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3 years ago

What is the solution to this equation? x/-4=8

Mathematics

1 answer:

guapka [62]3 years ago

8 0

X=32

Explanation:
When you change sides, if in the left side you are multiplying, when you transfer it to right side you divide. Same thing should be done for addition subtraction.

So /-4 was division and negative number

When we transfered it, it became positive multiplication number

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Tom gets a bonus of 30% of £96

Alchen [17]

Answer:

The difference between their bonus is £2.60

Step-by-step explanation:

The bonus Tom receives is 30% of £96

Tom's bonus

$= \frac{30}{100} \times 96$

$= 28.8$

So the bonus Tom received is £28.8

From the question, Sally gets a bonus of £31.40

We need to find the difference between the bonus Tom gets and the bonus Sally gets.

This given by:

£31.40 -£28.8=£2.60

6 0

3 years ago

Find the minimum value of the function f(x) = 2x2 – 17.3x + 32 to the nearest<br> hundredth.

Klio2033 [76]

Answer:

5600.014

= 5000 + 600 + 0.010 + 0.004

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Step-by-step explanation:

5 0

3 years ago

Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col

MrRissso [65]

Answer:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

Step-by-step explanation:

We are required to find a unit vector in the direction of:

$\left[\begin{array}{c}-8\\7\\2\end{array}\right]$

Unit Vector, $\hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}$

The Modulus of $\overrightarrow{a}$ = $\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}$

Therefore, the unit vector of the matrix is given as:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

5 0

4 years ago

Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, B

gizmo_the_mogwai [7]

Answer: The time taken by both of them if they work together is given by

$3\dfrac{3}{5}\ hours$

Step-by-step explanation:

Since we have given that

Time taken by Blake to paint one room = 9 hours

Time taken by Ned to paint one room = 6 hours

Work done by Blake = $\dfrac{1}{9}$

Work done by Ned = $\dfrac{1}{6}$

Total work done by both of them together is given by

$\dfrac{1}{6}+\dfrac{1}{6}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}$

So, the time taken by both of them if they work together is given by

$\dfrac{18}{5}=3\dfrac{3}{5}\ hours$

7 0

3 years ago

Read 2 more answers

Solve the simultaneous equations:<br> 3x + 2y = 35 <br> 2x + 3y = 30

lesya [120]

Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

3x = 35 + -2y

Divide each side by '3'.

x = 11.66666667 + -0.6666666667y

Simplifying

x = 11.66666667 + -0.6666666667y

5 0

3 years ago