Answer:
10, 17
Step-by-step explanation:
let the number be n then the other number is n + 7 and
n + n + 7 = 27
2n + 7 = 27 ( subtract 7 from both sides )
2n = 20 ( divide both sides by 2 )
n = 10
n + 7 = 10 + 7 = 17
the numbers are 10, 17
Keiko tracks the change in outside
one afternoon. She records
temperature
a temperature of 85.4°F at noon. The
temperature rises 3.85°F over the
next 4 hours. At 5:00 PM, Keiko records
a temperature of 89.25°F. How does the
temperature change between
4:00 PM
and 5:00 PM?
Answer:
no change
Step-by-step explanation:
Given a temperature rise of 3.85 °F over 4 hours after noon, when the temperature is 85.4 °F, you want to know the change between 4 pm and 5 pm if the temperature at 5 pm is 89.25 °F.
Temperature at 4The temperature at 4 pm is the sum of the noon temperature and the change in the 4 hours after noon:
85.4 °F + 3.85 °F = 89.25 °F
Change after 4The change from 4 pm to 5 pm is the difference between the 5 pm temperature and the 4 pm temperature:
82.25 °F -89.25 °F = 0 °F
There is no change in the temperature between 4 pm and 5 pm.
Identify the domain and range of the relation, and determine whether the relation is a function.
{(0, 3),(-1/3,0),(-5, 2),(1/3,4)}
The Monty Corporation has a staff of sales people who are paid a monthly salary of $1,600.00 plus an incremental commission based on the table below. If Sally sells $29,700.00, what is her total gross pay for the month
Answer:
Step-by-step explanation:
-28,100 if you subtract 29,700.00 - 1,600.00 = -28,100
Which of the following examples would be continuous data?
How many people are late boarding an airplane?
The amount of diapers a newborn uses in a day.
The number of television shows on Netflix.
The volume of liquid in a pop can.
The example that would be continuous data is A. The volume of liquid in a pop can.
What is a continuous data?Continuous data is data that has no fixed value. Continuous data includes height, weight, temperature, and length. Some continuous data, such as a baby's weight in its first year or the temperature in a room throughout the day, will change over time.
Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. Continuous data consists of complex numbers and varying data values measured over a specific time period.
In this case, the volume of the liquid is s continuous data.
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What is the equivalent equation to the given equation?
x = x² - 20
The equivalent equation to the given equation i.e, x = x² - 20 is x² - x - 20 = 0
What is a Quadratic equation ?
A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.
The given expression is,
x = x² - 20
We have to make the equation in quadratic form i.e, ax² + bx + c = 0
so, first take x to the right side
0 = x² - 20 - x
Now swap the equation,
x² - 20 - x = 0
put 'x' term in middle and constant term at last like this,
x² - x - 20 = 0
Hence, The equivalent equation to the given equation i.e, x = x² - 20 is x² - x - 20 = 0
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Solve the inequality for p
4 - 1/6 (p - 3) > 7
Answer:
p < -15
Step-by-step explanation:
[tex]4 - \frac{1}{6} (p - 3) > 7[/tex]
[tex] - \frac{1}{6} (p - 3) > 3[/tex]
[tex]p - 3 < - 18[/tex]
[tex]p < - 15[/tex]
Find the mean, μ, for the binomial distribution which has
the stated values of n and p. Round answer to the nearest
tenth.
n = 38; p = 0.2
Select one:
Ο Α. μ = 8.3
OB. μ = 7.9
Cu = 7.1
OD. μ = 7.6
The mean value is 7.6. Option (D) is the correct answer.
The number of successes in a sample of size n drawn with replacement from a population of size N is frequently modeled using the binomial distribution.
The mean value of a binomial distribution is,
[tex]\mu =np\\=38*0.2\\=7.6[/tex]
Multiplication:
In mathematics, multiplying two or more numbers yields the product of the numbers. It is one of the basic mathematical operations that we carry out on a regular basis. The most obvious application is using multiplication tables. The multiplication of two numbers in mathematics represents the repeated addition of one number in respect to another. These numbers can be natural numbers, whole numbers, fractions, integers, or other types of numbers. When m is multiplied by n, m is either multiplied by n times or added to itself n times.
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A relation contains the points (1,-4), (3, 2), (4, -3), (x, 7), and (-4, 6).
For which value of a will the relation be a function?
O-4
O-3
O 3
O 4%
For x = -3 the relation will be a function.
We know that a relation is a function when for each input there is exactly one output.
In this question, we need to find the value of x for which the relation will be a function.
We need to select the value of x such that x ≠ 1, 3, 4, -4
This means x must be -3
Therefore, For x = -3 the relation will be a function.
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Change 4 1/6to an improper fraction.
Answer:
4 1/6 = 25/6
Why?:
Multiply the denominator with the mixed number 4.
Add the numerator 1 and get 25.
Then, you keep the denominator (Which is 6) on the bottom.
And finally, you get
25/6
Answer:
25/6
Step-by-step explanation:
first start by multiplying 6 and 4, which leads you to 24
then add the 1 from the numerator and you get 25 as your numerator.
for the denominator, leave six as it is so it becomes 25/6
find the Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
The polar cordinates given are (r,θ)=(5,− π/4)
And we need to find the cartesian coordinates
We have,
x=rcosθ, y=rsinθ
x=5cos(− π/4) ,y=5sin(− π/4)
x= 5/√2 ,y=− 5/√2
So, the cartesian form is ( 5/√2, -5/√2)
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
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A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?
f(x) = 1500(1.15)x
f(x) = 1500(115)x
f(x) = 1500(2.15)x
f(x) = 1500(215)x
A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?
f(x) = 1500(1.15)x
f(x) = 1500(115)x
f(x) = 1500(2.15)x
f(x) = 1500(215)x
Answer:
A
Step-by-step explanation:
1.25x10^-3/1.25x10^3
By solving the given fraction equation we get the answer is 1.
What is an exponent?
Exponent is the process of expressing large numbers in terms of powers. In other words, the exponent describes how many times a number has been multiplied by itself.
According to the zero exponent rule, any base with a zero exponent is equal to one. For instance, [tex]x^{0} = 1[/tex].
We have,
[tex]= \frac{1.25\\ * \\ 10^{-3}}{1.25 \\ * \\ 10^{-3}}[/tex]
[tex]= \frac{1.25\\ * \\ 10^{-3}}{1.25 \\} * 10^{3}[/tex]
Using the multiplication rule of fraction [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]= \frac{1.25 \ * \ 10^{-3} \ * \ 10^{3}}{1.25 \\}[/tex]
= [tex]= 10^{-3} * 10^{3}[/tex]
By applying the exponent rule [tex]\:a^b\cdot \:a^c=a^{b+c}[/tex] we get,
Add or subtract the numbers = 3 + 3 = 0
[tex]= 10^{0}[/tex]
By applying the rule [tex]a^{0} = 1[/tex], [tex]a \neq e^{0}[/tex]
= 1
Hence, by solving the above fraction equation we get the answer is 1.
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What is the volume of a cylinder, in cubie centimeters, with a height of 2 centimeters
and a base diameter of 20 centimeters? Round to the nearest tenths place?
The volume of the cylinder in cubie centimeter is 628 [tex]cm^{3}[/tex]
How to find the volume of cylinder?
1. Find the radius of the circular base: Since both circles are the same size, either one will work. Move on if you are aware of the radius. If you don't know the radius, you can divide the diameter of the circle by 2.
2. Find the height of the cylinder : Continue if you already know the height. Otherwise, measure it with a ruler. The height is determined by the separation of the two bases' edges.
diameter (d) = 20
radius = [tex]\frac{20}{2}[/tex]
r = 10
height (h) = 2cm
volume v = [tex]\pi r^{2} h[/tex]
v = 3.14(10*10)2
= 628 [tex]cm^{3}[/tex]
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You want to have $300,000 when you retire in 30 years. If you can earn 4% interest compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?
An amount of $ 92,495.60 must be the initial deposit to become into $ 300,000 by compound interest.
How much money must be deposited to obtain a given quantity for retirement?
In this problem we must determine the initial deposit that must become into $ 300,000 by compound interest after a period of 30 years. Compound interest model is a model where money gains interest continuously, whose formula is:
C' = C · (1 + r / 100)ⁿ
Where:
C - Initial deposit, in monetary units.C' - Final deposit, in monetary units. r - Interest rate, in percentage.n - Number of periods, in years.If we know that C' = 300,000, r = 4 and n = 30, then the initial deposit is:
C = C' / (1 + r / 100)ⁿ
C = 300,000 / (1 + 4 / 100)³⁰
C = 92,495.60
The initial deposit must be $ 92,495.60.
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The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.
Step-by-step explanation:
The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.
amount paid over x months:
$6509 - $500 = $6,009
Equal payments of $250:
$6,009 / $250 = 24.036 months of payments
[Depending on if they want the answer rounded up, answer may become 25]
Answer:
hire purchase= $6509
deposit=$500
monthly payment=$250
no of monthly payment that must be made=hire purchase - deposit divided by monthly payment
$6509-$500/$250=$6009/$250= 24.036 month
How many bit strings are there of length eight?
There are 28 which is 256. That means there are 256 different values you can store in a byte, since a byte is eight bits. There are 256 eight-bit ASCII codes, for instance.
1 byte = 8 bits
Number of bits = [tex]2^{8}[/tex]
= 2*2*2*2*2*2*2*2
= 4*2*2*2*2*2*2
= 8*2*2*2*2*2
= 16*2*2*2*2
= 32*2*2*2
= 64*2*2
= 128*2
= 256 bits.
Therefore that means there are 256 different values you can store in a byte, since a byte is eight bits.
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equation for the perpendicular bisector of the line segment whose endpoints
are (-9, 3) and (-3, -1).
Equation for the perpendicular bisector of the line segment is
2y = 3x +20.
A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector.
What is perpendicular bisector?A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other terms, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle.
Given coordinates of the endpoints of a line segment (-9, 3) and (-3,-1).
In order to find the equation of perpendicular line, we need to find the slope between given coordinates.
Slope between (-9, 3) and (-3, -1). :
slope = [tex]\frac{-1-3}{-3+9} =\frac{-2}{3}[/tex]
Slope of the perpendicular line is reciprocal and opposite in sign.
Therefore, slope of the perpendicular line = 3/2
Now, we need to find the midpoint of the given coordinates.
[tex]Mid points : \\x= \frac{ -9-3}{2} =-6\\ y= \frac{3-1}{2} = 1\\ pint = (-6,1)[/tex]
Let us apply point-slope form of the linear equation:
y-y1 = m(x-x1)
y - 1 = 3/2 (x + 6)
2y = 3x +20
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The third grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade. Estimate how many slices of pizza each classroom can have if the pizzas are shared equally.
Choose 1 answer: 20 slices 50 slices 300 slices 320 slices
Answer:
20 slices
Step-by-step explanation:
If there were 11 large pizzas with 8 slices per pizza, that would mean that there are a total of 88 slices of pizza.
If there are four classrooms, that means that if each classroom had 20 slices, there would be enough for everyone with 8 pieces leftover.
20 x 4 = 80
How to solve step by step
Please help I’ve been stuck on this question for awhile thanks:)
Does anyone know how to do this?
The length of BC is 50 miles (approx).
What is Trigonometry?
Trigonometry is a field of mathematics that explores the connections between triangle side lengths and angles.
Solution:
In the triangle ABC,
The perpendicular = BC
The Base = AB = 6 miles
by using the trigonometric ratio "tan"
tan (58) = BC / AB
8.33 = BC / 6
49.98 miles = BC
BC = 50 miles (approx)
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Find the values of x and y.
Answer:
x = 20 degrees ; y = 70 degrees
Step-by-step explanation:
angle supplementary to 40 = 180 - 40 = 140 degrees
in isosceles triangle has the angles of the base with the same measure
140 + (2x) = 180
2x = 180 - 140
2x = 40
2/2 x = 40/2
x = 20 degrees
90 - 20 = 70 degrees
70 + y + 40 = 180
110 + y = 180
y = 180 - 110
y = 70 degrees
Answer:
Step-by-step explanation:
The weight of substance X is halved per minute. In the beginning, the weight of substance X is 5kg.
(a) Find the weight of substance X after 4 minutes.
(b) After how many minutes will the weight of substance X first go below 0.5kg?
Please give your answer as an integer.
EMERGENCY PLEASE HELPPPP
Answer:
a: 0.3125kg
b: 4
Step-by-step explanation:
for a we simply calculate 5 * 0.5 ^ 4.
we then see that the weight after 4 minutes is smaller than 0.5kg, but if we go back to 3 minutes (by multiplying our solution to a by 2), giving us 0.625kg, which is now bigger than 0.5kg. meaning 4 minutes is the first whole amount that will give us a weight smaller than 0.5kg.
8 (x + 2 ) when x = 6
Answer:
64
Step-by-step explanation:
8(x+2) when x=6
replace x with 6
8(6+2)
distribute 8
48+16= 64
not really sure what to do here??
Answer:
[tex]d=-6[/tex]
[tex]a_9=-49[/tex]
Step-by-step explanation:
If the first term of a sequence is [tex]-1[/tex] and the second term is [tex]-7[/tex], then each successive term in the sequence is [tex]6[/tex] less than the previous term. The common difference is [tex]-6[/tex] ( [tex]d=-6[/tex] ).
The formula representing the arithmetic sequence is:
[tex]a_n=-6n+5[/tex]
Therefore, the ninth term in the sequence is:
[tex]a_9=-6(9)+5[/tex]
[tex]a_9=-54+5[/tex]
[tex]a_9=-49[/tex]
9. Every 4th person who walks into the dance gets a free water bottle. Every 9th person who walks in
gets an integrity ticket. Who will be the first person to get both a water bottle and an integrity ticket at
the dance?
The first person to get both integrity ticket and free water bottle is the person who comes 36th. This can be calculated by using L.C.M
What is L.C.M?
The value that's equally divided by 2 provided numbers is that the lowest common multiple of any two. Least common multiple is its full name. Another name for it's the Lowest common divisor (LCD)
Main Body:
According to question,
Every 4th person who walks into the dance gets a free water bottle
Every 9th person who walks in gets an integrity ticket.
so the L.C.M of 4 and 9 should be calculated.
L.C.M of 4 and 9 is 36.
Hence L.C.M is 36
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How do I factor 250n2 + 20n8?
Step-by-step explanation:
[tex]250n^2+20n^8[/tex]
common factor is [tex]10n^2[/tex]:
[tex]10n^2(25 +2n^6)[/tex]
rearrange:
[tex]10n^2(2n^6+25)[/tex]
At the beginning of a journey, the fuel tank of a car was 34 full. When the car reached its destination, it had consumed 60% of the gasoline in the tank. The full capacity of the fuel tank was w gallons.
a Enter an algebraic expression for the amount of gasoline left in the fuel tank.
gal
b If w = 15.5, how much gasoline was left in the tank at the end of the journey?
gal
a) An algebraic expression for the gasoline left in the fuel tank is L = 0.4w.
b) If w = 15.5, the amount of gasoline left in the tank at the end of the journey was 6.2 gallons.
What is an algebraic expression?An algebraic expression is a mathematical statement that combines constants and variables together with mathematical operands.
The mathematical operands include addition, subtraction, division, multiplication, etc.
Let L = the amount of gasoline left
Let the full capacity of the fuel tank = w gallons
Gasoline consumed on the journey = 60% = 0.6
Equation:L = w - 0.6w
L = 0.4w
Solution:If w = 15.5
L = 0.4(15.5)
= 6.2 gallons
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line x is the perpendicular bisector of segment ZY
what does YT equal
Answer:
Step-by-step explanation:
ZT=YT
x+3=3x-11
x-3x=-11-3
-2x=-14
x=-14/-2=7
YT=3×7-11=21-11=10
YT=10
A cube has an edge measuring 7 inches.
What is the volume of the cube, in inches?
Simplify the experession
6²-3³)÷7
Answer:
9/7 or 1.285714
Step-by-step explanation:
Answer:9/7
Step-by-step explanation:
