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3 years ago

A car travels at an average speed of 48 miles per hour. How long it take to travel 156 miles

Mathematics

2 answers:

dangina [55]3 years ago

6 0

Answer: 195 min or 3 hr and 15 min

Step-by-step explanation:

We can set up a proportion to solve this problem.

$\frac{48mi}{60 min} =\frac{156 mi}{x}$

$48x=156*60$

$48x=9360$

$x=195 min$

We can also write this in terms of hours and minutes.

$\frac{60 min}{1 hr} =\frac{195 min}{x}$

$60x=195$

$x=3.25$

3 hr and 15 min

Vikentia [17]3 years ago

3 0

Answer:

3.25 h = 3 h 15 m

Step-by-step explanation:

156 mi * 1h/48 mi = 3.25 h = 3 h 15 m

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The perimeter of △CDE is 55 cm. A rhombus DMFN is inscribed in this triangle so that vertices M, F, and N lie on the sides CD ,

tamaranim1 [39]

Answer:

CD=20 cm and DE=15 cm. CD=20 cm and DE=15 cm.

Step-by-step explanation:

A rhombus DMFN is inscribed in such a way that it is inscribed in triangle CDE with the vertices M, F, and N l on the sides CD , CE , and DE respectively.

Now, in rhombus, the parallel sides are always parallel, therefore

MF║DE, thus, $\frac{CM}{MD}=\frac{CF}{EF}$ by the basic proportionality condition.

It is given that CF=8 cm and EF=12 cm, therefore, $\frac{CM}{MD}=\frac{8}{12}$ .

That is CM=8 cm and MD=12 cm. Therefore, CD=CM+MD=8+12=20.

According to question, Perimeter of △CDE =55 cm

⇒CD+DE+CE=55

⇒20+DE+20=55

⇒DE=15 cm

Hence, CD=20 cm and DE=15 cm.

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3 years ago

What is 11 1/2 + 10 11/16=

ahrayia [7]

Hey!

To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.

Original Equation :

$11\frac{1}{2} + 10\frac{11}{16} = ?$

New Equation {Converted Mixed Numbers Into Improper Fractions} :

$\frac{23}{2} + \frac{171}{16} = ?$

Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.

Fraction Conversion :

$\frac{23*8}{2*8} = \frac{184}{16}$

So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.

Old Equation :

$\frac{23}{2} + \frac{171}{16} = ?$

New Equation {Input New Fraction With Common Denominator} :

$\frac{184}{16} +\frac{171}{16} = ?$

Solution {New Equation Solved} :

$\frac{355}{16}$

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.

New Solution {Converted to a Mixed Number} :

$22\frac{3}{16}$