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3 years ago

Caleb purchases 5 beach towels for d dollars each. Each towel is charged an additional 6% sales tax.

1 answer:

6 0

The correct expressions are:
5.3d
5d+0.3d
5(d+0.06d)

Since he is purchasing 5 towels that have a cost of d dollars each, the cost of the towels is given by 5d.

However, to add 6% tax, we multiply this by 0.06 and add it to the price without tax:
5d+0.06(5d)

Simplifying this, we have 5d+0.3d = 5.3d.

All of the correct answers simplify to this expression.

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Six houses are located along the same road; the distances are shown. Where should the school bus stop to make the sum of distanc

sukhopar [10]

Hey there :)

Now lets name each house

A B C D E F
500ft <-> 500ft <-> 500ft <-> 500ft <-> 500ft <-> 2000ft

Let's say the bus stops at A
= 0 ( from A ) + 500 ( from B ) + 500 + 500 ( from C ) + 500 + 500 + 500 ( from D ) + 500 + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 500 + 2000 ( from F )
= 0 + 500 + 1000 + 1500 + 2000 + 4000
= 9000 ft

at B
= 500 ( from A ) + 0 ( from B ) + 500 ( from C ) + 500 + 500 ( from D ) + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 2000 ( from F )
= 500 + 0 + 500 + 1000 + 1500 + 3500
= 7000 ft

at C
= 500 ( from A ) + 500 + 500 ( from B ) + 0 ( from C ) + 500 ( from D ) + 500 + 500 ( from E ) + 500 + 500 + 2000 ( from F )
= 500 + 1000 + 0 + 500 + 1000 + 3000
= 6000 ft

Do the same for D , E and F

at D
= 6000 ft

at E
= 7000 ft

at F
= 15000 ft

You will find that the bus should stop at either C or D to make the sum of distances from every house to the stop as small as possible.

8 0

2 years ago

Read 2 more answers

Been stuck on these last 2 questions. can anybody help? thanks in advance!

Maurinko [17]

The equation that passes through the point (7, -2) and (11, 5) is y = 4/7x - 9

Equation of the line:

The standard form of the equation of the line is written as

y = mx + b

here

x and y represents the coordinates of the equation

m refers the slope of the equation

b refers the y intercept of the equation

Given,

Here we have the points (7, -2) and (11, 5).

Now we have to find the equation that passes through this points.

If you want to find the equation of the line, we have to find the slope and the intercept of the line.

The slope of the line is calculated by using the given point (7, -2) and (11, 5),

=> m = (11 - 7) / ( 5 - (-2))

=> m = 4/7

Now, we have to use the slope and the point (11, 5) to find the value of y intercept of the equation,

=> 5 = (4/7) (11) + b

=> 35 = 44 + b

=> b = -9

Therefore, the equation that passes through the points is y = 4/7x - 9

To know more about equation of the line here.

brainly.com/question/21511618

#SPJ1

4 0

7 months ago

Karen and her friends went to dinner at Olive Garden. Their bill was $58 including tax.

tester [92]

Answer:

$69.60

Step-by-step explanation:

58 increase 20% =

58 × (1 + 20%) = 58 × (1 + 0.2) = 69.6

6 0

2 years ago

Write an equation, and express the product in standard form.

rosijanka [135]

Answer: 3 copies of 5 tenths = 3*0.5 = 1.5

Step-by-step explanation:

Ok, if we have:

"3 copies of a number B"

This is written as:

3*B

And we have that the number B is "5 tenths"

Now, a tenth is the first digit after the decimal point.

Then 5 tenths = 5*0.1 = 0.5

B = 0.5

3 copies of 5 tenths = 3*0.5 = 1.5

7 0

2 years ago

What is the volume of the composite space figure to the nearest whole number?

Firdavs [7]

Check the picture below.

the volume of a rectangular prism is just the product of its 3 dimensions, so the volume of those two there is 4*9*6 and 3*6*5.

so the volume for the composite figure is just the sum of those two products.

6 0

2 years ago