There are total 30 students in the piano class.
What is Ratio and Proportion ?When a number can be divided by another number then they can be written as p : q , when two ratios can be equated using an equal sign then they are said to be in proportion.
It is given that the total number of girls is 40% of the total students
The ratio of total students to girls is 100 :40
= 10 :4
= 5 : 2
It is also given that in the total number of students 12 were girls
Let total students be x
Then the ratio is x : 12
As both the ratio are same and so can be equated and the proportion will be
5 : 2 = x : 12
5/2 = x /12
x = 30
Therefore there are total 30 students in the piano class.
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In a triangle If angle c is 40 degrees and angle a is 75 degrees what is angle b
Answer:
65°
Step-by-step explanation:
The sum of the internal angles of a triangle is 180°
40° + 75° + b° = 180°
115° + b° = 180°
b° = 180° - 115°
b° = 65
NEED TO KNOW ASAP
Which of the following is a quadratic inequality?
Oy<2x+7
Oy
Oy
Answer:
(c) y < x^2 -5x
Step-by-step explanation:
A quadratic inequality is one that involves a quadratic polynomial.
IdentificationThe degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a quadratic.
For the following inequalities, the degree of the polynomial in x is shown:
y < 2x +7 . . . degree 1y < x^3 +x^2 . . . degree 3y < x^2 -5x . . . degree 2 (quadratic)ApplicationWe see that the degree of the polynomial in x is 2 in ...
y < x^2 -5x
so that is the quadratic inequality you're looking for.
__
Additional comment
When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.
In the grocery store, a trolley can hold 20 lbs of groceries. annie put 12 lbs 8 oz of groceries on the trolley. how much more weight can the trolley hold ?
7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley. This can be obtained by converting the values to oz and subtracting them.
How much more weight can the trolley hold ?We know that, 1 lbs = 16 oz
Capacity of the trolley = 20 lbs
= 20 × 16 oz
= 320 oz
Weight put in the trolley = 12 lbs 8 oz
= ( 12 × 16 ) + 8 oz
= 192+8 oz
= 200 oz
Remaining weight that the trolley can hold = 320 oz - 200 oz
= 120 oz
= (7 × 16) + 8 oz
= 7 lbs 8 oz
Hence 7 lbs 8 oz more weight can the trolley hold the trolley can hold 20 lbs of groceries and Annie put 12 lbs 8 oz of groceries on the trolley.
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(PLEASE HELP I WILL MARK BRAINLIEST)
Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 3
C(-4,-2)
A' = ([?],
B' = ([],
B (3-1) C'=(,
A(1,2)
Hint: To calculate the
x-value of A', multiply the
x-value of A by 3.
Answer:
A' = (3, 6)
B' = (9, -3)
C' = (-12, -6)
Step-by-step explanation:
you can mulitply both the x and y coordinates of each point by the scale factor (3)
point (1, 2) becomes point (3, 6)
(3, -1) becomes (9, -3)
(-4, -2) becomes (-12, -6)
hope this helps!! have a lovely day :)
{this is why whoever wrote the problem gave that hint--you can follow through on that logic, but just remember that it has to be a scaled version of the original figure--so the ratios between points (and x/y values) must be consistent}
Which rectangular equation represents the parametric equations x =t superscript one-half and y = 4t?
Which statement is correct?
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) less-than StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) greater-than-or-equal-to StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) greater-than StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) = StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
The correct statement is [tex](2.06 * 10^{-2})(1.88 * 10^{-1}) < \frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]
How to determine the correct statement?The proper form of the question is added as an attachment
The expressions are given as:
[tex](2.06 * 10^{-2})(1.88 * 10^{-1})[/tex]
[tex]\frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]
Evaluate both expressions
[tex](2.06 * 10^{-2})(1.88 * 10^{-1}) = 2.06 * 1.88 * 10^{-2-1}[/tex]
[tex](2.06 * 10^{-2})(1.88 * 10^{-1}) = 3.87 * 10^{-3[/tex]
[tex]\frac{7.69 * 10^{-2}}{2.3* 10^{-5}} = \frac{7.69}{1.88} * 10^{5-2[/tex]
[tex]\frac{7.69 * 10^{-2}}{2.3* 10^{-5}} = 4.09 * 10^3[/tex]
By comparing both expressions, we have:
[tex]3.87 * 10^{-3} < 4.09 * 10^3[/tex]
This means that:
[tex](2.06 * 10^{-2})(1.88 * 10^{-1}) < \frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]
Hence, the correct statement is [tex](2.06 * 10^{-2})(1.88 * 10^{-1}) < \frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]
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How many revolutions will a car wheel of diameter 22 in. make as the car travels a distance of one mile
It would be take upto 999 revolutions.
Let try to solve it,
Let n represent number of revolutions.
We are asked to find the number of revolutions it will take for a car wheel of diameter 30 in. to travel a distance of one mile.
1 mile = 63360 inches.
We will use circumference of circle formula to solve our given problem.
Circumference = pi*d , where, D represents diameter of circle.
Now, we will set the product of n and circumference of circle equal to 63360 inches as:
pi*22*n= 63360
n= 63360*7/ 22*22
n= 443520/444
n= 998.91
Therefore It would be take upto 999 revolutions.
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Which of the following has no inverse?
a) y=√x
b) y=x³
c) y=x²
d) y=x
Jun wei has 12 more 10 cents coins than 20 cents coins. the total value of all the coins is $5.40. find the total number of coins he has.
Jun Wei has a total of 40 coins. An algebraic expression or equation with the given information is formed to calculate the total number of coins.
What is an algebraic expression?An algebraic expression is the combination of one or more variables, coefficients, and constants separated by operators. Each of them is called terms of the expression.
Eg: a + 6x + 5y + 2
Here there are 4 terms with 3 variables, 3 coefficients, and one constant.
Calculation:Given that,
Jun Wei has 12 more 10 cents coins than 20 cents coins.
So,
Consider the number of 20-cent coins = x
Then, the number of 10 cent coins = x + 12
It is given that the total value of all the coins is $5.40.
Where 1 $ = 100 cents. That implies, $5.40 = 540 cents
So,
the total value of the coins = 540 cents
⇒ 20(x) + 10(x + 12) = 540
⇒ 30x = 540 - 120
⇒ 30x = 420
∴ x = 40
Hence, there are 40 coins with Jun Wei.
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f(x)
121x
10
8
co to
6-
**
--6-5-4-3-2-12
6449
-4
-6
-10-
-12-
geg
5 6 x
Which statement is true regarding the functions on the
graph?
Of(2)= g(2)
Of(0) = g(0)
Of(2)= g(0)
Of(0) = g(2)
Answer: f(2)=g(2)
Step-by-step explanation:
The graphs intersect at x=2.
The correct statement which is true regarding the functions on the graph is,
f (2) = g (2)
We have to given that,
Graph of functions f (x) and g (x) are shown in figure.
Now, From the graph,
At x = 2;
f (2) = 0
And, At x = 2;
g (2) = 0
Therefore, At x = 2,
f (2) = g (2) = 0
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PLEASE give me the answer to #26 -#29
Answer:
26. y= 3/1 x + c
27. m = 1 so eqn will be y = 1x + c
Step-by-step explanation:
find the slope if not given and then use the eqn,
y= mx + c
where m is slope and c is y intercept
When a number is divided b 7, the quotient is 247 and the rimainder is 3,what is the number
The number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.
In the question, we are informed that a number when divided by 7, gives a quotient of 247 and a remainder of 3.
Assuming the number to be x.
We can say that x is our dividend, 7 is the divisor, 247 is the quotient, and 3 is the remainder.
The division algorithm equation is:
Dividend = Divisor*Quotient + Remainder,
Substituting values in this equation, we get a linear equation:
x = 7*247 + 3.
To solve for the unknown number x, we solve the equation as follows:
x = 7*247 + 3,
or, x = 1729 + 3,
or, x = 1732.
Thus, the number, which on divided by 7 gives a quotient of 247 and a remainder of 3 is 1732. Computed using linear equations.
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How do the angle measures of polygon ABCD compare with the angle measures in the reflected image? How do the side lengths compare? What can you say about the preservation of the angle measurements and side lengths of a shape during a reflection?
The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.
How to show that the angles are equalBased on the fact that this is a reflection, the angles would be equal measures.
What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.
The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.
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Answer:
The measures of the interior angles of polygon ABCD are equal to the measures of the corresponding angles in the reflected image. This means that angle measurements of the polygon are preserved as the image is reflected. The same is true for the side lengths. The measures of both angles and sides are preserved in a reflection. A reflection is a rigid transformation.
Step-by-step explanation:
Edmentum sample answer
Please answer with everything needed i appreciate everyones help:0)
Answer:
C
Step-by-step explanation:
please mark brainliest
Answer:
the 3rd answer option
Step-by-step explanation:
why ?
similar to the other questions.
we know the total number of coins, which is a sum of quarters and dimes. nothing else is in there.
so,
16 = q + d
and each type of coin has a defined value : a quarter is $0.25, a fine is $0.10.
and so, when you add up the value of all quarters and all dimes you get $3.10.
Enter the correct answer in the box. Write your answer in the form y - mx + b, using the appropriate inequality symbol in place of
the equal sign.
What inequality is shown in the graph?
Hello and Welcome to Brainly!
Let's take this problem step-by-step:
The problem wants the final answer to be in the form ⇒ y = mx + b
m ⇒ value of the slopeb ⇒ y-interceptLet's find both of these values first
[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex](x₁,y₁), (x₂,y₂) are any two points on the line
⇒ let's use (-4,0) and (0,-4)
[tex]Slope = \frac{-4-0}{0--4} =\frac{-4}{4} =-1[/tex]
the y-intercept is any coordinate whose x-coordinate equals '0'⇒, therefore, the y-intercept is -4
Our equation as of now: y __ -x - 4
Now let's use some points to test:
⇒ what way inequality should face:
test with (0,0) (within the shaded region)[tex]0 _._._. -(0) - 4\\0 _._._. -4\\0 \geq -4[/tex]
Therefore our equation is [tex]y\geq -x-4[/tex]
* we use '≤' since the line is solid
⇒ if the line were dotted, we would use '>'
Answer: y ≥ -x - 4
Hope that helps!
#LearnwithBrainly
Answer:
y ≥ -x − 4.
Step-by-step explanation:
The exterior angle of a regular polygon is 225 degree find the number of sides
Answer:
1.6sides
Step-by-step explanation:
Sum of total exterior angle/One exterior angle
360/225=1.6sides
25 POINTS
What is the next term of the geometric sequence? -1/7, 4/7, -16/7
Answer:
64/7
Step-by-step explanation:
Each term is multiplied by -4 (a number not a fraction as the denominator stays the same each time).
[tex]\frac{-16}{7} *\frac{-4}{1}= \frac{64}{7}[/tex]
Answer
64/7
Step-by-step explanation:
Khan <3
If 9/16 represents the ratio of the areas of two similar triangles, the ratio of the
corresponding
sides would be:
What is p ÷ r equal to?
tan x°
tan y°
sin y°
cos x°
Answer: tan x
Step-by-step explanation: An angle determines if a side is opposite the angle, or adjacent the angle. Since p/a is something to do with the tangent, as it is not using the hypotenuse (the longest side.) Tangent is Opposite/Adjacent, while Sine is Opposite/Hypotenuse and Cosine is Adjacent/Hypotenuse. The only thing that makes sense is tangent.
So, that leaves us with either tan y or tan x. Well, with x, the angle that x points to (which is the opposite side) is p, and the adjacent is a, so p/a must be Tangent(x) since it is Opposite/Adjacent sides.
Only if it was r/p would it be tan y, since r becomes the opposite and p becomes the adjacent.
please help ASAP!!!
66. Jane has determined that 169 < x < 196. What
must be true about √x?
A. 13 < x < 14
B. 84.5 < x < 98.0
C. 338 < x < 392
D. 28, 561 < x < 38,416
Answer:
A. 13 < X < 14
Step-by-step explanation:
Because x is square rooted, that means the other values inside the equation will also be square rooted. If we square root 169, that would be 13 & since there is only one option with 13, the answer will be A.
pls help: a small garden has a perimeter of 24 1/4 ft. If the length is 8 ft, what is the area of the garden.
Answer:
578 sq ft
Step-by-step explanation:
he length of a rectangular garden is twice its width and its area is 578 square feet.
This too!! Once again, thank you!
Answer:
For question 3, the slope would be -5
Step-by-step explanation:
If you wanted to graph this you would have to plot one of the points that is already given. Then from that point, you would move 5 units down and 1 unit to the right. If you run out of space, you can go to the other direction by going 5 units up and 1 to the left.
Hope this helps :)
What is the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant?
Effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.
What happens when we multiply a parent function with a positive constant?A parent function in mathematics is the simplest function in a family of functions that preserves the concept of the entire family.When we multiply a function by a positive constant, we get a function with a graph that is stretched or compressed vertically in comparison to the original function's graph. If the constant is larger than one, we get a vertical stretch; otherwise, we get a vertical compression.Therefore, the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.
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Which is a stretch of an exponential decay function?
ofx= [*
O
○ f(x) = -—-—-(5)*
|_ f(x) = 5(---)*|
O
Of(x) = 5(5)*
Who can help me to solve these questions please?
a) calculate the length of QR
b) calculate the area of trapezium PQRS.
Thanks for helping.
Using the given information, length of QR = 16.6 cm
The area of the trapezium is 304.5 cm²
Calculating area of a trapeziumFrom the question we are to calculate the length of QR and the area of trapezium PQRS
In the given diagram,
Let the midpoint of PS be T
Then, we can write that
|OP|² = |OT|² + |PT|² (Pythagorean theorem)
|OP| = radius = 13 cm
|PT| = 1/2 × PS = 1/2 × 24 cm = 12 cm
∴ 13² = |OT|² + 12²
169 = |OT|² + 144
|OT|² = 169 -144
|OT|² = 25
|OT| = √25
|OT| = 5 cm
Also, let the midpoint of QR be U
Then, we can write that
|OQ|² = |OU|² + |QU|² (Pythagorean theorem)
|OQ| = radius = 13 cm
From the given information,
The distance of QR from O is twice the distance of PS from O
∴ |OU| = 2 × |OT|= 2 × 5 cm = 10cm
Thus,
13² = ||² + 12²
169 = 10² + |QU|²
|QU|² = 169 -100
|QU|² = 69
|QU| = √69
|QU| = 8.3 cm
Now,
Length of QR = 2 × |QU| = 2 × 8.3 cm
Length of QR = 16.6 cm
b)
Area of the trapezium = 1/2(|QR| + |PS|) × |TU|
Area of the trapezium = 1/2(16.6 + 24) × 15
NOTE: |TU| = |OT| + |OU|
Area of the trapezium = 1/2(40.6) × 15
Area of the trapezium = 20.3 × 15
Area of the trapezium = 304.5 cm²
Hence, the area of the trapezium is 304.5 cm²
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Which of the following is an arithmetic sequence?
0, 2, 4, 6, ...
1, 2, 4, 8, ...
1, 4, 8, 13, ...
Answer:
A
Step-by-step explanation:
an arithmetic sequence is a sequence that is increasing or decreasing by a constant number (addition)
What is y
Someone please help
In the given diagram, the value of y is 53°
Circle GeometryFrom the question, we are to determine the value of y
The angle subtended by the arc is 74°. This is the angle the arc subtends at the center of the circle.
Then,
74° + y + y = 180° (Sum of angles in a triangle)
74° + 2y = 180°
2y = 180° - 74°
2y = 106°
y = 106°/2
y = 53°
Hence, the value of y is 53°
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True or False? If ab>0, then a>0, b>0 or a<0, b<0
Answer:
true
2. If ab = 0, then a = 0 or b = 0. This statement is true. It is a property of the real numbers which was stated in class
Evaluate the function g (x)=6x^(2) at x=2. (need answer within 10 min)
Answer:
24
Step-by-step explanation:
If x were to be 2, then we need to substitute the 2 in for x
So, it would be 6(2)^2
2 times 2 is 4 and 4 times 6 is 24
Hope this helped! :)
On the average, 1.8 customers per minute arrive at any one of the checkout counters of a grocery store. What probability distribution can be used to find the probability that there will be no customers arriving at a checkout counter in the next minute
The probability that there will be no customers arriving at a checkout counter in the next minute is 0.16530.
The number of customers arriving per minute at the checkout counter of a grocery store is following Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}[/tex] .
In the question, we are asked to find the probability that no customer arrives at the checkout, hence we put x = 0, and the mean number of customers per minute (λ) = 1.8.
Substituting the values of x and λ in the equation, we get:
[tex]P(X = 0) = e^{-1.8} \frac{1.8^{0}}{0!}[/tex] ,
or, [tex]P(0) = e^{-1.8} = 0.16530[/tex] .
Therefore, the probability that there will be no customers arriving at a checkout counter in the next minute is 0.16530.
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