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Answer:

bottom lock: 30lb. top lock: 66

Step-by-step explanation:

the x=9 and the y=3 so do order of operations. (9x2)+(3x4), then 18+12=30. 30lb. is the first lock. then do (9x3)+9+30. the second lock is 66.

Answer:

80 ft

Step-by-step explanation:

hey there,

< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.

Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.

We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >

Hope this helped! Feel free to ask anything else.

Answer:

Step-by-step explanation:

a) If x liters are removed from a container with a volume of 50 L, the amount remaining in the container is (50 -x) liters. Of that amount, 40% is acid, so the acid in the container before any more is added will be ...

  0.40 × (50 -x)

The x liters are replaced with 100% acid, so the amount of acid that was added to the container is ...

  1.00 × (x)

Then after the remove/replace operation, the total amount of acid in the container is ...

  a(x) = 0.40(50 -x) +1.00(x)

  a(x) = 20 +0.60x . . . . . liters of acid in the final mixture

__

b) The quantity removed cannot be less than zero, nor can it be more than 50 liters. The useful domain of the function is 0 ≤ x ≤ 50. (liters)

The associated range is 20 ≤ a ≤ 50. (liters)

__

c) As we found in part b, the amount of acid in the final mixture may range from 20 liters to 50 liters. So, the percentage of acid in the final mix will range from 20/50 = 40% to 50/50 = 100%. The mixture could be 50% acid, but is not necessarily.

Answer:

221 cm

Step-by-step explanation:

perimeter = add all sides

P = 56 + 73 + 92

P = 221 cm

Answer:

221 centimeters

Step-by-step explanation:

When you solve perimeter, you add all sides.

92 + 73 = 165

165 + 56 = 221

So, your answer is 221. Hope this helps!

Answer:

4.1 * 7.8 *2.3=73.554

Step-by-step explanation:

4.1

7.8

2.3

73.554

Or use a calculator

Answer:A=15 B=7 c=7 Clare's cousin is7

Step-by-step explanation:

Answer:

7x7 + 49 so 7+7+7+7+7+7+7

Step-by-step explanation:

Answer:

sqrt of 3600 is a perfect square and sqrt of 3600 is a whole number. It is also Rational.

Step-by-step explanation:

We can compute the sqrt of 3600 (60). 60 is a whole number.

As we saw sqrt of 3600 is 60 so it is a perfect square.

60 is also a rational number too.

[tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth.

Now the given number is,

⇒ [tex]\sqrt{3600}[/tex]

So, the square root of 3600 is 60.

Now, since 60 can be expressed in the form of a/b.

Thus [tex]\sqrt{3600}[/tex] is a rational number.

Since, [tex]\sqrt{3600} = [\sqrt{60} ]^2[/tex]

Thus, [tex]\sqrt{3600}[/tex] is perfect square.

Since, [tex]\sqrt{3600} =60[/tex]

Thus it is a whole number.

Therefore we can conclude that [tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

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Answer:

The correct answer is x = -13/5.

Step-by-step explanation:

To solve this problem, we need to bring all of the x terms to one side of the equation and all of the constant terms to the other side of the equation.

First, we should subtract x from both sides to cancel out the positive x on the left side of the equation.  This is modeled below:

x - 13 = 6x

x - x - 13 = 6x - x

- 13 = 5x

Next, we should divide both sides by 5 in order to get the variable x completely isolated on the right side of the equation.

-13/5 = 5x/5

-13/5 = x

Therefore, your answer is x = -13/5.

Hope this helps!

Answer:

Associative property of addition

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.

83+83+83+87 = 336

Divide by the total number of quizzes because they are equally weighted.

336/4 = 84

Her new average score is 84.

Answer:

(-0.5, 0.5)

Step-by-step explanation:

midpoint formula:

[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]

[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]

[(-1) / 2], [(1) / 2]

(-0.5, 0.5)

Answer:

60

Step-by-step explanation:

You would just plug everything in so you get -5(-2-(-5)(-2)) which can be reduced so -5(-12) which is 60

The value of expression x(y-xy) at x=-5 and y=-2 is -40.

An expression is a combination of numbers, symbols ,fraction, indeterminants, coefficients. It is not usually found in equal to form and it is equated to find the value of the expression by putting the value of variables.

We have been given the expression x(y-xy) and we have to find the value at x=-5 and y=-2 and for that we have to just put the value of x and y.

x(y-xy)=-5{-2-(-5*-2)

=-5(-2+10)

=-5*8

=-40

Hence the value of expression x(y-xy) at x=-5 ,y=-2 is -40.

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Answer:

2. 33.25

Step-by-step explanation:

In order of operations you start with the part of the equation that is in parentheses.  So here you would start with 8.7+4.6. Now whenever there is a number just sitting outside the parentheses, you multiply it by the numbers inside of the parentheses.   So in this case, once you've added 8.7 and 4.6, you multiply your answer by 2.5 (which is outside of the parentheses.  Here is the solving process:

2.5(8.7+4.6)

2.5(13.3)

33.25

Answer:

part 1: the french distinguish friends by using un ami for boys. they use une ami for girls, and des amis for friends. they distinguish best friends by saying un meilleur ami for boys, une meillure amie for girls, and des meilleures amies (or des meilleurs amis depending on the gender) for best friends.

part 2: they also use ami for friends (obviously) and connaissance for acquaintances.

Step-by-step explanation:

Answer:

Rational number

Step-by-step explanation:

An integer can not be a fraction or decimal.

A natural number is a counting number and fractions are not counting numbers.

Irrational numbers are never ending and can not be written as a simple fraction.

Answer:

(x, y) → (x+3, y-3)

Step-by-step explanation:

From the graph attached,

Let a point on preimage (in blue) is at A having coordinates (1, 2).

Point A has been translated to A'(in red) which has the coordinates (4, -1).

As we can see every side of the polygon are same in length.That means no change in the size of polygon.

Translation rule that defines the image A' from A is,

A(1, 2) → A'(4, -1)

A(x, y) → A'(x+3, y-3)

Answer:

y= -2x-4

Step-by-step explanation:

[tex] (-2,0) = (x_1,y_1) \\ m = - 2[/tex]

Substitute values into point slope form

[tex]y - y_1 = m(x - x_1) \\ y - 0 = - 2(x - ( - 2)) \\ y - 0 = - 2(x + 2) \\ y - 0 = - 2x - 4[/tex]

[tex]y = - 2x - 4 + 0 \\ y= - 2x - 4[/tex]

Answer:

horizontal flip

Step-by-step explanation:

Answer:

For a vertical flip to happen the reflection must be a horizontal flip.

Step-by-step explanation:

pls make me as brainliest

Answer:

a=s-t/m-r

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

2/3÷1/6

=2/3×6

=2×2

=4

Answer:

4

Step-by-step explanation:

To find the answer we need to do KCF

KCF = Keep Change Flip

2/3 x 6/1 = 12/3

Simplified: 4/1

Answer:

- 1  3/4

Step-by-step explanation:

3/4 + -2 1/2

Get a common denominator of 4

3/4 - 2 1/2 *2/2

3/4 - 2 2/4

Rewriting

Subtracting since the signs are different and take the signs of the larger

2 2/4 - 3/4

Borrow from the 2

1  + 4/4 + 2/4  - 3/4

1 6/4 -3/4

1  3/4

The sign of the larger was negative  ( 2 1/2)

- 1  3/4

Answer:

Step-by-step explanation:

Interquartile R range of an ungrouped data is expressed as R = Q3-Q1 where;

Q3 is the third quartile

Q1 is the first quartile

Given the Car Dealership Number of Cars Sold GMC as 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72

First let us arrange them in ascending order;

72, 80, 81, 84, 92, 92, 94, 95

Q3 = 3(n+1)/4 th observation where n is the total number of cars

Q3 = 3(8+1)/4 = 27/4

Q3 = 6.75th observation

Q3 = 6th obsrvation - 0.75(7th observation - 6th observation)

Q3 = 92-0.75(94-92)

Q3 = 92-0.75(2)

Q3 = 90.5

The 6.75th observation of the data is 90.5

Q1 = (n+1)/4 th observation where n is the total number of cars

Q1 = (8+1)/4 = 9/4

Q1 = 2.25th observation

Q1 = 2nd observation - 0.25(3rd observation - 2nd observation)

Q1 = 80-0.25(81-80)

Q1 = 80-0.25(1)

Q1 = 79.75

Interquartile range = Q3 - Q1

Interquartile range = 90.5 - 79.75

Interquartile range = 10.75

Answer:

the answer is 12.5

Step-by-step explanation: i got it right on edge. :)

Answer: B: 241.93*

Step-by-step explanation:

4•12=48

129.95•48= 6237.60

6237.60 - 5995.67 = 241.93

Answer:

21 because 7x3 would give you the value of x

Step-by-step explanation:

Answer:

d. -9°F -2°F 0°F 5°F

Step-by-step explanation:

-9° is less than -2° which is less than 0° which is less than 5°

Answer:

-1/18

Step-by-step explanation:

2/3n = -12

2 = -12 × 3n

2/-12 = 3n

-1/6 = 3n

or,

-1/6×3 = n

-1/18 = n

CHECK:

2/3n = -12

2/3(-1/18) = -12

2/(-1/6) = -12

2×6/-1 = -12

-12 = -12

n = -18 will make the equation true.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the equation,

2/3n = -12

Multiply both sides by 3/2

(2/3) × (3/2)n = -12(3/2)

n = -6 × 3

n = -18

Hence "n = -18 will make the equation true".

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Answer:

Step-by-step explanation:

This problem bothers on the mensuration of solids, cube

Step one:

The volume of the tanks will hold 60L of water

hence the volume of the tank is 60L

we know that the expression for the

volume of cube = L*L*L

Volume of cube = L^3

60= L^3

L=  √60

L= 7.7459

To the nearest 0.01m we have  L= 7.75 m

Answer:

4

Step-by-step explanation:

$54-$6=$48

$48/4h=12$/h

Answer:

he had to worked 4 hours

Answer:

arc AB = 44.5

Step-by-step explanation:

arc length AB = (Ф /360) * 2πr

Ф = 150°

r = 34/2 = 17 cm

plug in values

arc AB = (150/360) * 2 * π * 17

arc AB = 44.5

Answer:

[tex]\Huge \boxed{\mathrm{44.51 \ centimeters}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Length of an arc formula:

[tex]\displaystyle \frac{\theta }{360} \cdot \pi d[/tex]

The angle formed at the centre is 150 degrees.

The diameter of the circle is 34 centimeters.

[tex]\Longrightarrow \displaystyle \frac{150}{360} \cdot \pi (34)[/tex]

[tex]\Longrightarrow \displaystyle \frac{85}{6} \pi[/tex]

[tex]\Longrightarrow 44.505896...[/tex]

The length of arc AB is 44.51 centimeters approximately.

[tex]\rule[225]{225}{2}[/tex]