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jeyben [28]
3 years ago
15

Tanya drove 3 1/2 hours and used 1/3 tank of gas.

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0
Hey this was my attempt to help explain the answer

Alex777 [14]3 years ago
6 0

Answer: 5\frac{1}{4}\ hours


Step-by-step explanation:

Given: Tanya drove car in \frac{1}{3} tank of gas=   3\frac{1}{2} hours =\frac{7}{2} hours

Tanya drove car in a full tank of gas = \frac{\frac{7}{2}}{\frac{1}{3}}=\frac{7}{2}\times3=\frac{21}{2} hours

Tanya drove car in \frac{1}{2} tank of gas=\frac{21}{2}\times\frac{1}{2}=\frac{21}{4}=5\frac{1}{4}\ hours

Hence, Tanya drove 5\frac{1}{4}\ hourscar in \frac{1}{2} tank of gas.


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7/5 miles in 2/3 hour, what is the unit rate?
Murljashka [212]

Answer:

= 3.5 miles per hour

Showing Work

This is a fraction equal to

7 miles ÷ 2 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7 miles ÷ 2

2 hours ÷ 2

=

3.5 miles

1 hour

=

3.5 miles

hour

= 3.5 miles per hour

3 0
2 years ago
What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = -6?
Dmitrij [34]

Answer:

y = \frac{3}{2} x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - 2y = - 6 into this form

Subtract 3x from both sides

- 2y = - 3x - 6 ( divide all terms by - 2 )

y = \frac{3}{2} x + 3 ← in slope- intercept form

with slope m = \frac{3}{2}

• Parallel lines have equal slopes, hence

y = \frac{3}{2} x + c ← partial equation of parallel line

To find c substitute (4, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = \frac{3}{2} x - 4 ← equation of parallel line

3 0
3 years ago
Find the cardinal number of 200, 201,202,203,...,1099​
klasskru [66]

Answer:

there is a thing called you can use that

Step-by-step explanation:

5 0
3 years ago
50 POINTS!! HELP!
Minchanka [31]

i dont have time to do all of it (sorry)

but this is how you do the point and slope questions:

use the equation: y-y1 = m(x - x1)

y1 is the y point you are given

x1 is the x point you are given

m is your slope

substitute all of those in from the question

the first one is:

y --4 = -5/6(x-8)

-- turns into a plus so the answer would be

y+4 = -5/6(x-8)

6 0
3 years ago
To compare two products such as colas, a random sample is selected to taste two types of colas (A and B). Each selected subject
Nadya [2.5K]

Answer: The sample size would be needed = 385

Step-by-step explanation:

Let p be the prior population proportion.

Margin of error = E

When not estimate of p is given , the formula to calculate the minimum sample size <em>n</em> = 0.25(\dfrac{z^*}{E})^2 , where z* = critical value for given confidence interval.

Here z* for 95% confidence level is 1.96.

E=5%=0.05

Then n=0.25(\dfrac{1.96}{0.05})^2\approx385

Hence, the sample size would be needed = 385

8 0
3 years ago
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