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2 years ago

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