The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.
Answers
Answer:
The answers are :
The first number : 6
The second number : 2
The third number : 2
Step-by-step explanation:
The value of the variable x, y, and z will be 6, 2, and 2.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the numbers be x, y, and z.
The sum of three numbers is 10.
x + y + z = 10 …1
The first number minus the second plus the third is 6.
x – y + z = 6 …2
The first minus the third is 2 more than the second.
x – y = z + 2 …3
Add equation 1 and 3, we have
x + x + z = 10 + z + 2
2x = 12
x = 6
Subtract equation 2 from 1, we have
2y = 4
y = 2
Then the value of z will be
6 + 2 + z = 10
z = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
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Related Questions
1) Write an equation that can be used to solve for the missing angles. (5pts)
2) Then Solve the equation for find the value of X. (Make sure to explain or show all the steps to get full Credit)
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HELP ASAP IM BEING TIMED
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Answer:
Are you still being timed?
Step-by-step explanation:
It was 3hrs ago
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
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Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
Felicity the unicorn is in the forest. She is enjoying a delicious melon. A weasel grabs the melon out of her mouth and starts to devour it. Felicity notices that there are 16 pairs of eyes looking at the weasel. Based on the info you've been given, how many animals are in the forest right now? Type your answer in below!
Answers
Answer:
18
Step-by-step explanation:
16 pairs of eyes means there are 16 animals watching the weasel and the unicorn (assuming each of the animals has 2 eyes [a pair]). Then, you need to consider Felicity and the weasel as two more animals
Answer:
8
Step-by-step explanation:
16 divided by 2 is 8 so its 8 animals
A rectangle field has an area of 300 square meters and a perimeter of 80 meters. What are the length and width of the field?
Answers
Answer:
l + w = 40, lw = 300
l(40 - l) = 300
40l - l² = 300
l² - 40l + 300 = 0
(l - 30)(l - 10) = 0
l = 30, w = 10
The length of the field is 30 meters, and the width of the field is 10 meters.
10 is the width
30 is the length
Steel sheeting costs 2¢ per square inch. How much will David spend to build the model out of steel? Write your answer as a dollar amount.
Answers
Part I: Making the Race
Henri is Emile's younger brother and they are having a walking race. Emile can walk 2.5 meters per second whereas Henri walks 1 meter per second. Because Emile is faster, they give Henri a 45 meter head start. Emile knows Henri would enjoy winning the race, but they do not want to make the race so short that it is obvious Emile let Henri win.
1. How long should the race be so that Henri will win in a close race?
2. Describe or show your strategy on how you came up with your answer for #1.
Answers
Answer:
Step-by-step explanation:
To make the race close, the length of the race should be 450 meters.
Here's the reasoning behind the answer:
Let's first calculate how long it would take for Emile to catch up to Henri, assuming Henri starts 45 meters ahead.
The time it takes Emile to cover the same 45-meter distance is 45/2.5 = 18 seconds.
During this time, Henri would have walked a distance of 1 x 18 = 18 meters.
So, after 18 seconds, Emile will have caught up to Henri and will be 27 meters ahead of him (45 - 18 = 27).
To make the race close, we want Henri to finish just a split second before Emile. So, we can assume that Henri will finish the race just as Emile catches up to him.
Let's call the total distance of the race "d."
So, Henri will walk d meters, while Emile will walk d + 27 meters (the 27 meters is the distance Emile has to walk after catching up to Henri).
We can set up an equation to solve for d:
d/1 = (d + 27)/2.5
Solving for d, we get:
d = 450
So, the race should be 450 meters long for Henri to win in a close race.
Which answer tells you how many containers of flowers the customer bought?
I'll be giving a free heart and five star. /^._.^\
Answers
Answer: 7
Step-by-step explanation:
$38.50-$7=$31.5
$31.5/$4.50=7
hello can you all answer these 2 questions
Answers
Answer:
Number 7- +3
Number 8: slope: -4
y- intercept: +140
Step-by-step explanation:
for the first question, i picked the points (0, 2) and (-1, -1). i used the slope form y2-y1/x2-x1 or in this case -1-2/-1-0 which equals to -3/-1=3. for the second question you subtract 120-140/5-0 which equals -20/5 simplified to -4 and the y intercept is 140 because x=0
Hope this helped! :))
please help me, due soon
Answers
b-They would make 2.24$
Hope this helped
b. $2.74
Could someone please help me on this question? I need help!!
Answers
Answer:
Step-by-step explanation:
do you think you could take a closer up one then I will help you.
Lower quartile of 6 8 10 12 14 15 15 20
Answers
Answer: The lower quartile is 6
Step-by-step explanation: To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.
The sum of two consecutive numbers is fifty-five. What are the numbers? If the smallest of two even consecutive numbers is x, the equation is. Plz help quickly
Answers
Answer:
The sum of two consecutive number is 55'which is the largest number? So the numbers are 27 and 28.
Step-by-step explanation:
If we say \(x\) is the first number, then the next consecutive number will be \(x+1\).
Using this, we can make an equation.
\(x+(x+1)=55\)
\(2x+1=55\)
\(2x=54\)
\(x=27\)
And so we know that the two consecutive numbers are 27 and 28.
Hope this helps.
頑張って!
Please help with 10 through 14 I will give extra points I have 238 points so I will give you more
Answers
Answer:
12.) B
Step-by-step explanation:
12/3 is 4, and so on
Brainliest, HELP pleasee, and explain how you get your answer GOOD please.
Simplify the following proper fraction by reducing to lowest terms.
15/30
A.2
B.2 1/5
C.3/5
D.1/2
AND
Simplify the following proper fraction by reducing to lowest terms.
12/3
A.1/4
B.3
C.4
D.6
Answers
Answer:
A and B
Step-by-step explanation:
QUESTION A:
Find the GCD (or HCF) of numerator and denominator
GCD of 15 and 30 is 15
Divide both the numerator and denominator by the GCD
15 ÷ 15
30 ÷ 15
Reduced fraction:
1/2
Therefore, 15/30 simplified to lowest terms is 1/2.
Thus, option d is your answer
QUESTION B:
Find the GCD (or HCF) of numerator and denominator
GCD of 12 and 3 is 3
Divide both the numerator and denominator by the GCD
12 ÷ 3
3 ÷ 3
Reduced fraction:
4/1
Therefore, 12/3 simplified to lowest terms is 4/1 or 1/4.
Thus option a is your answer
Write an equation to represent the following statement.
33 is 15 less than k.
Solve for k.
Answers
33 is fifteen less than k
---"Is" can be a key word in this statement, meaning equals
33 = k - 15
k = 48
Hope this helps!
Answer is K = 48
the bottom of a ladder must be placed 3 feet from the wall. The ladder is 10 ft long. How far above the ground does the ladder touch the wall? please draw a picture. yes, I actually need a picture I just do.
Answers
Answer:
The distance between the top of the ladder an the ground is 9.5ft
help D:
What is the coefficient of the second term in this expression?
-3 – xz
Answers
Answer:
-1
Step-by-step explanation:
Which of the following fractions is equivalent to 10/12 ?
a. 40/48
b. 20/30
c. 4/5
d. 12/14
Answers
Answer:
a. 40/48
Step-by-step explanation:
40/48 = 20/24 = 10/12
a. 40/48
Answer: a. 40/48
Hope this helps!
Greshak Corp. reports the following revenues:
2015 $10,000,000
2016 $11,250,000
2017 $12,500,000
2018 $13,500,000
2019 $12,750,000
2020 $12,900,000
What was Greshak’s compound annual growth rate (CAGR) in revenues over the 6-year period 2015 through 2020?
Answers
Answer
around 10%
Step-by-step explanation:
perioh pooh
hope it right
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 12 17 44 27
Which of the following graphs correctly displays the data?
Answers
help me algebra are and circumference pls
Answers
So we are going to find the area of the pool.
Area of pool is = pi x r^
= 3.14 x 7^2
= 153.86 ft^2
Therefore the pool takes up 153.86 ft^2 of space.
Answer:
43.96
Step-by-step explanation:
You do 2*3.14*7
Classify the pair of angles 55 35
Answers
Answer:
A supplementary adds up to 180 degrees. It would be complementary because it adds up to 90 degrees.
Step-by-step explanation:
Answer:
A supplementary adds up to 180 degrees. It would be complementary because it adds up to 90 degrees.
Sorry had to do this for points ^ - ^
Please explain in an easy way how to evaluate the following.
Answers
Hi there!
The | | signs mean that we must make the value positive, so:
(a) | -5 + 9 | =
Solve for the inside:
| 4 | = 4
(b)
| -5 | + 9 =
Make the value positive:
5 + 9 = 14
Please help ASAP <3 Correct answer gets brainliest :3
Answers
Answer:
1. 1,016 sq. m.
2. 119 sq. m.
Step-by-step explanation:
1.
14 x 18 = 252
18 x 8 = 144
14 x 8 = 112
2 ( 252 ) + 2 ( 144 ) + 2 ( 112 )
504 + 288 + 224 = 1,016 sq m
2.
4 (7 x 5 divided by 2) + (7 x 7) =
7 x 5= 35 divided by 2 = 17.5 x 4 = 70 + 49 = 119 sq. m.
I hope this helps
sorry if i'm wrong
William is a very busy professional DJ. Last year, he worked at 10-anniversary parties and 26 other events.
What is the probability that one of the events William worked on last year, selected at random, was an anniversary party?
Write your answer as a fraction or whole number.
Answers
Answer:
hello
Step-by-step explanation:
The required probability that William worked on last year was an anniversary party is 1/ 36.
As mentioned in the quesiton,
William is a very busy professional DJ. Last year, he worked at 10-anniversary parties and 26 other events.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total sample space = 26 + 10 = 36
Number of favorable outcomes = 1
the probability that William worked on last year is was an anniversary party,
= Favorable outcome/sample space
= 1 / 36
Thus, the required probability that William worked last year is 1/ 36.
Learn more about probability here:
brainly.com/question/14290572
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What is the internal angle sum of a quadrilateral? (Hint: A quadirlateral has 4 sides.) OA) 90 OB) 180 OC) 360 OD 540
A.) 90°
B.) 180°
C.) 360°
D.) 540°
Answers
The internal angle sum of a quadrilateral is :
C. 360°
The sum of internal angles of a polygon is determined by a formula :
\( \longmapsto (n - 2) × 180° \)
where n represents number of sides.
In a quadrilateral there are four sides,
So, plugging 4 in the formula :
\((4 - 2) \times 180°\)\(2 \times 180°\)\(360°\)_____________________________
\(\mathrm{ \#TeeNForeveR}\)
Answer:
C. 360
Step-by-step explanation:
someone please help me!
Answers
Compare these three ratios using fractions.
3 to 2 5:6 8 to 12
Think about the steps you could take to compare the ratios using fractions.
The first step is to write the ratios as fractions.
The next step is to use a
to rewrite the fractions.
Finally, compare the
to help you order the ratios.
Answers
Answer:
i think it would be greatest common factor
Step-by-step explanation:
....................
Answers
Answer:
?
Step-by-step explanation: