Ian drove 192 miles with 6 gallons
How to calculate the number of miles ?The first step is to calculate the number of miles he drove with one gallon
224= 7
x=1
cross multiply
7x= 224
x= 224/7
x= 32
The number of miles he drove with 6 gallons can be calculated as follows
32= 1
y= 6
cross multiply
y= 32 × 6
= 192
Hence he drove 192 miles with 6 gallons
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Alfred delivers 10 to the power of 2 newspapers every week. How many does he deliver in 14 weeks?
Answer:
1400
Step-by-step explanation:
10² is 100 so 100*14 is 1400
A local donut shop charges $0.89 per donut, plus a one-time charge of $0.15 for the box, the service, etc. (a) write a function that expresses the amount charged as a function of the number of donuts bought. (b) use the function from (a) to determine the price of a box with a dozen donuts in it. (c) use the function from (a) to determine how many donuts would in a box that cost $6.38.
The answers are as follows -
(a) f(x) = 0.15 + 0.89x
(b) $ 10.83.
(c) 7 donuts
(a) Firstly, forming the function using given information. Let x be the number of donuts. Adding the one-time fee and cost per donut.
f(x) = 0.15 + 0.89x
(b) As per the known fact, 1 dozen = 12 quantities. Hence, there will be 12 donuts. Keeping the values in formula to find the price of box.
f(12) = 0.15 + 0.89 × 12
f(12) = 0.15 + 10.68
f(12) = 10.83
Thus, the price of box containing one dozen donuts is 10.83.
(c) Now, finding the value of x as per given cost.
6.38 = 0.15 + 0.89x
0.89x = 6.38 - 0.15
0.89x = 6.23
x = 6.23 ÷ 0.89
x = 7
Thus, a box costing $6.38 will contain 7 donuts.
Hence, (a) f(x) = 0.15 + 0.89x, (b) $ 10.83 and (c) 7 donuts.
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Need help with this equation: y(a - b) =c(y + a), solve for y
Answer:
[tex]y = \frac{ac}{a - b - c} [/tex]
Lisa's father has a large collection of ties. he has 16 ties and 6 of them are blue. if lisa's father chose a tie at random, what is the probability that the tie would be blue?
If Lisa's father randomly pick a tie among his 16 ties, the probability it will be a blue one is 3/8
Probability is a measure how likely an event will happen. The probability of an event A is defined as the number of event A divided by the number of all possible outcomes. Mathematically,
P(A) = n(A)/n(S)
Where:
n(A) = number of event A
n(S) = number of all possible outcomes or sample space.
In the given problem:
Number of all ties = 16
Number of blue ties = 6
Hence, when a tie is picked up randomly, the probability it will be a blue one is:
P(blue) = (number of blue ties) / (number of all ties)
P(blue) = 6/16 = 3/8
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Darcy is planting trees along a new city sidewalk. She plants the same number of trees on each city block. After 5 blocks, she has planted 25 trees. After 7 blocks, she has planted 35 trees. At what rate is Darcy planting trees?
35-25/7-5
10/2= 5
5 trees per hour
The stock market gained and lost value over the first four days of the week.
STOCK MARKET VALUE
Day
Change
Monday -18.75
Tuesday +10.45
Wednesday -34.75
Thursday -40.89
On which day did the stock market lose the most value?
Search
O Monday
O Wednesday
O Tuesday
O Thursday
Submit Answer
In Wednesday, the stock market had its biggest loss.
Over the course of a day, the stock market will fluctuate in value due to a number of factors. These include political news and economic data. Over the first four days of the week, this means that Monday through Thursday there is more volatility because these are typically the busiest trading days for stocks.
10.45 - (-18.75) = +29.2
-34.75 - (10.45) = -45.2
-40.89 - (-34.75) = -6.14
On Wednesday the stock value lost -45.2 of its value.
When the stock market loses value, it is usually because there are concerns about a company's future prospects. This can be due to changes in the business environment, new technologies that negatively impact the company's performance, or regulatory issues.
Hence, the stock market lost its most value on Wednesday .
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EBOB
FDGHFDHDHAFHSGFJSFHSHRHGHGSFD
Answer:
purple. (said with British ascent)
A nearby skating park charges $4 for skates and an hourly rate for each hour.
The sign on the right gives the prices for up to 3 hours of skating. Which linear
equation represents the given information where C is the total cost and h is the
number of hours spent in the park?
1 hour
2 hours
3 hours
$15
$30
$45
The linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
What is a linear function?Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.
A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. X is an independent variable, whereas Y is a dependent variable.
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
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How do I solve this question please explain
4n -3 ≥ 105
Answer:
x>=27
Step-by-step explanation:
You have to remove the -3 from the left side by adding 3 to both sides, 4x=108 then 108/4 to get x. x=27
Find each unit rate. Round answers to hundreds
3) $57 for 6 hours of work
The unit rate is $9.50 per hour
A unit means one of several things. A unit rate means a rate for one thing. We write it as a ratio with the denominator being one.For example, if you run 70 meters in 10 seconds, on average you have run 7 meters in 1 second. Both rates, 70 meters in 10 seconds and 7 meters in 1 second, are ratios, but 7 meters in 1 second are unit rates. The unitary method is a method in which you find the value of one unit and then the value of a required number of units.Suppose you go to the market to buy 6 apples. The trader tells you that he is selling 10 apples for Rs 100. In this case, the number of apples is the unit and the price of the apples is the value.
As the rate for 6 hrs. is $57,
the rate is 57/6=(3×19) / (3×2)
=19/2
=9.50
The unit rate is $9.50 per hour
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what is 7.2x10^-8 as normal number
Answer:
0.000000072
Step-by-step explanation:
Assuming you mean Regular Notation, that's your answer.
Answer:720,000,000
Step-by-step explanation:
1. Convert to decimal notation
More Icon
The exponent is 8, making it 10 to the power of 8. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 8 time(s):
7.2 -> 720,000,000
Record which place digit it is in the number below
Answer:
1: is in the million
6: is in the hundred thousand
7: is in the ten thousand
5: is in the thousand
8: is in the hundred
9: is in the ten
2:is in the one
The initial population of a small town was 2.53 thousand. The population grows at a rate of 2.15% each year. After how many years will the population have doubled?
The number of years that the population has doubled will be 33 years.
What is an exponent?Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A little town had a population of 2.53 thousand upon its founding. The population increases by 2.15% annually. Then the equation will be
y = 2.53(1.0215)ˣ
The number of years that the population has doubled will be
2 × 2.53 = 2.53(1.0215)ˣ
2 = (1.0215)ˣ
x ln1.0215 = ln2
x = 32.58 ≈ 33 years
The number of years that the population has doubled will be 33 years.
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what is 0.000 064 3 in standard form
Answer:
the answer is 6.43 × 10-5
pls help i will give 50 points if you give an explanation
Answer:
B
Step-by-step explanation:
HELP ASAP I DON'T UNDERSTAND
Answer:
option 3
Step-by-step explanation:
4x² - 100 = 0 ( add 100 to both sides )
4x² = 100 ( divide both sides by 4 )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
then
x = - 5 , x = 5
HELP FAST PLEASE!!!!!!!
Answer: The answer is triangle ABC ~ triangle EDC because m<3=m<4 and m<1=m<5.
Step-by-step explanation: The reason this would be is that both triangles are equilateral, so all the sides are the same.
Now that we know that the triangles are similar to each other, then we can eleminate the last two answers. The best possible answer would be triangle ABC ~ triangle EDC because m<3=m<4 and m<1=m<5.
Find the slope of the line that passes through (-6,10) and (7,-10)
Take the difference in y coordinates and divide that by the difference in the x coordinates. That's the slope, sometimes called the "rise over run" For a straight line or a linear function the slope is a constant
(6-10)(7,10) = 2/3 = slope
the line is
y-h = m(x-k) where m=2/3 and (k,h) = (10,10) or either point
to get y-10 = (2/3)(x-10)
3y -30 = 2x-20
2x-3y = -10
or use (k,h) as (7,8)
y-8 = (2/3)(x-7)
3y-24 = 2x-14
2x-3y = -10
or if you write it in y=mx + b form
it's y=(2/3)x + 10/3 where 10/3 is the y-intercept and 2/3 = slope
In this form, take the derivative of (2/3)x + 10/3
to get y' = 2/3, the derivative is the slope
points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and . and PQ = RS . If PS = 33 and PR 25, what is the value of QR?
There are 26 beads on Tanvi's necklace. 24 of the beads are pink and the rest are purple. What is the ratio of the number of purple beads to the total number of beads?
Answer:
12:1
Step-by-step explanation:
1 purple bead for every 12 pink beads
NEED THIS ASAP THIS IS DUE TONIGHT PLEASE HELP!!!!
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 4% of students brought their lunch. 44 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer:
1100. because the 4% and 44 are the same thing 4% goes into 100% 25 times then 44 times 25 is 1100
Samantha works in a department store selling clothing. she makes a guaranteed salary of $500 per week, but is paid a commision on top of her base salary equal to 25% of her total sales for the week. how much would samantha make in a week in which she made $650 in sales? how much would samantha make in a week if she made xx dollars in sales?
If Samantha works in a department store selling clothing and she makes a guaranteed salary of $500 per week but is paid a commission on top of her base salary equal to 25% of her total sales for the week, then Samantha would make $662.5 in a week in which she made $650 in sales and she would make 500 + 0.25 xx in a week in which she made xx dollars in sales.
The amount of money Samantha makes in a week can be given by an algebraic expression.
Amount of money Samantha makes in a week = Salary per week + 25% of her total sale
Amount of money Samantha makes in a week = 500 + 0.25 x
Here x is the sales Samantha made in a week
If she made $650 in sales in a week :
Amount of money Samantha makes in a week = 500 + 0.25(650)
Amount of money Samantha makes in a week = 500 + 162.5
Amount of money Samantha makes in a week = $662.5
If she made xx dollars in sales in a week :
Amount of money Samantha makes in a week = 500 + 0.25 x
Amount of money Samantha makes in a week = 500 + 0.25 xx
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Graph the coordinates J(-2,-0.5) K(0,2) L(-4,-2)
Graph the coordinates J(-2,-0.5) K(0,2) L(-4,-2) is attached.
Given that
Three points
J (-2,-0.5)K (0,2)L (-4,-2)To do
We have to show all that points in graph.So, according the question
We have
Three points J,K AND .L
For Showing that all points in graph, We have to follow some points
See the value of x and y of given pointFind out the point lie in which coordinate plane. Locate that point on coordinate plane.So, from question
J (-2,-0.5) = This point have the value of x is -2, and the value of y is -0.5. So that point lie in 3rd coordinate plane. That point showing in given graph.K(0,2) = This point have the value of x is 0, and the value of y is 2. So that point lie in 1st coordinate plane. That point showing in given graph.L(-4,-2) = This point have the value of x is -4, and the value of y is -2. So that point lie in 1st coordinate plane. That point showing in given graph.To learn more about coordinate plane please click on the link:https://brainly.com/question/14462788
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find d using the equation
The distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82
How to find the distance between two coordinates?We are given the two coordinate points as;
G(8, -2) and H(-1, 4)
The formula to find the distance between these two given coordinates is;
d = √[(x2 - x1)² + (y2 - y1)²]
Plugging in the relevant values gives;
d = √[(-1 - 8)² + (4 - (-2))²]
d = √(81 + 36)
d = √117
d = 10.82
Thus, the distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82
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Carpet sells for $4 per square foot and will cost you $616 to recarpet your rectangular room. if your room is 14 feet long, how many feet wide is it?
When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
Given,
The cost of Carpet per square foot = $4
Total cost of the carpet = $616
We know
Area of the rectangle = Length × Width
Length = 14 feet
Consider the width of the rectangular room as x
Then the area of the room = 14x
Total cost of carpet = Area of the rectangular room× Cost of carpet per foot
Substitute the values
14x×4=616
14x=154
x=11 feet
Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
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Ryan was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.
Whoever answers correctly will get Brainliest!!
Answer:
number of years worked, salary, salary, number of years worked, M(x)=4,000x+60,000, M(9)=96,000, switch your very last answer
Step-by-step explanation:
The dependant veriable depends on whatever the independent variable is.
Ryan was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company.
In this problem, the dependant variable is the salary, because his salary depends on the number of years he's worked.
If you think about it as if it's really happening, it'll make more sense--the longer you work at a job, the more raises you'll get over time.
To put this into an equation, we have to use slope-intercept form: y=mx+b
y is the same as M(x), m is your dependent variable, x is your independent variable, and b is the amount you start with.
Then we just plug the numbers in:
the dependant variable is 4000, independent is the years (which we don't need yet, so it stays as x) and the amount he will start with is 60000
M(x)=4,000x+60000
for M(9), you just plug 9 into x and solve
M(9)=4,000(9)+60000=96,000
Finally, 9 years after being hired, his salary will be 96000 (dollars? I don't know what answer goes here but what you put doesn't really fit)
I really hope I didn't explain that too badly or completely wrong because it's been a bit since I learned this so sorry, but fun fact, I remember doing this exact delta math, and I also remember hating it so good luck
:D
Aileen's bi-weekly gross pay is $799.80. She sees that $151.96 was deducted for taxes. What percent of Aileen's bi-weekly gross pay has been withheld for tax? Round to the nearest whole percent.
The Percent of Aileen's bi-weekly gross pay has been withheld for tax is 81 %.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
Aileen's bi-weekly gross pay = $799.80
Deducted for taxes=$151.96
According to given question we have
Percent of Aileen's bi-weekly gross pay has been withheld for tax
[tex]\frac{799.80-151.96 }{799.80} *100\\\\=81 %[/tex]
Therefore, the Percent of Aileen's bi-weekly gross pay has been withheld for tax is 81 %.
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Answer: 19%
Step-by-step explanation: Just took the test. 799.80 x .19= 151.96
Hope the quality is somewhat better geometry worksheet
Answer:
I already checked the question .I think it is correct
Write a numerical expression for the difference of six and two divided by four
Sara leaves home at 8:00 a.m. and drives at an average speed of 45 miles per hour. Her brother Pedro leaves home at 9:00 a.m. and drives along the same path at an average speed of 65 miles per hour. a. How many hours will Sara have driven when Pedro catches up with her? hours b. How far from home are they when Pedro catches up with Sara?
Using linear functions, we have that:
a. Sara will have driven 2.25 hours when Pedro catches up with her.
b. They are 146.25 miles from home when Pedro catches up with Sara.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.We have to consider the starting time as when Pedro leaves, when Sara will be at position 45 miles. Considering the velocities as the slope, the functions are:
S(t) = 45 + 45t. P(t) = 65t.Pedro will catch up with Sara when:
P(t) = S(t)
Hence:
65t = 45t + 45
20t = 45
t = 45/20
t = 2.25 hours.
Sara will have driven 2.25 hours when Pedro catches up with her.
The distance from home will be given by:
P(2.25) = S(2.25) = 65(2.25) = 45(2.25) + 45 = 146.25.
They are 146.25 miles from home when Pedro catches up with Sara.
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