Remark
The difference is between any two terms. You should pick t3 and t4 which are both positive. That's easier to handle than a couple of minus signs.
d
t4 - t3 = d
13 - 5 = d
8 = d
a
the first term is - 11
Formula
t_n = a + (n-1)*d
t_n = -11 + (n-1)*8
Check
t_n = - 11 + (3-1)*8
t_3 = - 11 + 16
t_3 = 5 which it does.
Try t_5. It should be 21
t_5 = - 11 + (5 - 1)*8
t_5 = - 11 + 4 * 8
t_5 = -11 + 32
t_5 = 21
Answer
t_n = -11 + (n - 1)*8
Izzy is Iago's little sister. She is counting her coins. Izzy finds that she has three more quarters ($0.25) than she has dimes ($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes. With a total of $7.61 in coins, how many coins of each type does Izzy have?
Lzzy has three more quarters ($0.25) than she has dimes ($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes.
Let us assume number of dimes = x.
"Three more quarters than dimes" would be = (x+3) quarters .
"Twice as many nickels as dimes " would be = (2x) nickels.
"Four times as many pennies as dimes" would be =(4x) pennies.
Total value of all coins = $7.61.
We can setup an equation now.
0.10*x + 0.25(x+3) + 0.05(2x)+0.01(4x)=7.61.
Let us simplify the equation.
0.10x + 0.25x + 0.75 + 0.10x + 0.04x = 7.61
0.49x + 0.75 = 7.61.
Subtratcing 0.75 from both sides, we get
0.49x = 6.86
Dividing both sides by 0.49, we get
x= 14.
Therefore,
Number of dimes = x = 14.Number of quarters = (x+3) = 14+3 = 17.Number of nickels = 2x = 2*14 = 28.Number of pennies = 4x = 4*14 = 56.what is the slope of -4x - 3
Hey there!
The slope of the equation is -4.
This is because each time x increases by 1, y increases by -4.
You can typically find the slope right in front of the x value in equations that look like this one.
Hope this helps!
Is the digit in hundreds place 1/10 the value of the digit in the thousands place 8,556 yes or no
No, it is not.
Hope it helped! :)
A cell phone is 9 centimeters long. If the area of the cell phone is 45 square centimeters, what is the width of the cell phone?
Estimate the product by rounding 9x54
9*54=486
10x50=500
So, either 450 or 500.
(0,1)(4,2) find the slope and y-intercept using the point slope formula
Hello, Jssoyg! I've solved the problem for you below. I hope it helps.
Slope equation is[tex]\frac{y2 - y1}{x2 - x1}[/tex]. The two points are (0,1) and (4,2), so the equation becomes [tex]\frac{2 - 1}{4 - 0} = \frac{1}{4}[/tex]. We now know that the slope is 1/4, so now let's write it in the [tex]y = mx + b[/tex] format. Plug in the m, x, and y values:[tex]2 = 4*\frac{1}{4} + b[/tex].
This becomes [tex]2 = 1 + b[/tex] which means b = 1.
Your answer is y = 1/4x + 1. Hope this was helpful. :D
Charles has $20 to spend at the bakery he wants to buy six cupcakes and a pie. The pie costs
$12.50.what is the maximum price he can pay for each of the cupcakes?
Serena simplify the expression 3 (2x - 6 - x + 1 )^2 - 2 + 4x in step 1 she simplified within the parentheses in step 2 she expanded the exponent witch is a possible next step
Answer:
For step three she could multiply the two parenthesis against each other to get 3(x² - 10x + 25) - 2 + 4x
Step-by-step explanation:
step 1: 3(x - 5)² - 2 + 4x
step 2: 3(x - 5)(x - 5) - 2 + 4x
For step three she could multiply the two parenthesis against each other to get 3(x² - 10x + 25) - 2 + 4x
d. distribute the 3 to each term in the parentheses by multiplying.
First, simplify within parentheses: [tex]\(3(2x - 6 - x)^2 = 3(x - 6)^2\)[/tex]. Next, expand the exponent to get [tex]\(3x^2 - 36x + 108\)[/tex].
Sure, let's break down the steps:
Given expression:
[tex]\[ 3(2x - 6 - x)^2 - 24x \][/tex]
Step 1: Simplify within the parentheses.
[tex]\[ 3(2x - 6 - x)^2 = 3(x - 6)^2 \][/tex]
Step 2: Expand the exponent.
[tex]\[ 3(x - 6)^2 = 3(x^2 - 12x + 36) \][/tex]
[tex]\[ = 3x^2 - 36x + 108 \][/tex]
Now, combine this result with the given expression:
[tex]\[ 3x^2 - 36x + 108 - 24x \][/tex]
Step 3: Combine like terms.
[tex]\[ = 3x^2 - 60x + 108 \][/tex]
So, the simplified expression is:
[tex]\[ 3x^2 - 60x + 108 \][/tex]
The correct question is:
sharina simplified the expression 3(2x – 6 – x 1)^2 – 2 4x. in step 1 she simplified within the parentheses. in step 2 she expanded the exponent. which is a possible next step?
a. simplify the expression by adding and subtracting from left to right.
b. combine like terms within the parentheses.
c. combine all x-terms.
d. distribute the 3 to each term in the parentheses by multiplying.
PLEASE HELP RATIOS TABLES DUE TOMARROW!!!!!!
Since the ratio is as simple as 1:2, just double each Euro value.
1:2, 2:4, 5:10, 10:20.
Answer:
$4,$10,$20.
Step-by-step explanation:
If 1 Euro=$2 then,2 euro=2*2=$4 5 euro=5*2=$1010euro=10*2=$20Eighteen oranges are packaged in 3 containers. How many oranges are packaged in 7 containers?
18/3 = 6
Each container has 6 oranges
6 *7 = 42
Answer: 42 oranges
Who is correct and why?
if the total value of the coins is 71$ and she has 9 rolls of dimes, how many rolls of nickels does she have?
Answer:
18 rolls of nickles
Step-by-step explanation:
One roll of dimes would be the same value as 2 rolls of nickles. If she has 9 rolls of dimes, she would have 18 rolls of nickles.
Dont forget to thanks and rate!
Alysha has 13 nickel rolls.
Let x be the number of dime rolls and y be the number of nickel rolls.
What are linear equations?A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
Each dime roll has 50 dimes, then x dime rolls are worth 50×10×x=500x cents or $5x.
Each nickel roll has 40 nickels, and then y nickel rolls are worth 40×5×y=200y cents or $2y.
A. The total value of Alysha's rolls is 500x+200y cents or $(5x+2y).
If the total value of the coins is $71 and she has 9 rolls of dimes, then x = 9 and 5×9+2y=71.
⇒45+2y=71
⇒2y=71-45
⇒2y=26
⇒y=13
Therefore, Alysha has 13 nickel rolls.
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Alysha has a collection of dime and nickel rolls that she'd like to take to the bank. Each dime roll has 50 dimes and each nickel roll has 40 nickels.
a) Write an equation to represent the total value of
b) If the total value of the coins is $71 and she has 9 rolls of dimes, how many does she have?
What is the prime factorization of 2x3x5x7
This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210
So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7
I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.
The prime factorization of 2x3x5x7 is simply 2x3x5x7 itself because these are all prime numbers. Prime numbers are numbers that have only two factors: 1 and the number itself. In addition, the product 2x3x5x7 equals to 210, so the prime factorization of 210 is also 2x3x5x7.
Explanation:The prime factorization of a number is a product of the prime numbers that can multiply together to create the original number. In this case, the product 2x3x5x7 is already a multiplication of prime numbers. Hence, the prime factorization of 2x3x5x7 is simply 2x3x5x7.
Prime numbers are the numbers that have only two factors: 1 and the number itself. Examples of prime numbers are 2, 3, 5, and 7.
On the other hand, the product 2x3x5x7 equals to 210. So the prime factorization of 210 is also 2x3x5x7.
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A girl's feet are negative 4 over 6 yards from the surface of a pool. A boy's feet are negative 1 over 6 yards from the surface of the pool. Determine whose feet are closer to the surface.
The girl's feet are closer to the surface of the pool because negative 4 over 6 > negative 1 over 6.
The boy's feet are closer to the surface of the pool because negative 4 over 6 < negative 1 over 6.
The girl's feet are closer to the surface of the pool because negative 4 over 6 < negative 1 over 6.
The boy's feet are closer to the surface of the pool because negative 4 over 6 > negative 1 over 6.
Given the distances of -4/6 yards (for the girl's feet) and -1/6 yards (for the boy's feet) from the pool's surface, the boy's feet are closer to the pool's surface because -1/6 is greater than -4/6 in the negative number system.
Explanation:In this problem, we are comparing the positions of the girl's feet and the boy's feet relative to the surface of the pool. We are given that the girl's feet are at a distance of negative 4 over 6 yards from the pool's surface and the boy's feet are at a distance of negative 1 over 6 yards from the pool's surface. The negative numbers here indicate that the feet are below the surface of the pool.
We know that a number closer to zero has a higher value in the negative number system. Therefore, -1/6 is greater than -4/6. So, the boy's feet are closer to the surface of the pool because negative 4 over 6 (the girl's feet) is less than negative 1 over 6 (the boy's feet).
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how would you use a number line to round 16800 to the nearest ten thousand?
Well you'd see if it's closer to 10000 or 20000.
In this case it would round to 20000.
What are the 6 trigonometry functions
Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)
Tao is making a 7 feet high door. If the height is 1 more than twice its width, what it its width?
15 ft because double 7 and add 1 more and what dose it make? 15!
-ii 6th grade
Daniel biked to the park. On the way, he stopped for a soda, then continued to the park. After playing a game of catch, Daniel biked home. Between which two points did Daniel more than likely stop for a soda?
A) between points B and C
B) between points C and D
C) between points D and E
D) between points E and F
the distance from home would not change while he was stopped, so it would be a flat line. the two possibilities are B and C or D and E. He stopped for a soda then played catch (which would also be a flat line since he would be the same distance from home) so it must be B and C
Choice A
Answer:
A
Step-by-step explanation:
because D and E is when he's playing catch and right after he went home.
23-4x=27
solve for x.
Hello there!
Answer: ⇒ [tex]x=-1[/tex]
_________________________________________________________________
Step-by-step explanation:
First you had to subtract by 23 from both sides of equation.
[tex]23-4x-23=27-23[/tex]
Simplify.
[tex]-4x=4[/tex]
Then you divide by -4 from both sides of equation.
[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]
Simplify its should be the correct answer.
[tex]x=-1[/tex]
__________________________________________________________________
Hope this helps!
Thank you for posting your question at here on brainly.
Have a great day!
-Charlie
___________________________________________________________________-
Five classmates came to Dan’s birthday party.Thus is as many as the number of friends from his summer camp,and one third as many as the number of his relatives that were there.How many people were at Dan’s birthday party
I think it is 25 sorry if im wrong
Answer:
There were 25 guest in Dan's party.
Step-by-step explanation:
We are given the following information in the question:
Number of classmates came to Dan’s birthday party = 5
Number of friends from his summer camp = Number of classmates came to Dan’s birthday party = 5
Number of relatives in Dan's party =
Let x be the number of relatives, then,
[tex]\displaystyle\frac{x}{3} = 5\\\\x = 15[/tex]
Total number of guest in Dan's party =
[tex]\text{Number of classmates came to Dan’s birthday party} +\\ \text{Number of friends from his summer camp } + \\\text{Number of relatives}\\= 5 + 5 + 15\\=25[/tex]
Hence, there were 25 guest in Dan's party.
Please answer quickly thanks :)
In the first drop box it says , "distance from 15.3 to zero on a number line, or opposite of 15.3"
On the second drop box it says , "Negative or positive"
Positive. The distance from a number to zero is always positive
Positive. The distance from a number to zero is always positive . hope that helps
0.5-3(0.5+1) with a power of 2
Answer: -6.25
Step-by-step explanation: 0.5 -3(0.5+1)^2
=0.5 -3(1.5)^2
= 0.5 -3(2.25)
= 0.5-6.75
= -6.25
What is the value of x in the equation 1/5 x – 2/3y = 30, when y = 15?
1/5x - 2/3(15) = 30
Answer is: by simplifying both sides of the equation, then isolating the variable.
x = 200
1/5 x – 2/3y = 30
1/5 x – 2/3 (15) = 30
1/5x - 10 = 30
1/5x = 40
x = 200
eric studied for 17.5 hours for a period of 4.5 days. On the average, how much did he study each day?
Is in,general, how tall are giraffes? A statistical question or non statistical question
the height of (my favorite animal if i might add) an adult male giraffe can grow up to 16-20 feet while the females grow up to 15 feet
Answer:
Statistical question.
Step-by-step explanation:
Given question
Is in, how tall are giraffes?
Statistical question is that type of question which have more than one possible answers. The answer of statistical question is the collection of various points of data. The answer of statistical question depends on variety and situations. The answer of statistical question may be range . Answer of statistical question are more than one.
Non statistical question is that type of question which have only one answer.
For example, the value of 2+2
Answer: 2+2=4
It has only one answer .Therefore , it is non statistical question.
Given question is a statistical question because the height of all giraffes are not same . Height of some giraffes are same and some giraffes have same height. The height of female giraffes are smaller than the height of male giraffes.
The range of height of male giraffes lies between 16 feet to 20 feet.
Solve 2(x+1)=2x+5
A. All real numbers
B. No solution
C. 0
D. 3
2(x+1) = 2x+5
2x + 2 = 2x = 5
2 ≠ 5
Answer
B. No solution
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d?
Answer:
6
Step-by-step explanation:
The approximate distance in km between her house and her job is 9 km.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles
It is given that :
The distance on a map between a student’s house and her job is 6 cm.
also, on the same map, the distance between her house and her school is 8 cm.
The scale of the map = 8cm : 12km
Therefore, Distance between the house and the job = (12 x 6) / 8 = 9m
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A music store gives every 20th customer a $5 gift card. Every 50th customer gets a $10.00 gift card. Which customer will be the first to receive both types of gift cards?
100th customer is your answer
Find the first number that shows up on both answers when they are added
Add 20 each time for $5 gift card:
20, 40, 60, 80, 100
Add 50 each time for $10 gift card:
50, 100
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As seen above, the first number that shows up on both is 100, therefore, 100 is your answer
hope this helps
if theres a no solution in my equation of:
5x-4=4x+30+x then what do I write ?
Remark
There's no ONE solution to this equation. But x can be anything or the solution could be the empty set. Try writing no solution. If that doesn't work, try empty set [which won't work if you don't know what a set is]. If that doesn't work, write your instructor or if you have notes, see what the notes say.
Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate.
Part A: Write an equation using one variable that can be used to find the total number of pounds of dark chocolate and milk chocolate in the candy. Define the variable used in the equation. Hint: 0.25x represents the number of pounds of dark chocolate in the candy. (5 points)
Part B: How many pounds of dark chocolate are present in the candy?
Part A:
If 25% is dark chocolate and the rest is milk chocolate then, dark + milk = all
25% + milk chocolate= 100%
Subtract 25% from both sides and 100 minus 25 is 75 so, milk chocolate is 75% of all the chocolate.
Now, if there is 3 pounds of milk chocolate then 3 pounds= 75%.
You would divide by 3 so, 75 divided by 3 is 25.
1 pound or lb= 25% which us the amount of dark chocolate that there is.
Now, we know that there milk chocolate is 75% and dark chocolate is 25% of all the chocolate.
M= pounds of milk chocolate
D= dark chocolate
Equation: m divided by d or m/d= 75 divided by 25 or 75/25 or m/d=3 and m=3
3 divided by d or 3/d=3
3=3d
D=1
Part B:
There is 1 pound of dark chocolate in the candy.
Hope this helps! :)
Final answer:
The equation to find the total pounds of dark chocolate and milk chocolate in the candy is 0.25x + 3 = x. There are 4 pounds of dark chocolate present in the candy.
Explanation:
Part A: Let's define the variable x as the total number of pounds of dark chocolate and milk chocolate in the candy. Since the candy contains 25% dark chocolate, we can represent the pounds of dark chocolate as 0.25x. The candy also has 3 pounds of milk chocolate, so we can represent the pounds of milk chocolate as 3. Therefore, the equation is: 0.25x + 3 = x.
Part B: To find the pounds of dark chocolate in the candy, we can solve the equation from Part A. First, subtract 0.25x from both sides: 3 = 0.75x. Then, divide both sides by 0.75 to solve for x: x = 4. Therefore, there are 4 pounds of dark chocolate present in the candy.