Answer:
A solution of a system of equations is a list of numbers x , y , z ,... that make all of the equations true simultaneously. The solution set of a system of equations is the collection of all solutions. Solving the system means finding all solutions with formulas involving some number of parameters.
Step-by-step explanation:
hope it will help you
Answer:
Step-by-step explanation:
In this context "solution" means a point whose x- and y-coordinates satisfy both equations.
If we're given the two linear equations x + y = 3 and 2x - y = 7, we can solve them by addition and subtraction (among other methods):
3x = 3 + 7, or 3x = 10, or x = 10/3.
Substitute this result into x + y = 3 to find the corresponding y value;
10/3 + y = 3, or 10/3 + y = 9/3, or y = 1/3.
Then the "solution" is the point (10/3, 1/3).
Mallory wants to buy a new window air conditioning unit. The cost for the unit is $329.99. If she plans to run the unit three months out of the year for an annual operating cost of $108.78, which function models the cost per year over the lifetime of the unit, C(n), in terms of the number of years, n, that she owns the air conditioner?
The function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Cost for the unit = $329.99
Annual operating cost = $108.78
C(n) represents the cost per year
n represents the number of years
The function can be modelled:
C(n) = (329.99 + 108.78n)/n
Thus, the function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.
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Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim’s percentage profit.
Give your answer to 1 decimal place.
30/40
Step-by-step explanation:
like my guy it's thaymt ez
The profit that Jim got in percentage will be 46.67%.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Jim buys a wardrobe for £30. He sells it for £44. The profit is calculated as,
Profit = £44 - £30
Profit = £14
The profit in percentage is calculated as,
P = (£14 / £30) x 100
P = 0.4667 x 100
P = 46.67%
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#45 will give brainliest
Answer:
(-2, 3)
Step-by-step explanation:
somebody... PLEASE help
What is the only solution of 2x2 + 8x = x2 – 16?
Answer:
x= - 4
Step-by-step explanation:
2 * x^2 + 8 * x = x^2 - 16
2 * x^2 - x^2 + 8 * x + 16 = 0
x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4
a circle has a radius of 20 centimeters and a central angle that measures 216 degrees find the length of the arc defined by this central angle
Answer:
24π cm.
or
75.40 cm to the nearest hundredth
Step-by-step explanation:
The circumference = 2 π r = 2 * π *20
= 40π cm.
Length of the arc = 40 π * 216/360
= 40 * 0.6 * π
= 24π cm
The sum of two numbers is 12.One of the numbers is 8.78.Find the other number.
answer : 3.22
if the sum of 2 numbers is 12 and one of the numbers is 8.78, then the subtraction of the number from the sum will give you the other number.
Multiply. 3√⋅22√⋅58√⋅18−−√ Enter the expression in the box in simplified radical form.
The value of multiplying the factors of 3√2 * 2√5 * 8√18 is 288√5 in radical form
How to multiply the expression?The expression is given as:
3√2 * 2√5 * 8√18
Multiply the integers
3√2 * 2√5 * 8√18 = 3 * 2 * 8 *√2 *√5 * √18
This gives
3√2 * 2√5 * 8√18 = 48 *√2 *√5 * √18
Multiply the radicands
3√2 * 2√5 * 8√18 = 48 *√5 * √36
Take the square root of 36
3√2 * 2√5 * 8√18 = 48 *√5 * 6
Multiply 48 by 6
3√2 * 2√5 * 8√18 = 288√5
Hence, the value of 3√2 * 2√5 * 8√18 is 288√5
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Suppose that S'T'U is the result of a dilation STU with center T and scale factor 2. What are the coordinates of point S'?
Given that STU is dilated by a scale factor of 2, the resulting rule is (x, y) ⇒ (2x, 2y)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Given that STU is dilated by a scale factor of 2, the resulting rule is (x, y) ⇒ (2x, 2y)
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On average, indigo drinks 2/5 of a 10-ounce glass of water in 4/5 of an hour. how much water does she drink, in glasses per hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Indigo drinks 5 ounces glasses per hour.
What is fraction?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
As in [tex]\frac{4}{5}[/tex] hour she drinks =10*[tex]\frac{2}{5}[/tex]
= [tex]\frac{20}{5}[/tex]
=4 ounce
She is drinking 4 ounce in [tex]\frac{4}{5}[/tex] hours,
= [tex]\frac{4}{\frac{4}{5} }[/tex]
= [tex]4*\frac{5}{4}[/tex]
=5 ounce in an hour.
She drink 5 ounces glasses per hour.
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Brain Builders
9. Each bag can hold a mass of 3 kilograms, Wade
has 25 kllograms of fruit to put into bags. What is
the fewest number of bags he will need? Draw a
picture to support your answer.
Answer:
i think its 8
Step-by-step explanation:
25 divided by 3 is eight.
PLEASE HELP
Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 4 feet long, and the other was 4 1/2 feet long. The two pieces of plywood had equal widths. The total area of the stage was 44 5/8 square feet. What was the width of the plywood?
find the scale factor of cube with a volume of 729m^3 with a cube with a volume of 2,744m^3
Answer:
45/7
Step-by-step explanation:
The ratio of volumes is the cube of the scale factor for similar figures.
__
sf³ = (729 m³)/(2.744 m³) = 9³/1.4³
sf = ∛(9³/1.4³) = 9/1.4 = 45/7
The scale factor between the larger and smaller cubes is 45/7.
HELP ME WITH THIS WORK PLEASEEE
Answer:
a is the answer
Step-by-step explanation:
Segment PR is PQ-RE=24-14=10
The probability that a point will be in PR is 10/24 or 0.4166 which rounds up to 0.42
Select all acute angles:
Answer:
A, D and F
Step-by-step explanation:
cus they are an acute triangle because they are smaller than 90 degrees
Biotic and abiotic definitions
Biotic are living things while on the other hand abiotic are non living things.
Biotic and abioticBiotic can be defined as living things or living organism while abiotic on the other hand can be defined as non living things or non living organism.
Examples of biotic are:
BacteriaFungiVirusPlants and animalsExamples of abiotic are:
RadiationAtmosphereTemperatureSoilWater etcTherefore Biotic are living things while on the other hand abiotic are non living things.
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The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000
The equation most closely models the line of best fit for the scatter plot is y = 2.5x
Equation of a line
A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b
where:
m is the slope or rate of change
b is the intercept
Using the coordinate points on the line (3, 5000) and (9, 20000)
Get the rate change(slope)
Slope = 20000-5000/9-3
Slope = 15000/6 = 2500
Determine the y-intercept by substituting
5000 = 2500(3) + b
b = 5000 - 7500
b = -2500
Determine the equation
y = 2.5x - 2.5
Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x
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7. If the perimeter of the rectangle is 6x + 18, then what is the length of the rectangle? (level 4)
x + 5
length
Answer:
[tex]l = 2x + 4[/tex]
Step-by-step explanation:
[tex]p = 6x + 18 \\ w = x + 5 \\ p = 2(l + w) \\ 6x + 18 = 2(l + x + 5) \\ 6x + 18 = 2l + 2x + 10 \\ 2l = 4x + 8 \\ l = 2x + 4[/tex]
Find the sum.
796
583
+ 889
Answer:
2258
Step-by-step explanation:
Find the general indefinite integral. (use4 x5 dxc for the constant of integration. )
The indefinite integral means the integration without limit is known as indefinite integral. The indefinite integral of the function (4 + x⁵) is given below.
[tex]4x + \dfrac{x^6}{6} + c[/tex]
What is integration?It is the reverse of differentiation.
Then the general indefinite integral will be
[tex]\rm \rightarrow \int (4+ x^5) dx \\\\\rightarrow 4x + \dfrac{x^6}{6} + c[/tex]
Where c is the constant of integration.
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I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
A boxed area represents 25% of the data set. This means that 70-85 is 25% and 85-100 is 25%
25%+25%=50%
I NEED HELP ASAP
The area of a square is 196 in2. What is the length of its side?
Choose one answer.
A. 12 inches
B. 16 inches
C. 13 inches
D. 14 inches
area of a square = s²
s² = 196
s = √196
therefore s = 14cm
hope it helps...!!!
Answer:
D. 14
Step-by-step explanation:
14 x 14
= 196
Hope it helps :))
What is the value of x?
( Not 16 )
Answer:
37
Step-by-step explanation:
You have to divide 74 by 2x to get your equation.
Answer:
37
Step-by-step explanation:
1-2x=74
2-Divide by two on both sides
3-2x÷2= x
4-74÷2=37
Question 2 of 10
What is the value of the fraction below?0/25
the answer is A.0 because 0 devided by a number iz zero
Angles J X M, M X N, and N X P form a straight line. Angle M X N is a right angle.
Complete the sentence:
Complete the sentence:
If Angle J X M has a value of 57 degrees, then Angle N X P has a value of
degrees.
Answer:
123 degrees
Step-by-step explanation:
180 - 57 = 123
Answer:
33
Step-by-step explanation:
123 is not the answer, on edge
An element decays by 50% every hour (in other words, it
has an hour half-life). If you have 48 grams of the element,
then how many grams will there be in 5 hours?
Answer:
1.5 grams
Step-by-step explanation:
This is because if there are five hours there will be 5 half lives due to it decaying 50% every hour. Therefore we would have to dived 48 by 2, 5 times or in other words 48÷[tex]2^{5}[/tex] = 1.5
I need help ASAP I can’t understand this question help please !
Answer:
424
Step-by-step explanation:
SF: 2{(8 x 4) + (4 x 15) + (8 x 15)}
therefore: 2 [32 + 60 + 120]
therefore: 64 + 120 + 240
therefore: 360 + 64
therefore: 424
Answer:
424
Step-by-step explanation:
To find the surface area, you need to find the area of all the faces of the shape. Because this is a rectangle, you only need to find the 3 different faces and then multiply them by 2. For the largest face, the dimensions are 8*15, which is 120. Multiply that by 2 and you get 240. For the long, slim face, the dimensions are 4*15, which is 60. Multiply that by 2 and you get 120. Finally, the smallest face's dimensions is 8*4, which is 32. Double that and you get 64. Now all you need to do is add all the products up. 240+120+64 is 424, which is your answer.
Hope this helped!
For the best set summarized in the boxplot, identify the interquartile range (IQR)
75
57
22
32
Work Shown:
IQR = Q3 - Q1
IQR = 70 - 48
IQR = 22
Note: Q1 and Q3 are the left and right edges of the box. The IQR is the width of the box.
Raymond swam 236 meters in 6 minutes. At this rate, how many meters can he swim in 15 minutes? A. 94.4 OB. 767 OC. 590
263 meters in 6 mins
to find:how many meters can he swim in 15 minutes.
solution:[tex] \frac{236}{6} [/tex]
[tex] = 39.33[/tex]
[tex]39 .33\times 15[/tex]
[tex] = 589.95[/tex]
[tex]nearest \: whole \: number = 590[/tex]
therefore, he can swim 590 meters in 15 minutes.
answer= option C
Answer:
C: 590 meters
Step-by-step explanation:
Let's start by finding Raymond's rate of swimming for meters per minute. We know that he can swim 236 meters in 6 minutes. So let's divide 236 by 6 to find how far Raymond can swim in 1 minute.
236 / 6 = 39.3
So if we know Raymond can swim 39.3 meters in 1 minute, we multiply 39.3 meters by 15, to find how far he can swim in 15 minutes.
39.3 * 15 = 589.995 which is approximately 590 meters. So, we would chose option C: 590.
Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball} and that the set A is the set of sports balls that are spherical, what is the complement of Set A?
The set A is the set of sports balls that are spherical, the complement of set A is {baseball}.
Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball}.
What is set?Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.
The set A is the set of sports balls that are spherical
Set A={basketball, football, tennis ball, soccer ball, volleyball}
So, the complement of Set A is {baseball}
Because, a baseball infield is in the shape of a square, with each base at a vertex.
Hence, the set A is the set of sports balls that are spherical, the complement of set A is {baseball}.
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A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?
Answer:
V=whl=14·13·19=3458m³
Answer:
1152.66 m³
Step-by-step explanation:
Volume = ⅓ × base area × height
= ⅓ × (length × width) × height
= ⅓ × 19 × 14 × 13
= ⅓ × 3458
= 1152.66 m³