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3 years ago

116 miles in 8 hours is what miles per hour.

Mathematics

2 answers:

yulyashka [42]3 years ago

6 0

Answer:

14.5

Step-by-step explanation:

116/8

timama [110]3 years ago

5 0

Answer:

14.5 !

Step-by-step explanation:

you divide 116/8 and you get the average rate

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In the given figure pt is the bisector of angle qpr. qs=3x, rs=2x+2, pq=3y-1 and pr=y+5

Naddika [18.5K]

Answer:

See solutions below

Step-by-step explanation:

1) From the diagram QS = RS

3x = 2x+2

3x-2x = 2

x = 2

Since RS = 2x+2

RS = 2(2)+2

RS = 4 + 2

RS = 6

2) RQ = RS + QS

RQ = 2x+2 + 3x

RQ = 5x+2

RQ = 5(2)+2

RQ = 12

3) PQ = PR

3y-1 = y+5

3y-y = 5+1

2y = 6

y = 3

PQ = 3y-1

PQ = 3(3)-1

PQ = 8

4) PR = y+5

PR = 3+5

PR = 8

5) PQSR = PQ + QR

PQSR = 8 + 12

PQSR= 20

5 0

2 years ago

I wrote these questions as one big question but decided to do them separately...

Alex17521 [72]

Answer:

448 tracks

Step-by-step explanation:

So first we need to figure out what 28% of 350 is and then add that value onto 350.

First we need to convert 28% into a decimal or a fraction
28% is equivalent to 0.28, $\frac{28}{100}$ , and $\frac{7}{25}$
I will use 0.28 for simplicity

To figure out what 28% of 350 is, we need to multiply 350 by one of the three options above

(350)(0.28) = 98 tracks

Now that we have figured out what 28% of 350 is, we can now add this value to 350 to get the total number of tracks.

350 + 98 = 448 tracks

5 0

3 years ago

HELPP!!! PLS ANSWER WITH FULL EXPLANATION AND PLS DO NOT SEND ANY LINKS!If Sara earns $2,400 per month and Jack earns $2,000 per

Kay [80]

I think the answer is C

3 0

2 years ago

Read 2 more answers

The coordinates of the vertices of △ABC are A(−4, 6) , B(−2, 2) , and C(−6, 2) .

vfiekz [6]

Answer:

translation 2 units left ; reflection across the y-axis

Step-by-step explanation:

The y-coordinates of the points do not change from the pre-image to the image. This means there is no translation down (this would add or subtract to the y-coordinates) and no reflection across the x-axis (this would negate the y-coordinates).

This leaves us with a translation 2 units left and a reflection across the y-axis.

The translation 2 units left adds 2 to the x-coordinates, and the reflection across the y-axis negates the x-coordinates. If we add 2 first, the coordinates would be (-4+2, 6) = (-2, 6); (-2+2, 2) = (0, 2); and (-6+2, 2) = (-4, 2).

Negating each of these would give us (2, 6); (0, 2); and (4, 2). These are the desired image coordinates.

8 0

2 years ago

Read 2 more answers

Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

lesya692 [45]

Answer:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

Step-by-step explanation:

We want to find a third degree polynomial with zeros x = 2 and x = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since x = 2i is a root, x = -2i must also be a root.

Hence, we will have the three factors:

$\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))$

Where a is the leading coefficient.

Expand and simplify the second and third factors:

$\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}$

Hence:

$\displaystyle f(x) = a(x-2)(x^2+4)$

Since f(-1) = 30:

$\displaystyle \begin{aligned} f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}$

In conclusion, third degree polynomial function is:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

5 0

2 years ago