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3 years ago

Can you please show your workings as I really don’t get this

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

Answer:

The solutions are x = 3, y=10 and x=7, y=30.

Step-by-step explanation:

We use substitution to solve this:

5x - y = 5

y = 5x - 5

Now substitute for y in the second equation:

2y - x^2 = 11 Replace y by 5x - 5:-

2(5x - 5) - x^2 = 11

10x - 10 - x^2 = 11

x^2 - 10x + 21 = 0

(x - 3)(x - 7) = 0

x = 3 , 7.

Now we find the values of y corresponding to these 2 values of x:

When x = 3 ( using y = 5x - 5):

y = 5*3-5 = 10 and

when x = 7

y = 5*7 - 5 = 30.

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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i

ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

$Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of \; Right \; Rectangular \; Prism=L \times W \times H\\\{Where \; L \; is \; Length, \; W \; is \; Width, \;and \; H \; is \; Height\}$

Applying the concept:

Volume of Small Cube:

$V_{cube}= (\frac{1}{4} )^3= \frac{1}{64} \; in^3\\\\V_{Prism}= 3 \frac{3}{4} \times 5 \times 4 \frac{1}{2} = \frac{15}{4} \times \frac{5}{1} \times \frac{9}{2} = \frac{675}{8} \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}} = \frac{675}{8} \div \frac{1}{64} \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1} = 5400$

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is 5400 

4 0

3 years ago

Read 2 more answers

Help i have no idea how to solve this

ASHA 777 [7]

Answer:

AB =24

Step-by-step explanation:

So, since all the sides are equal, you can just take two of the sides and set em equal to each other to find x and then, solve for AB

4x+8 =6x

8= 6x-4x

8=2x

8/2 =x

x= 4

Now, find AB, which is 4x+8

4(4) + 8

16+8 = 24

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

5 0

3 years ago

If a1=7 and an=an-1+5 than find the value of a5 .

Katyanochek1 [597]

Answer:

a₅=27.

Step-by-step explanation:

1) according to the condition the given subsequence is arithmetic sequence. It means, the a₁=7 and d=5, then

2) a₅=a₁+4*d; => a₅=7+4*5=27.

4 0

2 years ago

Find the value of x L 7x-7 M 4x+14

viktelen [127]

Answer:

x= 7 sorry if I'm wrong:(

Step-by-step explanation:

7x - 7 = 4x + 14

7x - 7 - 4x = 4x + 14 - 4x

3x - 7 = 14

3x - 7 + 7 = 14 + 7

3x = 21

x = 21/3

x = 7

8 0

2 years ago

Choose a random number between 1 and 25. What is the probability that it is an even number

CaHeK987 [17]

Answer:

6/25

Step-by-step explanation:

its a probability out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25

3 0

3 years ago