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3 years ago

2. SALES TAX Olivia purchases a DVD movie priced

Mathematics

1 answer:

Nataly_w [17]3 years ago

8 0

Answer:

$23.42

Step-by-step explanation:

To find the sales tax, you need to 6.5% of $21.99
To do this you have to times need to turn 6.5% into a decimal, which is 0.065 (i moved decimal point 2 numbers to the left)
then you do 0.065 × 21.99 which equals 1.42935
now you have to add 21.99 with 1.42935 = 23.41935
because of the context of the question, you need the answer needs to be rounded up to the nearest hundredth.
making the answer $23.42 total

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What is the sum? 3k/k^2+k-7/4K

Aleksandr-060686 [28]

Answer:

$\dfrac{k^2+5k}{4k^2}$

Step-by-step explanation:

A suitable common denominator is 4k^2. (This eliminates the first and last choices.)

$\dfrac{3k}{k^2}+\dfrac{k-7}{4k}=\dfrac{4(3k)}{4(k^2)}+\dfrac{k(k-7)}{k(4k)}\\\\=\dfrac{12k+k^2-7k}{4k^2}=\boxed{\dfrac{k^2+5k}{4k^2}}$

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3 years ago

The ground temperature at an airport is 16 °C. The temperature decreases by 5.6 °C for every increase of 1 kilometer above the g

love history [14]

0 km = 16

1km = 16 - 5,6 = 10,4

2km = 10,4 - 5,6 = 4,8

3km = 4,8 - 5,6 = -0,8

4km = -0,8 - 5,6 = -6,4

5km = -6,4 - 5,6 = -12

3 0

2 years ago

3. James drives for 5 hours at a certain speed and then for 4 hours at a speed 6 km/h greater than his original speed. If he dri

riadik2000 [5.3K]

Answer:30km/hr

Step-by-step explanation:

Total distance=294km

Speed=s

Distance=d

Time=t

First drive:

t=5

d=s x t

d=s x 5

d=5s

Second drive:

t=4

Speed is 6km/h greater than the first speed

The new speed= s+6

d=4(s+6)

Total distance=294

5s + 4(s + 6)=294

5s + 4s + 24=294

Collect like terms

5s + 4s=294 - 24

9s=270

Divide both sides by 9

9s/9=270/9

s=30

First speed=30km/hr

4 0

3 years ago

Find the percent change:<br><br> $350 to $400

skad [1K]

Answer:

14.29% increase

Hope this helps!

7 0

2 years ago

Read 2 more answers

A 10-ft vertical post casts a 14-inch shadow at the same time a nearby cell phone tower cast a 119-ft shadow. How tall is the ce

Yakvenalex [24]

Answer:

The cellphone towers height is 1020 ft.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

A 10-ft post casts a 14-inch shadow.

Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?

10 feet post - 1.167 ft shadow

x feet tower - 119 feet shadow

Applying cross multiplication:

$1.167x = 10*119$

$x = \frac{1190}{1.167}$

$x = 1020$

The cellphone towers height is 1020 ft.

8 0

3 years ago