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3 years ago

Which of the following expression represents the distance between 4.35 and -2 1/5

Mathematics

1 answer:

likoan [24]3 years ago

4 0

Step-by-step explanation:

4.35 - (-2 1/5) = 4.35 + 2 1/5 = 4.35 + 2.2 = 6.55

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Mario buys tickets for either 47 or 57 dollars. He purchases 14 tickets and spends 738 dollars. How many tickets did he purchase

Ivanshal [37]

Answer:

6 tickets were purchased at $47

8 tickets were purchased at $57

Step-by-step explanation:

Let the tickets purchased at $47 be x

Let the tickets purchased at $57 be y

We can form an equation from the question given which will be:

x + y = 14 ....... i

47x + 57y = 738 ........ ii

From equation i

x = 14 - y ........ iii

Substitute iii into ii

47x + 57y = 738

47(14-y) + 57y = 738

658 - 47y + 57y = 738

Collect like terms

-47y + 57y = 738 - 658

10y = 80

y = 80/10

y = 8

8 tickets were purchased at $57

Note that from i

x + y = 14

x + 8 = 14

x = 14 - 8

x = 6

6 tickets were purchased at $47

7 0

2 years ago

A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where

stich3 [128]

When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.

3 0

2 years ago

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0

3 years ago

Eloise is planning on retiring soon. When she first began working she invested $1500 in a retirement fund. The percent increase

cupoosta [38]

$2925 she would have left in her account :)

6 0

3 years ago

Read 2 more answers

Urgent Please Help Me!!!!!!!!!!!!

xz_007 [3.2K]

Answer:

If use the area of the frame the area of the photo will be included

Area of frame = (22 + 2 x) * (20 + 2 x) = A

440 + 2 x ( 20 + 22) + 4 x^2 = A

A = 4 x^2 + 84 X + 440

8 0

3 years ago