Step-by-step explanation:
x + y = 14
this gives us
y = 14 - x
2x = y - 5
we use the first equation in the second
2x = 14 - x - 5 = 9 - x
3x = 9
x = 3
y = 14 - x = 14 - 3 = 11
the smallest number is 3 or 03.
Which expression is a perfect cube
Answer: some perfect cubes are
8 (2^3)
27 (3^3)
64 (4^3)
there are many perfect cubes
maybe there is more to this question?
Step-by-step explanation:
A perfect cube of a number is a number that is equal to the number, multiplied by itself, three times. If x is a perfect cube of y, then x = y3. Therefore, if we take the cube root of a perfect cube, we get a natural number and not a fraction. Hence, 3√x = y. For example, 8 is a perfect cube because 3√8 = 2.
Ellis is going on a tour that costs $68 while on vacation. He brought less than $96 to pay for the cost of the tour and dinner. Which of the following inequalities represents the money Ellis can spend on dinner?
A.
$96 + d > $68
B.
$68 + d < $96
C.
$96 + d < $68
D.
$68 + d > $96
Answer:
B.$68 + d < $96
Step-by-step explanation:
Ellis is going on a tour that costs $68 while on vacation. He brought less than $96 to pay for the cost of the tour and dinner.
$68 + d less than $96
$68 + d < $96
Note:
< = Less Than
> = Greater Than
≤ = Less Than or Equal to
≥ Greater Than or Equal to
A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it
Answer:
Base rate: $120
Rate: $2 per person
Equation: f(x)=2x+120
Step-by-step explanation:
If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40. This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).
These values correspond to a base rate for the bus of $120.
The function for the cost per bus with x number of people on it would be:
\(f(x)=2x+100\)
This can be checked by using the values given in the problem:
\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)
The base rate of $120 and $2 per person satisfies the given equation and established values.
YALL I NEED HELP PLEASE HELPP ME
Answer:
y = -2x-1
Step-by-step explanation:
hope this helps :)
Answer:
y=-2x-1
Step-by-step explanation:
so we need to find y=mx+3
y=intercept
mx=gradient
c is the y intercept where it crosses the line the y and m axis is the gradient which means the slope of the graph to find c but you need to find m so the gradient has a formula and you need to use any of the coordinates
so the formula will be y2-y1 /x2-x1 this means you do the second y from the first y from the first coordinates do the same for x and then divide them y2-y1/x2-x1=-5--3/2-1=-5+3/1 so m=-2 to look for c we do -7=-2(3)+c =-7= -6 +c
=-7+6=c =-1=c
y=mx+c
ans= y=-2x-1
ik it long lol
Jackie is baking cookies for the school bake sale. She has
determined that she needs 4 43 cups of M&M's for the cookies. The
amount of chocolate chips is 3 12 times greater. How many cups of
chocolate chips does Jack need?
Ok
jackie is weird cus she is and because cookies ar goodStep-by-step explanation:
go to \ type this in
write the first 10 multiplies of 6 and 8 pairs of numbers and find this LCM
↪\( \huge\rm{answer: } \: \boxed{ \purple{24 }}\)
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
M(6)= {0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 ...}
M(8) = {0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80...}
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
\( \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}\)
Answer:
6=0,6,12,18,24,30,36,42,48,54,60
8=0,8,16,24,32,40,48,56,64,72,80
HCF=24,48
LCM=0,6,12,18,,30,36,42,48,54,60,8,16,24,32,40,,56,64,72,80
What is the root of the polynomial equation x (x minus 2) (x + 3) = 18? Use a graphing calculator and a system of equations. –3 0 2 3
Answer:
D) 3
Step-by-step explanation:
Using the graphing calculator, the roots of the polynomial equation are 3
What are polynomial functions?They are functions that has a degree of 3 and above. Given the expression
x(x-2)(x+3) = 18
Expand
(x²-2x)(x+3) = 18
x³+3x²-2x² -6x-18 = 0
x³+x² -6x-18 = 0
Using the graphing calculator, the roots of the polynomial equation are 3
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Julie thinks this will mean the prices will be reduced to $0 after the four reductions because 4 x
25% = 100%.
Explain why Julie is wrong
Answer:
4x25/100=1
Step-by-step explanation:
How I came up with it
4÷100=25
25÷25=1
Julie will only get a 1% discount
Hope it helps
8^6 divided by 8 simplified?? :)
Given: 8^6/8
Answer:32768
Step by step explanation:
To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.Since we have no parenthesis we do exponents firstSince we are dividing we do 8^6-1 divided by 8The value of 8^6 is 262144Now we divide 252144 by 8 which gives us 32768Therefore, our answer is 32768#LearningIsFun
Given that 5 miles is 8 km, convert 17.8 miles to km.
Answer:
\(28km\)
Step-by-step explanation:
\(5miles = 8km\)
\(17.8miles = x\)
\( \frac{17.8}{5} \times 8km\)
\(x = 28km\)
One runner had a personal best time, and the other runner neither trained nor had a personal best time
While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.
The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.
On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.
In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
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Evaluate using order of operation and please show work
Answer:
10
Step-by-step explanation:
Given expression:
20 - \(\frac{15 + 3(5)^{2} }{5^{2} - 4^{2} }\)
To solve this problem, we use the order of operation:
P - Parentheses
E - exponents
M - multiplication
D - division
A - Addition
S - Subtraction
Now solve the parentheses first;
= 20 - \(\frac{15 + 3x 25}{5^{2} - 4^{2} }\)
= 20 - \(\frac{15 + 75}{5^{2} - 4^{2} }\)
Now solve the exponents:
= 20 - \(\frac{15 + 75}{25 - 16}\)
Now solve the division:
= 20 - \(\frac{90}{9}\)
= 20 - 10
= 10
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
The answer is (D) y < 4
Answer:
D. y < 4 im pretty sure sorry if its wrong..
plzzz helpppp meeee aaaasssaaappp
Answer:
4. Answer is 19
5. Answer is 77
Step-by-step explanation:
65-(-12)
= 65+12
=77
Answer:
1977Step-by-step explanation:
4.
\(-64-(-83)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-64+83\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-64+83=19\)
5.
\(Kim = 65 \:points\\Sister =-12\\\\Difference = 65-(-12)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=65+12\\\\=77\)
a farmer has 47 eggs.He packs 6 eggs in each box. How many egg boxes does he need to packall the eggs?
We need to divide up 47 eggs into boxes of 6. Therefore, we are doing a division problem.
6 x 7 = 42
42 is as close as we can get to 47 without going over. So, at this point, we need 7 boxes.
BUT - There are 5 eggs left without a box. We cannot have part of a box either. Therefore, we need to add in another box.
7 + 1 = 8
He needs 8 boxes to pack all the eggs.
Hope this helps!
Answ
Step-by-step explanation:
17 boxes 47 divided by six so it is 17 boxes hope it helps:)
The volume of a cylinder is calculated by multiplying the area of the base and the height. The volumes of a cylinder and a cone with the same radius and height are shown.
Which describes how to find the volume of a cone?
Answer:
Volume of a cone = ⅓volume of a cylinder
The mean height of women in a country (ages 20-29) is 63.7 inches. A random sample of 75 women in this age group
is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume a= 2.85.
The probability that the mean height for the sample is greater than 64 inches is
(Round to four decimal places as needed.)
The Probability that the mean height for the sample is greater than 64 inches is 0.4602
Normal Distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
According to the question ,
The mean height follows normal distribution
Population mean : μ = 63.7 inches
Population variance : σ = 2.85 inches
We have to find probability that the mean height for the sample is greater than 64 inches = P( x > 64)
Subtracting by 63.7 and dividing by 2.85
=> \(P( \frac{x-63.7}{2.85} > \frac{64 - 63.7}{2.85})\)
=> \(P( z > \frac{0.3}{2.85})\)
=> \(P( z > 0.105)\)
=> 1 - P(z < 0.105)
Using z probability distribution table,
=> 1 - 0.5398
=> 0.4602
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Your paycheck (before deductions) varies directly as the number of hours you work. If your paycheck is $211.60 for 23 hours, find your pay for 10 hours
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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3 i
Solve the system of linear equations by graphing.
y=-x+7
y=x+1
Line
TO2P011u600r420u2T4Z9N302779MOB
Undo
→ Redo
x Reset
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O
Bi
Tenana
x+1=-x+7
2x=6 /÷2
x=3 np
Need answers ASAP please
Answer:
angle classification is acute
side classification is equilateral
Step-by-step explanation:
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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PLEASE HELP ASAP ILL GIVE BRAINLY!!!
(a) Write the quadratic regression equation that models the data. Let x = time in seconds
and let y = height in feet. Round all numbers to the nearest hundredth. (b) Use the equation to estimate the height of rocket after Show your work. 3 seconds
(a) A quadratic equation is in the form: y = -12.87x² + 42.22x + 1.18
(b) The height of the rocket after 3 seconds would be 12.01 feet.
What is a quadratic equation?A quadratic equation is a polynomial equation with a maximum degree of two. Any equation that can be written in the standard form where x is an unknown value, a, b, and c are known quantities, and a 0 is a quadratic equation.
Here, we have
Given: A rocket is launched upwards from the ground.
(a) A quadratic equation is in the form:
y = -12.87x² + 42.22x + 1.18
(b) When x = 3 seconds
y = -12.87(3)² + 42.22(3) + 1.18
y = 12.01 feet
Hence, the height of the rocket after 3 seconds is 12.01 feet.
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Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41
Each of the following functions f,g,h, and h represents the amount of money in a bank account in dollars as a function of time x, in years they are each written in form m(x)= a•b
Answer:
f(x) : exponential growth
g(x); exponential growth
h(x): exponential growth
j(x): exponential decay
Step-by-step explanation:
In an exponential function such as
\(m(x) = a \cdot b^x\)
the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative
If b > 1, it is a growth function
If b < 1 then it is a decay function
If b = 1 neither growth or decay function values are constant
In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function
Answer:
O f(x) : exponential growth
O g(x); exponential growth
O h(x): exponential growth
O j(x): exponential decay
Step-by-step explanation: I used to do this before :)
can someone please help me
Answer:75
Step-by-step explanation: Find the area of the triangle which is 1/2 base times height. The base is 9 while the height is 4+5+1 which is 10. 10 times 9 is 90 and half of 90 is 45. Then find the area of the rectangle which is length times width which is 5 times 3 which is 15. Then subtract 15 from 90 which gets you the answer 75.
which of these is the quadratic parent function
The quadratic parent function, f(x) = x², represents the most basic form of a quadratic function.
f(x) = x² is called the "parent" or "standard" form because it serves as a template or starting point for other quadratic functions.
In this function, x represents the input or independent variable, and f(x) represents the output or dependent variable.
The function takes any real number as an input, squares it, and produces the corresponding output.
By modifying the quadratic parent function with additional terms or coefficients, we can create different variations of quadratic functions that result in shifts, stretches, or compressions of the parabola, as well as changes in its orientation or vertex position.
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Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
Aight so I know the answer is 105° but idk how someone got that answer. Could you help?
Firstly we need to find m<DNY
m<DNY=(60+90)÷2=75
N9w we can find m<KNY
m<KNY+m<DNY=180°(Because these are adjacent corners)
m<KNY+75°=180°
m<KNY=180°-75°
m<KNY=105°
definition of arc????
Answer: a part of the circumference of a circle or other curve
Step-by-step explanation:
In general, an arc is any smooth curve joining two points. The length of an arc is known as its arc length
Answer:
Step-by-step explanation: