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Fraction questions

The range of rate at which Nadia could type is given by the inequality equation 27 ≤ x ≤ 37  where x is the number of words per minute

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the total number of words typed per minute be = x

Now , the value of x is calculated by

The number of words Nadia can type = 32 words

The rate of change of words per minute = 5 words

So , Nadia can type 5 words slower or faster

So , the value of x ranges from ( 32 - 5 )  and  ( 32 + 5 )

So , the value of x ranges from 27 words per minute to 37 words per minute

The inequality equation is given by

27 ≤ x ≤ 37 , where x is the number of words typed by Nadia per minute

Therefore , the inequality equation is 27 ≤ x ≤ 37

Hence , the range of the inequality equation is 27 ≤ x ≤ 37

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The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

The ladder forms a right triangle as it lies against the wall as shown in the image below.

Thus:

x = length of the ladder (hypothenuse)

Reference angle [tex](\theta) = 75^{\circ}[/tex]

25 ft = Opposite

Apply SOH:

Thus,

[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}[/tex]

Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.

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Answer:

x=32.09 feet long

Step-by-step explanation:

Answer: can u be more direct plz

Step-by-step explanation:

Answer:

it could be 34 , 34 and 82

or 34 , 73 and 37

Step-by-step explanation:

angles in a triangle add up to 180. in and isosceles triangle two angles are always the same so there will be 2 possible outcomes.

pls mark brainalist

Answer:

Option D

Step-by-step explanation:

Convert to slope-intercept form:

[tex]4x-2y=2[/tex]

[tex]-2y=2-4x[/tex]

[tex]y=-1+2x[/tex]

[tex]y=2x-1[/tex]

Find the x-intercept by plugging in y=0:

[tex]y=2x-1[/tex]

[tex]0=2x-1[/tex]

[tex]1=2x[/tex]

[tex]\frac{1}{2}=x[/tex]

[tex]x=\frac{1}{2}[/tex]

Therefore, the x-intercept is [tex](\frac{1}{2},0)[/tex]

Find the y-intercept by plugging in x=0:

[tex]y=2x-1[/tex]

[tex]y=2(0)-1[/tex]

[tex]y=0-1[/tex]

[tex]y=-1[/tex]

Therefore, the y-intercept is [tex](0,-1)[/tex]

So, the correct answer is option D.

Answer:

D

Step-by-step explanation:

1. To find the x intercepts, set y equal to 0 and solve for x

4x - 2y = 2

4x -2(0) = 2

4x - 0 = 2

4x = 2

x = 1/2

2. To find the y intercepts, set x equal to 0 and solve for y

4x - 2y = 2

4(0) - 2y = 2

0 - 2y = 2

-2y = 2

y = -1

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

t2-t1=20-10=10 t3-t2=30-20=10. t4-t3=40-30=10 therefore it is in proportion

Its division and fractions i advise calulater soup

Answer:

[tex] = > 10 \times 5 \times 13[/tex]

[tex] = > 50 \times 13[/tex]

[tex] = > 650[/tex]

Answer:To write a linear expression in standard form, rearrange the terms in alphabetical order.

7384000000

Step-by-step explanation:

Answer:

738400000.0

Step-by-step explanation:

738400000.0*10^10

Answer:

1)15.9

depends on what x and y are but put 15.9 ig

Step-by-step explanation:

Answer:

cost of smalls + cost of larges so the answer is 2.40+3.70

Step-by-step explanation:

Answer:

(- 7, - 2 ) , (9.5, 0.75 )

Step-by-step explanation:

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex] = 0.75

Substitute these values into (1) for corresponding values of x

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

(- 7, - 2 ) and  (9.5, 0.75 ) are the solutions.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, we have,

Given the equations

x - 6y = 5 ( add 6y to both sides )

x = 5 + 6y → (1)

xy - 2y² = 6 → (2)

Substitute x = 5 + 6y into (2)

(5 + 6y)y - 2y² = 6 ← distribute and rearrange left side

5y + 6y² - 2y² = 6

4y² + 5y = 6 ( subtract 6 from both sides )

4y² + 5y - 6 = 0 ← in standard form

(y + 2)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

4y - 3 = 0 ⇒ 4y = 3 ⇒ y =  = 0.75

Substitute these values into (1) for corresponding values of x

y = - 2 : x = 5 + 6(- 2) = 5 - 12 = - 7 ⇒ (- 7, - 2 )

y = 0.75 : x = 5 + 6(0.75) = 5 + 4.5 = 9.5 ⇒ (9.5, 0.75 )

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Answer:

7x^3-5x+11

Step-by-step explanation:

(3x^3-2x+5)-(-4x^3+3x-6)

Distribute

3x^3-2x+5+4x^3-3x+6

Simplify

7x^3-5x+11

Answer:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x + {46}^{o} ) + {x}^{o} = {90}^{o} \\ {x}^{o} + {46}^{o} + {x}^{o} = {90}^{o} \\ {2x}^{o} + {46}^{o} = {90}^{o} \\ {2x}^{o} = {90}^{o} - {46}^{o} \\ {2x}^{o} = {44}^{o} \\ {x}^{o} = \frac{ {44}^{o} }{2} \\ {x}^{o} = {22}^{o} \\ [/tex]

Answer:

2 -2 = 0

hope this helps <3

Answer:

(ii) 1 dollar

Step-by-step explanation:

each pencil costs 17 cents

- thus 3 pencils x 17c is 51c

1.00 dollars minus 0.51 is 49

- 5 pencils x 17c is equal to 85

1.00 dollars minus 0.85 is 15 c

Hello salvadorbea340!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] - (6y - 4) + (6y - 4) - ( - 2)[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]-(6y-4)+(6y-4)-(-2)[/tex]

Firstly, let's open the brackets of the 1st term, i.e. - (6y - 4).

[tex] -( 6y - 4) \\ = \underline{\underline{- 6y + 4}}[/tex]

Now, the 2nd term [ (6y - 4) ].

[tex] + ( 6y - 4) \\ = \underline{\underline{ + 6y - 4}}[/tex]

Now, the 3rd term ⇨ - (- 2)

[tex] -( - 2) \\ = \underline{\underline{ + 2}}[/tex]

Now, let's bring the equation together.

[tex]- (6y - 4) + (6y - 4) - ( - 2) \\ = - 6y + 4 + 6y - 4 + 2[/tex]

Now, let's solve the equation.

Firstly, bring the like terms together.

[tex]- 6y + 4 + 6y - 4 + 2 \\ = - 6y + 6y + 4 - 4 + 2[/tex]

Now cancel out -6y & +6y and 4 & -4 as they make 0.

[tex]- 6y + 6y + 4 - 4 + 2 \\ = \bcancel{- 6y }+ \bcancel{6y} + \bcancel{ \: \: 4 } \: \: - \bcancel{ \: 4 }+ 2 \\ = 0 + 2 \\ = 2[/tex]

And, the only number left is 2. So our answer is 2.

[tex] = \large\boxed{\boxed{ 2}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

28/15

Step-by-step explanation:

have a wonderful day :)

Answer:

1 13/15

Step-by-step explanation:

7/10 ÷ 3/8

Copy dot flip

7/10 * 8/3

Rewrite

7/3 * 8/10

Simplify

7/3 * 4/5

Multiply

28/15

Change to a mixed number

15 goes into 28 1 time with 13 left over

1 13/15

Step-by-step explanation:

follow the above attachment.

hope this helps you.

Answer:

first one is correct

Step-by-step explanation:

length of a rectangle = 2b - 8c

breadth of a rectangle = 10b + 6c

now , formula to calculate the perimeter of rectangle is

p = 2 (l + w)

no substitute the value of l(length) and w(width)

p = 2{(2b - 8c) + (10b + 6c)}

p = 2(2b - 8c + 10b + 6c)

p = 2(12b - 2c)

p = 24b - 4c

Answer:

x=4, y=2

Step-by-step explanation:

if x=2y just put 2y into the spot where x is for x+y=6

x+y=6

(2y) + y = 6

3y = 6

y = 2

now that I know y I can then replace y with the number 2

x= 2y

x = 2(2)

x= 4

Answer:

the y intercept is 5 because the line passes through 5 on the y axis. Now to find the slope, pick two points where the line hits directly on the corner of the grid squares. pIck 2 of those and count the squares up till you are lined up with your other point then count over and get another number. Put the number going up over the number going down like x/y and you'll have your answer. ( simplify it if you can.(-2,3) and (0,5) are a good place to start. The answer should be 2/3. Hope this helped and God bless!

Step-by-step explanation:

a) 6400

b) 4800

c) 32000

hope this answer helps you dear!

Answer:

smallest integer value of m=4

Step-by-step explanation:

Answer:

The answer is B or It must be a positive number since it represents a number of hours.

Step-by-step explanation: