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3 years ago

I need help with #4 anyone pls?

Mathematics

1 answer:

kvasek [131]3 years ago

5 0

Answer:

C. 0 6 10

Step-by-Step-Explanation:

the number on the left of the indicated operation is the original set

the number '2' next to R shows that you need to multiply certain numbers by 2

the subscript on the R's shows which row the multiplication needs to be done on...

so in this case, leave the second row alone: 1 3 4

but multiply the first row by 2: 0 6 10

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Combine 2y+1x=40 and y=2x using substitution

fomenos

2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution

Solution:

Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method

The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.

Given equations are:

2y + 1x = 40 -------- eqn 1

y = 2x ----------- eqn 2

We can substitute eqn 2 in eqn 1

Which means, substitute y = 2x in place of y in eqn 1

2(2x) + 1x = 40

4x + 1x = 40

5x = 40

x = 8

From eqn 2,

y = 2(8)

y = 16

Thus by combining using substitution method we found the solution

3 0

3 years ago

What is the equation of the line?

ziro4ka [17]

Answer: x=0

Step-by-step explanation:

The line has an undefined slope and has infinitely many solutions as it passes through the y-axis

Therefore the equation of the line is x=0

7 0

2 years ago

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

Thus the daily expense in dollars can be given by = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

Tour duration now = $(x+4)$ days

On extension, his daily expense is cut by $3

New daily expense in dollars = $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

A swim coach has at most $800 to buy equipment for the swim team. Each pull buoy costs $5.50 and each kickboard costs $10. Let x

MissTica

Answer:

5.50x+10y≤800

Step-by-step explanation:

The pull bouys are $5.50 each (5.50x)

The kickboards are $10 each (10y)

And the words "at most" mean less than or equal to

Hope this helps

(can I plz have a brainliest)

3 0

3 years ago

Order these decimals from smallest to largest 1.89 -0.81 -2.6 0.24 -1.7

tiny-mole [99]

Answer:

-2.6, -1.7, -0.81, 0.24, 1.89

Step-by-step explanation:

5 0

3 years ago

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