Simplify the rationalising the denominators
Your answer will be 2+\sqrt{3} will be your answer
A $1200 television is on sale for 30% off. If sales tax is 5.75%,what will be the total price of the television?
The total price of the television is $888.3
Three friends each bought two slices of pizza and a drink at the mall. if drinks cost $0.75 and the total of their order was $11.25,how much did one pizza cost?
3t - 18 = 4(-3 - 3/4t)
3t - 18 = 4(-3 - 3/4t)
Use distributed to remove parenthesis right side
3t-18= -12-3t
Add 3t by 3t
3t+3t-18=-12
6t-18=-12
Add 18 to both sides
6t=-12+18
6t= 6
Divide 6 both sides
6t/6=6/6
Solved
T=1
Answer:
its t=1
Step-by-step explanation:
Choose the best definition for the following phrase: combining like terms A letter that holds the place for some unknown value in mathematics A process where you must look for terms that have identical variable parts and then combine their coefficients A process where if two things are equal, one can be put in the place of the other and nothing will change Terms that have identical variable parts
the answer is terms that have identical variable parts
I say it is the last one. I say that because it has the word Terms in it. I don't know for sure tho....
Which sentence can represent the inequality 2.4(6.2-x)> - 4.5
A.Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths.
B.Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
C.The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths
D.The product of six and two tenths minus a number and two and four tenths is at minimum negative four and five tenths
Answer:
The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths
Step-by-step explanation:
2.4(6.2-x)> - 4.5
6.2 can be written as 6 and 2 tenths
2.4 can be written as 2 and 4 tenths
4.5 can be written as 4 and 5 tenths
6.2 -x represents difference of six and 2 tenths and a number
multiplied with 2 and four tenths
Greater than can be represented as not less than negative 4 and 5 tenths
The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths
The Answer is C. The difference of 6 and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths
ANSWER ALL OF THEM!! PLEASE!
12) if x is 0, then it lies on the y-axis. If y is 0, then it lies on the x-axis.
a) (0, 4) lies on y-axis
b) (-2, 0) lies on x-axis
c) (3, 0) lies on x-axis
d) (0, -1) lies on y-axis
13) multiply each of them out and add them together. You will see that the first and last terms cancel, leaving you with the middle terms which each have a coefficient of 3.
3[xy(y - x) + yz(z - y) + xz(x - z)]
14) x³ - x
= x(x² - 1)
= x(x - 1)(x + 1)
15) Using synthetic division for 5x⁴ - x³ - 2x² + x + 9 ÷ x - [tex]\frac{1}{2}[/tex]
0.5 | 5 -1 -2 +1 +9
| 0.5 2.75 0.875 0.5625 0.78125
5.5 1.75 1.125 1.5625 9.78125
Remainder is: 9.78125
16) TRUE. This is known as the Triangle Angle Sum Theorem
17) Separate into two triangles, use Heron's formula to calculate the area for each triangle, then find their sum.
ΔABC: s = (6 + 7 + 9)/2 = 11, A = √(11)(5)(4)(2) ≈ 21
ΔCDA: s = (12 + 15 + 9)/2 = 18, A = √(18)(6)(3)(9) ≈ 54
ΔABC + ΔCDA: 21 + 54 = 75 cm
18) 3√45 - √125 + √200 - √50
= 9√5 - 5√5 + 10√2 - 5√2
= 4√5 + 5√2
2 3/5 ×5/6 = what does it equel
4 x 4 x 4 cardboard box is going to be filled with colored one by one by one blocks one red block is placed into the corner of the box next the least number of orange blocks are used to completely hide the red block from view then the least number of yellow blocks are used to hide the orange blocks from view at this point how many blocks have been placed into the box
16x 4 = 64 so thats the volume
What is the value of d?
−5.5(d−2)=−12.1
answer: [tex]d = 4.2[/tex]
explanation:
[tex]-5.5(d-2)=-12.1[/tex] | distribute the -5.5 into the parentheses
[tex]-5.5d + 11 = -12.1[/tex] | subtract 11 and move it over to -12.1
[tex]-5.5d = -23.1[/tex] | divide by -5.5
[tex]d = 4.2[/tex] | final answer
hope this helps! ❤ from peachimin
-5.5(d - 2) = -12.1
-5.5d + 11.0 = -12.1 distributed -5.5 on the left side
-11.0 -11.0
-5.5d = -23.1
[tex]\frac{-5.5d}{-5.5} = \frac{-23.1}{-5.5}[/tex]
d = 4.2
Answer: d = 4.2
8+4a+6.2-9a simplify expression
8 + 6.2 + 4a - 9a
(8 + 6.2) + (4 - 9)a
14.2 - 5a is your answer.
Answer:
Well,[tex]8+4a+6.2-9a[/tex] has like terms. The simplified expression would just be these like terms combined.
First, let's combine [tex]8[/tex] and [tex]6.2[/tex]
[tex]8+6.2=14.2[/tex]
[tex]4a-9a+14.2[/tex]
Now, combine the other two monomials.
[tex]4a-9a=-5a[/tex]
[tex]-5a+14.2[/tex] would be your answer.
Remember: Some terms can't be combined. For example, [tex]4a[/tex] and [tex]8[/tex] cannot be added together, due to the [tex]a[/tex] in [tex]4a[/tex]. These are not like terms. But [tex]4a[/tex] and[tex]-9a[/tex] are, and can indeed be combined.
(5a^2bc^3) × (1/5abc^4)
Your answer would be a3b2c7
A seal diver dives when it sees a whale. The seal dives for 5 seconds at an average rate of 3.5 meters per second.
a. Write an addition expression to represent how far the seal diver dives in 5 seconds. Find the sum.
(-3.5)+(-3.5)+(-3.5)+(-3.5)+(-3.5) =
b. Write a multiplication expression to represent how far the seal dives in 5 seconds. Find the product.
Final answer:
To find the depth of the ocean using the travel time of a signal and the speed of sound in seawater (1450 m/s), multiply the travel time (here, 2.5 seconds) by the speed of sound and then divide by two, as the signal travels the distance twice. In this case, the depth would be 1812.5 meters.
Explanation:
To calculate how deep the ocean is at a given point where a ship sends out a signal and receives it back after a certain time, you need to use the speed of sound in water and the time it takes for the signal to travel to the ocean bottom and back. Since the signal travels the distance twice, the depth can be found by dividing the total distance traveled by two.
Let's consider the example where the signal returns after 2.5 seconds. With the speed of sound in sea water being 1450 m/s, the total distance covered by the sound wave is the product of the speed of sound and the time taken which is 1450 m/s * 2.5 s. However, since this distance is the round trip, to find the depth of the ocean at that point, we need to divide the result by 2.
The calculation will look like this:
Speed of sound in seawater = 1450 m/sTime for signal to return = 2.5 secondsTotal distance traveled by the sound wave = 1450 m/s * 2.5 s = 3625 metersDepth of the ocean = Total distance traveled / 2 = 3625 meters / 2 = 1812.5 metersA construction company wants to hire carpenters for $220 a day and plumbers for $260 a day. The company wants to hire at least 18 workers. It wants to pay no more than $4500 each day.
Can the company hire 6 carpenters and 12 plumbers? Explain.
Answer:
Step-by-step explanation:
Yes the company can hire 6 carpenters and 12 pumbers
So first lets find out how much it costs to have 6 carpenter for $220 a day.
$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day.
Now lets find how much it cost to 12 plumbers at $260 a day.
$260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.
The total amount you have to pay to the workers is:
$3120 + $1320 = $4440
Your budget was $4500 so the total costs for the workers is $4440 which means you can hire those workers and you would still have $60.
The construction company can hire 6 carpenters and 12 plumbers as the total cost of $4440 is within the $4500 budget, and the total number of workers hired is 18, meeting both the company's requirements.
Explanation:The construction company wants to hire at least 18 workers and does not want to exceed a daily budget of $4500. To determine if the company can hire 6 carpenters and 12 plumbers, we must calculate the total cost of hiring these workers for a day. The cost C for hiring carpenters and plumbers can be represented by the equation C = 6($220) + 12($260), where $220 is the daily wage for a carpenter and $260 is the daily wage for a plumber.
Let's calculate the total cost:
Carpenters' cost = 6 carpenters x $220/carpenter = $1320Plumbers' cost = 12 plumbers x $260/plumber = $3120Total cost = Carpenters' cost + Plumbers' cost = $1320 + $3120 = $4440The total number of workers would be 6 carpenters + 12 plumbers = 18 workers, which meets the requirement of hiring at least 18 workers. Since the total cost of $4440 is also within the $4500 budget, the company can indeed hire 6 carpenters and 12 plumbers.
Daniel is paid $10 per week for selling newspaper subscriptions. He is also paid $3.50 for each new customer (x) that signs up for the subscription. Which equation represents the amount (y) Daniel earns per week?
If a+b=-2 And x+y= -2 what is 4x+5a+4y+5b?
a + b = -2
x + y = -2
4x + 5a + 4y + 5b = 4x + 4y + 5a + 5b = 4(x + y) + 5(a + b)
substitute
4(-2) + 5(-2) = -8 - 10 = -18
What is the radius of a 50 unit decagon
Math is my worst subject lol can I get some help
The graph below shows the number of minutes played and the points scored per game for several professional basketball players.
Based on the line of best fit, approximately how many minutes would a person have played if they scored 30 points? ALL OF MY POINTS TO RIGHT ANSWER!
the correct answer is A) 45 minutes
Answer:
Option A, 45 minutes.
Step-by-step explanation:
In the graph attached line of the best fit passes through two points (27, 14) and (36, 22).
These are the points which are not the scatter points but lying on the line.
Let the equation of the line be y = mx + c
Where m = slope and c = y-intercept.
Since slope m = [tex]\frac{y-y'}{x-x'}[/tex]
= [tex]\frac{22-14}{36-27}[/tex] = [tex]\frac{8}{9}[/tex] = 0.88
This line passes through another point on x-axis (11,0).
So equation passing through (11,0) will be
0 = (0. 88) × 11 + c
c = -9.68
Finally equation of the line will be
y = 0.88x - 9.68
Now we have to find the time at which scored 30 points.
By putting y = 30 in the equation
30 = 0.88x - 9.68
x = [tex]\frac{39.68}{0.88}[/tex] = 45
Option A is the answer.
david bought 26 box of crayons for 38.48 how much did he pay for each box of crayons?
1.48 because 38.48÷26 is 1.48
all you need to do is divide the numbers. 38.48 divided by 26 is $1.48. To check if this is correct multiply $1.48 by 26 and you will get 38.48.
glad I coud help :)
A swimming pool and deck are built in a rectangle with length 40ft and width 18ft.If the pool itself is 320 square feet,what is the area of the deck itself?
Calculate total area by multiplying the length by the width:
40 ft x 18 ft = 720 square feet total.
Now subtract the area of the pool:
720 - 320 = 400 square feet for the deck.
3. There are about 1.61 kilometers in 1 miles. Let x represent a distance measured in kilometers and y represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distances measured in miles.
We have been given that there are about 1.61 kilometers in 1 miles.
Let x represent a distance measured in kilometers and y represent the same distance measured in miles.
We can set two equations from the given information as:
[tex]x=\frac{1}{1.16}*y[/tex] (Number of kilometers in terms of number of miles)
[tex]y=1.61*x[/tex] (Number of miles in terms of number of kilometers)
Therefore, [tex]x=\frac{1}{1.16} y[/tex] and [tex]y=1.61*x[/tex] will be our equations.
To relate a distance measured in kilometers and miles, two equations can be written: y = 1.61x and x = 0.62y.
Explanation:To write equations that relate a distance measured in kilometers and the same distance measured in miles, we can use the conversion factor between kilometers and miles. Based on the given information, 1 mile is equivalent to 1.61 kilometers. So, the first equation would be: y = 1.61x, where x represents the distance in kilometers and y represents the distance in miles. To find the equation in the opposite direction, we can use the inverse of the conversion factor, which is 1 divided by 1.61. So, the second equation would be: x = 0.62y.
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The doubling time of a city’s population is 22 years. How long does it take for the population to quadruple?
A) 4 Years
B) 44 Years
C) 22^4
D) 2^22
Explain the answer.
The time it takes for a city's population to quadruple, given a doubling time of 22 years, is 44 years since quadrupling requires two doublings of the population.
The question asks about the time it will take for a city’s population to quadruple given that its doubling time is 22 years. To find the time it takes for the population to quadruple, we need to understand that quadrupling the population means doubling it twice. Since the doubling time is 22 years, we simply need to multiply this time by 2 to get the time for the population to quadruple.
Therefore, the correct answer is 44 years (B). This is because:
First doubling: 22 years
Second doubling (to quadruple): 22 + 22 = 44 years
what is f(2) when f(x) = 3x+4
f(x) basically means the function of x, which is y.
How to solve.The question wants you to find f(2), so substitute 2 for x in the problem.
f(2) = 3(2) + 4
Multiply 3 and 2.
f(2) = 6 + 4
Add 6 and 4.
f(2) = 10
The value of f(2) for the given function is 10.
The given function is f(x) = 3x+4.
We need to find the value of the given function for f(2).
What is the function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Now, to find f(2):
Replace variable x by 2 and find the value of f(2).
That is, f(2)=3(2)+4=10
Therefore, the value of f(2) for the given function is 10.
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Julie currently has $200 in her savings account and plans to start saving $10 each week. Briana has $1000 in her account but plans on spending $15 each week. After a certain number of weeks they will have the same amount in their accounts. How much money will each have in her account at this time? A) $32.00 B) $520.00 C) $680.00 D) $775.00
Answer:
the answer is B, as 200+10 over and over and 1000-15, causing them to meet at 520
Julie will have $520.00 and Briana will also have $520.00 in their accounts after 32 weeks.
Explanation:Let's represent the number of weeks as x. Julie starts with $200 in her account and saves $10 each week, so the amount in her account after x weeks is given by the expression 200 + 10x. Briana starts with $1000 in her account and spends $15 each week, so the amount in her account after x weeks is given by the expression 1000 - 15x. To find out when they will have the same amount, we set the two expressions equal to each other and solve for x:
200 + 10x = 1000 - 15x
25x + 200 = 1000
25x = 800
x = 32
After 32 weeks, both Julie and Briana will have the same amount in their accounts. To find out how much money each will have, we substitute the value of x into one of the expressions. For example, using Julie's expression, we have:
Amount in Julie's account after 32 weeks = 200 + 10(32) = 200 + 320 = $520.00
Therefore, Julie will have $520.00 in her account after 32 weeks, and Briana will also have $520.00 in her account.
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chris rented a truck for one day. there was a base fee of $16.95, and there was an additional charge of 87 cents for reach mile driven . chris had to pay $229.23 when he returned the truck . for how many miles did he drive the truck
Please help and show work!!! Find the line perpendicular to y=-1/4x+7 and goes through the point (1,1).
Solve for s.
0.5s+1=7+4.5s0.5s+1=7+4.5s
Answer:
[tex]s=-1.5[/tex]
Step-by-step explanation:
Given the equation :
[tex]0.5s+1=7+4.5s[/tex]
the first step is to put all the terms with the variable we want to solve for on one side of the equation, in this case I will put all the terms with [tex]s[/tex] on the right side, and all the independent terms on the left side.
[tex]1-7=4.5s-0.5s[/tex]
Solving for [tex]s[/tex] we have the following:
[tex]-6=4s[/tex]
[tex]\frac{-6}{4} =s[/tex]
[tex]-1.5 =s[/tex]
the answer is: [tex]s=-1.5[/tex]
Explain the differences in the process of adding two rational expressions using the lowest common denominator (LCD) and adding them using a common denominator that is not the LCD. Include an example in your explanation.
When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor, add the numerators together and simplify if possible.
Explanation:When adding two rational expressions using the lowest common denominator (LCD), you need to find the smallest common multiple of the denominators and use it as the common denominator. Then, multiply the numerators of each fraction by the appropriate factor to make the denominators the same. Finally, add the numerators together and simplify if possible.
For example, if you want to add 1/2 and 3/4, the LCD is 4. Multiply the numerator and denominator of the first fraction by 2 to get 2/4. Then, add the numerators together: 2/4 + 3/4 = 5/4. However, this fraction can be simplified to 1 1/4.
What is the value of the 2 in 5,678.321
.020 because it is 2 spots behind the decimal