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Gekata [30.6K]
2 years ago
9

Solve for the value of x and y when 3x+2y=24 , x+y=9 step wise explanation plz

Mathematics
2 answers:
OLga [1]2 years ago
6 0

Answer:

{x,y} = {2,9}

Step-by-step explanation:

Solve equation [2] for the variable  y  

 

 [2]    2y = -6x + 30

 [2]    y = -3x + 15

// Plug this in for variable  y  in equation [1]

  [1]    3x + 2•(-3x+15) = 24

  [1]    -3x = -6

// Solve equation [1] for the variable  x  

  [1]    3x = 6  

  [1]    x = 2  

// By now we know this much :

   x = 2

   y = -3x+15

// Use the  x  value to solve for  y  

   y = -3(2)+15 = 9

grigory [225]2 years ago
4 0
This is what I got. Tell me if I got it wrong.

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B. To make salad dressing for the fruit salad, Mrs. Santos uses 2/4 cup oil, 1 cup orange juice, and 3/4 cup honey. How many cup
Ket [755]

Answer:

\sf 2 \frac14 \ cups

Step-by-step explanation:

Add the amounts together:

\sf \implies \dfrac24+1+\dfrac34

Convert the whole number 1 into a fraction with denominator 4:

\sf \implies \dfrac24+\dfrac44+\dfrac34

As all the denominators are the same, we can simply add the numerators:

\sf \implies \dfrac{2+4+3}4

\sf \implies \dfrac94

Finally, convert the improper fraction into a mixed number:

\sf \implies 2 \frac14 \ cups

5 0
2 years ago
Read 2 more answers
the dimensions of the oven tray is 600mm by 500mm. Each cake tin is 25cm in diameter. How many cake tins can be fit on the oven
gulaghasi [49]

That's 60cm by 50cm

so that would be 4 cake tins

8 0
3 years ago
Read 2 more answers
In the air, it had an average speed of 16 m/s In the water, it had an average speed of 3 m/s before hitting the seabed. The tota
julia-pushkina [17]
<h2>The stone fall in air for 7 seconds and fall in water for 5 seconds.</h2>

Step-by-step explanation:

Total distance to sea bed = 127 m

Let the distance traveled in air be s.

Distance traveled in water = 127 - s

Average velocity in air = 16 m/s

Average velocity in water = 3 m/s

Distance traveled in air = Average velocity in air x Time in air

s = 16 x t₁

t_1=\frac{s}{16}

Distance traveled in water = Average velocity in water x Time in water

127-s = 3 x t₂

t_2=\frac{127-s}{3}

We have total time is 12 seconds

That is

                t₁ + t₂ = 12

                \frac{s}{16}+\frac{127-s}{3}=12\\\\3s+2032-16s=576\\\\13s=1456\\\\s=112m

We have

            s = 16 x t₁

            112 = 16 x t₁

             t₁ = 7 s

           t₁ + t₂ = 12

            7 + t₂ = 12    

             t₂ = 5 s

The stone fall in air for 7 seconds and fall in water for 5 seconds.

7 0
3 years ago
find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)
scoray [572]

Answer:

p(x,y) = (-2.6 ,2.4)

Step-by-step explanation:

Given

a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})

Where m and n are the ratio; m = 1 and n = 4

(x_1, y_1) = (-5,4); \\(x_2, y_2) = (7,-4)

So,

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n}) becomes

p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})

p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})

p(x,y) = (\frac{-13}{5} ,\frac{12}{5})

p(x,y) = (-2.6 ,2.4)

Hence, the coordinates of p are (-2.6,2.4)

3 0
3 years ago
The equation of line EF is y = 1 over 2 x + 6. Write an equation of a line parallel to line EF in slope-intercept form that cont
MrRissso [65]
Nor sure what you're doing on the bottom but use point slope thing
y-0=-2(x+2)
y=-2x+2
So not sure what you're asking but...
yeah, you're right.
5 0
3 years ago
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