absolute value of -5 in I -5 I

Step-by-step explanation:

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Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).

The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:

1/3(x)+1/4(x+1)=9.

Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...

1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).

Now the equation is 4/12(x)+3/12(x+1)=9

Multiply both sides by 12 so the denominators are gone:

[12•]4/12x+3/12(x+1)=9•12

4x+3(x+1)=108

Using distribution, it's now 4x+3x+3=108. Continuing on with the math...

7x+3=108

7x=105

x=15

We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?

5+4=9 and 9=9 so YES! The numbers are 15 and 16

Step-by-step explanation:

(5/4_3/4)×(_2/27)÷_4

5_3/4

1/4×_2/27÷_4

1/54÷4

=0.004629

Answer:

a) $670

b) $6600

Step-by-step explanation:

a) The decrease by 9.4% means that the price of 1 kg of silver is 90.6% of the original price

0.906P = 607, P is the price of 1 kg of silver on 1st January 2015

P = 607/0.906 = 669.9779249 ≈ $670

b) The decrease of the price was $1320, which is 20%.

0.80P = P - 1320, P is the price of 1 tonne of copper on 1st January 2010

-0.20P = 1320

P = 1320/(-0.20) = $6600

Answer:

D. 7.25

Step-by-step explanation:

9.50-2.25=x

9.50-2.25= 7.25

The weight gained by cricket in between the time she was a puppy and her 1-year checkup is 7.25 pounds. Hence, option D is correct.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data provide by the question,

Initial weight of puppy = 9/4 = 2.25 pounds.

After 1-year, weight = 9.5 pounds.

Weight gained by the puppy = 9.5 - 2.25 = 7.25

Therefore, weight gained by the puppy is 7.25 Pounds.

To know more about arithmetic operations:

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Where's your question?

Answer:

74 meters

Step-by-step explanation:

Answer:

Solve for y by simplifying both sides of the equation, then isolating the variable.

y = x^2/2^z - w/2z

Step-by-step explanation:

Answer:

w=x^2-2yz

x^2-w=2yz

x^2-w=y

2z

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Varies

Step-by-step explanation:

There's a 1 / 6 chance each time.

Step-by-step explanation:

Sum of two interior Angles equals to exterior angle . So ,

1 = 65 + 47 = 112°

And , angle sum property of a ∆ is 180° . Hence ,

2 = 180 - 65 - 68 = 47°

Step-by-step explanation:

That's the answer! hope it helped!

Answer:

Red Gold

Step-by-step explanation:

Assuming you mean 9/40

Red gold = 25%

Pink Gold = .2 which is 20%

Rose gold is [tex]\frac{9}{40}[/tex] = .225 which is 22.5%

Answer:

  132 cm²

Step-by-step explanation:

The area of the two triangular ends is ...

  A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles

The area of the three rectangular faces is ...

  A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)

  = (4 cm +3 cm +5 cm)(10 cm) = 120 cm²

Then the total surface area is ...

  triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²

Answer:

The length of the missing side is 7.5

Step-by-step explanation:

let the missing side be x

[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]

98.01 = 42.25 + x^2

x^2 = 98.01 - 42.25

x^2 = 55.76

[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]

x = 7.5 or 7.47

Answer:

If you look at the "Standard Form" column, you can take any number from an upper row and divide it by 4 to get the number in the row below it.

For example: You can take 256 and divide it by 4, and that will give you 64. Like wise, if you take 64 and divide it by 4 you will get 16.

This tells us that every time you add 4 to the equation, your answer will keep increasing 4 times.

Step-by-step explanation:

Hope that makes sense :)

If you still don't get it, please let me know.

Answer:

$2408.

Step-by-step explanation:

28 * 86

Answer: 1844 because you just simply add 462+526+856=1844.

Answer:

x-intercept: (-2, 0)

y-intercept: (0, -5)

Step-by-step explanation:

Since the options were not included in the original post, I will be providing the solutions (coordinates of the intercepts).

Given the linear equation in standard form, 10x + 4y = -20, where we must determine the x- and y-intercepts of the graph:

The x-intercept, in the form (a, 0),  is the point on the graph where it crosses the x-axis. Thus, it is the value of x when its corresponding y-coordinate is: y = 0.

In order to find the x-intercept, set y = 0 and solve for the value of x:

10x + 4y = -20

10x + 4(0) = -20

10x + 0 = -20

10x = -20

Divide both sides by 10 to solve for x:

[tex]\displaytext\mathsf{\frac{10x}{10}\:=\:\frac{-20}{\:10}}[/tex]

x = -2

Hence, the x-intercept is (-2, 0).

The y-intercept, in the form (0, b ),  is the point on the graph where it crosses the y-axis. Thus, it is the value of y when its corresponding x-coordinate is: x = 0.

In order to find the y-intercept, set x = 0 and solve for the value of y:

10x + 4y = -20

10(0) + 4y = -20

0 + 4y = -20

Divide both sides by 4 to solve for y:

[tex]\displaytext\mathsf{\frac{4y}{4}\:=\:\frac{-20}{\:4}}[/tex]

y = -5

Hence, the y-intercept is (0, -5).

Answer:

your answer would be 10x-45

Step-by-step explanation:

Answer:

JKN and ONK

Step-by-step explanation:

Hope this helps :)

Answer:

W = 8.5 units; L = 30.5 units

Step-by-step explanation:

The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively.  Here, L = 3W + 5.  Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W  =  2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units  

Answer:

[tex]f(x) = 3x - 4 \\ g(x) = - 2x + 7 \\ g(f(x)) = - 2(3x - 4) + 7 \\ g(f(x)) = - 6x + 8 + 7 \\ g(f(x)) = -6 x + 15 \\ g(f( - 2)) = - 6( - 2) + 15 \\ g(f( - 2)) = 12 + 15 \\ \boxed{g(f( - 2)) = 27}[/tex]

Answer:

-14.75

Step-by-step explanation:

i did it on iready & got it wrong .

Answer:

-14.75

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Four circles and 12 dots, divide them equally into the circles.

Answer:

3

Step-by-step explanation:

It's kinda like multiplying 3 and 4 then get 12

Answer:

1. Given

2. Definition of midpoint

3. Given

4. Reflexive property of congruence

5. SSS

6. CPCTC

Step-by-step explanation:

Answer:

Step-by-step explanation:

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