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2 years ago

Can somebody please help me with this please?

Mathematics

1 answer:

klasskru [66]2 years ago

8 0

5q + 5

= 5 · q + 5 ·1 ------->factor

= 5(q + 1) ------------->distributive property

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In a cash drawer there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each ty

WINSTONCH [101]

Let us take number of $5 bills = x and

number of $10 bills = y.

Give that "number of $10 bills is twice the number of $5 bills".

So, y is twice of x,

We can setup an equation.

y= 2x ............................... equation(1)

Total value of all bills = $125.

We can setup another equation,

5*(number of $5 bills) + 10*(number of $10 bills) =125.

5(x) +10(y) = 125 ................................... equation(2)

Plugging y=2x in equation(2), we get

5(x) +10(2x) = 125 .

5x+20x = 125.

Adding like terms

25x = 125

Dividing both sides by 25.

25x /25 = 125/25

x= 5.

Plugging x=5 in first equation, we get

y= 2(5) = 10.

Therefore, number of number of $5 bills=5 bills and number of $10 bills = 10 bills.

5 0

2 years ago

A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

Dennis_Churaev [7]

Answer:

Margin of error at 90% is 0.024

Margin of error at 99% is 0.037

Step-by-step explanation:

Sample size = 1076

A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.

So, No. of adults said they believe ghosts = $\frac{64}{100} \times 1076=688.64\sim 688$

So, x = 688

n = 1076

$\widehat{p} = \frac{x}{n}$

$\widehat{p} = \frac{688}{1076}$

$\widehat{p} = 0.639$

$ME=z \times \sqrt{\frac{\widehat{p}(1-\widehat{p})}{n}}$

z at 90% confidence is 1.64

$ME=1.64 \times \sqrt{\frac{0.639(1-0.639)}{1076}}$

$ME=0.024$

So, margin of error at 90% is 0.024

Find the margin of error needed to be 99% confident.

z at 99% confidence is 2.58

$ME=2.58 \times \sqrt{\frac{0.639(1-0.639)}{1076}}$

$ME=0.024$

So, margin of error at 99% is 0.037

5 0

2 years ago

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,

Andrej [43]

Answer:

A. $18

B. $200

C. $p\in (16,20)$

Step-by-step explanation:

Function:

$f(p) = -50p^2 + 1,800p - 16,000$

<u>Parts A and B:</u>

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

$p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200$

The price that generates the maximum profit is $18

The maximum profit is $200

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all $p\in (16,20)$ , so the positive profit is for $p\in (16,20)$

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

7 0

2 years ago

The population of a town can be modeled by the regression equation y = 20,000(1.03x). Which is the best prediction for the popul

bixtya [17]

Answer:

The best prediction for the population in year 25 is $41,876\ people$

Step-by-step explanation:

we have a exponential function of the form

$y=a(b^{x})$

where

a is the initial value

b is the base

In this problem

$a=20,000\ people$

$b=1.03$

$b=1+r$

$r=b-1=1.03-1=0.03$

$r=3\%$

$y=20,000(1.03^{x})$

For $x=25\ years$

substitute

$y=20,000(1.03^{25})$

$y=41,875.56\ people$

Round up

$y=41,876\ people$

4 0

2 years ago

Read 2 more answers

The equation r = 6t gives the number of albums released, r, by a record label over time in years, t. If you graph this relations

GalinKa [24]

R = 6t.....subbing in (8,48).....t = 8 and r = 48
48 = 6(8)
48 = 48 (correct)

r = 6t...subbing in (13,78)...t = 13 and r = 78
78 = 6(13)
78 = 78 (correct)

so u have 2 sets of points on this line and they are (8,48) and (13,78)

5 0

2 years ago

Read 2 more answers