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2 years ago

If two hamburger and one soda cost $6 and one hamburger and two sodas cost $4.50, find the cost of one hamburger and one soda.

1 answer:

4 0

One hamburger and one soda would cost $3.50.
Because one hamburger costs $2.50, and one soda costs $1.00.
And if two hamburgers and one soda costs $6.00, 2x$2.50(Hamburgers)=$5+$1(Soda)=$6. One hamburger and two sodas costs $4.50. 2x$1.00(Soda)=$2.00+$2.50=$4.50.

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What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?

Morgarella [4.7K]

Answer:

y= -1x-5

Step-by-step explanation:

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2 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

2 years ago

Pls help me i just need help

Ray Of Light [21]

Step-by-step explanation:

the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.

it is really that easy.

the equations just put this into mathematical form :

y = 0.02×x + 800

y = 0.06×x + 600

please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).

and then the total cost goes up with every copy we make.

I cannot draw here.

so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :

0.02×x + 800 = 0.06×x + 600

200 = 0.04×x

x = 200 / 0.04 = 5000

when making 5000 copies both costs are the same.

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1 year ago

Rearrange (∛7ab²)³ to have a rational exponent.

Butoxors [25]

I think 7a^3b^6, but im not sure so im sorry if it is wrong

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2 years ago

The lines graphed below are perpendicular. The slope of the red line is -2.

ASHA 777 [7]

Answer:

1/2

Step-by-step explanation:

opposite reciprocal

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2 years ago