The Rodriquez family is taking a 1,430-mile train ride. If the train travels 55 miles per hour, how many hours will the ride last?

Answer:

6

Step-by-step explanation:

2

Answer:

Step-by-step explanation:

Here is the equation for this problem:

2 1/2 + 1 3/4 + x = 12

To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)

3/2 + 7/4 + x = 12

The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)

3 x 2 = 6

2 x 2 = 4

Now, the equation looks like this:

6/4 + 7/4 + x = 12

Now add the fractions. The denominator stays the same, but the numerators are added together.

6/4 + 7/4 = 13/4

Now, you can revert 13/4 back to a mixed number

13/4 = 3 1/4

The equation should look like this now:

3 1/4 + x = 12

Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)

12 - 3 1/4 = 8 3/4

Now, it should look like this:

x = 8 3/4

You could change the 8 3/4 into a decimal as well, which would look like this:

x = 8.75

Here is a summary of the whole equation:

2 1/2 +  1 3/4 + x = 12

3/2 + 7/4 + x = 12

6/4 + 7/4 + x = 12

13/4 + x = 12

3 1/4 (-3 1/4) + x = 12 (-3 1/4)

x = 8 3/4 or 8.75 acres

Answer:

Lisa has 8 3/4 acres left for home sites

There will be 7.75 acres of land left for home sites.

Mixed fractions are type of fractions which includes both a whole part and a fractional part.

It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a +  [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.

Total land for housing development = 12 acres

Land covered by park = 2 [tex]\frac{1}{2}[/tex]

                                     = (2 × 2 + 1) / 2

                                     = 5/2 acres

Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]

                                                  = (1 × 4 + 3) / 4

                                                  = 7/4 acres

Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{17}{4}[/tex]

                                                                           = 4.25 acres

So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])

                                     = 12 - 4.25

                                     = 7.75 acres

Hence Lisa can build the home sites in the remaining 7.75 acres of land.

To learn more about Mixed Fractions, click :

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Answer:

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to first simplify and take the absolute value:

x+2+x+2-x+5

Now you need to simplify

x+9

So, the rewritten form of the equation is x+9

Answer:

30

Step-by-step explanation:

use Pythagoras theorem

hypothenuse of bottom triangle =√24^2+32^2 = 40

x =√50^2-40^2 = 30

2.4x+2.8=10

Use inverse operations to find for x!

x= 3

Answer:

Step-by-step explanation:

To start with we can consider how many possibilities there are for the first card which is obviously 52, as any one of the cards in the deck can be found on the top of the pile. The next card is a bit trickier as there are only 51 possible cards that it could be as the  first card takes up a spot. The third card now only has 50 possible cards it could and this continues all the way down to the last card.

is that good

Answer:

1432.08 centimeters^2 I think

Step-by-step explanation:

Surface Area = 2×(3.4×18 + 3.4×30.6 + 18×30.6) = 1432.08 centimeters2

Answer: tbh its not a

Step-by-step explanation: i just know

Answer:

Answer is C.      2, -4,

Step-by-step explanation:

Answer:

(11,8)

Step-by-step explanation:

9+2=11

5+3=8

Answer:

(11,8)

9+2=11

5+3=8

Answer:

[tex]A.) -67,~ \sqrt{81},~ \dfrac 75[/tex]

Step-by-step explanation:

[tex]\text{A rational number is a number that is expressed as the ratio of two integers.}[/tex]

Answer:

125, 100, 80,64,51.2,40.96...

Step-by-step explanation:

y=[tex]\frac{4}{5}[/tex]x

So let's work backwards!

[tex]\frac{5}{4}[/tex](80)

=100

Then...

[tex]\frac{5}{4}[/tex](100)

=125

Hope this helps! :D

Answer:

  125, 100

Step-by-step explanation:

Perhaps the terms of your series are supposed to be ...

  __, __, 80, 64, 51.2, 40.96, ...

The common ratio is 64/80 = 0.8, so the recursive relation is ...

  t[n] = 0.8×t[n-1]

__

Solving for the previous term, we find ...

  t[n]/0.8 = t[n-1] . . . . . . divide by 0.8

or ...

  t[n-1] = 1.25×t[n] . . . . . rearrange

Then the term previous to 80 is 1.25×80 = 100.

And the term previous to 100 is 1.25×100 = 125.

The first two terms of the geometric sequence are 125 and 100.

Answer:

she has 7 outfits

Step-by-step explanation:

cause if you have 7 pairs of pants and 6 shirts and 7 hoodies you can make 7 outfits

Answer:

8 4/25

Step-by-step explanation:

2 2/5 = 12/5

3 2/5 = 17/5

12×17/5×5

204/25 = 8 4/25

Answer:

[tex] 8 \dfrac{4}{25} [/tex]

Step-by-step explanation:

[tex] 2 \dfrac{2}{5} \times 3 \dfrac{2}{5} = [/tex]

[tex] = \dfrac{12}{5} \times \dfrac{17}{5} [/tex]

[tex] = \dfrac{204}{25} [/tex]

[tex] = 8 \dfrac{4}{25} [/tex]

answer is step 1

Step-by-step explanation:

Answer:

I believe it's a, step one

Step-by-step explanation:

the term "of" in mathematics usually means division

Answer: See below

Step-by-step explanation:

If the tempature is dropping 3 degrees every hour mulitply 3x5 and you will get 15. Therefore the answer is -15 degrees

Answer:

Step-by-step explanation:the answer is 5

Answer:

the answer i got was 5

Step-by-step explanation:

Answer:

A and B are the correct answers

Step-by-step explanation:

Answer: A because im just guessing

Answer:

A or C but i believe it is A

Answer:

Area=7.071428571

Step-by-step explanation:

Before finding its area lets find its radius.

Given,

Diameter=3

Now,

Radius,r=D/2

          r =3/2

           r=1.5            

Again,

         Area of circle,A= pi*r*r

                           A =22/7*1.5*1.5

                           A=22/7*2.25

                           A=49.5/7

                           A=7.071428571 ans.

Answer:

a quadrilateral adds up to 360 degrees so each 4 siede figure is 360 degress

Step-by-step explanation:

1. add 108 + 59 + 119= 286 now do 360 - 286 = and you get 74

so that is how you get the answeres for the question , add the degrees then minus it by 360

Please mark brainliest :)

2. x = 234

3. x = 37

4. x = 83

Answer:

Step-by-step explanation:

b,d,e,f :)

Answer:

i think maybe $1833.25

Step-by-step explanation:

[tex] \frac{20}{100} \times 6300[/tex]

= $1260 + $573.25

= $1833.25

Answer:

C ( 3,-1) is a solution

Step-by-step explanation:

2x-3y>6

Let x = 3

2(3) -3y >6

6 - 3y>6

Subtract 6

-3y >0

Divide by -3

-3y/-3 < 0/-3

y < 0

If x = 3 y must be less than 0

C ( 3,-1) is a solution

formula: pi×2×r or pi×d

1. 9m×2×pi= 56.55m

2. 17ft× pi= 53.41 ft

3. 3yd×pi= 9.42 yd

4. 5cm× pi= 15.71cm

Answer:

102.849

Step-by-step explanation:

the perimeter of the square is just 4 × 18.

for the semi-circle the perimeter should be R(pi + 2)

so the perimeter of a semi circle is 30.849

add both values for the final answer which is 102.849

Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.

Step-by-step explanation: