The number of boys and girls in a class of 150 students is 90 and 60 respectively.
RATIO:
Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.
i.e., it shows how many times a number contains another.
Total number of students = 150
ratio of boys to girls = 3 : 2
B:G = 3 : 2
now
3x + 2x = 150
5x = 150
x = 30
the number of boys = 3x = 3 X 30 = 90 boys.
the number of girls = 2x = 2 X 30 = 60 girls.
The number of boys and girls in a class of 150 students is 90 and 60 respectively.
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20 divided by cos70°
Answer:
31
Step-by-step explanation:
The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
We have to given that,
A number 20 divided by cos70°.
We can simplify the expression as,
20 divided by cos70°
⇒ 20 ÷ cos 70°
⇒ 20 / cos 70°
⇒ 20 / 0.34
⇒ 20 x 100 / 0.34x100
⇒ 2000/34
⇒ 58.82
Therefore, The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
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Use mental math to subtract 3,273-1,256=
Answer:
Ima say 2017
Step-by-step explanation:
If the average daily sales in a store for the past 5 days was (2.3q + 1.4) dollars, express the total sales amount for the past 5 days as an algebraic expression.
The algebraic expression is C(5) =2.5 * 5 + 1.4 and the total cost is $13.9
How to determine the total sales amount?From the question, the equation of the total sales amount is given as
Equation = 2.3q + 1.4
Where q represents the number of days
Rewrite as
Cost = 2.3q + 1.4
Express the equation as a cost function
So, we have the following representations
C(q) = 2.3q + 1.4
When the number of days is 5, we have
q = 5
Substitute the known values in the above equation So, we have the following equation
C(5) =2.5 * 5 + 1.4
Evaluate the products
C(5) = 12.5+ 1.4
Evaluate the sum
C(5) = 13.9
Hence, the total cost for the 5 days is $13.9
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Can anyone write the equation of the graph?
Answer:
f(x) = |x-3| + 5
How to solve and answer for IXLs
Answer: r = 77.3 degrees
Step-by-step explanation:
-Add both numbers together.
- 46.2
+ 31.1
= 77.3
-That is the value of "r".
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
75, 76, 77, 78, ...
Answer:
x + 1
Step-by-step explanation:
75+n2+n3...+..77..+..n99++
Difference = 76-75=1
x + 1
Where x is the chosen/inital number.
Can anyone state the vertex of the graph?
Given the graph, the vertex does not exist and the transformations from are
Vertical shift down 2Horizontal shift left 4How to calculate the vertex of the graph?The graph represents the given parameter
In the above graph, we can see that the graph is a cubic function
By definition, cubic functions do not have vertex. This is because they have no minimum or maximum
So, we can conclude that the graph has no vertex
The transformation from the parent functionIn (a), we have
We can see that the graph is a cubic function
This function is represented as
y = ∛x
In this graph, we can see that the graph is 4 units to the left
i.e. y = ∛(x - 4)
And 2 units below the origin
i.e. y = ∛(x - 4) + 2
So, the transformation is (b) and (c)
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Which equation represents a line which is perpendicular to the line y=-4x-5?
A. x+4y=-32
B.4x+y=3
C.4x−y=−4
D.4y−x=4
Answer:
D.4y−x=4
Step-by-step explanation:
Perpendicual lines have a slope that is the negative inverse of the referenced line. The reference here is:
y = -4x-5
The slope is -4
The negative inverse of -4 would be +(1/4). Any line that has a slope of +(1/4) will be perpendicular to y=-4x+5.
The equations in the answer options are not arranged according to the standard format of y=mx+b, where m is the slope and b the y-intercept.
We could graph all the equations and look for the one(s) that are perpendicualr, but it might be safer, and faster, to rearrange them in the standard format, and then note the slope:
Slope =+(1/4)?
A. x+4y=-32
4y= -x-32
y = -(1/4)x-8 -(1/4) NO
B.4x+y=3
y = -4x + 3 -4 NO
C.4x−y=−4
y = 4x + 4 4 NO
D.4y−x=4
4y=x+4 +(1/4) <==YES
y=(1/4)x+1 [Option D has a slope of +(1/4). It will be perpendicular]
See the attached graph.
how many degrees in a right angle
Answer:
90 degrees is the amount of degrees in a right angle
What’s the answer 60 points plus brainliest also explanation needs to be included
Answer:
both a and b
Step-by-step explanation:
It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:
-4x+6y=40
4x+6y=8
so the -4x and 4x cancels and a is a valid option.
If you use the b which multiplies the second with 3 it becomes:
2x-3y=-10
4x+3y=24
so -3y and 3y cancel which also makes this a valid option.
Answer: both a and b
The dimensions of a rectangular garden are 15 yards by 20 yards. A sidewalk, one yard wide, is to be built around the outside of the garden. What will be the area of the sidewalk?
Answer:
74 square yards
Step-by-step explanation:
Area of two-dimensional shapes:Area of rectangular garden:
l = 20 yds
w = 15 yds
Area of the rectangular garden = l *w
= 20 * 15
= 300 square yards.
Area of the outer rectangle (rectangular garden and the sidewalk):
length = 20 + 1 + 1 = 22 yds
width = 15 + 1 + 1 = 17 yds
Area of outer rectangle = 22 * 17
= 374 square yards
To find the area of the sidewalk, subtract the area of rectangular garden from the outer rectangle.
Area of the sidewalk = area of outer rectangle - area of sidewalk
= 374 - 300
= 74 square yards
a triangle has sides with lengths of 10meters, 16 meters and 20meters. is it a right angled triangle
Answer:
It is not a right triangle.
Step-by-step explanation:
If the triangle were a right triangle, then the Pythagorean theorem would apply.
The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]
If A = 10, B = 16, and C = 20, then [tex]10^{2} + 16^{2} = 20^{2}[/tex].
[tex]10^{2} + 16^{2} = 100 + 256 = 356[/tex]
[tex]20^{2} = 400[/tex]
In conclusion, [tex]356 \neq 400[/tex], so this triangle is not a right triangle.
Identify the kind of sequence shown: 2,-1,-4, -7, -10, ... *
O Arithmetic
O Geometric
ONeither
a survey has an error in departure (ed) of 0.35 ft, and error in latitude (el) of 0.82 ft. the total distance covered i the survey is 684.5 ft. compute the precision (choose the answer that is closest)
The correct value for the precision is found to be 0.0013 for the survey.
What is called the precision in surveying?Our measurement processes take into account accuracy and precision. How precisely a measurement or observation compares to a predetermined value or benchmark defines its accuracy. Contrarily, precision is the degree to which a measurement is repeatable precisely without reference to any specific significance or standard.The formula for finding the precision is-
Precision = E(closure)/ Perimeter
E(closure) = √(ed)² + (el)²
Where,
error in latitude (el) = 0.82 ft
error in departure (ed) = 0.35 ft.
Perimeter = 684.5 ft.
Find the E(closure)
E(closure) = √(0.82)² + (0.35)²
E(closure) = 0.89
Precision = 0.89/684.5
Precision = 0.0013
Thus, the correct value for the precision is found to be 0.0013 for the survey.
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What is the value of z? (The figure May not be drawn to scale.)
The value of z is given by (b) z = 63.
According to Angle Sum Property, the sum of interior angles of a triangle is 180 degree.
So for left hand triangle, interior angles are 31, 61 and x. So,
31 + 61 + x = 180
92 + x = 180
x = 180-92
x = 88
Now x and y are the linear angles so their sum is 180 degree too.
x + y = 180
88 + y = 180
y = 180-88 = 92
Again for right hand triangle the interior angles are 25, y, z. So again by Angle Sum Property,
25 + y + z = 180
25 + 92 + z = 180
117 + z = 180
z = 180-117 = 63
Hence the value of z is 63.
So the correct option is (b).
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BRAINLIEST!! A helicopter descends until it reaches the ground. The equation y=-300x+ 1200 gives the height. Y, in feet, x minutes after the pilot begins the descent
Graph for the equation ( y = -300x + 1200 ) below
y-intercept = ( 0, 1200 )
x-intercept = ( 4, 0 )
Hope this helps! :)
The y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
y=-300x+ 1200
Now, for y- intercept put x=0
y= 1200
and, for x- intercept put y= 0
0 = -300x +1200
x= 4
Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).
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(b)
Simplify
45e6f8
5ef²
compute the equilibrating economic activity *y in terms of other variables. this is the dd schedule, if viewed as a function of e through q.
Economic equilibrium is a condition or state in which economic forces are balanced. In effect, economic variables remain unchanged from their equilibrium values in the absence of external influences.
Economic equilibrium is also referred to as market equilibrium. Economic equilibrium is the combination of economic variables (usually price and quantity) toward which normal economic processes, such as supply and demand, drive the economy. The term economic equilibrium can also be applied to any number of variables such as interest rates or aggregate consumption spending. The point of equilibrium represents a theoretical state of rest where all economic transactions that “should” occur, given the initial state of all relevant economic variables, have taken place.
In a competitive market, demand for and supply of a good or service determine the equilibrium price.
Equilibrium:MARKETS:
Equilibrium is achieved at the price at which quantities demanded and supplied are equal. We can represent a market in equilibrium in a graph by showing the combined price and quantity at which the supply and demand curves intersect.
For example, imagine that sellers of squirrel repellant are willing to sell 500 units of squirrel repellant at a price of $5 per can. If buyers are willing to buy 500units of squirrel repellent at that price, this market would be in equilibrium at the price of $5 and at the quantity of 500 cans.
Disequilibrium:Whenever markets experience imbalances—creating disequilibrium prices, surpluses, and shortages—market forces drive prices toward equilibrium.
A surplus exists when the price is above equilibrium, which encourages sellers to lower their prices to eliminate the surplus.
A shortage will exist at any price below equilibrium, which leads to the price of the good increasing.
For example, imagine the price of dragon repellent is currently $6 per can. People only want to buy 400 cans of dragon repellent, but the sellers are willing to sell 600 cans at that price. This creates a surplus because there are unsold units. Sellers will lower their prices to attract buyers for their unsold cans of dragon repellant.
Changes in equilibrium :Changes in the determinants of supply or demand result in a new equilibrium price and quantity. When there is a change in supply or demand, the old price will no longer be an equilibrium. Instead, there will be a shortage or surplus, and price will subsequently adjust until there is a new equilibrium.
For example, suppose there is a sudden invasion of aggressive unicorns. There will be more people who want to buy unicorn repellent at all possible prices, causing demand to increase. At the original price, there will be a shortage of unicorn repellant, signaling sellers to increase the price until the quantity supplied and quantity demanded are once again equal.
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Question 1 of 10
Which of the following is the solution to | x1-2 ≤-3?
O A. All values are solutions
OB. xs-1 and x 25
OC. xs-1
OD. No solution
x = -1 is the solution to the given inequality |x| - 2 ≤ -3.
The five steps to resolving inequalities are as follows?
When addressing an inequality, we can:
Equal numbers are added to both sides.Take the same amount away from both sides.Add the same positive number to both sides.Subtract the same positive value from both sides.Reverse the sign and multiply both sides by the same negative value.Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. First, multiply each side by two to isolate the x. Any action you take toward one side must also be taken toward the other.
C) If x = -1,
|x| - 2 ≤ -3
|-1| - 2 ≤ -3.
1 - 2 ≤ -3.
-1 ≤ -3 which is true.
Hence, x = -1 is the solution to the given inequality |x| - 2 ≤ -3.
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White and solve a system of inequalities to model the following situation:
A retail store manager makes comty cloth facemasks for his employees during covid.
He has enough money to buy $100 worth of fabric.
Fabric costs $4 for a single layer mask and $6 for a mask with 2 layers of fabric.
It takes him 30 minutes to make a single layer mask and 1 hour to make double layer mask.
He only has 15 hours available to work on masks.
He wants to maximise his time and resources.
How many of each type of mask should he make
The system of inequalities for this situation are
Cost inequality = $4x + $6y ≤ $100
Time inequality = 30x + 60 ≤ 900
And the retailer should make 10 single layer and 10 2-layer mask by using the available time and cost.
System of inequalities
When two or more algebraic expressions are compared using the mathematical symbols like <, > ≤, or ≥, then they form an inequality. They are the mathematical expressions in which both sides are not equal.
Given,
A retail store manager makes cotton cloth facemasks for his employees during Covid. He has enough money to buy $100 worth of fabric. Fabric costs $4 for a single layer mask and $6 for a mask with 2 layers of fabric. It takes him 30 minutes to make a single layer mask and 1 hour to make double layer mask. He only has 15 hours available to work on masks. He wants to maximize his time and resources.
Here we need to find the system of inequalities and we also need to find each type of mask should he make.
Let us consider x be the number of single layer mask and y be the number of 2 layer mask.
Then based on the given cost, the cost inequality is written as,
$4x + $6y ≤ $100.
Here we know the time taken for each mask making, so, in the inequality form, it can be written as,
We know that,
1 hour = 60 minutes
So, 15 hours = 900
Therefore, the inequality of time is written as,
30x + 60 ≤ 900
While we plot these values on the graph then we get the graph like the following,
Here the blue line represent the time inequality and the red line represents the cost inequality.
Through the given graph, we have identified that the retailer should make 10 single layer and 10 2 layer mask by using the available time and cost.
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An iocele triangle ha a bae length of 126 unit and a height of 16 unit find the length of one of thoe leg
The length of one of the legs of the triangle is 65 units.
An isosceles triangle has a base length of 126 units and a height of 16 units. We need to find out the length of one of the legs of the triangle.
First of all, we will consider a perpendicular bisector of the triangle. This divides the given triangle into two equal right-angled triangles. Now, in the smaller triangle, we will use the Pythagorean theorem.
Let the length of the leg be represented by the variable "x". The length of the base of the right-angled triangle is half the length of the base of the original triangle.
x² = (16)² + (126/2)²
x = √(256 + 3,969)
x = √4,225
x = 65
Hence, the length of one of the legs of the triangle is 65 units.
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Kenneth has entered a check payment of $350.25 in his checkbook. If the old balance was $545.95, what is his latest balance?
A.
$896.25
B.
$195.70
C.
$195
Answer: $195.70
Step-by-step explanation:
50 Points
What is the best approximation of the solution to the system to
the nearest integer values?
O(7, -2)
O(-2, 6)
O (6, -2)
O(-2,7)
Answer:
B) (-2, 6)Step-by-step explanation:
The solution of linear system of equations is the point of intersection of the lines.
Closer view of the graph gives us the point ( - 2, 6 ). See the attached.
Add vertical and horizontal lines from the point of intersection and take the closest values to the integer numbers on the x-axis and the y-axis. The numbers are -2 on the x-axis and 6 on the y-axis, therefore the answer is (- 2, 6).
The matching choice is B.
The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answer:
Step-by-step explanation:
In a shop the price of a radio is reduced by one third. if the original price of the radio is two thousand four hundred naira,what is the reduced price
If the original price of the radio is 2,400 Naira and it is reduced by one third, then the discounted price is 1,600 Naira.
A store usually provides discount of some items to attract more customers and make greater sales.
Suppose the original price is p, the discount rate is d%, and the discounted price is q, then the discounted price can be calculated as:
q = (1 - d%) x p
Parameters given in the problem:
p = 2,400 Naira
d = 1/3
Hence,
q = (1 - 1/3) x 2400
q = 2/3 x 2400 = 1600
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help plss!!!
Based on the tables showing the price of buying different amounts of two brands of sugar. Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?
Answer: b
Step-by-step explanation:
Answer:
He will save 1 cent per pound if he buys the Sweet Sugar brand
fast pls!!!!!!!!!!!!!!!!!!! What is the product?
67 times 48 = blank
2,966
3,016
3,116
3,216
Answer:
D, 3216
Step-by-step explanation:
Calculators are great. I love calculators.
which is the name for the level of the independent variable intended to represent a neutral condition?
The level of a independent variable known to as the "Control group" is designed to portray a neutral state.
Define the term independent variable?The cause is the independent variable. Its value is unaffected by the other study variables.
You plan a study out whether variations in the room's temperature have an impact on students' math test results.
The interior temperature of the space is your independent variable. By making the room cooler for 1⁄2 the participants and warmer for other half, you can change the temperature.Experimental findings in mathematics are your dependent variable. Using a standardized test, you measure each participant's math prowess to see if there are significant temperature-related differences.Consequently, "control group" refers to a level of such an independent variable that is meant to stand in for "no treatment" or a neutral circumstance.
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can someone help me really quick
Answer:
2 swimming pool lengths
Step-by-step explanation:
to answer this we divide 1/2 by 1/4
1/2/1/4
1/2x4/1=4/2
2 swimming pool lengths
hopes this helps please mark brainliest
parameters are group of answer choices numerical characteristics of a sample. numerical characteristics of a population. the averages taken from a sample. numerical characteristics of either a sample or a population.
The correct answer is Option B. Parameters are defined as a group of numerical characteristics of a population.
Parameters are generally the numbers or values that represent the whole population's numerical characteristics. There is a difference between Statistics and Parameters.
Statistics is generally defined as the numerical characteristics of a sample. For example, a sample of standard mean or a sample of standard deviation is an example of statistics.
Parameters are the numerical representation of the characteristics of a population. For example, Population mean or Population standard deviation are examples of Parameters. These represent the data or the characteristics of the population in numerical.
Hence, the correct answer is Option B.
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The correct answer is Parameters are described as a group of numerical characteristics of a population.
In general, Parameters are the numerical values that represent the entire population's numerical characteristics. There is a variation between Statistics and Parameters. Statistics are defined as the numerical characteristics of a sample. A sample of standard mean deviation or a sample of standard deviation are examples of statistics.
Parameters are the numerical portrayal of the characteristics of a population. Population mean deviation or Population standard deviation are examples of Parameters. These depict the information or the characteristics of the population in a numerical way.
Hence, the correct answer is Parameters are described as a group of numerical characteristics of a population.
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