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Anarel [89]
3 years ago
12

How do you find "a" in -10+a=6a-7a please help I do not know how to find what the answer is.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0
-10 + a = 6a - 7a

Rearrange the left hand side

a - 10 = 6a - 7a

Simplify 6a - 7a

a - 10 = -a

Add a on both sides

2a - 10 = 0

Add 10 on both sides

2a = 10

Divide by 2 on both sides

a = 5
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A motorboat travels 168 kilometers in 4 hours going upstream. It travels 280 kilometers going downstream in the same amount of t
Grace [21]

Answer:

The speed of the boat is 56 km/hr

The rate of the current is 14 km/hr

Step-by-step explanation:

We are given the following;

  • Distance traveled upstream = 168 km
  • Time taken to travel upstream = 4 hours
  • Distance traveled down stream = 280 km
  • Time taken down stream = 4 hours

We are required to determine the speed of the boat in still water and the speed of the current.

We are going to take;

Speed of the boat as = x km/hr

Rate of flow of current = y km/hr

We can determine the speed of the boat upstream;

Speed = Distance ÷ time

               = 168 km ÷ 4 hours

               = 42 km/hr

But, the speed upstream is given by (x - y) km/hr

Therefore; ( x-y) km/hr = 42 km/hr ......................... Eqn 1

Speed of the boat down stream

    speed = 280 km ÷ 4 hours

                = 70 km/hr

But, the speed downstream is given by (x+y) km/hr

Therefore, x+y km/hr = 70 km/hr ........................... Eqn 2

Solving Eqn 1 and Eqn 2 simultaneously;

x - y = 42

x + y = 70

Eliminating x

-2y = - 28

    y = 14 km/hr

Solving for x,

x = 42 + y

   = 42 + 14

   = 56 km/hr

Therefore, the speed of the boat is 56 km/hr while the rate of the current is 14 km/hr

8 0
4 years ago
Oil leaked from a tank at a rate of r(t) liters per hour. the rate decreased as time passed, and values of the rate at two hour
Galina-37 [17]
The given data is
t, h:            0     2     4     6     8   10
r(t), L/h:   8.6  7.9  6.8  6.4  5.7  5.3

The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.

The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.

The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L

The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L

Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L

4 0
4 years ago
Read 2 more answers
What is the volume of the cube below?
Doss [256]

Answer:

D. x^3

Step-by-step explanation:

1. Volume of cube = width*length*height

2. width, length, and height of a cube are all the same. In this case, it's x.

3. multiply x * x * x to get x^3

7 0
3 years ago
Read 2 more answers
Please help me with this
drek231 [11]

Answer:

100 in²

Step-by-step explanation:

Since the figures are similar

the linear ratio of sides = a : b , then

ratio of areas = a² : b²

ratio of sides = 15 : 21 = 5 : 7

ratio of areas = 5² : 7² = 25 : 49

let the area of the smaller figure be x then by proportion

\frac{25}{x} = \frac{49}{196} ( cross- multiply )

49x = 4900 ( divide both sides by 49 )

x = 100

Area of smaller figure is 100 in²

7 0
3 years ago
you are allowed to multiply as many 2's and/or as many 5's as you want. What can be the last didget of your result
Levart [38]

Based on the fact that you are allowed to multiply as many 2's and/ or as many 5's as you want, the last digit of your result can be either a 2, 5 or 0.

<h3>What is the last digit of your result?</h3>

If you multiplied a 5 number with another 5 number, you will either get a 0 as the last digit or a 5 as the last digit:

5 x 5 = 25

5 x 10 = 50

5 x 15 = 75

5 x 25 = 125

If you multiply a 5 with a 2, you result would always end in 0:

5 x 2 = 10

5 x 4 = 20

5 x 6 = 30

If you multiply a 2 with another 2, the result would be a 2:

2 x 2 = 4

2 x 4 = 8

2 x 6 = 12

Find out more on operations involving 5s at brainly.com/question/11977981.

#SPJ1

5 0
2 years ago
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