Write the converse inverse and contrapositive of the statement below

[tex]\large\underline{\sf{Solution-}}[/tex]

Given info:

6885 ÷ 46

Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.

Let's solve!!

[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]

[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]

[tex] \sf{Now,} \\ [/tex]

[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]

[tex] \sf = 46 \times 149 + 31 \\ [/tex]

[tex] \sf = 6854 + 31 \\ [/tex]

[tex] \sf{ = 6885} \\ [/tex]

[tex] \sf = \red{ Dividend}. \\ [/tex]

Answer:

Step-by-step explanation:

Use trigonometry:

Answer:

2.5 hours

Step-by-step explanation:

→ Write the formula

Speed = Distance ÷ Time

→ Find the distance for 3 hours at a speed of 50 mph

Distance = Speed × Time ∴ 3 × 150 = 150

→ Now work out the time

150 ÷ 60 = 2.5 hours

Answer:

-3

Step-by-step explanation:

we take two points to find slope m

lets take ( 1, 4) and ( 2, 1)

then m=(1-4)/(2-1)

m=(-3)/(1)

m= -3

The cost of pen and colored pencils per piece is =10.85

The new total length of both Betty and Beth is =227.2cm

Total number of pens Randy needs to buy = 5

Total number of colored pencils Randy needs to buy= 3

The both items are bought at the same prize = a

The cost of five pens is = 5× a = 5a

The cost of colored pencils is = 3 × a= 5a

The money needed to spend on the items= 86.78

To find the cost of each item which is a ,

5a + 3a = 86.78

(5+3) a= 86.78

8a = 86.78

therefore a = 86.78/8

= 10.85

Therefore the prize of each item is = 10.85. That is option B

Betty's height = 119.2 cm

Beth's height = 105.6cm ( which remained the same)

But Betty's height after 6 months = (6× 0.4) + 119.2

= 2.4 + 119.2

= 121.6 cm

Therefore, the total new height= 121.6 + 105.6

= 227.2cm

That is option A.

Answer:

29/35 cm for each of the 5 sides

Step-by-step explanation:

The perimeter is the length of all the sides added together.  A pentagon has 5 sides.  So you'd need to divide 4 1/7 by 5.

It might be easier to divide 4 by 5 and then divide 1/7 by 5 then add the two numbers together.

4/5 = 0.80 or 8/10

1/7 divided by 5  is written as (1/7) / (5/1)

When you divide a fraction by a fraction, you flip the fraction in the denominator over and multiply the new fractions.

So (1/7) / (5/1)  turns into   1/7  x  1/5 = 1 / 35

Adding 8/10 + 1/35, you first need to find the common denominator which would be 70.

8/10 would turn into 56/70

1/35 would turn into 2/70

Add them together now and you get 58 / 70.  This can be reduced down to

29 / 35.

Before doing the question let's recall that their are two types of shapes mostly , irregular and regular . Regular shapes have all their sides equal while irregular doesn't have. And here The given shape is pentagon so it will have 5 sides . Also , it's perimeter is given i.e sum of it's all sides , If we assume it's one side to be s then perimeter will be (s+s+s+s+s) more conveniently 5s . Now , heading to our question ,

[tex]{:\implies \quad \sf 5s=4\dfrac{1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{4\times 7+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{28+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{29}{7}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{29}{7\times 5}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Each\:\: Side=\dfrac{29}{35}\:\: cm}}}[/tex]

The required area of the figure is 100.75 units².

Area of an object shows that how much space it can cover.

Given is figure, made by scooping out a semicircle from a rectangle of length 14 units and width 10 units,

We need to find the area of the figure,

To find the same, we will find the area of whole rectangle and then subtract the area of the semicircle from it,

Area of a rectangle = length × width = 14 × 10 = 140 units²

Area of a semicircle = π × radius² / 2

Here the diameter of the semicircle will be the width of the rectangle,

So,

Diameter = 10

Radius = 5

Area of a semicircle = 3.14 × 25/2 = 39.25 units²

Now,

The area of the figure = 140 - 39.25 = 100.75 units²

Hence, the required area of the figure is 100.75 units².

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Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)

Step-by-step explanation:

1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.

Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)

Answer:

You will put one mark in front of 5 and the other in front of 10. For question a the answer is 11 is to the right of 6. For question B the correct answer is that 11 is greater then 6 or >

Step-by-step explanation:

Answer: 22/3 I think

sorry if it’s wrong

Answer:

7 1/3

i hope this helps you can do it

Answer:

x = -2

Step-by-step explanation:

Answer:

i think the answer is 38 because u first answer 4x5 and then 7x7 and then 3x5 and hlthen u subtract 20 from 15 and then u add 5 and 42 and then when u get ur answer of 47 u subtract 9

Answer:

3. 10

4. 6

5. 81,000

6. 36

7. x=-0.5

Step-by-step explanation:

3. 25-3(5)

4. 3 + 3

5. 81 x 1000

6. 4 x 9

Answer:

Step-by-step explanation:

(625) power of 0.16 × (625) power of 0.09 ​

Answer:

x = 15 inches

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\b^{2} = c^{2} - a^{2} \\b^{2} = (25 inches)^{2} - (40 inces/2)^{2} = \sqrt{225} = 15 inches[/tex]

Answer:

There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.

Answer:

1.501877347

Step-by-step explanation:

estamate or whaever u need to do

Step-by-step explanation:

(a) f (g (- 5)

→ f (-5)g

= - 5fg

(b) (g o f ) (4)

Move 4 left to the g o f

= 4gof

Answer:-5fg, and 20g

Step-by-step explanation:

I’m only in eighth grade but I’ma try

Re-order terms so constants are on the left

((−5))

(−5)

Eliminate redundant parentheses

there are none

Re-order terms so constants are on the left

-5fg

Re-order terms so constants are on the left

(5G)(4)

Eliminate redundant parentheses

5g(4)

Multiply the numbers

20g

Answer:

Width=3ft

Length=11ft

Answer:

c and d

Step-by-step explanation:

i took the test those are the correct answers

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

Answer:

[tex]y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}[/tex]

Answer:

y=-2x+12

Step-by-step explanation:

Volume = Length × Breadth × Height

So you are absolutely right, it is 252 yards squared

Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44

Probability that wheel stops on $5:

P(stops on $5) = 7/54 =

Hence, probability of not winning = 1 - 7/54 = 47/54

X :____ - 2 _____ 10

P(X) : _ 47/54 ___ 7/54

Expectation or Expected value :

E(X) = (-2 × 7/54) + (10 × 47/54)

E(X) = $8.44

Therefore, the player's expectation is $8.44

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Answer:

46,145

Step-by-step explanation:

26x1760= 45,760 + 385= 46,145

The total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

Length measurement is the measurement of the size of an object. The units of length measurement are meter, feet, yards etc.

The length of a marathon race is 26 miles 385 yards. As there are total 1760 yards in one mile. Thus, the total number of yards in 26 miles is,

[tex]26\times1760=45760[/tex]

Now, he races for 385 yards along with 26 miles. Thus, the length of marathon is,

[tex]45760+385=46145\rm\; yards[/tex]

Thus, the total length of the marathon race in yards when the length of a marathon race is 26 miles 385 yards, is 46145 yards.

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