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2 years ago

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Paul is 2 years younger than patricia. Daniel is 25% older than Patricia. Ten years ago, Daniel was 50% older than Patricia. How

old is paul currently.

1 answer:

Nostrana [21]2 years ago

7 0

Daniel is 25% older than Patricia. Ten years ago, Daniel was 50% older than Patricia.

That gives us the equations 1.25d=p and 1.5(d−10)=(p−10). Solving gives us 25 for Daniel and 20 for Patricia.

Paul is two years younger than Patricia.

20−2=18

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Which is the equivalent of 12.42 written in DMS form?

nika2105 [10]

12.42

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12°25'+.2(60)

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2 years ago

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The weight of a USB flash drive is 30 grams and is normally distributed. Periodically, quality control inspectors at Dallas Flas

vazorg [7]

Answer:

The critical t values are -1.746 and 1.746.

Step-by-step explanation:

Given information:

The weight of a USB flash drive is 30 grams and is normally distributed.

Population mean = 30

Sample size = 17

Sample mean= 31.9

Standard deviation = 1.8

Significance level, α=0.10

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Alternative hypothesis: $H_1:\mu\neq 30$

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2 years ago

Wesley and brian have a total of 87 baseball cards. Wesley have 30 less than twice as many cards as brian. How many baseball car

d1i1m1o1n [39]

Brian has 39 cards and Wesley has 48 cards

Step-by-step explanation:

Let w be the number of cards Wesley has

and

b be the number of cards Brian has

Then

$w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2$

Putting w = 2b-30 in equation 1

$2b-30+b = 87\\3b = 87+30\\3b = 117$

Dividing both sides by 3

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Putting b=39 in equation 2

$w = 2(39)-30\\w = 78-30\\w = 48$

Hence,

Brian has 39 cards and Wesley has 48 cards

Keywords: Linear equations, variables

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2 years ago

Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches

sergeinik [125]

Answer:

$\large \boxed{\text{5.00 lb}}$

Step-by-step explanation:

$\begin{array}{rcl}1.20x + 3.60 & \leq & 9.60\\1.20x & \leq & 6.00\\x &\leq & \mathbf{5.00}\\\end{array}\\\text{Rammy can buy $\large \boxed{\textbf{5.00 lb}}$ of peaches.}$

Check:

$\begin{array}{rcl}1.20(5.00) + 3.60 & \leq & 9.60\\6.00 + 3.60 & \leq & 9.60\\9.60 & \leq & 9.60\\\end{array}$

OK.

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2 years ago

What is the quotient (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

MrRa [10]

Answer:

Quotient: $2x^2+x-3$

Please see the attachment.

Step-by-step explanation:

Given: $(2x^4-3x^3-3x^2+7x-3)\div (x^2-2x+1)$

We are given rational expression and need to find quotient.

Using long division method to find the quotient.

First we get rid of $2x^4$ by $x^2$

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$-2x^4+4x^3-2x^2$

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$-3x^2+6x-3$

$3x^2-6x+3$

$0$

Hence, The quotient of division is $2x^2+x-3$

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2 years ago

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