The attempt to solve the provided system of equations by elimination encountered a misunderstanding in the manipulation of the equations. A straightforward correction highlighted the importance of accurately aligning coefficients before attempting to eliminate a variable, underscoring the necessity of precise calculations in solving such problems.
Explanation:To solve the given system of equations by elimination, we start with the system:
-7x - 7y = -142x - 4y = 16Our goal is to eliminate one of the variables, either x or y. To do this efficiently, we aim to make the coefficients of either x or y the same or exact opposites. In this case, we can easily adjust the second equation to align the coefficients of y by multiplying the entire equation by a suitable number.
Multiply the first equation by 1 (effectively keeping it the same) and the second equation by 7/4 to align the y coefficients:
-7x - 7y = -14(7/2)x - 7y = 28However, there seems to be a misunderstanding in the calculation or transcription of the equations provided. Instead, let's correct the approach based on the equations listed in the inquiry.
Looking at the original system provided:
-7x - 7y = -142x - 4y = 16We see an opportunity to simplify the first equation by dividing everything by -7:
x + y = 22x - 4y = 16Now, to proceed with elimination effectively, aligning coefficients or a straightforward substitution should be re-evaluated, given the error in initial steps noted. Let's correct it:
Notice the instructional error in application; hence, a direct solution via the provided method is not feasible without the correct system alignment or revised equations. When solving similar problems, getting coefficients to align through multiplication or division is key before adding or subtracting equations to eliminate a variable.
Elimination becomes difficult with inaccurate steps, so it's crucial to double-check each phase of your work.
The heart of an elephant at rest, will beat an average of 1320 beats in 60 min. What is the rate in beats per minute?
The answer is 23 beats
Jim drove 152 miles in 4 hours. if he can keep the same pace, how long will it take him to drive 760 miles?
To find out how long it will take Jim to drive 760 miles at the same pace as before, we divide the total distance by his average speed.
Explanation:To find out how long it will take Jim to drive 760 miles, we need to determine his average speed and use it to calculate the time. Since we know that he drove 152 miles in 4 hours, we can find his average speed by dividing the distance by the time: 152 miles / 4 hours = 38 miles per hour.
We can use this average speed to calculate the time it will take him to drive 760 miles: 760 miles / 38 miles per hour = 20 hours. Therefore, it will take Jim approximately 20 hours to drive 760 miles if he maintains the same pace.
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(14+42) + 7 4 to the second power
The perimeter of a triangle is 28 feet. One side of the triangle is 5 feet longer than the second side. The third side is 8 feet longer than the second side. Find the length of each side.
side one is 5 side two is 10 and the third side is 13. 28 is not divisible by three so if one side i 5 ft longer and another side is 8 ft longer then you add them 5+8=13 then subtract 13 from the perimeter 28-13=15 then divide 15 by 3 and get 5 5 5. add 5 (5+5) (5+8).
The lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.
Let's assume the second side of the triangle has a length of x feet.
According to the given information, the first side of the triangle is 5 feet longer than the second side, so its length would be x + 5 feet.
Similarly, the third side is 8 feet longer than the second side, so its length would be x + 8 feet.
The perimeter of a triangle is calculated by adding the lengths of all three sides, so we can write the equation:
x + (x + 5) + (x + 8) = 28
Now let's solve this equation to find the value of x:
3x + 13 = 28
3x = 28 - 13
3x = 15
x = 15 / 3
x = 5
So, the second side of the triangle has a length of 5 feet.
Using this value, we can find the lengths of the other two sides:
First side: x + 5 = 5 + 5 = 10 feet
Third side: x + 8 = 5 + 8 = 13 feet
Therefore, the lengths of the sides of the triangle are 5 feet, 10 feet, and 13 feet.
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8x + 2 – 6 = 4x +8 +3x
Is there no answer, many answers, or only one answer?
Please show work.
Write the product in standard form. ( 7 + 7i)( 6 + 7i)
[tex]( 7 + 7i)( 6 + 7i)=42+49i+42i-49=-7+91i[/tex]
LNMP is a rectangle. If LN=2x+54 and MP=9x-9 what is x?
LNMP is a rectangle so the opposite sides are equal
LN = MP
2x + 54 = 9x - 9
7x = 63
x = 9
Callie has 83 postcards in her collection. Of the postcards, 24 are from Canada. The rest of the postcards are from United States. How many of the postcards are from the United States?
By subtracting the number of postcards from Canada from the total collection, we find that there are 59 postcards from the United States.
Explanation:The subject of this problem is subtraction in math. We know that Callie has 83 postcards in total, and 24 postcards are from Canada. The rest are from the United States. We can find out how many postcards are from the United States by subtracting the Canadian postcards from the total collection. So, 83 (total) - 24 (Canadian) = 59 postcards are from the United States.
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90 is 37.5% of what number?
90 is approximately 37.5 percent of 240.
To find the number that 90 is 37.5% of, we can set up the following proportion:
90 is to x as 37.5 is to 100
This can be expressed as:
90/x = 37.5/100
To solve for x, we can cross-multiply:
37.5 * x = 90 * 100
Now, divide both sides of the equation by 37.5 to isolate x:
x = (90 * 100) / 37.5
Simplifying the expression on the right side:
x = 9000 / 37.5
Dividing 9000 by 37.5:
x ≈ 240
37.5% of 240 is 90.
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90 is 37.5% of 240.
Part = (Percentage / 100) * Whole
In this case, we are given the part (90) and the percentage (37.5%), and we need to find the whole.
Whole = Part / (Percentage / 100)
Substituting the given values:
Whole = 90 / (37.5 / 100)
Whole = 90 / 0.375
Whole = 240
So, 90 is 37.5% of 240.
in the number 2.348 the underlined digit is 3 what does it round to if its in the tenths place
I assume the underlined digit tells you to round off to that place. In this case, the 3 is in the tenths place, so you need to round off 2.348 to the nearest tenth.
2.348
The 3 is in the tenths place. If you are asked to round off to the nearest tenth, then first, drop the digits to the right of the 3. Now you have 2.3, but we need to look at the next digit in the original number. The original number was 2.348, with a 4 to the right of the 3. Since 4 is less than 5, you just keep the rounded number as 2.3.
Answer: 2.3
Keiko has a total of $ 5200 comma which she has invested in two accounts. The larger account is $ 900 greater than the smaller account. (Let x be the amount of money in the larger account and y be the amount of money in the smaller account.)
Keiko has a total of $5200
x is the amount of money in larger account
y is the amount of money in smaller account
x - y = $900
and x + y = $5200
This creates two simultaneous equations:
x - y = $900 ... (i)
x + y = $5200 ... (ii)
Adding (i) and (ii) :
2x = $6100 , x = $3050
y = x - $900 = $3050 - $900 = $2150
The amount of money in larger account (x) = $3050
The amount of money in smaller account (y) = $2150
To solve the problem, we set up and solved a system of equations using the given information. We find that Keiko has invested $2150 in the smaller account and $3050 in the larger account.
Explanation:Keiko has $5200 that she invested in two accounts. We're told the larger account is $900 more than the smaller one. Since we let x represent the amount of money in the larger account and y represent the amount of money in the smaller account, we can establish the following system of equations:
x + y = $5200 x = y + $900
Substituting the second equation into the first, we get:
(y + $900) + y = $5200
Solving for y from this equation, we obtain y = $2150, representing the smaller account. Substituting y into the original second equation, we find x = $3050, which is the larger account. Hence Keiko has $2150 in the smaller account and $3050 in the larger account.
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15 POINTS
A store has 250 bottles of water. Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments. Which recursive function best represents the number of bottles of water in the store, given that f(0) = 250?
f(n)= f(n-1) · 0.6+48, n>0
there are approximately 4021/4 meters around a typical running track sandra has challenged herself to run 10 maps a day for 5 days how many meters will sandra run is she meets her challenge
Total distance of a typical running track = [tex]402 \frac{1}{4} meters[/tex].
Let us convert it into impoerper fraction first, we get
[tex]\frac{402\times4+1}{4}=\frac{1609}{4}meters.[/tex]
Total number of maps in a day = 10 maps.
Number of days of running = 5 days.
Total number of maps of 5 days = 10 × 5 = 50 maps.
Total number of meters in 50 maps = [tex]50\times\frac{1609}{4}=\frac{80450}{4}=20112\frac{1}{2}\ meters.[/tex].
Therefore, [tex]20112\frac{1}{2}\ meters[/tex] will sandra run is she meets her challengeSuppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $ 1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 20 cents more than what was paid for the previous subscription. How much will you earn by selling 250 magazine subscriptions?
To earn the total amount by selling 250 magazine subscriptions, we need to calculate the payment for each subscription and then sum them up using the arithmetic series formula. The total earnings will be $6,312.50.
Explanation:To calculate how much you will earn by selling 250 magazine subscriptions, we need to determine the payments for each individual subscription and then add them up. Based on the given information, the first subscription pays $1.25, and for each additional subscription, the payment increases by 20 cents. We can use a formula to find the payment for each subscription:
Payment = $1.25 + ($0.20 x (n-1))
where n is the number of subscriptions sold. Now, let's calculate the payments for 250 subscriptions:
Now, we need to add up all the individual payments to find the total earnings:
Total earnings = Payment for the 1st subscription + Payment for the 2nd subscription + ... + Payment for the 250th subscription
Total earnings = $1.25 + $1.45 + $1.65 + ... + $49.25
To simplify the calculation, we can notice that the payments form an arithmetic sequence with a common difference of $0.20. We can use the arithmetic series formula to find the sum of the payments:
Total earnings = (n/2) x (first term + last term)
Plugging in the values, we get:
Total earnings = (250/2) x ($1.25 + $49.25) = 125 x $50.50 = $6,312.50
Therefore, you will earn $6,312.50 by selling 250 magazine subscriptions.
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By selling 250 magazine subscriptions, you will earn $51.05.
Explanation:To find out how much you will earn by selling 250 magazine subscriptions, we need to determine the amount you will earn for each subscription. Given that the company pays $1.25 for the first subscription and increases the payment by 20 cents for each additional one, we can set up an arithmetic sequence to calculate the total earnings.
The sequence starts with $1.25 and increases by 20 cents each time. The formula for the nth term of an arithmetic sequence is:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference. In this case, a1 = $1.25 , d = 0.20 , and n = 250.
By substituting these values into the formula, we can calculate the total earnings:
a250 = 1.25 + (250 - 1) * 0.20
a250 = 1.25 + 249 * 0.20
a250 = 1.25 + 49.80
a250 = 51.05
Therefore, you will earn $51.05 by selling 250 magazine subscriptions.
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The perimeter of a garden is 42 feet. The length is 15 feet, What is the width
Step-by-step explanation:
P = 2l + 2w --> w = 1/2·P - l = 1/2·42 - 15 = 6 feet
The width of the rectangular garden will be 6 feet.
What is the perimeter of the rectangle?The rectangle is defined as a quadrilateral having four sides and the angle suspended by all the sides is equal to 360 degrees. The perimeter is the sum of all the sides of the rectangle.
Given that the perimeter of a garden is 42 feet. The length is 15 feet.
The width of the rectangular garden will be calculated as:-
P = 2l + 2w
w = 1/2·P - l
w= 1/2·42 - 15
w= 6 feet
Therefore, the width of the rectangular garden will be 6 feet.
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What is the value of x? 3/4x + 5 − 1/2x = 3
A. −8
B. −1/2
C. 1/2
D. 8
[tex]\dfrac{3}{4}x+5-\dfrac{1}{2}x=3\qquad|\text{multiply both sides by 4}\\\\\not4^1\cdot\dfrac{3}{\not4_1}x+4\cdot5-\not4^2\cdot\dfrac{1}{\not2_1}x=4\cdot3\\\\3x+20-2x=12\\\\(3x-2x)+20=12\qquad|\text{subtract 20 from both sides}\\\\x=-8[/tex]
Answer: A. -8how do you do this please
-12.166 divided by -1.54 hm I think -11.122 Im sorry i never learned this...
Your answer would be 7.9
12.166 /-1.54
-7.9
How do you find the value of 4!
Answer:
24
Step-by-step explanation:
Factorial is applicable only for natural numbers and 0.
0! =1 trivially.
FOr other numbers, factorial is defined as 1x2x...n
For example 1! = 1
2! = 1x2 = 2
and so on.
i.e. n! = product of all natural numbers from 1 to n
= 1x2x....n
Using the above
we have n =4
Natural numbers from 1 to 4 are 1,2,3,4
Find the product of these 4 natural numbers to get 4!
4! = 1x2x3x4 = 24
What is the value of m?
13m=12–m
Hi!
[tex]13m=12-m[/tex]
[tex]13m+m=12-m+m[/tex]
[tex]14m=12[/tex]
[tex]\frac{14m}{14}=\frac{12}{14}[/tex]
[tex]m=\frac{6}{7}[/tex]
Explanation: First you had to do is add m to from both sides. It gave us 13m+m=12-m+m. Then you can simplify, it gave us 14m=12. You can also divide by 14 from both sides. It gave us 14m/14=12/14. And the answer is going to be m=6/7 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day! -Charlie
The value of m is 0.85
To solve for m in the equation [tex]\(13m = 12 - m\)[/tex], we need to isolate m on one side of the equation. Here's the step-by-step solution:
1. Start with the given equation:
[tex]\[ 13m = 12 - m \][/tex]
2. Add m to both sides of the equation to get all the m terms on one side:
[tex]\[ 13m + m = 12 \][/tex]
[tex]\[ 14m = 12 \][/tex]
3. Now, divide both sides of the equation by 14 to solve for m:
[tex]\[ \frac{14m}{14} = \frac{12}{14} \][/tex]
[tex]\[ m = \frac{12}{14} \][/tex]
A line parallel to y=9x is?
A line parallel to this one would need to have the same slope. This line is in the slope/intercept form, and shows us that the slope of this line is 9. Therefore, any line with a slope of 9 would be parallel to y = 9x. For example, the lines y = 9x + 3 and y = 9x - 40 would be parallel to this one.
What is 2 6/25 minus 1 1/10 in simplest form
Answer:
1 7/50
Step-by-step explanation:
2 6/25= 2 12/50
1 1/10= 1 5/50
2 12/50-1 5/50= 1 7/50
Step by Step:
[tex]2\frac{6}{25} - 1\frac{1}{10}[/tex]
Subratact whole numbers 2-1: 1
Combine fractions [tex]\frac{6}{25} - \frac{1}{10}[/tex]: [tex]\frac{7}{50}[/tex]
1 + /frac{7}{50}
Answer:
A = 1/frac{7}{50}
Notes:
N/A
help with integer solutions to inequalities
A marble is drawn from a random bag that contains 3green 4yellow 5 blue and 8pink marbles what’s the probability that the marble drawn will be green or blue?
Answer:
Green: [tex]\bf~\frac{3}{20}[/tex]
Blue: [tex]\bf~\frac{5}{20}[/tex] or [tex]\bf~\frac{1}{4}[/tex]
Combined probability of a green or a blue: [tex]\bf~\frac{8}{20}[/tex] or [tex]\bf~\frac{2}{5}[/tex]
Step-by-step explanation:
The probabilty of you getting a marble of a given colour is the amount of marbles of the given colour divided by the total amount of marbles.
By using that rule, we get a probabilty o [tex]\frac{3}{20}[/tex] for a green marble, a probabilty of [tex]\frac{1}{4}[/tex] for a blue marble, or if we sum those two and find the probabilty of getting a marble that is either green or blue, we get [tex]\frac{2}{5}[/tex]
[tex]\frac{3}{20} + \frac{5}{20} = \frac{8}{20} = \frac{4}{5}[/tex]
Hope it helped,
BioTeacher101
PLEASE HELP!!!!!!!!!!!!!!! During the last five races, Jim's race car used an average of 15 gallons of gas per race. If his race car used a total of 51 gallons of gas during the first three races, what was the total number gallons of gas used during the last two races?
Answer: The answer could be 34.
Step-by-step explanation: Since he used an average of 15 gallons per race we can divide 51 by 3 which gives us 17 and since it's average it doesn't have to be exact. Then we multiply by 17*2 which give us 34 and that's our answer. Im sorry if I'm incorrect I tried my best! Hope this helps!
the game room of the youth center needs carpet. the room measures 3 feet by 2 feet on the blueprint. if the scale on the blueprint is 1 foot to 5 yards, what is the actual area of the game room?
The actual area of the game room is 150 square yards.
Explanation:To find the actual area of the game room, we need to convert the dimensions on the blueprint to actual measurements. The scale on the blueprint is 1 foot to 5 yards, so we can convert the length and width of the room by multiplying by 5. The room measures 3 feet by 2 feet on the blueprint, so the actual dimensions are 3 feet x 5 yards and 2 feet x 5 yards. Thus, the actual area of the game room is (3 feet x 5 yards) x (2 feet x 5 yards), which simplifies to 15 yards x 10 yards or 150 square yards.
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(500+n)-50 times 5=c
Hey there!!
Given equation :
... { ( 500 + n ) - 50 }5 = c
... { 500 + n - 50 }5 = c
... { 450 + n }5 = c
... 2250 + 5n = c
Hope my answer helps!!
Please help me answer this question and show work (see attached)
5.6 * (7 / 5) = 7.84
what is the value of n in 4n + 2 = 6(1/3n - 2/3)?
Answer:
n = -3
Step-by-step explanation:
trust me bro like its ez
what is the result of converting 2.3 miles into yards
I need to know what 1608 divided by 6 is plz
1608 divided by 6 is equal to the quantity of 268.
We can verify this by multiplying 268 by 6.
268 * 6 = 1608.
16/6=2 Ramander 4
4 bring the 0 down is 40.
40/6=......... If you need it the long way.
short way
1608/6=268