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Alexeev081 [22]
3 years ago
5

PLEASE HELP ME

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

(a) How many grams of copper are in the resulting mixture?

= 160 grams

(b) What percentage of the resulting mixture is copper?

= 61.5%

Step-by-step explanation:

(a) How many grams of copper are in the resulting mixture?

From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams

(b) What percentage of the resulting mixture is copper?

70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is copper is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%

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Maths easy class 8 whoever gets it I will give u brainlist​
asambeis [7]

Answer:

424 cm²

Step-by-step explanation:

The figure is composed of a square and a trapezium on top

A of square = 18² = 324 cm²

A of trapezium = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 8, b₁ = 18 and b₂ = 7 , then

A = 0.5 × 8 × (18 + 7) = 4 × 25 = 100 cm²

Area of hexagonal park = 324 + 100 = 424 cm²

8 0
3 years ago
Which is the equivalent of 6 14’ 48” written in decimal form ?
goblinko [34]

Answer:

Option A. 6.247°

Step-by-step explanation:

we know that

1°=60'

1'=60"

we have

6° 14' 48"

Convert to decimal form

<em>Convert seconds to minutes</em>

48"=48/60=0.8'

so

6° 14' 48"=6° + 14' +0.8'=6° 14.8'

<em>Convert minutes to degrees</em>

14.8'=14.8/60=0.247°

so

6° 14.8' =6° + 0.247°=6.247°

8 0
4 years ago
Read 2 more answers
Find the erea of the trapezoid.
katrin2010 [14]

9514 1404 393

Answer:

  32 yd²

Step-by-step explanation:

Use the area formula with the given dimensions.

  A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h

  A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards

The area of the trapezoid is 32 square yards.

6 0
3 years ago
Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write
Tasya [4]

Answer:

Joe worked 3 hours overtime.

Step-by-step explanation:

Let t = number of hours overworked

425 + 20 × t = 485

425 + 20t = 485

20t = 485 - 425

     = 60

\frac{20t}{20} = \frac{60}{20}

t = 3

\therefore Joe worked 3 hours over time.

Hope this helps :)

6 0
3 years ago
Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4). A) y = 2x + 4 B) y = 2x - 8 C
Lynna [10]

Answer:

\large\boxed{D.\ y=-\dfrac{1}{2}x+7}

Step-by-step explanation:

\text{Let}\\k:\ A_1x+B_1=C_1\\\\l:\ A_2x+B_2y=C_2\\\\\text{then}\\\\k\ \parallel\ l\iff A_1=A_2\ \wedge\ B_1=B_2\\==========================

\text{We have the equation:}\ 2x+4y=6\\\\\text{Therefore the equation of a parallel line is:}\ 2x+4y=C\\\\\text{Put the coordinates of the given point to the equation and solve for}\ C:\\\\(6,\ 4)\to x=6,\ y=4\\\\C=2(6)+4(4)\\C=12+16\\C=28\\\\\text{The equation in the standard form:}\\\\2x+4y=28

\text{Convert to the slope-intercept form}\ y=mx+b:\\\\2x+4y=28\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\4y=-2x+28\qquad\text{divide both sides by 4}\\\\y=-\dfrac{2}{4}x+\dfrac{28}{4}\\\\y=-\dfrac{1}{2}x+7

8 0
4 years ago
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