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bija089 [108]
2 years ago
9

Carrie spent  1 /4  of her allowance on a shirt,  1 /3  of her allowance on a skirt, and $8 on a belt. If she spent $22 in all,

how much was Carrie’s allowance?
Equation:  1 /4 a + 1 /3 a + 8 = 22

Carrie’s allowance was ______$.

Mathematics
2 answers:
wel2 years ago
7 0

Answer:

Carrie’s allowance was $24.

Step-by-step explanation:

charle [14.2K]2 years ago
6 0

Hi There!

Answer:

$24

Step-by-step explanation:

= 1/4 + 1/3

= 3/12 + 4/12

= 7/12

7/12a + 8 = 22

Subtract 8 to both sides of the equation.

7/12a + 8 - 8 = 22 - 8

Simplify

7/12a = 14

Switch

a = 12/7 * 14

Simplify

a = $24

Hope This Helps :)

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leonid [27]

Answer:

Milk consumed in 30 days = (30 days)(3.25 litres/day) = 97.5 litres

Step-by-step explanation:

You are given a rate at which the milk is consumed (3.25 litres per 1 day). This is just multiplied by the 30 days to get your answer.

5 0
2 years ago
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The population can be modeled by P(t) = 82.5 − 67.5cos⎡ ⎣(π/6)t ⎤ ⎦, where t is time in months (t = 0 represents January 1) and
Fed [463]

Answer:

The intervals in which the population is less than 20,000 include

(0 ≤ t < 0.74) and (11.26 < t ≤ 12)

Step-by-step explanation:

P(t) = 82.5 - 67.5 cos [(π/6)t]

where

P = population in thousands.

t = time in months.

During a year, in what intervals is the population less than 20,000?

That is, during (0 ≤ t ≤ 12), when is (P < 20)

82.5 - 67.5 cos [(π/6)t] < 20

- 67.5 cos [(π/6)t] < 20 - 82.5

-67.5 cos [(π/6)t] < -62.5

Dividing both sides by (-67.5) changes the inequality sign

cos [(π/6)t] > (62.5/67.5)

Cos [(π/6)t] > 0.9259

Note: cos 22.2° = 0.9259 = cos (0.1233π) or cos 337.8° = cos (1.8767π) = 0.9259

If cos (0.1233π) = 0.9259

Cos [(π/6)t] > cos (0.1233π)

Since (cos θ) is a decreasing function, as θ increases in the first quadrant

(π/6)t < 0.1233π

(t/6) < 0.1233

t < 6×0.1233

t < 0.74 months

If cos (1.8767π) = 0.9259

Cos [(π/6)t] > cos (1.8767π)

cos θ is an increasing function, as θ increases in the 4th quadrant,

[(π/6)t] > 1.8767π (as long as (π/6)t < 2π, that is t ≤ 12)

(t/6) > 1.8767

t > 6 × 1.8767

t > 11.26

Second interval is 11.26 < t ≤ 12.

Hope this Helps!!!

3 0
2 years ago
The average starting salary for graduates at a university is $25,000 with a standard deviation of $4,000. if a histogram of the
kirill115 [55]
The empirical rule says 68% of the distribution should fall within one standard deviation of the mean, so you should expect salaries between \$25000-\$4000=\$21000 and \$25000+\$4000=\$29000
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2 years ago
a new coffee shop can hold no more than 50 seats the owner wants at least 20 of the seats to be stools and the remaining seats t
Snezhnost [94]

Attached

Step-by-step explanation:

From the question x is the number of stools and y is the number of recliners

Given that the coffee shop can hold no more than 50, then the inequality for number of seats will be;

x+y≤ 50

Also, the owner wants at least 20 of the seats to be stools, this can be written as;

x≥20

Using a graph tool to visualize the inequalities, you get the attached graph;

Learn More

Inequalities graph : brainly.com/question/11234618

Keyword : graph, inequalities

#LearnwithBrainly

7 0
2 years ago
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Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,
xeze [42]

Answer:

D. x-\frac{5}{2}y =  \frac{25}{2}

Step-by-step explanation:

Given

y = \frac{2}{5}x - 5

Required

Determine its equivalent

<em>From the list of given options, the correct answer is</em>

x - \frac{5}{2}y = \frac{25}{2}

This is shown as follows;

y = \frac{2}{5}x - 5

Multiply both sides by \frac{5}{2}

\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)

Open Bracket

\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5

\frac{5}{2}y = x - \frac{25}{2}

Subtract x from both sides

\frac{5}{2}y - x = x -x - \frac{25}{2}

\frac{5}{2}y - x = - \frac{25}{2}

Multiply both sides by -1

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-\frac{5}{2}y + x =  \frac{25}{2}

Reorder

x-\frac{5}{2}y =  \frac{25}{2}

<em>Hence, the correct option is D</em>

x-\frac{5}{2}y =  \frac{25}{2}

9 0
2 years ago
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