(x) + (x + 1) + (x + 2) = 75

Answer:

66

Step-by-step explanation:

The height of the person in inches by unit conversion will be 66 inches.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that,

1 feet = 12 inches

Multiply both sides by 5.5

5.5 feet = 12 x 5.5 = 66 inches

Hence "The height of the person in inches by unit conversion will be 66 inches".

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Answer:

There are 9 dots. So 9.

Step-by-step explanation:

Just take my word for it.

Answer:

x = 3/10

Step-by-step explanation:

2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3

1 1/2 = 1 + 1/2 = 2/2 + 172 = 3/2

2(1 1/2 - x) =  7/3 + 1/15

2(3/2 - x) = 35/15 + 1/15

2*3/2 + 2*-x = 36/15

3 - 2x = 36/15

-2x = 36/15  - 3

-2x = 36/15  -  45/15

-2x = -9/15

x = (-9/15)/-2

x = -9 / (15*-2)

x = 9/30

x = 3/10

verify:

2(3/2 - 3/10) = 36/15

2*3/2 + 2*-3/10 = 36/15

3 - 6/10 = 36/15

30/10 - 6/10 = 36/15

24/10 = 36/15 = 72/30

Answer:

C. -24

Step-by-step explanation:

Hello!

To solve this we have to follow the order of PEMDAS

Parenthesis, exponents, multiplication and division, addition and subtraction

[tex]21 + 6^{2} - (35 - 8) * 3[/tex]

Parenthesis first

[tex]21 + 6^{2} - (27) * 3[/tex]

Exponents next

21 + 36 - 27 * 3

Multiplication and division from left to right

21 + 36 - 81

Addition and subtraction from left to right

57 - 81 = -24

The answer is C.-24

Hope this helps!

Answer:

Step-by-step explanation:

[tex]21+6^2-\left(35-8\right)\times \:3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(35-8\right)\::\quad 27\\\\=21+6^2-27\times \:3\\\\\mathrm{Calculate\:exponents}\:6^2\::\quad 36\\\\=21+36-27\times \:3\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\times \:3\::\quad 81\\\\=21+36-81\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:21+36-81\::\quad -24\\\\=-24[/tex]

Answer:

- 10

Step-by-step explanation:

Distribute the '+' into the '-' and simplify:  

-5+9+(-5)+(-10)+(1) =

-5 + 9 - 5 - 10 + 1 =

-10

Answer:

Step-by-step explanation:

[tex] \sf{ - 5 + 9 + ( - 5) + ( - 10) + 1}[/tex]

When there is a ( + ) in front of an expression in parentheses, the expression remains in same.

⇒[tex] \sf{ - 5 + 9 -5 - 10 + 1}[/tex]

Calculate

⇒[tex] \sf{ 4 - 5 - 10 + 1}[/tex]

⇒[tex] \sf{ - 1 - 10 + 1}[/tex]

⇒[tex] \sf{ - 11 + 1}[/tex]

⇒[tex] \sf{ - 10}[/tex]

Hope I helped!

Best regards!!

Answer:

a line

Step-by-step explanation:

Answer:

The answer is C. 76.53

Answer:

-5x-1

Step-by-step explanation:

5x+- 4(x + 5) +19 - 6x

Distribute

5x -4x -20 +19 -6x

Combine like terms

-5x-1

Answer:

Step-by-step explanation:

[tex]5x+- 4(x + 5) +19-6x\\5x +(-4x-20)+19-6x\\\\5x -4x-20+19-6x\\\\Add \:similar\:elements\\5x-4x-6x-20+19\\\\=-5x -1[/tex]

Answer:

D) If C lies on AB and is between A and B, then AC + CB = AB.

Step-by-step explanation:

Statements A, B and C are postulates while statement D is a theorem.

A postulate is a statement that is true but cannot be proven, but a theorem is a statement that can be proven.

The statement D is the betweenness theorem for points. It states that If C lies on AB and is between A and B, then AC + CB = AB.

This statement can be proven, so it is a theorem.

Answer:

Yes.

Step-by-step explanation:

They are both divisible by 21.

Answer:

Yes

Step-by-step explanation:

They both equal one half

Answer:

He will owe $24 interest at the end of the year.

Step-by-step explanation:

Formula for finding Simple Interest:

S.I = PRINCIPAL × RATE × TIME/100

S.I = 200 × 12 × 1/100

S.I = $24

$24 is the Simple Interest.

Answer:

The correct option is;

C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2

Step-by-step explanation:

The area of the square frame is the area of the inner square subtracted from the area of the outer square

Which gives;

52.2² - 47.8² = 440

Therefore;

Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is  a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

The error is the thickness is 2.2 not 4.4

Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440,  is  a correct way of finding the area of the square frame

Answer:

21 : 22

Step-by-step explanation:

Boys : Girls = 7 : 8

Let the number of boy = 7x

the number of girls = 8x

Number of boys after 20% increase = 120% of 7x

                                                           = 1.2 * 7x

                                                            = 8.4 x

Number of girls after 10% increase = 110% of 8x

                                                           = 1.1 * 8x

                                                            = 8.8x                    

After increase in number of boys & girls ,

= 8.4x : 8.8x

= 84 : 88    { reduce to simplest form by giving by 4th table}

= 21 :  22

Answer:

B

Step-by-step explanation:

25.4

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

The mean of average is the ratio of the sum of observations and the number of observations.

Janette was timed by a store manager as she folded and stored a scarf, a shirt, a pair of trousers, and a jumper. Her time for the shirt was 26.1 seconds, the jumper 24.3 seconds, the trousers 32.8 seconds, and the scarf 18.2 seconds.

The average time Janette to fold and put away all four items will be given as,

Average = (26.1 + 24.3 + 32.8 + 18.2) / 4

Average = 101.4 / 4

Average = 25.35

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

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Answer: D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}

Step-by-step explanation:

When we have a function f(x) = y, the domain is defined as all the possible values of x that the function maps into other values.

In our graph, we can see two curves.

The first one (the one at the left)

Has two black dots, one at x = -5, and other at x = -2

(black dots means that the value is included, white dots means that the value is not included)

So this first part of the domain is:

-5 ≤ x ≤ -2.

Now, the second part has a black dot in x = 1, and a white dot in x = 5, so we can write this part of the domain like:

1 ≤ x < 5

Then the domain of our function is:

D = {-5 ≤ x ≤ -2  or  1 ≤ x < 5}

Answer:

the answer is D

Step-by-step explanation:

refer to the picture given

Answer:

4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.

Step-by-step explanation:

Numbers:

Let's see which option is correct:

-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.

-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.

4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.

12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.

Answer:

five times the value of 6 more than a number

Step-by-step explanation:

five times = 5 •

6 more = 6 +

a number = x

5(x + 6)

Answer:

$738

Step-by-step explanation:

Uber X costs $40

Max orders 9

$40.00·9=$360.00

Uber XL costs $63

Max orders 6

$63.00·6=$378

$360.00+$378.00=$738

Hope this is helpful :-)

Answer: Choice A) z = -3

====================================

Work Shown:

-2z + 3 + 7z= -12

5z+3 = -12

5z = -12-3 .... subtract 3 from both sides

5z = -15

z = -15/5 .... divide both sides by 5

z = -3

Answer:

A. z = -3

Step-by-step explanation:

B, C, and D have the wrong variable in the answer

-2z + 3 + 7z = -12

5z + 3 = -12

5z = -15

z = -3

The equation for the nth term of the arithmetic sequence is  -6n + 14 and the found 50 is -286.

An arithmetic sequence is a series of numbers that are ordered and share a common difference between each succeeding term. In the arithmetic sequence 3, 9, 15, 21, 27, for example, the common difference is 6.

Arithmetic is the branch of mathematics that studies numbers by performing various operations on them. A sequence is a numerically ordered list. The three dots indicate that the pattern should be continued. The difference is six.

a + d(n - 1)

a = 8 (first term)

d = -6 (common difference)

8 - 6(n - 1)

= 8 - 6n + 6

= -6n + 14

Find a 50:

-6(50) + 14

= -300 + 14

= -286

Therefore, the equation for the nth term of the arithmetic sequence is  -6n + 14.

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Answer:

The weight is 9 lbs

Step-by-step explanation:

flat fee + price per found * pounds = total charge

6.99 + .55 * p = 11.94

Subtract 6.99 from each side

6.99 + .55 * p  - 6.99= 11.94-6.99

.55p =4.95

Divide each side by .55

.55p/.55 = 4.95/.55

p =9

The weight is 9 lbs

Answer:

Possible perimeters:

50 inches, 28 inches, 22 inches, 20 inches.

Step-by-step explanation:

Given that:

Area of triangle = 24 square inches

Side lengths of rectangle are integers.

To find:

Possible perimeter of this rectangle = ?

Solution:

Here, options are missing, so let us calculate all possibilities for the perimeter.

The formula for Area of a rectangle is given as:

[tex]A = Length \times Width[/tex]

Let us make integer factors of 24 first of all.

[tex]24 = 1 \times 24\\24 = 2 \times 12\\24 = 3 \times 8\\24 = 4 \times 6[/tex]

These are the four possibilities of length and breadth.

Let us calculate the possible perimeter for each case using the formula for perimeter:

[tex]Perimeter = 2\times (Length + Width)[/tex]

1st possible option:

[tex]Perimeter = 2\times (1+ 24) = 50\ inches[/tex]

2nd possible option:

[tex]Perimeter = 2\times (2+ 12) = 28\ inches[/tex]

3rd possible option:

[tex]Perimeter = 2\times (3+ 8) = 22\ inches[/tex]

4th possible option:

[tex]Perimeter = 2\times (4+ 6) = 20\ inches[/tex]

Answer:

[tex]\frac{6}{y}[/tex]

Answer:

6/y.

Step-by-step explanation:

If the number is y then the expression 6/y.

Answer:

Step-by-step explanation:

The vertex is (d, e)

for quadratic function: f(x) = ax² + bx + c  we have:

d = -b/a    and    d = (x₁ + x₂)/2  

a = 1,   b = k,   x₁ = -4,    x₂=-2      

so:

d = -b/a = -k/1 = -k   and   d = (x₁ + x₂)/2 = (-4-2)/2 = -3

-k = -3

k = 3

Answer:

1.3%

Step-by-step explanation:

percent = part/total × 100%

percent = 25,952/1,994,317 × 100%

percent = 1.30129...%

Answer: 1.3%

Step-by-step explanation:

so, x+4/x-1=11/16

16x+64=11x-11

16x-11x=-11-64

5x=-75

x = -15

also, x+1 = -14

x =first number

x+1 = second number

(x) + 4 = x + 4 = 1 ^ new number [first number + 4]

(x + 1) -2 = x - 1 = 2 ^ new number [second number - 2]

[tex]\frac{x+4}{x-1}=\frac{11}{16}[/tex]

now, we resolve it:

[tex]\frac{16(x+4)-11(x-1)}{16(x-1)}=0[/tex]

[tex]\frac{16x+64-11x+11}{16x-16}=0[/tex]

[tex]\frac{5x+75}{16x-16}=0[/tex]

we eliminate the denominator and do c.e.: 16x - 16 ≠ 0; 16x ≠ 16; x ≠ 1

5x + 75 = 0

x = - 15

so x + 1 = - 14

But what you ask are two positive numbers! Are you sure that you write correctly the question? Thank you