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Natasha_Volkova [10]

2 years ago

14

A snail is travelling at 0.4 millimetres per second. Work out the snail's speed in metres per hour. Show clear working out witho

ut a calculator

1 answer:

GrogVix [38]2 years ago

6 0

60 sec=1 min so 3600sec in a hour .4mm=0.0004meters in a hours time the snail would have moved 1440mm or
(1.44mph)

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A craft vendor must sell at least $300 worth of merchandise to make a profit. Scarves sell for $10 each and hats sell for $20 ea

valina [46]

There is a missing graph in the problem given. However, we can simply solve the equation using the given data.

Items to be sold: scarves and hats. Minimum of 20 items sold in all.
Scarves sell for 10 each and hats sell for 20 each. Must sell at least 300 worth of merchandise to make profit.

Let s represent scarves and h represent hats.

10s + 20h <u>></u> 300
s + h <u>></u> 20

We use inequality because the problem states "at least".

s + h = 20
10s + 20h = 300

s = 20 - h
10(20-h) + 20h = 300
200 - 10h + 20h = 300
10h = 300 - 200
10h = 100
h = 100/10
h = 10

s = 20 - h
s = 20 - 10
s = 10

s + h <u>></u> 20
10 + 10 <u>></u> 20

10s + 20h <u>></u> 300
10(10) + 20(10) <u>></u> 300
100 + 200 <u>></u> 300

7 0

1 year ago

Read 2 more answers

What is 2 (log Subscript 3 Baseline 8 + log Subscript 3 Baseline z) minus log Subscript 3 Baseline (3 Superscript 4 Baseline min

Ilya [14]

Answer:

Value of expression in single logarithm is $\log_3\left(2z^2\right)$ .

Step-by-step explanation:

Given expression is,

$2\left(\log_3\left(8\right)+\log_3\left(z\right)\right)-\log_3\left(3^4-7^2\right)$

Now using logarithmic rule to solve the expression as follows,

Applying product rule of logarithmic,

$\log_c\left(a\right)+\log_c\left(b\right)=\log_c\left(ab\right)$

Therefore,

$2\log_3\left(8z\right)-\log_3\left(3^4-7^2\right)$

Applying power rule of logarithmic,

$a\log_c\left(b\right)=\log_c\left(b^a\right)$

Therefore,

$\log_3\left(\left(8z\right)^2\right)-\log_3\left(3^4-7^2\right)$

$\log_3\left(\left(64z^2\right)\right)-\log_3\left(3^4-7^2\right)$

Applying quotient rule of logarithmic,

$\log_c\left(a\right)-\log_c\left(b\right)=\log_c\left(\frac{a}{b}\right)$

Therefore,

$\log_3\left(\dfrac{\left(64z^2\right)^2}{3^4-7^2}\right)$

Simplifying,

$\log_3\left(\dfrac{\left(64z^2\right)^2}{81-49}\right)$

$\log_3\left(\dfrac{\left(64z^2\right)^2}{32}\right)$

$\log_3\left(2z^2\right)$

Therefore value of expression is $\log_3\left(2z^2\right)$

6 0

2 years ago

Read 2 more answers

-4(3/2x - 1/2) = -15

adelina 88 [10]

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

4 0

1 year ago

You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4000 per mont

Molodets [167]

Answer:

$311.74

Step-by-step explanation:

A financial calculator computes the payment amount to be $311.74.

___

Your graphing calculator may have the capability to do this. Certainly, such calculators are available in spreadsheet programs and on the web.

___

The appropriate formula is the one for the sum of terms of a geometric series.

Sn = a1·((1+r)^n -1)/(r) . . . . . where r is the monthly interest rate (0.005) and n is the number of payments (480). Filling in the given numbers, you have ...

$620827.46 = a1·(1.005^480 -1)/.005 = 1991.4907·a1

Then ...

$620827.46/1991.4907 = a1 ≈ $311.74

7 0

2 years ago

Larji bought a dozen ears of corn. She prefers yellow corn, which costs 40 cents an ear, and her siblings prefer the peaches and

Murrr4er [49]

Answer: x+y =12

0.40x+0.50y =5.70

Step-by-step explanation:

Let x = Number of ears of yellow corn

y - Number of ears of peaches and cream variety.

AS per given,

x+y = 1 dozen

⇒ x+y =12 [1 dozen =12]

Cost per ear of yellow corn = 40 cents = $0.40 [1 dollar = 100 cents, 1 cent = 0.01 dollar]

Cost per ear of peaches and cream variety = 50 cents = $ 0.50

Total cost ( in$): 0.40x+0.50y =5.70

Required system of equations represents the number of ears of corn of each type that Larji purchased:

x+y =12

0.40x+0.50y =5.70

8 0

2 years ago

Read 2 more answers