Answer:
x=12, y=14
Step-by-step explanation:
[tex]2x - y = 10[/tex]
Solve the equation for y. Subtract 2x from both sides
[tex]- y = -2x+10[/tex]
Divide both sides by -1
[tex]y=2x-10[/tex]
Substitute 2x-10 for y in the second equation
[tex]3x - 2(2x-10)= 8[/tex]
[tex]3x - 4x+20= 8[/tex]
[tex]-1x+20= 8[/tex]
Subtract 20 from both sides
[tex]-1x= -12[/tex]
Divide both sides by -1
x= 12
[tex]y=2x-10[/tex]
Substitute 12 for x
[tex]y=2(12)-10=14[/tex]
y=14
Chelsea has a beginning balance of $715 in her checking account. She writes two checks for $320 and $640. She has a deposit of $400 and an overdraft fee of $29. What is her new balance?
$126
$2104
$1094
$184
What's the answer ??? Someone please help me
A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from the basket at random.
what is the exact probability that she picks an egg?
Answer: 29/40 (PLATO)
Have a good day!
What is 5 3/20 as a decimal?
A ruler is 12 inches long.what is the length of this ruler in centimeters
The public library has fewer than 4,000 books.
Let b represent the number of books in the library.
Which inequality describes the number of books?
b < 4,000
b > 4,000
b ≤ 4,000
b ≥ 4,000
Answer: The correct option is (A) b < 4000.
Step-by-step explanation: Given that the public library has fewer than 4,000 books.
We are to select the inequality that describes the number of books in the library.
The number of books in the library is represented by b.
According to the given information, the inequality hat describes the number of books in the library is given by
[tex]b<4000.[/tex]
Thus, (A) is the correct option.
why do bees have sticky hair
Answer:
From the honey, and pollen
Step-by-step explanation:
in the drawing six out of every 10 tickets are winning tickets of the winning tickets one out of every three awards is a larger prize what is the probability that a ticket is randomly chosen will award a larger prize
The probability that a randomly chosen ticket will award a larger prize is calculated by multiplying the probability of getting a winning ticket with the probability that the winning ticket is for a larger prize, which results in a 20% chance.
Explanation:The question is seeking to determine the probability that a ticket chosen at random from a raffle will award a larger prize. We are given that 6 out of every 10 tickets are winning tickets, and of those winning tickets, 1 in every 3 is for a larger prize. To find this probability, we need to multiply the probability of a ticket being a winner by the probability of the winning ticket awarding a larger prize:
Probability of a winning ticket = 6/10 or 0.6Probability of a larger prize if it's a winning ticket = 1/3 or approximately 0.333Now, we multiply these probabilities:
Probability of a larger prize = Probability of winning ticket × Probability of a larger prize given a winning ticket
Probability of a larger prize = 0.6 × 0.333
Probability of a larger prize = 0.2 or 20%
Answer: B or 1/5
Step-by-step explanation:
Which power has a value of 1?
Choose all the correct answers.
1^4
2^3
3^2
4^1
5^0
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line?
if you were to place $2,500 in a savings account that pays 5% interest compounded continuously, how much money will you have after 10 years? assume you make no other deposits or withdrawals.
in which area of the brain does mathematical processing occur?
Mathematical processing involves various cognitive processes and can engage multiple areas of the brain. However, certain brain regions are commonly associated with mathematical processing such as Parietal Cortex
In which area of the brain does mathematical processing occur?Parietal Cortex: The parietal cortex, specifically the intraparietal sulcus, plays a crucial role in numerical processing, spatial processing, and quantity representation.
Frontal Cortex: The frontal cortex, particularly the dorsolateral prefrontal cortex, is involved in problem-solving, logical reasoning, and working memory, which are essential for mathematical processing.
Angular Gyrus: The angular gyrus, located in the parietal lobe, is involved in mathematical thinking, number processing, and mathematical reasoning.
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On simplifying (-3y2 − 8) − (-5y2 + 1), we get y2 − .
There are $3.90 worth of nickles and quarters in a piggy bank. There are 6 more quarters than nickels.
How many of each coin are in the piggy bank?
Enter your answers in the boxes.
_____ nickels and ____ quarters
For this case, the first thing we must do is define variables.
We have then:
x: number of nickles
y: number of quarters
We now write the system of equations.
We have then:
[tex] 0.05x + 0.25y = 3.90
y = x + 6
[/tex]
Solving the system of equations graphically we have:
[tex] x = 8
y = 14
[/tex]
Answer:
8 nickels and 14 quarters
Note: see attached image for the graphic solution.
Answer: There are 8 nickels and 14 quarters.
Explanation:
Since we have given that
there are $3.90 worth of nickles and quarters in a piggy bank.
Let the number of nickles be x
Let the number of quarters be x+6
As we know that
[tex]1\ nickle=0.05\ dollars\\\\and\\\\\ 1\ quarter=0.25\ dollars[/tex]
According to question,
[tex]0.05x+0.25(x+6)=3.90\\\\0.05x+0.25x+1.5=3.90\\\\0.3x=3.90-1.5\\\\0.3x=2.4\\\\x=\frac{2.4}{0.3}=8\\\\and \\\\x+6=8+6=14[/tex]
Hence, there are 8 nickels and 14 quarters.
(This is my little sister's homework, she needs help!)
Katrina is 69.75 inches tall. Her best friend, Allison, is 64.85 inches in height. How many inches taller is Katrina than Allison?
A) 4.10
B) 4.90
C) 5.10
D) 5.90
Answer: B) 4.90
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Katrina: 69.75 inches tall Allison: 64.85 inches tall.Since Katrina is taller than Allison, to calculate the how many inches taller is Katrina than Allison, we have to subtract Allison’s height to Katrina’s height:
Mathematically speaking:
69.75 -64.85 = 4.9 inches.
integrate (sqrt((x-1)/x^5)) using substitution (no trig substitution) ...?
Solve for B.
R = x(A + B)
a. B = (R - A)/x
b. B = (A - Rx)/x
c. B = (R - Ax)/x ...?
Which of the following best describes the dependent variable?
Answer The variable that responds to change.
The variable that is deliberately changed.
The variable kept constant.
The treatment in an investigation.
Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.
What is an equivalent equation solved for h?
h = (– b)÷ r
h = – b ÷ r
h = ÷ r – b
h = ÷ r
Answer:
a
Step-by-step explanation:
Final answer:
The equivalent equation solved for h is h = -b/r. To derive this equation, we can isolate h in the given equation p = 0.7(rh + b) by multiplying both sides by the reciprocal of 0.7, distributing, and simplifying, option n 2 is correct.
Explanation:
The equivalent equation solved for h is h = −b ÷ r.
To derive this equation, we need to isolate h in the given equation p = 0.7(rh + b). We can start by multiplying both sides of the equation by the reciprocal of 0.7, which is 1.4286 (approximately).
Then, we can distribute the 1.4286 to the terms inside the parentheses to get p = 1.4286rh + 1.4286b. Next, we can subtract 1.4286b from both sides of the equation to isolate the 1.4286rh term.
Finally, we can divide both sides of the equation by 1.4286r to solve for h, which gives us the equivalent equation h = −b ÷ r.
Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute of competition, Joey has eaten 10 hot dogs. Joey wants to know the number of hot dogs per minute that he needs to eat for the next 9 minutes to break his own record.
Joey Chestnut needs to eat more than 6.89 hot dogs per minute for the next 9 minutes to break his record of 72 hot dogs.
Explanation:To find the number of hot dogs per minute Joey Chestnut needs to eat in the remaining 9 minutes to break his record, we need to start by calculating how many more hot dogs he needs to surpass 72 hot dogs. Since he has already eaten 10 hot dogs in the first minute, he needs to eat more than 62 hot dogs in the next 9 minutes to break the record.
We calculate the average number of hot dogs per minute by dividing the remaining number of hot dogs by the number of minutes left. So,
Number of hot dogs needed > 72 hot dogs - 10 hot dogs = 62 hot dogsMinutes remaining = 9 minutesHot dogs per minute needed = Number of hot dogs needed / Minutes remainingHot dogs per minute needed > 62 hot dogs / 9 minutes ≈ 6.89 hot dogs per minuteTo break his record, Joey Chestnut needs to eat more than 6.89 hot dogs per minute for the next 9 minutes.
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Joey needs to eat:
[tex]\[\boxed{7}\][/tex]
hot dogs per minute for the next 9 minutes to break his record.
Joey Chestnut wants to break his record of eating more than 72 hot dogs in 10 minutes. After the first minute, he has already eaten 10 hot dogs. We need to find out how many hot dogs per minute he needs to eat for the remaining 9 minutes to break his record.
First, determine the number of hot dogs Joey needs to eat in total to break the record:
[tex]\[72 + 1 = 73 \text{ hot dogs}\][/tex]
Next, calculate the number of hot dogs he still needs to eat after the first minute:
[tex]\[73 - 10 = 63 \text{ hot dogs}\][/tex]
Since he has 9 minutes remaining, we need to find the number of hot dogs per minute he needs to eat:
[tex]\[\frac{63 \text{ hot dogs}}{9 \text{ minutes}} = 7 \text{ hot dogs per minute}\][/tex]
Therefore, Joey needs to eat:
[tex]\[\boxed{7}\][/tex]
hot dogs per minute for the next 9 minutes to break his record.
You roll 2 dice. You can use a tree diagram to calculate the probability that the sum of the dice is an even number. true or false? ...?
Describe how the graph of y=log (10 000x) is related to the graph of y=log x
graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given graphs of y=log (10 000x)
y equal to ten thousand of x
We know a property of log.
logab=loga+logb
Log ab equal to log a plus log b.
So log (10 000x) =log 10000+log x
=4+logx
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
So the graph of log (10 000x) is transposed by 4 units.
Hence graph of y=log (10 000x) is related to the graph of y=log x is transposed by 4 units.
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Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of the kite from the ground is...
A.20.27 B.61 C.77.27
Answer:
C.77.27
Step-by-step explanation:
For plato users this is correct
On a certain day the temperature in new york city was -4c and the temperature in austin was 10c. how many degrees lower was the temperature in new york city.
Answer:
14 degress below
Step-by-step explanation:
What is the value of y in the equation 6.4x 2.8y = 44.4, when x = 3? user: what is the value of x in the equation x ��� y = 30, when y = 15? 4 8 80 200
what are the 12 numbers of pi
If x > 1, then which of the following has the LEAST value?
If x > 1, then the expression (0.25 - x) will have the least value when x is equal to 1.
Explanation:If x > 1, then the expression (0.25 - x) will be negative. When comparing negative values, the one with the least absolute value will have the least value. Therefore, to find the expression with the least value, we want to find the largest negative value for (0.25 - x). Since x > 1, the largest negative value for (0.25 - x) would occur when x is closest to its minimum value, which is 1. Therefore, the expression (0.25 - x) will have the least value when x is equal to 1.
Sales tax on an item is directly proportional to the cost of the item purchased if the tax on a $600 item is $36 what is the sales tax on a $950 item?
The sales tax on the item costs $950 is $57.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the cost of the item purchased if the tax on a $600 item is $36.
Now, rate of sales tax =36/600 ×100
= 6%
The sales tax on a $950 item is
6% of 950
= 0.06×950
= $57
Hence, the sales tax on the item costs $950 is $57.
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Evaluate |a + b - c|, given a = 5, b = -3, and c = -2.
-4
4
10
0
in a certain class, the ration of passing grades to failing grades is 9 to 3. If 17 grades were failing, how many passing grades were there?
Final answer:
The ratio of passing to failing grades in the class is 3 to 1. With 17 failing grades, we can determine there were 51 passing grades by setting up a proportion and solving for the number of passing grades.
Explanation:
The question relates to the ratio of passing grades to failing grades and asks us to find the number of passing grades if there are 17 failing grades. The ratio given is 9 to 3, which simplifies to 3 to 1 (since both 9 and 3 are divisible by 3). This means for every 3 passing grades, there is 1 failing grade.
Since there are 17 failing grades and the ratio of failing to passing is 1 to 3, we can set up a proportion to find the number of passing grades (p):
1/3 = 17/p
Multiplying both sides by p and then by 3 gives us:
3 × 17 = 1 × p
51 = p
Therefore, there were 51 passing grades.