All categories

3 years ago

What is the exact value of 11.68 - 0.48 ÷ (-1.6) =

Mathematics

2 answers:

Natali5045456 [20]3 years ago

7 0

Answer:

0.3

Step-by-step explanation:

Ann [662]3 years ago

5 0

Answer:

11.93

Step-by-step explanation:

Order of Operations rules require that we do the division first:

-0.48 48

-------- = --------- = 0.3

-1.6 1600

Then we combine 11.68 ad 0.3, obtaining 11.93.

You might be interested in

For each logarithmic equation, write an equivalent equation in exponential form

Montano1993 [528]

Answer:

loga b = c ⇔ a^c = b

<u>Apply the property above:</u>

1. ln 618 = p ⇔ e^p = 618
2. ln q = 2 ⇔ e^2 = q
3. ln 100 = t ⇔ e^t = 100
4. ln (e^3) = 3 ⇔ e^3 = e^3

8 0

2 years ago

Michael baked 60 oatmeal cookies and 45 chocolate chip cookies to package in plastic containers for her friends at school. She w

Scrat [10]

Answer:

Step-by-step explanation:

Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.

2 is not possible as 45 is an odd number

3 can divide both 60 and 45

60/3 = 20 oatmeal cookies in each container.

45/3 = 15 chocolate chip cookies in each container.

7 0

2 years ago

The radius of a circle is 9 times the radius of a smaller circle. The area of the smaller circle is 50 square centimeters. What

scoundrel [369]

Answer:

Let R = radius of big circle

r=radius of small circle

A1=Area of small circle

A2=Area of big circle

R=9r

A1=50cm^2

A1=pi*r*2

A2=pi*R^2

A2=pi*(9r)^2

A2=81*pi*r^2

A2=81*A1

A2=4050cm^2

Hence the big circle has area of 4050cm^2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which explains, on a given day, which island is more likely to have a wind speed close to its median? Country A because the medi

Leya [2.2K]

Answer:b

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 5y = sin(x)

vichka [17]

Answers:

a = -6/37

b = -1/37

============================================================

Explanation:

Let's start things off by computing the derivatives we'll need

$y = a\sin(x) + b\cos(x)\\\\y' = a\cos(x) - b\sin(x)\\\\y'' = -a\sin(x) - b\cos(x)\\\\$

Apply substitution to get

$y'' + y' - 5y = \sin(x)\\\\\left(-a\sin(x) - b\cos(x)\right) + \left(a\cos(x) - b\sin(x)\right) - 5\left(a\sin(x) + b\cos(x)\right) = \sin(x)\\\\-a\sin(x) - b\cos(x) + a\cos(x) - b\sin(x) - 5a\sin(x) - 5b\cos(x) = \sin(x)\\\\\left(-a\sin(x) - b\sin(x) - 5a\sin(x)\right) + \left(- b\cos(x) + a\cos(x) - 5b\cos(x)\right) = \sin(x)\\\\\left(-a - b - 5a\right)\sin(x) + \left(- b + a - 5b\right)\cos(x) = \sin(x)\\\\\left(-6a - b\right)\sin(x) + \left(a - 6b\right)\cos(x) = \sin(x)\\\\$

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.

The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero

a-6b = 0

a = 6b

At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)

-6a -b = 1

-6(6b) - b = 1 .... plug in a = 6b

-36b - b = 1

-37b = 1

b = -1/37

Use this to find 'a'

a = 6b

a = 6(-1/37)

a = -6/37

8 0

2 years ago