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3 years ago

Simplify the question :(4−5y)−2(3.5y−8)

Mathematics

1 answer:

BabaBlast [244]3 years ago

7 0

Answer:

$-12y+20$

Step-by-step explanation:

$\left(4-5y\right)-2\left(3.5y-8\right)$

Use distributive property.

$-2\left(3.5y-8\right)$

$-2\cdot \:3.5y-\left(-2\right)\cdot \:8$

$-7y+16$

$4-5y-7y+16$

Now, add like terms.

$-5y-7y=-12y$

$\:4+16=20$

$-12y+20$

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I need help solving this problem

Elena L [17]

Use the given values in the compound interest formula to solve for time, n.

A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.

2800 = 1900(1 + 0.025)^n

2800 = 1900(1.025)^n

2800/1900 = (1.025)^n

28/19 = (1.025)^n

take the natural log of both sides to solve for exponent.

ln(28/19) = ln(1.025^n)

power rule of logarithmic moves exponent

ln(28/19) = n*ln(1.025)

ln(28/19) / ln(1.025) = n

put into a calculator

15.7 years = n

4 0

2 years ago

Show the number on a number line: -12 ÷ 4 =

Gwar [14]

Answer:

well if we take -12 and divide it by four we will get -3.

Step-by-step explanation:

If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.

Your answer will be -3 on the number line.

3 0

2 years ago

Read 2 more answers

Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th

Cerrena [4.2K]

Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:

$V = \frac{4}{3}\pi r^{3}$

Where:

r: is the radius = 0.4 meters

$V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}$

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

$N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon$