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4 years ago

Which expression is equivalent to 2.2−2.5? A 2.5−2.2 B 2.2+2.5 C 2.2+(−2.5) D 2.2−(−2.5)

Mathematics

1 answer:

joja [24]4 years ago

7 0

Answer:

Step-by-step explanation:

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The area of a rectangle has decreased by 2%.

MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 = w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.

6 0

3 years ago

8,902 to the nearest thousand

7nadin3 [17]

Answer:

9,000

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Felix can have 1 fish for every 4,000 mm of water in his fish tank. his fish tank holds 180 l. how many fish can he have in his

Alenkasestr [34]

45 fish

1 L = 1,000 mL
180(1,000) = 180,000
180 L = 180,000 mL
180,000/4,000 = 45

3 0

3 years ago

Help me plz

irakobra [83]

Answer:

I could do 1 and 3

1) 2x-3y=-2 ....1

2x+y=14......2

=-4y=-16

y=4

Substitute (y=4) into equation 1

2x-3 (4)=-2

2x-12=-2

2x=-2+12

2x=10

×=5

3) 5x+5y=20....1

-3x+5y=4......2

=8x=16

x=2

Substitute (x=2) into equation 1

5 (2)+5y=20

10+5y=20

5y=20-10

5y=10

y=2

5 0

3 years ago

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find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. |-2x-3|≤ 3

Ludmilka [50]

Answer:

Inequality form: -3 $\leq$ x $\leq$ 0

Interval Notation: [-3, 0]

Step-by-step explanation:

Isolate the variable by dividing each side by the factors.

3 0

3 years ago