\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Here's the solution :
\(1 \dfrac{1}{2} \)\( \dfrac{3}{2} \)\(1.5\)therefore , correct choice is B
Answer:
B. 1.5
Step-by-step explanation:
To turn a fraction into a decimal, make the denominator (the bottom number) 100 since you are only using the tenths place of a decimal:
1/2 x 50/50 = 50/100 = 0.5
Then add the whole number:
1 + 0.5 = 1.5
15. You have $200 in a savings account. Each week for 8 weeks, you take
out $18 for spending money. How much money is in your account at
the end of 8 weeks?
Answer:
$66
Step-by-step explanation:
T=200-18W
where W is number of weeks
T=200-18(8)
T=200-144
T=66
A certain candidate won 310 electoral votes in an election, out of a total of 522.
The number of electoral votes won by the candidates___%of the total votes.
The candidate won approximately 59.22% of the total electoral votes.
What is a percentage?
Percentage is a way of expressing a number as a fraction of 100. It's a term commonly used in mathematics, finance, and statistics to express a proportion of a total. A percentage is represented by the symbol "%" and can be calculated by dividing the number of interest by the total, then multiplying by 100.
Percentage is a mathematical term that refers to a fraction of 100. In this particular case, we need to find what percentage of the total electoral votes the candidate won. To find the percentage, we need to divide the number of electoral votes won by the candidate by the total number of electoral votes and multiply the result by 100.
Here's the calculation:
Percentage = (Number of electoral votes won by the candidate / Total number of electoral votes) * 100
Percentage = (310 / 522) * 100 = 59.22%
Hence, the candidate won approximately 59.22% of the total electoral votes.
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Two families attended a baseball game. The first family bought 5 bags of popcorn and 6 souvenir cups, which totaled $65. The second family bought 10 bags of popcorn and 4 souvenir cups, which totaled $90. How much did one bag of popcorn cost?
$4
$5
$6
$7
One bag of popcorn costs $7.
The question asks for the cost of one bag of popcorn based on the given information. Let's solve this step by step:
1. We are given that the first family bought 5 bags of popcorn and 6 souvenir cups for a total of $65.
2. The second family bought 10 bags of popcorn and 4 souvenir cups for a total of $90.
To find the cost of one bag of popcorn, we can set up a system of equations:
Let's say the cost of one bag of popcorn is x dollars and the cost of one souvenir cup is y dollars.
From the first family's purchase:
5x + 6y = 65
From the second family's purchase:
10x + 4y = 90
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the method of elimination:
Multiply the first equation by 2 and the second equation by 3 to make the coefficients of x equal:
10x + 12y = 130
30x + 12y = 270
Now, subtract the second equation from the first equation:
(10x + 12y) - (30x + 12y) = 130 - 270
-20x = -140
x = -140 / -20
x = 7
Please let me know if you need further assistance!
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Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes through the point (4, 4) on the blue line. Explain how you determined your answer. Please explain your answer Thanks
Answer:
y = 1/2x + 2
Step-by-step explanation:
Step 1: Find slope m
(0, 2) y-int
(4, 4) random
m = (2 - 4)/(0 - 4)
m = -2/-4
m = 1/2
y = 1/2x + b
Step 2: Rewrite equation (You have -intercept already)
y = 1/2x + 2
Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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I bet no one can do this. Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100
Answer:
It is a well-known fact that for any natural number k, there are no non-zero integers x, y, and z that satisfy x^3 + y^3 + z^3 = k, unless k = 1 or k = 8. This is known as Fermat's Last Theorem.
However, for k = 1, we have the solution (x, y, z) = (1, 0, 0) and for k = 8, we have the solution (x, y, z) = (2, −1, 1)
It's important to note that this problem is a complex mathematical problem, which was solved only by Andrew Wiles in 1994 using advanced mathematical theories such as Iwasawa theory and Galois representations.
A painter leans an 18 foot ladder against the house so that the base of the ladder is 4 feet away from the wall. Approximately how far up the side of the house does the ladder reach?
Answer: 17.5ft
Step-by-step explanation:
Use Pythagorean theorem
A^2 + B^2 = c^2 where c is the hypotenuse
The ladder leaning against the wall is the hypotenuse.
4^2 + b^2 = 18^2
16 + b^2 = 324
324-16 = b^2
308 = b^2
B = 17.5ft
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
KL = 7, so B is the correct answer.
16. 68, ......., 96, 113, 132
a. 80
b. 81
c. 96
Answer:
B.
Step-by-step explanation:
So there is a pattern:
132-113=19
113-96=17
96-? is going to equal 15
So 96-81=15
And 81-68=13
If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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Can somebody please help me out please my grads are bad
Two buses leave a station at the same time and travel in opposite directions. One bus travels 20 mi/h faster than the other. If the two buses are 576 miles apart after 4 hours, what is the rate of each bus?
Sally wants to make a chocolate crunchy cake.
The recipe uses 16 biscuits and 22 squares of chocolate.
13
Sally wants to make her cake with 24 biscuits.
How many squares of chocolate will she need?
Answer:
33 squares of chocolate need
Answer:
33 Biscuits
Step-by-step explanation:
Uni method
How much biscuits do we need for 1 square of chocolate?
22/16 = 1.3
For 1 square of chocolate she needs 1.3 Biscuits.
So for 24 biscuits,
24 * 1.3
=33 biscuits
Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = In x
Y = 1
Y = 2
X = 0
About the Y axis
Translate the sentence into an equation.
Twice the difference of a number and 7 is equal to 9 .
Use the variable Y for the unknown number.
Answer:
equation: 2(Y-7) = 9
Here the number is twice the difference.the difference is 7, so Y - 7Equals to 9.PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
1.3
Step-by-step explanation:
divide the 20 cupcakes and the 15 students
20 divided by 15 = 1.3
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)
Answer:
the area would be 935cm
Step-by-step explanation:
ty for reading :P
603.2246 square centimeters.
A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation:
What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Complete Question
The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Answer:
The probability is \(P( 0.48 < p < 0.54 ) = 0.77\) or \(P( 0.48 < p < 0.54 ) = 77\%\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 400
The population proportion is p = 0.51
Generally the standard deviation of this sampling distribution is mathematically represented as
\(\sigma = \sqrt{\frac{p(1-p)}{n} }\)
=> \(\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }\)
=> \(\sigma = 0.02499\)
Generally the lower limit for the range of the population proportion within 0.03 is
\(a = p - 0.03\)
=>\(a = 0.51 - 0.03\)
=>\(a = 0.48\)
Generally the upper limit for the range of the population proportion within 0.03 is
\(b = p + 0.03\)
=>\(a = 0.51 + 0.03\)
=>\(a = 0.54\)
Generally the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as
\(P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )\)
=> \(P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )\)
\(\frac{\^ p -p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )\)
=> \(P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )\)
=> \(P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )\)
From the z table the area under the normal curve to the left corresponding to 1.2 and -1.2 is
\(P( Z < 1.2) =0.88493\)
and
\(P( Z < -1.2) =0.11507\)
So
\(P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507\)
=> \(P( 0.48 < p < 0.54 ) = 0.77\)
Find the missing variables. Write answer as
number. For example: If answer is 31° type
31
X=
□2°
xº
36°
y=
Z=
yᵒ
75%
78°
The values of missing variables are given by:
x = 51°, y = 105°, z = 90°.
We know that the sum of external and internal angles is 180°.
So from the given figure we can see that y° is the external angle and the corresponding internal angle is 75°.
So, 75° + y° = 180°
y° = 180° - 75° = 105°
And also external angle is right angle that is 90° and the corresponding internal angle is z°.
So, z° + 90° = 180°
z° = 180° - 90° = 90°
This is a pentagon and the sum of all internal angles = (5 - 2)180° = 3*180° = 540°
According to the given figure the sum of all internal angles of the pentagon is = (180° - 36°) + z° + (180° - x°) + (180° - 78°) + 75° = 144° + 90° + 180° - x + 102° + 75° = 591° - x.
So, 591° - x = 540°
x = 591° - 540° = 51°
Hence the value of missing variables are: x = 51°, y = 105°, z = 90°.
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Solve the system by substitution.
-2y = x
7x+9y = -45
Answer:
9
Step-by-step explanation:
substitute the value
HELP!!!!
The train journey from Station A to Station B takes 3 hours. The train journey from Station B to Station C takes two and one-half hours. How many minutes are both train rides combined?
120 minutes
180 minutes
300 minutes
330 minutes
Answer:
330 Minutes
Step-by-step explanation:
A->B is 3 hours
1 hour=60 minutes
3 hours=180 minutes
B->C is 2 1/2 hours
2 hours=120 minutes
1/2 hour=30 minutes
180+120+30=330 minutes
Find the shortest distance from
A to B in the diagram below.
Shortest distance = Displacement
And please provide the diagram
Must click thanks and mark brainliest
Select a box to identify whether each equation has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
- 2x + 3 = - 3x + 2
- 2x + 3= - 2x + 3
OO
- 2x + 3 = 2x + 3
Answer:
First Equation: One Solution
Second Equation: Infinite Solutions
Third Equation: One Solution
Step-by-step explanation:
Let's solve these equations step by step.
\(-2x+3=-3x+2\\\)
Subtract 2 and add 2x
\(1=-x\\x=-1\)
The only solution here is -1.
\(-2x+3=-2x+3\)
Anytime the equations are the same on both sides, we have infinite solutions.
Add 2x
\(3=3\)
Any value of x will satisfy this equation.
\(-2x+3=2x+3\)
Add 2x and subtract 3
\(4x=0\\x=0\)
The only solution here is 0.
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Candy buys 20 ounces of mixed nuts. She puts
an equal number of ounces in each of 3 bags.
How many ounces of mixed nuts will be in each
bag? Write the answer as a whole number and
fraction.
Answer:
20/3 ≈ 6.66
Step-by-step explanation:
20÷3= 20/3 ≈6.66
expression: the product of 4 and n.
A. 4/n
B. 4 + n
C. 4 – n
D. 4n
Answer:
D
product of 4 and n is the same as 4× n
and it is equal to 4n
Which statement must be added to the given to keep this proof valid?
A. JL ⊥ LM
B. KN ⊥ LM
C. JL || LM
D. KN || LM
A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.
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two dice (one red and one green) are to be rolled. the sample space consists of the 36 outcomes listed below. the first number is what is rolled on the red die and the second number is what is rolled on the green. determine: [ 1,1 1,2 1,3 1,4 1,5 1,6 ][ 2,1 2,2 2,3 2,4 2,5 2,6 ]S = [ 3,1 3,2 3,3 3,4 3,5 3,6 ][ 4,1 4,2 4,3 4,4 4,5 4,6 ][ 5,1 5,2 5,3 5,4 5,5 5,6 ][ 6,1 6,2 6,3 6,4 6,5 6,6 ]a) p(at least one of the dice is a 5) b) p(sum of the dice is equal to 7) c) p(sum of the dice is 11 or more) d) p(both are less than 3) e) p(red is larger than green) f) p(sum is greater than 9) g) p(red = 6)h) P(largest number is a 5)i) P(smallest number is a 5)
a) To find the probability that at least one of the dice is a 5, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 11 outcomes where at least one die is a 5: (1,5), (2,5), (3,5), (4,5), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,5). Therefore, the probability is:
P(at least one 5) = 11/36
b) To find the probability that the sum of the dice is equal to 7, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 6 outcomes where the sum is 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Therefore, the probability is:
P(sum is 7) = 6/36 = 1/6
c) To find the probability that the sum of the dice is 11 or more, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 2 outcomes where the sum is 11 or more: (5,6), (6,5). Therefore, the probability is:
P(sum is 11 or more) = 2/36 = 1/18
d) To find the probability that both dice are less than 3, we can count the number of outcomes where this is true and divide by the total number of outcomes. There is only 1 outcome where both dice are less than 3: (1,1). Therefore, the probability is:
P(both less than 3) = 1/36
e) To find the probability that the red die is larger than the green die, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 15 outcomes where the red die is larger than the green die: (2,1), (3,1), (3,2), (4,1), (4,2), (4,3), (5,1), (5,2), (5,3), (5,4), (6,1), (6,2), (6,3), (6,4), (6,5). Therefore, the probability is:
P(red is larger) = 15/36 = 5/12
f) To find the probability that the sum of the dice is greater than 9, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 4 outcomes where the sum is greater than 9: (4,6), (5,5), (5,6), (6,4), (6,5), (6,6). Therefore, the probability is:
P(sum is greater than 9) = 6/36 = 1/6
g) To find the probability that the red die is 6, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 6 outcomes where the red die is 6: (6,1), (6,2), (6,3), (6,4), (6,5), (6,6). Therefore, the probability is:
P(red = 6) = 6/36 = 1/6
h) To find the probability that the largest number rolled is 5, we can count
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