When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio.
What is ratio?A comparison between two items by means of a number. (arithmetic) comparing two quantities' relative magnitudes (usually expressed as a quotient).
When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 40% are girls, and 14% are boys.
Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B). By doing so, you are multiplying information A by information B. Your ratio will be 5/10, for instance, if A is 5 and B is 10.
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Find an equation in slope interact form of the number of pizzas sold as a function of time for Mario's
Answer:
[tex]y = 3x+7[/tex]
Step-by-step explanation:
Given
See attachment for Mario's pizza table
Required
Determine the equation in slope intercept form
First, we calculate the slope of the table using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (3,16)[/tex]
[tex](x_2,y_2) = (5,22)[/tex]
So, the slope is:
[tex]m = \frac{22 - 16}{5 - 3}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (3,16)[/tex]
[tex]m =3[/tex]
So:
[tex]y = 3(x - 3) + 16[/tex]
Open bracket
[tex]y = 3x - 9 + 16[/tex]
[tex]y = 3x+7[/tex]
Solve Y, using the Pythagorean Theorem.
Answer:
y = 8.9
Step-by-step explanation:
8^2 + y^2 = 12^2
64 + y^2 = 144
subtract 64 from both sides
y^2 = 80
square root both sides
y = square root 80
y = 8.9
Are the two triangles similar? Why or why not?
Answer:
yes
Step-by-step explanation:
cause they are both triangles duhhhh
Answer:
yes bc they both make a 90* TURN
In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less than three times the number of national battlefields. How many of each park unit were there?
Answer: 11, 30
Step-by-step explanation:
Given
There were a total of 41 national battlefields and national memorials
Suppose there are [tex]x[/tex] national battlefields
So, national memorials are [tex]3x-3[/tex]
The sum of the two must be 41
[tex]\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11[/tex]
So, there are 11 national battlefields and [tex]3\times 11-3=30[/tex] national memorials.
For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?
The value of 'a' for which the system of equations has a unique solution is a = 4/3.
The given system of equations can be written as:
Ax = 2
6x – 2y = 3
To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.
Solving for 'x' in the first equation, we get:
x = 2/a
Solving for 'y' in the second equation, we get:
y = (3 + 6x)/2
Substituting the value of 'x' in the above equation, we get:
y = (3 + 6(2/a))/2
Equating the two equations, we get:
2/a = (3 + 6(2/a))/2
Multiplying both sides of the equation by 'a', we get:
2 = 3a + 6
Subtracting 2 from both sides of the equation, we get:
3a = 4
Dividing both sides of the equation by 3, we get:
a = 4/3
Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.
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Find the lope-intercept equation of the line that pae through (1,-3) and ha a lope of -1/4
The slope intercept form of the equation is
y = -1/4x -11/4
What is Slope Intercept form ?One of the most popular ways to describe a line's equation is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope intercept formula may be used to get the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.
The slope intercept form is a technique for figuring out a straight line's equation in the coordinate plane. Any point's coordinates on a straight line must fulfill a certain relation, which is known as the equation of a straight line.
Any location that is not on the line will not fulfill the coordinates.
This equation's solution is simple to find. A straight line's slope, or angle of inclination from the x-axis, and the intercept it makes with the y-axis are both necessary to determine the slope intercept form of the line.
The line passes through (1,-3)
slope = -1/4
The equation of the line
y = mx + c
here m is the slope and c is the intercept.
putting the point and slope in the equation
-3 = -1/4 *1 + c
⇒ c = -11/4
So the slope intercept form of the equation is
y = -1/4x -11/4
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Can someone please help I need the answers please!!!!!!!!!!!!
Circle of circumstances
The circumference of the circle is 2πr.
What is circumference of a circle?The circumference of a circle is the distance around the outside of the circle. It is given by the formula C = 2πr, where C is the circumference, π is the mathematical constant approximately equal to 3.14 and r is the radius of the circle. In other words, the circumference is equal to the diameter times pi.
For the given question,
The formula of the circumference of the circle,
C = 2πr
where r is the radius of the circle.
Hence we can conclude that the circumference of the circle is 2πr.
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Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the function h of t = negative 16 times t squared plus 85 t + 5.. During what interval will the rocket be at least 43 feet above the ground?
Answer:
t = [0.493,4.2]
Step-by-step explanation:
The height of the rocket straight up into the air is given by :
[tex]h(t)=-16t^2+85t+5[/tex]
We need to find the interval the rocket be at least 43 feet above the ground.
[tex]43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s[/tex]
So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
y = 32.5
x = 13
Step-by-step explanation:
opposite angles of the parallelogram are equal to each other.
parallelograms form 360° in total
so 60+ 55 = 115 * 2 (because two angles) = 230
360 - 230 = 130 (divide this by two to get one angle of the parallelogram) so 65°
2y = 65 °. and 5x = 65 °
y = 32.5
x = 13
What is the theoretical probability that an even number will be rolled on a number cube?
Answer:
out of 36 rolls, 15 were positive. 15/36 simplified is 5/12
Answer:
15/36 is the probability there i believe i might be wrong
Step-by-step explanation:
Is the following graph proportional or non proportional?
PLS HELP:((
Answer:
Proportional
Step-by-step explanation:
Proportional, because the graph goes through (0, 0). If the line crossed the y-axis elsewhere, the function would NOT be proportional.
Find the solution of the system of equations.
-7x - 3y = - 20
3x+ 6y = -15
Answer:
x = 5 y = -5
Step-by-step explanation:
-7x - 3y = -20
-3y = 7x - 20
y = -7/3x + 20/3
3x + 6(-7/3x + 20/3) = -15
3x - 14x + 40 = -15
-11x = -55
x = 5
-7(5) - 3y = -20
-35 - 3y = -20
-3y = 15
y = -5
what is 9.5 is what % of 50 i have a test tomorrow 1/11/23 and I dont understand it
The percentage statement is 9.5 is 19% of 50
How to determine the percentageFrom the question, we have the following parameters that can be used in our computation:
9.5 is what % of 50
Complete the blank with x
So, we have the following representation
9.5 = x% of 50
So, we have
9.5 = x% * 50
Divide both sides by 50
0.19 = x%
Multiply both sides by 100
So, we have
x = 19
Hence, the solution is 19
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A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest
having an altitude of 8849m. Calculate the value of ‘g’ at that point.
Answer: A pendulum of length 1m and period 2.01s is placed at the top of Mount Everest having an altitude of 8849m. Calculate the value of 'g' at that point.
The period of this pendulum can be solved using the formula shown in the picture below. T is the period in seconds; L is the length in meters and g is the acceleration due to gravity which is equal to 9.81 m/s²near the equator.
T = 2 × π × (square root of 1.00 m / 9.81 m/s²)
T = 2 * 3.1416 * (square root of 0.101936799)
T = 6.2832 * 0.319275428
T = 2.00 seconds
The period of this pendulum correct to 3 significant figures is 2.00 seconds.
The frequency of this pendulum is solved by the formula f = 1/T
f = 1/2.00 seconds
f = 0.500 hertz
Answer: 9.76 m/s^2
Step-by-step explanation:
Steve ran a 12-mile race at an average speed of 8 miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
Answer:
the picture is the formula.
D stands for distance
S stands for speed
T stands for time
Step-by-step explanation:
Steve
Time = Distance divided by speed
=12miles divided by 8miles per hour
=1.5hours or 90minutes
Distance= 12miles
Speed= 8miles per hour
Adam
Speed= 6miles per hour
Distance= 12miles
Time= distance divided by speed
= 12miles divided by 6miles per hour
=2hours or 120minutes
120minutes - 90minutes=30 minutes
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order
An expression that represents the total cost of an order of n number of tickets: 35n + 15
Let n be the number of tickets to a concert.
Let C be the cost for the tickets
Given that the tickets to a concert are $35 each.
So, by unitary method the cost of n number of tickets would be,
n × 35
And the cost for the tickets would be,
C = 35n
In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
So, the cost for the tickets would be,
C = 35n + 15
This is the required expression.
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The complete question is:
Tickets to a concert are $35 each. In addition to the cost for the tickets ordered, there is a $15 processing charge per order.
Write an expression that represents the total cost of an order of n number of tickets.
1. Length and breadth of a rectangular table-top are 36 cm and 24 cm respectively. Find its perimeter.
Answer:
120 cm.
Step-by-step explanation:
The perimeter of a rectangle is found by adding up the length of all four sides. In this case, the length is 36 cm and the breadth is 24 cm. Therefore, the perimeter of the rectangular table-top is
2 (length + breadth) = 2 (36 + 24) = 2 × 60 = 120 cm.
Can anyone help me on the first question??
Mohammed is x years old.
Jenny is 7 years older than Mohammed.
Mario is 3 times the age of Mohammed.
The total of their ages is 82.
What are their ages?
what is the slope and y-intercept for y=3/4x
Answer:
the slope is
[tex] \frac{3}{4} [/tex]
and y intercept is 0
The Jackson family is planning a weekend vacation. They plan to rent a car from the ABC Car Rental Company. Let m represent the number of miles the family will drive. Let c represent the cost for renting a car. Write an equation that shows what the cost for renting a car will be.
Weekend Special: $40 + $0. 10 per mile
An equation that shows what the cost of renting a car will be: C=R+mc.
Let the rental cost = R
consider m to be the number of miles driven= m
let c be the cost per mile
And C is the total cost of renting;
Then C = R+mc
the given equation $40 + $0. 10 per mile
Now, in the above equation consider:
R =$40 ( the rental cost)
c = $0.10 ( the cost per mile)
The total cost is C = $40+$0.10m
Ex:
if m is known assume m=1000 miles
Then the total cost C = $40+($0.10/mile)(1000miles)
then C = $40+$100=$140
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choose sss, sas, or neither to compare these two triangles
Answer:
SSS
Step-by-step explanation:
We have three pairs of corresponding, congruent sides. Therefore, the SSS Postulate can be used to prove the two triangles congruent.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
Weight of each type of box:
Weight of each big box = 18.75 kg
Weight of each small box = 13.75 kg
What is an equation?The relationship between two terms on either side of a letter is represented by a mathematical formula. Often there is a variable and an equals sign.
The definition of an equation in algebra is a formula that shows the equivalence of two mathematical terms. For example, in the expression 6x + 11 = 14 the two terms 6x + 11 and 14 are separated by the "equals" symbol.
To let
Weight of each big box = x
And the weight of each small box = y
Weight of 3 big boxes:
3 times
5 small box weights:
5 years
3x + 5y = 125 .......................(i)
resemble:
9x + 7y = 265 ......................(ii)
Equation (i) multiplied by -3:
-3 (3x + 5y) = 125 * (-3)
-9x - 15y = -375 ...................(iii)
Under (ii) and (iii):
9x + 7y = 265
-9x - 15y = -375
Adding this gives:
-8y = -110
or y = 110/8
or y = 55/4
y = 13.75
From equation (i), we have:
3x + 5y = 125
or 3x + 5(13.75) = 125
or 3x + 68.75 = 125
3x = 125 - 68.75
3x = 56.25
x = 56.25/3
x = 18.75
Each large box weighs:
18.75 kilograms
Weight of each small box:
13.75 kilograms
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I don’t understand and also any fake answers will be reported
The first graph shows the correct location of the points.
what was the total number of gallons of paint sold?
Answer:
1,600
Step-by-step explanation:
Divide 240 by 3. This is 80, or 5% of the total.
Multiply 80 by 20, to get 1,600, 100% of the total
HEEEEEEEEEEEELLLLLLLLLPPP? BRAINLIST WILL BE REWARDED!
87.5 - 23.4 *
O 64.1
O 110.9
054.1
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer....
1st Option : 64.1Hope it helps!
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(2x + 3) (3x + 4) it says to solve that in box method
Please help don't ignore
Determine if the number below is written in correct scientific notation, why or why not.
[tex]56.987 \times {10}^{5} [/tex]
No links
Don't answer if your not going to help
Answer:
a×10⁰ where (a the number) should always be less than 10
hope it helps :)