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vlabodo [156]
3 years ago
6

During the summer holidays, your brother earns extra money mowing lawns. He mows 6 lawns an hour and has 21 lawns to mow. How lo

ng will it take him?
Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

His brother will take 3.5 hours or 3\frac{1}{2} hours to mow 21 lawns

Step-by-step explanation:

Given:

His brother mows 6 lawns in an hour.

To find the time his brother takes to mow 21 lawns.

Solution:

We will unitary method to find the time he will take to mow 21 lawns.

If 6 lawns are mowed in 1 hour

So, 1 lawn will me mowed in = \frac{1}{6} hours.

Thus 21 lawns will be mowed in = \frac{1}{6}\times 21=\frac{21}{6}=3.5 hours.

Thus, his brother will take 3.5 hours or 3\frac{1}{2} hours to mow 21 lawns

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Solving two step inequalities
MariettaO [177]

Answer:

if more than 12 movies then plan b is less mark me brainliest plz

4 0
3 years ago
I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
2 years ago
1. *
slavikrds [6]

Answer:

I am not so clear about this question

3 0
3 years ago
Which statement about g(x)=x^2-576 is true
Ipatiy [6.2K]

Answer:

c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

The given function is

g(x)=x^2-576

When we equate the function to zero, we obtai;

x^2-576=0

Use difference of two squares:

x^2-24^2=0

(x-24)(x+24)=0

Use the zero product property to obtain;

x-24=0,\:and\:x+24=0

This implies that;

x=24,\:and\:x=-24

The correct choice is C

6 0
3 years ago
1. A line passes through (9, -9) and (10,-5).
jenyasd209 [6]

Answer:

1. y+5=4x-40

2.y=4x-45

Step-by-step explanation:

To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4

Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45

5 0
3 years ago
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