Answer:
-2
Step-by-step explanation:
if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]
the -4 and +4 cancel out to 0
and 1-7= -6
-6/3 is -2
Which expression is equivalent to (3 the square root of 2^5)^1/4
A- 2 5/12
B- 2 12/5
C- 2 2/20
D- 2 3/4
Simplify: Square root 25ab^6 help please
Answer:
5 b^ 3 √ a
Step-by-step explanation:
Break up the radicand up into a product of known factors assuming positive real numbers.
I need the answer for this ASAP
Answer:
Y is cookies x is cupcakes
for the first birthday party: 20x + 40y = 61
For the second party 30x + 30y = 64.50
There aren't any other constraints
20x + 40y = 61
30x + 30y = 64.50
Step-by-step explanation:
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ?
Answer Ben plays video games for 1 1/2 hours per day for the 3 days
Step-by-step explanation:
He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.
Let D = #hours per day Ben plays, then
3D = 4 1/2
3D = 4.5
D = 4.5/3
D = 1.5
What is equivalent to 10/100
Answer:
1/10
Step-by-step explanation:
10/100
Dividing both sides by 10
10 ÷ 10/100 ÷ 10
1/10
Hence,
10/100 is equivalent to 1/10
Answer:
Decimal: 0.1 (One tenth)
Fraction: 1/10
Percentage: 10%
Step-by-step explanation:
For decimal that would be 10% out of 100% which is what 10/100 is as a percentage. The fraction would have the numerator and denominator divided by 10.The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.
I Hope this Helps
Example of binomial to polynomial
With a complete solution
Answer:
A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .
A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.
It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next layer contains three logs, and so on; each layer containing one more log than the layer on top of it. There are 190 logs. Can all the log be used in such a grouping, and if so, how many logs are in the bottom layer?
Answer:
Yes all of the logs can be used in such a grouping.
We'll have 19 logs in the bottom row (and have 19 rows)
========================================================
Explanation:
Let n be the number of layers. Let T(n) represent how many logs there are total.
If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula
T(n) = 0.5*n*(n+1)
---------------
For example, let's say we wanted to find how many logs there were in the fifth layer
T(n) = 0.5*n*(n+1)
T(5) = 0.5*5*(5+1)
T(5) = 15
This matches from earlier.
The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.
-------------------
T(n) = 0.5*n*(n+1)
190 = 0.5*n*(n+1)
190*2 = n(n+1)
380 = n^2+n
0 = n^2+n-380
n^2+n-180 = 0
Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.
If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.
----------
Check:
1+2+3+4+5+6+7+8+9+10 = 55
11+12+13+14+15+16+17+18+19 = 135
55+135 = 190
Or you could say,
T(n) = 0.5*n*(n+1)
T(19) = 0.5*19*(19+1)
T(19) = 190
Either way, the answer is confirmed.
The polygons are similar. Find the value of each variable.
[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]
[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]
[tex]\\ \sf{:}\dashrightarrow x=6[/tex]
#y
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]
[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]
[tex]\\ \sf{:}\dashrightarrow y=8[/tex]
Here we go
4/x=6/94/x=2/32/x=1/3x=6And
y/12=12/1818y=12²18y=144y=8IF the domain is {0, 2, -6}, what is the range of y=-2x+3?
Answer:
Range is {3,-1, 15}
Step-by-step explanation:
Answer:
{3, -1, 15} is the range.
Step-by-step explanation:
Phil must lay concrete down for his back patio and
purchased 23 cubic feet of concrete, what are possible
dimensions of the patio slab? Select all that apply.
Answer:
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?
Step-by-step explanation:
I HOPE THIS HELPS
a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)
Answer: equation: y = 2.5x + 46
slope: 2.5
y intercept: 46
she will be 8 months old by the time she is 66 cm
Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.
y = 2.5x + 46
66 = 2.5x + 46
20 = 2.5x
8 = x
I need help asap
Please help me!!
contains ordered pairs
Answer:
which question ?
Step-by-step explanation:
1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:
x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1
The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
Learn more on linear equation here: https://brainly.com/question/18176080
a room that needs to be tiled is 12 1/2 feet wide by 14 feet long. tiles that mesure 2x2 are $0.79 per tile. Tiles that measure 3x3 are 1.25 per tile. which size tile should be used for this project to save the most money? How many tiles would be needed? How much would you spend on them? HELP PLEASE!
Answer:
Step-by-step explanation:
Area of the room is 12.5(14) = 175 ft²
2x2 tiles are 4 ft²
175 /4 = 43.75 tiles so 44 will be needed
44($0.79) = $34.76
3x3 tiles are 9ft²
175/9 = 19.4444... so 20 will be needed
20($1.25) = $25.00
the larger tiles will cost $9.24 less than the smaller tiles.
Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.
Evaluate - 1 - ( - z ) where z = -2
Answer:
-3
Step-by-step explanation:
To solve you replace the -z with 2 because the -2=z not -z. With the z in parenthesis being negative it basically means invers so you would put the invers or opposite of -2 in the parentheses.
-1-(2)
-1+-2
=-3
The value of the expression -1 - (-z) where z = -2 is -3.
How to determine the value of the expressionTo evaluate the expression -1 - (-z) where z = -2, follow these steps:
Replace z with -2 in the expression:
= -1 - (-(-2))
Simplify the double negative:
= -1 - (2)
Perform the subtraction:
= -3
So, the value of the expression -1 - (-z) where z = -2 is -3.
Learn more about Evaluate
https://brainly.com/question/29170041
#SPJ3
I need help asap! Pls :)
Answer:
Step-by-step explanation:
6x + 10 + 2x + 26 = 180
8x + 36 = 180
8x = 144
x = 18
−4x − 10x what is the answer??????
Answer:
-14x
Step-by-step explanation:
21.
2 poin
A student received the following grades last semester. Find the student's
semester grade point average.
Credits
Course
Statistics
Physics
Sociology
Literature
Tennis
Grade Points
A 4.0
A 4.0
B 3.0
B 3.0
D 10
1
Answer:
4.8
Step-by-step explanation:
add all values and divide it by 5
The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4
Answer:
Game #1B is the correct answer i guess so
someone actually help :((( need to finish exam before 12 !!
f(x)=17,000(0.87)x
The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table.
x| 0| 1| 2| 3| 4| 5|
g(x)| 21,000| 18,690| 16,634.10| 14,804.35| 13,175.87| 11,726.52|
How much more will the SUV be worth than the car 5 years after their model years? Round your answer to the nearest cent.
Using the exponential function, it is found that the SUV is worth $3,253.36 less than the car after 5 years.
The exponential function for the value of the SUV, after x years, is given by:
[tex]f(x) = 17000(0.87)^x[/tex]
Hence, after 5 years, the value is:
[tex]f(5) = 17000(0.87)^5 = 8473.16[/tex]
From the table, after 5 years, the car is worth $11,726.52.
11726.52 - 8473.16 = 3253.36.
The SUV is worth $3,253.36 less than the car after 5 years.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25983065
evaluate the expression when b=3/10 and x= -2/15
3x-b
Answer:
3x - b
3 (-2/15) - 3/10
-6/15 -3/10
-60/150 - 45/150
- 105/150
If 9 − 3x < 54, then which of the following must be true?
F.
x < 15
G.
x > 21
H.
x < 21
J.
x < ‒15
K.
x > ‒15
If 9 − 3x < 54 then the following x > -15 must be true.
Inequalities is an expression used to show the non equal comparison of two or more variables.
Given the inequality:
9 − 3x < 54
Subtracting 9 from both sides of the equation:
9 - 3x - 9 < 54 - 9
-3x < 45
Dividing both sides of the equation by -3:
-3x/-3 < 45/-3
x > -15
If 9 − 3x < 54 then the following x > -15 must be true.
Find more on inequality at: brainly.com/question/241541
I need some help please
The answer is A.
A negative x a negative equals a positive so the square root of a negative value cannot be a negative value.
solve the system using substitution 4x+3y=23 x-5=0
Answer:
y=1, x=5
Step-by-step explanation:
Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5
Now we have a value for x, so plug x into the original equation,
4(5)+3y=23,
20+3y=23
Subtract both sides by 20
20-20+3y=23-20
3y=3
dvide both sides by 3
y=1
use the value for x we got earlier
y=1, x=5
it took ken 2/8 hour to finish a puzzle ken told his mom how long it took with the fraction in simplest form how many hours did ken tell his mom
Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.
Answer:
Step-by-step explanation:
Not near enough information to know.
I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)
The pool shape is important as well. No mention of the shape
If the pool is circular and the walkway is 3 ft wide
the fence encloses a diameter of 110/π = 35 ft
so the diameter of the pool would be 35 - 2(3) = 29 ft.
POOL IS RECTANGULAR from comments
If the pool is square and the walkway is 2 ft wide, each side of the fence is
110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.
There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.
Edit from comments
Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.
Let's say that we are told the pool is 12 ft wide with 2 ft walkway.
Let L be the pool length
110 = 2(12 + 2(2)) + 2(L + 2(2))
110 = 32 + 2L + 8
70 = 2L
L = 35 ft
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.
Answer:
B
Step-by-step explanation:
A phone company is offering several different prepaid data plans.
Prepaid Single Phone Plan Prepaid Family Plan
$30 for 1 GB $30 for 1 GB
$35 for 6 GB $40 for 6 GB
$45 for 16 GB $50 for 16 GB
$65 for Unlimited Data $70 for Unlimited Data
Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answer:
Step-by-step explanation:
[tex]\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}[/tex]
The answer is 5/9 as you can see. 5/9 = 20 inches each.
1 yard = 36 inches
(5/9 * 36) = 5 * 4 = 20 inches.
Answer:
5/9
Step-by-step explanation:
I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser
So what I did was multiply the 3 by the diviser(3) and got 9
This left me with 5/9
