1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
murzikaleks [220]
3 years ago
12

The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?​Shown working out pl

ease
Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Let numbers be x and y

ATQ

  • x+y=49---(1)

  • x-y=9---(2)

Adding both

\\ \sf\longmapsto 2x=58

\\ \sf\longmapsto x=\dfrac{58}{2}

\\ \sf\longmapsto x=29

Now putting value in eq(2)

\\ \sf\longmapsto x-y=9

\\ \sf\longmapsto 29-9=y

\\ \sf\longmapsto y=20

You might be interested in
What is the range of the function f(x) = |x| – 3?
Alla [95]
The range would be [-3, infinity)
-3 (inclusive) to infinity (non-inclusive)

7 0
3 years ago
A chain lying on the ground is 10 m long and its mass is 70 kg. How much work (in J) is required to raise one end of the chain t
DerKrebs [107]

Answer:

W= 34.3 \frac{kg}{s^2} (4^2-0^2)m^2 =548.8 \frac{kg m^2}{s^2} =548.8 J

Step-by-step explanation:

Data Given: m = 70 kg , g = 9.8 ms^-2, h =10m.

For this case we can use the following formula:

W = \int_{x_i}^{x_f} F(x) dx

For this case we need to find an expression for the force in terms of the distance. And since on this case the total distance is 10 m long we can write the expression like this:

F(x) = \frac{ma}{10m}= \frac{mg}{10m} x

The only acceleration on this case is the gravity and if we replace the values given we got:

\frac{70 kg *9.8 m/s^2}{10m} x=68.6 x\frac{kg}{s^2}

Now we can find the required work with the following integral:

W= 68.6 \frac{kg}{s^2} \int_{0}^4 x dx

W= 34.3 \frac{kg}{s^2} x^2 \Big|_0^4

W= 34.3 \frac{kg}{s^2} (4^2-0^2)m^2 =548.8 \frac{kg m^2}{s^2} =548.8 J

7 0
4 years ago
A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i
Oxana [17]

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

4 0
4 years ago
Which of the following graphs shows the solutions to the equations
Over [174]
X - 1 < = 6
x < = 6 + 1
x < = 7.....2nd number line is correct
3 0
4 years ago
$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earne
viva [34]
So, what we have to do is split 10000
0.04(2500) + 0.05(7500)
Multiply:
100 + 375 = 475
$475 is made in one year
6 0
4 years ago
Other questions:
  • Two standard number cubes are thrown. Find the probability that the sum of the numbers showing is ten given that the first numbe
    7·1 answer
  • What is the 200th terms?​
    5·1 answer
  • Original price 89.00 mark down 33%
    15·1 answer
  • What is standard form in slope
    13·2 answers
  • If you are a driver under 21 with a breath or blood alcohol level of .05 or higher, what will you be required to do
    13·1 answer
  • A baker needs 15lb of cream cheese that contains 20% fat to fill a big order. But his supplier delivers one cream cheese that co
    5·1 answer
  • PLEASE HELP ME WITH THIS!! PICTURE IS PROVIDED
    8·1 answer
  • Can you guys help me pleaseeeeeeee ?
    13·1 answer
  • Yesterday, I spent $29.81 for 11 gallons of gasoline. What is the unit rate
    10·1 answer
  • Solve for x. Round to the nearest tenth, if necessary.<br> X<br> H
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!