A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22 kilometers. Next it goes west for 50 kilometers. Finally, it travels south for a certain number of kilometers. At the end of its journey it is back at its original location. How many kilometers did it travel in the southward direction?

Answer:

Gail spent $4 and Jackie spent $7

Step-by-step explanation:

Let j = Jackie

Let g - Gail

j = 2g -1                  j + g = 11

substitute 2g - 1 for j in the second equation

j + g = 11

2g - 1 +g =11  Combine the g's

3g -1 = 11   Add 1 to both sides of the equation

3g = 12  Divide both sides by 3

g = 4

Plug 4 in for g to find j

j = 2g -1

j = 2(4) -1

j = 8 -1

j = 7

Answer:

350

Step-by-step explanation:

Answer:

70 days

Step-by-step explanation:

Given that,

→ fresh fruit to last 10 days

→ fresh vegetables for 7 days

→ dried insects for 5 days

Then in how many days will they order all three items on the same day?

Then the LCM of 10, 7 & 5 is,

→ 2 × 5 × 7

→ 10 × 7 = 70

Hence, the answer is 70 days.

The value of 'x' for the given expression is calculated as (x = 48).

A linear equation in one variable is an equation that has only one solution.

Now, for the given expression;

(3x-5) + (x+1) = 180

Open the brackets.

3x-5 + x+1 = 180

Add the similar parts;

4x - 4 = 180

Further simplifying;

4x = 180 + 4

4x = 184

x = 184/4

x = 48

Therefore, the value of 'x' is estimated as 48.

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Answer: 164 degrees

Step-by-step explanation:

IHG=JHG+IHJ

19x-7=84+7x+17

19x-7=101+7x

12x-7=101

12x=108

x=9

IHG=19x-7

IHG=19(9)-7

IHG=171-7

IHG=164 degrees

Answer:

Answer is 137.3

Step-by-step explanation:

Since there is one significant digit after decimal, i.e. 2

Therefore, the answer should be rounded off to the nearest tenths digit.

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

Answer:

It would be 1333/1000.

Answer:

89.50 = 7.75 + 27.25p

subtract 7.75 from both sides

89.50 - 7.75 = 27.25p

81.75 = 27.25p

divide both sides by 27.25

p = 81.75 / 27.25

p = 3

Step-by-step explanation:

The number of people who can go to the amusement park is 3 people

Answer: p=3

Hence, the Linear Equation in two variables is used to determine the total number of people who go to the park is - y=7.75+27.25p

Step-by-step explanation:

89.50=7.75+27.25p

89.50-7.75+27.25p

81.75=27.25

81.75/27.25

p=3

x=62 bec 180-118=62.

Step-by-step explanation:

180=118-x

180-118=x

x=62

Answer:

Step-by-step explanation:

not sure 6

Answer:

94.8

Step-by-step explanation:

supplementary angle = 180°

180 - 85.2 = 94.8

Answer: 47.4 degrees

Step-by-step explanation:

A=measure of angle

S=Angle A's supplementary angle

Supplementary Angle=180 degrees

A+85.2=S

A+S=180

A+A+85.2=180

2A+85.2=180.0

2A=94.8

A=47.4 degrees

y= 1/16 is the solution of the equation  where y is [tex]e^{-2ln4}[/tex]

The expression is given to be [tex]e^{-2ln4}[/tex]

The formula is given to be [tex]e^{lnx} =x\\[/tex]

also it is given that ln[tex]e^{x}[/tex]=x

Now to find and evaluate [tex]e^{-2ln4}[/tex]

let y=[tex]e^{-2ln4}[/tex]

taking ln both sides,

ln y = ln[tex]e^{-2ln4}[/tex]

ln y= -2 ln4

ln y= ln 4^-2

Removing ln from both sides,

y = 4^-2

y=1/16

Thus , y= 1/16 is the solution of the equation

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The area of the rectangular garden in terms of a function in x is given by 44x - x²sq. ft.

What is the area of a rectangle?

A rectangle is a closed geometric figure with opposite sides equal to each other. The area of this rectangle is given by the product of its length and width.

Calculating the area of a rectangular garden in terms of a function in x

Let us consider a variable x that denotes the length of a rectangular garden

Given perimeter of a rectangular garden is 88 ft with y as the width of a rectangular garden

Perimeter = 2×(length + breadth)

88 = 2(x + y)

44 = x + y

y = 44 - x

Area of a rectangular garden = xy

= x(44 - x)

= 44x - x² sq. ft

Hence, the area of a rectangular garden in terms of a function in x is given by 44x - x² sq. ft.

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Answer:

so xtime sy ,fe fwvnvf nfdv bregbrrsikrwnknrhvnk vnf vknvns;;abjwrjkgwnkgwjknnnxnfnfsvmsr

By solving a system of equations, we can see that the adult ticket costs $10.

Let's define the two variables:

With the given information, we can write a system of equations:

1*x + 6*y = $52

1*x + 8*y = $66

By taking the difference between the two equations we get:

(1*x + 8*y) - (1*x + 6*y) = $66 - $52

2y = $14

y = $14/2 = $7

Now that we know the value of y, we can find the value of x.

Replacing the value of y in the first equation we get:

1*x + 6*$7 = $52

x = $52 - 6*$7 = $10

With this, we know that the adult ticket costs $10.

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[tex]\implies[/tex]The answer is Adjacent and Complementary.

Answer:

The answer is commutitve

Answer:

1/6

Step-by-step explanation:

30+20= 50

200+100= 300

you divide 50÷300 and you get 1/6

Answer:

To write this is true scientific notation the decimal point needs to be moved 1 place to the right so the exponent for the 10s term will be negative:

0.514=5.14×10

−1

Answer:5.14

Step-by-step explanation:

Answer:

A? maybe because its (5 +6)+7=5

hope it will help

Answer:

The answer is A.

Step-by-step explanation:

a+b=c+d

Given the expression,

11 + 7 = 5 + 13, where a= 11

b= 7

c= 5

d= 13

From the options, taking option A:

(5 + 6) + 7 = 5 + (6 + 7)

5 + 6= 11= a

7 = 7= b

5 = 5= c

6 + 7 = 13= d

Therefore from the comparison above, we can see that option A is the best form of expression that correctly interpretes the given expression

Answer:

its 100 ez bro

Step-by-step explanation:

Answer: 100 balloons

Step-by-step explanation:

because it is 100 balloons

The next score should by less than 84 to have an average below 88.

The term average is the sum of all the numbers divided by the total number of values in the set.

Mathematically,

Average = Sum of the observations/number of observations

Now given that,

Scores = 92, 88, 85, 90, and 89

Rounds = 5

Let x be the score the score for next round or sixth round.

So, According to question,

Average < 88

So, Average = Sum of the scores/number of rounds

⇒  Average = (92 + 88 + 85 + 90 + 89 + x)/6

⇒  Average = (444 + x)/6

⇒ (444 + x)/6 < 88

⇒ (444 + x) < 528

⇒ x < 528 - 444

⇒ x < 84

Thus, the next score should by less than 84 to have an average below 88.

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The given inequality  is never true which means it has no solutions. If an inequality has no actual solution, then there aren't any numbers that might be used to solve it and make the statement true. An inequality can be made true by substituting any real number into it if the solution to the inequality is all real numbers.

Given the expression is 4x ₋ 8 > 1 ₊ 4(x₊3)

first apply the distributive property.

4x ₋ 8 > 1 ₊ 4x ₊ 12

now combine the like terms.

4x ₋ 8 > 4x ₊ 13

Variables should be moved to the equation's left side.

4x ₋ 4x > 13 ₊ 8

combine like terms.

0 > 13 ₊ 8

calculate the sum.

0>21

This is the solution of inequality which has no solutions.

Hence the inequality of the expression is never true.

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Answer: See attached

Step-by-step explanation:

Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

In this problem we must determine the total amount of snacks used by Landon in a period of a week, which is found by the summing fractions. Then, we must solve the following linear equation:

(3 / 5) · x = x - 25 / 35 - 1 / 7

(3 / 5) · x = x - 25 / 35 - 5 / 35

(3 / 5) · x = x - 20 / 35

x - (3 / 5) · x = 20 / 35

(2 / 5) · x = 20 / 35

7 · x = 10

x = 10 / 7

And the amount of snack used is determined by the following subtraction:

z = (2 / 5) · (10 / 7)

z = 20 /35

z = 4 / 7

Landon used an amount of 4 / 7 of a pound of snacks for his family of the week.

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The Actual area of the dining room is: 252 square feet.

Given that the area of the house on a blue print = 7 square inches.

Scale of the blue print = 1 inch : 6 feet.

Therefore, we would have the following proportion:

Area on blue print/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

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Answer: Actual area (252 square feet).

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.