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kolezko [41]
3 years ago
14

Sara was thinking of a number. Sara divides by 2, then adds 10 to get an answer of 6. What was the original number?

Mathematics
2 answers:
ohaa [14]3 years ago
7 0

Answer:

The original number was -8

Step-by-step explanation:

You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6

Oksana_A [137]3 years ago
5 0

Answer:

-8

Step-by-step explanation:

We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.

To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.

6 is her ended number, we know before she added 10, so subtract 10 from 6:

6-10=-4

Now we know that she divided by 2, therefore multiply -4 by 2:

-4*2=-8

-8 was Sara's first number.

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Alexander and Jo live 5 miles apart. They decide to leave their homes at 3 p.M. And travel toward each other. If Alexander bikes
lukranit [14]

Answer:

Step-by-step explanation:

Here is an illustration of the problem:

             ----------------------------->|<------------------

            A                                  t                     J

Alex and Jo start from their separate homes and drive towards one another.  The t indicates the time at which they meet, which is the same time for both.  Filling in a d = rt table:

              d           =        r        x        t

Alex                              14                t

Jo                                   6                t

The formula for motion is d = rt, so that means that Alex's distance is 14t and Jo's distance is 6t.

             

                      14t                               6t

   ---------------------------------->|<------------------

   A                                       t                      J

The distance between them is 5 miles, so that means that Alex's distance plus Jo's distance equals 5 miles.  In equation form:

14t + 6t = 5 and

20t = 5 so

t = .25 hours or 15 minutes.

If they leave their homes at 3 and they meet 15 minutes later, then they meet at 3:15.

3 0
3 years ago
7x[(9+4)-(12-7)] please help me:(
lara [203]

Answer:

56

Step-by-step explanation:

7((9+4)-(12-7))

7(13-5)

7×8

3 0
3 years ago
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A rectangular prism has dimensions of 1/3, 3, and 5/3 in.
julsineya [31]

Answer:

Step-by-step explanation:

The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when

s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in

5 0
3 years ago
Graph the image of square CDEF after a reflection across the x-axis​
Rina8888 [55]

Answer:

If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:

(x,-y)

So we only change the sign of the y-component.

Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.

Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.

The original vertices are:

C = (-3, 7)

D = (0, 7)

E = (0, 10)

F = (-3, 10)

Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:

C' = (-3, -7)

D' = (0, -7)

E' = (0, - 10)

F' = (0, - 10)

Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.

5 0
3 years ago
Which of the following is a solution of the inequality? -3 less than 2x+ 1 less than 5
Serhud [2]

Answer:

- 2 < x < 2

Step-by-step explanation:

Given

- 3 < 2x + 1 < 5 ( subtract 1 from each interval )

- 4 < 2x < 4 ( divide each interval by 2 )

- 2 < x < 2

7 0
3 years ago
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