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3 years ago

What is 9 times -11 + 17 times 11 in factored form

Mathematics

1 answer:

Rama09 [41]3 years ago

7 0

Answer:

Step-by-step explanation:

(17 * 11 = 187) + (9 * -11 = -99)

187 - 99 = 88

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Which graph shows a system of equations with no solutions?

podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

$7x - 2y = 16\\21x + 6y =24$

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

substituting the following x in 2nd equation (21x + 6y = 24) We get

$21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2$

Put y= -2 in x equation

$x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71$

Comparing these (x,y) values we can understand that they never meet at a point

4 0

2 years ago

This Stem-and-Leaf Plot shows the amount of rainfall received in centimeters in each month. What is the median of this data set?

WARRIOR [948]

Answer:

55.5 B

Step-by-step explanation:

We have the following points of data

48, 49, 50, 51, 54, 55, 56, 58, 60, 62, 63, 63

The median is the data point in the middle (when listed in order)

If we find the middle number we'll see that it's between 55 and 56. When this is the case you find the average of the two numbers (add them and divide by 2)

(55+56)/2=55.5

3 0

2 years ago

Read 2 more answers

Find S18 for geometric series given a5=-6 and a2= -48

Ganezh [65]

an = a1r^(n-1)

a5 = a1 r^(5-1)

-6 =a1 r^4

a2 = a1 r^(2-1)

-48 = a1 r

divide

-6 =a1 r^4

---------------- yields 1/8 = r^3 take the cube root or each side

-48 = a1 r 1/2 = r

an = a1r^(n-1)

an = a1 (1/2)^ (n-1)

-48 = a1 (1/2) ^1

divide by 1/2

-96 = a1

an = -96 (1/2)^ (n-1)

the sum

Sn = a1[(r^n - 1/(r - 1)]

S18 = -96 [( (1/2) ^17 -1/ (1/2 -1)]

=-96 [ (1/2) ^ 17 -1 /-1/2]

= 192 * [-131071/131072]

approximately -192

3 0

3 years ago

PUZZLE: six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes?

Korolek [52]

Six i think cause it take each wolf 6 minutes to catch a lamb so it should still be six

4 0

3 years ago

Tara wants to weigh her three stuffed animals. They will only fit on the scale two at a time. Together Addie and Missy weight 18

Pepsi [2]

Answer: Addie weighs 4 ounces

Missy weighs 14 ounces

Corky weighs 8 ounces

Step-by-step explanation:

Let a represent the weight of Addie.

Let m represent the weight of Missy.

Let c represent the weight of Corky.

Together Addie and Missy weigh 18 ounces. This means that

a + m = 18 - - - - - - - - - 1

Missy and Corky weigh 22 ounces. This means that

m + c = 22

m = 22 - c - - - - - - - - - - 2

Addie and Corky weigh 12 ounces. This means that

a + c = 12

a = 12 - c - - - - - - - - - - - 3

Substituting equation 2 and equation 3 into equation 1, it becomes

22 - c + 12 - c = 18

34 - 2c = 18

- 2c = 18 - 34 = - 16

c = - 16/ - 2 = 8

Substituting c = 8 into equation 2, it becomes

m = 22 - 8

m = 14

Substituting c = 8 into equation 3, it becomes

a = 12 - 8

a = 4

3 0

3 years ago