3a-2b=14. 3a+2b=28
..​

Answer:

1st Option;

j = 4.5

k = 2

Step-by-step explanation:

Let's solve for "j" first:

=> We know that by the definition of midpoint segment theorem we can say;

3j = 5j - 9

0 = 5j - 3j - 9

0 = 2j - 9

0 + 9 = 2j

9 = 2j

9/2 = j

4.5 = j

=> Now that we have j-value we use the same method to solve for k-value;

6k = k + 10

6k - k = 10

5k = 10

k = 10/5

k = 2

Therefore;

j = 4.5

k = 2

So the first option would be correct!

Hope this helps!

Answer:

0.344

Step-by-step explanation:

i cant show reasoning its just 1.6 times 0.215

Answer: 360

Step-by-step explanation: Anytime it asks for the exterior sum it will always be 360

Answer: 70.77 or 71 if rounded up

Step-by-step explanation:

Add all the scores then divide to 18.

Answer:

16

Step-by-step explanation:

Answer:

Answer is in the pic I promise nothing bad

Step-by-step explanation:

In scientific notation, the number 6,267,000 is expressed as 6.267 × 10⁶, where the coefficient is 6.267 and the power of 10 is 6.

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The first step is to move the decimal point to the right or left so that only one nonzero digit remains to the left of the decimal point. In this case, we can move the decimal point six places to the left, as follows:

6,267,000 ⇒ 6.267000

Since we moved it six places to the left, the power of 10 will be positive 6.

Finally, we write the number in scientific notation using the coefficient and the power of 10:

6.267000 × 10⁶

6.267 × 10⁶

In scientific notation, the number 6,267,000 is expressed as 6.267 × 10⁶.

Learn more about the Scientific Notation here :

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Answer:

the one already selected

Answer:

The one selected

Step-by-step explanation:

Answer:  Slope: -1/2  

Step-by-step explanation:  To find slope take 2 points that lie on the line and use this formula to solve:   I will use (0, -2) and (2, -3) to solve

                                                                       ↑    ↑           ↑   ↑

y2 - y1                                                             x1  y1          x2  y2

-----------

x2 - x1

So, for this question, substitute the x and y values from the points above to solve.

-3 - (-2)      

----------- =  - 1/2

2 - 0

Hope this helped. :)

Answer:

23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.

Step-by-step explanation:

___________Plan I___ Plan II ___Neither

Ages 26–35__ 19_____ 14_______ 17

Ages 36–45__ 14 _____28_______ 8

Ages 46–55__ 27 _____21_______ 2

Total Number who prefer plan 1 = (19 + 14 + 27) = 60

Number in the 36 - 45 age group = 14

Percentage = 14 / 60 = 0.2333 = 23%

Number of people in the 46-55 age group = (27 + 21 + 2) = 50

Number on the age group who prefer plan II = 21

Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.

Answer:

24

Step-by-step explanation:

8 correct for every 2 wrong

multiply both sides by 3

24 correct and 6 wrong

which adds up to 30

Answer:

y=-2x

Step-by-step explanation:  

You could find the slope of line going through the points (2,-4) and (-1,2). It is

slope is -6/3 or -2

So the line is

Now plug in one of the points and the slope into point slope form and find the line

y+4=-2(x-2) or

y+4=-2x+4 so

y=-2x

Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.

-4=-2(2)

2=-2(-1)

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

Answer:

look at the picture i sent......

Answer:

the two numbers are six and four

Step-by-step explanation: 6+4=10    6x4=24

Answer:

sorry don't know what the answer is

Answer:

D. 18

Step-by-step explanation:

12.50 x 18 = 225

hope it helps :)

Answer:

(-3‚1) lies in second quadrant.

Answer:

6912 bushels

Step-by-step explanation:

The increase is 3 bushels per acre.

For 2304 acres, the increase is

2304 acres * 3 bushels/acre = 6912 bushels

Answer:

[tex]b. (x + 10)(x + 1)[/tex]

[tex] {x}^{2} + 11x + 10[/tex]

[tex]x(x + 10) + x + 10[/tex]

factor out x from the expression

[tex]x(x + 10) + x + 10[/tex]

factor out x +10 from the expression

[tex](x + 10)(x + 1)[/tex]

then its the answer

i hopenit helps , even though it was just my.....own opinion .....answer

Answer:

lower quartile - 38

upper quartile - 59

maximum - 62

median - 46.5

minimum - 32

I hope this help. Have a great day!

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

STEP 1: (1/3 : 1/6) = 2/1 = 2

STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75

STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375

(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2

(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4

(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4

Therefor your answer is A 13/4 OR 1 and 3/4: )

Hope this helps!

Sorry for all the steps but those steps will help you!

-Hailey: )

(nothing is copied or pasted!!!!!)

Answer: WELL WE GO BY 150 METERS AND THAT ADDS TO TIME BUT BUT GOING TWICE YOU GET 150 METER IN ALL

Step-by-step explanation:

Three statements that always hold true are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

The true statement about positive and negative numbers are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

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