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2 years ago

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Ms. Nguyen needs to separate $385 into three parts to pay some debts. The second part must be five times as large as the first p

art. The third part must be $35 more than the first part. How much money must be in each part? Write and solve an equation.

1 answer:

stira [4]2 years ago

8 0

Answer:

The first, second and third parts are $50, $250 and $85 respectively.

Step-by-step explanation:

Consider the provided information.

Ms. Nguyen needs to separate $385 into three parts to pay some debts.

Let the first part to pay some debts is represented by x.

The second part must be five times as large as the first part.

Thus, the second part is: 5x

The third part must be $35 more than the first part.

Thus, the third part is: x+35

Therefore, the required equation is: $x+5x+x+35=385$

$7x+35=385$

$7x=385-35$

$7x=350$

$x=50$

Hence, the first part should be $50.

The second part should be: 5x=5(50)=$250

The third part should be: x+35=50+35=$85

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Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

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Given, Carlas charges $10 for each regular driveway.

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And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $ $(10+7.50)$ = $17.50.

For (x-3) large driveways Carlos will charge = $ $(17.50)(x-3)$ = $ $(17.50x - 52.50)$

Given, the total amount he makes = $140

So we can write the equation as,

$10x + 17.50x - 52.50 = 140$

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We will move 52.50 to the right side by adding it to both sides. We will get,

$27.50x - 52.50 + 52.50 = 140 + 52.50$

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Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

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So we have got the required answer.

The number of regular driveways Carlos shovel = 7.

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Which decimal is equivalent to \dfrac{4}{3} 3 4 start fraction, 4, divided by, 3, end fraction? Choose 1 answer: Choose 1 answ

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Answer:

The correct option is option D.

Step-by-step explanation:

Any fraction number $\frac mn$ (m>n ) can be written as $a\frac bn$

where a = quotient

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An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the ra

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Answer:

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

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$V(X) = E(X^2)-[E(X)]^2=349.2-(18.6)^2=3.24$

The expected price paid by the next customer to buy a freezer is $466

Step-by-step explanation:

From the information given we know the probability mass function (pmf) of random variable X.

$\left|\begin{array}{c|ccc}x&16&18&20\\p(x)&0.3&0.1&0.6\end{array}\right|$

<em>Point a:</em>

The Expected value or the mean value of X with set of possible values D, denoted by <em>E(X)</em> or <em>μ </em>is

$E(X) = $\sum_{x\in D} x\cdot p(x)$

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The variance of X, denoted by V(X), is

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