Just answer these two questions quick I am VERY CONFUSED I give Brainliest

Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and

sp2606 [1]

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Step-by-step explanation:

Cost of almonds per pound = $10

Cost of roasted pistachios = $12

Total amount spent = $70

Weight of nuts = 6.3

Let,

Weight of almonds = x

Weight of roasted pistachios = y

According to given statement;

x+y=6.3 Eqn 1

10x+12y=70 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2;

$(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7$

Dividing both sides by 2

$\frac{2y}{2}=\frac{7}{2}\\y=3.5$

Putting y=3.5 in Eqn 1

$x+3.5=6.3\\x=6.3-3.5\\x=2.8$

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Keywords: linear equations, elimination method

Learn more about elimination method at:

#LearnwithBrainly

8 0

2 years ago

Krystal puts three pencils in order from longest to shortest. What is a fast way to order the same pencil from shortest to longe

mart [117]

By flipping the order

7 0

3 years ago

In History, you earned an exam score of X-85 where the exam average was μ-65 with a standard deviation of σ-5. In Biology, you e

topjm [15]

Answer: D. History

Step-by-step explanation:

To answer this question, we need to use the z-score formula written below:

$\frac{x-pop. mean}{stan. devi.}$

Now we'll just plug in the numbers and solve.

History:

$\frac{85-65}{5} = 4$

Biology:

$\frac{90-85}{10} =0.5$

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History

4 0

3 years ago

30 POINTS

Bumek [7]

Answer:

A:triangular prism?!!

5 0

2 years ago

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las t

Drupady [299]

Answer:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?

==================

Let the parts be x, y and z

As per given we get below system of equations:

x + y + z = 25000
0.1x + 0.12y + 0.16z = 3200
0.1x + 0.2y = 0.16z

Substitute 0.1x + 0.2y in the second equation:

0.16z + 0.16z = 3200
0.32z = 3200
z = 3200/0.32
z = 10000

Now we have:

x + y + 10000 = 25000 ⇒ x + y = 15000

and

0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

Multiply the second equation and then subtract the first one:

10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
x + 1.2y - (x + y) = 16000 - 15000
0.2y = 1000
y = 10000

Then

x = 15000 - 10000 = 5000

So the parts are:

$5000 at 10%, $10000 at 12% and 10000 at 16%

4 0

2 years ago