Write the fraction 8/9=as an equivalent fraction with the given denominator 18
The equivalent fraction of 8/9 with the denominator 18 is 16/18.
Explanation:To write the fraction 8/9 as an equivalent fraction with the given denominator 18, we have to find a number that we multiply by 9 (the original denominator) to get 18. This number, in this case, is 2. What we do to the bottom of a fraction, we should also do to the top, therefore we would also multiply the numerator (8) by the same number (2). So, the equivalent fraction is 8 * 2 / 9 * 2 = 16 / 18.
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Evaluate the expression: a(b – c) if a = -8, b = 12, and c = 4
what is the answer to this: find three whole numbers, such that when inserted into the equation below, the value of x=6,
ax+b=c
HELP I SUCK SO BAD AT MATH ITS DUE TOMORROW!!!!!
It's # 11,12,13,14,17, and 18
Thanks
Find the product 3×40=3×________tens
The product of the numbers will be 120. And the product 3 × 40 = 3 × 4 tens.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
According to the commutative property of integer multiplication, changing the order of something like the operands or the integers has no impact on the outcome of the multiplication.
a x b = b x a
Similarly, the product of the numbers 3 and 40 can be written as,
3 × 40 = 3 × 4 tens
The product of the numbers will be
3 × 40 = 120
The product of the numbers will be 120.
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what is the area of 7 1/4 x 11 2/3
Explain the process for finding the product of two integers
Jill’s room is 12.5 feet long and 11.5 feet wide. She made a scale drawing of the top with a scal 0.5 inch= 2 feet. What is the perimeter of Jill’s room in the drawing?
Final answer:
To find the perimeter of Jill's room in the scale drawing, convert the actual room measurements using the scale and then calculate the perimeter based on the scaled dimensions. The perimeter on the drawing is 12 inches.
Explanation:
The question asks us to calculate the perimeter of a room in a scale drawing. Jill's room measurements are 12.5 feet in length and 11.5 feet in width, with a scale of 0.5 inch equals 2 feet. To find the perimeter on the drawing, we first convert the actual measurements into scale measurements:
Scale for Length: 12.5 feet / 2 feet = 6.25; then 6.25 × 0.5 inch = 3.125 inches.
Scale for Width: 11.5 feet / 2 feet = 5.75; then 5.75 × 0.5 inch = 2.875 inches.
Next, we calculate the perimeter of Jill's room on the drawing:
Perimeter = 2 × (Length + Width) in the drawing.
Perimeter = 2 × (3.125 inches + 2.875 inches) = 2 × 6 inches = 12 inches.
Therefore, the perimeter of Jill's room on the drawing is 12 inches.
you are making balloon arrangements for a birthday party. There are 16 white balloons and 24 red balloons . Each arrangement must be identical .What is the greatest number of arrangements you can make using every balloon
The greatest number of arrangements using every balloon is an illustration of the highest common factors (HCF).
The greatest number of arrangements you can make using every balloon is 8.
Given that:
[tex]White = 16[/tex]
[tex]Red = 24[/tex]
To determine the greatest number of arrangements, we simply calculate the HCF of 16 and 24.
We have:
[tex]16 = 2\times 2\times 2 \times 2[/tex]
[tex]24 = 2\times 2\times 2 \times 3[/tex]
The highest common factor is:
[tex]HCF =2 \times 2 \times 2[/tex]
[tex]HCF =8[/tex]
Hence, the greatest number of arrangements you can make using every balloon is 8.
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Blaine exchanges $100 for yen before going to Japan. If each U.S dollar is worth 88.353 yen, how many yen should Blaine receive
Substitute the values of x and y into the expression -3x^2 + 2y^2 + 5xy - 2y + 5x^2 - 3y^2. Match that value to one of the numbers.
1. X=2 Y= -1_____________________________? = 14
2. X=0 Y=2.5__________________________? = 1.665
3. X= -1 Y= -3____________________________? = -1
4. X= .5 Y= -1/10__________________________? = 9.17
5. X= 3/4 Y= 2/5_________________________? = -11.25
6. X= Square root of 2 Y= Square root of 2______? = 0.44
Please don't ask if I have apples like the last guy did.
write each mixed number as an improper fraction and as a decimal then tell whether the decimal is terminating or repeating.
7. 3 2/9
8. 15 1/20
9. -5 1/20
why are there 9 square feet in a square yard
A gardener is attempting to put a fence around a rectangular garden. The total length of the fence is 30 feet. The width of the garden is 3 ft longer than the length. What are the length and width of the garden?
Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%. What was the cost of the bonds? What was the total annual interest? What is the yield?
Answer:
Cost:$ 920 each or $5,520
Total annual interest: $65 per bond and $390 total
Yield: 7.06%
Step-by-step explanation:
The cost of the bonds is given by the multiplication of the value of the bonds by 92 and divided by 100:
1000*92/100=920
So the cost of each bond would be $920
Then the interest that is payed by the bonds is based on its value which is $1000, so he receives 65 dollars per bond a year, that multiplied by the 6 bonds is equal to $390.
The yield is the real money paid to return interest rate relation, so you just have to take the percentage if 5,520 is the 100, how much is $390=
5520/100=390/x
x=39000/5520=7.06%
A helicopter is flying at a altitude of 785 feet.It descends 570 feet, and then ascends 595 feet.
Answer:
810 feet.
Step-by-step explanation:
We are supposed to find the final altitude of the helicopter.
We have been given that a helicopter is flying at a altitude of 785 feet, this means that altitude of helicopter is positive.
Further, the helicopter descends 570 feet, this means that altitude of helicopter is [tex]-570[/tex].
Finally, the helicopter ascends 595 feet, this means that altitude of helicopter is [tex]595[/tex].
[tex]\text{Helicopter's final elevation}=785\text{ ft}-570\text{ ft}+595\text{ ft}[/tex]
[tex]\text{Helicopter's final elevation}=810\text{ ft}[/tex]
Therefore, the final elevation of helicopter is 810 feet.
The change in the value of an account when given to the nearest dollar
The net change in the value of the account, when rounded to the nearest dollar, is $550.
To find the net change in the value of the account, you would sum up the amounts deposited, subtract the amounts withdrawn, and add the interest earned:
Net change = (Deposits - Withdrawals) + Interest earne
Net change = ($500 - $250) + $300
= $250 + $300
= $550
Therefore, the net change in the value of the account, when rounded to the nearest dollar, is $550.
The probable question maybe:
"What is the net change in the value of an investment account after depositing $500, withdrawing $250, and earning $300 in interest, when rounded to the nearest dollar?"
25 is 10% of what number ?
11 is what percent of 55 ?
*****please explain*****
A bus is 4 1/3 metres tall. A bridge is 5 7/9 metres above the road. How much space is there between the bus and the bridge?
5 7/9 - 4 1/3
covert 1/3 to 9ths 3 x 3 = 9 so 1/3 = 3/9
5 7/9 - 4 3/9 = 1 4/9 meters
At the end of the day, a pharmacist counted and found she has 4/3 as many prescriptions for antibiotics as she did tranquilizers. She had 84 prescriptions for the two types of drugs. How many prescriptions did she have for tranquilizers?
By using algebra to model the problem, we find that the pharmacist had 36 prescriptions for tranquilizers.
Explanation:In the given problem, we need to find out the number of prescriptions for tranquilizers. We know that the pharmacist has 4/3 as many prescriptions for antibiotics as tranquilizers. We also know that the total number of prescriptions for both the drugs is 84. We can make a mathematical model out of this information and solve for the number of tranquilizer prescriptions.
Let us suppose the number of tranquilizer prescriptions is x. Then the number of antibiotic prescriptions would be 4/3*x. Together, these prescriptions add up to 84.
So, we can write the equation: x + 4/3*x = 84
To make the equation simpler we can multiply the entire equation by 3 which transforms the equation into: 3x + 4x = 252
Combining like terms gives us: 7x = 252
Finally, dividing both sides of the equation by 7 gives us the solution: x = 252 / 7
So, x = 36
Therefore, we conclude that the pharmacist had 36 prescriptions for tranquilizers.
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how many1digit decimals are between 1.2 and 1.7
Please help me with this assignment, I will reward 100 points for an honest and fair answer.
Hi there!
For the first one the answer is D. [tex] -\dfrac{9}{2} , -3, \dfrac{1}{2} , \sqrt{6} , 4.2 [/tex]
For the second one the answer is B. Irrational Numbers, Real Numbers
For the last one the answer is [tex] 9 < \sqrt{93} < 10 [/tex]
Your friend, ASIAX
Rose's stamp collection is 7 less than half of Van's stamp collection, x.
Which expression represents the total number of stamps that Rose has?
The expression representing Rose's stamp collection is given by R = (1/2)x - 7. It denotes that Rose's collection is 7 less than half of Van's stamp collection, where x represents the total number of stamps in Van's collection.
Let's denote Van's stamp collection as x. According to the given information, Rose's stamp collection is 7 less than half of Van's stamp collection.
Expression for Rose's stamp collection (R):
R = (1/2)x - 7
Here's the breakdown of the expression:
(1/2)x represents half of Van's stamp collection.
-7 signifies 7 less than half of Van's stamp collection.
This expression encapsulates the relationship between Rose's stamp collection and half of Van's collection, diminished by 7.
You buy 3.8 pounds of trail mix. The mix costs $2.78 per pound. What is the total price for the trail mix?
4y-7+2y=-3(y-1)-1 solve for y
The value of y is 1.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Let's simplify the left-hand side first:
4y - 7 + 2y = 6y - 7
Now let's simplify the right-hand side:
-3(y - 1) - 1 = -3y + 2
Now we can substitute these simplified expressions back into the original equation and solve for y:
6y - 7 = -3y + 2
Adding 3y to both sides, we get:
9y - 7 = 2
Adding 7 to both sides, we get:
9y = 9
Dividing both sides by 9, we get:
y = 1
Therefore, the solution is y = 1.
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How to simplify 6/18
The simplified form of [tex]\frac{6}{18}[/tex] is [tex]\frac{1}{3}[/tex].
To simplify the fraction [tex]\frac{6}{18}[/tex], follow these steps:
Find the greatest common divisor (GCD) of the numerator and the denominator. The numerator is 6 and the denominator is 18. The greatest common divisor of 6 and 18 is 6.
Divide both the numerator and the denominator by their GCD.
When we divide the numerator 6 by 6, we get [tex]\frac{6}{6} = 1[/tex].
When we divide the denominator 18 by 6, we get [tex]\frac{18}{6} = 3[/tex].
Write the simplified fraction: After dividing both parts by 6, the fraction [tex]\frac{6}{18}[/tex] simplifies to [tex]\frac{1}{3}[/tex].
the state sales tax in new york is 4.25. Jean spends $208 at a department store
ten less than five times a number cubed
Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.
How to convert the sentence into an expression?The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
Ten less than five times a number cubed.
Let the number be 'x'. Then the cube of the number x will be x³.
Then the five times a number cubed will be given as,
5x³
Ten less than five times a number cubed. Then the expression is given as,
⇒ 10 - 5x³
Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.
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The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms. How many times greater is the mass of the sun than the mass of Mercury? Drag and drop the values into the boxes to represent the answer in scientific notation. 0.0656.565.5106107 108
What's the prime factorization of 105
The prime factorisation of 105 is therefore 3 * 5 * 7.
Prime factorizationWe can factorize 105 into its prime factors by dividing it by prime numbers up to the point when we can no longer divide it. Here is how it works:
Divide 105 by the following prime number, 3, for a result of 35.
35 divided by the following prime number, 5, yields a result of 7 that is:
35/5 = 7
The seventh prime number has been reached. The prime factorisation of 105 is therefore 3 * 5 * 7.
Thus, 3 * 5 * 7 is the prime factorization of 105.
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