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4 years ago

The sum of two numbers is 30 and their difference is 12. Find the two numbers.

Mathematics

1 answer:

MariettaO [177]4 years ago

5 0

Answer:

let the two numbers are x & y

x+y=30...eq(1) &x-y=12....eq(2)

x=30-y then put in the eq(2)

30-y-y=12

30-2y=12

-2y=12-30

-2y= -18

y=9 then we put this answer in to eq(1)

so,x+y=30

x+9=30

x=30-9

x=21

so, the two numbers are (21,9)

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A website requires a four-digit numerical password in which the digits cannot repeat. How many possible passwords are there? . .

Law Incorporation [45]

Answer: B) 5040

Step-by-step explanation:

Since total number of digits are 10 ( which are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

And, According to the question, website requires a four-digit numerical password in which the digits cannot repeat.

Therefore, required possible arrangement = $10_P_4$

= $\frac{10!}{(10-4)!}$

= $\frac{10!}{6!}$

= $\frac{10\times 9\times 8\times 7\times 6!}{6!}$

= 10 × 9 × 8 × 7 = 5040

Thus, The required possible password is 5040.

5 0

3 years ago

Read 2 more answers

The amount a spring will stretch, S, varies directly with the weight, F, attached to the spring. If

nexus9112 [7]

Answer: 1.5 inches

Step-by-step explanation:

If two quantities are directly proportional, it means that an increase in the value of one quantity would cause a corresponding increase in the other quantity. Also, a decrease in the value of one quantity would cause a corresponding decrease in the other quantity.

Given that the amount a spring will stretch,S varies directly with weight, F, if we introduce a constant of proportionality, k, the expression becomes

S = kF

When S = 2.22 and L = 37, then

2.22 = 37k

k = 2.22/37 = 0.06

Therefore, the equation that relates the length S that the spring stretches to the weight F is

S = 0.06F

Therefore, if F = 25 pounds, then

S = 0.06 × 25

S = 1.5 inches

6 0

3 years ago

What is the solution of the system?

Kryger [21]

Greetings!

Solve the System, using Elimination:
$\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.$

Multiply Equation #2 by 2:
$\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.$

$\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.$

Eliminate variable x:
$-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}$

$4y=-12$

Divide both sides by 4:
$\frac{4y}{4}= \frac{12}{4}$

$y=3$

Input this value into one of the Equations:
$4x+2y=18$

$4x+2(3)=18$

Simplify:
$4x+6=18$

$(4x+6)+(-6)=(18)+(-6)$

$4x=12$

Divide both sides by 4.
$\frac{4x}{4}= \frac{12}{4}$

$x=3$

The Solution to this System (The Point of Intersection):
$\boxed{(3,3)}$

I hope this helped!
-Benjamin

7 0

3 years ago

61 1/20 as a decimal

OleMash [197]

Answer:

61.05

Step-by-step explanation:

1/20 = 5/100 = 0.05

61+0.05 = 61.05

8 0

3 years ago

Read 2 more answers

Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm

shutvik [7]

Answer:

7 hours 30 minutes

Step-by-step explanation:

Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)

4 hours so far.

takes 1 hour break and returns for 12:30.

She finishes at 4. Time from 12:30 to 4 is (3h30)

3h30 + 4 = 7h30m

Check yourself ^

8 0

3 years ago