Dividing Decimals by Decimals Word Problems

The Sanchez family drove 48.9 miles to the river. It took them 1.2 hours to get there. How fast did they drive in miles per hour?
Please answer quickly because this is due tomorrow

Answer:

[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]

Answer:

[tex]x = 2\sqrt{55}[/tex]  

Step-by-step explanation:

Given the values for the leg and hypotenuse:

a (leg) = 6 cm

c (hypotenuse) = 16 cm

Use the Pythagorean Theorem to find the value of the other leg, x:

[tex]x = \sqrt{c^{2} - a^{2} }[/tex]

[tex]x = \sqrt{16^{2} - 6^{2} }[/tex]

[tex]x = 2\sqrt{55}[/tex]  

Answer:

Your answer is [tex]\sqrt{220}[/tex] or 14.8323969...

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\x^{2} + 6^{2} =16^{2}[/tex]

[tex]x^{2} =16^{2} -6^{2} \\[/tex]

[tex]x^{2}[/tex] = 256 - 36

x = [tex]\sqrt{220}[/tex]

Answer:

Step-by-step explanation:

Let ABCD be a rhombus, all sides of the rhombus have equal length and its diagonal AC and BD are intersecting each other at a point O.

As we know that the diagonals in the rhombus bisect each other at 90°.

So, AO can be written as (AC/2)  

= 16/2  

= 8 cm

And, DO can be written as (BD/2)

= 30/2  

= 15 cm

Then, consider the triangle AOD and apply Pythagoras theorem,  

AD2 = AO2 + DO2

AD2 = 82 + 152

AD2 = 64 + 225

AD2 = 289

AD = √289

AD = 17 cm

Hence, the length of each side of the rhombus is 17 cm

Now,

The perimeter of rhombus = 4 × side of the rhombus

= 4 × 17

= 68 cm

Therefore, the perimeter of the rhombus is 68 cm.

Answer:

3 miles per hour

Step-by-step explanation:

Well, what we do in these situations is simple. We divide.

So this George guy, he walks six miles in 2 hours.

I think to myself, "Okay, so that's 6 divided by 2."

So, we get 3.

#It'sNotRocketScience

if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

George walked 6 miles in 2 hours.

We need to find his average walking rate in miles per hour

Let x be the average walking rate in miles per hour

Let us form an equation

miles/hour----->6/2=x/1

3=x

So the value of x is 3

Hence if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ2

Answer:

Step-by-step explanation:

The new dimensions will be:

The area is 540

Using area equation we get:

The new dimensions are:

Answer:

The answer is 1…

Step-by-step explanation:

Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.

the final result will be

(240+15+40)+ (300+90-72)- (360+105+24)

Now solve

240-15+40=265

300+90-72=318

360+105+24=513

265+268-489

265+268= 11

533-513=20

bleh i m not sure naymore

Answer:

0.48

Step-by-step explanation:

jou just have move point from right to left like this 48 rite so 48. =because have to zero u hqve move two place left so it will be 0.48

Answer:

0.48

Step-by-step explanation:

48 divided by 100=0.48

The upper bound means the highest number that you can round up to the nearest unit, in this case meters. So the upper bound for the distance of 100 meters is 100.4 meters.

Answer:

bye

Step-by-step explanation:

Answer:

1) b = 60°

2) a = 90°, b = 90°

Step-by-step explanation:

1) Angles on a straight line add to 180° so 180 - 120 is 60°

2) The two lines are perpendicular (meet at right angles) so both angles are 90°

Hope this helps!

Answer:

$9,800.07

Step-by-step explanation:

Just took a quiz.

There will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

PMD = $200

r/n = 0.0105/12

n = 12

t = 4 years

After plugging the all values in the formula, we will get:

A = $9,800.07

Thus, there will be $9,800.07  after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2

Answer:

range 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

1. The range of a data set is the difference between the largest and smallest number. In this case, the largest number is 28, and the smallest number is 10.

Therefore, the range is 18.

Answer: y=1/4x+4

Step-by-step explanation:

Parallel means the new equation will have the same slope.

y= 1/4x+b

We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.

1= 1/4(-12)+b

1= -3+b

b= 4

y=1/4x+4

Answer: 13/14 = 169/182

Step-by-step explanation:

If you do 13 x 182 = 2,366

And then do 14 x 169 = 2,366

Making both sides equal if you multiple the numerator by denominator using cross multiplication

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.

The product is another name for it. If the same thing, n, is delivered to m different people, we merely multiply them.

The fraction number is given below.

⇒ 13/14 and 169/182

Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,

⇒ (13 x 13)/(14 x 13)

⇒ 196 / 182

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

forest, tundra, and grasslands

Answer:

Step-by-step explanation:

A= W*L

A= 31/3*21/4

A=10.3*5.25

A=54.075cm^2

Answer:

7 1/2in^2

Step-by-step explanation:

LxW=A

2 1/4 x 3 1/3 = A

A = 7 1/2

Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.

The sampling distribution of the sample proportion can be calculated thus:

Distribution of sample proportion = (100 × 0.02) = 2

Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.

Learn more : https://brainly.com/question/18405415

Answer:

45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y

47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16

49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y

Answer:

Step-by-step explanation:

factorization, is that how u call it? S: Im not good at english

49 = 7x7, right?

and

7 = 7 x 1

then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)

7*7x = 49x

7*1y = 7y

--------------------------------------------------------

1*7 -----> 7(7x + 1y)

              -------------

                    7

Simplify 7/7 = 1

answer = 7x +y

Answer:Music in a major key can be transposed to any other major key; music in a minor key can be transposed to any other minor key. (Changing a piece from minor to major or vice-versa requires many more changes than simple transposition.) A piece will also sound higher or lower once it is transposed.

Step-by-step explanation:

Answer:

36.20

9.19

7.6 and 7.60 are the same number

Step-by-step explanation:

which is bigger? 36.2 or 36.12   ------    36.2 is bigger

which is bigger? 9.18 or 9.19  ----------  9.19 is bigger

which is bigger? 7.6 or 7.60​   ----------   7.6 and 7.60 are the same

Answer:

Step-by-step explanation:

x + 0.05x = 36225

x(1 + 0.05) = 36225

x*1.05 = 36225

by solving we find:

x = $34,500

Answer:

Step-by-step explanation:

Answer:

they each get 1/8 of a gallon of orange juice

Step-by-step explanation:

Step-by-step explanation:

15%25$

[tex] \frac{15}{100} \times 25[/tex]

[tex] \frac{375}{100} [/tex]

=3.75

25-3.75=21.25$

Answer:

Step-by-step explanation:

Answer:

25.00

Step-by-step explanation:

5.00 x 500% = 25

Based on the balance on her account on October 25th, we can calculate that her balance on October 26th was a. $112.16

Any expenses that we make from our bank account reduces our bank balance. This means that Maggie's buying of gasoline and the dinner she went on will reduce her account balance.

Her new balance will therefore be:

= Beginning amount - Expenses

= 170.29 - 32.51 - 25.62

= $112.16

In conclusion, her balance on October 26th is $112.16

Find out more at https://brainly.com/question/13168057.

Answer:

A $112.16

Step-by-step explanation: