A collection of nickel and quarters is worth $4.65. There are 3 more nickels than quarters. How many coins are there in the collection?
Answer:
There are 15 quarters and 18 nickles
Step-by-step explanation:
The equations derived from this word problem are
5n + 25q = 465
and
3 + q = n
Fill (3 + q) into n in the first equation then solve. You get q = 15.
Then plug 15 into second equation (cause it's easier).
You get n = 18
Mellie is playing a bowling game at an arcade. She rolls two balls into the 30 point hole four balls into the 20 point hole and three balls into the 50 point hole. Write and evaluate an expression to find mellies total score.
Answer:
290
Step-by-step explanation:
30x2 + 20x4 + 50x3
Hope this helps. Please mark brainliest if you would. It would really help me out
Answer:
290
Step-by-step explanation:
30x2+4x20+3x50 multiply first and you get 60+80+150=290
a situation in which several independent variables are highly correlated with each other is defined as _____.
Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?
Answer:
$150
Step-by-step explanation:
Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150
5074 divided by 0.25
The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one brand of tennis racket and one brand of tennis balls, how many different combinations of brands can she buy ?
10
12
16
24
Answer:
24
Step-by-step explanation:
There are 6 different types of rackets and 4 different types of balls.
To determine the number of different combinations
6 rackets * 4 balls
24 combinations
Answer:
24
Step-by-step explanation:
if 1/4 of a journey is 100 km what is the length of the journey
1- Finding angle measures between intersecting lines
NOTE: Angles not necessarily drawn to scale
x = ??
What is the area of this shape? (Ignore the erased numbers)
Answer:
a= 528 squared centimeters
Step-by-step explanation:
Area of trapezoid is A=[(a+b)/2]*h
Base 1 is 32 cm
height is 12
since the height is also same as the bottom part as told by the line, do 32+12+12 to get...
56 cm for base 2
Sooo put this to use
a=[(32+56)/2]*12
a=[(88)/2]*12
a=[44]*12
a=528 :)
Answer:
Area 528cm²
That's the answer to your question.
Find the equation of the line passing through the points (4,10,8) and (3,5,1) .
The equation of the line passing through the points (4, 10, 8) and (3, 5, 1) is y = 5x - 10. It represents a linear relationship between the independent variable x and the dependent variable y in three-dimensional space.
To find the equation of the line passing through the given points, we can use the point-slope form of the equation.
Let's denote the points as follows:
Point 1: (x₁, y₁, z₁) = (4, 10, 8)
Point 2: (x₂, y₂, z₂) = (3, 5, 1)
First, we need to find the slope of the line, which is given by:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the values of the points:
m = (5 - 10) / (3 - 4) = -5 / -1 = 5
Now, we can choose one of the points and use the point-slope form:
y - y₁ = m(x - x₁)
Let's use Point 1:
y - 10 = 5(x - 4)
Expanding the equation:
y - 10 = 5x - 20
Simplifying further:
y = 5x - 10
Therefore, the equation of the line passing through the given points is y = 5x - 10.
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Alexander built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box.
What is the surface area, in square centimeters, of the toy box?
A = ___?___ cm 2
The surface area of the toy box is; 712 square centimeters.
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that Alexander built a toy box in the shape of a rectangular prism with an open top.
The top and bottom faces have areas;
14 cm × 10 cm = 140 cm² each.
The front and back faces have areas ;
14 cm × 9 cm = 126 cm² each.
The left and right faces have areas;
10 cm × 9 cm = 90 cm² each.
Therefore, the total surface area is:
2(140 cm²) + 2(126 cm²) + 2(90 cm²)
= 280 cm² + 252 cm² + 180 cm² = 712 cm²
So, the surface area of the toy box is 712 square centimeters.
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Follow the steps to find the product of and 0.55.
Estimate the product of and 0.55.
1/4-
Convert the decimal 0.55 to a fraction.
V55/100
What is the product of the two numbers?
X 110/150 or 11/15
110/300 or 11/30
77/103
1) Estimate value of the product of 2/3 and 0.55 is, 2/3.
2) The fraction part is, 55 / 100
3) The product of the two numbers is, 11/30
We have to given that,
Estimate the product of 2/3 and 0.55.
And, Convert the decimal 0.55 to a fraction.
And, The product of the two numbers.
Now,
Estimate the product of 2/3 and 0.55,
So, we can round 0.55 to the nearest whole number, which is 1.
Then, multiply 2/3 by 1 to get an estimate of the product.
so, The correct answer is 2/3.
Now, we can convert the decimal 0.55 to a fraction,
= 0.55
= 55/100
= 11/20
Thus, The correct answer is, 55/100.
And, the product of 2/3 and 0.55,
= 2/3 x 55/100
= 110/300
= 11/30.
Hence, The correct answer is, 110/300 or 11/30
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I need help fast plss
The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°
Finding the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The transversal lines and the other lines
So, we have
∠1 = 180 - 53
Evaluate
∠1 = 127°
Also, we have
∠5 = 53°
By vertical angles, we have
∠2 = 53°
∠3 = 127°
Next, we have
∠4 = 127 - 90°
∠4 = 37°
Solving further, we have
∠6 = 90°
By corresponding angles, we have
∠7 = 37°
∠9 = 180 - 90 - 53°
∠9 = 37°
∠10 = 90 + 53°
∠10 = 143°
∠8 = 143°
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Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2 . What is the equation of the line? A. B. C. D.
Answer:
y = 3/2x-12
Step-by-step explanation:
The slope-intercept form of a line is
y = mx+b where m is the slope and b is the y-intercept
The slope is 3/2 and the y-intercept is -12.
y = 3/2x-12
Answer:
\(\sf y = \dfrac{3}{2}x - 12\)
Step-by-step explanation:
The equation of a linear function can be written in the form y = m x + c, where,
m → slope → 3/2
c → y-intercept → -12
we can substitute these values into the equation.
The slope, m, is 3/2, so the equation becomes:
y = (3/2)x + c
The y-intercept, c, is -12, so we can replace c with -12:
\(\sf y = \dfrac{3}{2}x - 12\)
Therefore, the equation of the line is y = (3/2)x - 12
Express 0.00506 in standard form
Answer:
\(5.06 x 10^{-3}\)
Step-by-step explanation:
Move decimal 3 place to right.
Because the decimal was moved to right, the exponent is negative.
Consider the following statements concerning confidence intervals:
A. A confidence interval can only use information from the sample data to construct an interval estimate for a sample statistic not a population parameter.
B. An interval estimate is often preferred to a point estimate because an interval estimate provides more information.
C. To derive a confidence interval for a population mean when the population variance is unknown AND the sample size is small (<30), the population mean needs to satisfy that it is normally distributed.
only A is true
only B is true
only A and C are true
only B and C are true
A, B and C are true
Among the following statements concerning confidence intervals, only statement B "An interval estimate is often preferred to a point estimate because an interval estimate provides more information" is true.
A. This statement is not true. A confidence interval is used to estimate a population parameter, not just a sample statistic. It takes into account both sample data and information about the population.
B. This statement is true. An interval estimate provides more information than a point estimate because it provides a range of plausible values for the population parameter, along with an associated level of confidence. It conveys the uncertainty associated with the estimate.
C. This statement is not true. The condition for deriving a confidence interval for a population mean when the population variance is unknown and the sample size is small (<30) is not based on the population mean being normally distributed. Instead, it relies on the sample mean following an approximately normal distribution through the Central Limit Theorem.
Therefore, only statement B is true.
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what is the difference between the number of points she needs to win and the number of points she had.
Answer:
the answer is a
Step-by-step explanation:
because3 im smart unlike you
A scale of a model of a new building was created for approval by the city. The scale of the model is 3 inches=20 feet. If the model is 5 feet tall, how tall is the actual building?
Answer:
400 feet
Step-by-step explanation:
real
1 feet = 12 inches
5 feet = 60 inches
scale
3 inches = 20 feet
60 inches=
60/3 = 20
20*20= 400
therefore 5 feet tall equall 400 feet
The actual length of the building will be 400 feet.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The scale of the model is,
⇒ 3 inches = 20 feet
Now,
Since, The scale of the model is,
⇒ 3 inches = 20 feet
And, The model is 5 feet tall.
Since, 1 feet = 12 inches
So, 5 feet = 60 inches
Here, The scale of the model is,
⇒ 3 inches = 20 feet
So, The actual length of the building = 60 × 20/3
= 400 feet
Thus, The actual length of the building = 400 feet.
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You burn 20 calories per minute biking for x minutes and 10 calories per minute walking for y minutes. You can spend a total of 90 minutes biking and walking and burn 1300 calories.
A.)write a system of equations to determine how much time you spend on each exercise.
B.) how many minutes did you spend biking?
I need help on this math problem quickly!!
What kind of triangle is this?
Answer:
Obtuse triangle.
Step-by-step explanation:
A obtuse triangle has one angle that is larger than 90 degrees. There is a angle with 95 degrees.
Translate the sentence into an equation or formula.
The lateral area L of a right rectangular prism is equal to the sum of twice the length of the base / and twice the width of the base w times the
heighth of the prism.
The equation of the given sentence is
L = 2 l + 2 (w x h)
Where,
l = length of the base
w = wide of the base
h - height of the prism
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
Right rectangular prism.
The lateral area L of a right rectangular prism is equal to the sum of twice the length of the base and twice the width of the base w times the
height of the prism.
This can be written as,
L = 2 l + 2 (w x h)
Where,
l = length of the base
w = wide of the base
h - height of the prism
Thus,
The equation of the given sentence is
L = 2 l + 2 (w x h)
Where,
L = lateral area
l = length of the base
w = wide of the base
h - height of the prism
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What is the equation of 3/6 of 30?
We want to find "3/6" of 30.
First of all, let's reduce the fraction (3/6th).
Dividing top and bottom by 3, we have:
3/6
3/3 divided by 6/3
1 divided by 2
This is half.
So, we need half of 30. Which basically means:
\(\begin{gathered} \frac{1}{2}\times30 \\ =15 \end{gathered}\)Thus,
3/6 of 30
is
15CAN SOMEONE PLEASE HELP ME??!!
Answer:
RO = 17.9
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
NK/NM = RO/RQ
71.6/64 = RO/16
71.6•16/64 = RO
RO = 17.9
Which recursive sequence would produce the sequence 4 , − 6 , 4
The recursive sequence that produces the sequence 4, -6, 4 is:
a(1) = 4
a(n+1) = -a(n) + 8, for n ≥ 1
What is the meaning if recursive?In mathematics, a recursive sequence or function is one where each term or value is defined in terms of the previous one or ones. The term "recursive" comes from the word "recursion," which means to repeat or iterate.
A recursive sequence is often defined by a recursive formula or rule, which gives a formula for each term in terms of the previous ones. For example, the Fibonacci sequence is a b sequence where each term is the sum of the two previous terms.
To generate the sequence 4, -6, 4 using a recursive formula, we need to determine the pattern or rule that relates each term to the previous ones. We can see that the first and third terms are the same, and the second term is negative.
One possible recursive formula that generates this sequence is:
a(1) = 4
a(n+1) = -a(n) + 8, for n ≥ 1
Using this formula, we can find each term of the sequence by applying the rule to the previous term:
a(2) = -a(1) + 8 = -4 + 8 = 4
a(3) = -a(2) + 8 = -4 + 8 = 4
Therefore, the recursive sequence that produces the sequence 4, -6, 4 is:
a(1) = 4
a(n+1) = -a(n) + 8, for n ≥ 1
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a city council of 11 republicans and 8 democrats picks a committee of 4 at random. what's the probability thy choose all democrats?
The probability they choose all democrats is 0.01805
How to determine the probability they choose all democrats?From the question, we have the following parameters that can be used in our computation:
Republicans = 11
Democrats = 8
Number of selections = 4
If the selected people are all democrats, then we have
P = P(Democrats) * P(Democrats | Democrats) in 4 places
using the above as a guide, we have the following:
P = 8/19 * 7/18 * 6/17 * 5/16
Evaluate
P = 0.01805
Hence, the probability they choose all democrats is 0.01805
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Which of the following is a Pythagorean triple?
A. (5, 12, 15)
B. (8, 9, 10)
C (8, 15, 17)
D. (3, 3, 6)
please help this is due today
Answer:
Hello, I solved it out for you and I did an example.
Step-by-step explanation:
Which of the coordinate points below will fall on a line where the constant of proportionality is 4? Select all that apply. A) (1,4) B) (2,8) C) (2,6) D) (4,16) E (4,8)
To determine which of the coordinate points fall on a line with a constant of proportionality of 4, we need to check if the ratio of the y-coordinate to the x-coordinate is equal to 4.
Let's examine each coordinate point:
A) (1,4): The ratio of y-coordinate (4) to x-coordinate (1) is 4/1 = 4. This point satisfies the condition.
B) (2,8): The ratio of y-coordinate (8) to x-coordinate (2) is 8/2 = 4. This point satisfies the condition.
C) (2,6): The ratio of y-coordinate (6) to x-coordinate (2) is 6/2 = 3, not equal to 4. This point does not satisfy the condition.
D) (4,16): The ratio of y-coordinate (16) to x-coordinate (4) is 16/4 = 4. This point satisfies the condition.
E) (4,8): The ratio of y-coordinate (8) to x-coordinate (4) is 8/4 = 2, not equal to 4. This point does not satisfy the condition.
Therefore, the coordinate points that fall on a line with a constant of proportionality of 4 are:
A) (1,4)
B) (2,8)
D) (4,16)
So the correct answer is A, B, and D.
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