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3 years ago

3.24 divided by 82 estimate the quotion

1 answer:

8 0

Since it's an estimation, round 3.24 to the nearest whole number, which is 3, then just divide, the answer is 0.06586..... Did you mean 82 divided by 3.24? (82÷3.24 or 3.24/82) then, round 3.24 to 3 and divide, the answer is 27.333 or 27.

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A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

loris [4]

Answer:

a) dm/dt = 0.2m

b) ln(m) = 0.2t + A

c) ln(m) = 0.2t + ln(20) - 0.6

d) 11 grams

Step-by-step explanation:

a) dm/dt = 0.2m

b) dm/m = 0.2dt

ln(m) = 0.2t + A

c) At t = 3, dm/dt = 4

dm/dt = 0.2m

4 = 0.2m

m = 4/0.2 = 20

So, when t = 3, m = 20

ln(20) =0.2(3) + A

A = ln(20) - 0.6

ln(m) = 0.2t + ln(20) - 0.6

d) find m when t=0

ln(m) = 0.2(0) + ln(20) - 0.6

ln(m) = ln(20) - 0.6

ln(m) = 2.3957322736

m = e^2.3957322736

m = 10.9762327224

m = 11

8 0

3 years ago

X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

3 years ago

Apply the product rules to determine the sign of each expression

sammy [17]

Answer:

Step-by-step explanation:

1). $(\frac{-4}{9})\times (\frac{7}{4})=(-1)(\frac{4}{9})(\frac{7}{4} )$

$=-\frac{7}{9}$ [Negative]

2). $(-2\frac{3}{4})(-1\frac{1}{5})=(-1)(2\frac{3}{4})(-1)(1\frac{1}{5})$

$=(-1)^2(2\frac{3}{4})(1\frac{1}{5})$

$=(2\frac{3}{4})(1\frac{1}{5})$ [Positive]

3). (3)(-3)(-3)(-3)(-3) = 3.(-1).3.(-1).3.(-1).3(-1).(3)

= (-1)⁴(3)⁵

= (3)⁵ [Positive]

4). $(-\frac{1}{6})(-2)(-\frac{3}{5})(-9)$ = $(-1)(\frac{1}{6})(-1)(2)(-1)(\frac{3}{5})(-1)(9)$

= $(-1)^4(\frac{1}{6})(2)(\frac{3}{5})(9)$

= $(\frac{1}{6})(2)(\frac{3}{5})(9)$ [Positive]

5). $(-\frac{4}{7})(-\frac{3}{5})(-9)=(-1)(\frac{4}{7})(-1)(\frac{3}{5})(-1)(9)$

$=(-1)^3(\frac{4}{7})(\frac{3}{5})(9)$

$=-(\frac{4}{7})(\frac{3}{5})(9)$ [Negative]

6). $(-\frac{10}{7})(\frac{8}{3})=(-1)(\frac{10}{7})(\frac{8}{3})$

$=-(\frac{10}{7})(\frac{8}{3})$ [Negative]

3 0

3 years ago

Read 2 more answers

I need help please :(

Anuta_ua [19.1K]

15x + 11x + 8x+5 = 180

34x + 5 = 180

34x = 180-5

34x = 175

x = 5.147

by substitution each value by of x by 5

75 + 55 + 45 = 175

5 0

3 years ago

Check all of the ordered pairs that satisfy the equation below.

stiv31 [10]

Answer:

Hey there!

y=3/4x shows that the y-value is always 3/4 of the x-value.

Thus, if x is 4, y is 3. It always fits the 4:3 ratio.

The ordered pairs that satisfy this equation are: 28:21 and 16:12

Let me know if this helps :)

6 0

3 years ago