A college radio station sponsors a contest once a week. One resident from a dormitory calls in and tries to answer ten questions correctly. Each correct answer earns the dorm $50, but each incorrect answer reduces the winnings by $25. Last week’s contestant earned $350. How many answers were correct?
Answer:
There were 8 correct answers and 2 incorrect answers.
Step-by-step explanation:
The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.
Let's call:
x = Number of correct answers
y = Number of incorrect answers
The resident from a dormitory answered 10 questions last week. This leads to the following condition:
[tex]x + y = 10\qquad\qquad [1][/tex]
Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is
50x - 25y
The contestant earned $350, thus:
50x - 25y = 350
Dividing by 25:
2x - y = 14
Adding this equation with [1]:
x + 2x = 24
Simplifying:
3x = 24
x = 24 / 3
x = 8
From [1]:
y = 10 - x = 10 - 8
y = 2
There were 8 correct answers and 2 incorrect answers.
What is 13/2 as a percent
Answer:
650% percent
Step-by-step explanation:
what is the sum of ? - (? × ?)= 90
Answer:
B, because first of all, y = 4x + 6, so you could cross off A. It can't be C either because there are 4x, not 4y. And it can't be D because Y is also 6 more. If it was 6 more, 4x - y would be a negative number since y is more than 4x.
Step-by-step explanation:
What is the distributive property of 27x52 (have to show work)
they dont have a distributive 27 is only made of 3s and 52 does not divide by any multiple of 3
If x < 0 and y < 0, where is the point (x, y) located?
A.quadrant 1
B.quadrant 2
C.quadrant 3
D.quadrant 4
Answer:
quadrant 4 (both x and y are negative)
Step-by-step explanation:
What is the perimeter of a rectangle whose length is M cm and width is 2 cm
Answer:
2m plus 4
Step-by-step explanation:
mx2=2m
2x2=4
2m plus 4 = 2m plus 4
My plus button isnt working sorry
gus is making 48 ounces of spiced cider if he serves an equal amount to 7 people will each person git more than 1 cup of cider or less than 1 cup
Answer:
Each person will get less than one cup.
Step-by-step explanation:
48 ounces divided by 7 people would allow each person to receive 6.86 ounces. One cup is 8 ounces.
Answer:
i thought cider said spider hahaha
anyways...
Step-by-step explanation
each person gets one cup
Lisa and Judy read mystery novels. Judy has read three fewer than 5 times as many as Lisa. Judy has read seventeen mysteries. How many has Lisa read? a. 4 mysteries c. 3 mysteries b. 7 mysteries d. 9 mysteries
Answer:
a. 4 mysteries
Step-by-step explanation:
Let the number of books Lisa read be x.
5x-3 = 17
5x = 17 + 3
= 20
x = 20 ÷ 5
x = 4
The points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:3. If NQ = 9, find OQ.
Answer:
8Step-by-step explanation:
If the points N, O, P and Q all lie on the same line segment, in that order, such that the ratio of NO:OP: PQ is equal to 1:5:3, then;
NO + OP + PQ = 1+3+5 = 9
NQ = NO + OP + PQ = 9
Given
NQ = 9
OP + PQ = OQ
According to the ratio;
OP = 5
PQ = 3
Since OP + PQ = OQ
OQ = 5 + 3
OQ = 8
Hence the measure of OQ is 8
n divided by 8 is −32. equation first solution second
Answer:
n/8= -32
-256
Step-by-step explanation:
Wapi simplified an expression. His work is shown below
7(8.5-1.5)+ 8÷ 2
step 1 7(7) + 8 ÷ 2
step 2 49 + 8 ÷ 2
step 3 57 +2
step 4 28.5
In which step did Wapi make his first mistake?
➪ Step 1
➪ Step 2
➪ Step 3
➪ Step 4
Answer:
Step 3
explanation:
I got it right on edge, hope it helps :]
What is 10x100000
Help please ;(
Answer:
100000
Step-by-step explanation:
10x10=100
100x10=1000
1000x10=10000
10000x10=100000
Which description of a figure and its image match the transformation described by (x,y) → (2x, 2y + 1)?
The figure and its image are similar, but not congruent, and the image has been translated 1 unit up.
The figure and its image are similar, but not congruent, and the image has been translated 1 unit to the right.
The figure and its image are congruent and the image has been translated 1 unit up.
The figure and its image are congruent and the image has been translated 1 unit to the right.
Answer: The figure and its image are congruent and the image has been translated 1 unit to the right.
Step-by-step explanation:
If 6 bakers want to share a 45-pound bag of flour equally by weight, how many pounds of flour will each person get? Write an equation to solve and show your work.
Answer:
7.5 lbs
Step-by-step explanation:
We want to separate 45 pounds of flour by 6 people, which means we have to divide 45 by 6 to get 7 and 1/2 pounds or 7.5 lbs for each baker.
Answer:er./llllllll;tfph[n7j8ujhgedrsth5rdymu67igh8bn6[nmhylmnhhno9ooilhmny9yhju98y98079huj97
2634tu5yj
Step-by-step explanation:sfrnb kds 3i4huygr4vfb 4rf413qgweb31Y
What’s
3.984
+ 17
? Help
Answer:
20.984
Step-by-step explanation:
Just do:
3.984
+17.000
17 plus 3 equals 20 and .984 + 000 is .984
So your answer is 20.984
The length of the base of an isosceles triangle is x. The length of a leg is 2x-4. The perimeter of the triangle is 32 . Find x.
Answer:
X=8
Step-by-step explanation:
2x-4+2x-4+x=32
5x-8=32
Add 8
5x=40
Divide by 5
X=8
A $290 suit is marked down by 20%. Find the sale price.
Answer:
$232
Step-by-step explanation:
Answer:
232
Step-by-step explanation:
WILL GIVE BRAINLIEST!!! Find the length of DF
Answer:
190.4
Step-by-step explanation:
Solve the following system:
{2 y - 3 x - 8 = 3 y + 4 x - 1 | (AB=DE)
4 y + 10 x + 3 = -2 y - 17 x + 9 | (BC=EF)
x = -16/5, y = 77/5
DF=AC=-27x+5y+27=190.4
There you go, have a great day
Write the explicit formula for the given sequence.
9, 15, 21, 27, ...
I need this done asap
Answer:
an = 9+ 6(n-1)
or
an = 6n+3
Step-by-step explanation:
9+ what = 15
15-9 = 6
15+6 = 21
21+6 = 27
We are adding 6 each time so the common difference is 6
The explicit formula for an arithmetic sequence is
an = a1+d(n-1) where a1 is the first term and d is the common difference
an = 9+ 6(n-1)
an = 9+6n-6
an = 6n+3
Answer: 3(odd numbers)
Step-by-step explanation:
The following are product of odd numbers that are only multiplied by 3.
9. One number is 3 more than twice a second number. Their sum is 27. What is the
larger number?
Answer:
15
Step-by-step explanation:
x+(x+3)=27
2x+3=27
x=12
12+3=15
Larger number is 15, Smaller number is 12
Kevin and Randy Muise have a jar containing 56 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $6.80. How many of each type
of coin do they have?
Answer:
36 nickels and 20 quarters
Step-by-step explanation:
36x5= 180
25x20=500
500+180=680=6.80
Answer:I won’t give you a full answer but I can explain it.
Step-by-step explanation: Our “goal” is $6.80 we have to figure out how many nickels and quarters are in it. First off, which is bigger? A quarter. Count as far as you can until you can’t go over 6.80. Now add the remaining numbers (the nickels) and you will have your answer. Make sure when your adding to count each quarter and nickel!
HELP!!! ASAP!!! YOU WILL GET MARKED AS BRAINLIEST!!! You expand a rectangular garden so the perimeter is now twice the perimeter of the old garden. The expression 12w+16 represents the perimeter of the new garden, where w represents the width of the old garden.
a. Write an expression that represents the perimeter of the old garden.
b. Write an expression that represents the area of the old garden.
You'll get mark as brainlist
Answer:
A.6w+8
B. 42
Step-by-step explanation:
im assuming the 8 is the length, so 8L
sorry if thats not what you meant
What percentage is equivalent to 2/5
Answer:
40 percent.
Step-by-step explanation:
Two-fifths is the same as 4/10, which is the same as 40/100. Since percentages are a part of 100, 40/100 is 40 percent.
The correct percentage that is equivalent to 2/5 would be 40%.
Used the concept of percentage of a number which states that,
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.
Given that the equivalent number is 2/5.
Let us assume that the percentage form of equivalent number = x
Hence, it can be written as,
x% = 2/5
x/100 = 2/5
Cross multiplying,
5x = 2 × 100
5x = 200
Divide 5 on both sides,
x = 200/5
x = 40
Therefore, 40% is equivalent to 2/5.
To learn more about the percent visit:
https://brainly.com/question/24877689
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answer to 1 and 2 pls!! will mark brainliest if u explain how u got it.
Answer:
ok so the answer to the first is 23. And how you get that is take 1 +7 and add them next you subtract 30 - 7 and get 23.
Step-by-step explanation:
The answer to 2 is 32. And how you get that is you can split 96 into 3 groops and when you do you will get 32 hope this helps.
its 47% kldkfifhnknskdib do sibk jmnbsinslknd
Michael’s class 27 adults and 63 kids on their field trip. Emily’s class had 20 adults and 70 kids on their trip. Both Michael & Emily’s teachers split the class into groups, so that each group has 7 kids. Whose class had more adult chaperones per group?
Answer:
Michaels class
Step-by-step explanation:
63 kids and 70 kids One group gets 9 groups and the other gets 10. 27/9 is 3, whileas 20/10 is 2 so Michaels class had more. Hope this helps :D
2(9n - 6) + 52 = 2(7 + 8).
Thirty-nine randomly selected students in a college took the stat final. The sample mean was 68.9 with standard deviation 8.3 . The 99% confidence interval estimate of the population mean is:
Answer:
(65.5775 , 72.2225)
Step-by-step explanation:
Confidence Interval is the range around sample mean, likely to consist the population parameter.
Formula = x' + z (s / √n)
= 68.9 + 2.5 (8.3 / √39)
= 68.9 + 3.3225
(65.5775 , 72.2225)
Ethan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies.
What is the probability that Ethan reaches in the bag and randomly selects an oatmeal cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie?
Answer:7/25 × 5/24
Step-by-step explanation:
7 oatmeal 25 all together
Then 5 peanut butter 24 left since he ate one
The probability of randomly selecting an oatmeal cookie first is approximately 7/25, and the probability of selecting a peanut butter cookie second is approximately 5/24.
Use the concept of probability defined as:
Probability is defined as the ratio of the total number of favorable outcomes to the total number of outcomes.
Given that,
Ethan buys a bag of cookies.
The bag contains different types of cookies:
chocolate chip, peanut butter, sugar, and oatmeal.
The quantities of each type of cookie in the bag are:
6 chocolate chip cookies
5 peanut butter cookies
7 sugar cookies
7 oatmeal cookies
To calculate the probability,
To determine the total number of cookies in the bag and the number of oatmeal cookies and peanut butter cookies.
In this case,
Ethan has a total of,
6 + 5 + 7 + 7 = 25
So there is 25 cookies in the bag.
Since there are 7 oatmeal cookies in the bag.
So, the probability of randomly selecting an oatmeal cookie first = 7/25,
After eating the oatmeal cookie,
There are now 24 cookies left in the bag, with 5 peanut butter cookies remaining.
Therefore,
The probability of randomly selecting a peanut butter cookie second is 5/24
Learn more about the probability visit:
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how do you know if the side is hyptenuse or a leg??
Answer:
The legs are the two sides that intersect to form the right angle and the hypotenuse is the side that is diagonal relative to those sides.
Answer:
Use the Pythagorean Theorem to find the unknown side of a right triangle.
· Solve application problems involving the Pythagorean Theorem.
Step-by-step explanation: