Answer:
Therefore side B= 11.18 and side A=2×11.18=22.36.
Step-by-step explanation:
Given,side A is twice as long as B and C is 25.
Let side B= x
Then side A = 2x
Using Pythagorean Theorem,
A²+B²=C²
⇔(2x)²+x²=25²
⇔4x²+x²=625
⇔5x²=625
⇔x²=125
⇔x=√125
⇔x =11.18
Therefore side B= 11.18 and side A=2×11.18=22.36.
Answer:
The length of side A is 22.4 and length of side B is 11.9.
Step-by-step explanation:
Given:
If side A is twice as long as B and C is 25.
Solve by using the Pythagorean Theorem.
Now, to get the lengths of side A and side B.
As side C = 25.
Let the side B be [tex]a.[/tex]
As, given A is twice as long as B.
So, the side A be [tex]2a.[/tex]
So, we solve by using Pythagorean Theorem:
A² + B² = C²
[tex](2a)^2+(a)^2=(25)^2[/tex]
[tex]4a^2+a^2=625[/tex]
[tex]5a^2=625[/tex]
Dividing both sides by 5 we get:
[tex]a^2=125[/tex]
So, using square root on both sides we get:
[tex]a=11.18.[/tex]
Rounding to the nearest tenth B = 11.9.
Now, to get A by putting the value of [tex]a[/tex]:
[tex]2a\\=2\times 11.18\\=22.36.[/tex]
Rounding to the nearest tenth A = 22.4.
Therefore, the length of side A is 22.4 and length of side B is 11.9.
EASY POINTS Double the product of 6y and 3bc
Answer:
12y and 6bc
Step-by-step explanation:
multiply by 2
The product of [tex]6y[/tex] and [tex]3bc[/tex] after doubling would be as follows:
[tex]36bcy[/tex]
Variable
A variable is a symbol and placeholder for a changing amount or any mathematical object.An algebraic expression is one that is composed of integer constants, variables, and algebraic operations.Product of [tex]6y,3bc=18bcy[/tex]
Double the product of [tex]6y,3bc=2(18bcy)[/tex]
[tex]=\textbf{36bcy}[/tex]
Thus, it is the correct answer.
Find out more information about the "algebraic expression" here:
brainly.com/question/953809
Factor 9x2 + 6x + 12x + 8
Step-by-step explanation:
9x2= 3 • 3 • x2
6x= 3 • 2 • x
12x= 2 • 2 • 3 • x
8= 2 • 2 • 2
what would be the amount of a check issued for an 08/11 invoice for 648.50 paid on 09/13 with the terms: 3/10, 2/15, N30-5%APR?
Answer:
The amount of a check issued for an 08/11 invoice, would depend on when the invoice is paid.
If it's paid within 13 days, there's a 3% discount . which will be calculated as
648.50 x 3% = $19.455 discount
If it's paid within 11 - 15 days, there's a 2% discount.
648.50 x 2% = $12.97 discount
If it's paid within 16 - 30 days, there is no discount
If it's paid after 30 days, 5% APR is added to the bill
The check would be for the invoice amount of $648.50 plus a late fee of $2.67, totaling $651.17. The late fee is applied since the payment was made 3 days after the 30-day period from the invoice date and calculated using a daily rate derived from the 5% APR.
Explanation:The invoice has specific payment terms: 3/10, 2/15, N30. These are discounts offered for early payment. The first part '3/10' means that the payer gets a 3% discount if they pay within 10 days. The second part '2/15' offers a 2% discount if the payer pays within 15 days. 'N30' means that the full amount due needs to be paid within 30 days from invoice date. Additionally, there is a 5% APR (annual percentage rate) charge for late payments.
The invoice was issued on 08/11, and the payment was made on 09/13, which is 33 days after the invoice date. Therefore, there aren't any discounts for the payment because it's not within the 10 or 15 days period. However, it's slightly over the 30 days, so there will be a late fee applied. The late fee is commonly calculated based on a daily rate. The daily rate is the APR divided by 365 (5%/365=0.0137%). Multiply the daily rate by the number of late days (33-30=3) and the invoice amount ($648.50).
So the late fee is 648.50*0.0137%*3=$2.67. The amount of the check would be the original invoice amount $648.50 plus late fee $2.67, so the total is $651.17.
Learn more about Invoice Payment Calculations here:https://brainly.com/question/33373978
#SPJ3
To make a soup, 2 cups of chicken broth are needed for each 1/4 cup of dried lentils. How many cups of chicken broth are needed if 2 1/4 cups of dried lentils are used?
Answer:
You'll need 18 cups of chicken broth!
Step-by-step explanation:
You are using a ratio of 1/4 cup (lentils) to 2 cup (broth). Therefore, you need to find the relationship between lentil and broth.
In order to get from 1/4 to 2, you multiply by 8. (1/4 * 8 = 2)Therefore, the common relationship is multiplying the lentil amount by 8So, 2 1/4 * 8 = 18Therefore, 18 cups are needed :D
To make a soup with 2 1/4 cups of dried lentils, you would need 9 cups of chicken broth.
Explanation:To find the number of cups of chicken broth needed, we need to multiply the given number of cups of dried lentils (2 1/4 cups) by the ratio of chicken broth to dried lentils. The ratio is 2 cups of chicken broth per 1/4 cup of dried lentils. So, for 2 1/4 cups of dried lentils, we would need:
2 1/4 cups × (2 cups/1/4 cup) = 9 cups of chicken broth
Learn more about Cups of chicken broth needed here:https://brainly.com/question/31763332
#SPJ1
What is an equivalent expression to 4x - 16
Answer: x-4, 2x-8, 8x-32
Step-by-step explanation:
Add: (8x – 2y) +(4x + 4y – 6)
+ 2y - 6
12x – 6y - 6
12x – 2y - 6
14xy – 6
What’s the average of 14,17,22,27
Answer:
20
Step-by-step explanation:
Average =
sum of scores/number of score
= 14 + 17 + 22 + 27 / 4
= 80/4
= 20
15. A band expects to have 16 songs on their next
album. The band writes and records 62.5% more
songs than they expect to have in the album.
During the editing process, 50% of the songs are
removed. How many songs will there be in the
final album?
Answer:
There will be 13 songs in the final album.
Step-by-step explanation:
i) number of songs expected = 16 songs
ii) the band wrrites 62.5% more
therefore the band writes [tex]16 \times ( 1 + 0.625) = 16 \times 1.625 = 26[/tex] songs
iii) During the editing process 50% of the songs are removed.
Therefore there will be in the final album = [tex]( 1 - 0.5) \times 26 = 0.5 \times 26 = 13[/tex] songs.
Simplify: -(-6x + 3)
Joe gave 1⁄4 of his total candies to his classmates. Then he gave 4/6 of what he had left to his brother when he went home. He then realized that he didn’t give any to his sister, so he gave 25% of the remaining candies to her. After all this, he realized he only had 21 candies left. How many candies did he have in the beginning
Answer:
112 candies
Step-by-step explanation:
Start from the end.
Joe gave 25% of the remaining candies to his sister and has 21 candies left. Then
[tex]21 \ candies - 75\%\\ \\x \ candies - 25\%[/tex]
Write a proportion:
[tex]\dfrac{21}{x}=\dfrac{75}{25}\\ \\75x=21\cdot 25\\ \\x=\dfrac{21}{3}=7[/tex]
Joe gave 7 candies to his sister, so before this he had 21 + 7 = 28 candies.
He gave 4/6 of what he had left to his brother when he went home, so 2/6 of all his candies left ot him. Hence,
[tex]28\ candies - \dfrac{2}{6}\\ \\x\ candies - \dfrac{4}{6}[/tex]
Write a proportion:
[tex]\dfrac{28}{x}=\dfrac{\frac{2}{6}}{\frac{4}{6}}\\ \\\dfrac{28}{x}=\dfrac{1}{2}\\ \\x=28\cdot 2=56[/tex]
Joe gave 56 candies to his brother, so Joe had 28 + 56 = 84 candies when he went home.
Joe gave 1/4 of his total candies to his classmates, so 3/4 of his candies left to him. So,
[tex]x\ candies - \dfrac{1}{4}\\ \\84\ candies - \dfrac{3}{4}[/tex]
Write a proportion:
[tex]\dfrac{x}{84}=\dfrac{\frac{1}{4}}{\frac{3}{4}}\\ \\\dfrac{x}{84}=\dfrac{1}{3}\\ \\3x=84\\ \\x=28[/tex]
Therefore, initially, Joe had 28 + 84 = 112 candies.
Enter the number
15.666666666667
15.666666666667
rounded to the nearest hundredth (two decimal places):
Answer:
15.666666666667=15.67 to the nearest hundredth or to two decimal places.
Step-by-step explanation:
We want to round 15.66666666667 to the nearest hundredth or to two decimal places.
We count two numbers after the decimal place to get:
15.66|6666666667
The next digit is 6
Since 6>5, we round up.
This means we add 1 to the number the hundredth place to get
15.67
Hey can somebody help me with this, I’m having a hard time knowing what it is...???
Answer:
[tex]\left[\begin{array}{cc}0&2\\3&3\\6&4\\9&5\end{array}\right][/tex]
Step-by-step explanation:
+2 means that when c is at 0 w is at 2.
1/3c means that c moves up 3 at a time.
How do you solve 6x+18=2(3x+9)
Answer:
infinite solutions
Step-by-step explanation:
6x + 18 = 2(3x + 9)
1. 6x + 18 = 6x + 18 Distribute the 2
2. X can be any number since they are the same.
Suppose 4/5 of a different box of oranges weighs 8 pounds how many pounds of oranges are in the full box
Answer:
10
Step-by-step explanation:
if you take 8 and divide it by 4 you get 2 meaning that each fifth is 2 pounds. if there are 5/5 that means there are 10 pounds
Rita works at a gym where she gets paid $450 each week plus $15.50 for any new gym membership she sells. If y represents the total pay per week and x represents the number of new memberships sold, which of the following equations represents a higher rate per membership sold?
Answer:
D
Step-by-step explanation:
Calculate the distance
Benjamin rides
his scooter if he rides 3/5mile
each day
for 10 days.
Answer:
Step-by-step explanation:
30/5=6
Final answer:
Benjamin rides his scooter for a total of 6 miles over a period of 10 days, by multiplying the daily distance of 3/5 mile by 10 days.
Explanation:
To calculate the distance Benjamin rides his scooter over 10 days, we multiply the daily distance by the number of days. Benjamin rides 3/5 of a mile each day.
Distance per day = 3/5 mile
Number of days = 10 days
The total distance is:
3/5 mile/day × 10 days = 6 miles
Therefore, the correct answer is Benjamin will have traveled a total of 6 miles over the course of 10 days.
Wat does it mean to estimate a math problem
Answer: Estimate means a close guess.
For example, when estimating with decimals, we would round them to the nearest whole number to estimate the answer.
Example: 3.6 + 1.2
1.2 is closest to 1
3.6 is closes to 4
4 + 1 = 5
A good estimate is 5
3.6 + 1.2 = 4.8
4.8 is very close to 5, so 5 is a very good estimate.
Final answer:
Estimating a math problem involves making an educated approximation of a quantity using prior knowledge and reasoning. It applies to various fields and helps to rule out unrealistic numbers, as well as develop important problem-solving skills.
Explanation:
To estimate a math problem means to find a rough approximation or a ballpark figure of the quantity in question, rather than calculating the exact number. Estimations are based on sound reasoning, prior experience, and a strong grasp of the relevant variables and physical principles. The process is not a wild guess but a calculated approximation that can be derived from formulas where the input quantities are known to a limited precision.
For example, to estimate the mean rent for a two-bedroom apartment in a town, you might calculate the average of several listed rents. Or, in physics, to estimate how large a current will be in a circuit when it is turned on, you would apply the relevant principles and any known quantities to arrive at an approximate value. The goal of estimation is to get within a reasonable range of accuracy without needing a precise computation.
The skills of estimation are vital in many fields, including physics, and they help in ruling out unrealistic results. Practicing these skills, getting familiar with units, and understanding relationships between variables all contribute to making better estimates. Moreover, after arriving at an estimate, it's important to do a sanity check to make sure the result seems reasonable within the context of what is known.
What scale factor was used in the dilation shown below?
Answer:
-3
Step-by-step explanation:
to find the scale factor dividex^1 by x (so old shape to new shape)
Can someone please help me with this 7th grade math homework
Answer:
1) D
2) A, D, F
3) 3.5 mph
4) equation in explanation $15
Step-by-step explanation:
4) equation: 27.50-12.50
Which polynomial represents a sum of cubes?
x^3+9
4x^3+1
8x^3+1
64x^3-27
Which of the following polynomials represents a difference of squares?
4x^2-8
9x^2+16
16x^2-2
49x^2-25
Answer:
1) The polynomial [tex]8x^3+1[/tex] represents a sum of cubes
2) The polynomial [tex]49x^2-25[/tex] represents a difference of squares
Step-by-step explanation:
1) To find the polynomials represents a sum of cubes :
[tex]8x^3+1[/tex] represents a sum of cubes
For [tex]8x^3+1[/tex]
[tex]=2^3x^3+1^3[/tex]
[tex]=(2x)^3+1^3[/tex]
Therefore [tex]8x^3+1=(2x)^3+1^3[/tex]
Therefore [tex]8x^3+1[/tex] represents a sum of cubes
2)To find the polynomials represents a difference of squares :
[tex]49x^2-25[/tex] represents a difference of squares
For [tex]49x^2-25[/tex]
[tex]=7^2x^2-5^2[/tex]
[tex]=(7x)^2-5^2[/tex]
Therefore [tex]49x^2-25=(7x)^2-5^2[/tex]
Therefore [tex]49x^2-25[/tex] represents a difference of squares
Find the area of the circle if it has a circumference of 40
Answer:
127.39 square units
Step-by-step explanation:
We are given;
Circumference of the circle as 40 unitsWe are supposed to determine its area;
The circumference of a circle is given by;Circumference = πD or 2πr , where D is the diameter and r is the radius
Thus;
40 = 2πr
πr = 20
r = 20/π
Area of a circle is given by;
A = πr²
but, r = 20/π
Hence;
Area = π × (20/π)²
= π × 400/π²
= 400/π
Taking π to be 3.14
Area = 400 ÷ 3.14
= 127.39 square units
Thus, the area of the circle is 127.39 square units
Tell how you could use a proportion to find 125% of 500. Why is the solution greater than the original number?
11-5 6th grade work
Answer:
625
Step-by-step explanation:
We have to find 125% of 500
= [tex]\frac{125}{100} * 500 = 1 .25 * 500[/tex] = 625 .
Here the solution (625) is greater than the original (500) because the percentage value is more than 100% . so the answer will come more than its original value.
Combine the like to simplify the expression: -5y + 12 + 8y − 6 − 2 =
First, let's move combine like terms:
-5y + 8y = 6 + 2 -12.
3y = -4.
y = -4/3
Answer:
x = -3 + 2y
Step-by-step explanation:
I'm not sure if that's correct, sorry, dear~!
If AC = 4x – 60 and BD = 30 – x, find BD.
Answer:
Since AC is perfectly equal to BD, 4x-60=30-x. If you solve for x, x=18. Then plug 18 into BD=30-x. Therefore, BD=12.
the difference of n and 23 is greater than or equal to 33
23-n > 33
- <--- that's a greater than or equal to sign
Answer:
23-n > 33
Step-by-step explanation:
John and his best friend found some money and is in an envelope they split the money equally getting 14 how much money did they find
Answer:
$28
Step-by-step explanation:
Since each person got $14 and we know that there are 2 people receiving money, the total amount of money is equal to the amount of money John received, added to the amount of money his best friend got. Since both received $14, we can use the following equation:
Money found = $14 + $14 = $28
Determine whether a figure with the given vertices is a parallelogram. A(4,5), B(-7,-10), C(-4,-9), D(7,6) distance and slope formula
Answer:
C i think..
Step-by-step explanation:
10)
Simplify.
2(x + 3y - 3) - (2x + 6y - 7)
A) 0
B) 1
C) -3y + 4
D) -6x + 10
Answer:
B) 1
Step-by-step explanation:
Answer:1
Step-by-step explanation:
Write 79/10 as a mixed number.
[tex]\frac{79}{10}[/tex], which is a complex fraction, can be written as a mixed number resulting in [tex]7\frac{9}{10}[/tex].
What is a mixed number?A mixed number is a combination of a whole number, a numerator and a denominator.
The numerator is always less than the denominator in a mixed number because it has been converted from a complex fraction to its current status as a mixed number.
Mixed numbers are complex fractions, like [tex]\frac{79}{10}[/tex]. Before the conversion, complex fractions are fractions where the numerator is greater than the denominator.
Thus [tex]\frac{79}{10}[/tex] written as a mixed number is [tex]7\frac{9}{10}[/tex].
Learn more about mixed numbers at https://brainly.com/question/21446512.
#SPJ6
During one waiter's shift, he delivered 13 appetizers, 17 entrees, and 10 desserts. what percentage of the dishes he delivered were
Question
During one waiters shift he delivered 13 appetizers, 17 entrées, and 10 desserts what percentage of the dishes he delivered were: A. Desserts B. Appetizers C. entrees
Answer:
A)Desserts = 25 %
B)Appetizers = 32.5 %
C)Entrées = 32.5 %
Step-by-step explanation:
Given:
Number of appetisers = 13
Number of entrees = 17
Number of desserts = 10
Solution:
Total number of dishes = 13 + 17 + 10 = 40
percentage of the dishes he delivered were Desserts is = [tex]\frac{10}{40} \times 100 = 0.25 \times 100 = 25%[/tex]
percentage of the dishes he delivered were Appetizers is =[tex]\frac{13}{40}\times 100 = 0.325 \times 100[/tex] = 32.5%
percentage of the dishes he delivered were Entrées is = [tex]\frac{17}{40} \times 100 = 0.425 \times 100[/tex]= 42.5 %
To find the percentage of each type of dish a waiter has delivered, add up the total number of dishes, then divide the number of each type of dish by this total and multiply by 100.
Explanation:The subject question requires us to determine what the percentage is of the various types of dishes a waiter delivers during his shift. We're given that the waiter delivered 13 appetizers, 17 entrees, and 10 desserts. We can solve this by doing some basic calculations:
First, we need to figure out the total number of dishes the waiter delivered. We do this by adding together the appetizers, entrees, and desserts he delivered: 13 appetizers + 17 entrees + 10 desserts = 40 dishes in total.
Next, to find the percentage of each type of dish, we divide the number of that type of dish by the total number of dishes, and then multiply the result by 100. For example, for appetizers: (13 appetizers / 40 total dishes) * 100 = 32.5%.
You can do the same calculations for entrees and desserts to find their percentages. These basic calculations are useful not only in a restaurant setting, but also in allocation of tasks in modern businesses and in many other real-world scenarios.
Learn more about Percentage calculations here:https://brainly.com/question/32197511
#SPJ11