1
1 unit
Area of the rectangle:
Area of the triangle:
Area of the figure:
O square
units
square units
square units

Answer:

84sq. in

Step-by-step explanation:

Area of the rectangle  = length * width

Given

Length = 7in

Width = 12in

Area of the rectangle = 7in * 12in

Area of the rectangle = 84sq. in

Hence the area of the rectangle is 84sq. in

Answer:

Step-by-step explanation:

Total outcomes:

Outcomes with same numbers on both dice:

Outcomes with different numbers on both dice:

Probability of different numbers on both dice:

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

Answer:

[tex]\frac{72}{74}[/tex] or [tex]\frac{36}{37}[/tex]

Hope that this helps!

Answer: 7 x + 6 = 6 x minus 3

Step-by-step explanation:

Answer:7x+6=6x-3

Step-by-step explanation:

[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]

Answer:

Courtney is travelling at 9mph

Christy is travelling at 18mph

Step-by-step explanation:

Courtney's speed = x

Christy's speed = y

Christy travels 9 mph faster than Courtney: x+9=y

Distance = speed * time

Courtney's distance after 7 hours = 7x

Christy's distance after 7 hours = 7y

After 7 hours, they're 189 miles apart:

7x+7y=189

x+y=27

x+y=27

x+x+9=27

2x=18

x=9

y=x+9

y=9+9

y=18

I believe that the answer is $426,960.

I hope this helps!

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price=  $47,000  

Salvage value= $2,900  

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1                 8820                                8820                  38180

2                 8820                                17640                  29360

3                 8820                                26460                  20540

4                 8820                                      35280                 11720

5                 8820                                 44100                    2900

Answer:

I think B and D

Step-by-step explanation:

I’m not 100% sure tho

Answer:

3

Step-by-step explanation:

36-27 = 9

[tex]\sqrt{9} = 3[/tex]

Answer:

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

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

let the base=12x

and height=5x

(12x)²+(5x)²=37.7²

144x²+25x²=37.7²

169x²=37.7²

(13x)²=37.7²

13x=37.7

x=37.7/13=2.9

base=12×2.9=34.8 ft

height=5×2.9=14.5 ft

Answer:

this isn't an answer but i have to say that 'm laughing at the fact that your telling someone to kts

Step-by-step explanation:

Answer:

The right answer to the question is b

Answer:

B [tex]x \leq 1[/tex]

Step-by-step explanation:

Isolate the x.

[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]

The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.

Answer:cdjbskbbN

Step-by-step explanation:2 2/4

Answer:

$7.50

Step-by-step explanation:

10 - 2.50 = 7.50

Step-by-step explanation:

[tex]U _{ {12}^{th} } = a {r}^{(n - 1)} \\ = 5 \times {5}^{12 - 1} \\ = 244140625 \\ {12}^{th} \: term \: is \: 244140625[/tex]

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

What do we see in triangle -- adj and hyp

cosine since it is SOH CAH TOA

cos(14)/1 =x/480

Answer = 465.74 the real rounding is 466

Answer: $ 1 710

Step-by-step explanation:

Area of parallelogram = base x height = 27 x 20 = 540ft2

Area of triagne = 1/2 x base x height = 1/2 x 3 x 20 = 30ft2

total = 540 + 30 = 570ft2

570 ft2 x $3 = $1 710

Answer: 5 hours will take two days.

Step-by-step explanation:

People dont matter here. but what does is hours. 2 hrs a day = 5 days

3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.

When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.

2,5

3,4

4,3

5,2

Answer:

B) Vertex (1,2), maximum

Step-by-step explanation:

First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.

The maximum is the point that has the greatest y value. We can see that the greatest y value is at [tex]y=2[/tex]. Going down two units from that spot, we can see that the x value is at [tex]x=1[/tex]. We can plug those into the vertex form, [tex](x,y)[/tex]. By plugging in we get the point [tex](1,2)[/tex].

Answer:

36x

Step-by-step explanation:

I believe this should be the answer. I hope it helps.

Your answer would be C (8,15,17) and E (15,20,15) or is it 25?

Step-by-step explanation:

:)

Answer:

if you help me ill help you

Step-by-step explanation:

Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

Answer:

1

Step-by-step explanation:

To find this, you simply need input points.

The given equation is y=-2/3x +{}. You can plug in the given point, (0,1). This would make the equation 1 = -2/3·0 +{}. To solve this, you simplify the equation. You then get 1 = {}. Hence, The missing number is 1.

Answer:

125 degrees for 540 degrees total

Step-by-step explanation:

Answer:

125° is the missing angle.

Step-by-step explanation:

Sum of all angles in a quadrilateral is 360°.

180°+55°+X°= 360°

235° + x = 360°

x = 360°-235°= 125°

x = 125°

Step-by-step explanation:

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

Answer:

46% is the percent of the bags of baby carrots that have between 90 and 100 carrots

Step-by-step explanation:

The baby carrot is normally distributed.  

z = (x - µ)/σ

x is equal to number of baby carrots  

µ = mean

σ = standard deviation

Substituting the given values, we get -

90 ≤ x ≤ 100

z = (90 - 94)/8.2 = - 0.49

 For z value of -0.49, the probability is 0.31

For x = 100

z = (100 - 94)/8.2 = 0.73

For z value of 0.73, the probability is 0.77

P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46

The percent of the bags of baby carrots having carrots between 90 and 100 carrots is  0.46 × 100 = 46%

Answer:

-9

Step-by-step explanation:

yu subtract 21 from 30 and and just add a negative before the answer