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sp2606 [1]
3 years ago
15

The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,

what is the total cost on a $55 item
Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
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Vaselesa [24]
4/5 = 0.8

.8 * 450 = 360 miles
3 0
3 years ago
. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
Alex Ar [27]

Answer:

It will take him

\frac{1}{2}

of a minute to fill the bottle.

Step-by-step explanation:

I'm really not sure this is right but..

we can solve using proportions. Cross-multiply and divide.

\frac{ \frac{1}{3} of \: a \: water \: bottle}{\frac{1}{6} minute} \:  =  \frac{ \frac{3}{3} of \: a \: water \: bottle}{x}  \\  \\  \frac{ \frac{1}{6} }{ \frac{1}{3} }  =  \frac{ \frac{1}{3} x}{ \frac{1}{3} }  \\  \\  \frac{1}{2}  = x

5 0
3 years ago
Find the mean of:<br> 16 32 10 28 8 19 32 26<br> 33 39 98 399
iren2701 [21]

Answer:

91.125

Step-by-step explanation:

Total number/ Total number of quantity

16+32+10+28+8+19+32+26+33+39+98+399

729

Divode by number of quantity (8)

729/8

=91.125

Hope this helps, dont hesitate to Ask in comment below. Mark me as brainliest also appriciated!!

5 0
3 years ago
Consider the scatter plot.
Leno4ka [110]

<u>Answer:</u>

The correct answer option is: The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

<u>Step-by-step explanation:</u>

We are given a scatter plot with a best fit line as shown on the given graph.

The equation of the best fit line is given by:

y = 0.75x + 5

So with the help of the equation and by looking at the given graph, we can conclude about the representation of the y intercept that the the y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

Since the distance shown on the y axis is already 5 when the time started at 0 minutes.

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=if%20a%20%3A%20b%20%3D%202%20%3A%203%20and%20b%20%3A%20c%20%3D%204%20%3A%205%20than%20find%20a
grigory [225]

Answer:

<em>a:b:c=8:12:15</em>

Step-by-step explanation:

<u>Combined Ratio</u>

We are given the ratios:

a:b=2:3

b:c=4:5

The combined ratio a:b:c will include all three variables in one single expression.

Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:

a:b=2:3=(2*4):(3*4)=8:12

b:c=4:5=(4*3):(5*3)=12:15

Now there is a common factor in both ratios, we can combine them removing the common factor:

a:b:c=8:12:15

8 0
2 years ago
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