Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?

option (a) x = 9

Step-by-step explanation:

2/3x = 6

2x = 18

x = 18/2

x = 9.

The solution of the equation c = kny, for y is y = c/kn

The equation is given as

c = kny

Divide both sides of the given equation by k

So, we have

c/k = kny/k

Evaluate the quotient on both sides of the above equation

So, we have

c/k = ny

Divide both sides of the above equation by n

So, we have

c/kn = ny/n

Evaluate the quotient on both sides of the above equation

So, we have

c/kn = y

Rewrite as

y = c/kn

Hence, the solution of the equation c = kny, for y is y = c/kn

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Answer: no, no, no, yes

Step-by-step explanation:

Hello!

Just take each value of "u" and multiply it by 4. If the answer is smaller than 32, it is a solution. If not, it isn't a solution.

Answer:

43,200

Step-by-step explanation:

4.32 x 10∧4

10 x 10 x 10 x 10

4.32 x 10000

43,200

Answer:

2,040329×5

Step-by-step explanation:

you are multiplying 5 more to the number so it will be 5 times larger than the other number

Answer:      (2,040329) x 5 =10.201645

Step-by-step explanation:

they are both equal too so its neither is greater

Answer:(-2,2)

Step-by-step explanation:

Answer: u need to send a pic of the angle

Step-by-step explanation:

Answer:

equation: x + 50 = 180

solution x = 130

Step-by-step explanation:

supplementary: angles that add to 180

50 +  x = 180

180 - 50 = 130

x = 130

Answer:

the equation is x+50=180

solution is 130

Step-by-step explanation:

A straight line is 180 degrees so 180-50=130

So the equation is x+50=180

solution is 130

Answer:

g-10=57

Step-by-step explanation:

'Difference' means to subtract.

Answer:

the angle marked X is 60 degree

Answer:5

Step-by-step explanation:9 ft of red ribbon plus the 6 ft of green ribbon would make 15 feet of ribbon

1ft=3yds

Which mean you would have 5 yards of ribbon.(15 divided by 3=5)

Answer :

1) If x = 6

Substitute 6 for x in the expression.

a) 5x-9

5(6)-9

30-9

21

b) 2x-7

2(6) -7

12-7

5

c) 8x+5

8(6)+5

48+5

53

d) 4(x+3)

4(6+3)

4(9)

36

e) x²-(-4)

6²-(-4)

36+4

40

f) 3x²+1

3(6²)+1

3(36) +1

108+1

109

2) Solve

a) 54 = 3x

Divide both sides by 3.

54/3 = 3x/3

x = 18

b) x-9 = -3

Add 9 to both sides.

x-9+9 = -3+9

x = 6

c) x/7 = 140

Express the 140 over 1 and cross multiply.

x/7 = 140/1

x = 140×7

x = 980

d) x/8 = 72

Express the 72 over 1 and cross multiply.

x/8 =72/1

x = 72×8

x = 576

Answer:

a) [tex]x=\frac{15}{p}[/tex]

b) x=[tex]-3[/tex]

Step-by-step explanation:

First, you distribute the 4 to open the parentheses.

[tex]4px+4=64[/tex]

Subtract 4 to both sides:

[tex]4px=60[/tex]

Divide by 4p on both sides:

[tex]x=\frac{60}{4p}[/tex]

[tex]x=\frac{15}{p}[/tex]

For the second part, substitute the value of p.

[tex]x=\frac{15}{-5}[/tex]

[tex]x=-3[/tex]

The the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4].

The mid-point of a line segment is a point on the line segment which divides it into two equal parts.

Given is a line segment AB whose mid-point is M with a and b being the coordinates of A and B respectively. Further, Q is the midpoint of AM and T is the midpoint of QM.

[Refer to the image attached for clear explanation]

Since M is the mid-point of AB, therefore the coordinates of point M will be = M [(a + b)/2]

Now, Q is the mid-point of AM. Therefore, the coordinates of Q will be =

[(a + b)/2 + a]/2 = Q [(3a + b)/4]

and

T is the mid-point of QM. Therefore, its coordinates will be =

(a + b)/2 + (3a + b)/4 = T [(5a + 3b)/4]

Hence, the the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4]

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The difference between the distances thrown by Oliver and Jason while discus throwing is 6.2 feet.

The correct answer is Option B.

Given data:

Oliver threw the discus 43.82 feet.

Jason threw the discus 50.02 feet.

Oliver threw the discus a distance of 43.82 feet, while Jason's throw reached a distance of 50.02 feet. The difference is calculated by subtracting the shorter distance from the longer distance, resulting in 6.2 feet.

Difference = Longer distance - Shorter distance

Difference = 50.02 feet - 43.82 feet

On simplifying the equation:

Difference = 6.2 feet

This represents the variation in their performances, with Jason achieving a greater distance by 6.2 feet compared to Oliver's throw.

Hence, the difference is 6.2 feet.

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2.7×1012 (i.e.2,732.4) is greater than 1.5×108 (i.e. 162)

Given two numbers

1)2.7×1012

2) 1.5×108

Two numbers can be equal or one is greater than the other or one is less than the other. there will be no other case rather than these three.

1)2.7×1012=2,732.4

2) 1.5×108=162

The value of the 1st number is 2,732.4 and the value of the 2nd number is 162

1st given number is greater than the 2nd number i.e. 2,732.4>162

Therefore,2.7×1012 (i.e.2,732.4) is greater than 1.5×108 (i.e. 162)

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Answer:

Denominator

Step-by-step explanation:

The Denominator is under the fraction bar. The numerator is above the bar

Answer:

Denominator

Step-by-step explanation:

Denominator: The number below the fraction bar in a fraction; it tells the total number of equal parts.

I hope this image helps.

Answer:

8

Step-by-step explanation:

(4/5)/(1/10)

oreja

take the top most number and bottom most number, multiply the two. Then multiply the two middle numbers.

(4*10)/(5*1)

Simplify and you get:

40/5

=8

Answer:

63 and 16,000

Step-by-step explanation:

Answer:

One child weighs 120lbs, and the other weighs 40lbs.

Step-by-step explanation:

Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:

120 + x = 160

Subtract 120 from both sides

x = 40

FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.

Answer: a) 24 b) infini

Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione

Answer:

17

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace170}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace7\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace7\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

Considering the volume of the hemisphere, it is found that she can make 48 cookies.

The volume of an hemisphere of radius r is given as follows:

[tex]V = \frac{2\pi r^3}{3}[/tex]

The radius is half the diameter, hence, for this problem:

r = 11.5/2 = 5.75.

Hence the volume of the bowl in cubic inches is given as follows:

V = 2π(5.75)³/3 = 398.16 cubic inches.

Consider the volume of a single cookie, the number of cookies that she can make is given by:

398.16/8.295 = 48 cookies.

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Answer:

sweefe

Step-by-step explanation:

EFEFEEa

The arithmetic sequence from the collection is I

an = 100 +( n + 1) 2

For an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference 'd'.

The nth term of an arithmetic sequence is expressed as;

[tex]an = a + ( n + 1) d[/tex]

Thus, the arithmetic sequences are given as follows:

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

The nth term is given as;

an = 100 +( n + 1) 2

Thus, the arithmetic sequence from the collection is I

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Answer:

Length = 17 in

Width = 12 in

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 58 = 2(x + 5 + x)

→ 2(2x + 5) = 58

→ 4x = 58 - 10

→ x = 48/4

→ [ x = 12 ]

Then the width will be,

→ W = x = 12 in

Hence, the width is 12 in.

Now the length will be,

→ L = x + 5 = 12 + 5 = 17 in

Therefore, the length is 17 in.

Answer:

Step-by-step explanation:

Answer:

no it is not proportional...

Step-by-step explanation:

5 miles/40 minutes is 1/8

3 miles/27 minutes is 1/9...