Answer:
35 ounces
Step-by-step explanation:
If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.
The Morris family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 4 beds, 2 desks, and 1 dresser to select from. How many different furniture sets could they select?
Answer:
8 possibilities.
Step-by-step explanation:
There are many combinations. Instead of drawing out a chart and going through every single possibility, deleting the recurring ones, and recounting again, you need to multiply.
Since there are four beds and a dresser, obviously, there can only be four combinations to choose from. The Morris family can choose bed A with the drawer, bed B with the drawer, bed C with the drawer, or bed D with the drawer. All of these possibilities contain the same drawer, so it's pretty straightforward: only four combinations. This is 4 x 1.
Next, the family needs to choose between the two desks. They can choose bed A with desk A, bed A with desk B, bed B with desk A, bed B with desk B... and so on. Therefore, there will be four combinations of beds with desk A, and four combinations of beds with desk B. 4 + 4 = 8. Or, we could simply multiply the four beds by the two desks: 4 x 2 = 8. Both equations supply the same answer.
All in all, we need to multiply the number of choices together to get the total number of combinations. That's 4 x 2 x 1, which is 8.
People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below. Pink lemonade: 156 males, 72 females Yellow lemonade: 104 males, 48 females The events "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6. P(female | pink lemonade ) = P(pink lemonade) = 0.3. P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6. P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
Answer:
[tex]P(pink) = P(pink |\ female) = 0.6[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}{} & {Male} & {Female} & {Pink} & {156} & {72} \ \\ {Yellow} & {104} & {48} \ \end{array}[/tex]
Required
Why [tex]prefers\ pink\ lemonade[/tex] and [tex]female[/tex] are independent
First, calculate [tex]P(pink |\ female)[/tex]
This is calculated as:
[tex]P(pink |\ female) = \frac{n(pink\ \&\ female)}{n(female)}[/tex]
[tex]P(pink |\ female) = \frac{72}{48+72}[/tex]
[tex]P(pink |\ female) = \frac{72}{120}[/tex]
[tex]P(pink |\ female) = 0.6[/tex]
Next, calculate [tex]P(pink)[/tex]
[tex]P(pink) = \frac{n(pink)}{n(Total)}[/tex]
[tex]P(pink) = \frac{156 + 72}{156 + 72 + 104 + 48}[/tex]
[tex]P(pink) = \frac{228}{380}[/tex]
[tex]P(pink) = 0.6[/tex]
So, we have:
[tex]P(pink) = P(pink |\ female) = 0.6[/tex]
Hence, they are independent
Answer:
P(pink lemonade | female) = P(pink lemonade) = 0.6.
Step-by-step explanation:
A
Which equations are true?
Choose All Answers That Apply (10 Points)
Answer:
B
Step-by-step explanation:
Two negatives is a positive, and you want your outcome to be a positive x, therefore b is the correct answer.
Answer:
second one
A negative multiplied by a negative is a positive.
- (-x) is multiplication.
3. Sarah bought 3 pounds of apples for $6. How much did each pound of apples cost?
Answer:
A
Step-by-step explanation:
6/3 = 2
Answer:
$2 each
Step-by-step explanation:
3 pounds of apples for $6
$6÷3 lbs= $2 each pound
The graph of g(x) = |x - h1 + k is shown on the
coordinate grid. What must be true about the signs of h
and k?
Answer:
Step-by-step explanation:
D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer.
Answer:
D.The sign of h must be negative and the signal of k must be positive EDGE 2021
Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)
Answer:
[tex]3(2x+5)(x-3)[/tex]
Step-by-step explanation:
The given equation is:
[tex]6x^{2}-3x-45[/tex]
It can be solved by using middle term splitting.
So,
[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]
So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]
Find the inverse mapping of x 2x +1
Solve the attachment...
Answer:
Step-by-step explanation:
= [tex]\int\limits^1_0 {5x\sqrt{x} } \, dx[/tex]
= [tex]\int\limits^1_0 {5xx^{1/2} } \, dx[/tex]
= [tex]\int\limits^1_0 {5x^{3/2} } \, dx[/tex]
= 5 [tex]\int\limits^1_0 {x^{3/2} } \, dx[/tex]
= 5*[tex]\frac{2}{5}[/tex]*[tex]x^{5/2}[/tex] |[tex]\left[\begin{array}{ccc}1\\0\\\end{array}\right] \left[/tex]
= 5*[tex]\frac{2}{5}[/tex]*[tex]1^{5/2}[/tex]
= 2
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
if f(x)= 3^x+10x and g(x)= 2(x) = 2x - 4 find (f+g)(x)
Answer:
(f + g)(x) = 3^x + 12x -4
Step-by-step explanation:
Here, we want to get the value of (f + g)(x)
Mathematically, we have this as;
(f + g)(x) = f(x) + g(x)
= 3^x + 10x + 2x-4
= 3^x + 12x -4
Question 4 of 10 What is the equation of the following line? Be sure to scroll down first to see all answer options. (6,2) O A y= 22 B. y=-3x O c. y=6x O D. y = 1 x O E y=3x O F. y = 1 x
The equation of the line will be y = 1/3x. The correct option is F.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
The slope of the line is calculated as,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
The two points are (6,2) and (0,0). Calculate the slope of the line,
[tex]m = \dfrac{0 - 2}{0-6}[/tex]
m = 1 / 3
The equation of the line can be written as,
y = mx +c
y = 1/3x + 0
y = 1/3x
To know more about an equation of the line follow
https://brainly.com/question/18831322
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Evalute f (3) if(x) = -4x+5
Answer: f(3)=-7
Step-by-step explanation:
To evaluate f(3), we want to plug in x=3 into f(x)=-4x+5.
f(3)=-4(3)+5 [multiply]
f(3)=-12+5 [add]
f(3)=-7
Now, we know that f(3)=-7.
The temperature is -3°C. As the day progresses, the temperature increases by 8°C, then drops by 6°C. Find the final temperature.
We know that the initial temperature is -3 then it rises to 8 and drops by 6 degrees then you just need to subtract six from 8 [tex]\displaystyle\ 8-6=2^\circ \\\\Answer: the\ secondary\ temperature \ will \ be equal \ to \ 2^\circ[/tex]
if f(x)=xsquare find f inverse x
One packet of biscuits requires 2 15/16 and 1 7/8 cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be?
Answer:
Hey Mate! Here's your answer.
Step-by-step explanation:
One packet of biscuits requires 2½ cups of flour = \frac{5}{2}25
One packet of biscuits requires 1 \times \frac{2}{3}1×32
One packet of biscuits requires 1 \times \frac{2}{3}1×32cups of sugar. = \frac{5}{3}35
Total ingradiants for one packet of biscuits =
Total ingradiants for one packet of biscuits =( \frac{5}{2} + \frac{5}{3} ) = \frac{15 + 10}{6} = \frac{25}{6}(25+35)=615+10=625
Then, total quantity of both ingredients used in 10 such packets of biscuits =
Then, total quantity of both ingredients used in 10 such packets of biscuits =10 \times ( \frac{25}{6} ) = 5 \times ( \frac{25}{3} ) = \frac{125}{3} = 41 \times \frac{2}{3}10×(625)=5×(325)=3125=41×32
Hope it helped you!
Ben uses a compass and a straightedige to bisect angle PQR, as shown below.
B
Wie statement beste wy Ben uses the cate with to draw Som there?
Answer:
The answer is <AQS = BQS when AS=BQ and AQ=BQ
Step-by-step explanation:
8
6471 sq. in.
25671 sq. in.
1,02471 sq. in.
Answer:
102471 sq .in the land answer Teri ma ki bosra
Answer:
=256 pi
Step-by-step explanation:
The surface area of a sphere is
SA = 4pi r^2
SA = 4 pi (8)^2
= 4 * pi *64
=256 pi
Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A larger parallelogram has side lengths 15 millimeters and B. What is the length of side B in the enlarged parallelogram? 15 mm 30 mm 40 mm 50 mm
Answer:
B=30mm
Step-by-step explanation:
According to the Question,
we have, A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.
The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.
Therefore, A/C = D/B
5/10 = 15/B
B=150/5
B=30mm
is (12, 4), (36, 12), (-6, -2), (21, 7) directly proportional?
Answer:
I think yes
Step-by-step explanation:
12/4=3
36/12=3
-6/-2=3
and so on
The driving distance between Manchester and London is 195 miles. Farris wants to travel from Manchester to London on coach. The coach will leave Manchester at 3:30pm. Farris assumes the coach will travel at an average speed of 50mph. work out Farris's arrival time in London?
Answer:
7:24 pm
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (195 miles)/(50 miles/hour)
time = 3.9 hours
The trip will take 3.9 hours.
3 hours + 0.9 hours = 3 hours + 0.9 hours * 60 minutes/hour =
= 3 hours + 54 minutes
The trip will take 3 hours and 54 minutes.
3:30 pm + 3:54 = 6:84 pm = 7:24 pm
Answer: 7:24 pm
solve the following simultaneous linear equations by the substitution method.
2p + 3q = 10
p - 2q = -2
Answer:
p = 2 and q = 2
Step-by-step explanation:
hope this helps please like and mark as brainliest
hi i need help with this
Evaluate 4(3-1)^2
Hey there!
4(3 - 1)^2
3 - 1 = 2
= 4(2^2)
2^2
= 2 * 2
= 4
4(4)
= 16
Answer: 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
4(3-1)^2= 16
Step-by-step explanation:
4(3-1)^2
=4×(2)^2
=4×4
=16 ........
HOPE THIS HELPS YOU....
the temperature is -3 at 6am but it rises to 12 at the afternoon what is the temperature In the afternoon
Answer:
1cm divided by 17 = 32 then subtract the 32 into 17
Find x in the kite below
Answer:
x = 110
Step-by-step explanation:
comment if you want explanation
Answer:
Step-by-step explanation:
I don’t know how to do this can someone help?
Answer:
Why your question is not visible
Your photo is black screen
Step-by-step explanation:
Please Mark me brainliest
25. Kendra owns a toy store. She charges $8.00 for two puzzles and a piece of candy. She charges (1 poi
$4.50 for one puzzle and a piece of candy. How much does each puzzle cost?
O $3.50
O $4.50
O $1.00
$2.25
Given:
Kendra charges $8.00 for two puzzles and a piece of candy.
She charges $4.50 for one puzzle and a piece of candy.
To find:
The cost of each puzzle.
Solution:
Let x be the cost of a puzzle and y be the cost of piece of candy.
Kendra charges $8.00 for two puzzles and a piece of candy.
[tex]2x+y=8[/tex] ...(i)
She charges $4.50 for one puzzle and a piece of candy.
[tex]x+y=4.50[/tex] ...(ii)
Subtracting (ii) from (i), we get
[tex]2x+y-(x+y)=8-4.50[/tex]
[tex]2x+y-x-y=3.50[/tex]
[tex]x=3.50[/tex]
The cost of puzzle is $3.50. Therefore, the correct option is A.
Cual de las siguientes fracciones es equivalente a 6/18
1/3
2/3
3/18
3/6
Answer:
the answer is going to be 1/3
Find the value of the variable that results in congruent triangles.
A. 80
B. 10
C. 50
D. 30
Answer:
x = 10
Step-by-step explanation:
Mathematically, the sum of the interior angles of a triangle is 180
Thus, we have it that;
55 + 45 + (5x + 30) = 180
100 + 5x + 30 = 180
5x = 180-30-100
5x = 50
x = 50/5
x = 10
Help please????????
Answer:
C
Step-by-step explanation:
First isolate x So the equation would look like
x^2=y+11
then square root the whole thing to get
x= plus or minus the square root of y-11
Someone please help me with this math problem?
Answer:
D
Step-by-step explanation:
5(x-5)=353 + x
the first 5 is all his tests, in the parenthesis x is the average score, and -5 is the 5 points lower mentioned in the problem.
Answer:
B
Step-by-step explanation:
We are given that Markus scored 85, 92, 82, and 94 on his first four tests and x on his fifth.
We know that his score on the fifth test is five points lower than the average of all five tests.
To find the average, we add up all the values and divide by the number of values there are. Therefore, the average of all five tests is:
[tex]\displaystyle \frac{85+92+82+94+x}{5}[/tex]
Simplify:
[tex]\displaystyle =\frac{353+x}{5}[/tex]
His test score x is five points lower than the average. Hence:
[tex]\displaystyle x=\left(\frac{353+x}{5}\right)-5[/tex]
Rewrite. We can add five to both sides:
[tex]\displaystyle x+5=\frac{353+x}{5}[/tex]
And multiply both sides by five. Hence:
[tex]\displaystyle 5(x+5)=353+x[/tex]
Thus, our answer is B.
Notes:
By solving the equation, we see that x = 82. So, Markus scored 82 points on his fifth test.
If that is true, then his average score of all fives tests will be:
[tex]\displaystyle \frac{85+92+82+94+82}{5}=87[/tex]
82 is indeed five points fewer than 87, so our answer is correct and matches the given information.
(-6)^-1 multiply by x = 27^-1. find x
Answer:
-32 shall be multiplied to get the answer.
Step-by-step explanation:
DON'T MIND MY WRITING!!