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alukav5142 [94]
3 years ago
15

What is 5 divided by 4/3

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0
3.75 as a decimal, 3 &3/4 as a fraction
-BARSIC- [3]3 years ago
5 0

Answer:

3.75 or 3 3/4

Step-by-step explanation:

because you just flip 4/3 to 3/4 and times that by five and you get 3 3/4

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
Read 2 more answers
What is f(3)??????????
AURORKA [14]
<h3><u>Explanation</u></h3>
  • Meaning of f(a)

f(a) means the value of f(x) is ... when x = a. That means if we substitute x = 3, we would get f(3).

f(3) also means the value of f(x) is ... when x = 3.

f(x) can also be defined as y // f(x) = y

  • Find f(3) by graph.

You can find the value of f(x) at specific domain from the graph by looking at x = 3 then look up to where the point or where the graph passes. From the graph, when x = 3 as we look up and the graph passes y-coordinate at 1.

Therefore we can say that when x = 3, y = 1.

<h3><u>Answer</u></h3>

f(3) = 1

8 0
3 years ago
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. What is the rate of change for thi
IgorC [24]

Answer:

I think that it is y=15x+35

Step-by-step explanation:

15*x is how many hours and you have to pay $35 regardless to rent the boat

4 0
3 years ago
10 + 10 =20<br> the answer is 20
Mice21 [21]

Answer:

YEP! YOURE CORRECT!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A Crayon is shown here.
Aleks04 [339]

The volume of the single crayon is 89.5 cm³, then the total volume of the crayons will be 2148 cm³. Then the correct option is D.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A Crayon is shown here.

There are 24 crayons in a box.

The approximate total volume of the crayons will be

Total Volume of crayons = 24 × volume of the single crayon

The crayon is the combination of the cone and the cylinder

Then the volume of the single crayon (V₁) will be

\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times r^2 \times h  \right ) + \left (  \pi \times r^2 \times h  \right )\\\\\rm V_1 = \left ( \dfrac{1}{3} \times \pi \times 1.5^2 \times 2  \right ) + \left (  \pi \times 1.5^2 \times 12  \right )\\\\V_1 = 4.712 + 84.82\\\\V_1 = 89.535 \approx 89.5

Then the Total volume will be

Total volume = 24 × 89.5

Total volume = 2148 cm³

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ1

3 0
2 years ago
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