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3 years ago

What is the first step in solving the following equation: −1\2x − 33 = 33

Mathematics

2 answers:

lesya692 [45]3 years ago

8 0

Answer:

add 33 to both sides

Step-by-step explanation:

Given

- $\frac{1}{2}$ x - 33 = 33 ( add 33 to both sides )

- $\frac{1}{2}$ x = 66 ( multiply both sides by - 2 to clear the fraction )

x = - 132

satela [25.4K]3 years ago

7 0

Answer:

First step is to make x the subject of the equation.

Step-by-step explanation:

$-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132$

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10. Given matrices A, B, and C below, perform the indicated operations if possible. If the operation is not possible, explain wh

Artemon [7]

Answer(a):

Order of matrix A = 3x3 {because number of rows=3, number of columns=3}

Order of matrix B = 3x3

Order of matrix C = 1x3

3A will be of order 3x3 because multiply by scalar doesn't change the order. Which is same as the order of matrix B.

So 3A+B is possible.

We simply multiply all elements of A with 3 and add them with corresponding elements of B.

$3\begin{bmatrix}2 & -1& 0\\ 0 & 5& 0.3\\ 1 & 4&10 \end{bmatrix}+\begin{bmatrix}5 & 0& 2\\ 1 & -3& 9\\ 2 & 0& 4\end{bmatrix}= \begin{bmatrix}11 & -3& 2\\ 1 & 12& 9.9\\ 5 & 12& 34\end{bmatrix}$

Answer(b):

2B will be of order 3x3 because multiply by scalar doesn't change the order. Which is NOT same as the order of matrix C.

So 2B+C is NOT possible.

Answer(c):

CA is possible only if

number of columns of C = number of columns of A

3=3

which is true hence CA is possible.

$\begin{bmatrix}1 &3 &5 \end{bmatrix}*\begin{bmatrix}2 & -1& 0\\ 0 & 5& 0.3\\ 1 & 4&10 \end{bmatrix}=\begin{bmatrix}1*2+3*0+5*1 & 1*-1+3*5+5*4 & 1*0+3*0.3+5*10\end{bmatrix}$

= $\begin{bmatrix}7 & 34& 50.9\end{bmatrix}$

<em><u>If the matrix is not visible properly then look at the attached picture.</u></em>

5 0

3 years ago

Kim is playing an online trivia game. She has 25 points and earns 1 point for each correct answer. She will advance to the next

Alenkasestr [34]

Answer:

the answer is b I'm pretty sure

5 0

2 years ago

Read 2 more answers

3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by

sveticcg [70]

Answer:

Nancy's age is 11years and Khaled's age is 10years

Step-by-step explanation:

Let Nancy's present age be x

Let Khaled's present age b y

3 years ago

Nancy = x - 3

Khaled = y - 3

If 3 years ago, Nancy’s age was more than Khaled’s age by 2, then;

x-3 = y-3 + 2

x - 3 = y - 1

x- y = -1+3

x - y = 2 ...1

4 years from now,

Nancy = x+4

Khaled = y+4

If by 4years from now, twice Nancy’s age will be more than Khaled’s age by 16, then;

2(x+4) = y+4 + 16

2x+8 = y+20

2x-y = 20-8

2x-y = 12 ....2

Subtract 1 from 2;

x - 2x = 1 - 12

-x = -11

x = 11

Since x - y = 1

11 - y = 1

y = 11-1

y = 10

Hence Nancy's age is 11years and Khaled's age is 10years

7 0

3 years ago

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is

Eva8 [605]

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

6 0

3 years ago

Jessica can swim a lap and 29 and 2/5 second Marta can swim a lap in 28.7 seconds how much faster can marta swim lap and then Je

Vladimir79 [104]

Alright, lets get started.

Jessica can swim a lap in $29\frac{2}{5}$ seconds

Converting it into decimals, $29+\frac{2}{5}$

Means $29+0.4 = 29.4$ seconds

Means Jessica can swim a lap in 29.4 seconds

Marta can swim a lap in 28.7 seconds.

So, Martha is faster than Jessica by $29.4-28.7=0.7$ seconds

It means Marta is 0.7 seconds faster than Jessica. : Answer

Hope it will help :)

6 0

3 years ago