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Shkiper50 [21]
3 years ago
8

The wages (in £) henry earns is the number of hours he works n multiplied by his hourly rate r (in £ per hour). enter a formula

for Henry's wages
Mathematics
1 answer:
rusak2 [61]3 years ago
5 0

Possible Answer (*shrugs*) ‍♂️: where x represents Henry's wages

x=nr

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A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog's speed is 150 feet per minute. The squi
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Answer:

15 seconds

Step-by-step explanation:

If you make a table of values for the dog and the squirrel using d = rt, then the rates are easy:  the dog's rate is 150 and the squirrel's is 100.  The t is what we are looking for, so that's our unknown, and the distance is a bit tricky, but let's look at what we know:  the dog is 200 feet behind the squirrel, so when the dog catches up to the squirrel, he has run some distance d plus the 200 feet to catch up.  Since we don't know what d is, we will just call it d!  Now it seems as though we have 2 unknowns which is a problem.  However, if we solve both equations (the one for the dog and the one for the squirrel) for t, we can set them equal to each other.  Here's the dog's equation:

d = rt

d+200 = 150t

And the squirrel's:

d = 100t

If we solve both for t and set them equal to each other we have:

\frac{150}{d+200} =\frac{100}{d}

Now we can cross multiply to solve for d:

150d = 100d + 20,000 and

50d = 20,000

d = 400

But we're not looking for the distance the squirrel traveled before the dog caught it, we are looking for how long it took.  So sub that d value back into one of the equations we have solved for t and do the math:

t=\frac{100}{d}=\frac{100}{400} =\frac{1}{4}

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3 years ago
Substitute x = (- 1 + 2√2)/4 in the equation (4x + 1)² - 8 = 0 and check whether the value satisfies the given equation.
kow [346]

The value of  x = (- 1 + 2√2)/4 satisfies the given equation.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.

The equation given is

(4x + 1)² - 8 = 0

x =  (- 1 + 2√2)/4

To check whether it satisfies the equation

( 4 * ( (- 1 + 2√2)/4) +1)² -8 = 0

(-1 + 2√2  +1)² - 8 = 0

(2√2)² -8 = 0

8-8 = 0

As LHS = RHS ,

hence the value of  x = (- 1 + 2√2)/4 satisfies the given equation.

To know more about Equation

brainly.com/question/10413253

#SPJ1

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