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3 years ago

7

Someone please explain this

1 answer:

Ludmilka [50]3 years ago

5 0

Answer:

HOPE THIS HELPS

Step-by-step explanation:

$x^{2}$ -14x-32 =(X+2)(X-16)

A=1

B=2

C=1

D=-16

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How to write the number 1.39-1.14 in word form

9966 [12]

0.25 which is a quarter.

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4 years ago

Read 2 more answers

At first an athlete jogs at 4 miles per hour and then jogs at 8 miles per hour, traveling 10 miles in 1.5 hours. How long does

polet [3.4K]

we know

distance =time *speed

from given question we have following equation

4*t+(1.5-t)*8=10

4*t+12-8t=10

12-4t=10

-4t=10-12

4*t=2

t=0.5 hour

hence at speed 4 miles per hour he crosses 4*0.5=2 miles

at speed 8 miles per hour he crosses 8*(1.5-0.5)=8 miles

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4 years ago

A magician’s stage has a rectangle trapdoor which is (x+ 1/2) by 2x ft. The outside rectangle length is (x+ 16) ft.

Katen [24]

Answer:

Part A:- $x +11 ft$ Part B:- $(4x+54)ft$ part C:- $x= 2ft$

Part D:- Yes it satisfy his requirement

Step-by-step explanation:

Given that,

length and breadth of Trapdoor are $(x+ \frac{1}{2} ) by 2x$ ft.

The Outside length of Rectangle is $(x+16 )$ ft.

Part A:- Total area (in square feet) of the stage can be represented by

$x^{2} + 27x+ 176$ . Write an expression for the width of stage.

So, Area of rectangle = $length \times breadth$

$x^{2} + 27x+ 176 = (x+16) \times breadth$

$Breadth = \frac{x^{2} + 27x+ 176}{x+16}$

$Breadth = x+11$ ft. ................(1)

Part B:- Write an expression for the Perimeter of the stage.

Here, Perimeter of Rectangle = $2(L+B)$

= $2(x+16 + x +11)$

= $(4x + 54) ft$

Part C:- The area of trapdoor is $10 ft^{2}$ . Find the value of x.

So, Area of trapdoor = $10 ft^{2}$

$(x +\frac{1}{2}) \times 2x =10 ft^{2}$

$2x^{2} +x - 10 = 0$

$x = \frac{-1-9}{4}$ , $\frac{-1+9}{4}$

$x = \frac{-5}{2}$ , $2$

Hence value of x is $2 ft$ (Neglecting the negative value because

length cannot be negative).

Part D:- The magician wishes to have the area of the stage be at least 20 times the area of the trapdoor. Does this stage satisfy his requirement? Explain.

So, Length of trapdoor is $(2+\frac{1}{2} ) = \frac{5}{2} ft$

breadth of trapdoor is $2\times 2 = 4ft$

Now, outside length of Rectangle is = $18ft$

And outside breadth of rectangle is = $13ft$

Here, Area of trapdoor = $\frac{5}{2} \times 4 = 10ft^{2}$ ...................(2)

Area of rectangle = $18 \times 13= 234 ft^{2}$ ....................(3)

Thus comparing Equation (1) & (2) we found that

Area of rectangular stage is 20 times greater than the area of trapdoor.

7 0

4 years ago

Norman weighed his loaded truck of apples at a weigh station. It weighed 15 tons 100lbs. His empty truck weighed 3 tons 200lbs.

Rom4ik [11]

The load of the apple would weigh 23900 because 15 tons and 100lbs is 30100 and 3 tons and 200lbs is 6200 so 30100 minus 6200 equals 23900

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3 years ago

Katie put a $980 item on layaway by making a down payment of 14% of the purchase price. How much does she have left to pay after

Tanzania [10]

Answer:

$842.8

Step-by-step explanation:

It says that Katie already paid the 14% of the item as a down payment, so she needs to pay the remaining 86% of the item.

To get that, it is:

$980 x 86% = $842.8

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4 years ago