Charles drove three times as far as Emily. Altogether they drove 112 miles. What was the number of miles driven by Charles?
Answers
Answer: Charles drove 84 miles
Step-by-step explanation:
(c)harles = 3 x (e)mily
e + c = 112
Since Charles is 3x Emily, we can plug in 3e instead of c
e + 3e = 112
4e = 112
e = 112/4
e = 28
Emily drove 28 miles, and Charles drove 3x that, so Charles drove
28 x 3 = 84
Related Questions
Which is independent and dependent
Answers
Answer:
The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. ... The dependent variable is the effect. Its value depends on changes in the independent variable.
Step-by-step explanation:
The odds in favor of an event are given. Compute the probability of the event. (Enter the probability as a fraction.)
4 to 7
Answers
The probability of the event for the given odds in favor (4 to 7) is found as 4/11.
How do you calculate the probability?The inquiry provides the unusual parameters shown below: Odd = 4 to 7First, we must translate the odd into a ratio.Thus, we have the depiction shown below: odds of 4 to 7To continue solving, we must represent the ratio as a fraction.
Thus, we have the depiction shown below.
Odds ratio equals 4/7
We use the following equation to translate the aforementioned odd's expression into a probability expression.
This is displayed as
P = (Odds + 1)/(Odds).
Replace the unknown values in the equation above.
The following equation is what we have.
P = (4/7)/(4/7 + 1)
Analyze the amount
This results
P = (4/7)/(11/7)
Put the quotient in product form.
P = (4/7) * (7/11)
Evaluate
P = 4/11
Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.
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ALGEBRA please put a very small explanation to the awnser
Answers
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Need the correct answers for this. Can you help me?
Answers
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
To determine the correctness of the statements and calculate the lengths and slopes of the given quadrilateral PQRS, let's perform a coordinate proof.
Length and slope of PQ:
The coordinates of points P and Q are P(0, 2) and Q(3, -4), respectively.
Length of PQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of PQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of PQ is approximately 3√5, and its slope is -2.
Length and slope of SR:
The coordinates of points S and R are S(-2, 1) and R(1, -5), respectively.
Length of SR: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-2))² + (-5 - 1)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of SR: (y₂ - y₁) / (x₂ - x₁)
= (-5 - 1) / (1 - (-2))
= -6 / 3
= -2
Therefore, the length of SR is approximately 3√5, and its slope is -2.
Length and slope of SP:
The coordinates of points S and P are S(-2, 1) and P(0, 2), respectively.
Length of SP: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(0 - (-2))² + (2 - 1)²]
= √[4 + 1]
= √5
Slope of SP: (y₂ - y₁) / (x₂ - x₁)
= (2 - 1) / (0 - (-2))
= 1 / 2
Therefore, the length of SP is √5, and its slope is 1/2.
Length and slope of HQ:
The coordinates of points H and Q are H(0, 2) and Q(3, -4), respectively.
Length of HQ: √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(3 - 0)² + (-4 - 2)²]
= √[9 + 36]
= √45
= 3√5 (approx.)
Slope of HQ: (y₂ - y₁) / (x₂ - x₁)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
Therefore, the length of HQ is approximately 3√5, and its slope is -2.
Based on the calculations, we can conclude that both statements are correct:
The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.
The quadrilateral PQRS is not a rectangle since the lengths of the adjacent sides PQ and SP are not equal.
Summary:
Length of PQ is approximately 3√5, and its slope is -2.
Length of SR is approximately 3√5, and its slope is -2.
Length of SP is √5, and its slope is 1/2.
Length of HQ is approximately 3√5, and its slope is -2.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
need help here is screenshot fast pls
Answers
The equation that models the zombie population is the one in option D.
\(y = 50*(2)^{x/4}\)
Which equation describes the zombie population?We know that the zombie population will be described by an exponential equation, these are of the form:
\(y = A*(b)^{kx}\)
Where A is the initial population, in this case we know that:
A = 50
b is the rate of growth, we know that the population is doubled every 4 days, so:
b = 2
And k is a factor that is defined by in how many days the population is doubled, here we know that the population is doubled every 4 days, then k = 1/4
And the population equation is.
\(y = 50*(2)^{x/4}\)
So the correct option is D.
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least common denominator of 1/6 and 5/9
Answers
Answer: To find the least common denominator (LCD) of two fractions, we need to find the least common multiple (LCM) of the denominators.
In this case, the fractions are:
1/6 and 5/9
The denominators are 6 and 9.
The least common multiple (LCM) of 6 and 9 is 18.
So, the least common denominator (LCD) of 1/6 and 5/9 is 18
We can write both fractions with 18 as denominator:
1/6 = 3/18
5/9 = 10/18
So, the least common denominator of 1/6 and 5/9 is 18.
Step-by-step explanation:
One cell phone company offers a plan that costs $29.99 and includes unlimited night and weekend
minutes. Another company offers a plan that costs $12.99 and charges $0.35 per minute during nights
and weekends. For what numbers of night and weekend minutes does the second company's plan cost
more than the first company's plan?
Answers
Answer: 49.
It's 49 minutes
Step-by-step explanation:
I don't feel like explaining. It's 49 minutes.
An economist wants to estimate the proportion of the US population who commutes to work.
A sample of 500 adults were surveyed and it was found that 362 people commute to work.
a.
Find the proportion of people who commute to work, p (round your answer to 3 decimal
places.)
b. Construct a 95% confidence interval for the proportion of people who commute to work.
(round your answers to 3 decimal places)
Answers
A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
Who is economist?
An economist is an expert who studies the relationship between society's resources and their production or output. Economists study societies ranging from small communities to whole nations to the global economy.
Economists expert opinions and research inform the design of a variety of policies, including interest rates, tax laws, employment programs, international trade agreements and corporate strategy.
The work of economists is incredibly diverse. Conduct surveys and collect data. Analyze data using mathematical models, statistical methods, and software. Present your research results in reports, tables, and graphs. Interpreting and forecasting market trends. Advises businesses, governments and individuals on economic matters. Proposing solutions to economic problems. Write articles for scientific journals and other media.
A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
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How many pounds of coffee worth $7 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $5 a pound
Answers
x = lbs. of coffee at $7 per lb.
Now let's write an equation to express the cost of mixing the $7 per lb. coffee with the $4 per lb. coffee based upon how many pounds we have of each:
(7)(x) + (4)(10) = (5)(x + 10)
Solving our equation for x:
7x + 40 = 5x + 50
7x - 5x = 50 - 40
2x = 10
x = 5 (lbs. of coffee at $7 per lb.)
We can verify our answer by plugging our answer back into our equation and checking to see that both sides balance:
(7)(x) + (4)(10) = 5(x + 10)
(7)(5) + 40 = 5(5 + 10)
35 + 40 = 25 + 50
75 = 75 (both sides balance)
Since both sides balance, we are confident that our answer is correct.
Hope this helps !
easy way to divide when using decimals
Answers
Which shapes are similar but not congruent to shape 1
Answers
There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.
There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.
One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.
A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.
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Please help!!
One thousand people stood in a very large circle. Each person wore a sign on their back
with a numeral from 1 to 1000, in a clockwise sequence. They began counting off. The
first person, person A, said "one-in," and remained in the circle. Person B, the person to
the left of A, said "two-out," and left the circle. The person to the left of B, person C, said
"three-in," and remained in the circle. The person to the left, person D, said "four-out,"
and stepped out of the circle.
So it continued with each person wearing an odd number saying "in," and remaining in
the circle, and with every person wearing an even numeral leaving the circle.
It was easy to visualize who remained in the circle when the count off made it all the way
around back to the first person. Since the last person said "one thousand-out," person A,
the first person, said "one-in," and stayed in, while person C, now the next person, said
"three-out," and left the circle. This process would keep going on and on until only one
person was left in the circle.
Who was the last person standing?
Answers
The person who gets to say the last number, 1000, will be Person 6.
Here, we have,
In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.
When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.
Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.
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complete question:
10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number
What is the value of x?
URGENT
Answers
Answer:
14
Step-by-step explanation:
angle 90° is opposite the side x. angle 45° is opposite side 7√2.
x/sin 90 = (7√2)/sin 45
multiply both sides by sin 90 (sin 90 is = 1).
x = (7√2)/sin 45
= 14
awnser this for 5 points do you use this app.bc ur lazy and don't want to think
Answers
Answer:
No but when I don't understand something it helps
Step-by-step explanation:
and I'm not lazy either
A box containing 15 DVDs is selling for $156.00. The box contains some
DVDs worth $11.00 each and some DVDs worth $9.00 each. Which system of
equations can be used to determine x, the number of $11.00 DVDs, and y, the
number of $9.00 DVDs?
Answers
Answer:
Step-by-step explanation:
x + y = 15
11x + 9y = 156
Write the expression 7-3x+6+5x as an equivalent expression
Answers
I believe this is the answer you seek. :D
\(2x+y+6\)
Hope this helps!
Lisa is saving $50 that she received from her grandmother. She earns $6 each time she walks her neighbor's dog, which she also saves. Which function can be used to find f, the amount of money Lisa will have saved after walking the neighbor's dog d times?
Answers
Let
f ------> the amount of money Lisa will have saved
d -----> number of times that she walking the neighbor's dog
so
Remember that
The linear equation in slope intercet form is equal to
f=md+b
where
m is the unit rate or slope
b is the y-intercept or initial value
in this problem we have
m=6
b=50
therefore
substitute
f=6d+50
answer is last one option
A youth organization collected nickels and dimes for a charity drive. By the end of the 1-day drive, the youth had collected $42.35. If there were three times as many dimes as nickels, how many of each type of coin was collected?
Answers
We have the following:
\(0.05\cdot n+$0.10\cdot d=$42.35\)now, d = 3*n, therefore:
\(\begin{gathered} 0.05\cdot n+$0.10\cdot(3n)=$42.35 \\ 0.05n+0.3n=42.35 \\ n=\frac{42.35}{0.35} \\ n=121 \end{gathered}\)therefore:
\(\begin{gathered} d=3\cdot121 \\ d=363 \end{gathered}\)The answer is 121 nickels and 363 dimes
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answers
Answer: 68y+106=36-y
Tom takes a cancer test and the test is advertised as being 99% accurate: if you have cancer you will test positive 99% of the time, and if you don't have cancer, you will test negative 99% of the time. If 1% of all people have cancer and Tom tests positive, what is the prob that Tom has the disease
Answers
Answer:
99% chance tommy has it
Step-by-step explanation:
cuz do da math
A normally distributed data set has a mean of 0 and a standard deviation of 0.5. Which is closest to the percent of values between –1 and 1?
34%
50%
68%
95%
Answers
As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.
Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.
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Anna charges $ 11.50 to babysit per hour . If Anna babysits for 3 hours , she will charge $
Answers
Answer:
34.5
Step-by-step explanation:
11.50*3 = 34.5
11.50 times 3= the amount of $ she will get in 3 hours of babysitting
answer= $34.50
One dealer is selling the Nissan Leaf Hatchback for $25,600.00. Their finance company is offering a 72-month amortized loan at a rate of 1.75%. Assume a down payment of 17%
What will the monthly payment be?
How much will the car cost, in total?
How much money will be paid in interest?
If you agreed to make payments once every 2 weeks, what would your payments be?
Answers
Answer: the answer is D i just did that
Step-by-step explanation:
A father wants to buy a total of five milk drinks for his son and spend $7.95. Eggnog costs $1.55 and a peanut punch costs $1.65. Determine the number of each milk drink bought
Answers
Answer:
2
Step-by-step explanation:
$ 1.55 + $1.65 = $3.11
the budget is $7.95
$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2
Dawn bought 3 video games and 9 DVDs for $75. Jerry bought
5 video games and 10 DVDs for $25 more than Dawn. How
much did each DVD cost?
Answers
Answer:
$5
Step-by-step explanation:
We can solve this using a system of linear equations. The equations are written like this:
3v + 9d = 75
5v + 10d = 100 (25 more than Dawn's total is 100)
V represents video games and d represents DVDs.
Let's isolate a variable, I'm going to isolate v in the first equation:
3v = -9d + 75
v = -3d + 25
Now that we isolated v we can plug it in to the second equation:
5(-3d + 25) + 10d = 100
-15d + 125 + 10d = 100
-5d + 125 = 100
-5d = -25
d = 5
Therefore, each DVD cost $5.
Check:
3v + 9(5) = 75
3v + 45 = 75
3v = 30
v = 10
5(10) + 10(5) = 100
50 + 50 = 100
100 = 100
I hope this helps!!
- Kay :)
g(x)=|x+2|+8 whats the vertex?
Answers
In a classroom, 100 plastic fish are in a tub. The tub is hidden from the student view. Some fish are green, and the rest are yellow. The students know that there are 100 fish, but they don’t know how many of each color there are. The students go fishing, each time, picking a random fish from the tub, recording its color, and throwing the fish back in the tub. At the end of the day, 65 fish have been chosen, 12, green and 53 yellow. What is the best estimate you can give for the number of green fish in the number of yellow fish in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
Answers
The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.
What is the estimated number of fish of each color?This can be calculated using a rule of three as follows. Let's start with the yellow fish:
53 = 65
x = 100
53 x 100 / 65 = 82 yellow fish
Green fish:
12 = 65
x = 100
12 x 100 / 65= 18 green fish
Is this estimate accurate?This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.
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g A CD player with an original price of $380.00 is on sale at 35% off. What is the discount amount and the CD player sale price?
Answers
Answer:
Cost: $247
Discount: $133
Step-by-step explanation:
Simply multiply 380 and 35% off together to get your answer:
380(1 - 0.35)
380(0.65)
247
To find the discount amount, simply subtract the 2 numbers to get your answer:
380 - 247 = 133
Person 1, person 2, and person 3 paid a total of $120 for lunch. They split the money respectively using the ratio 1:2:3. How much more did person 3 pay than person 2?
Answers
Person 3's payment exceeded person 2's payment by $20.
To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.
The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.
Step 1: Calculate the total number of parts in the ratio.
1 + 2 + 3 = 6
Step 2: Determine the value of one part.
$120 (total amount) divided by 6 (total number of parts) = $20
Step 3: Calculate the payments for each person based on the ratio.
Person 1: 1 part * $20 = $20
Person 2: 2 parts * $20 = $40
Person 3: 3 parts * $20 = $60
Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:
$60 - $40 = $20
Hence, person 3 paid $20 more than person 2.
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