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3 years ago

Question 3(Multiple Choice Worth 1 points)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

6 0

Answer:

Division property of equality

Step-by-step explanation:

2x + 2y = 14 -----------(1)

−4x + 6y = 12---------(2) Given

we can divide through the equation equation (2) by 2

The equation becomes;

-2x + 3y = 6 ----------(3) Division property of equality

(4x ÷2 = 2x 6y÷2 = 3y 12÷2=6)

2x + 2y = 14 -----------(1)

-2x + 3y = 6 ----------(3)

To eliminate x variable, we will add equation (1) and equation (3) together

(2 x+ [-2 x] = 2 x-2 x = 0 2 y + 3 y = 5 y 14 + 6=20)

The equations become;

5y = 20

To get the value of y, we divide both-side of the equation by 5

5y/5 = 20/5

y = 5

To find the value of x, we will simply substitute y =5 in equation (1)

2x + 2y = 14

2x + 2(5) = 14

2x + 10 = 14

subtract 10 from both-side of the equation

2x + 10 -10 = 14 -10

2x = 4

Divide both-side of the equation by 2

2x/2 = 4/2

x = 2

x = 2 and y =5

Tom [10]3 years ago

3 0

Answer:

Your answer is Division Property of Equality

Step-by-step explanation:

It <em>could</em> be Addition Property of Equality, but the second number shows it is actually the division property of equality. Here's my work:

-4x + 6y = 12 Given

(-4x/2) + (6y / 2) = (12/2)

--Simplify--

−2x + 3y = 6

Sidenote: I'm doing the test right now haha

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Lizzie rolls two dice. What is the probability that the sum of the dice is:

zhenek [66]

Answer:

$A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\$

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A) = \dfrac{12}{36} = \dfrac{1}{3}$

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)} Count 1

Possible cases for sum 3: {(1,2), (2,1)} Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)} Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)} Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

$P(B) = \dfrac{15}{36} = \dfrac{5}{12}$

C. Divisible by 3 and less than 7:

$P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}$

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

$P(A \cap B) = \dfrac{7}{\text{36}}$

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3 years ago

Tim wants to buy several pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds

iogann1982 [59]

Answer:

2 orders

Step-by-step explanation:

Step one:

given data

The local store sells at $24 per pair of jeans

Cost = $24

The online store sells at $22 per pair plus a shipping fee of $6 per order

let the number of orders be x

Cost= 22+6x

For 1 order

the online store will cost

Cost= 22+6*1

Cost= 22+6

Cost= $28

For 2 orders

The local shop cost

Cost= 24*2= $48

The online store will cost

Cost= 22+6*2

the online store will cost

Cost= 22+12

Cost= $34

Hence Tim should place at least 2 orders if he wants to buy online

7 0

3 years ago

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Svetradugi [14.3K]

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3 years ago

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Nina [5.8K]

Answer:

$546,875

Step-by-step explanation:

if the trailer brand new costs $625,000 and decreases by 12.5% you want to find 10% which is $62,500. then you want to find 5% which would be $31,250. but you want 2.5% so you need to divide $31,250 by 2 which is $15,625. add $62,500 and $15,625 together which is $78,125. then do $625,000-$78,625 which gets you $546,875.

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3 years ago

Hilda adds 5 to a number, then multiples the sum by -2. The result is 6. Write and equation to find the number, x. What is the n

Novay_Z [31]

(x+5)*(-2) = 6

distribute

-2x -10 = 6

add 10 to each side

-2x -10 +10 = 6+10

-2x = 16

divide by -2

-2x/-2 = 16/-2

x = -8

The number is -8

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3 years ago