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2 years ago

Mix some of the $5.50 per pound with 100 pounds of $6.25 per pound to get a $6 per pound mix

Mathematics

2 answers:

Dvinal [7]2 years ago

8 0

x lbs * 5.5 + 100 lbs * 6.25 = (x+100) * 6.00

distribute

5.5x + 625 = 6x+600

subtract 5.5 x from each side

625 = .5x +600

subtract 600 from each side

25 = .5x

divide each side by .5

x = 100

You need 100 pounds of the 5.50 mix

bulgar [2K]2 years ago

3 0

This question is missing lots of context I’m confused.

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The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

7 0

2 years ago

Find the area of the shape shown below plz help

Arturiano [62]

Answer:

60? I'm really not sure mate, i'm really sorry if it's wrong.

Step-by-step explanation:

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2 years ago

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. H

pochemuha

The surface area of the box is <u>1048 square inches</u>

<h3>How to calculate the total surface area of the box</h3>

The formula for calculating the surface area of the prism is expressed as:

Surface area = 2(lw + wh +lh)

Given the following

l = 20in

w = 8in

h = 13in

Substitute the given parameters'

Surface area = 2(lw + wh +lh)

Surface area = 2(20(8) + 8(13) +20(13))

Surface area = 2(160+104+260)

Surface area = 1048 square inches

Hence surface area of the box is <u>1048 square inches</u>

Learn more on surface area of box here: brainly.com/question/26161002

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the silver Town people went to a fancy restaurant after the big event Grammy gave us a $15 tip if the tip was 20% of the cost of

Dvinal [7]

A $15 tip was 20%, so
$15 = .2 \times meal \\ 15 \times 5 = .2(5) \times meal \\ 75 = meal$

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