Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inches long should each shelf be?



If x represents the length of the shortest shelf, which expression would represent the length of the longest shelf?

x + 6
x + 4
x + 3

Answer:

A

Step-by-step explanation:

The answer is A but I need more than one letter to answer this

Answer:

$20.85 less.

Step-by-step explanation:

City sales:

7% tax = 48.65

total bed cost = $743.65

Nearby City:

4% tax = 27.8

total bed cost = $722.8

city sale - nearby city

743.65 - 722.8

=20.85

Answer:

48

Step-by-step explanation:

x1 = 20 ; y1 = 12  

x2 = ? ; y2 = 5

[tex]\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}\\\\\frac{20}{x_{2}}=\frac{5}{12}\\\\20 *12 = x_{2}*5\\\\\frac{20*12}{5}=x_{2}\\\\4*12=x_{2}\\\\x_{2}=48[/tex]

Pythagorean theorem. A^2+B^2=C^2.

So 12^2+16^2=c^2

144+256=c^2

400=c^2

square root of 400=c

So C=20

Hit the heart if it was helpful :D

Step-by-step explanation:

Write what you know

Pythagorean theorum

a^2 + b^2 = c^2

rearrange and solve for c

sqrt(a^2 + b^2) = c

plug and chug

Answer:

x = 8.8

Step-by-step explanation:

take 20 degree as reference angle .the,

hypotenuse = OQ = x (hypotenuse is always opposite of 90 degree)

perpendicular(opposite) = PQ 3 (opposite of reference angle is perpendicular or also called as opposite)

base(adjacent) = OP (side which lies on the same line where 90 degree and reference angle)

using sin rule

sin 20 = opposite / hypotenuse

0.34 = 3 / x

x = 3/0.34

x = 8.82

x = 8.8

Answer:

1.953125 is the answer I believe

or 125/64

or 1 61/64

Answer:

Jack is 24

Step-by-step explanation:

Luke : jack

3            2

We know like is 36

3*12 = 36, so we need to multiply by 12

Luke : jack

3*12     2*12

36          24

Answer:

24

Step-by-step explanation

Notice that Luke's real age is 12 times the number in the ratio, which is a simplified version of the original ratio, where they used division by 12 on both sides to get 3:2. Just do the opposite of division, which is multiplication, and multiply both sides of the ratio to get 36:24, which means that Jack is 24 years old!

Hope this helped you!

Answer:

2/5

Step-by-step explanation:

Slope of line is also called the gradient of line.

The formula of gradient of a straight line is always (y1-y2)/(x1-x2)

9514 1404 393

Answer:

  (9x -4)/(x^2 -4)

Step-by-step explanation:

Perhaps you intend the sum ...

  7x/(x^2 -4) +2/(x +2)

  [tex]=\dfrac{7x}{(x+2)(x-2)}+\dfrac{2}{x+2}=\dfrac{7x+2(x-2)}{(x+2)(x-2)}\\\\=\boxed{\dfrac{9x-4}{x^2-4}}[/tex]

Answer:Good luck hopefully somebody answer your question

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

The solution is basic.

Step-by-step explanation:

Applying,

pH = -log(H⁺)................. Equation 1

From the question,

Given: (H⁺) = 2.7×10⁻⁹ M

substitute these value into equation 1

pH = -log(2.7×10⁻⁹)

pH = 8.57 M.

pH scale

For acidity = 0-6

For neutrality = 7

For basicity = 8-14

From the above calculation,

The solution is basic.

Answer:

lb of apples for $1.98

9514 1404 393

Answer:

  1 7/8p

Step-by-step explanation:

The expression is simplified by adding the coefficients in the usual way.

  1 3/8p+5/8p-1/8p = p(11/8 +5/8 -1/8) = p(15/8) = 1 7/8p

Answer: 1

−

1

(

s

e

c

2

−

1

t

a

n

2

)

Step-by-step explanation:

Answer:

[tex]c=8[/tex]

Step-by-step explanation:

When we plug in the solution [tex](x+2)[/tex], we will substitute [tex]x=-2[/tex], as [tex]-2+2=0[/tex].

To be divisible, a remainder of zero must be yielded.

Let's substitute [tex]x=-2[/tex] to see what we need to make [tex]c[/tex]:

[tex]p(-2)=4\cdot(-2)^3+c\cdot (-2)^2+(-2)+2,\\p(-2)=-32+4c[/tex]

Remember that we want a remainder of zero:

[tex]-32+4c=0,\\4c=32,\\c=\boxed{8}[/tex]

The cost to purchase the mountain bike is $439.85.

Answer:

Step-by-step explanation:

8m

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]m=\boxed{-\frac{4}{5}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

Answer: 10.9

Step-by-step explanation

9514 1404 393

Answer:

  13.6

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(29°) = 6.6/x

  x = 6.6/sin(29°) . . . . . . multiply by x/sin(29°)

  x ≈ 13.6

Answer:

Step-by-step explanation:

hope it helps much

Answer:

Step-by-step explanation:

[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does this very nicely.

__

The intercepts can be found by setting the other variable to zero and dividing by the coefficient of the variable of interest. This tells you the x-intercept is -2/3, and the y-intercept is -2/1 = -2. The y-intercept is conveniently on a grid point. To find other grid points on the line, it is convenient to choose integer values for x, then solve for y.

  y = -3x -2

Positive values for y will require negative values of x.

Answer:

The third one is the correct answer!

Because:

No more no less.

Hope this helped!

Answer:

The third option

Step-by-step explanation:

The slope is a constant linear slope of 8

Answer:

73%

Step-by-step explanation:

40/55 x 100

= 72.72727273

Rounded = 73%

Hope this helps!

Answer:

49/6

Step-by-step explanation:

8×6= 48

+ the numerator

The mixed fraction number in the form of an improper fraction will be 49/6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction number is given below.

⇒ 8 ¹/₆

Convert the mixed fraction number into an improper fraction. Then we have

⇒ 8 ¹/₆

⇒ 8 + 1/6

⇒ (48 + 1) / 6

⇒ 49 / 6

The mixed fraction number in the form of an improper fraction will be 49/6.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

5x + 10

5(x + 2)

Step-by-step explanation:

The Expressions are 5x + 10 and 5(x + 2).

The direct conditions in a single variable is a condition which is communicated as ax + b = 0, where an and b are two numbers, and x is a variable and has just a single arrangement.

In one-variable linear equations, there is only one possible solution to the equation and one variable.

Given a model shows the area of garden,

where it is divided in two parts,

part one has 5 equal portion shown in blue color and second part has 10 equal portion in green color,

blue color portions marked by x it can be water or any common thing in each portion the equation for blue portion is 5x,

where x can be anything,

Green part marked by 1 that means they have fixed thing it can be greenery of ground and there are 10 equal parts,

total equation for garden is  5x + 10

taking 5 common we get 5(x + 2)

Hence the  expressions that represent the area are 5x + 10 and 5(x + 2).

Learn more about linear equation in one variable;

https://brainly.com/question/17139602

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