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3 years ago

Y = 1.10x + 5.00 y = 1.50x + 3.00 (substitution)

Mathematics

2 answers:

otez555 [7]3 years ago

5 0

Answer:

x=5 and y=10.5

Step-by-step explanation:

nataly862011 [7]3 years ago

4 0

Solving the system of equations $y = 1.10x + 5.00\\y = 1.50x + 3.00$ we get x=5 and y=10.5

Step-by-step explanation:

We need to solve the system of equations by substitutions.

The system of equations given are:

$y = 1.10x + 5.00\\y = 1.50x + 3.00$

Let:

$y = 1.10 x+5.00\,\,eq(1)\\y = 1.50 x+ 3.00\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$1.50 x+ 3.00=1.10 x+5.00\\1.50 x-1.10 x=+5.00-3.00\\0.4x=2.00\\x=2.00/0.4\\x=5$

So, value of x=5

Now putting value of x in eq 1 to find value of y:

$y = 1.10x + 5.00$

$y = 1.10(5) + 5.00$

$y = 5.5 + 5.00$

$y = 10.5$

So, value of y is 10.5

Solving the system of equations $y = 1.10x + 5.00\\y = 1.50x + 3.00$ we get x=5 and y=10.5

Keywords: System of equations

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What is the answer to 58Q+6Q*8Q

Blababa [14]

Use p.e.m.d.a.s.
first multiply 6Q and 8Q = 48Q
then subtract 58Q and 48Q = 10Q

8 0

3 years ago

HELP

Dimas [21]

Answer:

$17.14

Step-by-step explanation:

Given : $y = - 0.34x^2 + 4.43x + 3.46$

To Find : Using the quadratic regression equation, what was the predicted profit in year 8

Solution :

$y = - 0.34x^2 + 4.43x + 3.46$

Where y is profit and x is year

Substitute x = 8

$y = -0.34(8)^2 + 4.43(8) + 3.46$

$y =17.14$

So, Option D is true

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5 0

3 years ago

Read 2 more answers

you can spend at most $20 on tomatoes and red peppers for a soup. tomatoes cost $2.50 per pound and red peppers cost $4 per poun

Ber [7]

Answer-

$\boxed{\boxed{2.50x+4y\leq 20}}$

Solution-

The total money that you have or maximum amount that you can spend = $20

Let's assume,

x = Number of tomatoes bought

y = Number of red peppers bought

Price of tomatoes per pound = $2.50

Price of red peppers per pound = $4

Hence,

Total cost of tomatoes = $2.5x

Total cost of red peppers = $4y

As you can spend at most (any amount less than or equal to) $20, so

$2.5x+4y\leq 20$

Taking a point as origin (0, 0) and then putting it in the equation,

$\Rightarrow 2.5(0)+4(0)\leq 20\\\\\Rightarrow 0\leq 20$

As this satisfies, so the shaded region will be towards that point i.e origin

From the graph, the two solutions that are on the boundary line are (8, 0), (5, 0)

6 0

3 years ago

Answer ASAP!

Alex Ar [27]

I multiplied the dimensions and divided it by 75, got 8.75 but you need to round in this situation, so 9
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6 0

2 years ago

P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)

Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

$\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}$ ⇒(1)

$\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}$ ⇒(2)

$\frac{2x-14}{x-7}=2$ ⇒(3)

From (1) , (2) and (3)

The quotient of the long division is $x^{2}+x+2$ and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

$(x^{2}+x+2)(x-7)=x^{3}-6x^{2}-5x-14$

8 0

3 years ago