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Dominik [7]
3 years ago
14

Paula has a dog that weighs 3 times as much as Carla's. The total weight of the dogs is 48 lb how much does paula dog weigh

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer:

Paula's Dog = 3 * Carla's Dog

A) PD + CD = 48

B) PD - 3 * CD = 0

Multiplying A) by -1

A) -PD -CD = -48 then adding to B)

B) PD -3*CD = 0

-4 * CD = -48

Carla's dog weighs 12 pounds

Paula's dog weighs 36 pounds

Step-by-step explanation:

You might be interested in
Evaluate 5(x + y)2 when x = 3 and y = 9
irakobra [83]

Hey there!

Answer:\boxed{120}

Explanation:

5(x+y)2 when x = 3 and y = 9

Let's first move to x and y.

x=3\\y=9\\3+9=12

Now multiply 5 by x and y(3+9).

5*12(\text{x and y combined)}=60

Now we have the number 2 left, so we have to multiply 60 by 2.

60*2=120

\boxed{120}\text{ is your final answer.}

Hope this helps!

\text{-TestedHyperr}

4 0
3 years ago
A nutrition laboratory wants to construct a 95% confidence interval for the mean sodium content of "reduced sodium" hot dogs. A
tatuchka [14]

Answer:

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

Step-by-step explanation:

Given;

Standard deviation r= 25mg

Width of confidence interval w= 10mg

Confidence interval of 95%

Margin of error E = w/2 = 10mg/2 = 5mg

Z at 95% = 1.96

Margin of error E = Z(r/√n)

n = (Z×r/E)^2

n = (1.96 × 25/5)^2

n = (9.8)^2

n = 96.04

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

6 0
3 years ago
] Monica Geller, head chef at Allesandro's and is looking to update the commercial equipment in her kitchen and bar that will al
liubo4ka [24]

Answer:

The maximum amount that should be spent on the upgrade is $38,298,000.

Step-by-step explanation:

Let the initial purchase be <em>x</em>.

The ROI = 15% of <em>x</em> = 0.15<em>x</em>

At the end of 4 years, salvage value = 10% of <em>x</em> = 0.1<em>x</em>

<em />

Current income per day = $16 × 230 = $3680

Expected income per day = $21 × 245 = $5145

Increase in income per day = $5145 - $3680 = $1465

For 4 years (assuming a year is 365 days),

Increase in income = $1465 × 365 × 4 = $2138900

Maintenance and utility cost for 4 years = 4 × $56000 = $224000

At the end of 4 years,

ROI = $2138900 + salvage value = $2138900 + 0.1<em>x</em> - $224000

0.15<em>x</em> = $1914900 + 0.1<em>x</em>

0.05<em>x</em> = $1914900

<em>x</em> = $38298000

5 0
2 years ago
Read 2 more answers
How do i do this? Its confusing
cestrela7 [59]

Answer:

$12,415.48

Step-by-step explanation:

A = P (1 + r/n)^(nt)

where A is the final amount,

P is the initial amount,

r is the annual interest rate as a decimal,

n is the number of compoundings per year,

and t is the number of years.

A = 8000 (1 + 0.152/2)^(2×3)

A = 8000 (1.076)^6

A = 12415.48

5 0
3 years ago
Carlos gets in a taxi that charges.20 per mile and initial charge of $1.00. Write an expression that Carlos could use to help hi
mina [271]

Answer: .20x+1.00

Step-by-step explanation:

4 0
2 years ago
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