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Novay_Z [31]
2 years ago
9

If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he sti

ll had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
360

180

120

60

90
Mathematics
2 answers:
Nadya [2.5K]2 years ago
7 0

Answer:

180

Step-by-step explanation:

shutvik [7]2 years ago
6 0

Answer:

The answer is 180

Step-by-step explanation:

To check the answer:

Since 60 is part of a half then 60 * 60 = 120

Now we have to find the other 60 remaining from 180 because 180-120 is 60.

1/2 of 180 is 90.

90-60 = 30

if one half is equal to 90 then the other half is equal to 90.

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How can polygons be considered a subcategory of two-dimensional figures? PLEASE HELP THIS IS DUE TOMORROW!!!!!!!!!
gregori [183]
Two-dimensional figures are one category and polygons are a separate category that falls under two-dimensional because 2D(two dimensional) figures are figures that do not have a volume so they are flat. Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
7 0
3 years ago
Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)
Rom4ik [11]

Answer:


Step-by-step explanation:

Given : p(x)=x^{3} +6x^{2} -7x-60

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, \text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}

Since constant term = -60

Leading coefficient = 1

\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}

\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}

Thus the possible roots are  \pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0.  All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is x^{2} +x-12

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

x^{2} +x-12=0

x^{2} +4x-3x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)





3 0
3 years ago
Read 2 more answers
2. George estimates that each bale of hay in his field weighs 62.5 pounds on
saw5 [17]

Answer:

4 trips

Step-by-step explanation:

there are 892 bales of hay

each one weighs about 62.5 pounds

892 * 62.5 = 55,750

George's truck can only carry 8 tons

1 ton = 2,000 pounds

2,000 * 8 = 16,000 pounds

So,

55,750 / 16,000 = 3.484375

But since you can't make 3.484375 trips in a truck, round it up.

3.484375 rounded up equals 4

George has to take 4 trips

7 0
3 years ago
Read 2 more answers
An ice cream cone has a radius of 3 inches and a height of 6 inches. Which measurement is the closest to the volume in cubic inc
zimovet [89]
Just keep in mind that the pie is 3.14
8 0
3 years ago
Which expression has the same value as the one below ?<br><br> 50 + (-17)
irina [24]

Answer:

=33

Step-by-step explanation:

8 0
2 years ago
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