Michael had $20 to spend on seven apples. After buying them you had $6. How much did each apple cost?
The answer:
the cost of the apples = 20 - 6 = $14
He bought 7 apples
so,
The cost of one apple = 14/7 = $2
So, the cost of each apple = $2
On a website that sells funny T-shirts, the number of customers has been falling 10% per month. If the site had 14,000 customers this month, then how many should it expect to have 10 months from now?
Rate of fall is 10%=0.1
Tim e=10monthsNow
y=ab^xy=14000(1-r)^ty=14000(1-0.1)¹⁰y=14000(0.9)¹⁰y=4881 customersAnswer:
4881 customers
Step-by-step explanation:
Given :
⇒ Falling 10% per month
⇒ 14,000 customers this month
============================================================
Creating the function :
⇒ Let y = remaining customers and x = number of months from now
⇒ y = (14,000)(1 - 0.1)ˣ = (14,000)(0.9)ˣ
==========================================================
Solving :
⇒ y = (14,000)(0.9)¹⁰
⇒ y = (14,000)(0.34867844)
⇒ y = 4881 customers (nearest whole person)
2^3 + 4m divided by 2 when m = 1.5
PLS HELP ME RN!!!
Answer:
14
Step-by-step explanation:
2^3 is 8. 8+4(1.5) is 8+6 is 14.
Answer:
Answer is 7 after simplifying and solving.Step-by-step explanation:
Equation that we have been provided with :
\(\boxed{ \tt {\dfrac{2 {}^{3} \: + \: 4m}{2}\: }} \: \red\bigstar\)And the value of m is 1.5. So we would be simply substituting the value of m in the equation given above and divide it by 2 as per the demand of the question.
\(: \longmapsto \: \sf{\dfrac{2 {}^{3} \: + \: 4 \: (1.5)}{2}\: }\)
\(: \longmapsto \: \sf{\dfrac{(2 \times 2 \times 2) \: + \: 4 \: (1.5)}{2}\: }\)
\(: \longmapsto \: \sf{\dfrac{(4 \times 2) \: + \: 4 \: (1.5)}{2}\: }\)
\(: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: (1.5)}{2}\: }\)
\(: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: \times (1.5)}{2}\: }\)
\(: \longmapsto \: \sf{\dfrac{8 \: + \: 6}{2}\: }\)
\( : \longmapsto \: \sf{\dfrac{14}{2}\: }\)
\(: \longmapsto \: \cancel{\sf{\dfrac{14}{2}\: }}\)
\(: \longmapsto \: \red{\bf{7}}\)
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
The notation for the length of the segment between P and Q is
Answer:
B.
Step-by-step explanation:
User Identify the change in the parent function that will produce the related function shown as a dashed line move to the right and downward . f(x)=|x|
The transformation of f(x) to g(x) is f(x) is shifted down by 4 units to g(x) and shifted right by 5 units
How to describe the graph of g(x)From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we can see that
f(x) = |x|
g(x) = |x + 5| - 3
So, we have
vertical difference = 0 - 3 = -3
horizontal difference = 5 - 0 = 5
This means that the transformation of f(x) to g(x) is f(x) is shifted down by 4 units to g(x) and shifted right by 5 units
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In the Alt J song, In Cold
Blood, the singer sings a
number, 01110011. If this
number is in base 2, what
would it be in base 10?
01110011
two
Answer:
kjjhgyufg
Step-by-step explanation:
Write a congruence statement for the above triangles pt.2
The value of angle A and C is 14° and 121° respectively
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
The sum of angle in a triangle is 180°
Therefore 45+6x-5+x-7 = 180
collect like terms
45-5-7+6x+x =180
33+7x = 180
7x = 180 - 33
7x = 147
x = 147/7
x= 21
therefore the value of angle A = ( 21-7) = 14°
and angle C = 6(21) - 5
C = 126-5
C = 121°
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Find the number of real number solutions for the equation.
x2 + 26 = 0
2
1
0
Answer:
0
Step-by-step explanation:
x² + 26 = 0 ( subtract 26 from both sides )
x² = - 26 ( take square root of both sides )
x = ± \(\sqrt{-26}\)
\(\sqrt{-26}\) ← has no real solutions
Answer:
0
Step-by-step explanation:
Look above goofy, have a good day!
Iris is a working freelancer and has been tracking her monthly income for the last four months she found out that she made $2700 $4600 $3550 and $1700 when making her budget what income value should she use
Iris should use an income value of approximately $3,137.50 when making her budget.
When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.
To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:
$2700 + $4600 + $3550 + $1700 = $12,550
Next, dividing the total income by four (the number of months), we find:
$12,550 / 4 = $3,137.50
Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.
It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.
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The probable question may be:
Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?
A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below what is the students error?
Answer:
Well the weight is
Step-by-step explanation:
4.53592 kilos
Answer:
4.535924 kilograms
Step-by-step explanation:
1 ounce = 0.02834952 kilogram
160 * 0.02834952 = 4.535924
Find the greatest common factor of 18, 36, and 45.
Answer:
All divide by 9, so GCF= 9
Step-by-step explanation:
All divide by 9
Two angles of a triangle measures 55 degrees and 20 degrees
Answer:
105
Step-by-step explanation:
55 + 20 + x = 180
7. Find the values of x and y
60°
y у
7
30°
Х
Answer: x = 12.124
y = 14
Step-by-step explanation:
In a 30, 60, 90 triangle, the side opposite the 30° angle is half the length of the hypotenuse. So y = 14.
7/sin(30) = 14
You can use the Pythagorean Theorem to calculate x.
14^2= 7^2 + x^2
196 - 49 = x^2
147 = x^2
sr/rt 147 = sq/rt x^2
12.124 = x
Or with trig
7/tan(30)= 12.124
Find x so that the triangle shown below is a right triangle.
i think its 7.5
Hopefully this helped
Which word best describes the degree of overlap between the two data sets?
Responses
high
high
moderate
moderate
low
low
none
What is the best way to learn percentage?
Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).
Step-by-step explanation:
The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
The statement that must be true for the parallelogram is
D. < CAD is congruent to < ACBWhat is alternate internal angles?Alternate internal angles are pairs of angles that lie on opposite sides of a transversal line intersecting two parallel lines. The angles are on the interior (between the two parallel lines) and are not adjacent to each other.
These angles are equal in measure (i.e., they are congruent), which means that if one angle has a certain degree of measure, the other angle will have the same degree of measure.
In the problem, the diagonal of the parallelogram is the transversal line and it is used to make the alternate internal angle theorem possible
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what is the length of an arc which substends an angle of 60digree at the center of a circle of radius 1/2m?
0.5236 meters is the length of the given arc.
The formula for the length of an arc is given by:
Arc Length = (θ/360) * 2πr
Where:
θ is the central angle in degrees.r is the radius of the circle.In this case, the central angle is 60 degrees and the radius is 1/2 meters.
Plugging the values into the formula, we have:
Arc Length = (60/360) * 2π(1/2)
Arc Length = (1/6) * π
Arc Length = π/6
Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.
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S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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Use the average daily balance method to compute the finance charge on the credit card account
for the month of August (31 days). The starting balance from the previous month is $270. The
transactions on the account for the month are given in the table to the right. Assume an annual
interest rate of 19% on the account and that the billing date is August 1st.
aug 7th. payment of $70
aug. 10 purchase of $135
aug. 15 purchase of $20
aug. 29 purchase of $25
what is the finance charge for the month of August?
The finance charge for the month of August is $4.93.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
The starting balance from the previous month is $270.
The transactions on the account for the month are given in the table to the right.
Assume an annual interest rate of 19% on the account and that the billing date is August 1st.
After finding the balance outstanding each day, we sum it up.
And get the average as $305.4839
Now we find the average balance by dividing it by 31 days of the August month.
Average balance = $305.4839
Finance charge = $305.4839 x19 x 31/365 days
Finance charge = $4.929589
Finance charge = $4.93
Therefore, the Finance charge = $4.93.
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need help with this question!
maybe a but the equation seems wrong
33 is 5% of what number?
Answer:
660
Step-by-step explanation:
We know that .05x=33
To solve this just divide by .05
33/.05=660
Answer:
Let the number be x
\(5\% \: of \: x = 33 \\ \frac{5}{100} x = 33 \\ x = \frac{33 \times 100}{5} \\ \boxed{x =660}\)
660 is the right answer.Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
4.9 mi to 2.8 mi
What is 103% of 127?
Answer:
130.81
Step-by-step explanation:
127 ⋅ ( 103/ 100 ) =130.81
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago. The following table shows the approximate number of tiger gars living in the lake since 2016:
2016 2017 2018 2019 2020 2021
322 399 507 618 785 975
Using the TI-nspire calculator, write an exponential function that models the population of tiger gar in the lake. (Round all numbers to the nearest hundredth.)
y=blank(blank)x
The exponential function that models the population of tiger gar in the lake is given as follows:
\(y = 322.63(1.25)^x\)
How to define an exponential function?An exponential function has the definition presented as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.Considering x as the number of years since 2016, the points are given as follows:
(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).
Inserting these points into an exponential regression calculator, the equation is given as follows:
\(y = 322.63(1.25)^x\)
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The following syllogisms are in standard form. Identify the major, minor, and middle terms, as well as the mood and figure of each. Then use the two lists of valid syllogistic forms to determine whether each is valid from the Boolean standpoint, valid from the Aristotelian standpoint, or invalid.
No people who mix fact with fantasy are good witnesses.
Some hypnotized people are people who mix fact with fantasy.
Therefore, some hypnotized people are not good witnesses.
In this syllogism, the major term is "good witnesses," the minor term is "hypnotized people," and the middle term is "people who mix fact with fantasy."
Syllogism is referred to as the arguing statement that is proved with the help of the other two given statement. For example, If statement I is that all pen are pencil and statement II is all pencil are cup then statement III that is all pen are cup is proved by the help of statement I and statement II.
The mood of the syllogism is "O-E-I," and the figure is 1. According to the list of valid syllogistic forms, the syllogism is valid from the Boolean standpoint but invalid from the Aristotelian standpoint. This is because the mood "O-E-I" is not a valid mood according to the Aristotelian list of valid forms, but it is a valid mood according to the Boolean list of valid forms.
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A number between 10 and 100 is four times the sum of its digits. If the product of two digits is 8, find the sum of digits of the number.
Answer:
24 is the number. The sum of its digits is 6.
Step-by-step explanation:
There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:
24 = 4 × 6 = 4 × (2 + 4)
Find the value of f(7).
y = f(x)
The value of f(7) for y = f(x) is y = 7
What is function in mathematics?
Function is a term used to refer to expression with variables. the variables consists of independent variable and dependent variable
Given data
y = f(x)
f(7)
hence y = f(7)
y = 7
f(x) = 7
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What is the distance between A and B on the number line below?
On a number line, point A is at 2.15 and point B is at 2.7.
0.55
0.65
2.48
4.85
Answer:
0.55
Step-by-step explanation:
all you do is subtract
Find the value of each variable.
Answer:
Step-by-step explanation:
The sum of exterior angles in a quadrilateral is always 360 degrees.
So, 2x+x+4x+3x=10x=360
Soling for x, we get x=36 degrees.