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2 years ago

What is the ratio of the number of gray T-shirts to the number of black T-shirts?

Mathematics

1 answer:

77julia77 [94]2 years ago

5 0

First find out how many gray T-shirts there are and how many black T-shirts.

Add up the numbers in the Black column, you get 20.
Add up the numbers in the Gray column, you get 14.

Ratio of the number of gray T-shirts TO the number of black T-shirts.

The keyword here is 'to', because this is what divides the two ratios. Number of gray T-shirts is 14, and the number of black T-shirts is 20, so we have:

$\sf 14:20$

We can simplify this by dividing 2 to both numbers:

$\boxed{\sf 7:10}$

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A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible

oksano4ka [1.4K]

Answer:

The value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$ and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

$A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right]$ , $B=\left[\begin{array}{ccc}3\\5\end{array}\right]$

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2 and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

$AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]$

$AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]$

$AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]$

$AB=\left[\begin{array}{ccc}21\\11\end{array}\right]$

Hence, the value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1 and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

5 0

3 years ago

A fish aquarium that needs water measures 5ft long by 3 feet wide by 2 feet tall. If Josh only has has 12ft of water, how much m

Pepsi [2]

Answer:

Step-by-step explanation:

18 ft

6 0

3 years ago

Read 2 more answers

Ramona and Beezus love to read books. Ramona reads 16 less than 5 times the number of books Beezus reads. Ramona reads 134 books

Fittoniya [83]

I think the answer is 30, because if 134 +16 is 5 times the number of books Beezus reads, than just divide by 4 for the answer of 30

6 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through (4,-1) and (-2,3)

vladimir1956 [14]

Answer: y-6 = 0.5 (x-8)

Step-by-step explanation:

y − y1 = m(x − x1)

The equation is useful when we know:

one point on the line: (x1,y1)

and the slope of the line: m,

and want to find other points on the line.

Have a play with it first (move the point, try different slopes):

8 0

3 years ago

I need help show work<br> ill mark brainliest

Archy [21]

Answer:

The population will be 896 turtles 6 years later ⇒ B

Step-by-step explanation:

The exponential increasing formula is y = a $(1+r)^{x}$ , where

y is the new value

a is the initial value

r is the rate of increase in decimal

x is the time in years

∵ There are 300 turtles

∴ a = 300

∵ The population of the turtles exponentially increases 20% each year

∴ r = 20%

→ Divide it by 100 to change it to decimal

∵ 20% = 20 ÷ 100 = 0.2

∴ r = 0.2

∵ The time is 6 years

∴ x = 6

→ Substitute these values in the exponential formula above

∵ y = 300 $(1+0.2)^{6}$

∴ y = 300 $(1.2)^{6}$

∴ y = 895.7952

→ Round it to the nearest whole number

∴ y = 896

∴ The population will be 896 turtles 6 years later

7 0

3 years ago