Mathematics Middle School

Solve the system and give your answer as a coordinate point in the form (k, c) k+c=100 51k+11c=2500

Answers

Answer 1

Answer:

k = 35, c = 65

Step-by-step explanation:

Solve the following system:

{c + k = 100 | (equation 1)

{11 c + 51 k = 2500 | (equation 2)

Swap equation 1 with equation 2:

{11 c + 51 k = 2500 | (equation 1)

{c + k = 100 | (equation 2)

Subtract 1/11 × (equation 1) from equation 2:

{11 c + 51 k = 2500 | (equation 1)

{0 c - (40 k)/11 = -1400/11 | (equation 2)

Multiply equation 2 by -11/40:

{11 c + 51 k = 2500 | (equation 1)

{0 c+k = 35 | (equation 2)

Subtract 51 × (equation 2) from equation 1:

{11 c+0 k = 715 | (equation 1)

{0 c+k = 35 | (equation 2)

Divide equation 1 by 11:

{c+0 k = 65 | (equation 1)

{0 c+k = 35 | (equation 2)

Collect results:

Answer: {c = 65 , k = 35

Related Questions

Which is the graph of y = RootIndex 3 StartRoot x EndRoot? On a coordinate plane, a cube root function goes through (negative 6, 2), has an inflection point at (2, 0), and goes through (10, negative 2). On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, negative 2), and goes through (8, negative 4). On a coordinate plane, a cube root function goes through (negative 8, 0), has an inflection point at (0, 2), and goes through (8, 4). On a coordinate plane, a cube root function goes through (negative 10, negative 2), has an inflection point at (negative 2, 0), and goes through (6, 2).

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

According to the 2019 census data, the population of Texas was about 2.5 x 10^7 people. The land area of Texas is about 2.6 x 10^5. What was the average number of people per square mile in 2010?

a. 0.96 x 10^2
b. 9.6 x 10^1
c. 0.96 x 10^35
d. 9.6 x 10^12

Answers

Finding people/square mile

There are x number of people in y area.  To find x number of people in a single unit of area, divide by area.

\(\frac{(2.5 * 10^7) }{(2.6*10^5)}\)

2.5/2.6 = 0.96

10^7

____  subtract exponents, so 10^2

10^5

answer is (a) 0.96 x 10^2

The answer should be C.

Which of the following points are on the line given by the equation y = 2x Check all that apply

Answers

Answer:

Step-by-step explanation:

If answer choices are given, please share them.

We could make up our own table:

 x    y = 2x

-----  ---------

 0        0

 -1        -2

  5        10

... and so on

Answer:

Need a picture

Step-by-step explanation:

Need help with this please thx

Need help with this please thx

Answers

Answer:

13

Step-by-step explanation:

30.7-17.7

I'm going to ask this question again because no one really explained it to me 'clearly.' So if you could do that it would be much appreciated! I'll also give u a brainly <3
Question: What is the value of r.

I'm going to ask this question again because no one really explained it to me 'clearly.' So if you could

Answers

R=8.3144598(48)j•mol^-1•k^-1.
r+ √2r +2 √2=（2+2）√2

r=1.17

In each equation, select an operation to make the equation true by making the operation happen where the question mark appears.



PLEASE HELP ME

In each equation, select an operation to make the equation true by making the operation happen where

Answers

Answer:
The first one is +
The second one is x (multiply)
The third (I am not sure)
Forth is a - (minus)
Fifth is a - (minus)
And last (I am not sure)
Sorry
What is the questions it's wroooooooooon

please help!
Try to solve the equation below.
2x^2+18=10
Explain why this equation has no real number solutions.

Answers

Answer:

Step-by-step explanation:

The discriminant of this equation, i.e, D=\(b^{2}-4ac\) is less than 0:

D= 0-(4*2*18)   --> which is clearly negative

When D is less than 0, the equation has no real number solutions.

Therefore, \(2x^{2}+18=0\) has no real roots

Answer:

Step-by-step explanation:

0 has no roots so thats one, and im just trying to complete a challenge so sorry if im wrong :( but make other person brainliest they did good job :)

Raj is saving up for a video game system that costs $200. He gets $5.50 every hour for washing cars. He has saved up $68. How many hours does Raj need to work to earn the remainder of the money he needs to buy the video game system?

Answers

Answer:

Step-by-step explanation:

200-68 divided by 5.50= 24

$200-$68 equals $132 then divide $132 by $5.50 to get 24 hours

Please answer all questions and number your answers.

Please answer all questions and number your answers.
Please answer all questions and number your answers.
Please answer all questions and number your answers.
Please answer all questions and number your answers.
Please answer all questions and number your answers.

Answers

3(x+4)=3x+12.
5(z+6)=5z+30
9(2n+1)=18n+9
4s+2s=6s
6(s-9)=6s-54


Verified answers
6 (s - 9)

6s + 6 *- 9

6s - 54

The first person was right

Can you solve this for me? Thank you! :>

Can you solve this for me? Thank you! :&gt;

Answers

39.12$
Because
9.78 x 4 = 39.12$
Good luck
Can you solve this for me? Thank you! :>

What is the angle made by the hour hand and the minute of the clock at 8:57

Answers

Answer:

85 degrees

Step-by-step explanation:

The answer to that is 87,5 degrees

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

Which of the following examples has a unit rate of 32 miles per hour? Select all that apply.

A) 123 miles in 3 hours
B) 96 miles in 3 hours
C) 288 miles in 9 hours
D) 66 miles in 2 hours
E) 310 miles in 10 hours

Which of the following examples has a unit rate of 32 miles per hour? Select all that apply.A) 123 miles

Answers

Answer: b,c

Step-by-step explanation:

123/3=41

96/3=32

288/9=32

66/2

310/10=31

Answer:

Step-by-step explanation:

Comment

This is a good question to estimate the answer. That will get rid of the ones you don't have to check - maybe.

123 miles in 3 hours = 123/3 = 40 about    Too far away. Not answer

96 miles  in 3 hours = 100 / 3 = 33 about. This is one you should check.

288 miles in 9 hours = 270/9 = 30 about. Another one to check

66 miles in 3 hours = 66/2  = 33      Not right.

310 miles in 10 hours = 310/10 = 31  Not right

Some of these do not need to be rounded to get the answer. If the division is the same as the question and it does not come to 32 then it will not be included in the answer.

B gives 32 miles / hour. B is one of the answers

C gives 32 miles / hour. C is one of the answers.

Answer

B and C

please help, must be turned in by tuesday.

please help, must be turned in by tuesday.

Answers

(a) 1/2x3.5x4
(b) 1/2x4x3
(c) ans x3
(d) ans +(1/2x3.5x4)

Answer:

Number A will be 0.5*3.5*4

Number B will be 0.5*3*4

Number C will be x*3

Number D will be x+ the value of 0.5*3.5*4

Here, x stands for the answer of the question/equation

Hope this helped!

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?

-Yes, y = 2x.
-Yes, y = 20x.
-No, y = x + 10.
-No, y = x + 20.

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y,

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes y=20x

Step-by-step explanation:

Because each time the number on the y axis goes up 20.

At an amusement park you get five points for each bull’s eye you hit, but you loose 10 points for every miss. After 30 tries, Yolanda lost 90 points. How many bull’s eyes did she hit?

Answers

she hit 21 bull’s eyes.

Answer:

21

Step-by-step explanation:

14 bull's eyes (or hits) and 16 misses.  

The 14 hits earned her five points each, or a total of 70 points.  

The 16 misses cost ten points each, or a total of 160 points lost.  

14 + 16 = 30  

70 - 160 = -90  

SOLUTION:  

points = 5H - 10M = -90 where H = hits and M = misses  

tries = H + M = 30 therefore  

H = 30 - M  

and 5(30 - M) - 10M = -90  

150 - 5M -10M + 90 = 0  

240 -15M = 0  

15M = 240  

M =16  

H = (30 - M) = 16

7th grade math I'll give brainliest

7th grade math I'll give brainliest

Answers

Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

7th grade math I'll give brainliest
7th grade math I'll give brainliest

Pls help ASAP! Screenshot

Pls help ASAP! Screenshot

Answers

Answer:

13/25

Step-by-step explanation:

probability of an event = # times event has happened / total number of events

probability of someone liking potato chips or pretzels = # of people who like potato chips or pretzels / # total number of people

# of people who like potato chips or pretzels = # people who like potato chips + # people who like pretzels (this works because the two groups don't overlap)

(12+14)/50 = 26/50 = 13/25 = B

Your answer would be b

Select the correct answer.

What is the frequency for the interval 86–88 in this histogram?


80, 82, 83, 83, 84, 85, 85, 85, 86, 87, 87, 88, 88, 88, 87, 86, 87, 88




A.

2

B.

6

C.

10

D.

12

Select the correct answer.What is the frequency for the interval 8688 in this histogram?80, 82, 83, 83,

Answers

Answer:

84-85

Step-by-step explanation:

you out them in order from greatest to least

82 83 __ __ 86 87 88

^ ^

84 85

i hope this work for you

Frequency for the interval 86 - 88 in the given histogram is equals to 10.

What is frequency?

" Frequency is defined as the representation of occurrence of any particular event repeatedly in fixed time interval."

According to the question,

Given histogram shows,

Students with weight between 80 - 82 = frequency 2

Students with weight between 83 - 85 = frequency 6

Students with weight between 86 - 88 = frequency 10

10 students are there having weight between 86 - 88 pounds.

Hence, Option(C) is the correct answer.

Learn more about frequency here

https://brainly.com/question/5102661

#SPJ2

someone help me with this

someone help me with this
someone help me with this

Answers

Answer:

Step-by-step explanation:

Math.nowplsansweribeglol

Math.nowplsansweribeglol

Answers

Answer:

B. 70

Step-by-step explanation:

The (-5) (7) (-2) just shows (-5) times 7 times (-2). And once you do that, you get postive 70.

The scale of the architectural drawing is 2 inches = 5 feet. If a building is 10 inches wide on the drawing, how wide will it be in real life?

A
35 feet


B
20 feet


C
30 feet


D
25 feet

Answers

Answer:

The answer is D!

Step-by-step explanation:

Firs you have to do 10 divided into 2, the answer is 5. Now you have to do 5 x 5 that will get you 25. So D is the answer! (25 feet)

If you have any question ask me please! :)

D is the correct answer please rate! :)

Help me please this is due in 4min

Help me please this is due in 4min

Answers

Answer:

3 Ib = 48 oz

16,000 lb = 8T

Step-by-step explanation:

so if you want to get 48 multiply 3 by 16

And if you want to get 8 divide 16,000 by 2000

:> I need hep with this math thingyyyyyyyyyyyy

:&gt; I need hep with this math thingyyyyyyyyyyyy

Answers

A. 65 degrees F
Explanation:
to find the mean, add all numbers in the data set and divide the sum by how many numbers there are. using this formula, you get 65.

Answer:

65 is the answer

Step-by-step explanation:

17+39+29+81+87+99+103=455= A). 65

I hope this helps.

WILL MARK BRAINLIEST Triangle KON is dilated with a center at the origin and a
scale factor of 2 to form triangle K'O'N'.
What are the coordinates of K'?
A.6,0
B.0,-4
C.0,6
D.9,0

WILL MARK BRAINLIEST Triangle KON is dilated with a center at the origin and ascale factor of 2 to form

Answers

the answer is c: 0,6
your answer should be c. 0,6

Please answer the picture

Please answer the picture

Answers

Answer:

a

Step-by-step explanation:

5q +5q= 10q

Answer:

5q +5q= 10q

Step-by-step explanation:

Consider the situations in the table below
Situation A: A hang glider descended 33.57 feet, and then ascended 14.98 feet.
Situation B: A football team gained 7 2/5 yards in one play, and then lost 3/5 of a yard in the next play.
Situation C: A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.
Situation D: A worker earned $23.66 Monday and spent $15.84 Tuesday.

Calculate the sum of each situation. Order the situations from least to greatest based on the numeric value of the sums.

Answers

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Step-by-step explanation:

Can someone help me and tell me what this is I dont get it

​

Can someone help me and tell me what this is I dont get it

Answers

Answer:

of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one

so:

a greater

b greater

c less

D greater

e equal

f less

g equal

Answers in bold:

P to Q:  greater than 1P to R:  greater than 1Q to S:  less than 1Q to R:  greater than 1S to P: equal to 1R to P:  less than 1P to S:  equal to 1

========================================================

Explanation:

We have these three rules for scale factors

scale factor > 1,  enlarge the image0 < scale factor < 1,  shrink the imagescale factor = 1, the preimage and image are identical

With those rules in mind, we have enlargements for these transformations.

P to QP to RQ to R

All of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.

In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.

----------------

We also have these reductions

Q to SR to P

This is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.

----------------

And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.

P to SS to P

The order doesn't matter for this subset, but the order will matter for the other batches of transformations.

Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.

Answers

Answer:

Step-by-step explanation:

you are completely right please follow your heart <3

It’s actually D.

You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.

When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
Please Help ASAP! Rewrite x^4y^2 3x^3y^3 using a common factor.A. 3xy(x^3y x^2y)B. 3xy^2(x^2 x^2y)C.
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