what is a close but easier numbers to estimate the answer to the problem
The scores of Tim’s first four math tests are 82%, 90%, 78%, and 100%. If Tim wants to
have a test average of 90%, what must the average of Tim’s next two tests be?
Please share the steps to doing this, I'm studying for the Hunter Exam.
To get an overall average of 90% from his six tests, Tim needs to score an average of 95% on his next two tests.
Explanation:The subject of the question is Mathematics, and it is relevant to the Middle School grade.
To figure out the average score Tim needs on his next two tests to achieve a 90% overall average, we first need to calculate the total score that he needs. As Tim is taking six tests in total and wants an average of 90%, the total score he needs is 6 * 90 = 540
Then, we need to subtract the sum of his scores from the first four tests, which are 82%, 90%, 78%, and 100%. The sum of these four scores is 350.
Now, subtract this sum from the total score he needs, which is 540 - 350 = 190. This means that the total score Tim needs from his next two tests combined is 190%
Finally, to get the average score he needs on each of these next two tests, we divide this total by 2. 190 ÷ 2 = 95. Therefore, Tim needs to score an average of 95% on his next two tests to get an overall average of 90%.
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A friend asks you to think of a number, double it, then add 5. Write an algebraic expression to describe your friend's directions, and make a table of possible values.
One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish. Find the ratio of the amount of money Mrs. O pays for the swordfish to the amount of money she pays for the swordfish.
The ratio of the amount of money Mrs. O pays for swordfish to the amount she pays for salmon is 9:4, after calculating the price per pound based on the given information and the total paid.
The question involves finding the ratio of the amount of money Mrs. O pays for swordfish to the amount she pays for salmon. However, there seems to be a typo as the question asks for the ratio of the amount paid for swordfish to the amount paid for the same swordfish. We will resolve this by providing the correct ratio of the money paid for swordfish to the money paid for salmon.
Let us denote the price per pound of salmon as Ps. Given that "One pound of swordfish costs as much as 1.5 pounds of salmon", the price per pound of swordfish can be represented as 1.5Ps. We know Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish combined.
Using this information, we can calculate the price Mrs. O paid for salmon:
Ps * 2 pounds of salmon. Similarly, the price for swordfish is: 1.5Ps * 3 pounds of swordfish.
Now we need to solve for Ps using the equation: 2Ps + (1.5Ps * 3) = $39. This simplifies to 2Ps + 4.5Ps = $39, resulting in 6.5Ps = $39. Dividing both sides by 6.5 gives us Ps = $6. Hence, Mrs. O pays $6 per pound for salmon.
Therefore, Mrs. O pays 2 * $6 = $12 for salmon and 3 * (1.5 * $6) = 3 * $9 = $27 for swordfish. The ratio of the money paid for swordfish to the money paid for salmon is $27 to $12, which simplifies to 9:4.
plz help me on this
I will make it Brainliest if you get it right
A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the population of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply.
The function f(x) = 9,000(1.05)x represents the situation.
The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
After 4 years, the farmer can estimate that there will be about 1,800 bees remaining.
The domain values, in the context of the situation, are limited to whole numbers.
The range values, in the context of the situation, are limited to whole numbers.
Solve the equation: -12 = 3x + 3
Simon tosses a coin 20 times. The coin lands heads up 7 times. Based on these results, how many times can Simon expect the coin land heads up in the next 100 tosses?
Answer choices:
28
21
14
35
solve the system of equations y=x-4, y=-3x
To solve the given system of equations, we set y = x - 4 and y = -3x equal to each other to find x = 1 and subsequently y = -3, giving us the solution (1, -3). Other systems can be solved using methods such as elimination or substitution.
To solve the system of equations, let's start by setting up the equations provided:
1) y = x - 4
2) y = -3x
Since both equations equal y, we can set them equal to each other and solve for x:
x - 4 = -3x
4x = 4
x = 1
Now, we substitute x back into one of the original equations to find y:
y = 1 - 4
y = -3
The solution to the system of equations is (1, -3).
If we look at another set of equations mentioned in the question:
7x - 2y = 24
3x + 9y = 30
We can solve them using the method of elimination or substitution. For example, we can multiply the first equation by 3 and the second by 7, then subtract one from the other to eliminate one of the variables and solve for the other.
Evaluate the numerical expression.
4/3 - (-3/4)
Starting at 1:00 pm the temperature changes -4 degrees per hour. How long will it take to reach -1 degrees?
please explain your anwser
Write and solve an equation that represents the following:
Twenty more than a number is eighteen
Which statements include two quantities in the real world that are additive inverses? Select each correct answer.
A. A diver descends 18 feet and then ascends 5 feet.
B. A person pours 6 ounces of water out of a glass and then pours 6 ounces of water back in to the glass.
C. The outside temperature increases 15 degrees from the morning to the afternoon, and then decreases 6 degrees from the afternoon in to the evening.
D. A person loses 12 points playing a game and then earns 12 points.
Did the test B and D are correct
the rectangle is divided into three squares. if the total area is 225 square inches, find s to the nearest tenth.
The value of s (side) of rectangle is 8.66 inch.
Here,
The rectangle is divided into three squares.
The total area = 225 square inches.
We have to find the value of s (side).
What is area of square?
The area of square is the product of two equal side.
Now,
The rectangle is divided into three squares.
The total area is 225 square inches.
Hence, Area of rectangle = Total area of three squares
Let side of each square is ''a''
Then, Area of square = [tex]a^{2}[/tex]
Hence,
[tex]225 = a^{2}+a^{2}+a^{2}\\\\225 = 3a^{2}\\\\a^{2} = 75\\\\a = 8.6602[/tex]
The side of rectangle = 8.6602 inch
Now, The value of s to the nearest tenth is 8.66 inch.
Therefore, The value of s (side) of rectangle is 8.66 inch.
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Noah built a fenced dog run that is 8 yards long and 6 yards wide. he placed posts at every corner and every yard along the length and width of the run. How many posts did he use.
Answer:
24 posts
Step-by-step explanation:
Length = 8 yards
So, No. of parts of 1 yards in 8 yards = [tex]\frac{8}{1}= 8[/tex]
So, One each length there will be 8 posts including 2 corners
So, Total posts on 2 lengths = 8+8=16
Width = 6 yards
So, No. of parts of 1 yards in 6 yards = [tex]\frac{6}{1}= 6[/tex]
Excluding 2 corners, There will be 4 lamps on each width
So, Total posts on both widths excluding corners = 4+4=8
So, Total posts on fence = 16+8 = 24
Hence He used 24 posts .
Paula is planning a party. Her mother bought a package of 50 little toys to give the guests as party favors. Paula plans to invite 10 friends to her party. If the toys are equally divided among the friends, how many toys will each friend receive?
Answer:
I believe the answer would be 5 toys soo yeah.
Step-by-step explanation:
Which set of coordinates does NOT represent a function?
How much work does it take to lift a box weighing 78.6 pounds straight up four feet?
Answer:
19.65 because you divide 78.6 by 4
Step-by-step explanation:
Because you divide 78.6 by 4 hope it helps someone even though its late
How do you factor the expression
20k+50
NEED HELP ASAP 12+ PTS WILL MARK BRAINLIEST A remote controlled toy truck is traveling at a constant rate of 15 feet per second. What is the distance traveled when time = 3 seconds? Table with column 1 heading Seconds and values 0, 1, 2, 3 and column 2 heading Feet and no values showing. A. 5 ft B. 15 ft C. 30 ft D. 45 ft
round 89972 to 3 significant figures
90000 that's the answer
can the brainliest answer plz
A local charity is selling seats to a basketball game seats cost $20 each and snacks cost an additional $5 the charity needs to raise $400 to consider this event a success
In eleven years ted will be 22 years old ? How old is he now ?
A cylinder has a radius of 12 m and a height of 9 m. What is the exact volume of the cylinder? 108π m³ 216π m³ 972π m³ 1296π m³
the answer is 1296 i think i could be wrong
Jenna found three solutions to linear equation. She graphed them, but they don't lie in a straight line. What errors could Jenna have made? Explain.
[tex]AnSwer[/tex]
A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.
There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct characteristics.
Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.
The length of a particular rectangle is 4 greater than the width of the rectangle. If the perimeter of the rectangle is 16, what is the area of the rectangle?
Hi!
Which of the following is closest to 0.0432
A) 4 times 10 to the power of negative 2
B) 4 times 10 to the power of negative 1
C) 4 times 10 to the power of positive 1
D) 4 times 10 to the power of positive 2
Final answer:
The exponential form closest to the number 0.0432 is 4 times 10 to the power of negative 2, because it gives us 0.04 which is very close to 0.0432. So the correct option is A.
Explanation:
The student is asking which exponential form is closest to the number 0.0432. To express a number in scientific notation, we move the decimal point to the right or left to create a new number from 1 up to 10, and then we multiply this number by 10 raised to a power that corresponds to the number of places the decimal point was moved.
If we look at the options given:
A) 4 times 10 to the power of negative 2 would be equivalent to 0.04, which is very close to 0.0432.B) 4 times 10 to the power of negative 1 is 0.4, which is much larger than 0.0432.C) 4 times 10 to the power of positive 1 is 40, andD) 4 times 10 to the power of positive 2 is 400, both of which are drastically larger than 0.0432.Therefore, the correct answer is A) 4 times 10 to the power of negative 2, because it is the option closest to 0.0432.
is 1.99 a rational number?
Janita practices on the track field 1.5 hours each day before a track meet. If there are 6 days until the track meet, how many hours will Janita practice?
8 story building each story was 15 4/5 in height how tall was the building
Final answer:
To calculate the height of an 8-story building, where each story is 15 4/5 feet tall, multiply the height of one story by the number of stories, resulting in a total height of 126.4 feet.
Explanation:
The question asks how tall a building would be if it has 8 stories, with each story being 15 4/5 feet in height. To find the total height of the building, you need to multiply the height of one story by the number of stories. The height of one story is 15 4/5 feet, which can also be written as 15.8 feet when converted to a decimal. Therefore, the calculation would go as follows:
15.8 feet/story × 8 stories = 126.4 feet
This calculation shows that the total height of the building is 126.4 feet. This example demonstrates how to apply multiplication in real-life scenarios, specifically in calculating the height of structures based on the height of individual stories.
Answer:
[tex]\displaystyle \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]
Step-by-step explanation:
We can multiply the number of stories (8) by the height of each story (15 4/5 units) to find how tall the building is.
[tex]\displaystyle 8*15\frac{4}{5}=8*\frac{79}{5} =\frac{8*79}{5} = \frac{632}{5} \;units\;\text{or}\; 126\;\frac{2}{5}\;units \;\text{or}\; 126.4\;units[/tex]
4ab over c divided by 3a over 2c
[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.
To simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]
1. Rewrite the expression using the rule that dividing by a fraction is the same as multiplying by its reciprocal:
[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex]=[tex]\frac{4ab}{c} *\frac{2c}{3a}[/tex]
2. Cancel out common factors:
- 'c' in the numerator and denominator cancels out.
- 'a' in the numerator and denominator cancels out.
3. After canceling, we're left with:
4b * ([tex]\frac{2}{3}[/tex])
4. Multiply 4b by [tex]\frac{2}{3}[/tex]:
4b * [tex]\frac{2}{3}[/tex] = [tex]\frac{8b}{3}[/tex]
So, [tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex] simplifies to (8b)/3.
The probable question maybe:
simplify the expression[tex]\frac{\frac{4ab}{c} }{\frac{3a}{2c} }[/tex].