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vlabodo [156]
3 years ago
14

5х + y = 16 х+ 6у = 38

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

(2,6)

Step-by-step explanation:

Solve by substitution. Solve the second equation for x:

x+6y=38\\\\x+6y-6y=38-6y\\\\x=38-6y

Insert the value of x into the first equation:

5(38-6y)+y=16

Solve for y. Simplify multiplication using the distributive property:

5(38)+5(-6y)+y=16\\\\190-30y+y=16\\\\190-29y=16

Subtract 190 from both sides:

190-190-29y=16-190\\\\-29y=-174

Isolate the variable to find its value. Divide both sides by -29:

\frac{-29y}{-29}=\frac{-174}{-29}  \\\\y=6

Now take the value of y and insert back into either equation to solve for x:

5x+6=16

Subtract 6 from both sides:

5x+6-6=16-6\\\\5x=10

Divide both sides by 5:

\frac{5x}{5}=\frac{10}{5}\\\\  x=2

Therefore, the solution to the system is (2,6).

:Done

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Greg's grocery store placed an order for yogurt. The store ordered 1,020 cartons of yogurt. Each carton ordered was blueberry, P
marin [14]

Answer:

  544

Step-by-step explanation:

The ratios of cartons are ...

  B : P = 2 : 1

  S : L = 2 : 1

  L : B = 2 : 1

Combining these into a single set of ratios, we have ...

  S : L : B : P = 8 : 4 : 2 : 1

Then the proportion of the order that is strawberry is ...

  8/(8+4+2+1) = 8/15

and the number of strawberry cartons is ...

  (8/15)·1020 = 544

The store ordered 544 cartons of strawberry yogurt.

4 0
3 years ago
Sarah and Jane both brought new storage containers for packing away winter clothing. Sarah’s storage containers are cubic meters
kobusy [5.1K]

Answer: the answer is Sarah

Step-by-step explanation:

Just got it correct on Plato

4 0
3 years ago
URGENT Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: StartFractio
Marrrta [24]

The value of the highlighted variables ave been determined a =6, b= 2 ,c= 6 , d = 2  , e = 6 , f = 6, g =1

<h3>What is an Expression ?</h3>

An expression are mathematical statement consisting of variables , constants and mathematical operators .

The given expression is

\rm \dfrac{2}{x^2-36} - \dfrac{1}{x^2 +6x} = \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+a)}\\\\= \dfrac{bx}{x(x+6)(x-6)}-\dfrac{x-c}{(x+6)(x+6)x}\\\\= \dfrac{dx-x+e}{x(x+6)(x-6)}\\\\= \dfrac{x+f}{x(x+6)(x-6)}\\\\= \dfrac{g}{x(x-6)}

a = 6

b= 2

c= 6

d = 2

e = 6

f = 6

g =1

Therefore the value of the highlighted variables ave been determined.

To know more about Expression

brainly.com/question/14083225

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3 0
2 years ago
How many square feet of outdoor carpet will we need for this hole
Fed [463]

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

4 0
3 years ago
The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0
3 years ago
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