a quadrilateral with 50 60 130 and y we have to find the value of y ​

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

[tex]x + y = 160[/tex]

The total earnings is: $1850, so we have:

[tex]5x + 15y = 1850[/tex]

Required

Determine the rate of each

The equations are:

[tex]x + y = 160[/tex] --- (1)

[tex]5x + 15y = 1850[/tex] --- (2)

Divide (2) through by 5

[tex]x + 3y = 370[/tex] --- (3)

Subtract (1) from (3)

[tex]x - x + 3y - y = 370 - 160[/tex]

[tex]2y = 210[/tex]

Divide through by 2

[tex]y = \frac{210}{2}[/tex]

[tex]y = 105[/tex]

Substitute 105 for y in (1)

[tex]x + y = 160[/tex]

Make x the subject

[tex]x = 160 - y[/tex]

Substitute 105 for y

[tex]x = 160 - 105[/tex]

[tex]x = 55[/tex]

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Answer: The angle C measures 120 degrees.

Step-by-step explanation:

For a polygon of n side, the sum of internal angle, in degrees  is given by:

S = (n - 2) x 180

Parallelogram

4 sides, so

S = ( 4 - 2) * 180 = 360

Two pair of equal angles

B and D measure 60

A and C measure x. so

2ₓ + 2 * 60 = 360

2× = 240

× = 240/2

× = 120

The angle C measures 120 degrees

Hope this helps! :)

Answer:

p = 5

Step-by-step explanation:

Given

120 = 24p ( isolate p by dividing both sides by 24 )

5 = p

Answer:

350 miles

Step-by-step explanation:

$45 ×7=315

$395.50-$315=80.50

$80.50÷$0.23=350 miles

Answer:

Yes, each x-value is paired with exactly one y-value (no more than that)

Domain: x = -2, x = 1, x = 4, x = 7

Range: y = -3, y = 5, y = 6

No, the inverse is not a function, the x value of 6 would be paired with two y values (-2 and 7)

Answer:

Can't guess whether you have written 'x' or you have put a sign of multiplication!!

Answer: 2.5 in

Step-by-step explanation:

From the question, we are informed that Mary reduced the size of a painting to a width of 3.3 in even though the original width was 42.9 in wide. This shows that the size of the painting was 3.3/42.9 = 1/13

Therefore, the height of it was originally 32.5 in will be:

= 1/13 × 32.5

= 2.5 in

Therefore, the height is 2.5 in.

Answer:

76%

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

40/8 = 8

8*8

Answer:

$64

Step-by-step explanation:

form a ratio:

5:40

simplify:

1:8

so now desimplify

8:64

Answer:

Might be 0.9821

Answer:

C = 39

Step-by-step explanation:

From the question given above, the following data were obtained:

A = 2x + 108

B = x + 33

C =?

Next, we shall obtain an expression for C. This can be obtained as follow:

A + B + C = 180 (sum of angles in a triangle)

2x + 108 + x + 33 + C = 180

2x + x + 108 + 33 + C = 180

3x + 141 + C = 180

Make C the subject by rearranging

C = 180 – 141 – 3x

C = 39 – 3x

Next, we shall determine the value of x. This can be obtained as follow:

A = 2x + 108

B = x + 33

C = 39 – 3x

A + B + C = 180

2x + 108 + x + 33 + 39 – 3x = 180

2x + x – 3x + 108 + 33 + 39 = 180

3x – 3x + 180 = 180

3x – 3x = 180 – 180

3x – 3x = 0

x(3 – 3) = 0

x(0) = 0

x = 0

Finally, we shall determine C. This can be obtained as follow:

C = 39 – 3x

x = 0

C = 39 – 3(0)

C = 39 – 0

C = 39

Answer:

3

Step-by-step explanation:

Answer:

[tex]12.25\pi\,\,m^2[/tex]

Step-by-step explanation:

Given: Circumference of a circle = [tex]7\pi\,\,m[/tex]

To find: Area of a circle in terms of [tex]\pi[/tex]

Solution:

Let r denotes radius of a circle.

Circumference of a circle = [tex]2\pi r[/tex]

[tex]7\pi=2\pi r\\7=2r[/tex]

Divide both side by [tex]\pi[/tex]

[tex]3.5\,m=r[/tex]

Area of a circle = [tex]\pi r^2[/tex]

Put [tex]r=3.5\,\,m[/tex]

[tex]=\pi (3.5)^2\\=12.25\pi\,\,m^2[/tex]

Answer:

A ≈ 3.9

Step-by-step explanation:

 How to solve

A=πr2

C=2πr

A=C2

4π=72

4·π ≈ 3.8993

Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9

Answer:

V≈278.85

Step-by-step explanation:

AB=s(s﹣a)(s﹣b)(s﹣c)

V=ABh

s=a+b+c

2

Solving forV

V=1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·8·﹣64+2·(6·12)2+2·(6·12)2﹣124+2·(12·12)2﹣124≈278.8548

Answer: 3:45 pm

Step-by-step explanation:

If it takes 30 minutes to get there and 30 minutes to be early. Minus 1 hour from 4:45 pm and you get 3:45 pm

Answer:

3:35 P.M.

Step-by-step explanation:

It is exactly 60 minutes before 4:45 P.M., the latest time they can leave to fulfill all her requirements.

Answer:

£1.50

Step-by-step explanation:

If two pens equal 60p

do 2 x 2 = 4

4 pens equal £1.20

to get 1 pen do 60p divided by 2

which equals 30p

now add £1.20 and 30p

Answer:

POINT GRIND XD

Step-by-step explanation:

Answer:

4,993 milliliters are in 4.593 liters

Step-by-step explanation:

Plz mark as brainliest if correct! Have a nice day!!!

Answer:

4.593 millimeters

Step-by-step explanation:

is the same

Answer:

(-2,-3)

Step-by-step explanation:

appears from graph that is the point of intersection of both lines

9514 1404 393

Answer:

  D.  105 ft²

Step-by-step explanation:

The total surface area is the sum of the base area and the triangular face areas.

Area of base:

  A = s²

  A = (7 ft)² = 49 ft²

Area of 4 triangles:

  A = 4(1/2)bh

  A = 2(7 ft)(4 ft) = 56 ft²

Total surface area:

  base area + triangle area = 49 ft² +56 ft² = 105 ft²

Answer: r ≈ 5.3%

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

3/4 is also 0.75

1/4 = 0.25

0.25*3 = 0.75

Answer: $2,446.08

Step-by-step explanation:

Lets convert the length and width into decimal form so it's easier to understand.

24 1/2= 24.5

12 4/5= 12.8

Now we must multiply to get the area. 24.5x12. 8= 313. 6 ft

Each square inch costs .65 so we must multiply .65 by 12 to see how much a foot costs. 12x0.65= 7.8

Now that we know how much each foot cost lets multiply 313.6 by 7.8. 313.6x 7.8= $2446.08

Answer: 2(x-5)

Step-by-step explanation:

Let's start with the given equation

2x-5

Now let's divide 2 out of the 2x and -10

2(x-5)

Answer:

(5.3 × 10 5)(2.1 × 10‐3) = 4770

Step-by-step explanation:

Write the problem as a mathematical expression.

(5.3×10⋅5)(2.1×10−3)

Multiply 5.3 by 10.

53⋅5(2.1⋅10−3)

Multiply 53by 5.

265(2.1⋅10−3)

Multiply 2.1 by 10.

265(21−3)

Subtract 3 from 21.

265⋅18

Multiply 265 by 18.

4770

Answer:

very bottom

Step-by-step explanation:

the one with "a number or quantity that when multiplied with another produces a given number or expression. "

Answer:

-x + 3

Step-by-step explanation:

(7x+1​)+​(−8x+2​)

7x + -8x + 1 + 2

-x + 3

Answer:

the sum of exterior angle of a polygon is always 360 degree.

therefore,

xº+ 2x°+ 4x°+ 6x°+ 8x°+ 9x° +10x° = 360°

40x = 360°

x = 360/40 = 9

x = 9

The sum of the exterior angles of a polygon is 360 degrees, so the value of x is 9

The exterior angles of the polygon are given as:

xº, 2x°, 4x°, 6x°, 8x°, 9x°  and 10x°

The exterior angles of a polygon add up to 360 degrees.

So, we have:

[tex]x\º+ 2x\°+ 4x\°+ 6x\°+ 8x\°+ 9x\° +10x\° = 360\°[/tex]

Evaluate like terms

[tex]40x\° = 360\°[/tex]

Divide both sides of the equation by 40

[tex]x\° = \frac{360\°}{40}[/tex]

Divide 360 by 40

[tex]x\° = 9[/tex]

Rewrite as:

[tex]x = 9\°[/tex]

Hence, the value of x is 9

Read more about polygons at:

https://brainly.com/question/7079195