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3 years ago

What is an expression equivalent to -4(-6m - 7)

Mathematics

1 answer:

nekit [7.7K]3 years ago

6 0

Answer: 24m+28

Step-by-step explanation:

you would distribute the -4 threw eveything

so it would be 24m+28

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A watering can dispenses water at the rate of 0.20 gallon per minute. The original volume of water in the can was 8 gallons. Whi

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4 years ago

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5 points, brainliest, and a 5-star rating.

sergij07 [2.7K]

Answer:

ill put them in order fof what they are from top to bottom

Step-by-step explanation:

5,2 ,1, 3, 4. and it starts from the 78 cents being equal to 5 they are in order.

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3 years ago

Which values represent the first two terms of the sequence a1=2 and an=-2(an-1)^2?

Mars2501 [29]

Hello,

$a_{1}=2$
$a_{n+1}=-2*a_{n}^2$

$a_{1}=2$
$a_{2}=-2*2^{2}=-8$
$a_{3}=-2*(-8)^{2}=-2*64=-128$

Answer C

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3 years ago

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b

WARRIOR [948]

Answer:

C) I and III only

Step-by-step explanation:

Let full pool is denoted by O

Days Hose x takes to fill pool O = a

Pool filled in one day x = O/a

Days Hose y takes to fill pool O = b

Pool filled in one day y = O/b

Days Hose z takes to fill pool O = c

Pool filled in one day z = O/c

It is given that

a>b>c

$a>b>c>d\\\implies x$

Days if if x+y+z fill the pool together = d

1 day if x+y+z fill the pool together $=O(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=\frac{O}{d}---(1)$

I) d < c

d are days when hose x, y, z are used together where as c are days when only z is used so number of days when three hoses are used together must be less than c when only z hose is used. So d < c

III) $\frac{c}{3}$

Using (1)

$\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad(a>b>c)\\(ab+bc+ca)\frac{abc}{3ab}\\\\d>\frac{c}{3}$

Similarly

$\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad a>b>c\\(ab+bc+ca)>3bc\\\\d=\frac{abc}{ab+bc+ca}$

So,

$\frac{c}{3}$

3 0

3 years ago

The time, t, required to drive a fixed distance varies inversely as the speed, r. It takes 8 hr at a speed of 15 km/h to driv

loris [4]

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

The time, t, required to drive a fixed distance varies inversely as the speed, r. By introducing a constant of variation, k(the fixed distance), the expression becomes

t = k/r

It takes 8 hr at a speed of 15 km/h to drive a fixed distance. It means that

8 = k/15

k = 8 × 15 = 120

The equation becomes

t = 120/r

Therefore, the time it will take to drive the same distance at a speed of 29 km/h is

t = 120/29 hours

Converting to minutes, it becomes

120/29 × 60

= 248. 28 minutes

248 minutes, 28 seconds

7 0

4 years ago