Answer:
The width of the patio is 11.29 feet while the length of the patio is 13.29 feet
Step-by-step explanation:
Mathematically, the area of the patio can be calculated by multiplying the length by the breadth of the patio
Thus we have ;
(x + 7)(x + 9) = 150
x^2 + 7x + 9x + 63 = 150
x^2 + 16x + 63 = 150
x^2 + 16x + 63 -150 = 0
x^2 + 16x -87 = 0
we can use the quadratic formula to solve this completely
x = {-b ± √(b^2 - 4ac)}/2a
where a = 1, b = 16 and c = -87
Plugging the values we have
x = {-16 ± √(16^2 - 4(1)(-87)}/2
x = {-16 ± √(256+ 348)}/2
x = {-16 ± √(604}/2
x = (-16 + 24.58)/2 or (-16-24.58)/2
x = 4.29 or -20.29
Choosing x = -20.29 will make our dimensions negative, so we ignore it and make do with the positive value only
Thus our dimensions are 4.29 + 7 and 4.29 + 9
This is equal to 11.29 feet and 13.29 feet respectively
Traveling 15 miles in 20 minutes, how many miles per hour must you be going?
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation
Juan has just completed a 15 kilometer race in 20 minutes. What was his average speed in kilometers per hour?
Solution
First, 15 kilometers is a distance, so
d = 15
Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute. We need to convert 20 minutes to hours. Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took
t = 20 minutes / 60 minutes per hour = 1/3 hours
Now we can use the d=rt equation:
15 = (r)(1/3)
If we multiply both sides
(3)(5) = (r)(1/3)(3) or r = 45
Juan's average speed was 45 kilometers per hour.
how do you simplify this
Answer:
6^8
Step-by-step explanation:
so whenever there is an exponent outside of a parentheses, multiply it with the exponent inside the parentheses:
so (6^4)^2= 6^8
Hope this helps!
Answer:
well the answer is 1679616
Step-by-step explanation:
how you search it up is (6^4)^2 and how you do it is times 6 by 6 by 6 by 6 then whatever that comes out to (1296) you would multiply that twice (1296 times 1296) and that'd be your answer ( 1679616)
1
The price of a pair of shoes increased from $64 to $68. What was the percent increase in the
price of the shoes? Round to the nearest percent. *
A rectangular box is tied with a ribbon so that the ribbon crosses the box at the midpoints of its sides. If the box is 8 inches long, 6 inches wide, and 5 inches high, how long is the ribbon? hint: look for right triangles.
Answer:
The ribbon is 28.4 meters
Step-by-step explanation:
Given the box is 5m high, 6m long, and 8m wide,
we have a right angled triangle with hypotenuse = unknown, x, say
Opposite = 5m and 8m
Then, by Pythagoras theorem
x² = 5² + 8²
x² = 25 + 64
x² = 89
x = √89 ≈ 9.4m
The ribbon is now (5 + 6 + 8 + 9.4)m = 28.4m
Consider the blueprint (scale drawing) of a living room in a house. The size of the longest wall in the house is 16 ft.
A room has wall lengths of one-fourth foot, StartFraction 1 over 12 EndFraction feet, one-sixth foot, and one-third foot.
What can be concluded about the information on the blueprint of the living room? Check all that apply.
Answer: A
D: Divide each length of the scale drawing by the scale factor to find the lengths of the walls.
Answer:
Step-by-step explanation:
What is the sum of the numbers
Answer:
B 4i sqrt(2)
Step-by-step explanation:
sqrt(-2) = sqrt(-1) * sqrt(2) = i sqrt(2)
sqrt(-18) = sqrt(-1) sqrt(2) sqrt(9) = 3i sqrt(2)
Add them together
i sqrt(2) + 3i sqrt(2)
4i sqrt(2)
Answer:
B.) [tex]4\sqrt{2}i[/tex]
Step-by-step explanation:
Simplify both radicals from negative form (the square root of -1 is i ):
[tex]\sqrt{-1*2} +\sqrt{-1*18} \\\\\sqrt{2}i+\sqrt{18}i[/tex]
Simplify [tex]\sqrt{18}[/tex] :
[tex]\sqrt{9*2}\\\\\sqrt{9}*\sqrt{2}\\\\ 3\sqrt{2}i[/tex]
Add:
[tex]1\sqrt{2}i+3\sqrt{2}i\\\\4\sqrt{2}i[/tex]
:Done
One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:.03x=6
Step-by-step explanation x=200 minutes
Answer:
200 minutes
Step-by-step explanation:
To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:
[tex]16.95+0.05x=22.95+0.02x[/tex]
We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.
Solve for x. Subtract 16.95 from both sides and simplify:
[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]
Subtract 0.02x from both sides:
[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]
Divide both sides by 0.03:
[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]
At 200 minutes, the cost for both plans would be the same.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .
Complete Question:
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the account after t years can be calculated using the expression below.
250(1+0.018/2)^2t
Use the given expression to complete the statements below.
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
1st Blank:
Product
Sum
Quotient
Square
2nd Blank:
Quotient
Product
Difference
Sum
3rd Blank:
Compounding Periods
Years
Months
Answer:
First blank: product
Second blank : Sum
Third blank : years
Step-by-step explanation:
The expression :
250(1+0.018/2)^2t
The expression is the *blank* of the amount initially deposited and the *blank* of one and the rate of increase raised to the number of *blank*
The first blank represents product which adopts the use of the bracket () symbol
The second blank is the sum of one and the rate of increase depicted with the addition '+' sign
The third blank represents years which is the period of time in years for which the money was kept in the scholarship account
Write 4x^4 + x^6 - 3+ 6x^8 in standard form.
Answer:
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Step-by-step explanation:
Rewrite this in descending order by powers of x:
6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0
or
6x^8 + x^6 + 4x^4 + 0x^2 - 3
The area of a parallelogram is 12 ft^2 The height is 2 ft. Find the length of the corresponding base
Answer:
The length of the corresponding base is 6 ft.
Step-by-step explanation:
A = bh Use this equation to find the length of the base
12 = 2b Divide both sides by 2 to get b by itself
6 = b
If this answer is correct, please make me Brainliest!
Answer:
6
Step-by-step explanation:
did lesson
Write the number for seventy-five million three hundred thousand
The answer is 75,300,000 hope this helps.
On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?
Answer:
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Step-by-step explanation:
It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Because the first vocab has 15 definitions to match
the second then be left with 14 definitions ( cause the first one match with 1 def already
the third has 13 definition
so on ...
hope this help
Answer:
15! ways
Step-by-step explanation:
15! =1.307 × 10¹²
For the first word, he has 15 options
For the second word, 14 options
.
.
.
For the last word, 1 option
Total possibilities:
15 × 14 × 13 × 12 × ...... × 1 = 15!
Use a geometric model to factor 2x2 - x - 1 by following
these steps:
Step 1: Model the polynomial by placing tiles in the
Product section.
Answer: It is not a perfect rectangle
Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile
Answer:
Step 4: What is the factored form of this trinomial?
✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )
✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )
✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )
Please Help!!!
Which ordered pair is a solution to the equation? 2y = −5x – 4
(−2, 3)
(1, −4)
(0, 2)
(−1, 1)
Answer:(1,-4)
Step-by-step explanation:
1. Find the value of (−0.024)square
HELP DUE NOW GIVING BRAINLIST HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1) distributive property.
Step-by-step explanation:
Becca used the distributive property, in that she distributed (multiplied) 4 to all terms within the parenthesis:
4(x + 2) = 4x + 8
~
Answer:
1. Distributive
Step-by-step explanation:
Becca used the Distributive Property. You can tell because she multiplied (x + 2) by 4, which is distributing the 4.
NEED HELP ASAP. Write a positive or negative integer that represents the situation.
The temperature is 34 degrees below zero.
Answer:
-34
Step-by-step explanation:
Temperature = 34 degrees below zero
temperature= 0-34
temperature= -34
Answer:
- 34
Step-by-step explanation:
That the answer
Need help Soon as possible
Answer:
D; D
Step-by-step explanation:
The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant
The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.
fathi has $1.10 in his printing account. each sheet of paper he uses reduces his printing account balance by $0.25. Fathi wants to print out a PDF document that is 47 pages long. To save paper, he decides to print on both sides of each sheet and to print two pages on each sides of the sheet.
Answer:
IF THE question is After Fathi prints, what will be the balance in his printing account?
then it is: $1.9
There are 47 pages.
Printing on both sides would divide the number of pages into half.
47/2 = 23.5
2 pages on each side would mean 4 pages on one sheet. Therefore, the number of pages will be further divided by 2.
23.5/2 = 11.75
There cannot be 11.75 pages so we will round it up to 12 pages.
Each page costs $0.25 so 12 pages will cost:
12 x 0.25 = $3
Faithi has $1.1 so new account balance will be:
1.1 - 3 = $-1.9
Therefore, Fathi's balance in his printing account would be negative $1.9.
Answer:
The answer is $-1.90
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60 Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets? 1 2 3 4
Answer:
a) 0.09
b) 2 ways
Step-by-step explanation:
a) Probability Pedro's shot will score will be given as) :
P(score) = 0.30
The probability he will score in 2 consecutive shots will be calculated as:
P(score) * P(score)
= 0.30 * 0.30
= 0.09
Therefore, probability he will score in 2 consecutive shots is 0.09
b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are :
= 2!
= 2 * 1
= 2
Which could be in this order:
YXZ or YZX
Therefore, the number of ways if Y is chosen first is = 2 ways
Answer: A. 0.09
Just took test.
Hi so i am writing a movie but i need ideas
Which expression represents finding the volume of the entire solid? Be careful
Answer:
Option 6
Step-by-step explanation:
To find the volume of a cone you use the formula 1/3*pi*r^2*h which would be pi*9^2*7. Then the volume of a cylinder is pi*9^2*50, so option 6 is right I believe.
What is the end behavior of the polynomial function?
Answer:
D) as x approaches neg. infinity, y approaches neg. infinity
Step-by-step explanation:
This is because you get to negative x infinity which is towards the right, you see that the y value is going down sharply as well towards the direction of negative infinity in y direction (x direction is right to left and y direction is up and down)
Answer:
D one Edge 2021 ;))
Step-by-step explanation:
John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?
Answer:
A. He thought 1 quart = 1/4 cup
B. actually made 8 cups of juice
Step-by-step explanation:
From conversion,
1 cup =1/4 quarts
A. John thought 1 quarts = 1/4 cup, which was his mistake
B. His 2/4 cups is actually
4*2 = 8 cups
(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...
Answer:
[tex]\frac{- 39}{70}[/tex]
Step-by-step explanation:
{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
We follow the BODMAS rule
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex] LCM= 35
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex] LCM= 70
= [tex]\frac{3 - 42}{70}[/tex]
= [tex]\frac{- 39}{70}[/tex]
The expression of 20-31 gives us the distance between the numbers 20 and 31 write a similar expression for the distance between -5 and -15 and simplify it.
Answer:
After simplifying, our answer is 10
Step-by-step explanation:
20-31 gives the distance between 20 and 30
Now, for -5 and -15
The similar expression to write will be -5-(-15)
Simplifying this, we have;
That would be -5+15 = 10
There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?
A) Permutation
B) Combination
C) Circular permutation
The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 and 5. A larger triangle has side lengths of 9 and x + 1.
Answer:
x = 14
Step-by-step explanation:
As the triangle was dilated, all its sides increased by the same ratio.
So, as one side was 3 and then increased to 9, the ratio is:
ratio = 9 / 3 = 3
So, using this same ratio for the other side given, we can find the value of x.
The larger side of length x+1 is 3 times greater than the small side of length 5:
x + 1 = 3 * 5
x + 1 = 15
x = 14
Answer:
C: 14
Step-by-step explanation:
A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1099 inches
Step-by-step explanation:
We know that formula for volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi 5^2*14[/tex]
[tex]V=\pi 25*14[/tex]
[tex]V=\pi 350[/tex]
[tex]V=3.14*350[/tex]
[tex]V=1099[/tex]
Answer:
1099
Step-by-step explanation:
What is the value of 98.84 divided by 14?
Answer:
7.06
Step-by-step explanation
i just searched for calculator put in the problem
Hope that helps :)
