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3 years ago

Pls help ASAP

Mathematics

1 answer:

kondaur [170]3 years ago

3 0

Answer:

10 ml of a 72% solution, 20 ml of a 54% solution

Step-by-step explanation:

x ml - amount of a 72% solution

y ml - amount of a 54% solution

$\left \{ {{x+y=30} \atop {72x+54y=30*60}} \right.$

$\left \{ {{x=30-y} \atop {72(30-y)+54y=1800}} \right.$ (1)

(1) 2160-72y+54y=1800

y=20

x=30-y=30-20=10

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PLEASE HELP!!!! WILL GIVE 50 POINTS!!!!

Simora [160]

Answer:

you have to set the points to 100 to give 50 cuz 2 people answer the question lol

Step-by-step explanation:

6 0

3 years ago

Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the a

sveticcg [70]

Complete question is;

An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.

110, 130, 150, 170, ...

Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?

Answer:

The recursive formula can be expressed as; f(x + 1) = f(x) + 20

Step-by-step explanation:

Electrician earns $110 dollars after working for 1 hour.

We were told his total pay based on number of hours worked can be represented by: 110, 130, 150, 170...

This means that writing it down as a function, we can say;

f(1) = $110, f(2) = $130 e.t.c

Now,since we want to express a recursive formula to explain the question, then let's say after the 1 hour worked, he earned $110, then the hour after that, his total is $130,then the hour after that, his total is $150.

This means that he earns an additional $20 each hour.

Thus;

f(x + 1) = f(x) + 20

Where x is number of hours and f(x) is payment after x number of hours

The recursive formula can be expressed as; f(x + 1) = f(x) + 20

5 0

3 years ago

Find the area of the rectangle. Round the answer to the nearest whole number.

Fed [463]

Answer:

The area of the given rectangle is 51

Step-by-step explanation:

First we have to find the coordinates of the vertices of the rectangle.

Then the length and breadth of it using distance formula.

The distance d between points (x₁ , y₁) and (x₂ , y₂) is given by

$d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Finally calculate the area of rectangle using the formula,

Area of rectangle = Length * Breadth

From the given graph, we get the coordinates of the rectangle as

A(2,4) , B(-2,3) , C(1,-9) , D(5,-8)

Breadth, AB = $\sqrt{(-2-2)^{2}+(3-4)^{2}} = \sqrt{16+1} = sqrt{17}$

Length, BC = $\sqrt{(1+2)^{2}+(-9-3)^{2}} = \sqrt{9+144} = 3 sqrt{17}$

Now, Area of rectangle = Length * Breadth = AB * BC = √17 * 3√17 = 3 *17 = 51

∴ The area of the given rectangle is 51

7 0

4 years ago

Read 2 more answers

The perimeter of a rectangle is 84 feet. the length is two feet greater than 3 times the width. Find the length and width. Draw

Kipish [7]

The formula for a rectangle's perimeter is

P = 2l + 2w

We know the length is 2 ft greater than thrice the width, so 2l becomes:

3w + 2ft + 3w + 2ft

Substitute.

P = 3w + 2ft + 3w + 2ft + 2w

Add like terms.

P = 8w + 4ft

Substitute P.

84 ft = 8w + 4ft

Subtract 4 ft from both sides to eliminate. (Property of equality)

84 ft - 4ft = 8w + 4ft - 4ft
80 ft = 8w

Divide 8 on both sides to isolate w.

80 ft / 8 = 8w / 8

10 ft = w

We have the value of w, now look for the l which we know is 2 feet more than thrice the value of w.

l = 10 ft × 3 + 2 ft
l = 30 ft + 2 ft
l = 32 ft

Therefore, the length and the width of the rectangle is 10 ft (w) and 32 ft (l).

Check:
84 ft = (2) (10 ft) + (2) (32 ft)
84 ft = 20 ft + 64 ft
84 ft = 84 ft ✔

♧

4 0

4 years ago

Hellllllllllllllllllllpppppppppppp

zhuklara [117]

Answer:

just a side note, uhh i cant see your pictures. I dont know

if anyone else can or not but yeah

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers