Step-by-step explanation:
The absolute value of any equation can never be negative.
|4x - 2| = -6 has a negative value -6.
The |4x - 2| = -6 has no solution for x because |x| can not be negative.
Graph the solution to this inequality on the number line.
12x−3<−138
Answer:
Step-by-step explanation:
1. Solve
12x-3+3<-138+3 <=== Add three to both sides to simplify the inequality
12x÷12<-135÷12 <=== divide by 12 on both sides so we can find what x is so that we can graph the inequality
x<-11.25 <=== negative divided by positive is always negative
2. Graph
1) you find -11.25 on the number line
2) you put an ray with an empty/hollow circle facing towards the negative side
Three times a number increased by two
times another number equals 28. Two
times the first number increased by
three times the second number equals
27. Find the two numbers.
Answer:
r={21}
Step by Step Explanation:
PREMISES
Two times three plus a number, say, r=27
ASSUMPTIONS
Let r=the number
CALCULATIONS
The numerical expression “two times three plus a number r=27” can be denoted as:
(2×3)+r=27
6+r=27
6–6+r=27–6
0+r=27–6
r=21
PROOF
If r=21, then the equations
(2×3)+r=27
6+21=27 and
27=27 prove the root (zero) r=21 of the statement (2×3)+r=27
PREMISES
Two times three plus a number, say, r=27
ASSUMPTIONS
Let r=the number
CALCULATIONS
The numerical expression “two times three plus a number r=27” can be denoted as:
(2×3)+r=27
6+r=27
6–6+r=27–6
0+r=27–6
r=21
PROOF
If r=21, then the equations
(2×3)+r=27
6+21=27 and
27=27 prove the root (zero) r=21 of the statement (2×3)+r=27
Answer:
5 and 6
Step-by-step explanation:
let the 2 numbers be x and y , then
3x + 2y = 28 → (1)
2x + 3y = 27 → (2)
multiplying (1) by 2 and (2) by - 3 and adding will eliminate x
6x + 4y = 56 → (3)
- 6x - 9y = - 81 → (4)
add (3) and (4) term by term to eliminate x
0 - 5y = - 25
- 5y = - 25 ( divide both sides by - 5 )
y = 5
substitute y = 5 into either of the 2 equations and solve for x
substituting into (1)
3x + 2(5) = 28
3x + 10 = 28 ( subtract 10 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
The 2 numbers are 6 and 5
Edwin sells jars of jam for $1.20 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $0.80 and fixed expenses are $42,500.00 per year. (2 points)
17,000
21,250
98,170
106,250
2.
(05.01 MC)
Haven Baskets manufactures 61,755 woven baskets each year. Determine the minimum sales price Haven Baskets must sell each basket for to break even, if the total annual fixed costs are $562,795.00 and the variable cost per basket is $15.25. (2 points)
$22.90
$24.36
$29.97
$33.25
3.
(05.01 LC)
Jaslyn makes 443 wooden frames per month. Calculate her monthly profit if she sells each frame for $28.99, has fixed monthly expenses of $3,692.00, and has variable expenses of $9.15 per frame. (2 points)
$4,876.50
$5,097.12
$5,124.56
$5,190.87
4.
(05.01 MC)
Luca owns a pool cleaning business. Luca wants to have a monthly profit of $6,135.00 with 45 customers, fixed monthly expenses of $2,345.00, and variable expenses of $16.90 per pool. Determine how much Luca needs to charge per customer to reach his profit goal. (2 points)
$154.32
$175.89
$199.87
$205.34
5.
(05.01 LC)
Rafi Smiles produces custom greeting cards. The company has fixed monthly expenses of $5,750.00 and variable expenses of $0.80 for each card they make. Determine the company's ROI if they are able to make 4,175 cards per month and charge $4.50 per card. Round the final answer to the nearest hundredth. (2 points)
94.00%
94.01%
106.36%
106.68%
The number of jars of jam that has to be sold in order to break even is 106,250.
The minimum sales price is $24.36.
The monthly profit is $5,097.12.
The price per customer is $205.34.
The ROI is 106.68%.
What is the breakeven point?
Breakeven quantity = fixed cost / price – variable cost per unit
$42500 / (1.2 - 0.8) = 106,250
What is the minimum sales price?
Minimum price = (fixed cost / breakeven sales) + variable cost
($562,795.00 / 61,755) + $15.25 = $24.36
What is the profit?
Profit = revenue - total cost
Revenue = 443 x 28.99 = $12,842.57
Total cost = $3692 + (9.15 x 443) = $7,745.45
Profit = $12,842.57 - $7,745.45 = $5097.12
What is the price?
Price = (profit + total cost) / number of customers
Total cost = $2,345 + (16.90 x 45) = $3,105.50
($6,135.00 - 3105.50) / 45 = $205.34
What is the ROI?
ROI = (profit / cost of the investment) x 100
Cost = fixed cost + variable cost
$5,750 + (0.80 x 4175) = $9090
Profit = total revenue - cost
(4.5 x 4175) - 9090 = $9,697.50
ROI = $9,697.50 / $9090 = 106.68%
To learn more about profit, please check: https://brainly.com/question/26181966
A study claims that the average home sale price in Kansas is less than the average home sale price in Missouri. The average sales price for 35 home sales in Kansas is $240,993 with a standard deviation of $25,875. The average home sales price for 37 homes in Missouri is $249,237 with a standard deviation of $27,110. At the (alpha) a= 0.10, is there enough evidence to reject the study’s claim?
Complete a full hypothesis test for the following. Include the hypotheses, critical
value(s), test value and graph, your decision to reject or not reject, and a summary of
the information
Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.
Null and Alternative HypothesisData;
sample mean x1 = 240993population standard deviation σ1 = 25875sample size n1 = 35sample mean x2 = 249237population standard mean σ2 = 27110sample size n2 = 35significance level α = 0.10H_o = μ1 = μ2
H_o = μ1 ≠ μ2
This is a two-tailed test and population standard deviation will be used.
Test StatisticThe z-stat is
[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]
The significance level is α = 0.1 and the critical value for a two-tailed test is
[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]
Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.
Learn more on null hypothesis here;
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25/22 as a decimal rounded to the nearest hundreth
Answer:
1.14
Step-by-step explanation:
Long division! Image attached below!
There are 70 days in ten weeks.
Based on the mean from the sample, how many more guests will stay at the small hotel than at the bed and breakfast in a 10-week period?
Using proportions, it is found that 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
What is a proportion?A proportion is a fraction of a total amount.
At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:
S = 7.75 x 70 = 542.5
At the bed and breakfast, the mean was of 3.25 guests per night, hence:
B = 3.25 x 70 = 227.5.
The difference is given by:
S - B = 542.5 - 227.5 = 315.
Hence, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
More can be learned about proportions at https://brainly.com/question/24372153
Answer: Look at the attachment
Step-by-step explanation:
can someone help me with this queston
Step-by-step explanation:
1) option A OR B AS THEY ARE THE SAME
2) option a
Answer: question 1 is b
Question 2 is a
Step-by-step explanation: hope it helps
in question 1 a and b are the same so choose this or this
For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0". 47, 31, 84, 50, 68, 85, 67, 56
Answer:
Mean: 54
Median: 61.5
Mode: 0
Range: 54
Step-by-step explanation:
Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)
Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5
Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)
Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)
If you want to identify the mode of a set of data, which of the following graphical displays is best?
Answer:
Histogram (Please tell me if you disagree, Have a great day:)
If AB is translated right 5 units and down 2 units, what are the coordinates of A', the image of point A?
Answer:
(1,0)
PLEASE mark me brainliest!!
Answer:
1, 0
Step-by-step explanation:
Think carefully about the angle relationship the following represents.
What is the value of x?
Think carefully about the angle relationship the following represents.
What is the value of x?
48
66
24
33
Item at position 2
2
1 point
Item at position 2
Based on your value of x in question #1, what is the value for \angle EHF∠EHF
Based on your value of x in question #1, what is the value for \angle EHF∠EHF
132 degrees
96 degrees
180 degrees
90 degrees
Item at position 3
3
1 point
Item at position 3
Think carefully about the angle relationship the following represents.
What is the value of x?
Think carefully about the angle relationship the following represents.
What is the value of x?
90
20
12
5/2
Item at position 4
4
1 point
Item at position 4
Think carefully about the angle relationship the following represents.
What is the value of \angle ZXY∠ZXY?
Think carefully about the angle relationship the following represents.
What is the value of \angle ZXY∠ZXY?
29 degrees
55 degrees
90 degrees
20 degrees
Item at position 5
5
1 point
Item at position 5
Think carefully about the angle relationship the following represents.
What is the value of x ?
Think carefully about the angle relationship the following represents.
What is the value of x ?
42
18
26
5
Item at position 6
6
1 point
Item at position 6
Think carefully about the angle relationship the following represents.
What is the value of \angle JML∠JML?
Think carefully about the angle relationship the following represents.
What is the value of \angle JML∠JML?
180 degrees
90 degrees
100 degrees
126 degrees
Answer:
See below ↓↓↓
Step-by-step explanation:
Subquestion #1
These angles form a linear pairThey are supplementary, and add up to 180°2x + 48 = 1802x = 132x = 66Subquestion #2
These angles are complementary, and add up to 90°35 + 4x + 7 = 904x + 42 = 904x = 48x = 12Subquestion #3
As in #1, they are a linear pair, and are supplementary3x + 54 = 1803x = 126x = 42#1
Linear pair[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]
[tex]\\ \rm\Rrightarrow x+24=90[/tex]
[tex]\\ \rm\Rrightarrow x=66[/tex]
#2
Complementary angles[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]
[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]
[tex]\\ \rm\Rrightarrow 4x=48[/tex]
[tex]\\ \rm\Rrightarrow x=12[/tex]
4x+7=4(12)+7=55°#3
[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]
[tex]\\ \rm\Rrightarrow 3x=126[/tex]
[tex]\\ \rm\Rrightarrow x=42[/tex]
please find the area of the shaded region. EFGH is a square
using the similar triangles below, solve for x !
Answer:
Step-by-step explanation:
Remarks.
This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.
63/(8x - 2) = 49 /42
Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions
Proportion
63/(8x - 2) = 49 /42
Solution
63/(8x - 2) = 49 /42 Cross Multiply
(8x - 2)*49 = 63 * 42 Combine the right.
(8x - 2)*49 = 2646 Divide by 49
8x - 2 = 54 Add 2 to both sides
8x -2+2=54+2 Combine
8x = 56 Divide by 8
8x/8 = 56/8
Answer: x = 7
What is the difference between the two fractions explain in full detail. Type out answer
Answer:
Step-by-step explanation:
There is no difference between the two fractions. I can show you this in the following way, assuming you understand the distributive property. We can write the fraction -7/2 in the following way:
[tex]-\frac{7}{2} =-1(7*2^-^1)[/tex]
Hopefully you agree with me that we can bring the 2 into the numerator if we switch the signs of the exponent. And hopefully you agree that a negative sign is equivalent to multiplying by -1. Therefore, this negative 1 can distribute to the 7 or the 2. It really does not matter. To sum this up:
[tex]-\frac{7}{2} =\frac{-7}{2} =\frac{7}{-2}[/tex]
When ranking candidates running for office, describe how it would or would not be possible for a voter to give two people the same rank.
It would be possible to give two people the same rank, as it is always possible to have a tie-breaker vote if two candidates are ranked the same by all voters.
It would be possible to give two people the same rank, as there are so many votes generated during the election that one vote giving two people the same rank would not make a difference.
It would not be possible to give two people the same rank, as ranking candidates means that one and only one candidate is given a specific rank.
It would not be possible to give two people the same rank, as the reason candidates are ranked is to make sure there are no ties.
Answer:
I believe it is Option C.
Step-by-step explanation:
There has only been one single tie since the passing of the 12th Amendment. It is a very low chance for a possible tie to take place, so they would have no reason to ensure it doesn't happen as it's already unlikely, ruling out option D. Giving two people the same rank would definitely make a difference as you are basically adding not 1, but two votes. Though it would even the count out, each person would gain 1 point, so it would make a difference. Option B is ruled out. This also potentially explains debunking A as there's no possible way to plan a tie to that extent. Again. ties happen very rarely, so it would be unlikely that voting for both candidates would impact the choice at all.
find x for -3+x=2(x+3)
Answer:
x = -9
Step-by-step explanation:
find x for -3 + x = 2 (x+3)
-3 + x = 2 (x + 3) <== distribute
-3 + x = 2x + 6 <== subtract 1x from both sides
-x -x
-3 = x + 6 <== subtract 6 from both sides
-6 -6
-9 = x or x = -9
Hope this helps!
Given Equation :
[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]
Solution :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]
Using Distributive property for the right side we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2x+ 6 }}} \\ \\[/tex]
Now, subtracting 2x from both sides we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x - 2x =2x - 2x + 6 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3- x = 6 }}} \\ \\[/tex]
Now, Adding 3 to both sides we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3 + 3- x = 6 + 3 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad- \: x = 9 }}} \\ \\[/tex]
Now, Multiplying both sides by (-1) we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (- 1)(- x) = ( - 1)9 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = - 6 }}} \\ \\[/tex]
Therefore,
The value of x is (-9) .1. Look at the sequence in this table.
n
1
2
3
4
On
5
an
а.
-1
1
3
5
7
Which function represents the sequence?
+ 1
A. a = 8,-1
B. a = 8,-1
+1
1+2
+ 2
n
a
c. a, = 2a,-1-1
a
D. a = 2a-,-3
-1
n
,
n
n1
option (C) is correct
Step-by-step explanation:[tex]a_1=-1-\infty[/tex]
[tex]a_2=1-2[/tex]
[tex]a_3=3[/tex]
[tex]a_4=5[/tex]
[tex]from \ (1)\ and\ (2)[/tex]
[tex]a_2=2(-1)-1=-1[/tex]
[tex]ie.,\ a_2=2(a_1)-1[/tex]
[tex]so,\ a_n=2a_n_-_1-1[/tex]
[tex]Answer:option\ (C)\ is\ Correct[/tex]
I hope this helps you
:)
Find the volume of this triangular prism.
Step-by-step explanation:
To find volume of triangular prism the formula is : 1/2 base× height × length
so,1/2 × 7cm × 6cm × 10cm
420cm³/2
= 210cm³
What is Three-fourths divided by one-sixth?
Answer:
[tex] \frac{9}{2} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \div \frac{1}{6} [/tex]
[tex] \frac{3}{4} \times \frac{6}{1} [/tex]
[tex] \frac{18}{4} [/tex]
[tex] \frac{9}{2} [/tex]
Divide fractions:-
[tex]\displaystyle\frac{3}{4} :\frac{1}{6}[/tex]
Multiply the 1st fraction times the reciprocal of the 2nd fraction (flop the second fraction over) :-
[tex]\displaystyle\frac{3}{4} *\frac{6}{1} =\frac{3*6}{4*1}=\frac{18}{4}[/tex]
[If necessary, divide the top & bottom by 2, and you'll have 9/2]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
A. 113 cm²
B. 133 cm²
C. 133.14 cm²
D. 113.13 cm²
Step-by-step explanation:
Surface area of cone = πr ( l + r)
= 22/7 × 4 (5+4
= 88/7 × 9
= 792/7
= 113.14 cm²
Answer:
D. 113.13 cm^2.
Step-by-step explanation:
I am assumming you want the surface area of this cone.
This = area of base + area of the curved side
= π r^2 + π r L
= 4^2 π + 4*5 π
= 113.13 cm^2.
HELP PLEASE I HAVE A TIME LIMIT
the net for a pentagonal prism has 7 regions and 10 vertices. use Euler's formula to find the number of segments
Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
What is the Euler's Formula?The Euler's formula is given as, F + V = E + 2, where:
F = number of faces (number of regions)V = verticesE = number of edges (number of segments).Given that the pentagonal prism has the following dimensions:
F = 7V = 10E = number of segments = ?Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
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what is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0
Answer:
435
Step-by-step explanation:
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0= 435
Answer:
the answer is: 435
Step-by-step explanation:
Find the mean and the median of this data: 9, 6, 5, 3, 28, 6, 4, 7.
Answer: 9 is mean and median is 6
Step-by-step explanation:
4x+y=17
7y=4x-9
Please show work!
I'm very desperate right now for this answer!
Answer:
x=4
y=1
Step-by-step explanation:
4x=7y+9
4x+y=17
7y+9+y=17
8y=17-9
8y=8
y=1
so
4x=7*1+9
4x=16
x=16/4
x=4
PLS HELP- WILL GIVE BRAINLIEST!!
Answer:
b = 4 mm
Step-by-step explanation:
[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]
Hope this helps
Answer:
The missing leg measures b = 4 millimeters in length.
Step-by-step explanation:
The Pythagorean theorem should be used to find the missing leg measure.
The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.
Let's use the Pythagorean theorem now that a = 3 and c = 5.
a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.
3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.
9 + b^2 = 25
b^2 = 16 - Take 9 off both sides or subtract.
square root of b^2 = square root of 16 - Take the square root of both sides of the equation.
b = 4 - Simplify
The missing leg measures b = 4 millimeters in length.
The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?
Answer:
breadth does it 9 feet
12 feet
How do you write 950% as a fraction, mixed number, or whole number?
Create an equation to solve.
Answer:
x = 80 - 54
Explanation:
The whole angle is 80 degrees, and the other part is 54 degrees, so subtract 54 from 80 to get the other part (x).
Solve for xx. Round to the nearest tenth, if necessary.
sin U= |TS| / |US|
-> |US| = |TS| / sinU
-> x= 0.6 / sin 37°
-> x≈1,0
Please help me with this
254.47cm^2
Step-by-step explanation:
A= pi x 3x3
= 9pi
x2 (there is 2 circles)
18pi
C=pi x D
= pi x 6
= 6pi
Width of rectangle wrap perfectly around the circle, so the circumference of 6pi will become the width of the rectangle
Rectangle:
A=lxw
= 10.5 x 6pi
= 63pi
Add up:
63pi + 18pi = 81pi
81pi = 254.469.....
Round to nearest 100th would be 254.47cm^2
(100th is 1/100= 0.01)
Hope this helps!