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3 years ago

13

The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensio

ns of the rectangle.

1 answer:

masha68 [24]3 years ago

4 0

Answer:

length=22

width=21

Step-by-step explanation:

let, length be x and width be y.

x=2y-20

2(x+y)=86

or, 2(2y-20+y)=86

or, 2(3y-20)=86

or, 6y-40=86

or, 6y= 126

or, y= 126/6

y= 21

x= 2×21-20 = 42-20 =22

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Write an equation for the exponential function represented in the table below

leva [86]

Y- mx+c
...................

5 0

3 years ago

A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and

Ugo [173]

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

5 0

3 years ago

In hopes of encouraging healthier snacks at school, Zack brought in a tray of carrot sticks and apple slices to share. The tray

Alex787 [66]

Answer:

48% were carrot sticks.

52% were apple slices.

Step-by-step explanation:

Given that:

Total number of snacks in the tray = 25

Number of carrot sticks = 12

Number of apple slices = 25 - 12 = 13

Percent of carrot sticks = $\frac{Number\ of\ carrot\ sticks}{Total\ Number}*100$

Percent of carrot sticks= $\frac{12}{25}*100$

Percent of carrot sticks = 0.48 * 100 = 48%

Percent of apple slices = $\frac{13}{25}*100$

Percent of apple slices = 52%

Hence,

48% were carrot sticks.

52% were apple slices.

6 0

3 years ago

Help me pls 20 POINTS

Tema [17]

Answer:

bottom =80m^2

Side =50m^2

triangle = 3 ×8 ×5

6 0

2 years ago

Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper a

labwork [276]

Answer:

0.0032

Step-by-step explanation:

We need to compute $e^{0.4}$ by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

$e^{0.4}$ < e < 3

Therefore, the Taylor's Error Bound formula is given by :

$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$ , where $M=|F^{N+1}(x)|$

$\leq \frac{3}{(3+1)!} |-0.4|^4$

$\leq \frac{3}{24} \times (0.4)^4$

$\leq 0.0032$

Therefore, |Error| ≤ 0.0032

4 0

3 years ago