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3 years ago

Which step will get you closest to the solution of this equation 5×(x-2)=7

Mathematics

1 answer:

scZoUnD [109]3 years ago

8 0

Answer:

Division property get you to the quick solution

Solution: 3.4

Step-by-step explanation:

5*(x - 2) = 7

Dividing both sides by 5

5*(x -2)÷5 = 7÷5

x - 2 = 1.4

Adding 2 on both sides, we

x -2 + 2 = 1.4 + 2

x = 3.4

Hope you will understand the concept.

Thank you.

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Solve the Answer for x. 56 < 7(7-x)

Ierofanga [76]

Answer:

$x < -1$

Step-by-step explanation:

Step 1: Distribute

$56 < 7(7 - x)$

$56 < (7 * 7) + (7 * -x)$

$56 < 49 - 7x$

Step 2: Subtract 49 from both sides

$56 - 49 < 49 - 7x- 49$

$7 < -7x$

Step 3: Divide both sides by -7

$7 / -7 < -7x / -7$

Since you divided by a negative, you must flip the sign.

$7 / -7 < -7x / -7$

$-1 > x$

Answer: $x < -1$

4 0

3 years ago

Read 2 more answers

On a map of Tennessee, one inch represents 15 miles. If Chattanooga and Nashville are 11.3 inches apart on the map, how many mil

Amanda [17]

The correct answer is d that is because if it is 1 onch per 15 miles then do 11x15 and you get 165 c and d are the only 2 close enough to be it but from there you can cancel c because its 11.3 which means it must be more than 165. and d is the only one that is greater then 165

8 0

3 years ago

Which units are incommensurable with meters? Acres, Hours, Kilomters, Kilograms

Ad libitum [116K]

Hours. That’s time not distance.

4 0

3 years ago

If y=3x + 2, find the value of y when x= -2

Luda [366]

Y=3x + 2
This form represents an affine function, graphically represented by a straight line (y = mx + b)
All you need to do is replace "x" by -2 in 3x + 2, and you'll find the value of y.

y = 3x + 2
y = 3 * (-2) + 2
y = -6 + 2
y = -4

So when x = -2, y = -4. Graphically, x and y represents the coordinates of a point belonging to the line of y=3x+2 (I represented the graphic and the bottom of the answer)

Hope this Helps! :)

4 0

3 years ago

Read 2 more answers

Need help with trig questions

Elenna [48]

Answer:

-8 i + 19 j , 105.07°

Step-by-step explanation:

Solution:

- Define two unit vectors ( i and j ) along x-axis and y-axis respectively.

- To draw vectors ( v and w ). We will move along x and y axes corresponding to the magnitudes of unit vectors ( i and j ) relative to the origin.

Vector: v = 2i + 5j

Mark a dot or cross at the origin
Move along x-axis by 2 units to the right ( 2i )
Move along y-axis by 5 units up ( 5j )
Mark the point.
Connect the origin with the marked point determined above
Make an arrow-head at the determined point
Lies in first quadrant

Vector: w = 4i - 3j

Mark a dot or cross at the origin
Move along x-axis by 4 units to the right ( 4i )
Move along y-axis by 3 units down ( -3j )
Mark the point.
Connect the origin with the marked point determined above
Make an arrow-head at the determined point
Lies in 4th quadrant

- The algebraic manipulation of complex numbers is done by performing operations on the like unit vectors.

$2*v - 3*w = 2* ( 2i + 5j ) - 3*(4i - 3j )\\\\2*v - 3*w = ( 4i + 10j ) + ( -12i + 9j )\\\\2*v - 3*w = ( 4 - 12 ) i + ( 10 + 9 ) j\\\\2*v - 3*w = ( -8 ) i + ( 19 ) j\\$

- To determine the angle ( θ ) between two vectors ( v and w ). We will use the " dot product" formulation as follows:

v . w = | v | * | w | * cos ( θ )

v . w = < 2 , 5 > . < 4 , -3 > = 8 - 15 = -7

$| v | = \sqrt{2^2 + 5^2} = \sqrt{29} \\\\| w | = \sqrt{4^2 + 3^2} = 5\\\\$

- Plug the respective values into the dot-product formulation:

cos ( θ ) = $\frac{-7}{5\sqrt{29} }$

θ = 105.07°

6 0

3 years ago