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Sergio039 [100]
3 years ago
15

Solve 5m − 3h = 45 for h. Show your work.

Mathematics
2 answers:
mezya [45]3 years ago
5 0

5m − 3h = 45

Subtract 5m from both sides

-3h = 45 - 5m

Divide both sides by -3

h = (45 - 5m)/ -3

h = -15 + 5m/3

AnnyKZ [126]3 years ago
4 0

h = \frac{5m - 45}{3}

isolate the term in h by subtracting 5m from both sides

- 3h = 45 - 5m ( multiply through by (- 1 ) )

3h = 5m - 45 ( divide both sides by 3 )

h = \frac{5m - 45}{3}


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A carpenter uses 12 nails for each board. If there are 48 nails in a pound, how many pounds would be used for 100 boards
Anastaziya [24]

Answer:

25

Step-by-step explanation:

12*100=1200/48=25

4 0
3 years ago
Please help will give brainliest
photoshop1234 [79]
<h2>Answer:</h2><h2 />

If we have two functions f \ and \ g such that f(g(x))=x for every x in the domain of g, and g(f(x))=x for every for every xin  the domain of  f. If we prove this, then g is the invers function of f and denoted by f^{-1}

1. We need to prove whether f(g(x))=x. So:

f(x)=\frac{4}{5}x+1 \\ \\ g(x)=\frac{5x-5}{4} \\ \\ So: \\ \\ f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1 \therefore f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1

\therefore f(g(x))=x-1+1 \\ \\ \boxed{f(g(x))=x}

2. We need to prove whether g(f(x))=x. So:

g(f(x))=\frac{5(\frac{4x}{5}+1)-5}{4} \\ \\ \\ g(f(x))=\frac{4x+5-5}{4} \\ \\ \\ g(f(x))=\frac{4x}{4} \\ \\ \\ g(f(x))=x

Since f(g(x))=g(f(x))=x, then:

f(x) \ and \ g(x) are inverses to each other.

3 0
3 years ago
Write the explicit formula for the
Phoenix [80]

Answer:

a_n=-10n+150

Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

where m is the slope

So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: a_n=-10n+150 instead.

7 0
3 years ago
X + 2y = 5, x - Зу = 7 What is the value of the system determinant?​
Whitepunk [10]

Step-by-step explanation:

The solution is on the script

3 0
2 years ago
Person A is 49 times older than person B. the sum of their ages 1.450​
Pepsi [2]

Answer:

Step-by-step explanation:

Is 1.450 correct?  145 would make more sense.  I'd even go with 1,450, just for a laugh.  I'll assume 1.450 is the correct number here.  I'll assume assute the question eventually asks how old are A and B.

A = 49(B)

A+B=1.450

Substitute:  

49B+B=1.450

50B = 1.450

B = 0.029

A = 49(B)

A = 49*(0.029)

A = 1.421

3 0
2 years ago
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