Answer:
8
Step-by-step explanation:
let the ratio constant be 'x'
=> 2x:3x
sum = 2x + 3x = 5x
Total number of boys
=>(2x/5x)20 = 8
The ratio of boys and girls in a classroom is 2 : 3 respectively. If the total number of children is 20. How many boys are there in the class ?
Explanation -:In this question we are provided with the ratio of boys isto girls that is 2 : 3 it is also given that total number of children are 20. We are asked to calculate number of boys.
[tex] \green{ \small \pmb{\tt{ First \: we \: will \: form \: an \: equation }}}[/tex]
Let us assume the number of girls as 3x and number of boys as 2x.
Total number of children = 20
3x + 2x = 20
[tex] \orange{\small \pmb{\tt{ Now \: we \: will \: solve \: this \: equation }}}[/tex]
[tex] \small\frak{ 3x + 2x = 20}[/tex]
[tex] \small\frak{ 5x = 20}[/tex]
[tex] \small\frak{ x = \dfrac{20}{5} = 4}[/tex]
[tex] \small \underline{ \boxed{\pmb{x = 4} }} \large \: \star[/tex]
Boys = 2 × 4 = 8
Girls = 3 × 4 = 12
Hence 8 boys and 12 girls are there in the classroom.[tex] \tiny \tt{spbankingandsscseries}[/tex]
If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes, what is the eye color of the train driver??? :) lol
If I am driving the train , the colour of the eye will be my eye colour.
What are Logical Questions ?The questions that do not need critical reasoning while only need logical thinking to find the answer.
It is given that the "If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes"
If I am driving the train , the colour of the eye will be my eye colour.
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The formula for the surface area of a
sphere that has a radius 7 is shown in
the box below.
SA = 4tr-2
A sphere and one of its dimensions are
shown in the diagram below.
5 in.
What is the surface area, in square
inches, of the sphere?
Step-by-step explanation:
hope you can understand
Find h(1) if h(x)=4x2 +3x - 2
Answer:
[tex]h(1) = 4 \times 2 + 3 \times 1 - 2 \\ = 9[/tex]
h = 3 + 31t - 161²
Find all values of t for which the ball's height is 17 feet .
Answer:
t= 31/175 ≈ 5.64516129
Step-by-step explanation:
Refer Pic For Steps....
Hope it Helps!!!
Emily invested $810 in an account paying an interest rate of
Answer:
complete this
Step-by-step explanation:
yeah do it
How many feet of fencing will George need for the dog run?
22 feet
68 feet
76 feet
82 feet
George will need to do 76 ft. of fencing , Option C is the correct answer.
What is a Rectangle ?A rectangle is a polygon with four sides , angles and vertices , the opposite sides are parallel and equal.
Area of the dog run = 240 sq.ft
Length of the run is 30 ft
Width is 30-x ft.
Area of a Rectangle = Length * Width
240 = 30 * (30-x)
8 = 30 -x
x = 22 ft.
Width is (30-220 = 8)
The perimeter of the rectangle is = 2(Length + Width )
Perimeter = 2( 30 +8)
Perimeter = 2 * 38 = 76 feet
Therefore George will need to do 76 ft. of fencing.
The complete question is
George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
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Answer:
late a-s-f but 68 ft
Step-by-step explanation:
MATHHH. Probability section!!! HELP!
please give the right answer.
Answer:
answer = 1/4 < 7/25
Step-by-step explanation:
the theoretical probability is that because the spinner has 4 equal sized sections, it should land on each 25 times, 25/100 is 1/4
28/100 is the experimental probability of landing on H, so that can be simplified to 7/25 as both numbers can be divisible by 4.
Hope this helps:)
Which set of ordered pairs represents a line that is perpendicular to the given set:
(12,3) (9.4)?
Using linear function concepts, it is found that a set of ordered pairs with a slope of 3 is perpendicular to the set (12,3), (9,4).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.If two lines are perpendicular, the multiplication of their slopes is of -1. The set (12,3), (9,4) has the slope given by:
m = (4 - 3)/(9 - 12) = -1/3.
Hence, for the perpendicular set:
[tex]-\frac{1}{3}m = -1[/tex]
m = 3.
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1+1= 2+1= 3+1= 4 so that is the answer to this difficult sum
Answer:
2 = 3 = 4 = 4
FIND THE EQUATION FOR THE LINE SHOWN
Answer:
y = 2x - 1
Step-by-step explanation:
gradient is defined as rise over run.
we need coordinates that are both whole numbers. from looking at the graph, I have (0, -1) and (1, 1)
for the run, 1 - 0 = 1
for the rise, 1 - -1 = 2
2 / 1 = 2
it crosses the y-axis at -1
therefore in the form y = mx + b, the equation is y = 2x - 1
what is the simlest form of the ratio 32:48
Answer: 2:3
Step-by-step explanation:
First list out the factors for 32 and 48
32- 1, 2, 4, 8, 16, 32
48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest factor they have in common is 16. So, divide both numbers by 16 to get the simplest form of the ratio.
32/16=2
48/16=3
The simplest form is 2:3
Need help finding the one complete period of a non transformed contangent function
One complete period of a non-transformed cotangent function is π.
The period of the function is defined as the interval after which the function value repeats itself.
For example, f(T+x)=f(x)
where T is the period of the function.
Here given that there is a non-transformed function cotangent function.
We have to find the period of the function in which interval the value of the function will repeat.
So for the function y=f(x)=cot x
the period of the function is π. means after π the value of the cotangent repeats.
cot(π+x)=cot x
Then one cycle of the cotangent graph lies between 0 and π.
Therefore One complete period of a non-transformed cotangent function is π.
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vType the correct answer in each box. If necessary, use / for the fraction bar(s). Given: . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,
m = (0-7)/(8-3) = -7/5
Substitute any one of the points in the equation,
y = -(7/5)x + c
7 = -(7/5)3 + c
7 = -21/5 + c
76/5 = c
Hence, the equation of the line is y=-(7/5)x + (56/5).
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rectangle has a base of 10 and a height of 5. What is the perimeter of the rectangle?
Answer:
30
Step-by-step explanation:
P=2(b+h)=2·(10+5)=30
The graph represents a function.
2
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
O (2, -1) O (-5,2) O (2,-5) (-2,5)
(-5, 2) is the only point which we plot in given graph then it still represent a function.
What is Function?A function is a special type of relation in which each and every element of set A have a unique image in its codomain set B.
Here, Given points on graph
{(-4, 2), (-2, -3), (2, 3), (3, -1)}
2 and -2 are already available in given ordered pair.
so only (-5, 2) is the only option which satisfies the definition of function.
Thus, (-5, 2) is the only point which we plot in given graph then it still represent a function.
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can someone please do this for me
The range is from the maximum point into infinity that is [4, infty) and the vertex is at (0, 4)
Vertex, domain and range of a functionThe given graph is a parabola. It represents the graph of a quadratic equation.
From the shown graph, the parabola has a maximum point at (0, 4). This is also the vertex of the graph
The domain area values along the x-axis while the range lies on the y-axis. From the graph shown, the domain is [-2, 2] (x lies between -2 and 2)
The range is from the maximum point into infinity that is [4, infty)
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) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?
Step-by-step explanation:
please mark me as brainlest
HELP ME PLEASEEE
Beatrice writes down every expression that appears in this problem set, one after the other, linking them with
+ signs between them. She is left with one very large expression on her page. Is that expression a polynomial expression? That is, is it algebraically equivalent to a polynomial?
What if she wrote - signs between the expressions instead?
What if she wrote × signs between the expressions instead?
Is that expression a polynomial expression?
yes because they are terms linked into one expression.
What if she wrote - signs between the expressions instead?
it would still be considered a polynomial.
What if she wrote × signs between the expressions instead?
no because it would be one huge term
The measure of an angle is 1/2 the measure of its supplement find the measure of each supplement. Help
Answer:
।बवछॅनछॅठै रटटृ रटटृरटॅलठट
A rectangular photograph measures 24 x 19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm. If one of the borders must be 2cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar. (I NEED HELP PLEASeeeeeeeeeeeeeeeee)
The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
So, Length of the rectangular photograph = 24 cm
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore, Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width so that the inner and outer rectangles are similar = 23cm
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The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
Therefore, Length of the rectangular photograph = 24 cm and
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore,
Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width for the inner and outer rectangles are similar = 23cm
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can 18 7 10 make a triangle
Answer:
No, 18 7 10 are can not make a triangle.
Step-by-step explanation:
First of all, what does a Triangle?
A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.
Three sides form a triangle : if sum of length of two sides is greater than the third side. But here
10+7=17 < 18.
That is the sum of two sides (10+7) is less than the third side i.e 18
So that 18 7 10 are can not make triangle.
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Answer:
18 7 10 are can not make a triangle.
Step-by-step explanation:
Definition of a Triangle
A figure that has three sides and three angles is knows as a triangle
And a property of a triangle is that the sum of length of two sides should always be greater than the third side.
We have given the length of sides as : 18 7 10
now check it :
(i) 18 + 7 = 25 which is greater than 10
(ii) 18 + 10 = 28 which is greater than 7
(iii) 7 + 10 = 17 which is lesser than 18
so the sum of two sides (10+7) is less than the third side 18
Therefore 18 7 10 are can not make triangle.
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Find the solution to the system
of equations.
4
y = 2x + 2
3
2
([?], [ ])
-4-3-2/1
1 2 3 4
y=-x-3
-1
-2
3
-4
Answer:
(- 2, - 2 )
Step-by-step explanation:
the solution to the system is at the point of intersection of the 2 lines.
the 2 lines intersect at (- 2, - 2) , then
solution to the system is (2, - 2 )
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.
A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200.
Which is the marginal relative frequency for the people who do not like cantaloupe?
StartFraction 25 Over 91 EndFraction
StartFraction 66 Over 200 EndFraction
StartFraction 91 Over 200 EndFraction
StartFraction 66 Over 91 EndFraction
The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/
The correct option is (C),
What is Marginal Relative frequency?Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.
Given:
Watermelon Not watermelon Total
Cantaloupe 93 16 109
Not cantaloupe 66 25 91
Total 159 41 200
Hence, the Marginal Relative frequency is = 91/200 = 0.455
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50 POINTS .....................
The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have data shown in the picture.
Let's suppose the regression line is:
y = mx + c
Where m is the slope of the regression line and c is the y-intercept of the line.
We can calculate the value of m and c by using the formula.
After calculating, we get:
m = 0.4925
c = -22.26
Mus. Apt. = 0.49253(IQ score) - 22.26
or
Mus. Apt. = -22.26 + 0.4925(IQ score)
Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
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Answer:
The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.
Write 3x^2+12x+20 in the form a(x+b)^2+c
The equation is written as 3(x+12)²+20.The formula for ax² + bx + c is (Ax + B)² + C.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
3x^2+12x+20
The equation is compared the equation with,ax²+bx+c
After comparing the equation we get;
a=3
b=12
c=20
The equation is written in the form as;
⇒a(x+b)^2+c
⇒3(x+12)²+20
The formula for ax² + bx + c is (Ax + B)² + C.
Hence the equation is written as 3(x+12)²+20.
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the question is below
Answer:
B. $4.75
Step-by-step explanation:
3(4) + 7 = 19
19/4=4.75
Answer:
B
Step-by-step explanation:
First, 3n + 7 while n = 4 then 3*4 = 12 + 7 = 19. Next, you do 19/4 which is
n
equal to 4.75.
I Hope This Helped :D
Please answer this thanks
Answer: down below
Step-by-step explanation:
1. How many hay bales did the farmer sell?
To do that, you need to divide the weight of a hay bale by the total weight of the hay bales that the farmer sold.
That will be 24,300 / 75 = 324 bales
2. Divide the new number (26,700) by the same number 75.
26,700 / 75 = 356 hay bales
Subtract the bales from last year to the bales from this year:
356 bales - 324 bales = 32 bales
One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0).
Which transformations could have taken place? Select two options.
Answer: C & D
Step-by-step explanation: Ro 270, Ro -90
Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT, Inc., which is not affiliated with, and does not endorse, this website. Copyright 2010-2022 edtell, LLC. All rights reserved. Portions of this software are copyrighted by other partie. Which integer is the smallest ? A. -84 B. -4 OC . 34 OD . 24 Advanced Placement , AP AP Central " , College Board " , and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT , Inc. , which is not affiliated with , and does not endorse , this website . Copyright 2010-2022 edtell , LLC . All rights reserved . Portions of this software are copyrighted by other partie .
Answer: B -4
Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.
The smallest integer among the options provided is option A, which is -84.
In the context of integers, smaller values are considered to be "less" than larger values.
In this case, we can compare the given integers to determine the smallest one.
Comparing the options:
A. -84
B. -4
C. 34
D. 24
Out of these options, -84 is the smallest integer because it has the lowest numerical value.
The negative sign indicates that it is a number less than zero, and the absolute value of 84 is greater than the absolute values of -4, 34, and 24.
Therefore, based on numerical value, -84 is the smallest integer among the options given.
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Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?
Step-by-step explanation:
hope it helps you understand
