Write using algebra.
If Jim is x years old now, and his sister is twice as old, how old was his sister 7 years ago?
find a pair of 3 digit numbers that have an estimated difference of 520
How would you convert 3x- 2y = -6 into a y= mx+ b equation.
This square has the hypotenuse of a right triangle as one of its sides.
The estimated value of the length of the hypotenuse is units. The estimated value of the area of the square is square units.
(Hint: The hypotenuse is the side opposite the right angle. To find the hypotenuse of a right triangle, use the Pythagorean Theorem, c2= a2 + b2.)
The question is about using the Pythagorean Theorem to calculate the length of the hypotenuse of a right triangle. It also asks how to calculate the area of a square when the hypotenuse of the right triangle is one of its sides. The hypotenuse's length would be useful to determine the square's area, as the square's area is calculated as the square of the length of one side.
Explanation:The subject of this question is Mathematics, and it is appropriate for a High School level student. The question is discussing a scenario where a square has the hypotenuse of a right triangle as one of its sides, and the student is asked to estimate the value of the length of the hypotenuse and calculate the area of the square.
To solve this problem, we will use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (let's call it 'c') is equal to the sum of the squares of the lengths of the other two sides (let's call them 'a' and 'b'). In other words, c² = a² + b². The length of the hypotenuse is the square root of this sum, √(a² + b²).
Since we aren't given specific lengths for the sides of the triangle, I cannot provide exact values. However, let's say that the length of the hypotenuse is 'd', then the area of the square, which is calculated as the length of one side squared (d²) would be equal to the given value.
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Density practice
A gas tank hold 50L. If the density of gasoline is 0.7 g/ml how much mass will the tank of gas have
Use any model you choose to solve the story problem.
Anura found a can of paint that was full. She was able to paint 3 fence posts with the paint.
What fraction of the can of paint did Anura use on each fence post?
Each of the25 students in mr faces class sold 16 raffle tickets. If it each ticket cost $15 how much money did mr faces class raise
What is 3x+15-9=2(x+2) ?
A ball always bounces to 3/5 of the height from which it falls. It falls from a height of 1meter how high will it rise after the second bounce?
After the second bounce, the ball will rise to a height of 0.36 meter.
Explanation:To find the height the ball will rise after the second bounce, we can use the given information that the ball always bounces to 3/5 of the height from which it falls. In this case, the ball falls from a height of 1 meter.
For the first bounce, the ball rises to 3/5 of 1 meter, which is 0.6 meter. For the second bounce, the ball will rise to 3/5 of 0.6 meter. To calculate this, we multiply 3/5 by 0.6 meter, which gives us 0.36 meter.
Therefore, after the second bounce, the ball will rise to a height of 0.36 meter.
A store allows customers to fill their own bags of candy. Terri decides she only wants jelly beans and chocolate drops. Jelly beans sell for $0.90 per pound, and chocolate drops sell for $0.70 per pound. Terri’s bag weighs 5 pounds and it costs $4.10. How many pounds of jelly beans and chocolate drops did Terri buy?
A. 3 pounds of jelly beans; 2 pounds of chocolate drops
B. 2 pounds of jelly beans; 3 pounds of chocolate drops
C. 4 pounds of jelly beans; 1 pound of chocolate drops
D. 1 pound of jelly beans; 4 pounds of chocolate drops
I think it might be c
The ticket price for the ice hockey match was £14.50. The price has increased by 7%.
How much is a ticket after the increase?
7% = 0.07
14.50 *1.07 = 15.52 new price
Jacob is ordering custom T-shirts for his soccer team. Long-sleeved shirts cost $15 each and short-sleeved shirts cost $10 each. Jacob can spend at most $250 and he wants to order at least 20 shirts.
Let x represent the number of long-sleeved shirts. Let y represent the number of short-sleeved shirts. Which inequalities are among the constraints for this situation?
Select each correct answer.
x+y≤250
15x+10y≥250
x+y≥20
15x+10y≤250
15x+10y≥20
x+y≤20
A chess set is on sale for $75.00, which is 40% off of its original price. What was the original price of the chess set?
Cheryl can travel 21.6 miles on one gallon of gas.
How far can Cheryl travel on 6.2 gallons of gas?
Your answer would be, 133.92 my good friend!
Using distributive property solve 4x39=n
The cost to make a coffee table is x dollars. The store sells the table for 60% more than how much it costs to make. What expression shows the selling price of the coffee table?
4a^-9
I don't know what this is
can I get some help
Use this figure to find the value of ∠FOD
after school in friday,Lamar Walked to the corner Store and bought 2 candy bars for $0.97 each and a soda for $1.41.what was his total purchase
How many books does Matt have to sell to make $30 for the week?
Matt needs to sell approximately 28 books to make $30 for the week.
To find the number of books Matt needs to sell to make $30 for the week, we need to use the given information that Matt gets $6 for selling 9 books and $9 for selling 11 books.
Let's first find the amount of money Matt makes for each book:
For 9 books, Matt makes $6, so he makes $\frac{6}{9} = \frac{2}{3}$ dollars per book.
For 11 books, Matt makes $9, so he makes $\frac{9}{11}$ dollars per book.
Now, we can set up an equation to find the number of books Matt needs to sell to make $30:
2/3 x + 9/11 x=30
where (x) is the number of books Matt needs to sell.
Simplifying the equation, we get:
x = 28
Therefore, Matt needs to sell approximately 28 books to make $30 for the week. Since he cannot sell a fraction of a book, he would need to sell either 28 or 29 books to make $30.
You put $800 in a savings account at 4% annual interest and leave it there for five years. What is the principle?_____
Muthu reads 20 pages of a book in a day. After 6 days, 2/5 of the book is still unread. How many pages are there in this book?
Lisa has a certain amount of money. She spent 39 dollars and has 3/4 of the original amount left. How do you write this equation?
How can area models be used to solve multiplication problems
Find two integers whoes sum is -7 and whose product is 12. Explain how you found the numbers.
Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below. x + 4y = 25.50 3x + 2y = 24.00 What is the price of a protein shake? $3.75 $4.50 $4.95 $5.25
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
[tex]x+4y=25.50------------------(1)\\\\3x+2y=24.00-----------------------(2)[/tex]
Here, x is the number of strawberry smoothies.
and y is the number of protein shakes.
So, using elimination method, we get that,
Multiplying 2 by eq(2), we get that
6x+4y=48---------------(3)
From eq(1) and (3), we have
[tex]x+4y=25.50\\\\6x+4y=48\\\\-----------------------------------\\\\-5x=-22.5\\\\x=\dfrac{22.5}{5}\\\\x=4.5[/tex]
Put the value of x in eq(1), we get that
[tex]4.50+4y=25.50\\\\4y=25.50-4.50\\\\4y=21\\\\y=\dfrac{21}{4}\\\\y=5.25[/tex]
Hence, the price of protein shake is $5.25.
Thus, Fourth option is correct.
Answer:
D. $5.25.........................
Pat has nine cards. Frank has two more cards than Steve. Steve has 3 cards how many more cards does Pat have than Frank?
Based on the information given, Pat has 4 more cards than Frank.
The number of cards that Pat has = 9 cards
Number of cards that Steve has = 3 cards
Since Frank has two more cards than Steve, the total number of cards that Frank has will be: = 3 + 2 = 5
In order to know the number of cards that Pat has more than Frank, we will have to calculate the difference between the cards that they've. This will be:
= Pat's card - Frank's card
= 9 - 5
= 4
Therefore, Pat has 4 more cards than Frank.
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The table below show 2 equations. Equation 1: 3x-1=7+2 Equation 2: 2x+1+4=3 which statement is true about the solution to the two equation?
The answer is d
i hope this helps
Patti is using mental math to evaluate the expression (70+12.8+30)+6.1. She recognizes that the expression will be easier to simplify if she can combined 70 and 30 before she works with other numbers. How do the properties of operation allow pattie to take that approach?
Answer: Explanation is given below.
Step-by-step explanation: Given that Patti is using mental mathematics to evaluate the expression (70+12.8+30)+6.1 and recognises that it will be easier to simplify if she can combined 70 and 30 in the beginning. We are to explain the way in which the properties of operation allow Patti to take that approach.
We will be using the following associative property of real numbers:
[tex](a+b+c)+d=(a+c)+(b+d).[/tex]
Therefore, the simplification is as follows:
[tex](70+12.8+30)+6.1\\\\=(70+30)+(12.8+6.1)\\\\=100+18.9\\\\=118.9.[/tex]
Hence explained.
Answer:
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1
( D )
what is 95 divided by 5?