Answer:
[tex]3 \frac{3}{4} \times 3 \frac{1}{3} = \frac{15}{4} \times \frac{10}{3} = \frac{25}{2} = 12 \frac{1}{2} [/tex]
The area of this room is 12 1/2 yd².
The area of the rectangular room is (12.5) square yards, calculated by multiplying length and width.
To find the area of a rectangular room, you multiply its length by its width. Given that the length is [tex]\(3 \frac{3}{4}\)[/tex] yards and the width is [tex]\(3 \frac{1}{3}\)[/tex] yards, you can calculate:
[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]
First, let's convert the mixed numbers to improper fractions:
[tex]\[ 3 \frac{3}{4} = \frac{4 \times 3 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4} \text{ yards} \]\[ 3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3} \text{ yards} \][/tex]
Now, plug these values into the formula:
[tex]\[ \text{Area} = \frac{15}{4} \times \frac{10}{3} \]\[ \text{Area} = \frac{15 \times 10}{4 \times 3} \]\[ \text{Area} = \frac{150}{12} \]\[ \text{Area} = 12.5 \text{ square yards} \][/tex]
So, the area of the rectangular room is [tex]\(12.5 \, \text{square yards}\).[/tex]
Determine which solution is correct for solving 5/7y = 6 using reciprocals
What is Reciprocal?
The reciprocal of a number is 1 divided by that number.
For example, the reciprocal of 3 is 1 divided by 3, which is 1/3.
In the question, it is given:
[tex]\frac{5}{7} y=6\\\\y=\frac{6*7}{5} \\\\y=\frac{42}{5}[/tex]
Thus, the value of y= 42/5
In terms of reciprocal, it can be written as: y=5/42.
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Answer:
This is the answer
Step-by-step explanation:
B is the midpoint of AC. Given AB = 3x + 8 and BC=5x - 2; find the value of x
Answer:
x = 5
Step-by-step explanation:
Given that B is at the midpoint of AC, then
AB = BC ← substitute values
3x + 8 = 5x - 2 ( subtract 5x from both sides )
- 2x + 8 = - 2 ( subtract 8 from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
You’re working in the sedan section of dean’s car dealership. A customer makes a down payment of 15% on a new car that costs $13,450. How much is the down payment?
Answer:
Convert 15 % to a decimal.
Then multiply 0.15 x 13450. That means the answer is $2,017.50
Please mark brainliest if this helped.
The down payment for the car is $2,017.50.
Explanation:The down payment can be found by multiplying the cost of the car by the percentage of the down payment. In this case, the down payment is calculated as follows:
Down payment = $13,450 * 15%
Thus, the down payment is $2,017.50.
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Factor.
9x^4−64y^2
HELPPPP PLEASE
The factor of the expression 9x⁴ - 64y² will be;
⇒ (3x² - 8y) (3x² + 8y)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 9x⁴ - 64y²
Now, Factor of the expression is solve as,
⇒ 9x⁴ - 64y²
⇒ (3x²)² - (8y)²
Since, (a² - b²) = (a - b) (a + b)
So, Apply the above formula in the expression as;
⇒ 9x⁴ - 64y²
⇒ (3x²)² - (8y)²
⇒ (3x² - 8y) (3x² + 8y)
Thus, The factor of the expression 9x⁴ - 64y² will be;
⇒ (3x² - 8y) (3x² + 8y)
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What is 56 divided by (-7)
Answer:-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
56/-7
you can read 52 pages per hour. You read for an hour and half. How many pages have you read? You must read 130 pages for homework. Can you complete the assignment in two hours? Explain your reasoning
Answer:
52*2=104
no you cannot complete the homework under two hours
Step-by-step explanation:
since 52*2 is only 104, and you need 130 pages to complete it, i would say that you can't complete the homework under two hours
There is an old saying that goes, Every time I go one step forward, I get bumped two steps backward. Taken literally, what would the person's forward prgess be after going through this process 23 times?
how is 1.479 a rational number
Step-by-step explanation:
because it has decimal number.
What is 8+w/4 when w =16
Answer:
12
Step-by-step explanation:
8 + w/4
w = 16
8 + 16/4
16/4 = 4
8 + 4
8 + 4 = 12
12
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 555, find the numbers.
Answer:
167
Step-by-step explanation:
Let n be your first number. Then the second number is 5n; and the third number is n+100. So:
n+5n+n+100=569
Final answer:
The three numbers in question are 65, 325, and 165, found by setting up an equation based on the given relationships and solving for the first number.
Explanation:
Finding the Three Numbers
Let's denote the first number as x. According to the problem, the second number is 5 times the first number, which can be written as 5x. The third number is 100 more than the first number and can be represented as x + 100. The sum of these three numbers equals 555, so we can set up the following equation to solve for x:
x + 5x + (x + 100) = 555
Combining like terms, we get:
7x + 100 = 555
Subtracting 100 from both sides gives us:
7x = 455
Now divide both sides by 7:
x = 65
The first number is 65. Using this value, we can find the second number:
5x = 5 × 65 = 325
And the third number:
x + 100 = 65 + 100 = 165
Therefore, the three numbers are 65, 325, and 165.
0.09×______=0.9 what is the answer please help
What is the range of the function y = 5 - 2x when the domain is {0, 1, 2, 3}?
Answer: {5, 3, 1, -1}
Step-by-step explanation:
So, domain is the x-values and range is the y-values. You're trying to find the y-values. The problem gives you the domain: {0, 1, 2, 3}. So now you plug in the x values into the equation to get the y-values.
1. y = 5 - 2(0)
y = 5
2. y = 5 - 2(1)
y = 3
3. y = 5 - 2(2)
y = 1
4. y = 5 - 2(3)
y = -1
So, now you have the y-values, or range.
{5, 3, 1, -1}
I hope this helps you!
Write this ratio as a fraction in the simplest form 2 pounds to 28 ounces
2lbs/28oz
Divide each side by 2
1lbs/14oz
The simplest form of the ratio is: 8/7. To express the ratio of 2 pounds to 28 ounces as a fraction in simplest form, we need to convert both quantities to the same unit of measurement.
Since there are 16 ounces in 1 pound, we can convert 2 pounds to ounces:
2 pounds * 16 ounces/pound = 32 ounces
Now, the ratio becomes:
32 ounces to 28 ounces
To write this ratio as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD), which is 4 in this case:
32 ounces ÷ 4 = 8
28 ounces ÷ 4 = 7
So, the simplest form of the ratio is:
8/7
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Which expression represents a perfect square monomial and it’s square root? Check all that apply
[]121; 11
[]4x2; 2x
[]9x2-1; 3x-1
[]25x; 5x
[]49x4; 7x2
Final answer:
Final answer:
The expressions that represent a perfect square monomial and its square root are: 121 and 11 since 121 is 11 squared; 4x2 and 2x as 4x2 is the square of 2x; and 49x4 and 7x2 since 49x4 is the square of 7x2.
Explanation:
The expression that represents a perfect square monomial and its square root must fulfill a specific criterion where the expression can be written as the square of a monomial. A perfect square monomial, when factored, will give the square of a binomial, which suggests that it's been multiplied by itself. The square root of such an expression will be simply the base of that monomial.
Looking at the provided options, only certain expressions fit this definition:
121; 11 - 121 is indeed a perfect square as it's 11 squared, and its square root is 11.
4x2; 2x - Here, 4x2 is the square of 2x, making 2x its square root.
49x4; 7x2 - In this case, 49x4 is the square of 7x2, hence, 7x2 is the square root of 49x4.
The other expressions listed do not represent perfect square monomials with their respective square roots. In particular, 9x2-1 is not a monomial and 25x is not a square of a monomial.
help me find the perimeter of this triangle pls:)
one thing to be noteworthy is that this triangle has two angles, a 60° one and a 90° one, meaning the last angle will be a 30° one, thus we can use the 30-60-90 rule.
Check the picture below.
Solve for x in the literal equation −18 = xy + z
−18 = xy + z
move +z to the other side
sign changes from +z to -z
-18-z= xy+z-z
-18-z= xy
divide both sides by y to get x by itself
-18/y-z/y= xy/y
Answer:
x= -18/y-z/y or x=-z/y-18/y
7) Katie is baking muffins for a picnic. She can bake 24 muffins in 45 minutes. At this rate, how
many muffins can she bake in 90 minutes and how do you know?
Katie can bake 48 muffins in 90 minutes because 90 minutes is twice 45 minutes, and since she can bake 24 muffins in 45 minutes, double the time means she can bake double the amount of muffins.
Katie is baking muffins at a rate where she can bake 24 muffins in 45 minutes. To determine how many muffins she can bake in 90 minutes, we simply need to set up a proportion and solve for the unknown quantity.
Step-by-Step Solution:
Identify the rate: 24 muffins per 45 minutes.Understand that 90 minutes is twice 45 minutes, so we will have two periods of this duration.Since the rate of baking is consistent, we multiply the number of muffins (24) by the number of 45-minute periods within 90 minutes (which is 2).Calculate the total: 24 muffins per period x 2 periods = 48 muffins.Therefore, Katie can bake 48 muffins in 90 minutes because the duration is double the time it takes to bake the original 24 muffins, hence she can bake twice as many.
[tex]6 = \frac{a}{4} + 2[/tex]
take a peek at the fractions in the expression, hmmmm let's see the LCD of all fractions will just be 4, in this case there's one fraction only anyway, so let's multiply both sides by that LCD of 4 to do away with the denominators
[tex]\bf 6=\cfrac{a}{4}+2\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4(6)=4\left( \cfrac{a}{4}+2 \right)}\implies 24=a+8\implies 16=a[/tex]
What is 35 divided by 5/6????
This is super urgent answer ASAP PLEASE I NEED THIS ANSWER IMMEDIATELY!!!! ANSWER THIS IMMEDIATELY!!!!!!!!!!!!
Answer:
42
Step-by-step explanation:
Can someone please answer this question 3[(x^2)^3]^0
Answer:
sure! Always do what's inside the brackets first and then the parentheses.
Step-by-step explanation:
anyways the answer is 3
Explain the Subtraction Property of Inequalities.
Answer:Well, one of those rules is called the subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. -virtualnerd.com
Step-by-step explanation:
The Subtraction Property of Inequalities allows subtracting the same value from both sides of an inequality without altering its direction, a fundamental concept in algebra.
The Subtraction Property of Inequalities states that you can subtract the same value from both sides of an inequality without changing the inequality's direction. This property is essential in solving inequalities and maintaining the inequality relationship.
For example:
If 3 < 7, then subtracting 2 from both sides gives 1 < 5, which still holds true.
Understanding and applying this property correctly is crucial in algebra and helps in solving various mathematical problems.
Solve for :
-9= q - 4.8
Answer:
q=13.8
Step-by-step explanation:
dude you should mark me as brainliest answer
9.
6. Which of the following decimals is between -3
and -4?
Answer:
You did not provide options but it would be any one of them that starts with -3 and then has a decimal.
Malik collects rare stamps and has a total of 212 stamps. Solve the system of equations.
He has 34 more domestic stamps than foreign stamps. How many foreign stamps does Malik have?
Let x represent the number of domestic stamps and let y
represent the number of foreign stamps.
foreign stamps
This system of equations models the given information
for both stamp types.
How many domestic stamps does Malik have?
x-y = 34
domestic stamps
x + y = 212
Using the two given equations:
x - y = 34
x +y = 212
Rewrite the first one in terms of x:
x = 34 + y
Now replace x in the 2nd equation:
34 + y + y = 212
Simplify:
34 +2y = 212
Subtract 34 from both sides:
2y = 178
Divide both sides by 2:
y = 178/2
y = 89
Now replace y in an equation to solve for x:
x + 89 = 212
x = 212-89
x = 123
He has 123 domestic stamps and 89 foreign stamps.
Malik has 123 domestic stamps and 89 foreign stamps
The equations are given as:
[tex]x - y = 34[/tex]
[tex]x + y = 212[/tex]
Make x the subject in [tex]x - y = 34[/tex]
[tex]x =34 + y[/tex]
Substitute 34 + y for x in [tex]x + y = 212[/tex]
[tex]34 + y + y = 212[/tex]
Evaluate like terms
[tex]34 + 2y = 212[/tex]
Subtract 34 from both sides
[tex]2y = 178[/tex]
Divide both sides by 2
[tex]y = 89[/tex]
Substitute 89 for y in [tex]x =34 + y[/tex]
[tex]x = 34 + 89[/tex]
[tex]x = 123[/tex]
Hence, Malik has 123 domestic stamps and 89 foreign stamps
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I need help, please!
A tennis coach selected 5 of the 8 players he trained to represent his coaching academy in a tournament.
Which ratio is equivalent to the ratio in this situation?
A. 15 over 21
B. 20 over 32
C. 5 over 3
D. 8 over 13
Answer:
B. 20 over 32
Step-by-step explanation:
Because if you multiply both number by 4, you will get the ratio of 20:32
Final answer:
The equivalent ratio to 5 out of 8 players selected is 20 over 32, as both ratios reduce to the same value when simplified. Options A, C, and D are not equivalent to the original ratio of 5 to 3. Therefore, option(B) is correct.
Explanation:
The question asks about equivalent ratios. The tennis coach selected 5 out of 8 players to represent his academy, so the original ratio is 5 selected to 3 not selected (since 8-5 = 3). To find an equivalent ratio, we need to find multiples of both numbers that maintain the same relationship.
Option A, which presents the ratio 15 over 21, can be reduced by dividing both numbers by 3, yielding 5 over 7. This is not equivalent because 5 selected to 3 not selected is different than 5 to 7.
Option B, the ratio of 20 over 32, can also be reduced by dividing both numbers by 4, yielding 5 over 8. This is equivalent to the original ratio of 5 to 3 since the number of selected players would be scaled similarly. Therefore, the correct answer is B. 20 over 32.
Option C, 5 over 3, presents the opposite of the original scenario, where the numerator would represent the selected players, but this ratio does not need scaling, so it's not a valid equivalent ratio in this question.
Lastly, option D, 8 over 13, does not reduce to a ratio equivalent to 5 over 3 as these numbers have no common factors with 5 and 3 respectively.
Use long division to determine the decimal equivalent of 7 over 9. 0 point 6 bar 0 point 7 bar 0 point 8 bar 0 point 9 bar
The answer is 0.7 bar.
See the attached picture:
hope it helps!
The number of boys in the tennis club is 10mire than half the number of girls. There are 30 boys in the tennis club. All together, how many boys and girls are in the club.
Answer:
36
Step-by-step explanation:
Let the number of girls in club be [tex]x[/tex]
Number of boys = 30
Number of boys is 10 times half the number of girls
i.e. [tex]30 = 10(\frac{x}{2} ) = \frac{10x}{2} \\60 = 10x\\x = \frac{60}{10} \\x = 6[/tex]
Total number of boys and girls in club = 30 + 6 = 36
Use the figure to the right to find the value of PT. T is the midpoint of PQ overbar . PT equals 3x+3 and TQ equals 5x-7
How to use mental math in 56,211 -6,189 ?
In mental math, we simplify computations. For the given problem, we round 6,189 to 6,000, subtract it from 56,211 to get 50,211 and add back the amount we rounded down (189) to get the answer 50,400.
Explanation:Using mental math means finding a solution with simplified steps or approximate computation, instead of the traditional written or calculator methods.
In this problem; 56,211 - 6,189, you can use rounding to make this easier.
1. Round 6,189 to the nearest thousand, which is 6,000.
2. Subtract this from 56,211 to get 50,211.
3. However, we rounded down by 189 at the beginning. To correct this, just add 189 back to the answer, resulting in 50,400.
This method simplifies the process and lessens your risk of making errors when handling larger numbers.
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For 56,211 - 6,189, rounding gives 50,000, and adding the small differences back in results in a final answer of 50,022.
To use mental math for the subtraction 56,211 - 6,189, consider the following steps:
First, round each number to the nearest thousand to simplify: 56,211 rounds to 56,000 and 6,189 rounds to 6,000.
Subtract the rounded numbers: 56,000 - 6,000 = 50,000.
Note that the actual numbers are slightly higher than their rounded values, making the difference slightly more than 50,000.
Adjust the result by calculating the exact difference between the small parts ignored during rounding. For example, the difference between 56,211 and 56,000 is 211, and
the difference between 6,189 and 6,000 is 189.
Add the small differences back into the result: 211 - 189 = 22.
Combine the simple difference with the adjustment: 50,000 + 22 = 50,022.
Therefore the final answer is 50,022
Solve the inequality:
x^2(x+2)(x-7) is greater than or equal to 0
Answer:
x² ≥ 0 for all x.
(x + 2)(x - 7) ≥ 0 when x ≤ -2 or x ≥ 7.
So x²(x + 2)(x - 7) ≥ 0 when x ≤ -2 or
x ≥ 7.