Jessica is measuring two line segments. The first line segment is 30 cm long. The second line segment is 500 mm long. How long are the two line segments together? (answer in cm)
convert mm to cm
1mm = 0.1 cm
500 * 0.1 = 50cm
50 +30 = 80cm total length
Charlie's father is 41 years old. His age is two years more than three times Charlie's age. What is Charlie's age?
Final answer:
By setting up a linear equation, it is determined that Charlie is 13 years old based on the given information that his father is two years more than three times Charlie's age and is 41 years old.
Explanation:
The problem presented is a classic example of a linear equation in the subject of mathematics. We are given that Charlie's father is 41 years old, and his age is two years more than three times Charlie's age.
To determine Charlie's age, we can set up the equation as follows: Let x represent Charlie's age. The father's age is then described by the expression 3x + 2.
Since we know the father is 41 years old, we have:
3x + 2 = 41
Subtract 2 from both sides of the equation to isolate the terms with x:
3x = 39
Now, divide both sides by 3 to solve for x:
x = 39 / 3
x = 13
Therefore, Charlie is 13 years old.
Solve for x.
2/5≤x−4
How did you calculate the price of each nickel to begin with? Thanks
-4x<-12 choose the correct soultion
-4x < -12
divide both sides by -4
x > -12/-4
x > 3
note: when multiplying or dividing a negative inequality you flip the direction of it
Is the expression 3x+2x−4 in simplest form
3x+2x-4 is not in simplest form.
What is Expression?An Expression is Combination of variables, numbers and operators.
The given expression is three x plus two x minus 4
i.e 3x+2x-4
It is not in simplest form because we have to add like terms.
In the above expression we have two terms of same variable.
We have to add 3x and 2x which gives 5x.
So 5x-4 is the simplest form.
Hence 3x+2x-4 is not in simplest form.
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A carpenter has a 6-foot long board. He wants to cut the board into pieces that are 4/5 foot long. How many pieces of length 4/5 foot can the carpenter cut from the board? What length of the original board will be left after the carpenter has cut all the pieces that are 4/5 foot long?
Answer:
Number of pieces=7
Length of board remaining=[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
We are given that a carpenter has board of length=6 foot
Length of each piece of board=[tex]\frac{4}{5}[/tex] foot
We have to find the number pieces of given length of piece can be made from given board.
In order to find the number of pieces we will divide the total length of board by the length of each piece.
Therefore, number of pieces =[tex]\frac{6}{\frac{4}{5}}[/tex]
Number of pieces=[tex]7\frac{1}{2}[/tex]
Length of each piece =[tex]\frac{4}{5}[/tex]
Therefore, number of pieces=7
Length used in 7 pieces =[tex]7\times\frac{4}{5}=\frac{28}{5}[/tex]
Length of board remaining=[tex]6-\frac{28}{5}=\frac{2}{5}[/tex]
A bag contains 90 marbles some red and some transparent the ratio of red marbles to transparent ones is 1:4. how many red marbles are there? andwer
Leo has 421 prize tickets. He can get 1 prize for every 100 tickets. How many prizes can Leo get? How many tickets will he have left over?
421 / 100 = 4.21
so he will win 4 prizes and have 21 tickets left over.
Show that for the same shear angle, there are two rake angles that give the same cutting ratio.
9+(6-6)x4-(-7-(-2)) solved in order of operations
The solution of the given expression will be 14.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given expression as; 9+(6-6)x4-(-7-(-2))
We have to solved in order of operations
1. (6-6)=0
2. (-7+2)=-5
3. Now, substitute the values in the expression;
9 + 0×4 + 5 = 14
Therefore, the solution of the given expression will be 14.
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At a school, 126 students play at least one sport. This is 40% of the students at the school. How many students are at the school?
Brandon bought a gallon of paint that covers 160 square feet. He wants to paint a wall that is 10 ft. high and 12 ft. wide. Explain whether he will need more than one gallon of paint. A. No, he won't need more paint. Brandon has enough paint to cover the 22-square-foot wall. B. Yes, he will need more paint. Brandon needs another gallon to cover the 240-square-foot wall. C. No, he won't need more paint. Brandon has enough paint to cover the 120-square-foot wall. D. Yes, he will need more paint. Brandon needs enough paint to cover the 1,200-square-foot wall.
The soccer team voted on what they wanted to eat. There are 20 members on the team. Six members voted for pizza, 10 voted for chicken, and the rest voted for hot dogs. Which ratio represents the number of votes for hot dogs to chicken? 1/5 2/5 3/5 5/2
The answer is 2/5 because hot dogs to chicken is 2/5
There are 5 slots, each containing the letters w, r, l, d or o. one letter is picked at random from each slot. what are the odds that the letters stored in these slots read the word world?
The probability of the 5 letter slots randomly making the word 'world' is calculated by finding the product of the probability of choosing each letter correctly, which for this problem, is (1/3125).
Explanation:To calculate the probability of picking the letters 'w', 'o', 'r', 'l', 'd' in that order, we understand that we are dealing with a probability problem regarding independent events. This scenario means that the outcome of each selection does not affect the others.
Here, each slot contains 5 distinct letters. The probability of picking a specific letter correctly is 1/5 (1 way to pick a correct letter divided by 5 total letters). So, the probability of picking each letter correctly and in the order of 'world' is the product of the probabilities of choosing each letter correctly i.e P(choosing all five correct letters) = P(choosing 1st correctly) X P(choosing 2nd correctly) X P(choosing 3rd correctly) X P(choosing 4th correctly) X P(choosing 5th correctly) = (1/5) X (1/5) X (1/5) X (1/5) X (1/5) = (1/3125).
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You are building a new house on a cartesian plane whose units are measured in miles. Your house is to be located at the point (2,0) . Unfortunately, the existing gas line follows the curve y= √(16 x^2 +5x+16). It costs 400 dollars per mile to install new pipe connecting your house to the existing line. What is the least amount of money you could pay to get hooked up to the system?
chris has a bag of sweets. there are more than 20 sweets in the bag he shares his sweets equally between six people chris says, "the number of sweets in the packet was prime." is he correct? circle: yes or no, explain your answer below.
what is the solution?
Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. What was the amount of each of those checks?
235.24 + 45.58 = 280.82
280.82/2 = 140.41
each check was for $140.41
How to find the width of a rectangular prim
n when the length is 6 cm height is 8 cm and surface area is 208 cm²
Divide.
3 5/9 ÷ -2 2/3
Enter your answer as a mixed number, in simplified form, in the box.
On average, a sample of n = 16 scores from a population with s = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with s = 5.
a. True
b. False
suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or why not? Is there an angle in the triangle larger than 90 degree?
Emily bought a video game console and some games for $350. The video game console cost $200. Each game cost $25. How many games did Emily purchase?
mr chu is slicing 4 cantaloupes for his class . There are 24 students in the class. If he cuts the cantal to make an equal portion for each student how much of a whole cantal will each student get
△RST is mapped to △R′S′T′ using the rule (x, y)→(x, −y) followed by (x, y)→(3x, 3y) .
Which statement correctly describes the relationship between △RST and △R′S′T′ ?
△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.
△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a translation, which is a sequence of rigid motions.
△RST is congruent to △R′S′T′ because the rules represent a rotation followed by a translation, which is a sequence of rigid motions.
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
By the way, this question DOES NOT include a picture, so don't ask please.
Answer:
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
Step-by-step explanation:
If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?
The time at which the mailman delivers the mail to ace bike shop follows a normal distribution with mean 2:00 pm and standard deviation of 15 minutes.
There are three questions related to this problem.
First, the probability of the mail will arrive after 2:30 PM
Find the z-score of 2:30 which is 30 minutes after 2:00.
z(2:30) = (2:30 – 2:00)/15 = -30/15 = -2
P(x < 2:30) = P(z<-2) = 0.0228
Second, the probability of the mail will arrive at 1:36 PM
Find the z-score of 1:36 which is 24 minutes before 2:00.
z(1:36) = (1:36 – 2:00)/15 = -24/15 = -1.6
P(x < 1:36) = P(z<-1.6) = 0.0548
Lastly, the probability of the mail will arrive between 1:48 PM and 2:09 PM
Find the z-score of 1:46 and 2:09 PM which will result to a z value of 0.034599
P(1:48 < x < 2:09) = P(z<0.034599) = 0.5138
The width of a rectangle is equal to m cm, but its length is five times greater than the width. Find the area of the rectangle.
The area will be 5m^2
a girl scout has (5x-12) boxes of cookies and sells (3x+18) of them. Write an expression to represent the amount of boxes she has left. Also can you show me the work that gets this answer not just the answer