Answer:
d = 2 and terms are 6, 8, 10 12 and 14
Step-by-step explanation:
we know
[tex] a_{n} = a_{1} + (n-1)d [/tex]
here a(n) = nth term
a1 = 1st term
n = no. of term
d = common difference
putting the values we get,
178 = 6 + (87-1)d
⇒ 178 = 6 + 86d
⇒86d = 172
⇒ d = 2
So required common difference is 2.
Now the first term is 2
so second term is a2 = 6 + ((2-1)×2) = 8
third term = 6 + ((3-1)×2) = 10
fourth term = 6 + ((4-1)×2) = 12
fifth term = 6 + ((5-1)×2) = 14
What is the answer to the expression "the difference of 9 and 2"?
the difference between 9 and 2 is 7
Answer:
7?
Step-by-step explanation:
Uhhhh
You subtract 9 and 2
7
That's crazy now
Every month, the bank withdraws $15 from Betsy's checking account as a service fee. Betsy has budgeted $75 for the next few service fees. For how many months will the service fee be covered?
The number of months that betsy has for $75 is 5 months
How we calculate the price of a battery when have a price of collection of the batteries?When we given a pack of objects with some cost, then to calculate the price of one object, divide the amount of pack by number of objects in the pack.
According to given data in the question:Question said that every month, the bank withdraws $15 from Betsy's checking account as a service fee.
But betsy has $75 for few month
Then number of months = $7/15= 5 months
Thus, number of months for $75 is 5.
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18. Aaron bought 132 inches of wire. He
cut the wire into 9 pieces that were the
same length. What was the length of
each piece of wire? (Show work)
Mr Corona sells magazines part time. He is paid a monthly commission.
The total commission of Mr. Corona will be equal to $417.62
What is commission?
A commission is a proportion of all sales.
total sales x rate of commission equals commission.
Multiply the commission rate by the total sales to get the commission on a sale. Recall to convert the commission rate from a percent to a decimal first, just as we did for computing the sales tax.
As given in the question,
Mr. Corona receives 21% of the first $1500,
which he exceeded, so he will receive 21% x $1500 = 0.21 x $1500 = $315
He will receive 14$ of the amount over $1500,
which is $2233 - $1500 = $733
Out of this amount, he will be paid $733 x 14% = $733 x 0.14 = $102.62
Therefore, The total commission will be $315 + 102.62 = $417.62
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Complete Question
Mr. Corona sells magazines part time. He is paid a monthly commission. He receives 21% of his first 1,500 in sales and 14% of the balance of his sales. Last month he sold 2,233 worth of magazine subscription. How much commission did he earn last month?
TRANSLATING and SOLVING Equations
“The product of a number and -7 is 63”
Equation:
Answer:
9
Step-by-step explanation:
mx-7=63
m times -7=63
Eli is building a stage, which is shaped like a trapezoid. The bases are 7.8 and 5 yards, and the height
is 7 yards. How many square yards large is the stage?
Answer:
44.8 square yards
Step-by-step explanation:
Area of trapezoid:a = 7.8 yds
b = 5 yds
h = 7 yds
[tex]\sf \boxed{\bf Area \ of \ trapezoid = \dfrac{(a +b)*h}{2}}[/tex]
Here, a and b are the parallel lines and h is the height between the parallel lines.
[tex]\sf = \dfrac{(7.8+5)*7}{2}\\\\= \dfrac{12.8*7}{2}\\\\=6.4*7\\\\=44.8 \ square \ yards[/tex]
A standard game of Monopoly includes 20 orange $500 bills, 20 tan $100 bills, 30 green $50 bills, 50 blue $20 bills, 40 of each of the $5, $10, and $1 bills. What is the probability that I randomly pick a $50 bill from the pile? what is the answer.
Answer: 30/240 = 1/8
Step-by-step explanation: There are 30 $50 bills and 240 total. There is a 30/240 chance that the bill you pick is a $50 bill. To simplify the fraction - 1/8.
Find the missing number so that the equation has no solutions.
5x + 7 = ?x + 5
Answer: 5
Step-by-step explanation:
If the missing number is 5 we can write the equation
5x + 7 = 5x + 5
Subtract by 5x on both sides
7 = 5
7 does not equal have so we know it has no solutions.
Principal is
•
A. The original amount invested
•
B. The total amount earned
•
C. Interest plus original amount invested
•
D. Interest on a loan
As per the concept of simple interest the term principal refers the original amount invested.
Simple interest:
Basically, the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given,
Here we need to find the correct definition of the term principal.
As per the definition of the concept simple interest, then term principal refers the amount to be invested on the particular assets.
And at the nd of the particular, period the principal amount is either increase or decrease based on the interest applied on it.
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Please help! half of the passengers on a train are 6 years old, 1/10 are 7 years old, 1/5 are 8 years old, and 1// are 9 years old. what is the expected value?
Answer:
10/10
Step-by-step explanation:
you take every number to 10 like half is 5/10. the 8 year olds are 2/10. so 5+1+2+2 = 10/10 so the buss is full.
What is the surface area of the three-dimensional figure?
The surface area of the unfolded prism is 77 square inches.
How to determine the surface area of an unfolded solid
Herein we find a representation of an unfolded right prism with an isoceles triangle cross area, the surface area is the sum of the areas of all faces of the solid. There are a rectangle, two squares and two isosceles triangles as faces of the prisms. The area formulas for each expression are described below:
Rectangle
A = b · h
Where:
b - Base, in inches.h - Height, in inches.Isosceles triangle
A = (1 / 2) · b · h
Square
A = l²
Where l is the side length, in inches.
Now we proceed to determine the surface area of prism:
A = 2 · (5 in)² + (3 in) · (5 in) + 2 · (1 / 2) · (3 in) · (4 in)
A = 50 in² + 15 in² + 12 in²
A = 77 in²
The prism has a surface area of 77 square inches.
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4. An average cigarette contains 1.5 mg of nicotine. The average smoker
smokes 15 cigarettes a day. How much nicotine does the average
smoker inhale a day?
Answer:
22.5 mg of nic
Step-by-step explanation:
1.5*15=22.5mg
don't smoke kids! (idc)
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution.
The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the
solution Bruce should use.
amount of 10% alcohol
How much of the 10%
alcohol solution should Bruce use?
mL
How much of the 15% alcohol solution
should Bruce use?
mL
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What does a math multiple mean?In mathematics, multiples are the results of multiplying an integer by a certain number. Examples of multiples of 5 are 10, 15, 20, 25, 30, etc. There are several 7s, including 14, 21, 28, 35, 42, and 49.Identify a few three-digit multiples now. Skip counting is a simple method for remembering the multiples of single-digit integers.
What is it Equation explain ?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.. A formula would be 3x - 5 = 16, for instance. After solving this equation, we learn that the value of the variable x is 7.
You need 50 cc of a 12% alcohol solution.
We need 50 cc of the 12% alcohol solution, which we have at 10% and 15%.
Two equations were constructed: x = 10% volume and y = 15% volume.
a) x + y = 50
b) 50 ml at 12%, or.12 * 50, is equal to.1x +.15y = 6.0.
dividing equation "a" by -.1 and adding it to equation "b"
a) -.1x -.1y = -5
b) .1x +.15y = 6.0
.05y = 1
X would equal 30 ml of 10% since y = 20 ml of 15%.
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a. Using variables, write out the formula for the point-slope form of the equation.
b. Determine the slope of the line that passes through the points (-2, 1) and (0, 1).
c. Identify the point (-2, 1) as (x1, y1).
d. Write the equation of the line in point-slope form.
Show all work on how you found the slope or determined the slope from the graph. Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.
The point-slope form of the equation is y - 1 = 0
The formula for the point-slope form of the equationFrom the graph, we have the following points
(-2, 1) and (0, 1)
Start by calculating the slope of the points
This is calculated as
slope = (y₂ - y₁)/(x₂ - x₁)
This can be rewritten as
m = (y₂ - y₁)/(x₂ - x₁)
Where
slope = m
(x, y) = (-2, 1) and (0, 1)
So, we have
m = (1 - 1)/(0 + 2)
Evaluate the expression
m = 0
From the question, we understand that:
(x₁, y₁) = (-2, 1)
The equation of the line is then calculated as
y - y₁ = m(x - x₁)
Substitute the known values in the above equation, so, we have the following representation
y - 1 = 0(x + 2)
Evaluate
y - 1 = 0
Hence, the equation of the line is y - 1 = 0
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please help asap
math question
Answer:
f(x) = [tex](\frac{1}{4}) ^{x}[/tex]
Step-by-step explanation:
the exponential function is of the form
f(x) = [tex]a^{x}[/tex]
to find a substitute the point (2, [tex]\frac{1}{16}[/tex] ) from the graph into f(x)
[tex]\frac{1}{16}[/tex] = a² ( take square root of both sides )
a = [tex]\sqrt{\frac{1}{16} }[/tex] = [tex]\frac{1}{4}[/tex] , then
f(x) = [tex](\frac{1}{4}) ^{x}[/tex]
TB MC Qu. 07-135 (Algo) On July 9, Mifflin Company receives...
On July 9, Mifflin Company receives an $8,200, 120-day, 6% note from customer Payton Summers to replace an account receivable. What entry should be made by
Mifflin on the maturity date assuming the maker pays in full, and no adjusting entries have been made related to the note? (Use 360 days a year.)
Multiple Choice
Debit Cash $8,364, credit Interest Revenue $164; credit Notes Receivable $8,200
Debit Cash $8,282; credit Interest Revenue $82, credit Notes Receivable $8,200.
Debit Notes Receivable $8,200, debit Interest Receivable $164; credit Sales $8,364.
Debit Cash $8,200, credit Notes Receivable $8,200.
Answer:
a
Step-by-step explanation:
cause
mr sharma has 3/4 pounds of swiss cheese and 2/3 pounds of cheddar cheese. he uses 1/4 of the swiss cheese and 1/2 of the cheddar cheese. how many pounds of cheese does mr sharma use
The pounds of cheese that Mr Sharma used is 25 / 48 pounds
How to calculate the value?From the information, Mr sharma has 3/4 pounds of swiss cheese and 2/3 pounds of cheddar cheese. he uses 1/4 of the swiss cheese and 1/2 of the cheddar cheese.
The cheese that was used will be:
= (1/4 × 3/4) + (1/2 × 2/3)
= 3/16 + 1/3
= 9/48 + 16/48
= 25 / 48
He used 25/48 pounds.
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ZLE Add one set of parentheses to the expression 7x+3+8x+3x+8-9 so that it is equivalent to 2(9x + 10).
U EE ET² T₂
The expression should be added by 18 so the expression will be equivalent to the 2(9x+10).
Given that,
The expression is 7x+3+8x+3x+8-9.
We have to equivalent the given expression to the 2(9x+10).
Take the expression,
7x+3+8x+3x+8-9
Write in order the variable terms first and next constant.
7x+8x+3x+3+8-9
Now, Adding the variable terms
18x+3+8-9
Now, Adding or subtracting the constant.
18x+2 ----->equation(1)
Take this as equation (1)
Now take the another expression.
2(9x+10)
18x+20----->equation(2)
Take this as equation (2)
The equation(1) is not equal to equation (2)
If we add 18 to the equation (1) we get equation (2)
18x+2+18
18+20
Therefore, The expression should be added by 18 so the expression will be equivalent to the 2(9x+10).
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Find the missing angles
First picture answer:
⇒Sum of interior angles of a triangle is 180°,this means that ∠1 +37°+24°=180°
[tex]< 1+61=180\\ < 1=180-61\\ < 1=119[/tex]
⇒m∠1=119°
______________________________________________________
Second picture answer:
⇒An exterior angle of a triangle is created by extending one side of the triangle.
⇒ Exterior angle at this point is m∠1
⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
⇒The two interior angles at this point are 76° and 52°
⇒The statement above just means m∠1=76°+52°
m∠1=128°
______________________________________________________
Third picture answer:
⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
⇒The exterior angle at this point is 104° and the two interior angles are 79° and m∠1
⇒The statement above means that
104°=m∠1 +79°
⇒Let us solve for the unknown angle m∠1
m∠1=104°-79°
m∠1=25°
Im tryin to get ready for the test
Answer:
Sentence: I’m trying to get ready for a test
Add on: I will pass
Step-by-step explanation:
please help me it's due now, please
Which image shows a rotation? A, B, or C
Answer: B
Step-by-step explanation: A is a translation, C is reflection and B is the reflection.
Hoped This Helped!
Leaves and acorns are falling from the trees, but to work out the exact number of each you need to solve the following equation.
If l number of leaves = 46, what does a (acorns) equal?
l + 3a = 145
Using the equation, the number of acorns that fell if 46 leaves fell is 33.
How to find the number of acorns?Leaves and acorns are falling from the trees. To work out the exact number of each you need to solve the following equation.
l + 3a = 145
where
l = number of leavesa = number of acornsLet's find the number of acorns that fell if 46 leaves fell off from th tree.
Therefore,
l + 3a = 145
46 + 3a = 145
3a = 145 - 46
3a = 99
divide both sides by 3
a = 99 / 3
a = 33
Therefore,
number of acorns = 33
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In parallelogram EFGH, the measure of angle G is (4x + 16)° and the measure of angle H is (2x - 16)°. What is the measure of angle H?
32°
44°
88°
136°
The measure of angle H is 44°. in the parallelogram.
What is parallelogram?
A unique variety of quadrilateral made up of parallel lines is known as a parallelogram. A parallelogram can have any angle between its adjacent sides as long as its opposite sides are parallel. If two opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both pairs of opposite sides are parallel and equal is known as a parallelogram.
We can solve this easily using alternative interior angles. A parallelogram's interior is always 360 degrees, right?
(4x + 16)° + (2x - 16)° = 180
6x = 180
x = 180/6 = 30
So the angle H = 2*30 - 16 = 44°
To visualize the parallelogram, drawing it out is always helpful. Greg S., a widely renowned mathematician who specializes in geometry, says the answer is 44 degrees.
Hence The measure of angle H is 44°.
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Two sides of a triangle have the following measures. Find the range for the measure of the third side.
7,10
A.3 < x < 14
B.4
C.5 < x < 10
D.3 < x < 17
Help please
I really need help
The range for the third side will be around 5<x<10
What is Pythagoras theorem?
Pythagoras theorem is a theorem applied to right angled triangle. It states that sum of squares of sides of a right triangle is equal to the square of the hypotenuse.
Let use consider that the given triangle is right triangle
We know the length of the hypotenuse is 10
And one of the side is of length 7
Let the side of the triangle be 'x'
Hence by Pythagoras theorem
We have
7^2+x^2=10^2
49+x^2=100
x^2= 51
x= 7.2
Hence this range is in between 5<x<10
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What is a rational number between 4/9 and 6/11
A developer of a new subdivision offers a
prospective home buyer a choice of 4 designs, 3 differ-
ent heating systems, a garage or carport, and a patio or
screened porch. How many different plans are available
to this buyer?A developer of a new subdivision offers a
prospective home buyer a choice of 4 designs, 3 differ-
ent heating systems, a garage or carport, and a patio or
screened porch. How many different plans are available
to this buyer?
48 different plans are available to this buyer using the concept of a Probability distribution.
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
According to the question:
Number of different plans available
= no of designs ×no of different heating systems× 2 × 2
So, we have:
no of designs = 4;
no of different heating systems= 3;
So, substituting the value we get:
= 4 × 3 × 2 × 2
= 48
Hence,
48 different plans are available to this buyer.
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solve the question please
Answer:
the answer is A
Step-by-step explanation:
you are dividing with a - so the signs will switch
What is 1 1/2 + 2 3/5 =
Answer:4 1/10
Step-by-step explanation:
Kyle had 17 cookies and then he bought 25,more cookies. He wants to
share them between himself and 6 friends. How many cookies will each
friend get?
Answer:
6 cookies
Step-by-step explanation:
himself + 6 friend = 7
(17+25)/7
= 42/7
= 6
Each friende get:
6 cookies
Answer:
6 cookies each person
Step-by-step explanation:
kyle had 17 cookieshe then bought 25 more meaning he had now 42 cookies(17+25=42)
he wanted to share them equally between himself and his 6 friends meaning they were 7 people in total thus 42÷7=6A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are red is b. The probability that none of the marbles are red is
For the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.
As given in the question,
Total number of marbles in a bag = 9 red + 6 white + 7 blue
= 22 marbles
Number of marbles drawn from a bag without replacement = 3
Probability of all the three marbles are red without replacement :
First marble is red = 9 /22
Second marble is red = 8 /21
Third marble is red = 7/20
Required probability of all marbles are red
= (9/22) (8/21)(7/20)
= 504/ 9240
= 0.0545 (round off to 4 decimals)
Probability of all the three marbles are not red without replacement :
First marble is not red =(1- 9 /22)
= 13/22
Second marble is not red = 1- (8 /21)
= 13/21
Third marble is not red = 1- (7/20)
= 13/20
Required probability of all marbles are not red
= (13/22) (13/21)(13/20)
= 2197/ 9240
= 0.2378 (round off to 4 decimals)
Therefore, for the given set of marbles at random draw 3 marbles without replacement then the probability of withdrawing all marbles are red is equal to 0.0545 and none of the given marbles are red is equal to 0.2378.
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