What is the area, in square inches, of the trapezoid below?

Answer:

So adult tickets cost £17.00 and child tickets cost £9.00

Step-by-step explanation:

2a+3c=61

2a=61-3c

a=30.5-1.5c

...

3a+5c=96, using a found above we get:

3(30.5-1.5c)+5c=96

91.5-4.5c+5c=96

91.5+0.5c=96

0.5c=4.5

c=9, and since a=30.5-1.5c

a=17

So adult tickets cost £17.00 and child tickets cost £9.00

Answer:

The adult tickets cost £17.00 and child tickets cost £9.00

Step-by-step explanation:

2a + 3c = 61

2a = 61 - 3c

a = 30.5 - 1.5c

3(30.5 - 1.5c) + 5c = 96

91.5 - 4.5c + 5c = 96

91.5 + 0.5c = 96

0.5c = 4.5

c = 9

a = 30.5 - 1.5c

a = 17

The adult tickets cost £17.00 and child tickets cost £9.00

Answer:

i think 3.33

Step-by-step explanation:

r = y/x

x=3, y=30

r= 3/10

r=3.33

Answer:

6? If its a squared machine than it is 6 bc 6 squared is 36.  sorry if it is wrong.

Step-by-step explanation:

Answer: 0.6

Step-by-step explanation:

0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

Nuan is using a faulty barcode scanner that misreads barcodes 5% of the time.

Let B = the number of barcodes Nuan scans until the scanner misreads one.

n=10

p=5%=0.05

Mean=1/p=1/1/20=20

Variance=1-p/p²

=1-1/20/(1/20)²

=19/20×400

=380

Standard deviation=√380=2√95=19.493

p(x=10)=0.0315

p(x<10)=0.3697

p(x≤10)=0.40126

p(x>10)=0.598

=0.6

Hence, 0.6 is the probability that Nuan scans greater than 10 barcodes before the scanner misreads one.

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Answer:

C and D

Step-by-step explanation:

A, B and E are equations because they have an equal sign

C and D are inequalities because they have one of these symbols:

<, >, ≤, ≥

Answer:

St/EF = WR/CD

Step-by-step explanation:

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]

Hence the correct proportion is,

[tex]\dfrac{ST}{EF} =\dfrac{WR}{CD}[/tex]

Thus the option H is the correct option.

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Answer:

4

Step-by-step explanation:

There are 4 numbers to the right of decimals in question.

Pls mark Brainiest :)

y = 4/3x +5 is the equation of the line that passes through the point (-3, 1) and has a slope of 4/3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us use point-slope formula  y-y₁ = m(x-x₁) with point (-3,1) and slope m of 4/3.

Plug in the values

y-1 =4/3(x-(-3))

y-1 = 4/3(x+3)

Apply distributive property

y-1 =4/3x +4

Add 1 on both sides

y = 4/3x +5

Hence, y = 4/3x +5 is the equation of the line that passes through the point (-3, 1) and has a slope of 4/3.

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Answer:

-17

Step-by-step explanation:

................ .......

Answer:

1. 3r - 2

2. 6x - 9

3. -10y + 29

4. 4x - 3

Step-by-step explanation:

i dont know how to explain. Sorry, i just learn about this today. I have the same exactly questions and here is the answer.

Answer:

I think its The Romans built aqueducts to move water. So So SO sorry if its wrong!!

Step-by-step explanation:

hope this helps!!

Love: Deku <3

Answer:

Its C

Step-by-step explanation:

got 100% hope this helps :)

Answer:

610 in

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

To answer this, find the area of each side, then add the values together.

Normally Surface Area = 2 (wl + hl + hw) but in this case, the easiest way to solve this is to divide the shape into 2 different rectangular prisms. Your new equation would be: SA = Sa₁ + Sa₂ or it could be

SA = [2 (wl + hl + hw)] + [2 (wl + hl + hw)]

We'll start by solving the surface area for the larger rectangular prism.

Sa₁ = 2 (wl + hl + hw) substitute w, l, and h

Sa₁ = 2 [(10)(0.5) + (12)(0.5) + (12)(10)]

Sa₁ = 2 (131)

Sa₁ = 262

Now do the same equation for the smaller rectangular prism

Sa₂ = 2 (wl + hl + hw) substitute w, l, and h

Sa₂ = 2 [(10)(0.5) + (4)(0.5) + (4)(10)]

Sa₂ = 2 (47)

Sa₂ = 94

Now add Sa₁ and Sa₂

SA = 262 + 94

SA = 356

Answer: -2d+3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

Answer:

A graph where the y-intercept is 3 and the slope is 1/2.

Step-by-step explanation:

Here is the graph:

See Attachment.

Ace Carlos

Answer:

110°

Step-by-step explanation:

The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines  on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).

Therefore:

∠4 and ∠6 are consecutive interior angles. Hence:

∠4 + ∠6 = 180° (sum of co-interior angles)

∠4 + 70 = 180

∠4 = 180 - 70

∠4 = 110°

Answer:

110°

Step-by-step explanation:

a p e x

Answer:

Step-by-step explanation:

hdhf

Answer:

The original price is $409.5

Step-by-step explanation:

the 2 numbers that you have in this equation are 315 and 30% (or .30)

You want to multiply 315 by .3 to get an answer of 94.5

That's the amount of money that was marked down on the guitar

So you want to add 94.5 to 315 which gives you 409.5

so $409.5 is your answer

Answer:

I do not think that this is a function, but I am not 100% sure

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

Answer:

1.1 as a simplified fraction is 11/10 and 1 repeating as a simplified fraction is 1/9

Step-by-step explanation:

pretty sure its right...

Answer: 10/9 hope that helps :>

Step-by-step explanation:

Answer:

Well the equation you use is y-y1=m(x-x1) so it’s going to be Y-7=-3(x-1)

Step-by-step explanation:

You would plug in your coordinates but did you need to find another coordinate ?

Answer:

Length of the rectangle = 16.5 feet

Step-by-step explanation:

Border length bought = 62.5 feet

Including 5 feet extra

Border length needed = 62.5 feet - 5 feet

= 57.5 feet

Border needed = perimeter of the rectangle = 57.5 feet

Width of the rectangle = 12.25 feet

Length of the rectangle = x feet

Perimeter of a rectangle = 2(Length + width)

57.5 =2(x + 12.25)

57.5 = 2x + 24.5

57.5 - 24.5 = 2x

33 = 2x

x = 33/2

x = 16.5 feet

Length of the rectangle = 16.5 feet

There is 1.41666... (repeating decimal) string left when 1 and 3/4 are cut from a piece measuring 3 and 1 /6 inches.​

Answer:

321hftgkrrgr

Step-by-step explanation:kkkkk

Answer:

24-8n

Step-by-step explanation:

FORMULA: a1 (n-1) d

a1: 1st term

d: difference

16 (n-1) -8

16-8n+8= 24-8n

hope it helps! please mark me brainliest..

thank you..have a good day

Answer:

y = -x + 2

Step-by-step explanation:

[slope-intercept form] y = mx + b

m [slope] = ∆y/∆x = y₂–y₁ / x₂–x₁

b [y-intercept] = (0,b) → x = 0.

If y = 2 when x = 0, b = 2.

Since y decreases by 1 unit everytime x increases by 1 unit

a decrease by 1 unit is represented by -1, and an increase of 1 is represented by 1.

So a decrease of -1 over an increase of 1

is -1/1 = -1 = m.