Given Trapezoid JOKE with m

Answer:

See below.

Step-by-step explanation:

a) y = 2x + 3 and y = -2x + 11

 One solution.  They are straight lines with different slopes, so they will intersect at some point.  

b) y = x + 2 and -2x + 2y = 4

  -2x + 2y = 4 can be rearranged to 2y = 2x +4 and then y = x + 4

    Both lines have the same slope, 1.  They are parallel and will never meet.  No solutions.

c) y = x - 3 and y = x + 6

 This has the same answer as c.  Parallel lines (both have slopes of 1.).  They will never meet:  no solutions.

d) y = 7 and y =3x-5

One solution.  Straight lines with different slopes (3 and 0) so they will cross at one point.  [At (4,7)]

e) y = -4x and y = -4x - 1

Same slopes.  There are no solutions.

Answer:

If you don't add decimals a 63.

Step-by-step explanation:

because 55 out of 87 correct on a test would be a 63%

Answer:

use Pythagoras theorem by dividing the plane into two triangles one is triangel ABD and triangle DBC.

Answer:

5-4x

Step-by-step explanation:

8 - 4x - 3

5 - 4x

b.

Bedroom area

Lenght = 5 squares

= 5 × 1/4 inchi

= 5/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 5/4 × 1 inchi

= 5/4 inchi

Living room

Lenght = 7 squares

= 7 × 1/4 inchi

= 7/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 7/4 × 1 inchi

= 7/4 inchi

Total Area

Bedroom area + Living room area

= 5/4 + 7/4

= (5+7)/4 inchi

= 12/4 inchi

= 3 inchi

1 square yard = 1296 square inches

so 1 square inches = 1/1296 square yard

3 inchi = 3×1/1296

= 3/1296

= 1/432

Cost = 1/432 × $18

= $1/24

It would cost $1/24 to carpet the bedroom and living room.

Step-by-step Explanation:

First find out what is the price after 30% off.

250 · 0.3 = 75

250 - 75 = 175

Then find the tax and add it on. Remember to calculate the tax AFTER  the discount.

175 · 0.06 = 10.50

175 + 10.50 = 185.50

Rs. 92.59 is each article's CP

Step-by-step Explanation:-

As per conditions given,

[tex]1500 \div 15 \div (1 + 8[/tex]%)

[tex] = > 100 \div 1.08[/tex]

[tex] = > approx. \: 92.59[/tex]

Hence, the CP of each article is Rs. 92.59

Answer:

C

Step-by-step explanation:

You just need to convert some of the mixed numbers so that they have a denominator (of the fraction part) as 8:

10 4/8 = 10 1/2

10 6/8 = 10 3/4

11 2/8 = 11 1/4

Answer:

6 bags of cucumber

4 bags of spinach

Step-by-step explanation:

let s = number of bags of spinach

let c = number of bags of cucumber

If the owner washed 10 bags of vegetables in total, then

s + c = 10

The spinach came in 10kg bags and the cucumbers came in 9kg bags, and the owner washing 94kg of veg in total:

10s + 9c = 94

Rewrite s + c = 10 to make s the subject, substitute it into 10s + 9c = 94, then solve for c:

s + c = 10

⇒  s = 10 - c

⇒ 10(10 - c) + 9c = 94

⇒ 100 - 10c + 9c = 94

⇒ -c = -6

⇒ c = 6

Substitute c=6 into s + c = 10 and solve for s:

s + 6 = 10

⇒ s = 4

Answer:

y = 10.5

Step-by-step explanation:

Δ MOP and Δ MNQ are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{OP}{NQ}[/tex] = [tex]\frac{MO}{MN}[/tex] ( substitute values )

[tex]\frac{y}{7}[/tex] = [tex]\frac{8+4}{8}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8y = 84 ( divide both sides by 8 )

y = 10.5

Answer:

Club 1: 16 would be 120

Club 2: 15 would be 120

Answer:

B

Step-by-step explanation:

using the formula 0.75 time the 160 is 120. so s squared divided by 30.25 should equal approximately 120

going through the answers and dividing them by 30.25 is the easiest way to do so. 60 squared is 3600 divided by 30.25 is 119.008

Answer:

34 = 34/1

Step-by-step explanation:

17/6 x 12/1 =  34

I am not entirely sure but if I am understanding what your trying to ask the answer is 34.

Answer:

x = 15°

Step-by-step explanation:

If you use Vertical Angles, you can move the two algebraic expressions next to each other and totaling 90° (because m and n are perpendicular)

x + 21 + 3x + 9 = 90°

combine like terms.

4x + 30 = 90

subtract 30 from both sides.

4x = 60

divide by 4.

x = 60/4

x = 15

Answer:

equation;

[tex](x + 4) {}^{2} + (y - 2) {}^{2} = 27[/tex]

Center (-4,2)

Radius is

[tex]3 \sqrt{3} [/tex]

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

Where (h,k) is center

r is the radius

So first we group like Terms together

[tex] {x}^{2} + 8x + {y}^{2} - 4y - 7 = 0[/tex]

Add 7 to both sides

[tex] {x}^{2} + 8x + {y}^{2} - 4y = 7[/tex]

[tex]( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7[/tex]

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

[tex] (\frac{8}{2} ) {}^{2} = 16[/tex]

and

[tex]( - \frac{4}{2} ) {}^{2} = 4[/tex]

so we have

[tex] {x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4[/tex]

[tex] {x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27[/tex]

[tex](x + 4) {}^{2} + (y - 2) {}^{2} = 27[/tex]

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

[tex] \sqrt{27} = 3 \sqrt{3} [/tex]

So the radius is 3 times sqr root of 3.

Answer:

99mm^2

Step-by-step explanation:

Area of a rectangle: A = l*w

Length: 11mm

Width: 9mm

A = 11 * 9

A = 99 mm^2

Hope this helps!

well, let's take a look at the graph hmmmm as "x" is moving further towards the right, the line is going down, or namely "y" is lessening and lessening, which is another way to say that "y" is inversely proportional to "x".

well, we know a few points on the line hmmm let's use say hmm (10 , 8) to get the constant of proportionality.  Any point will do btw, we're just using this one.

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"H" varies inversely with "w"}}{H=\cfrac{k}{w}}\qquad \textit{we know that} \begin{cases} H=8\\ w=10 \end{cases} \\\\\\ 8=\cfrac{k}{10}\implies \boxed{80=k}[/tex]

Answer:

25/10 ,30/12,10/4

Step-by-step explanation:

1) 5/2*5/5

2)5/2*6/6

3)5/2*2/2

Answer:

I believe it should be

4 : 1 : 200

Step-by-step explanation:

Answer: True

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

True

Step-by-step explanation:

Using the vertical line test since it only passes through the graph once it is a function

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

Explanation:

The number [tex]7 \times 10^{10}[/tex] is the number 7 followed by 10 zeros

[tex]7 \times 10^{10} =[/tex] 70,000,000,000 = 70 billion

According to statista.com, there are roughly 229 million drivers in the US (based on a 2019 survey).

Divide the two amounts to get:

(70 billion)/(229 million) = (70*1000 million)/(229 million) = 305.677 approximately

This indicates that each driver uses about 306 gallons of gas per day.

This value is way too high.

Therefore, the initial claim does not make sense.

------------

Upon further research, the site eia.gov states that Americans use about 337 million gallons of gasoline per day (not 70 billion).

Notice how (337 million)/(229 million) = 1.472 approximately which is far more realistic. It makes more sense to have any given driver use somewhere between 1 or 2 gallons of gas per day. Of course, all of this depends on the person's location from home to work, the amount of traffic, etc.

Step-by-step explanation:

( 12 × y ) + 11

The product of 12 & y = 12 × y

Increasing = adding = (12×y) + 11

12y + 11.

Answer:

Sarah's fish tank

Step-by-step explanation:

Nick needs area - the space covering a flat surface

Min needs perimeter - the distance around something

Sarah needs volume - the space inside something

Answer:

A: Experiment

B: The variables are the vaccine and placebo. The kids are categorical.

C: I can't fill out the table if I dont see one... sorry!! Good luck!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the area of the rectangle. A = length * width

Find the area of each circle.   A = π*radius*radius

Subtract the area of each circle from the area of the rectangle.

A = length * width

A = (3+6+9+12) * 18

A = 30 * 18

A = 540 square inches

Bottom circle

A = π * radius * radius.  (radius is 1/2 of the diameter)

A = 3.14 * 6 * 6

A = 133.04 square inches

Middle circle

A = π * radius * radius

A = 3.14 * 4.5 * 4.5

A = 63.59 square inches

Top circle

A = π * radius * radius

A = 3.14 * 3 * 3

A = 28.26 square inches

Subtract the circles from the rectangle.

540 - 133.04 - 63.59 - 28.26 = 315.11 square inches is the area of the shaded part.

Answer:

He overspent 8.61% as a percentage of his monthly salary.

Step-by-step explanation:

Answer:

8.61% (2 dp)

Step-by-step explanation:

Salary = 1850

Food = 690

Other = 940

Rent = 20.5% = 20.5/100 = 0.205

Therefore, 20.5% of the salary = 0.205 x 1850 = 379.25

Total spent = 690 + 940 + 379.25 = 2009.25

Percent change = [ (difference between initial and final value) ÷ initial value] x 100

=[(2009.25 - 1850) ÷ 1850] x 100 = 8.61% (2 dp)

Answer:

.25

Step-by-step explanation:

Answer:

if there are 4 people and she pours 1/4 of a 1-liter coke bottle equally, it means that she gave each member 25% or 0.25 of a liter or bottle of coke