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
Alexxx [7]
3 years ago
12

b) The sum of 9 times a larger number and twice a smaller is 6. The difference of 3 times the larger and the smaller is 7. Compu

te the numbers. (10marks) Remarks: These questions involved several scenarios 1. Assign the variables -2marks 2. Assumptions of the context of the two numbers -2marks 3. Apply linear systems -2marks 4. Compute using the applicable method of system of linear system -2marks 5. Compute both numbers from above-2marks
Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

1) let the larger number be x and the smaller is y

2) 9x + 2y = 6

3x - y = 7

3) 9x+2y=6 and 9x -3y = 21

5y = -15

y= -3

5)

3x=4

x=4/3

You might be interested in
An airplane captain must have a minimum of 1500 hours of<br> flying experience. Tom has 715.
MatroZZZ [7]

Answer:

He needs 785 more minutes

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)
Triss [41]

Answer:

800 × ( 3.87 ÷ 100 ) × 1

= 30.96

3 0
3 years ago
A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is
koban [17]

The expected length of code for one encoded symbol is

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha

where p_\alpha is the probability of picking the letter \alpha, and \ell_\alpha is the length of code needed to encode \alpha. p_\alpha is given to us, and we have

\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

so that we expect a contribution of

\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375

bits to the code per encoded letter. For a string of length n, we would then expect E[L]=1.375n.

By definition of variance, we have

\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2

For a string consisting of one letter, we have

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4

so that the variance for the length such a string is

\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859

"squared" bits per encoded letter. For a string of length n, we would get \mathrm{Var}[L]=1.859n.

5 0
3 years ago
Please help with all 3
DerKrebs [107]

Answer:

1, volume=23×9×5

=1035

2, volume=(1/2×5×4)×20

... =200

3.

8 0
2 years ago
Read 2 more answers
Joseph needs 6 1/2 cups of cooked rice for a recipe of nasi gorang. If 2 cups of uncooked rice with 2 1/2 cups of water make 4 1
liraira [26]

Answer:

The number of the cups of uncooked rice is 3 cups

The number of the cups of water is 3\frac{3}{4} cups

Step-by-step explanation:

* Let us read the recipe of Nasi Gorang

- 2 cups of uncooked rice need 2\frac{1}{2} cups of water to

  make 4\frac{1}{3} cups of cooked rice

- Joseph needs 6\frac{1}{2} cups of cooked rice

- We need to know how many cups of uncooked rice Joshep needs

  for this recipe and how much water should be added

* We can solve this problem by using the ratio method

⇒ uncooked cups   :   water cups   :   cooked cups

⇒ 2                           :   2\frac{1}{2}                   :  4\frac{1}{3}

⇒  x                           :   y                     :  6\frac{1}{2}

- By using cross multiplication

∵ x ( 4\frac{1}{3} ) = 2 ( 6\frac{1}{2} )

∵ 4\frac{1}{3} = \frac{13}{3}

∵ 6\frac{1}{2} = \frac{13}{2}

∴ x ( \frac{13}{3} ) = 2 ( \frac{13}{2} )

∴ \frac{13}{3} x = 13

- Divide both sides by \frac{13}{3}

∴ x = 3

∴ The number of the cups of uncooked rice is 3 cups

- By using cross multiplication

∵ y ( 4\frac{1}{3} ) =  ( 2\frac{1}{2} )( 6\frac{1}{2} )

∵ 2\frac{1}{2} = \frac{5}{2}

∵ 6\frac{1}{2} = \frac{13}{2}

∵ 4\frac{1}{3} = \frac{13}{3}

∴ \frac{13}{3} y = ( \frac{5}{2} )( \frac{13}{2} )

∴ \frac{13}{3} y = \frac{65}{4}

- Divide both sides by \frac{13}{3}

∴ y = 3\frac{3}{4}

∴ The number of the cups of water is 3\frac{3}{4} cups

6 0
2 years ago
Other questions:
  • Sam drove 754 miles in 13 hours, at the same rate how many miles would he drive in 9 hours
    7·2 answers
  • 3(2x+1)=21 <br> Solve this multi-step equation using the distributive property
    9·1 answer
  • (a²b²-c²)(a²b²+c²)<br>simplify​
    8·2 answers
  • While walking home on a dark night, Joanna saw a bright light in the sky and concluded that it must have been a spaceship from a
    11·2 answers
  • Which is the graph of the cube root function f(x) = 3√x
    8·2 answers
  • Can someone help solve for number 3a and 3b
    13·1 answer
  • Given that T=KX/Y,find the percentage increase in T when k, xandy all increase by 20%​
    7·1 answer
  • 5.<br> 12.8 ft<br> 9 ft<br> 9 ft
    13·2 answers
  • Find the perimeter of the regular polygon 7x+4 5(x + 2) - 1​
    12·1 answer
  • Suppose that $16,000 is deposited for five years at 5 % APR. Calculate the interest earned if interest is compounded semiannuall
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!