What will be the ordered pair of A' and B' after the line segment has been translated up 8 and to the left 9?

Two teams are selling candy bars to raise money. Team A has $165 saved and they are selling each candy bar for $2. Team B has $7

devlian [24]

Answer: Each have to sell 91 candy bars to have the same amount of money.

Step-by-step explanation: Suppose x represents the amount of candy bars.

Team A already have $165 and they are selling each candy bar for $2. The mathematical equation that represents the amount of money they have is

A: 165 + 2x

Team B initially has $74 and will sell each candy bar for $3. Then, the mathematical equation representing their amount of money is

B: 74 + 3x

So, to have the same amount of money:

165 + 2x = 74 + 3x

x = 165 - 74

x = 91

Teams A and B will have the same amount of money when each of them sell 91 candy bars.

6 0

3 years ago

Suppose you produce a camera that costs $50 to make. At a selling price of $45, you will _____.

Daniel [21]

You will lose money. Because $50 to make subtract $45 to sell (50-45) leaves you losing $5.

4 0

4 years ago

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8) 8x + 6 14x - 2 A) 11 C) 8 B) -9 D) -7

Travka [436]

Answer:

C) 8

Step-by-step explanation:

Consecutive angles are equal to 180. So 22x+4+180. Solve that to get x=8. Hope I helped and post more questions :)

6 0

3 years ago

Special right triangles.

Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to $x\:cm$ and the hypotenuse is $2\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=2^2$

This implies that;

$2x^2=2^2$

$2x^2=4$

$x^2=2$

$x=\sqrt{2}$

$x=1.414$

$x\approx1.4\:units$

QUESTION 10

The given right angle triangle has its two legs equal to $x\:units$ and the hypotenuse is $7\:units$ .

Using the Pythagoras theorem, we have

$x^2+x^2=7^2$

This implies that;

$2x^2=7^2$

$2x^2=49$

$x^2=24.5$

$x=\sqrt{24.5}$

$x=4.95\:units$

QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be $x\:units$ , then the other side of the garden is also $x\:units$ since it was a square backyard.

The diagonal is the hypotenuse which is 40ft and the two legs are $x\:units$ each.

Applying the Pythagoras Theorem, we have;

$x^2+x^2=40^2$

$2x^2=1600$

$x^2=800$

$\Rightarrow x=\sqrt{800}$

$\Rightarrow x=28.28$

The length of one side of the garden is approximately 28cm.

QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.

It was given that the two lengths of the triangular support are of equal length.

Let the two lengths of the triangular support be $l\:cm$ each.

We then apply the Pythagoras theorem to obtain;

$l^2+l^2=92^2$

$\Rightarrow 2l^2=8464$

$\Rightarrow l^2=4232$

$\Rightarrow l=\sqrt{4232}$

$\Rightarrow l=65.05cm$

Therefore Nicole needs $l+l=65.05cm+65.05cm\approx130cm$ of wood to complete the support.

The correct answer is A.

QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.

Let the length of the two legs be $m\:inches$ each.

It was given that the hypotenuse of this triangle is $12\:inches$ .

Applying the Pythagoras Theorem, we have;

$m^2+m^2=12^2$

$\Rightarrow 2m^2=144$

$\Rightarrow m^2=72$

$\Rightarrow m=\sqrt{72}$

$\Rightarrow m=8.49$

The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.

QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.

Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be $d\:ft$ , then using the Pythagoras theorem;

$d^2=90^2+90^2$

$d^2=8100+8100$

$d^2=16200$

$\:d=\sqrt{16200}$

$\:d=127.279$

Therefore the distance from home plate to second base is 127 ft to the nearest foot.

QUESTION 15.

The distance from third base to first base is also 127 ft to the nearest foot.

The reason is that the diagonals of a square are equal in length.

3 0

3 years ago

In order to estimate the mean number of pencils that campers at his camp carry in their backpacks, Leonard randomly selects 50 o

Akimi4 [234]

Leonard method is likely to to give an accurate estimate of the mean since his sample was randomly selected from campers at his camp.

hope this helped

7 0

4 years ago

Read 2 more answers