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nikitadnepr [17]
3 years ago
14

Find b. Question 19 options:70.157.731.543.8

Mathematics
1 answer:
Reptile [31]3 years ago
6 0

Answer: 57.7

Step-by-step explanation:

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Uncle Jason is twice as old as his nephew Ralph, and 10 years ago he was three times as old as Ralph. Find their present ages.
cluponka [151]

Answer:

40 and 20

Step-by-step explanation:

  • Uncle Jason's age = x
  • Nephew Ralph age = y
<h3>Solution</h3>

<u>Age now:</u>

  • x= 2y

<u>Age 10 years ago: </u>

  • x- 10 = 3(y-10)

<u>Substituting x in the second equation:</u>

  • 2y - 10 = 3y - 30
  • 3y - 2y = 30 -10
  • y = 20

<u>Then, finding x:</u>

  • x= 2y
  • x= 2*20
  • x= 40

<u>Answer:</u> Uncle Jason is 40 and nephew Ralph is 20 years old

7 0
3 years ago
A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
kompoz [17]

Answer:

a. (-3, 2).

b.  √65

c.  (x + 3)^2 + (y - 2)^2 = 65

Step-by-step explanation:

a.  The center is the midpoint  of the diameter PQ.

= (-10+4)/2, (-2+6)/2

= (-3, 2).

b. The radius is the distance from the center to a point on the circle.

Take the point (4, 6):

The radius = √((-3-4)^2 + (2-6)^2)

= √65.

c.  The equation of the circle is:

Using the standard form

(x - h)^2 + (y - k)^2 = r^2  where  (h, k) is the center and r = the radius:

it is (x - (-3)^2 + (y - 2) = 65

= (x + 3)^2 + (y - 2)^2 = 65.

4 0
4 years ago
Read 2 more answers
Please help, I really need this
Nady [450]

9514 1404 393

Answer:

  (a) -- the correct choice is highlighted

Step-by-step explanation:

The units of specific heat tell you what quantities make up the ratio.

  \dfrac{390\text{ J}}{1\text{ kg$\cdot^\circ$C}}=\dfrac{-12.0\text{ J}}{0.012\text{ kg}\cdot\Delta T}\\\\\Delta T=\dfrac{-12.0}{0.012\cdot390}\ ^\circ\text{C}\approx-2.56\text{ $^\circ$C}

The temperature will decrease by 2.56 C.

4 0
3 years ago
Luis bought two pieces of wax to make candles. One piece weighed 3.49 kg, and the other weighed 4.71 kg. If wax costs $1.80 per
EleoNora [17]

(3.49+4.71)1.80=cost

(8.2)1.80=cost

14.76=cost

Luis spends $14.76 all together  


8 0
3 years ago
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?
ruslelena [56]
It would be 13... if I did my math right.
6 0
3 years ago
Read 2 more answers
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