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3 years ago

Use proportions to solve each of the problems below. Homework Help ✎

Mathematics

1 answer:

Yakvenalex [24]3 years ago

7 0

Answer:

Question 2:

45 pages 700 pages

-------------- = -------------

1 hour X hours

1 x 700= 700

700/ 45= 15 and 5/9

15 and 5/9 hours

Question 3:

$\frac{250}{3} \\$ = 88.33 lbs

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sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.how many s

mars1129 [50]

Answer:

Sam sliced the pie into 15 equal slices

Step-by-step explanation:

Given : Sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.

We have to determine the number of slices that the Sam cuts.

Sam cuts a pie and pie is in shape of circle therefore total angle measure is 360°.

Since, Given the angle measure for the three slices is 72 degrees.

So, The angle measure for the one slices is $\frac{72}{3}=24$ degrees.

Since, Pie is cut into equal slices.

So, measure of each slice must be equal.

So let he cut x slices of pie of 24°

So , total measure of x slices must be equal to 360°

24 · x = 360

x = 15

Thus, Sam sliced the pie into 15 equal slices

7 0

3 years ago

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100 POINTS!!! Given f(x) = <img src="https://tex.z-dn.net/?f=4x%5E2" id="TexFormula1" title="4x^2" alt="4x^2" align="absmiddle"

nexus9112 [7]

Answer:

please pay attention during your classes.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Problem: (5x^4 – 3x^3 + 6x) – (3x^3 + 11x^2 – 8x)<br><br> Answer: 5x^4-6x^3 -11x^2 +14x

g100num [7]

Combine the like terms by adding the coefficients,
->5x^4 can't add anything so leave it there,
->-3x^3 can add -3x^3 which gives you -6x^3,
->We can't do anything with -11x^2 so leave it there as well,
->6x add to -(-8x) gives you 14x,
You will get for your final answer is 5x^4-6x^3-11x^2+14x.

8 0

3 years ago

Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).

Tasya [4]

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

6 0

2 years ago

Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (

valentinak56 [21]

Answer:

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4) and (5, 1, 0)

$A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]$

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

4 0

2 years ago