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Marizza181 [45]
3 years ago
9

The sum of two numbers is 15 if the sum of their reciprocal is 3/10 find the numbers

Mathematics
1 answer:
malfutka [58]3 years ago
6 0

Answer:

The numbers are 10 and 5

Step-by-step explanation:

x+y=15

(1/x)+(1/y)=(3/10)

(1/(15-y))+(1/y)=(3/10)

x=10, y=5

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PLEASE HELP 15 POINTS WILL GIVE BRAINLIEST The following formula, F = ma, relates three quantities: Force (F), mass (m), and acc
8_murik_8 [283]
Part A

The expression "ma" is the same as "m*a" (m times a). To isolate 'a', we divide both sides by m. Division is the inverse operation of multiplication. Think of it as undoing multiplication

F = ma
F = m*a
F/m = m*a/m
F/m = a
a = F/m

Answer: a = F/m
Note: the slash "/" without quotes means "divide"

===========================================
Part B

Use the result from part A. We will plug F = -24 and m = 10 into that equation

a = F/m
a = -24/10
a = -2.4

Answer: -2.4

===========================================
Part C

We will use the equation F = m*a

F = m*a
24 = m*12 ... plug in F = 24 and a = 12
24/12 = m*12/12
2 = m
m = 2

Answer: 2


4 0
3 years ago
Consider parallelogram △MNOP shown above.
Nina [5.8K]

To find the length of the sides of this parallelogram, we just have to calculate the length of each side and then proceed to find the perimeter.

The perimeter of the parallelogram is 13 units.

<h3>Perimeter of a Parallelogram</h3>

To calculate the perimeter of a parallelogram, we need the values of the length of the sides. However, if we have the details of two opposite sides, we can find the perimeter of the parallelogram because opposite sides are equal.

  • Length of MN = 2units
  • Length of MP = 4.5 units

The perimeter of MNOP can be calculated as

perimeter = 2(MP + MN)

We can substitute the values into the equation and solve

perimeter = 2(MP + MN)\\perimeter = 2 * (4.5 + 2)\\perimeter = 2 * 6.5\\perimeter = 13

The perimeter of the parallelogram is 13 units.

learn more on perimeter of a parallelogram here;

brainly.com/question/10919634

#SPJ1

6 0
2 years ago
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Ro
Wittaler [7]

The sides of the box are 12in by 12in by 30in.

The interior diagonal =[12^2+12^2+30^2]0.5

=[144+144+900]^0.5

=1188^0.5

The final answer is 34.47in.

My deepest apology if this is not what you meant.

= 34.47in.

3 0
3 years ago
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)
saw5 [17]

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13

Put m in (i) , we get

25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6

7 0
3 years ago
Write equivalent expression for 7× + 4× + 3-1
Mazyrski [523]

Answer: you just flip it. It would be the opposite.

Step-by-step explanation:

When you flip it, what’s the difference? It’s still the same.

6 0
3 years ago
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