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2 years ago

What is the next number in this pattern? 1,7,8,15,23,38,61

Mathematics

1 answer:

Kruka [31]2 years ago

8 0

Answer:

Step-by-step explanation:

1 then 7+1=8 8+7=15 15+8=23 23+15=38 38+23=61

Ta Da I have taught you the pattern now you can show your work just in case you have one of those teachers hope this helped

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Triangle XYZ with vertices X(0, 0), Y(0, –2), and Z(–2, –2) is rotated to create the image triangle X'(0, 0), Y'(2, 0), and Z'(2

Marina86 [1]

Answer: The correct options are

(A) Rotation 90° anticlockwise.

(D) (x, y) → (–y, x).

Step-by-step explanation: Given that ΔXYZ is rotated to create the image triangle ΔX'Y'Z'.

Triangle XYZ and its image triangle X'Y'Z' are shown in the attached figure.

The co-ordinates of the vertices of ΔXYZ are X(0, 0), Y(0, -2) and Z(-2, -2).

And the co-ordinates of the vertices ΔX'Y'Z' are X'(0, 0), Y'(2, 0) and Z'(2, -2).

Option (A) Rotation 90°:

We see from the figure that if we rotate ΔXYZ is rotated 90° anticlockwise, then it will coincide with ΔX'Y'Z'.

So, rotation of 90° anticlockwise is a correct option.

Option (B) Rotation 180°:

If we rotate ΔXYZ is rotated clockwise or anticlockwise 180°, then it will NOT coincide with ΔX'Y'Z'.

So, rotation of 180° is NOT a correct option.

Option (C) Rotation 270°:

If we rotate ΔXYZ is rotated clockwise 270°, then also it will not coincide with ΔX'Y'Z'.

So, rotation of 270° clockwise is also a correct option.

Option (D) (x, y) → (–y, x):

We see that the co-ordinates of both the triangle follow the transformation

X(0, 0) ⇒ X'(0, 0)

Y(0, -2) ⇒ Y'(2, 0)

Z(-2, -2) ⇒ Z'(2, -2).

So, the transformation is (x, y) ⇒ (-y, x).

Therefore, the transformation (x, y) → (–y, x) is a correct option.

Option (E) (x, y) → (y, -x):

We see that the co-ordinates of both the triangle does NOT follow this transformation

For example, suppose this transformation is correct. Then, we have

Y(0, -2) ⇒ (-2, 0), which are not the co-ordinates of Y'.

Therefore, the transformation (x, y) → (–y, x) is NOT a correct option.

Thus, the correct options are:

(A) Rotation 90° anticlockwise.

(D) (x, y) → (–y, x).

9 0

1 year ago

Read 2 more answers

Maxwell’s vegetarian tacos requires 3/4 tablespoon of chili powder for every 1/2 pound of vegetables. How much chili powder will

Zina [86]

Answer:

1 1/8 or 9/8

Step-by-step explanation:

Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.

The first proportion will be..

$\frac{x}{y}$ x is 3/4 and y is 1/2. Across from that proportion make another one

$\frac{x}{y}$ x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.

Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.

Hope this wasn't too confusing :)

3 0

2 years ago

Read 2 more answers

A mouse traveled a total distance of 3/24 of a mile in a maze over the past three hours the mouse travel the same distance each

alexgriva [62]

Answer:

Total distance mouse traveled in 3 hours = $\frac{3}{24}$ of a mile

The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.

So, the distance traveled in one hour will be = $\frac{3}{24} \div 3 = \frac{3}{24} \times \frac{1}{3} =\frac{1}{24}$ of a mile

The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.

Correct conclusion will be: Mouse travel 1/24 of a mile each hour

8 0

2 years ago

You earn $11 per hour delivering pizzas. you also work part-time at a convenience store where you earn $9 per hour. you want to

scoundrel [369]

We will traduce the sentences into equations.
Let x be the number of hours in the first job, and y be the number of hours in the second job.
Then the equations are:
$x+y\leq25\\11x+9y\geq 150$

The above system has many solution, we can select for example:
x = 1, y = 16. So we can work one hour at the first job and 16 hour at the second job.

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2 years ago

The $120 repair bill included $36 for parts and rest for labor. What percent of the bill was for labor?

Bogdan [553]

Answer:

30%

Step-by-step explanation:

3 0

2 years ago