9, y =2
Answer:
y = 2
Step-by-step explanation:
y = 6 ⇔ x= 3
y = ? ⇔ x = 9
y = 6*3/9
y = 2
)) Linda and her dad are making rock candy. The first step is to pour sugar into boiling
water. So, Linda opens a 4-cup bag of sugar. Linda's dad pours 3 cups into the water.
()) What fraction of the bag of sugar does Linda's dad pour into the water?
Answer:
umm, 3/4
like
bru
Step-by-step explanation:
at the science school, there is one microscope for every 5 students. The principal figures that in order to have one for every 4 students, she needs 6 additional microscopes. How many students are at the school?
Find the LCM of the given set of counting numbers.
4, 30
Answer:
2, 15
Step-by-step explanation:
LCM= Lowest Common Denominator
4, 30 divided by 2 is the lowest because you cant do 3 because ti wouldn't work for (4) and it wouldn't be 4 because it would make 30 into 7.5 which is not right
so the answer is 2, 15
(-12)^9 negative or positive
The temperature is at -2 F at 6A.M. During the next three hours, the temperature increases to 15F. What is the temperature at 9A.M. Enter your answer in integer form
Answer:
Temperature at 9 A.M = 13° F
Step-by-step explanation:
Given:
Temperature at 6 A.M = - 2° F
Temperature increases in 3 hours = 15° F
Find:
Temperature at 9 A.M
Computation:
Temperature at 9 A.M = Temperature at 6 A.M + Temperature increases in 3 hours
Temperature at 9 A.M = - 2° F + 15° F
Temperature at 9 A.M = 13° F
Please help! I will mark brainliest.
*PLEASE ANSWER ASAP* Taylor is playing a board game with two friends. Using a single die, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. What is the probability that Taylor will win the game?
Answer:
D
Step-by-step explanation:
So, one friend rolled a 1 and the other rolled a 3. Taylor needs to roll a number higher than both friends in order to win.
So, the possible numbers Taylor can roll to win are 4, 5, or 6.
Out of the six possible choices, 4, 5, and 6 is takes up 3. Thus, the chances of Taylor winning is:
[tex]3/6=50\%[/tex]
The answer is D.
What is the solution set for the inequality?
-6x+9>7x+74
Answer:
Step-by-step explanation:
- 6x + 9 > 7x + 74
Treat them as being equal first.
Subtract 9 from both sides.
- 6x + 9 - 9 > 7x + 74 - 9
- 6x > 7x + 65
Subtract 7x from each side
- 6x - 7x > 7x - 7x + 65
- 13x > 65
Divide each side by -13
- 13x / -13 > 65 / -13
x < -5
So x hust be smaller than -5 meaning -6 works but -4 doesn't.
3, 7, 11, 15, 19, 23, ...
what’s the next number in the pattern then explain how you got the answer
Answer:
27
Step-by-step explanation:
if you add 4 to 3 you get 7 and if you add 4 to 7 you get 11 so keep adding 4 to all the numbers and you will get the next number.
Answer:
The pattern is going by 4 so your next number would be 27
Step-by-step explanation:
Count from 3 to reach 7 then you get 4 same goes for the rest of the numbers so if you count 4 more of 23 you get 27
Hope that answered ur question
A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?
a. 2.234 in
C. 1.369 in
b. 3.784 in
d. 2.758 in
Answer:
a: 2.234
Step-by-step explanation:
i checked after i took the test. its right, enjoy
The size of the square cut from each corner will be 1.369 inches. The correct option is C.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that a box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps.
The size of the square cut from each corner will be calculated as,
Volume = L x H x W
1000 = 22 x 30 x H
H = ( 1000 ) / ( 660 )
H = 1.538 or 1.369 inches
Therefore, the size will be 1.369 inches.
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How can you plot a point using its (x,y) coordinates?
Answer:
each
Step-by-step explanation:
Tamara earns $15 an hour at her job working 30 hours per week. If her net pay is 72% of her paycheck and she has no other sources of income, what is Tamara’s monthly cash inflow? (Assume there are 4 pays per month )
Answer:
126
Step-by-step explanat
(30)(15) - (72%)
Answer:
$1296
Step-by-step explanation:
paycheck in 1 month: $15/hour * 30 hours/week * 4 weeks/month = $1800/month
net pay = 72% of paycheck in 1 month = 72% of $1800 =
= 0.72 * $1800 = $1296
What is the solution to this system of equations?
x+y=7
x=y+3
(i’ve never understood ones like this so please help!!)
Answer:
x=5 and y=2
Step-by-step explanation:
[tex]x=y+3\\x=2+3\\x=5[/tex] [tex]x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2[/tex]
The solution of the system, x + y = 7, x = y + 3 is x = 5 and y = 2.
What is the equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.
Given:
x + y = 7
x = y + 3
Write both equations as shown below,
x = -y + 7
x = y + 3
Add both equations,
x + x = -y + y + 7 + 3
2x = 10
x = 5,
5 = y + 3
y = 5 - 3
y = 2
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Rewrite 48 + 60 using the distributive property
Answer:
12* ( 4+5)
Step-by-step explanation:
48 = 12 * 4
60 = 12 * 5
48 + 60 = 12*4 + 12*5
= 12*( 4 + 5)
= 12* 9
= 108
Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?
The approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
What is binomial distribution?A probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials. For determining the likelihood of achieving a certain number of successes in a set number of trials, it is utilised.
Given, Ankit makes 74% of the free throws.
Using binomial distribution we have:
[tex]P(X=k) = (n C k) * p^k * (1-p)^{(n-k)}[/tex]
For k = 3 we have:
[tex]P(X=3) = (3 C 3) * 0.74^3 * (1-0.74)^{(3-3)}\\\\P(X=3) = 0.74^3[/tex]
P(X=3) ≈ 0.405
Hence, the approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
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Salim and Anna met when they were in first grade, and they have been best friends for 10 years. Which part of this sentence is a clause?
Here, we are required to identify which part of the sentence is a clause .
The clause in the sentence is "Salim and Anna met when they were in first grade"
First, we must know that a clause is simply defined as a group of words containing a subject and predicate and functions as a part of a complex or compound sentence.
The sentence "Salim and Anna met when they were in first grade, and they have been best friends for 10 years." is a compound sentence.
And, the "Salim and Anna met when they were in first grade" part of the sentence is a clause as it has a subject which is "Salim and Anna" and a predicate which is the rest of the sentence i.e "met when they were in first grade"
The part of the sentence which is a clause is Salim and Anna met when they were in first grade
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Answer: A
Step-by-step explanation:
I got it correct..
Evaluate p/2-5 when p=14
Answer:
[tex] - 4.67[/tex]
Step-by-step explanation:
[tex] \frac{p}{2 - 5} = \frac{14}{2 - 5} = \frac{14}{ - 3} = - 4.67[/tex]
jessica is saving money for a new sailboat. she has already saved $1000 and plans to save $150 per week. this situation can be represented by the function f(x)=1000+150x, where x is the number of weeks. how much money has jessica saved after 12 weeks
Answer: $2800
Step-by-step explanation:
if the function is f(x) and shes already saved $1000 plug in the functions, or in other words plug in x for weeks.
1000 + 150 x
(plug in x)
1000 + 150 x 12
so now you do 150 x 12 which equels 1800
then add how muh shes saved and thats will be your total.
The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function? A.h(5 – x) B.1 + h(x) C.h(x + 8) D.–6h(x)
Answer:
[tex]\Huge \boxed{\mathrm{B.} \ 1+h(x)}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The function is odd when f(-x) = -f(x).
1 + h(-x) = 1 + -h(x)
[tex]1 + -(-x)^5 + 12(-x) = 1 + -(-x^5 + 12x)[/tex]
Solving:
[tex]1 + x^5 -12x= 1 + x^5 - 12x[/tex]
[tex]x=x[/tex]
The equation is true.
[tex]\rule[225]{225}{2}[/tex]
Miss K wants to get Portillos with 5 of her teacher
friends. She decides to split a pizza and 6 drinks. If the
pizza cost $11.50, and they spend a total of $18.50,
how much does one drink cost?
Show ALL work in this box!
Answer: $1.17 per drink
Step-by-step explanation:
Let x=the cost of one drink
11.5+6x=18.5
subtract 11.5 on both sides
11.5+6x-11.5=18.5-11.5
6x=7
Divide 6 on both sides
6/6 x=7/6
x=7/6
7/6≈$1.17
Hope this helps!! :)
Please let me know if you have any question
Hailey signed up for a streaming music service that costs $14 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.50 per song. How much total money would Hailey have to pay in a month in which she downloaded 40 songs? How much would she have to pay if she downloaded ss songs?
Answer:
The total is: 74$
Step-by-step explanation:
1.50$ times 40 equals 60. Then you have to add up the cost you usually get per month which is 14$. 60 plus 14$ = 74$
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total money to pay in a month in which she downloaded 40 songs is $74.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost per month for streaming music = $14
Cost per song for download = $1.50
Total cost for downloading 40 songs.
= 40 x 1.50
= $60
The total cost for the month.
= Monthly charges + Cost of downloading 40 songs
= $14 + $60
= $74
Thus,
The total money to pay in a month in which she downloaded 40 songs is $74.
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How do i solve 6(2-4y) +4(6y-2)<4(y+4)
[tex]6(2-4y) +4(6y-2)<4(y+4)[/tex] (distribute)
[tex]12-24y+24y-8<4y+16[/tex] (collect like-terms)
[tex]12-8<4y+16\\4<4y+16\\-4y<16-4\\-4y<12\\y>\frac{12}{-4}[/tex] (we flipped the sign because we divided by a negative)
[tex]y>-3[/tex]