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3 years ago

Five apples and four oranges cost $11.80. One apple and six oranges cost $9.90. how much does one orange cost?

Mathematics

2 answers:

choli [55]3 years ago

7 0

Answer:

One orange costs $1.45.

Step-by-step explanation:

Since there are two variables, you have to set up a 2 variable equation.

Let's let a = apples and o = oranges.

So, we can set up this problem as:

5a + 4o = 11.80

1a + 6o = 9.90

You can solve a 2-variable equation using either elimination or substitution. Here, I think it's easier to use substitution. To do that we have to substitute one variable with an equation that uses only the other so that we only have one variable.

We can manipulate our second equation so that it is:

a = 9.90 - 6o

Then, we can plug this in for a in the first equation. So,

5 (9.90 - 6o) + 4o = 11.80

49.5 -30o +4o = 11.80 (Distribute the 5)

49.5 - 26o = 11.80 (Combine like terms)

-26o = -37.7 (Subtract 49.5 from both sides)

o = 1.45 (Divide by -26)

o = 1.45

So, an orange costs $1.45.

andreyandreev [35.5K]3 years ago

4 0

Answer:

the cost of orange is 170

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3 years ago

An osha inspection was conducted at Raul’s workplace. He is curious about the results and wonders what actions his employers mig

Ivan

Answer : YES!

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4 years ago

The equation 2x^2 – 8x = 5 is rewritten in the form of 2(x – p)^2 + q = 0. what is the value of q?

QveST [7]

Answer:

q = -13

Step-by-step explanation:

The given equation is:

$2x^{2}-8x=5$

Taking 2 as common from left hand side, we get:

$2(x^{2}-4x)=5\\\\2[x^{2} - 2(x)(2)]=5$

The square of difference is written as:

$(a-b)^{2}=a^2 - 2ab + b^{2}$ Equation 1

If we compare the given equation from previous step to formula in Equation 1, we note that we have square of first term(x), twice the product of 1st term(x) and second term(2) and the square of second term(2) is missing. So in order to complete the square we need to add and subtract square of 2 to right hand side. i.e.

$2[x^{2}-2(x)(2)+(2)^2-(2)^{2}]=5\\\\ 2[x^{2}-2(x)(2)+(2)^2]-2(2)^{2}=5\\\\ 2(x-2)^{2}-2(4)=5\\\\ 2(x-2)^2-8=5\\\\ 2(x-2)^{2}-8-5=0\\\\ 2(x-2)^{2}-13=0$

Comparing the above equation with the given equation:

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3 years ago

How to determine if vectors are parallel?

sattari [20]

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3 years ago

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f

nekit [7.7K]

Answer:

The correct linear equation is;

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Step-by-step explanation:

To choose the correct linear function, we just need to take a specific point, then substitute in each of the equations given to get the one right

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Let us use another point to test this

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3 years ago