Answer:
-18
Step-by-step explanation:
What is 275 = 5 (1 - 6k)
Answer:k=-9
Step-by-step explanation:
275=5(1-6k)
55=1-6k
54=-6k
-9=k
The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
find the 80th percentile.
The 80th percentile is 125.37.
It is required to find the solution.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
We have to find the 80th percentile first we have to find the mean of seven people.
Mean=100+ 115+135+140+ 180+197+ 230/7
Mean=156.71
100 percent=156.71
80 percent=156.71*80/100
80 percent=125.37.
Therefore, the 80th percentile is 125.37.
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9. There are 45 marbles in a bag (black and white only). The ratio of white marbles to black marbles is 2:3.
How many of each are there?
18 white and 27 black
Step-by-step explanation:
add 2 + 3 to get 5
45 ÷ 5 = 9
since white is 2, multiply 9 by 2 to get 18
since black 3, multiply 9 by 3 to get 27
What is y =- 4 on a graph?
Answer:
I think it's a vertical line.
help me with this. will mark as brainliest
Half of R is shown as 20 degrees, so the other half of r is also 20 degrees.
A tangent line forms a right angle, so the tangent at P is 90 degrees.
X would be 180 - 90 - 20 = 70 degrees.
X = 70 degrees.
Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
She is going to take one counter without looking. The probability that the
counter will be blue is.
How many more blue counters did Jess put in the bag?
Jess put 7 blue counters in the bag.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0.
Given Data
Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts
more blue counters in the bag.
Let x be the counter she puts in the bag
Total = 1 + 2+x
Total = 3 + x
Blue counters = 1 + x
Probability:
\(\frac{1+x}{3+x}\) = \(\frac{4}{5}\)
5(1+x) = 4(3 +x)
5 + 5x = 12 + 4x
x = 7
Jess put 7 blue counters in the bag.
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A T.V. is regularly priced at $600, but it is on sale for 20% off. What's the sale price?
Answer:
$480
Step-by-step explanation:
multiply the normal price $600 by 20 then divide it by one hundred
the discount is $120
the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.
Answer:
Step-by-step explanation:
Method 1: Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80. We get $480 as the sale price.
Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120. Then subtract this discount from the regular price, $600, obtaining $480.
If a+b+c = 9 and ab+bc+ca = 40, find a^2 + b^2 + c^2
Explanation
By definition.
\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ \end{gathered}\)so
Let
\(\begin{gathered} (a+b+c)=9 \\ ab+bc+ac=40 \\ \text{now, replace} \end{gathered}\)\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ 9^2=a^2+b^2+c^2+2(40) \\ 81=a^2+b^2+c^2+80 \\ \text{subtract 80 in both sides} \\ 81-80=a^2+b^2+c^2+80-80 \\ 1=a^2+b^2+c^2 \end{gathered}\)hence
\(a^2+b^2+c^2=1\)I hope this helps you
find the area and the perimeter of the landing area of the pole vault pit shown to the right
we have that
the landing area is a square
so
the area of a square is
A=b^2
and the perimeter is equal to
P=4b
we have
b=16.5 ft
A=16.5^2=272.25 ft2
P=16.5(4)=66 ft
Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day
Answer:
Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!
Step-by-step explanation:
At the spelling bee finals, sarah correctly spelled two less than three times as many words as christian. Leonard correctly spelled one more than twice the number of words as christian. Altogether, the three students correctly spelled a total of 95 words. How many words did each of the students spell correctly?
By answering the presented question, we may conclude that So Christian equation spelled 16 words correctly, Sarah spelled 3x - 2 = 46 words correctly, and Leonard spelled 2x + 1 = 33 words correctly.
What is equation?
An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry. Let's start by defining some variables to represent the number of words each student spelled correctly:
Let x be the number of words Christian spelled.
x + (3x - 2) + (2x + 1) = 95
6x - 1 = 95
6x = 96
x = 16
So Christian spelled 16 words correctly, Sarah spelled 3x - 2 = 46 words correctly, and Leonard spelled 2x + 1 = 33 words correctly.
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9 (4 + 2c) = ?
THANK YOUUUUU
Answer:
18c + 36
Step-by-step explanation:
Rearrange Terms:
9 (4 + 2c) =
9 (2c + 4) =
18c + 36
Hope this helps! :)
7. Solve the equation r cubed = 216.
Answer:
6
Explaination:
r^3=216
r= cuberoot(216)
r= cuberoot(6x6x6)
r=6
If AC = 2x + 13 and DB = 4x - 1. Find DB
Thw numbers 20 through 30 were written on individual cards and placed in a bag. If you take one card from the bag, what is the potability that it will be a multiple of 10
The probability of selecting a multiple of 10 is 2/11 or 0.182, which can also be expressed as 18.2%.
Given that numbers 20 through 30 were written on individual cards and placed in a bag
If you take one card from the bag, we have to find the probability that it will be a multiple of 10
There are two multiples of 10 between 20 and 30, which are 20 and 30.
The total number of cards in the bag is 11 (20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30).
Therefore, the probability of selecting a multiple of 10 is 2/11 or 0.182, which can also be expressed as 18.2%.
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The point in the interior of the circle that is equidistant from every point on the circle is called the _____ of the circle.
Answer: The point in the interior of the circle that is equidistant from every point on the circle is called the center of the circle.
Step-by-step explanation:
which statement gives a unit rate? a. for every cup, trey's cat ate for 0.75 of a day. b. for every day, trey's cat ate 1.5 cups. c. for every cup, trey's cat ate for 1.5 days. d. for every day, trey's cat ate 0.75 of a cup.
The statement that gives a unit rate is "for every day, Trey's cat ate 1.5 cups". So correct answer is option B).
This statement represents the amount of cat food consumed per unit of time, which is 1.5 cups per day. A unit rate is a comparison of two measurements in which one of the numbers is 1, making it easier to compare different rates. So, the correct option is B).
In this case, the unit rate would be 1.5 cups per day. Option A and C are not unit rates because they express the amount of cat food consumed over a varying number of days, while option D is not a unit rate because it expresses the amount of cat food consumed in a fractional amount of a day.
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The bearing of A from B is 129 and the bearing of C from B is 219. If B is equidistant from A and C, find the bearing of C from A
The bearing of C from A is 90 degrees when B is equidistant from A and C.
What is bearing?In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.
According to the given informationLet's assume that the distance from B to A and from B to C is the same.
To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:
180 - 129 = 51
This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:
219 - 180 + 51 = 90 degrees
Therefore, the bearing of C from A is 90 degrees.
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Please help! hehehehehahahah Q.Q
Answer:
100x^12
Step-by-step explanation:
What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
This line is a horizontal line [HOY] - horizontal, 0 slope, and the equation starts with y = ___ , since it crosses at -7, then the line is y = -7
Directions:
Sarah is going to the movies and she has $10 to spend on snacks. Smoothies are $3
and candy bars are $1 each. She will be spending all of the $10.
Budget: $10
Smoothies: $3
Candy bars: $1
Draw a line graph that represents the budget constraints and possible purchasing
options that Sarah has with her $10.
The attached graph represents the graph of the equation 3x + y = 10
How to determine the line graph?The given parameters are:
Budget: $10Smoothies: $3Candy bars: $1Represent the number of smoothies with x and the number of candy bears with y.
So, the equation is:
3x + 1y = 10
This gives
3x + y = 10
Next, we plot the graph of the above equation
See attachment for the graph of 3x + y = 10
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The line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Sarah is going to the movies, and she has $10 to spend on snacks. Smoothies are $3 and candy bars are $1 each. She will be spending all of the $10.
Let's suppose the number of smoothies is x and the number of candy bars is y:
Then, we can frame a linear equation in one variable:
3x + y = 10
Drawing the above the line on the coordinate plane:
Thus, the line equation 3x + y = 10 represents the budget constraints and possible purchasing options that Sarah has with her $10, and the graph is shown in the picture.
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Aiden found the mass of a rock to be 200 grams/ cubic centimeter. He then found the volume of the rock to be 20 cubic centimeters. What is the density of the rock?
Step-by-step explanation:
Density (g/cm cubed) = Mass (g) / Volume (cm cubed)
So:
Density = 200g / 20cm cubed
Density = 10g/cm cubed
Click on the graph until the graph of a line with undefined slope appears.
Answer:
option 2
Step-by-step explanation:
The only kinds of lines with undefined slopes are vertical lines.
Answer:
The second graph.
Step-by-step explanation:
A vertical line has undefined slope so it is the second graph.
y= -3/4x + 9
please help me with my homework
imagine attached choose one
Answer:
R
Step-by-step explanation:
5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000
Answer:
92% of Income is Rs 18400
Step-by-step explanation:
I = 18400/.92 = Rs 20000
A peach orchard owner wants to maximize the amount of peaches produced by his orchard.
He cannot simply plant as many trees as he can, since planting more trees will decrease the amount of fruit that each tree produces (the yield of each tree).
He has found that the per-tree yield can be described by the equation
Y = 1200 - 15 x.
Here Y is the yield per tree and x is the number of trees planted per acre.
For example, if there were 10 trees planted per acre, each tree would produce 1200 - 15 * 10 = 1050 peaches.
Find the number of trees per acre that should be planted in order to produce the maximum crop and the resulting total yield.
Number of trees per acre : trees per acre
Total yield : peaches per acre
To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.
To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).
In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.
While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.
For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.
Number of trees per acre: 1 tree per acre
Total yield: 1185 peaches per acre
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phoebe has a hunch that older students at her very large high school are more likely to bring a bag lunch than younger students because they have grown tired of cafeteria food. she takes a simple random sample of 80 sophomores and finds that 52 of them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of them bring a bag lunch.Do these data give convincing evidence to support Phoebe’s hunch?
Yes, the data give convincing evidence to support Phoebe's hunch. As the result of the test is a p-value that is 0.1 of less than 0.05.
What is p-value?The p-value is the probability of obtaining a result as extreme or more extreme given that the null hypothesis is true. The p-value is calculated by comparing the test statistic to the probability distribution under the null hypothesis.
The ratio of seniors bringing a bag lunch= 78/104 or 0.75,
while the ratio of sophomores bringing a bag lunch= 52/80 or 0.65.
This indicates that the proportion of seniors bringing a bag lunch is higher than the proportion of sophomores bringing a bag lunch.
Further, the difference between the proportions is
0.75-0.65 = 0.1,
which is a large enough difference to be considered significant.
The result of the test is a p-value of less than 0.05, which is statistically significant and indicates that the difference in the proportions is due to the different ages, and not due to chance.
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8. A square and its dimensions are shown below. What is the perimeter of the square?
Step-by-step explanation:
Perimeter is the sum of all of the sides
add all of the 3x + 3 's
3x+3 + 3x +3 + 3x+3 + 3x + 3 = 12x + 12 units
Solve the equation.y+6=-3y+26
Answer:
y = 5
Step-by-step explanation:
y + 6 = -3y + 26
4y + 6 = 26
4y = 20
y = 5
Answer:
Y=5
Step-by-step explanation:
1 Subtract 6 from both sides.
y=−3y+26−6
2 Simplify -3y+26-6−3y+26−6 to -3y+20−3y+20.
y=−3y+20
3 Add 3y to both sides.
y+3y=20
4.Simplify y+3y to 4y
4y=20
5 Divide both sides by 4.
y=20/4
Simplify 20/4
y=5