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alexandr1967 [171]
2 years ago
11

Translate the shape A three squares right and one square down.

Mathematics
1 answer:
Alexus [3.1K]2 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

a shift of 3 squares right means add 3 to the x- coordinate

a shift of 1 square down means subtract 1 from the y- coordinate

translation rule is (x, y ) → (x + 3, y - 1 ) , then

(1, 1 ) → (1 + 3, 1 - 1 ) → (4, 0 )

(1, 4 ) → (1 + 3, 4 - 1 ) → (4, 3 )

(3, 1 ) → (3 + 3, 1 - 1 ) → (6, 0 )

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3 years ago
Two number cubes (6 sided) are rolled at the same time. What is the probability that the first number cube will land on a 2 or 3
Reil [10]

Answer:

5/36 or approximately 13.88...%

Step-by-step explanation:

First, we need to know the probability of rolling a 2 or 3. Because there are 6  sides, the probability is 2/6

Next, we have to find the probability of rolling an even number. With the numbers:

1, 2, 3, 4, 5, 6

1, 3, 5 are odd       2, 4, 6 are even

so, the probability of rolling an even number is 3/6

Finally, multiply the probabilities:

3/6*2/6=5/36

Answer:

5/36 or about 13.88%

7 0
3 years ago
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Sergeeva-Olga [200]
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6 0
3 years ago
Slope for the line perpendicular to the line shown in the graph
Flauer [41]
It would be positive 1/3 because if you move to the right one on your bottom point and up 3 it gives you +1/3
8 0
3 years ago
Someone can help me for all the question ?
Dvinal [7]

Answer:

1. 5

2. 3 adult tickets; 2 child tickets

3. See below

Step-by-step explanation:

1.

2 adult tickets cost 2 × $12 = $24

Subtract $24 from $64:

$64 - $24 = $40

Divide $40 by $8:

$40 ÷ $8 = 5

Answer: 5 child tickets

2.

x = number of adult tickets

y = number of child tickets

The total number of tickets is 5, so the first equation is:

x + y = 5

The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:

12x + 8y = 52

The system of equation is:

x + y = 5

12x + 8y = 52

Let's solve it by substitution.

Solve the first equation for x.

x = 5 - y

Now we substitute x in the second equation by 5 - y.

12(5 - y) + 8y = 52

Distribute:

60 - 12y + 8y = 52

Combine like terms on the left side:

-4y + 60 = 52

Subtract 60 from both sides:

-4y = -8

Divide both sides by 4.

y = 2

Substitute y = 2 in the first original equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

Answer: 3 adult tickets; 2 child tickets

3.

The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.

We can also show his claim is false using a system of equations.

x + y = 7

12x + 8y = 71

Use substitution.

x = 7 - y

12(7 - y) + 8y = 71

84 - 12y + 8y = 71

84 - 4y = 71

-4y = -13

y = 3.25

This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.

4 0
2 years ago
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