HELP!!!!!!!!!

Mathematics

1 answer:

wel3 years ago

3 0

Answer:

$y=-\frac{2}{3} x+4$

Step-by-step explanation:

move the variable to the right(-2x) and change the sign(2x now) -3y=-12+2x then change the signs (-3y is 3y , -12 is 12 and then 2x becomes -2x again) then divide both sides of the equation by 3 so 12÷3=4 and -2x÷3= $-\frac{2}{3} x$ then you're going to use the commutative property to reorder the terms . so your answer is $y=-\frac{2}{3} x+4$

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Matilda needs at least $100 to in her savings account to keep it open. She already has $330 but withdraws $11 a month for fun. W

photoshop1234 [79]

Step-by-step explanation:

Step one:

given data

we are told that she wants her balance to be at least $100

y=100-------1

the expression relating her current balance and spending rate is

let y be the total and m be the number of months

y=330-11m----------2

Required

the number of months m

equating 1 and 2 we have

100=330-11m

11m=330-100

11m=230

m=230/11

m=20.9

m=21 approx

This means that she will keep her account open for 1 year 9 months

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3 years ago

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5 0

4 years ago

Read 2 more answers

A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.

fenix001 [56]

The grade is the ratio of rise to run, i.e. the slope aka the tangent.

$\tan \theta = \dfrac{1}{10}$

$\theta = \arctan 0.1 \approx 5.711^\circ$

Answer: (a) 6 degrees

For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10. The height h or rise is the side opposite the small angle.

$\sin\theta = \dfrac h c$