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3 years ago

Hank scored 56% in math and 84% in science. What are three ratios of his science to math scores?

Mathematics

1 answer:

andrew-mc [135]3 years ago

4 0

Answer:

56/84=2/3

2:3

3x-x+2=4

Step-by-step explanation:

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Given: A, B, and C What is the value of X in the matrix equation AX + B = C?

Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

$A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}$

$B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$

$C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}$

AX + B = C

AX = C - B

C - B = $\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$ = $\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}$

C - B = $\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Let $X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}$

AX = $\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}$

= $\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}$

Since AX = C - B

$\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = $\begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix}$ will be the answer.

7 0

3 years ago

The sensitive period for language is from 7 months in utero up to 5.5 to 6 years of age. There are several aspects of language f

OleMash [197]

Answer:

The sensitive period for language is from 7 months in utero up to 5.5 to 6 years of age. There are several aspects of language from spoken language, to written language and reading. ... The sensitive period for learning to speak is from is from 7 months to 2.5-3 years of age.

Step-by-step explanation:

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2 years ago

a rectangle has a length of 10 ft. and a width of 6 ft. what's the perimeter? a. 60 ft. b. 16 ft. c. 32 ft. d. 26 ft.

Veronika [31]

32 because you add all the out side lengths

8 0

3 years ago

Read 2 more answers

There are 136 boys and 188 girls at Wood Middle School. There are 316 boys and 208 girls at Parker Middle School. What is the ra

Juli2301 [7.4K]

Answer:

Ratio of Wood MS to Parker MS = 81 : 131

Step-by-step explanation:

Given

number of students at WMS = 136+188 = 324

number of students at PMS = 316+208 = 524

Ratio of students

WMS : PMS = 324 : 524 = 81 : 131

3 0

3 years ago

You plan to deposit $5,600 at the end of each of the next 20 years into an account paying 10.8 percent interest. a. How much wil

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1 answer

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2 years ago