Answer: 50 ft long and 6.25 ft wide
Step-by-step explanation:
Which number line represents the solution set for the given inequality?
x+1 ≤-3 or-4x<-8
Answer:
x ≤-4 or x> 2
Step-by-step explanation:
x+1 ≤-3 or-4x<-8
First solve the inequality on the left
x+1 ≤-3
Subtract 1 from each side
x+1-1 ≤-3-1
x ≤-4
Then solve the inequality on the right
-4x<-8
Divide each side by -4, remembering to flip the inequality
-4x/4 > -8/-4
x > 2
Put them back together
x ≤-4 or x> 2
Closed circle at -4 and line going to the left and open circle at 2 and line going to the right
Approximate 8 + 30 Cubed to the nearest tenth
solve system of equations by using elimination method. (solve for (x,y,z) please explain the steps im so confused.
4x-y-2z=-8
-2x+4z=-4
x+2y=6
The solutions of the system of equations are:
x = -2, y = 4, z = -2
How to solve a system of equations by the elimination method?
Here we have the system of equations:
4x - y - 2z = -8
-2x + 4z = -4
x + 2y = 6
To eliminate one variable, we can add the second equation and two times the third equation, we will get:
(-2x + 4z) + 2*(x + 2y) = -4 + 2*6
Now we can simplify that so we get:
4z + 4y = -4 + 12
4*(z + y) = 8
z + y = 8/4 =2
z + y = 2
With that we can write z in terms of y.
z = 2 - y
And with the third equation we can write x in terms of y.
x = 6 - 2y
Replacing that in the first equation we get:
4*(6 - 2y) - y - 2*(2 - y) = -8
Now we can solve this for y.
24 - 8y - y +2y - 4 = -8
20 - 11y = -8
-7y = -28
y = 28/7 = 4
Now that we know the value of y we can find the values of x and z.
x = 6 - 2y = 6 - 2*4 = -2
z = 2 - y = 2 - 4 = -2
The solutions of the system of equations are:
x = -2, y = 4, z = -2
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solve for y -1/2=3/8y need help asap
-1/2 = 3/8y
Answer:
y = -4/3
answer is y= -4/3
step by step
-1/2 = 3/8y
divide both sides by 3/8 to solve for y
-1/2 divided by 3/8 = 3/8 divided by 3/8y
when you divide fractions you flip the divisor and multiply
-1/2 x 8/3 = y
-8/6 or simplified to -4/3
you can check your work by substituting your y value of -4/3 into your original equation
-1/2= 3/8y
-1/2 = (3/8) (-4/3)
-1/2 = -12/24
-1/2 = -1/2
They equal so problem solved!
select the correct graph for the function f(x) = - x - 7
Answer: the one that cross -7 and -7
Step-by-step explanation:
f(x)= -x-7
y=mx+b m is the slope and the b for y-intercept form
y-intercept (0,-7) m= -1
-1 the line go down from left to right
There are 8 cherry and 4 orange ice pops in each
box. How many ice pops are there in 6 boxes?
A. 18
B. 52
C. 72
D. 192
rewrite 17/18 and 11/12 so that they have a common denominator.
Answer: 17/18=34/36
11/12=33/36
Step-by-step explanation:
17/18 and 11/12
First find the LCM, least common multiple, of the denominators 18 and 12.
In order to do that, list the factors of 18 and 12 and find the least common factors of them excluding 1.
18: 1, 2, 3, 6, 9, 18
12: 1, 2, 3, 4, 6, 12
Notice any common small factors? Yes they are 2 and 3. Now, multiply them with 18 and 12.
18*2=36
12*3=36
Hence, LCM is 36.
17/18=(17*2)/(18*2)=34/36
11/12=(11*3)/(12*3)=33/36
A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a
40-hour work week. He plans to have three laborers at $15 per hour and four masons at $25 per hour. He'll need $3268
worth of materials and wishes to make a profit of $700. Write a mathematical statement that will give the estimated cost of
the job. Then calculate this total.
Select the correct choice below and fill in the answer box to complete your choice.
Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $
The total estimated cost is $9,768
What is the total estimated cost?The total estimated cost of the job can be found by the formula:
= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit
The total estimated cost is therefore:
= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700
= 1,800 + 4,000 + 3,268 + 700
= $9,768
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Question: Hello: )✨A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a
40-hour work week. He plans to have three laborers at $15 per hour and four masons at $25 per hour. He'll need $3268
worth of materials and wishes to make a profit of $700. Write a mathematical statement that will give the estimated cost of
the job. Then calculate this total.
Select the correct choice below and fill in the answer box to complete your choice.
Answer: Checked to see if this was right* Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $
The total estimated cost is $9,768
What is the total estimated cost?
The total estimated cost of the job can be found by the formula:
= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit
The total estimated cost is therefore:
= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700
= 1,800 + 4,000 + 3,268 + 700
= $9,768
Have an awesome day/night<3
Brandon and Kevin both made the All-State Basketball team. Brandon averaged 21.25 points per game in 16 games. Kevin averaged 20.5 points per game in 18 games.
How many more total points did Kevin score than Brandon?
Kelvin score 29 points in All-State Basketball team more than Brandon.
We are given that
Brandon averaged 21.25 points per game in 16 games which means that the mean of points made by Brandon in All-State Basketball team of 16 matches is 21.25
So, the total points made by Brandon is
21.25 × 16 = 340
Kelvin averaged 20.5 points per game in 18 games which means that the mean of points made by Kelvin in All-State Basketball team of 18 matches is 20.5
So, the total points made by Kelvin is
20.5 × 18 = 369
we can see that total score made by kelvin is more
The difference is 369- 340 = 29
Hence, Kelvin score 29 points in All-State Basketball team more than Brandon.
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Helpppp plsssss!!!!!!!!!!
Answer:
Step-by-step explanation:
a Whar grsde are u even in >:/
4. Write the numbers between the following numbers.
(a) 2,390, 340 and 2,390,345
(b) 18,851 and 19,857
(c) 4,004 and 4,010
(d) 761,681 and 761,686
(e) 624,180 and 624,185 to
Answer:
2,390
18,851
4,004
761,681
624,180
If you have two quarters, five dimes, and three pennies how much money do you have?
Answer:
2 quartes is equal to 50 cent, 5 dimes is equal to 50 cent, and 3 pennies is equal to 3 cents.
50 + 50 + 3 = 103
$1.03
Step-by-step explanation:
Hope it helps! =D
Answer:
1 dollar and 3 cents.
2 cents=0.5 dollars
5 dimes=0.5 dollars
3 pennies=0.03 dollars
$1.03
Help please. the area A of a rectangle is represented by the formula A=1w where I is the length and W is the width. write an equation that would make it easy to find the length of the rectangle
When the area A of a rectangle is represented by the formula A= lw, the formula for the length will be l = A / w.
How to illustrate the information?It should be noted that the area A of a rectangle is represented by the formula A= lw
where I is the length
W is the width
It should be noted that based on the information, we want to find the formula to solve for the length.
A = lw
Divide through by w
A/w = lw/w
l = A / w
Therefore, when the area A of a rectangle is represented by the formula A= lw, the formula for the length will be l = A / w.
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Mutiply the fractions and reduce to lowest terms 2/5 × 3/8
A.12/100=3/25
B.3/10
C.3/20
D.6/13
Answer:
3/20
Step-by-step explanation:
when multiplying fractions, you don't have to worry about changing denominators, since they will multiply together, so just multiply the numerators and denominators
2*3/5*8=6/40
Then, simplify
6/2/40/2=3/20
I STILL NEED HELP URGENTLY
The coordinates of the endpoints of
FG are F(–8,3) and G(–2,–9). Point H is on FG and divides it such that FH:GH is 1:2.
What are the coordinates of H?
The coordinates of H are (-9,-1) when H is on FG and divides it such that FH:GH is 1:2.
Section formula is employed to search out the magnitude relation within which a line section is split by some extent internally or outwardly. it's accustomed resolve the centre of mass, incenter and excenters of a triangle.Section formula is employed to see the coordinate of some extent that divides a line section change of integrity 2 points into 2 elements specified the magnitude relation of their length is m:n.Let P and alphabetic character be the given 2 points (x₁,y₁) and (x₂,y₂) severally, and M be the purpose dividing the line-segment PQ internally within the magnitude relation m:n, then kind the sectional formula for determinative the coordinate of some extent M is given by: (x , y ) = mx₂+ nx₁/m + n , my₂ + ny₁ / m + n .It is given that F(–8,3) and G(–2,–9) and ratio of FH:GH is 1:2.
The diagram of this question is given below.
Let coordinates of H be ( x , y) .
By using sections formula , we get
(x , y) = ( 1(-2) + 2(-8) / 1+2 , 1(-9) +2(3) / 1+2 )
(x , y) = ( -2 -16 / 1 +2 , -9 +6 / 1 +2 )
(x , y) = ( -18 / 3 , -3/3)
(x , y) = ( -9 , -1)
On comparing , we get x = -9 and y = -1.
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the point (3, 5) is on the graph of the function f, then the point (x, y) =
is on the graph of F-1.
let me give you a mouthful of something
the domain of f(x) is the range of its inverse, or namely the domain of f(x) is the same set as the range of f⁻¹(x), so for any (a , b) pair on the domain of f(x), there's a (b , a) on the range of f⁻¹(x).
now, that's a bit of of a mumble, but in short it means, if f(x) has a point of (3 , 5), then the graph of f⁻¹(x) has a point which is the same pair but flipped sideways, namely (5 , 3).
that's pretty much true for any function that has an inverse.
Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.
s(x) = x¹ +4x³ - 64x - 256; x+4
Answer:
Hello,
Step-by-step explanation:
[tex]x^4+4x^3-64x-256\\=x^3(x+4)-64(x+4)\\=(x+4)(x^3-64)\\-----------\\s(x)=x^4+4x^3-64x-256\\=(x+4)(x^3-4^4)\\=(x+4)(x-4)(x^2+4x+16)\\[/tex]
what are 2 common sources of income?
passive income
dividends, real estate, interest income
active income
salary, business income,
(x+5)(x-2) please solve this equation fast
[tex] \large \bf \implies{ {x}^{2} + 3x - 10}[/tex]
Step-by-step explanation:[tex](x + 5)(x - 2)[/tex]
Step 1) : Using the identity
[tex] \bf \longrightarrow{(x+a)(x+b) = x² + (a+b)x + ab}[/tex]
Step 2) : Simplify it with using the identity told earlier in step 1) .
[tex] \bf \longrightarrow(x + 5)(x - 2) \\ \\ \bf \longrightarrow{x}^{2} + (5 + ( - 2))x + (5)( - 2) \\ \\\bf \longrightarrow {x}^{2} + (5 - 2)x + ( - 10) \\ \\\bf \longrightarrow {x}^{2} +3x - 10[/tex]
Step 3) : We have got the answer in step 2) .
[tex] \large\bf \longrightarrow { {x}^{2} + 3x - 10}[/tex]
ginny wants to join a local dance club that has dance events every.there are two memberships options avaiable
Using linear functions, it is found that Ginny must attend at least 13 events to make the premier member package cost less.
What is the complete question?The complete question is given as follows:
"Ginny wants to join a local dance club that has dance events every week. There are two membership options available: Ginny may become a premier member by paying a fee of $150 per year and attend an unlimited number of dances. Ginny may become a regular member by paying a fee of $50 and then pay $8 per dance she attends. How many dances must Ginny attend such that becoming a premier member will cost less than becoming a regular member? "
What is a linear function?A linear function is modeled in slope-intercept form by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The flat fee is the intercept.The cost per dance is the slope.Hence the functions for each option are given as follows:
P(x) = 150.R(x) = 50 + 8x.Being a premier member will cost less when:
P(x) < R(x).
Hence:
150 < 50 + 8x
8x > 100
x > 100/8
x > 12.5 -> at least 13 events.
Ginny must attend at least 13 events to make the premier member package cost less.
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2x - (x + 1) = - 4 + 3(x-3)
Answer:
-1
Step-by-step explanation:
Enter a fraction that is equivalent to 4/5 with a numerator of 28.
Answer:
28/35
Step-by-step explanation:
4/5 *7/7=28/35
Answer:
pre-test
Step-by-step explanation:
(1) identifity my own strengths
interest and challenges.
[tex]1/2(4x-2)\leq 9+7x[/tex]
[tex]\cfrac{1}{2}(4x-2)\leqslant 9+7x\implies 2x-1\leqslant 9+7x\implies -1\leqslant 9+5x \\\\\\ -10\leqslant 5x\implies \cfrac{-10}{5}\leqslant x\implies {\LARGE \begin{array}{llll} -2\leqslant x \end{array}}[/tex]
le's notice that, we divided by a positive number, thus the inequality sign didn't flip.
yossi used to have a square garage with 364ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
The original length of the square garage is 19.1 ft.
The length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.
How to find original land new length of the square garage?Yossi used to have a square garage with 364ft of floor space.
Recently, built an addition to it.
The garage is still a square, but now it has 50% more floor space
Therefore,
area of a square = l²
where
l = side lengthTherefore,
364 = l²
l = √364
l = 19.0787840283
l = 19.1 ft
Therefore, the original length of the square garage is 19.1 ft.
After 50% increase in the area,
New area = 50 / 100(364) + 364
New area = 546 ft²
Therefore,
546 = l²
l = √546
l = 23.3666428911
l = 23.4 ft
Hence,
percentage increase in length = 19.1 / 23.4 × 100
percentage increase in length = 1910 / 23.4
percentage increase in length = 81.6239316239
percentage increase in length = 81. 6 %
Therefore, the length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.
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Estimate the average rate of change from x=4 to x=5 .
According to the plot, it looks like [tex]y=3.5[/tex] when [tex]x=4[/tex], and [tex]y=7[/tex] when [tex]x=5[/tex]. Then the average rate of change from [tex]x=4[/tex] to [tex]x=5[/tex] is
[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{7 - 3.5}{5 - 4} = 3.5[/tex]
Which of the following is(are) the solution(s) to 9|x-1|- -45?
OA. x=4,-6
OB. No Solution
OC. All values are solutions
OD. x=-4,6
Answer:
I think the answer is B
Step-by-step explanation:
Hope this helps
Sorry if I'm wrong
Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why.
A sample of seven admission test scores for a professional school are listed below.
11.3, 9.9, 9.6, 11.5, 9.6, 11.2, 10.6
The mean is 12.28
The mode is 9.6.
The median is 10.25.
What is the median, median and mode?Mean, median, and mode are measures of central tendency. Mean is the average of a set of numbers. Median is the number that is at the center of a dataset when the dataset is arranged in ascending or descending order. Mode is the number that occurs most frequently in a dataset.
Mean = sum of numbers / total number
(11.3 + 9.9 + 9.6 + 11.5 +9.6 + 11.2 + 10.6) / 6
= 73.7 / 6
= 12.28
The number that occurs most frequently is 9.6. It occurs twice in the dataset. 9.6 is the mode.
The median = (total number + 1) / 2
(6 + 1) / 2
= 7/2 = 3.5 digit
9.6, 9.6, 9.9, 10.6, 11.2, 11.3
(9.9 + 10.6) / 2
= 20.5 / 2 = 10.25
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The diameter of the sun is approximately 1.4x10^9 Km and the diameter of Earth is approximately 1.28x10^4 Km. About how many times Earth's diameter is the sun's diameter?
The sun's diameter as described in the task content is; ; 1.09 × 10⁵ times the earth's diameter.
This follows from the given premise that; the diameter of the sun is approximately 1.4x10⁹ Km and the diameter of Earth is approximately 1.28x10⁴ Km
By how much is the sun's diameter greater than the earth's diameter?According to the task content; The diameter of the sun is approximately 1.4x10^9 Km and the diameter of Earth is approximately 1.28x10^4 Km.
The number of times by which the sun's diameter is greater than the earth's diameter can be evaluated as follows;
= 1.4 × 10⁹/1.28 × 10⁴
= 1.09 × 10⁵
Ultimately, The sun's diameter as described in the task content is; 1.09 × 10⁵ times the earth's diameter.
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3 Given that
a:b=3:4 and b:c= 5:2
Find the ratio a:b:c
Give your answer in its simplest form.
Answer:
15 : 20 : 8
Step-by-step explanation:
Given ratios a:b = 3:4 and b:c = 5:2, you want the ratio a:b:c in simplest form.
Extended ratioThe extended ratio you want can be written only when the number of ratio units associated with 'b' is the same in both ratios. Multiplying the first ratio by 5, we get ...
a:b = 3:4 = 15:20
Multiplying the second ratio by 4 gives ...
b:c = 5:2 = 20:8
Now, 20 "ratio units" represent 'b' in both ratios, so we can combine them:
a:b:c = 15:20:8
__
Additional comment
The value we chose to represent 'b' is the least common multiple (LCM) of the values that represent 'b' in the given (reduced) ratios.
Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase the washer for $7,200 and sell its old washer for $2,500. The new washer will last for 6 years and save $1,700 a year in expenses. The opportunity cost of capital is 15%, and the firm’s tax rate is 21%.
Answer:
ysfsfdf
Step-by-step explanation:
frfrfrfrb