Answer:
Pierre has £ 146 and
Alex has £ 106
Step-by-step explanation:
Let the money with Pierre be = p
Let the money with Alex = a
If Pierre gave Alex £20, they would have the same amount.
So, we should subtract £ 20 from p and add £ 20 to a
p - 20 = a + 20
p = a + 20 + 20
p = a + 40 ----------------(I)
If Alex gave Pierre £22, then Pierre would have twice as much as Alex.
p + 22 = 2*(a -22)
p + 22 = 2a - 44
p = 2a - 44 - 22
p = 2a - 66
p -2a = - 66 -----------------(II)
Substitute p = a + 40 in equation (II)
a + 40 - 2a = -66
a - 2a + 40 = -66
-a = - 66 - 40
-a = - 106
Multiply both sides by (-1)
[tex]\boxed{a = \£ \ 106}[/tex]
Substitute a = 106 in equation (I)
p = 106 + 40
[tex]\boxed{p = \£ 146}[/tex]
whats reciprocal of 4 1/4
Answer:
4 4/1
Step-by-step explanation:
we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.
Answer:
4×4=16
16+1=17
=4/17
step-by-step explanation:
since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator
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 :)
Please help meeeeeeeeeee
6x^3 - 15x^2 - 3x / 3x
simplify the polynomial
Answer:
6x³ - 15x² - 1
3x divided by 3x is 1
So, here we are to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]
We can simplify it as,
[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionThere 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:
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
PLEASE HELP WITH MATH!!
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.
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
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:
Please help me????22pts
Answer:
[tex]\mathrm{1 \dfrac{ 1 }{ 6 }\:cups}[/tex]
Step-by-step explanation:
Given from the graph:
There is [tex]\frac{1}{2}[/tex] cups of paint for one jar
There are 3 cups of paint for three jars
There is 1 [tex]\frac{1}{2}[/tex] cups of paint for one jar
There is 2 cups of paint for one jar
total amount of jars = 6
But since we need to find the amount of cups in each jar, we do:
[tex]\dfrac{ 1 }{ 2 } +3+1 \dfrac{ 1 }{ 2 } +2[/tex]
Add [tex]\frac{1}{2}[/tex] and 1 [tex]\frac{1}{2}[/tex]
[tex]2+3+2[/tex]
Add 2 and 3
[tex]5+2[/tex]
Add 5 and 2
[tex]7[/tex]
total cups of paint = 7
Then we need to find how much paint could be splitted equally among the 6 jars, so we do the following:
total amount of jars = 6
total cups of paint = 7
We divide the total amount of jars by the total cups of paint
7 ÷ 6
Divide 7 by 6
[tex]\dfrac{ 7 }{ 6 }[/tex]
[tex]= 1 \dfrac{ 1 }{ 6 }[/tex]
[tex]\mathrm{Answer: 1 \dfrac{ 1 }{ 6 }\:cups}[/tex]
Which statements describe how the cardiovascular system and the respiratory system work together?
Select all that apply.
The cardiovascular system provides gases to the respiratory system to help it function.
The respiratory system provides oxygen used in the cardiovascular system.
The respiratory system provides nutrients and energy to the cardiovascular system.
The cardiovascular system provides the respiratory system with what it needs to function.
The respiratory system and the cardiovascular system are intertwined in the sense that the respiratory system provides oxygen used in the cardiovascular system.
What is the respiratory system?The respiratory system is the syetem that coordinates gaseous exchange in the body while the cardiovascular system is the system that deals with the circulation of gases in the body.
The cardiovascular system and the respiratory system work together in the following ways;
The respiratory system provides oxygen used in the cardiovascular system.Learn more about the respiratory system: https://brainly.com/question/9904853
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
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) .Please answer #3, I’ll give brainliest to the best answer
Answer:
23/42 or 0.547619048
Steps are given below in the picture
I hope my answer helps you.
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.
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
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
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]
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
25/22 as a decimal rounded to the nearest hundreth
Answer:
1.14
Step-by-step explanation:
Long division! Image attached below!
Helppp
For triangle ABC below, find missing side length BC and both missing angle measures
Answer:
3
Step-by-step explanation:
use the pythagoreum therory
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!
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:)
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
:)
Kira ran 8 1/5 miles in 69 7/10 minutes. What is Kira’s average time per mile?
Answer:
1 mile = 8.5 minutes
Step-by-step explanation:
Determining the equation:
Kira ran 8 1/5 miles in 69 7/10 minutes.
⇒ Kira = 8 1/5 miles = 69 7/10 minutes
⇒ 41/5 miles = 697/10 minutes
Simplifying both sides:
⇒ 41/5 miles = 697/10 minutes
⇒ 41 miles = 697/2 minutes
Using cross multiplication:
⇒ 41 × 2 miles = 697 minutes
⇒ 82 miles = 697 minutes
Dividing 82 both sides:
⇒ 82 miles = 697 minutes
⇒ 82/82 miles = 697/82 minutes
⇒ 1 mile = 8.5 minutes
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).
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;
https://brainly.com/question/15980493
Which steps could be part of the process in algebraically solving the system of equations, y 5x = x2 10 and y = 4x – 10? select two options. y = x2 5x 10 y 5x = x2 10 4x – 10 0 = x2 – 9x 0 = x2 – 9x 20 one x-value of a solution to the system is 4.
Answer:
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x² + 10
(4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
0 = x2 – 9x + 20 (liked terms are grouped and simplified)
PROOF: 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Step-by-step explanation:
hope this helps
Answer:
D,E
Step-by-step explanation:
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]