The mass of one liter of water is about one ____

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Gram

The density of water is about 1g/cm3

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The product of two consecutive numbers is 4 more than three times the larger. find the integer

Stella [2.4K]

Answer:

Step-by-step explanation:

Let the first integer be x, then the next is x+1.

x(x + 1) = 3(x + 1) + 4

x^2 + x = 3x+ 3 + 4

x^2 + x - 3x - 7 = 0

x^2 - 2x - 7 = 0

Solving this does not give an integer so maybe there's something wrong with the question??

7 0

3 years ago

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How m

marissa [1.9K]

Answer:

1 1/4 liters of paint

Step-by-step explanation:

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?

From the above question, we can deduce that:

2 liters of paint covers 1 3/5 doors

Hence:

1 3/5 doors = 2 liters of paint

1 door = x liters of paint

Cross Multiply

1 3/5 doors × x liters = 2 liters × 1 door

x liters = 2 liters × 1 door/ 1 3/5 doors

x liters = 2 ÷ 1 3/5

x liters = 2 ÷ 8/5

x liters = 2 × 5/8

x liters = 5/4 liters

x liters = 1 1/4 liters of paint

Hence: 1 1/4 liters of paint is needed for 1 door

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3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

prohojiy [21]

Answer:

$2.25$

Step-by-step explanation:

$(6x^{-2})^2(0.5x)^4\\\\=(6^2(x^{-2})^{2})(0.5^4x^4)\ \ \ \ \ \ \ \ \ \ \ \ \ as\ (ab)^m=a^mb^m\\\\=36\times 0.5^4((x^{-2})^2x^4)\ \ \ \ \ \ \ \ \ \ as\ multiplication\ is\ associative\ a(bc)=(ab)c\\\\=36\times 0.0625(x^{-4}x^4)\ \ \ \ \ \ \ \ \ \ \ as\ (x^m)^n=x^{mn}\\\\=(36\times 0.0625)(x^{-4+4})\ \ \ \ \ \ \ \ \ \ \ as\ x^mx^n=x^{m+n}\\\\=2.25x^0\\\\=2.25\ \ \ \ \ \ \ \ \ \ \ \ as\ x^0=1\\\\(6x^{-2})^2(0.5x)^4=2.25$