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3 years ago

How do you tell if a table is linear

Mathematics

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

If x, y increase at a constant rate, it is linear.

Step-by-step explanation:

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The length and breadth of a rectangle are in the ratio 3:2 respectively. If the sides of the rectangle are increased by 1 meter

Aleks04 [339]

<u>ANSWER: </u>

The length and breadth of the rectangle are 18 m and 12 m.

<u>SOLUTION: </u>

Let the length and breadth of a rectangle be "l" and "b"

Given,length and breadth of the rectangle are in ratio 3 : 2

Then, length : breadth :: 3 : 2

$\begin{array}{l}{\frac{l}{b}=\frac{3}{2}} \\\\ {l=\frac{3 b}{2}}\end{array}$ -- eqn 1

After changing the length and breadth by 1 meter on both sides, length and breadth becomes L+2 and b+2

Now, the ratio of length to breadth is 10 : 7

Length : breadth :: 10 : 7

$\frac{l+2}{b+2}=\frac{10}{7}$

$(l +2 ) \times 7 = 10 \times ( b + 2)$

7l + 14 = 10b + 20

10b – 7l + 20 -14 = 0

10b – 7l + 6 =0 -- eqn (2)

Now, substitute “l” value in (2)

$10 b-7\left(\frac{3 b}{2}\right)+6=0$

$10 b-\frac{21 b}{2}+6=0$

20b – 21b + 12 = 0

-b + 12 = 0

b = 12.

Substitute b value in (2)

10(12) – 7l + 6 = 0

120 + 6 = 7l

7l = 126

l = 18

hence, the length and breadth of the rectangle are 18 m and 12 m.

6 0

3 years ago

A ticket to see your favorite baseball team costs $43.76. That price decreases by $0.33 for every game lost during the regular

Lesechka [4]

Answer:

C=$0.33L-$43.76

I hope this is good enough:

3 0

3 years ago

Both expressions -3- (-7) and -7- (-3) involve the

Gelneren [198K]

Answer:

-3-(-7)=4 ,-7-(-3)=-4

Step-by-step explanation:

+ × += +

- × - = +

4 0

3 years ago

There are 6/8 of a cake leftover after a birthday . How many 1/4 can be made out of the left over cake

kirill [66]

3/4 can be made out of the leftover cake

7 0

3 years ago

mrs. white buys a used car for $3,000 she makes monthly payments of $300 until the car is paid for. mr. brown buys a used car fo

Arisa [49]

Answer:

Initial value for Mrs. White is $600 more than Mrs. Brown.

The rate of change is same for both.

Step-by-step explanation:

Cost of car purchased by Mrs. White = $3,000

Rate at which she pays for the car = $300 per month

Cost of car purchased by Mrs. Brown = $2,400

Rate at which she pays for the car = $300 per month

So,

Initial value for Mrs. White was =$3,000

Initial values for Mrs. Brown was =$2,400

difference in initial values $=3000-2400$ =$600

∴ Initial value for Mrs. White is $600 more than Mrs. Brown.

Rate of change of payment due for Mrs. White = $300 per month

Rate of change for payment due for Mrs. Brown = $300 per month

∴ The rate of change is same for both.

Since Mrs White had a higher initial value than Mrs Brown and both having same rates of change, therefore Mrs. White will take a longer time to pay the due.

6 0

4 years ago