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iris [78.8K]
2 years ago
9

Hep asappppppppppppp

Mathematics
1 answer:
schepotkina [342]2 years ago
5 0

Answer:

(6 , -1)

Step-by-step explanation:

2x+  y  = 11   ----------------(I)

y = 11 - 2x --------------------(II)

\frac{1}{2}x - 5y = 8

Multiply the whole equation by 2

2*\frac{1}{2}x -2*5y = 2*8

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

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Sara was thinking of a number. Sara halves the number and gets an answer of 38.5. Form an equation with x for the information
lbvjy [14]

Answer:The equation wth x in the information can be written as

1/2 x = 38.5 , Upon solving, the number = 77

Step-by-step explanation:

Let the number Sara was thinking about be x

halving the number to get an answer = 38.5 can be expressed as

 1/2 X = 38.5

The equation with x in the information can be written as

1/2 x = 38.5

solving it becomes

1/2 x= 38.5

x = 38.5 x 2

x=77

The number Sara was thinking about = 77

4 0
3 years ago
What is the measure of Angle z?
denis-greek [22]

Answer:

Angle z makes a 180° angle when added to the angle of 124° in the first image, because they are on the same side of a straight line. Just subtract 124 from 180. =56 For the second picture, angle m will be the same as angle z because of the properties involved.

Step-by-step explanation:

8 0
3 years ago
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
WITCHER [35]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

4 0
3 years ago
1 cup is equal to 8 fluid ounces. How many fluid ounces are in 3 cups, 3 fluid ounces?
Gnesinka [82]

Answer:

If one cup is 8 then 3 cups is 24

Step-by-step explanation:

This can be solved by multiplying:

1*8=8

3*8=24

4 0
3 years ago
Joe has finished 14 of the 30 lessons in his piano book. Lindsey has finished the same percent of lessons from her piano book, b
Ksenya-84 [330]

Answer:

Step-by-step explanation:

14 is 46.67% of thirty so you’d need to find out what 46.67% of 45 is which would be 21

Hope this is right and it helped XD

8 0
3 years ago
Read 2 more answers
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