Therefore , the solution of equation problem is the two numbers
are x = -2, y = 4.
What or who exactly is the equation?A mathematical formula between the two statements is employed to denote equality when the equivalent letter (=) is utilized. The equivalence of numerous mathematical variables is demonstrated using algebraic equations, which are statements of fact. For instance, the expression data d + 6 = 12 separates the values document d + 6 or 12 with an equal sign. One can quantify the number of syllables that each sides of each symbol corresponds to. A symbol's meaning usually runs counter to itself.
Here,
Assume that x is the first integer and y is the second. From the information provided, we can infer that:
3x + 2y = 22
We also knew that the two numbers add up to 9, thus
x + y = 9
A technique like substitution can be used to determine the values for x and y. One equation can be solved for a single variable, and the solution can then be used as a stand-in for the other equation.
The initial equation for y is solvable as follows:
y = (22 - 3x)/2
Then, in the second equation, swap this expression for y:
x + (22 - 3x)/2 = 9
By condensing and figuring out x, we get at:
2x + 22 = 18
x = -2
Knowing x = -2 allows us to rewrite the first equation and determine y:
3(-2) + 2y = 22
y = 4
So the two numbers are x = -2, y = 4.
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Please help me with this math question! Thank you!
Answer:
D
Step-by-step explanation:
Graph D has a y intercept of 3 and a slope of 6.25
It took Felicidad 3 hours and 20 minutes longer to ride her bicycle
125 kilometers than it took Emma to ride 75 kilometers. If they both rode at the same rate, find this rate.
dose anyone remember how to do this,please give a explanation
Answer:
the answer for 2 examples is in the picture
Find the mistake: Explain what the person did incorrectly while solving the problem or how you would solve it.
7x + 8 - 5x = 30
7x + 8 - 5x = 30
2x + 8 = 30
+8 +8
2x = 38
-divide each side by 2
x = 19
Answer:
the mistake is from the 5th line
from the 3rd line,
2x+8=30
therefore,
2x=30-8
2x=24
x=24/2
x=12
5
Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y> 2x + 4
x+y≤6
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
10-
8-
6-
4
Delete
Undo
Reset
A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.
How to graph the solution to this system of inequalities?In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;
y > 2x + 4
x + y ≤ 6
Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (2/3, 16/3) or (0.667, 5.333)
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Find the amount paid for a loan of $1000 at 7% for 2 years.
I NEED ANSWERS ASAP!
Answer:
$ 140.00.
Step-by-step explanation:
I = $ 140.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
I = 1000 × 0.07 × 2 = 140
I = $ 140.00
The simple interest accumulated
on a principal of $ 1,000.00
at a rate of 7% per year
for 2 years is $ 140.00.
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Using the 28/36 ratio what is the maximum monthly mortgage payment if you make $75,500 per year?
A practical formula for determining how much debt an individual or household should take on is known as the 28/36 rule
What Is the 28/36 Rule?A practical formula for determining how much debt an individual or household should take on is known as the 28/36 rule. A household should spend no more than 28% of its gross monthly income on total housing costs and no more than 36% on total debt servicing, which includes both housing and other debts like credit card and auto loan payments. This rule is frequently applied by lenders when deciding whether or not to offer applicants credit.Based on their income, existing debts, and way of life, the 28/36 rule helps evaluate how much debt a household may responsibly take on.When creating their monthly budgets, some consumers could apply the 28/36 guideline.Even if a consumer doesn't immediately apply for credit, following the 28/36 rule can help to increase the likelihood of credit approval.Numerous insurers change their requirements in relation to the 28/36 guideline, with some requiring lower percentages and others larger percentages.To learn more about 28/36 Rule refer to:
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Find the equation of a line that passes through the points (2, 5) and (5, -4)
The required equation of the line is y = -3x +11 which passes through the points (2, 5) and (5, -4)
What is the slope of the line?The slope is simply expressed as an inclination of the line in the coordinate system.
Slope m = (y₂ - y₁) / (x₂ - x₁)
Given that the line that passes through two points (2, 5) and (5, -4)
Let x₁ = 2, y₁ = 5 and x₂ = 5, y₂ = -4
The required equation of the line is
y - y₁ = {(y₂ - y₁ )/( x₂ - x₁ )}( x - x₁ )
Substitute the values in the formula to get the slope of the line,
y - 5 = {(-4 - 5 )/( 5 - 2)}(x - 2)
y = {( -9 )/( 3 )}(x - 2) + 5
y = -3x + 6 + 5
y = -3x +11
Therefore, the required equation of the line is y = -3x +11
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Help again! I need help
Answer:
10/17
Step-by-step explanation:
if its given they got a B then that means you have to take how many females divided by the total number of people who got B's.
Therefore, 20/34.
Which can simplified to 10/17.
What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}? A. {6, 12, 18, 20, 24} B. {6, 12, 18, 24, 30} C. {-12, -6, 0, 6, 12} D. {0, 6, 12, 18, 24}
The range of the function for the given domain is the one in option D.
{0, 6, 12, 18, 24}
How to find the range?Here we want to find the range of the function:
f(x) = 12 - 3x
For the domain {-4, -2, 0, 2, 4}
To find the range, we just need to evaluate the function f(x) on all the values of the domain, we will get:
f(-4) = 12 - 3*(-4) = 24
f(-2) = 12 - 3*-2 = 18
f(0) = 12 -3*0 = 12
f(2) = 12 - 3*2 = 6
f(4) = 12 - 3*4 = 0
So the range is just the set of these values {0, 6, 12, 18, 24}
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3.7.2 checkup geometry practice problems
Answer:I don’t understand it I would help
Step-by-step explanation:
A bicyclist, initially at rest, begins pedaling and gaining speed steadily for 4.70s during which she covers 31.0m.
What was her final speed?
Answer: The final speed of the bicyclist is 6.60m/s.
Step-by-step explanation:
To find the final speed of the bicyclist, we need to use the formula:
Speed = Distance / Time
We know that the distance covered by the bicyclist is 31.0m and the time taken to cover that distance is 4.70s. So, we can substitute these values into the formula:
Speed = 31.0m / 4.70s
Solving this equation, we get:
Speed = 6.60m/s
So, the final speed of the bicyclist is 6.60m/s.
in what place is the underlined number , the number is 305.46 and the underlined number is 4
Books were on sale for 20% off of the original price. Walter bought a book on sale that had an original price of $25.50.The sales tax was 6.5%.How much did walter pay for the book
The total amount of money Walter paid for the book after the removal of discount and addition of sales tax is $21.726
What amount did Walter paid for the book?Percentage discount = 20%
Original price = $25.50
Sales tax = 6.5%
New price after discount = $25.50 - (20% × $25.50)
= 25.50 - (5.1)
= $20.4
Actual amount paid with sales tax = $20.4 + (6.5% × $20.4)
= 20.4 + 1.326
= $21.726
Therefore, Walter paid $21.726 for the book after discount and sales tax have been applied.
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6-2 Part 2 Warm Up Quiz
1. The speeds of cars are measured using a radar unit, on a freeway. The speeds are
normally distributed with a mean of 60 mi/hr and a standard deviation of 5 mi/hr.
a. What is the probability that a car selected at chance is moving at more than
70mi/hr?
b. If you are traveling 80 mi/hr on the freeway, explain if you are traveling at a
significantly high speed. Why?
The probability that a car selected at chance is moving at more than 70mi/hr is 0.02
What does "normal" describe in statistics?Normal usually refers to the word "normal" in a normal distribution.
The word normal is used when something occurs that has occurred frequently. The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from the mean, its chances decrease.
Since the speeds of cars are normally distributed, is expressed as
z = (x - µ)/σ
Where x = speeds of cars
µ = mean speed
σ = standard deviation
From the information given,
µ = 60 mi/hr
σ = 5 mi/hr
P(x < 70 )
For x = 70
z = (70 - 60)/5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02
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Tickets to enter a museum were R30 for each child and R60 for each adult. In a particular day 100 adults brought
3 children each and the remaining adults brought 2 children each. Children alone were not allowed to enter the
museum. The total tickets sales from the children and adults was R25800. How many children and adults entered the
museum?
A) 270
B) 470
C) 670
D) None of these
Answer:
D
Step-by-step explanation:
Let's say the number of adults who brought 3 children each is x. So the number of adults who brought 2 children each is 100-x.
Then the total number of children is 3x + 2(100-x) = 300 + x.
The total amount of money made from adults is 60 * 100 = 6000.
The total amount of money made from children is 30 * (300 + x) = 9000 + 30x.
So 6000 + 9000 + 30x = 25800
=> 15000 + 30x = 25800
=> 15000 = 25800 - 30x
=> 15000 = 25800 - 30x
=> 30x = 10800
=> x = 360
So the number of adults who brought 3 children each is 360 and the number of adults who brought 2 children each is 100-360 = -260 (which is not possible).
So the answer is D) None of these.
To solve the problem, set up equations using the given information. Substitute the value of one variable into the other equation to solve for both variables. Then use the values to find the number of children and adults.
Explanation:To solve this problem, we can start by setting up equations based on the given information. Let's denote the number of adults as A and the number of children as C. We know that each adult brought either 3 children or 2 children, resulting in a total ticket sales of R25800.
So we can set up the following equation: 30C + 60A = 25800.
We also know that there were 100 adults. If each adult brought 3 children, then the total number of children would be 3 times the number of adults: C = 3A.
Substituting the value of C from the second equation into the first equation, we get 30(3A) + 60A = 25800. Solving this equation will give us the values of A and C.
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Rewrite the expression 4^ [-2] x 8^ [0] x 5 ^[6} using only positive exponents.
The expression 4^[-2] × 8^[0] × 5^[6] can be written with positive exponents as follows 4^[2] × 8^[0] × 5^[6].
What are exponents?Exponent is the term used to describe a way to represent huge numbers using powers. In other words, the exponent describes how many times a number has been multiplied by itself. Law of Multiples: Exponents should be added while maintaining the same base when multiplying similar bases.
When bases are raised by a power of two or more, multiply the exponents while maintaining the original base.
Division Rule: When dividing like bases, take the exponent of the denominator and divide it by the exponent of the numerator, keeping the base constant.
The expression 4^[-2] × 8^[0] × 5^[6] can be written with positive exponents as follows:
4^[2] × 8^[0] × 5^[6]
The negative sign in the value 2 can be ignored because squaring a number yields a positive value irrespective of the sign of the value.
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Answer: 5^6/ 4^2 Question : Rewrite the expression 4^-2 x 8^0 x5^6 using only positive exponents.
The function g(x) represents f(x) = 9 cos (x - pi/2 + 3 after translating pi/6
units left and 4 units up
Which equation represents g(x)?
A bridge deck is suspended 215 feet above a river. If a stone is dropped over the side of the bridge, the height, in feet, of the stone above the water surface after consistency is given by y 215-16t
Which could be the function graphed below?
On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.
A function which could be the function graphed above "On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right" is: D. f(x) = √(x + 4).
What is a graph?In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs (data points) on both the horizontal and vertical lines of a cartesian coordinate, which indicates the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.
What are the types of quadrant?This ultimately implies that, there are four (4) major types of quadrants in any graph and these include the following:
Quadrant IQuadrant IIQuadrant IIIQuadrant IVIn this scenario, we would use an online graphing calculator to plot all of the given functions in order to determine the function that was graphed, which we can logically deduce that it is function f(x) = √(x + 4).
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Complete Question:
Which could be the function graphed below?
On a coordinate plane, a curve starts in quadrant 2 and crosses the y-axis and goes into quadrant 1. The curve opens down and to the right.
f(x) = √(x - 5) + 1
f(x) = √(x - 2)
f(x) = √x
f(x) = √(x + 4)
Six times a number subtracted from the number squared is 40. Find the number.
Answer: 6x - 40
Step-by-step explanation:
first you time 6 times x = 6x and you can't - 40 because you don't know what x is so 6x - 40
NEED HELP ASAP PLS AND THX Picture is attached
Answer:
m∠2 = 35° and m∠3 = 55°
Step-by-step explanation:
∠3 + ∠4 = 90° as shown with the square marking on the other side.
∠3 + 35° = 90°, 90°- 35° = ∠3
∠3 = 55°
∠1 = 90°, ∠3 = 55°, ∠2 = ?
A triangle's interior angles always add up to 180°.
90° + 55° + ? = 180°
145° + ? = 180°
? = 180° - 145°
? = 35°
A wheel of a diameter rotates at 2500 revolutions per minute.Express the speed of a point on the rim in centimeters per second.
Answer:2x34=344343
Step-by-step explanation:32323=23=232
Julie bookwalter is single, claims 1 dependent and earns 32,300 annually the state tax rate is 2.5. What is the amount of exemptions and annual state income tax
The amount of exemption on annual state 2.5% is 807.5.
What are amount of exemptions ?
Income liable to income tax is decreased by an exemption. The Internal Revenue Service permits many different exemptions (IRS). Personal and dependent exemptions used to be the two most popular forms. However, the personal exemption has been eliminated through the end of 2025 as a result of the changes made by the 2017 Tax Cuts and Jobs Act (TCJA).
There are still additional types of exemptions besides dependent ones.
Step by step Explaination:
Julie earns 32,300 annually.
she pays State tax rate 2.5%
So, first we should calculate tax rat for 1%
32300*1%
=32300/100
=323.
For state tax rate 2.5%
32300*2.5%
=32300*2.5/100
=807.5
Exemption amount on 2.5% is 807.5.
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what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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she’s going to paris , 9 hours there , 8 back with 81 mph. how many mph did it take for that 9 hours
Answer:
Check the questions comments
Step-by-step explanation:
there are 15 jolly ranchers in a jar containing three blue three red three green through yellow and three purple three jolly ranchers are chosen at random from the jar what is the probability that all three chosen jolly ranchers are blue
The probability of the event that all three are blue is 1/455 or 0.0022
What is Probability of an EventIn probability theory, the probability of an event is a measure of the likelihood that the event will occur. It is a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be expressed as a decimal, a fraction, or a percentage.
Probability is used to quantify the uncertainty associated with a random event. It is based on the idea that if an experiment is repeated many times under the same conditions, the proportion of times the event of interest occurs will be close to the probability of that event.
The probability of an event can be calculated using the following formula:
Probability of an event = Number of favorable outcomes / Total number of possible outcomes
In this problem, we can define our variables.
Total number of possible outcomes = 15
P(All three are blue) = (3/15) * (2/14) * (1/13)
P(All three are blue) = 1/455
P(all three are blue) = 0.0022
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Please please look at the picture and answer the question thank you
suppose that wendy rides her bicycle 30 miles in the same time it takes kim to ride her bicycle in 20 miles. if wendy rides 5 miles faster per hour than kim, find each rate.
Therefore , the solution of the given problem of speed comes out to be
K travels at a speed of 10 mph and W =15mph.
Speed: What is it?The speed seen from a distance tells us how fast something is moving. An object's speed determines how far it travels in a predetermined amount of time. Velocity is determined as velocity = distance * time. Meters / sec (m/s), kilometres per hourly (km/h), and kilometers / second (mph) are the three units of speed that are most frequently used (mph).
Here,
Let's say Wendy completes a 30-mile bicycle ride in the same amount of time that Kim completes a 20-mile ride.
Find the speed of each if Wendy bikes 5 mph faster than Kim.
When s Equals K's speed, (s+5) becomes W's speed.
They inform us that the 2 and half are equivalent, thus we can use this information to create a straightforward time equation: Time = Speed/Distance
K's time equals W's time, therefore
=> 20/s= 30/(s+5).
=>30s = 20(s+5)
=>30s = 20s + 100
=>30s - 20s = 100
=>10s = 100
=> s = 10
K travels at a speed of 10 mph, while W travels at 15 mph.
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