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3 years ago

15

Max travels to see his brother's family by car. he drives 216 miles in 4 hours. What is his rate in miles per hour? use a double

number line to show your work.

1 answer:

pochemuha3 years ago

6 0

Answer:

54 miles per hour

Step-by-step explanation

If you divide the number of miles (216) by the hours (4) you get 54.

Hope this help :)

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100 POINTSbrainlest to the person who get it right

Zina [86]

Answer:

[1] x² - 4/2x - 4

3² - 4/2 × 3 - 4 = 9 - 4/2
5/2

[2] 4 - 3x/2x + 4

4 - 3 × 2/2 × 2 + 4 = 2/8
1/4

[3] x²/2x² - 2

0²/2 × 0² - 2
0

[4] x² + 5/5 - x

- 2² + 5/5 + 2 = 4 + 5/7
9/7

[5] - x³/x² - 4

- 1³/-1² - 4 = - 1/1 - 4
1/3

[6] x + 3/x³ - 1

- 3 + 3/- 3³ - 1 = 0/- 27 - 1
0

[7] 5 - x²/3x²

5 - (- 4)²/3 × - 4² = 5 - 16/3 × 16
- 11/48

[8] - 2x + 6/2x³ - 3

- 2 × - 2 + 6/2 × - 2³ - 3
10/- 19

[9] 4x²/- 3x² + 1

4 × 1²/- 3 × 1² + 1 = 4/- 2
- 2

[10] 4x - 1/6x + 1

4 × 3 - 1/6 × 3 + 1
11/19

[11] x² - 1/x² + 1

1² - 1/1² + 1 = 0/2
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8 0

3 years ago

Read 2 more answers

There 10 people inside the house then the house caught on fire but only 2/3 escaped how much is still in the building?

slega [8]

Answer:

6.67 is the awnser or 6.6666666666

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

13. For the arithmetic sequence: 6, 12, 18, 24,...

serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6$

The general form for arithmetic sequence is:

$a_n=a_1+(n-1)d$

Putting the values for a_1 and d

$a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n$

<u>a) Find a15</u>

$a_{15} = 6(15)\\=90$

<u>b) Write an equation for the nth term.</u>

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

The perimeter of a rectangular field is 354 yards. If the width of the field is 82 yards, what is its length

GenaCL600 [577]

Length is 95 yards.

The perimeter of a rectangle is the sum of four sides. The four sides are either its length or width.

A rectangle has four sides where its angles are all right angles and its opposite sides are congruent or of equal size.

Perimeter = 2length + 2width ==> P = 2L + 2W

354 = 2L + 2(82)
354 = 2L + 164
to get the length. we must transfer all like signs.
2L = 354 - 164
2L = 190
2L / 2 = 190 / 2
L = 95 yards.

4 0

4 years ago

Read 2 more answers

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that

Harman [31]

Answer:

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There is no significant difference between their counterparts across the nation

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the U.S residents = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:</em></u>H₀:

There is no significant difference between their counterparts across the nation

<u><em>Alternative Hypothesis:-</em></u>H₁:

There is a significant difference between their counterparts across the nation

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }$

t = 1.3788

Degrees of freedom

ν = n-1 = 38-1 = 37

t₀.₀₅ ,₃₇ = 2.0262

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

<u><em>Final answer:-</em></u>

There is no significant difference between their counterparts across the nation.

5 0

3 years ago