Sophie has mangos and bananas in a ratio of 268:36. How many mangos does she have if she has 9 bananas?
Answer:
the answer is 67
Step-by-step explanation:
calculator
A student has an average of 78 on seven chapter tests. If the student's scores on six of the tests are 72, 82, 84, 66, 68, and 89, what was the score on the remaining test?
The score on the remaining test was 85.
Let's denote the score on the remaining test by x. Then, we know that the average of all seven tests is 78, so we can use the formula for the mean:
(72 + 82 + 84 + 66 + 68 + 89 + x) / 7 = 78
Multiplying both sides by 7, we get:
72 + 82 + 84 + 66 + 68 + 89 + x = 546
Adding up the six scores we know, we get:
(72 + 82 + 84 + 66 + 68 + 89) = 461
Substituting this into the previous equation, we have:
461 + x = 546
Subtracting 461 from both sides, we get:
x = 85
Therefore, the score on the remaining test was 85.
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A 90 digit number 9999. Is divided by 89, what is the remainder?
The remainder when a 90-digit number 9999 is divided by 89 is 0, as the result of applying the divisibility rule of 89, which involves reversing the digits of the number and subtracting the smaller from the larger.
To find the remainder when a 90-digit number 9999 is divided by 89, we can use the divisibility rule of 89. The rule states that for any integer n, the number obtained by reversing the digits of n and subtracting the smaller from the larger is divisible by 89.
In this case, we reverse the digits of 9999 to get 9999 again, and subtract the smaller from the larger to get 0. Since 0 is divisible by any number, including 89, the remainder when 9999 is divided by 89 is 0.
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suppose that a high school marching band has 108 members. of these 108 band members, 39 are seniors, 23 play the trumpet, and 8 are seniors who play the trumpet. what is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? give your answer as a percentage, rounded to one decimal place.
The probability that a randomly selected band member is a senior given that he or she plays the trumpet is 34.78%.
Probability is defined as the likeliness of an event to happen. It can be calculated by dividing the total desired outcomes by the total outcomes.
P = desired outcomes / total outcomes
Of the 108 band members, if 23 play the trumpet, and 8 are seniors who play the trumpet, then the probability that a randomly selected band member is a senior given that he or she plays the trumpet is 8 divided by 23.
P = 8/23 x 100
P = 34.78%
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what is the point-slope form of an equation for the line that passes through (0, -5 )with a slope of 2 a.y=2x-5b. y+5=2xc.y-5=x-2d.y=2(x+5)
The point slope form is:
\(y-y_0=m(x-x_0)\)where m is the slope and (x0,y0) is a point of the line.
In this case, we know the point (0,-5) and the slope is m=2.
Then, we can write the equation in slope point form as:
\(\begin{gathered} y-(-5)=2(x-0) \\ y+5=2x \end{gathered}\)Answer: y+5=2x (option b)
find f f . f ' ' ( x ) = − 2 24 x − 12 x 2 , f ( 0 ) = 6 , f ' ( 0 ) = 14 f′′(x)=-2 24x-12x2, f(0)=6, f′(0)=14
Therefore, the function f(x) is given by: f(x) = -x ln|24x - 12x^2| + 14x + 6.
To find the function f(x) given f''(x) = -2/(24x - 12x^2), f(0) = 6, and f'(0) = 14, we need to integrate f''(x) twice and apply the initial conditions.
First, integrate f''(x) with respect to x to find f'(x):
∫(-2/(24x - 12x^2)) dx = -ln|24x - 12x^2| + C1,
where C1 is the constant of integration.
Next, integrate f'(x) with respect to x to find f(x):
∫(-ln|24x - 12x^2| + C1) dx = -x ln|24x - 12x^2| + C1x + C2,
where C2 is the constant of integration.
Now, we can apply the initial conditions:
f(0) = 6, so we substitute x = 0 into the equation:
-0 ln|24(0) - 12(0)^2| + C1(0) + C2 = 6,
C2 = 6.
f'(0) = 14, so we substitute x = 0 into the derivative equation:
-ln|24(0) - 12(0)^2| + C1 = 14,
C1 = 14.
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In the balance sheet, mortgage notes payable are reported as both a current and a long-term liability. a current liability only. a current liability except for the reduction in principal amount. a long-term liability only.
In the balance sheet, mortgage notes payable are reported as a long-term liability only.
Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.
Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.
By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.
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What is the weight (in grams) of a liquid that exactly fills a 465. 0 milliliter container if the density of the liquid is 0. 982 grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point. (6 points)
Answer:
456.63
Step-by-step explanation:
While playing drums I hit the snare on every second Beat& the cymbal every fourth beat which one of the following shows the ratio of the number of times I hit a snare to the number of times i hit the cymbal
Answer:When you play every beat (1, 2, 3, 4) on the snare it’s often called “four on the floor”. True four on the floor would seem to be a bass hit on every beat, like in disco, but don’t let that confuse you. It’s the same musical concept.
“Pretty Woman” is a good example of a four on the floor. I don’t know if four on the floor is exactly a style, because I hear it in classic soul, punk and whatever, but it’s definitely an approach. It’s a way to mix it up, maybe adding a little tension or forward motion without turning up the metronome. The Stooges’ “I Wanna Be Your Dog” is a good example of a song that half-way commits to the four on the floor, and the resulting feel is kind of like falling or stumbling
Step-by-step explanation:
What is the value of the expression below when w equals
8?
W^2- 4w - 2
Answer:
When w =8. then...
8^2-4(8)-2.
64-32-2=30.
Answer:
Step-by-step explanation:
Plug in the value of w in the expression and use PEMDAS
w² - 4w - 2 = 8² - 4*8 - 2 {Need to calculate exponents}
= 64 - 4*8 - 2 {Now do multiplication}
= 64 - 32 - 2
= 32 - 2
= 30
What is the value of x in the inequality 7x-26>=3(3x-2)
Answer:
work is shown and pictured
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
Can you help me out with this math problem? Please Simplify: (4 – 5) – (13 – 18 + 2). Show your work on how you got it.
(a) -1,
(b) –2,
(c) 1,
(d) 2.
Answer:
2
Step-by-step explanation:
(4-5)-(13-18+2)
=-1-(13-18+2)
=-1-(-5+2)
=-1(-3)
=2
You want to build a fence around your triangular pool. How many meters of fence will you need? If necessary,
round to the nearest tenth.
15 m
13 m
a. 35.5 m
b. 7.5 m
C. 56 m
d. 97.5 m
Please select the best answer from the choices provided
According to the Pythagorean theorem procedure, it can be inferred that the missing side is equal to 7.48m and the perimeter of the pool is 35.5m.
How to calculate the length of the missing side?To calculate the length of the missing side we must perform the following mathematical procedure using the Pythagorean theorem:
x² = 15² - 13²x² = 225 - 169x² = 56x = √56x = 7.48mOn the other hand, to calculate the amount of fence needed for the pool, we add all the sides and we will know the length of the perimeter, that is, the fence needed as shown below:
15 + 13 + 7.4835.48m = 35.5mNote: This question is incomplete because the image is missing. Here is the image.
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What is the solution to the equation?
−23=x−18
Enter your answer in the box.
x=?
Answer:
\( - 23 = x - 18 \\ x = - 18 + 23 \\ x = 5\)
Identify the slope and y intercept in the equation y=25x + 32
Answer:
y= 57x
Step-by-step explanation:
25 + 32 = 57x y = 57x
a random sample of size 30 from a normal population yields a sample mean of 32.8. the population standard deviation is known to be 4.51. construct a 95 percent confidence interval for the mean.
The 95 percent confidence interval for the mean (μ) is (31.19, 34.41).
What is standard deviation?
A measure of a group of values' variance or dispersion in statistics is called the standard deviation. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.
Given: A random sample of size 30 from a normal population yields a sample mean of 32.8.
The population standard deviation is known to be 4.51.
X bar = 32.8
s = 4.51
We have to construct a 95 percent confidence interval for the mean (μ).
So, the interval is,
32.8 ± 1.96 (4.51 / √30) = 31.19 to 34.41
Hence, the 95 percent confidence interval is, (31.19, 34.41).
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Use a system of equations to solve the quadratic equation: x2 + 2x + 10 = - 3x + 4.
The solutions of the equation x² + 2x + 10 = - 3x + 4 are x=-2 and x=-3
The given equation is x² + 2x + 10 = - 3x + 4.
Take all the terms to the left side
x² + 2x + 10+3x-4=0
Combine the like terms
x²+5x+6=0
x²+2x+3x+6=0
Take out the factors
x(x+2)+3(x+2)=0
(x+3)(x+2)=0
x=-2 and x=-3
Hence, x=-2 and x=-3 are the solutions of the equation x² + 2x + 10 = - 3x + 4.
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The data is plotted as points so a relationship can be visualized. Is there a relationship? If yes, explain the relationship.
Yes, there is a relationship. As the years increase, homeruns increase.
Yes, there is a relationship. As the years increase, homeruns decrease.
Yes, there is a relationship. As the years decrease, homeruns increase.
No, there is no relationship between the number of homeruns and the years played.
Answer:
It's D
Step-by-step explanation:
I took the instruction on edgenuity
Answer:
D, the answer is no
Explanation:
If you look at the graph (on edg) you will see that the points are all scattered up and down so we can't really make a relationship out of it.
Hope it helps!
the diameter of a circle is 8 inches. what is the circle's circumference
Answer
25.14
Step-by-step explanation:
Help, please I really need to know the answer and how to do it
Answer:
66 baskets
Step-by-step explanation:
So, this is a simple math equation if you break it down step by step. Let's see what we know from the question.
First Day = Already 10 baskets.
Every day = +4 more baskets.
Meets her goal after 2 weeks/14 days
**Questions may use different units to try to trick you, such as weeks and days! But, they are the same.**
Okay, so now we have gathered the information we know, now lets make the math equation. First we need to make the variables. Let's let G equal how many baskets she made on day 14.
G = 10+(14x4)
G = 10+(56)
G = 66
So, she made 66 on the 14th day
what is the best estimate for the mass of one piece of paper
Answer: 1kg
Step-by-step explanation:
Answer:
almost 4.5g
Step-by-step explanation:
Hope this is the answer you are looking for
6. For every 9 customers, the chef prepares 2 loaves of bread.
a. Here is double number line showing varying numbers of customers and the
loaves prepared. Complete the missing information.
b. The same information is shown on a table. Complete the missing information.
customers loaves
9 2
4
27
14
1
c. Use either representation to answer
these questions.
How many loaves are needed for 63
customers?
How many customers are there if the
chef prepares 20 loaves?
How much of a loaf is prepared for
each customer?
Please help
Step-by-step explanation:
Make sure to see the photo I tried to explain every part there
The band sold 385 cases of fruit. There are 24 bags of fruit in each case. Which is the best estimate of the number of bags of fruit sold? O A. 900 bags of fruit B. 1,000 bags of fruit O C. 5,000 bags of fruit D. 10,000 bags of fruit
Answer:
The answer is D. Hope this helps!
Please help i appreciate it!! <3<3<3
A surveyor at point S discovers that the angle between points A and B is 3 times as large as the angle between points B and C. The surveyor knows that ∠ASC is a right angle.
Find m∠ASB and m∠BSC.
Answer:
hi
Step-by-step explanation:
Answer:
Angle ASB I's 67.5 and Angle back is 22.5
Please help me cool smart people
What is the length of side CD?
(EXPLAIN)
Answer:
CD = 156
Step-by-step explanation:
132 / 55 = 2.4
120 / 50 = 2.4 (for clarification)
65 x 2.4 = 156
Answer:
156
Step-by-step explanation:
IF they are propeirtional we can make the equation
\( \frac{132}{55} = \frac{x }{65} \)
which gives us 156
Please help ASAP!!!!!!!!!
The slope of the line represented by 4x-7y=62 is 4/7. A line's steepness is measured by its slope. The mathematical expression for slope is "rise over run."
Option A is correct.
What is slope of line?In mathematics, a line's slope is the ratio of the change in the y coordinate to the change in the x coordinate. The net change in the y-coordinate and the net change in the x-coordinate, respectively, are denoted by the symbols delta y and delta x.
We are given equation as 4x-7y=62
First, let's write it in the slope-intercept form .In general, slope-intercept form is y=mx + b
where m is the slope
So, writing the equation in the form, we get
⇒-7y = 62-4x
⇒7y = 4x-62
⇒y = 4x/7-62/7
Now, matching the equation with the general form,
m = 4/7
Hence, the slope of the line represented by 4x-7y=62 is 4/7.
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if f(x) is a polynomial of degree 7, and g(x) is a polynomial of degree 7, then what is the product of the minimum and the maximum possible degrees of f(x) g(x)? (assume that f(x) g(x) is nonzero.)
The maximum degree of f(x) g(x) will be 14 and the minimum degreee of f(x) g(x) will be 0.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Function f(x) is a polynomial of degree 7,
And, g(x) is a polynomial of degree 7.
Now,
Since, Function f(x) is a polynomial of degree 7,
And, g(x) is a polynomial of degree 7.
Hence, The maximum degree of f(x) g(x) = 7 + 7 = 14
And, The minimum degree of f(x) g(x) = 0
Thus, The maximum degree of f(x) g(x) will be 14 and the minimum degree of f(x) g(x) will be 0.
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A national park has two types of bears: Grizzly bears and black bears. A sciantist has reported 9 out of 12 bears she tagged are black bears. Show a model that compares the number of black bears tagged to the number of grizzly bear?
Answer:
Z = 0.75x + 0.25y
Step-by-step explanation:
Two bear types are identified :
Black bears and Grizzly bears
9 out of 12 = black bears ; Hence, 3 are grizzled
For the model:
For a bear population of Number x
Total bear population = black bear, x + grizzled bear, y
Proportion of black bear = 9/ 12 = 0.75
Grizzled bear = 1 - 0.75 = 0.25
Total bear population , Z= 0.75x + 0.25y
Hence,
Z = 0.75x + 0.25y
Jude types 715 characters in 5 minutes. What is her typing rate in characters per minute?