All categories

2 years ago

If 5 bags weigh the same as 3 blocks, how many blocks will 9 bags weigh?

Mathematics

2 answers:

crimeas [40]2 years ago

8 0

Answer: C. 5.4 Blocks

Step-by-step explanation:

Given information

5 bags = 3 blocks

Set variable

Let x be the number of blocks

Constructure proportional equation

$\frac{3}{5} } ~=~\frac{x}{9}$

Cross multiply the fraction

$(3)~*~(9)~=~(5)~*~(x)$

$27~=~5x$

Divide 5 on both sides

$27~/~5~=~5x~/~5$

$\Large\boxed{x=5.4~blocks}$

Hope this helps!! :)

Please let me know if you have any questions

alexandr402 [8]2 years ago

3 0

Answer:

Step-by-step explanation:

5 times .6 equals 3

9 times .6 equals 5.4

You might be interested in

Solve the system of equations.{y=2x−64x−2y=14{y=2x−64x−2y=14use the substitution method.the solution is (4, 14)(4, 14).the solut

Lilit [14]

I did this test and failed. But when I reviewed it showed me the right answers... so here is the answer: C. There is no solution.

3 0

3 years ago

Read 2 more answers

What's the equation of these points in slope.

Rashid [163]

Google “slope calculator” on google
Use calculator soup.

4 0

3 years ago

The Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of p

Romashka-Z-Leto [24]

Answer:

(c) For p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here, The dividend expression is $4x^2-p(x)+7$ = E(x)

The Divisor = (x-3)

Remainder = -2

Now, by REMAINDER THEOREM:

Dividend = (Divisor x Quotient) + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒ x = 3 is a solution of given polynomial E(x) - (-2) =

$E(x) - (-2) = 4x^2-p(x)+7 -(-2) = 4x^2-p(x)+9$ = S(x)

Now, S(3) = 0

⇒ $4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p =15$

or, p =1 5

Hence, for p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

6 0

3 years ago

Availability is the most important consideration for designing servers, followed closely by scalability and throughput. a. [10]&

SashulF [63]

Answer:

a) Mean Time to failure (MTTF) = (10^7) hours

b) Availability of the system = 1

c) Mean Time to failure for 1000 processors = 10^4 hours.

Step-by-step explanation:

a) Failures in time (FIT) is traditionally reported as failure Per billion hours Of Operation.

1 billion = (10^9)

FIT = 100/(10^9) = 10^-7

MTTF = 1/FIT = 1/(10^-7) = (10^7) hours

b) Availability of the system = MTTF/(MTTF + MTTR)

MTTR = mean time to repair = 24hours

Availability of the system = (10^7)/((10^7) + 24) = 0.9999 = 1

c) FIT = 1000 (processors) × 100 (FIT per processor) = (10^5) per billion hours of operations = (10^5)/(10^9) = 10^-4

MTTF = 1/FIT = 1/(10^-4) = (10^4) hours

QED!!

7 0

3 years ago

I WILL MARK BRAINLIEST

vekshin1

Hello!

You can use the Pythagorean Theorem

$a^{2} + b^{2} = c^{2}$

c is the hypotenuse which is the side across the right angle
a and b are the other sides

Put in the values you know

$a^{2} + 5^{2} = 12^{2}$

Square the numbers

$a^{2} + 25 = 144$

Subtract 25 from both sides

$a^{2} = 119$

Take the square root of both sides

a = 10.9

The answer is D) 10.9 centimeters

Hope this helps!

3 0

3 years ago

Read 2 more answers