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2 years ago

Question 1 of 12, Step 1 of 1

Mathematics

1 answer:

stellarik [79]2 years ago

8 0

Answer:

325 and 375 mph

Step-by-step explanation:

Given :

Distance between plane A and B = 2800

Recall :

Distance = speed * time

Let speed of A = v1

Speed of B = v2

v1 = v2 + 50

Time taken = 4 hours

Distance = speed * time

Total distance = 2800

2800 = v1 * 4 + v2 * 4

2800 = (4v1) + (4v2)

2800 = 4(v2+50) + 4v2

2800 = 4v2 + 200 + 4v2

2800 = 8v2 + 200

2800 - 200 = 8v2

2600 = 8v2

v2 = 2600/8

v2 = 325 mph

v1 = v2 + 50

v1 = 325 + 50

v1 = 375 mph

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2) Rosa is making a board game that is 16 inches by 24 inches. She wants to use square tiles. What

solniwko [45]

Answer:

8x8

GCF

Step-by-step explanation:

3 0

3 years ago

Consider 8x2 - 48x = -104.

ki77a [65]

Answer:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

Step-by-step explanation:

<u>Quadratic Equation Solving</u>

We have the equation:

$8x^2-48x=-104$

Divide by 8:

$x^2-6x=-13$

Now complete the squares so the left side is a perfect square of a binomial:

$x^2-6x+9=-13+9=-4$

Factoring the perfect square:

$(x-3)^2=-4$

Taking the square root:

$x-3=\sqrt{-4}$

The square root of a negative number is an imaginary number:

$x-3=\pm 2\mathbf{i}$

Solving for x:

$x=3\pm 2\mathbf{i}$

The solutions are:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

7 0

2 years ago

A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their

kifflom [539]

Answer:

$p(x) = -0.01x + 15$

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

$(x_1,p_1) = (500,10)$

A reduction of 50c gives an increment of 50 tickets.

This gives:

$(x_2,p_2) = (500+50,10-0,5)$ ---- $50c = \$0.5$

$(x_2,p_2) = (550,9.5)$

Required

Determine the demand function

First, calculate the slope:

$m = \frac{p_2 - p_1}{x_2 - x_1}$

$m = \frac{9.5 - 10}{550-500}$

$m = \frac{-0.5}{50}$

$m = -0.01$

So, the equation is:

$p = m(x - x_1) + y_1$

$p = -0.01(x - 500) +10$

$p = -0.01x + 5 +10$

$p = -0.01x + 15$

Hence, the function is:

$p(x) = -0.01x + 15$

4 0

3 years ago

What is a reclusive formula?

-Dominant- [34]

Answer:

a formula that defines each term of a sequence using preceding terms

Step-by-step explanation:

gogle

3 0

2 years ago

Read 2 more answers

A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour. Write and solve an equation to find

zysi [14]

Answer:

( t - p ) / 85x = h

( t - 265.95 ) / 85x = h

648.45 - 265.95 / 85x = 3.32h

h = 3.32

Therefore ( t - p ) / 85x = 3.32

Step-by-step explanation:

648.45 - 265.95

282.50 /85

= 3.32 hrs

Finding equation to find hours can be shown as

( t - p ) / 85x = 3.32

How we found equation to find total

Parts = 19 x 14 - 5/100 = 266- 0.05

648.45 - 265.95 = 282.5

282.5/85 = 3.323 near to 3,233529

Labour = 85x = 17 (5 + x)

Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85

Equation = ( 85x x 3 1/3) + 265 - 19/20 = t

3 0

2 years ago