Answer:
3x+4y=-8
Step-by-step explanation:
Clear the fraction, so multiply by 4, so, 4y=-3x-8
Then move x to the other side by adding 3x to both sides. 3x+4y=-8
At the arcade, Ryan, Sara, and Tim played video racing games, pinball, and air hockey. Ryan spent $6 for 6 racing games, 2 pinball games, and 1 game of air hockey. Sara spent $12 for 3 racing games, 4 pinball games, and 5 games of air hockey. Tim spent $12.25 for 2 racing games, 7 pinball games, and 4 games of air hockey. How much did each of the games cost?
Answer: Racing $.50
Pinball $.75
Air Hockey $1.50
what would be your first step in completely factoring 6a^2-15a+6
The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).
In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:
3(2a^2 - 5a + 2)
Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.
The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:
3(2a - 1)(a - 2)
Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
for similar questions on factoring.
https://brainly.com/question/28260513
#SPJ8
can someone PLS HELP me this is due asap i rlly need it!!!
I bought a pie. It cost somewhere between £1.30 and £2.99. I gave a 24% tip, and the total price was still an exact number of a pence. When I paid with a £5 note I received five coins in my change (the fewest I could have been given for that amount). What were the two possible amounts of change I could have been given?
Answer:
the two possible amounts of change are £3.01 and 39p.
Step-by-step explanation:
Let's start by finding the possible prices for the pie after the 24% tip has been added. We know that the total price must be an exact number of pence, which means that the price before the tip must have been a multiple of 25 (since there are 100 pence in a pound).
The possible prices before the tip, between £1.30 and £2.99, are:
£1.30 = 130p
£1.31 = 131p
...
£2.98 = 298p
£2.99 = 299p
To find the prices after the 24% tip, we multiply each of these values by 1.24:
130p * 1.24 = 161.2p = £1.612 = £1.61 (rounded to 2 decimal places)
131p * 1.24 = 162.44p = £1.6244 = £1.62
...
298p * 1.24 = 369.52p = £3.6952 = £3.70
299p * 1.24 = 370.76p = £3.7076 = £3.71
So the possible prices for the pie after the 24% tip are between £1.61 and £3.71.
Next, we need to find the possible amounts of change that would result from paying with a £5 note and receiving the fewest possible coins. We can do this by subtracting the total cost of the pie from £5 and seeing which combinations of coins add up to that amount.
Let's start with the lowest possible price for the pie, £1.61. If we add 24% to that, the total cost is £1.99 (rounded to 2 decimal places), which means our change is £3.01. The fewest possible coins we could receive for that amount are:
£2 coin
£1 coin
1p coin
So the first possible combination of change is:
£2 + £1 + 1p = £3.01
Now let's try the highest possible price for the pie, £3.71. If we add 24% to that, the total cost is £4.61, which means our change is 39p. The fewest possible coins we could receive for that amount are:
20p coin
10p coin
5p coin
2p coin
2p coin
So the second possible combination of change is:
20p + 10p + 5p + 2p + 2p = 39p
Therefore, the two possible amounts of change are £3.01 and 39p.
50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: six-cylinder compact
Year driven: second
Miles driven: 14,000
The insurance cost for second year is $
.
If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.
DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.
From the table , the insurance cost for the second year based on the prescription given is : $1329
Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .
The operating cost in insurance for the second year is therefore $1329.
Learn more on insurance :https://brainly.com/question/30291521
#SPJ1
Which statement is true about the value of the expression below?
PLEASE HELP
Answer:
The answer is It is between 0 and 1
Step-by-step explanation:
If you solve the problem step by step as (-2^3)^-2<1 then it comes out as true so it would be less than 1 but more then 0.
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
Brainliest for the correct awnser!!! In general, when solving a radical equation with square roots, you should first isolate the radical and then _____ both sides.A.addB.squareC.multiplyD.subtract
Answer:
B
Step-by-step explanation:
Answer:
The answer for this Question is Elementary
It is B.
I need help with this question
The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
To learn more about exponential function visit:
https://brainly.com/question/14355665
#SPJ1
What isthe expanded form for 6 squared
Answer:
6 × 6
Step-by-step explanation:
6 squared also know as 6^2 means 6 × 6
25 liters of water are pumped into a dam in 20 seconds
how much water will be pumped in within 3 minutes??? help please
1 minute = 60 seconds.
3 minutes x 60 seconds = 180 seconds.
180 seconds / 20 = 9
25 liters x 9 = 225
Total water in 3 minutes = 225 liters
Answer:
225 liters
Step-by-step explanation:
There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes
25 20
50 40
75 60
100 80
125 100
150 120
175 140
200 160
225 180
Solve....3(x+3)=-4x+30
Answer:
x=3
Step-by-step explanation:
Hey there!
In order to solve this equation, we must first distribute the 3
3x + 9 = -4x + 30
Now we combine like terms
7x = 21
Then we divide both sides by 7 to get x by itself
x = 21/7
x = 3
Answer: x=3
Step-by-step explanation:
To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
3(x+3)=-4x+30 [distribute]
3x+9=-4x+30 [add both sides by 4x]
7x+9=30 [subtract both sides by 9]
7x=21 [divide both sides by 7]
x=3
Therefore, we get x=3.
Which functions represent a vertical stretch of the parent function, f(x) = 1/x? Check all that apply.
g(x) = 3/x
g(x) = -2/x
g(x) = 1/4x
g(x) = 5/2x
g(x) = 1/2x
Answer:
\(g(x) = \frac{3}{x}\)
\(g(x) =-\frac{2}{x}\)
\(g(x) =\frac{5}{2x}\)
Step-by-step explanation:
Given
\(f(x)=\frac{1}{x}\)
Required
Which represents vertical stretch of f(x)
The transformation is represented as:
\(g(x) = a* f(x)\)
Where:
\(|a| > 1\)
So, the functions are:
\(g(x) = \frac{3}{x}\) ---- \(|3| > 1\)
\(g(x) =-\frac{2}{x}\) --- \(|-2|>1\)
\(g(x) =\frac{5}{2x}\) --- \(|\frac{5}{2}| > 1\)
Answer:
the other person is correct if you need them quick it is a b and d
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y = 2000(1.04)^x
We have that the formula for exponential decay is the following:
\(y=a(1-r)^x\)where r is the decay rate. In this case, we have the following:
\(y=2000(1.04)^x\)notice that since 1.04 shows the change of the origina amount, we have that it increases 104% (since 104% = 1.04).
then the change represents growth, with a rate of increase of 4%
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
what is a square?According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.
To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.
Assuming that both squares are the same size, we may combine the fractions using a common denominator:
2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20
As a result, the entire shaded area is 3/20 of the total area of the diagram.
We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.
In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
To know more about square visit:
https://brainly.com/question/14198272
#SPJ1
what does 30,000 divided by 12,674 equals?
Answer:
2.36705065488
What is 190 divide by 1560
Answer:0.12
Step-by-step explanation:
Answer: 0.12.
explanation? sure.
first you get your quoitent then round it
(0.12179487179)
0.12.
there- ( o=^•ェ•)o ┏━┓
7. A group of Ember students went to a campground. While there they cooked and found a
way to stay warm throughout the night. They placed logs in a pit and started a fire. Which
type of energy was emitted by the fire?
. A. thermal energy
B. nuclear energy
e C. electrical energy
D. chemical energy
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
The price of a jacket was increased from $110 to $126.5. What was the percent increase in the price of the jacket?
Answer:
15%
Step-by-step explanation:
percent increase is actual increase divided by starting value16.5/110 = 0.1515%Percent increase in the original price of jacket = 15%
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given,
Original price of jacket = $110
Increased price of jacket = $126.5
Increased amount = $126.5 - $110
= $16.5
Increased amount in percentage = ($16.5/$110) × 100
= 0.15 × 100
= 15%
Hence, 15% is increase in the original price of jacket.
Learn more about percentage here:
https://brainly.com/question/16797504
#SPJ2
Find the mean, median and mode of the data set. If there is no mode, enter the words "no mode". 140, 128, 124, 137, 143, 126, 130, 136
Answer:
mode = no mode. median = 133, mean = 133
Step-by-step explanation:
mode = most common value. all of the values appear once. so there is no mode.
median = arranging the data in numerical order, then finding middle value.
there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).
median is halfway between 130 and 136. that is 133.
mean = add up the values/ how many there are
adding them up, you get 1064. there are 8 values.
mean = 1064/8 = 133
Find the shortest distance from Starting vertex A to F on the network below
In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:
What are the steps?Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.
Establish the initiating vertex as the current vertex.
Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.
Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.
Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.
Learn more about vertex on
https://brainly.com/question/21191648
#SPJ1
Solve:5/6-2/9= these are common denominators
33/54
Step-by-step explanation:
Step 1
So we multiply 5 by 9, and get 45.
Then we multiply 2 by 6, and get 12.
Next we give both terms new denominators -- 6 × 9 = 54.
So now our fractions look like this:
45/54 − 12/54
Step 2
Since our denominators match, we can subtract the numerators.
45 − 12 = 33
So the answer is:
33/54
James can read 520 words in 2 minutes.
Luke can read 960 words in 5 minutes. At
what rates are James and Luke able to read?
James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
To learn more about Rate refer,
https://brainly.com/question/119866
#SPJ2
James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
To learn more about Rate refer,
brainly.com/question/119866
#SPJ2
What is 4/16 in simplest form
someone help me out!
\(\red{➤}\:\)\(\sf f(x) = 2x^3-5x^2-3x \)
\(\red{➤}\:\)\(\sf g(x)=x\)
\(\\\)
To Find:-\(\orange{☛}\:\)\(\sf h(x) \)
\(\\\)
Solution:-\(\begin{gathered}\\\quad\longrightarrow\quad\sf h(x) =f(x)÷g(x) \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{f(x)}{g(x)}= \dfrac{2x^3-5x^2-3x}{x} \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{x(2x^2-5x-3)}{x} \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\sf 2x^2-5x-3 \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf{h(x)= 2x^2-5x-3}} \\\end{gathered} \)
Answer ALL the questions, SHOW ALL YOUR WORK. Explain your answers when necessary. Answer ALL questions
in complete sentences.
1. Anthony rode his bike 141 miles in 3 weeks, riding the same distance each week. Malique rode his bloycle 165
miles in 5 weeks, riding the same distance each week. Which statement correctly compares the number of miles per
week they rode?
a. Anthony rode 47 more miles per week than Malique.
b. Malique rode 33 more miles per week than Anthony
c. Malique rode 12 more miles per week than Anthony
d. Anthony rode 14 more miles per week than Malique.
Answer:
d. Anthony rode 14 more miles per week than Malique.
Step-by-step explanation:
Anthony rode (141 mi)/(3 wk) = 47 mi/wk.
Malique rode (165 mi)/(5 wk) = 33 mi/wk.
Anthony rode more miles per week by ...
(47 -33) mi/wk = 14 mi/wk
Anthony rode 14 more miles per week than Malique.
find the surface area of the prism
Answer: 132 cm cubed
Step-by-step explanation:
0.5*3*4*2=12
10*5=50
4*10=40
3*10=30
30+40+50+12=132 cm cubed
The diameter of a ball is 14 inches. How many cubic inches of air can the ball hold? Round to the nearest tenth. [Use pi = 3.14] *
The ball can hold 1436.0 cubic inches of air
Explanation:Given that the diameter of the ball is 14 inches, the radius is half of this, which is 7 inches.
The volume of the ball is given as:
\(\begin{gathered} ^{}V=\frac{4}{3}\pi r^3 \\ \\ =\frac{4}{3}(3.14)(7^3) \\ \\ =1436.0in^3 \end{gathered}\)What is the area, in square inches, of the trapezoid below?
7.1 in
8 in
15.1 in
Answer:
If the height is 8 inches and the bases are 7.1 and 15.1 then the area is 88.8.
If its not just look up trapezoid area and input the correct values for height, base a, and base b.
Step-by-step explanation: