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2 years ago

Solving a decimal word problem using a linear equation of the for...

Mathematics

1 answer:

Sindrei [870]2 years ago

6 0

Answer:

5 pounds of coffee

Step-by-step explanation:

Let the number of pounds of coffee bought be 'x'.

Given:

Value on gift card = $90

Value of coffee per pound = $8.09

Money left after buying coffee = $49.55

Now, using unitary method,

1 pound cost = $8.09

∴ 'x' pounds cost = $8.09x$

Now, Money left = Total money on gift card - Cost of coffee.

$49.55=90-8.09x\\\\8.09x=90-49.55\\\\8.09x=40.45\\\\x=\frac{40.45}{8.09}=5$

Therefore, Lashonda bought 5 pounds of coffee.

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Explain how you know without computing whether the quotient of 1/2 divided by 6 is greater than or less than 1

Ganezh [65]

It is less than 1, because 1/2 is also .5, so that is already less than 1 whole.
Also, any number under 6 divided by 6 (for example: 5 divided by 6, 3 divided by 6) has to be less than one, since 6 can't evenly go into a number lower than it.

6 0

3 years ago

Helppppp MARKED BRAINLYEST

bagirrra123 [75]

Slope formula= rise/run

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2 years ago

Read 2 more answers

F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over

mel-nik [20]

Answer:

$A(x) = 243$

Step-by-step explanation:

Given

$f(x) = x^3 - 9x$

$Interval: (12,6)$

Required

Determine the average rate of change

Average rate is calculated as thus;

$A(x) = \frac{f(b) - f(a)}{b - a}$

Calculating f(12)

$f(12) = 12^3 - 9 * 12$

$f(12) = 1728 - 108$

$f(12) = 1620$

Calculating f(6)

$f(6) = 6^3 - 9 * 6$

$f(6) = 216 - 54$

$f(6) = 162$

Substitute 12 for b and 6 for a in $A(x) = \frac{f(b) - f(a)}{b - a}$

$A(x) = \frac{f(12) - f(6)}{12 - 6}$

Substitute values for f(6) and f(12)

$A(x) = \frac{1620 - 162}{12 - 6}$

$A(x) = \frac{1458}{ 6}$

$A(x) = 243$

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2 years ago

54% of 76.8 = ___ estimate

LekaFEV [45]

The answer is: 41.256 (You round it to the number that you're required to round it)

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3 years ago

Carol's starting pay for her summer job is $10.25 per hour. Carol earns exactly 3 raises this summer.

kvv77 [185]

She starts off with $10.25 and gets a raise of $0.50, so she earns $10.75 per hour. Then she gets a raise of 10%, so then 10.75 x 0.10 = 1.075, so she earns $11.825 per hour. Then her third raise is $0.50 so she earns $12.325 per hour. The raise for next summer is 5%, so 12.325 x 0.05 = 0.61625, so she earns $12.94125.
She will earn about $12.94 per hour starting off next summer.

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2 years ago