The value of 4 + n when n = 17

The proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

In the question ,

it is given that

Karyn proofreads ⇒15 pages in 2 hours for $40

Karyn in 2 hour proofreads 15 pages ,

So, in 1 hour She will proofread = 15/2= 7.5 pages

and will get $40/2 = $20 for 1 hour ,

hence ,her rate in pages per hour is $20 per 7.5 pages per hour .

In 2 hour Karyn earns $40

So , in 1 hour Karyn will earn $40/2 = $20

hence , she earn $20 per hour .

Therefore , the proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

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As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile

We can calculate the total distance traveled by a body with position function s (t) if it moves along a coordinate line without changing direction from t = a to t = b. If the body changes direction during the journey, we must integrate the body's speed |v (t)| to find the total distance traveled.

Therefore,

We know Mary spent only a third of the time coming from school as she did going because she traveled three times as fast coming from school as she did going to school (6 miles per hour versus 2 miles per hour). If x represents the time it took her to get to school, then x/3 represents the time it took her to return.

Knowing that the total trip took 1 hour, we have:

x + x/3 = 1

3x/3 + 1x/3 = 1

4x/3 = 1

x  = 3/4

So we know it took Mary 3/4 of an hour to get to school (and 1/4 of an hour to get home).

Remembering that distance = rate × time, Mary's commute to school was (2 miles per hour) × (3/4 of an hour) = 3/2 mile. Furthermore, because she returned via the same route, she must have traveled 3/2 of a mile.

As a result, the total distance traveled by Mary in her round trip is 3/2 mile + 3/2 mile = 6/2 mile = 3 mile.

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Answer:

y=-5x/3+26/3

Step-by-step explanation:

Because we want the equation to look like y=mx+b, rearrange the terms.

Since 26-5x is the same as -5x+26, rewrite it like that.

3y=-5x+26

Now, since we want the value of y, divide by 3 on both sides.

3y/3=y

-5x/3= -5x/3

26/3= 26/3

The simplest form would look like:

y=-5x/3+26/3

Option D which is [tex](3^{5} )^{2}/3^{4}[/tex] doesn’t have a value less than 1 .

A number's exponent demonstrates how many times we are multiplying a given number by itself. 34, for instance, indicates that we are multiplying 3 by four. 3333 is its expanded form. The power of an integer is another term for an exponent. A whole number, fraction, negative number, or decimal are all acceptable. How frequently a number is multiplied by itself is indicated by its exponent. As 2 is multiplied by itself 4 times, 2222 might be expressed as 24, for instance. The "base" in this case is 2 and the "exponent" or "power" is 4. The general definition of xn is "x multiplied by itself n times."

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Using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.

So, the piece of wood which will have the least amount of unused wood:

3.31 is more than 3 and less than 4.

So, wooden pieces of 4 feet will have the least unused wood.

Therefore, using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.

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Answer: [tex]2/63, -52/63, 83/63[/tex]

Step-by-step explanation:

[tex]h(1)=-\frac{6}{7}(1)+\frac{8}{9}=\frac{2}{63}\\\\h(2)=-\frac{6}{7}(2)+\frac{8}{9}=-\frac{52}{63}\\\\h(-1/2)=-\frac{6}{7}(-1/2)+\frac{8}{9}=\frac{83}{63}[/tex]

Answer:

114 cm^2; x = 6: it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

Step-by-step explanation:

for the first one the area of a trapezoid is [tex]\frac{1}{2} h(b_{1} +b_{2})[/tex]

so

first find the height of the triangle

8^2 + h^2 = 10^2

64 + h^2 = 100

h^2 = 36

h = 6

so

the height is 6

now plug it in

[tex]\frac{1}{2} * 6 (25 + 13)[/tex]

[tex]\frac{1}{2} * 6(38)[/tex]

114 cm is the first answer

for the second one you can add all of them together and set them equal to 27

x - 1 + 2x - 4 + 3x - 4 = 27

6x - 9 = 27

6x = 36

x = 6

that is the second answer

it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

Answer: The image and the preimage have the same orientation.

Answer:

The image and the preimage have the different orientation.

Step-by-step explanation:

i

took

the

test

Answer:

y to the power of -8

:) hope this help

Answer: y^8

Step-by-step explanation:

You see that the equation has two negative numbers, so it will become positive.

(y^-2)^-6 = y^8

The base of it will cancel each other out and left with y^8

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If Sarah is 148 centimeters tall. Sarah's height in inches is 58.27 inches

Information given in the question include

Sarah is 148 centimeters tall

Round to the nearest tenth inch

Sarah's height in inches is is determined using conversion from centimeters to inches

centimeters = cm

inches = in

The unit conversion factor is given as

1 centimeter = 0.393701 inches

148 cm = ?

cross multiplying gives

? * 1 = 148 * 0.393701

? = 58.2677 in

? = 58.27 in ( to the nearest tenth of inch )

Therefore Sarah's height when converted form cm to inches is 58.27 in

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Answer:58.3 inches

Before rounding:58.2677

         The journey through the difficult process of learning to read is described by the Reading Scale. It provides teachers with different perspectives on and analytical tools for their observations of children's growing abilities, knowledge, and comprehension of the reading process.

          Develop Areas Dinosaur Special Using Scale Read the issue below and attempt to resolve it.

            Wonderful exhibit hall A natural history museum's floor plan is displayed.

          3/4 in The The museum is 20 yards to one inch in scale with the blueprint.  

          Space 3/4 in TRY IT Math Resource Kit paper with two sets of numbers, a grid, ribbon, and yarn ADVERTISE IT Why did you select that method of location, for example?

Share: I used the approach I did because.

3/4 : 20 yds

3/4 ×20/1 ÷60/4 = 15 yds

1 (3/4) = 7/4

7/4 × 20/1 = 140/4 = 35 yds.

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Associative Property

Answer:

Associative

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:12:30,2:5 and 18:45

Step-by-step explanation:

88cm² is the area of the trapezoid in the diagram.

This question is incomplete, the missing diagram is uploaded along the answer below below.

A trapezoid is simply a quadrilateral with at least one pair of parallel sides.

The area of a trapezoid is expressed as;

A = 1/2 × ( a + b ) × h

Where a is length of base a, b is length of base b and h is the height.

Given the data in the diagram;

To determine the area of the trapezoid, plug the given lengths into the above formula and solve for A.

A = 1/2 × ( a + b ) × h

A = 1/2 × ( 8cm + 14cm ) × 8cm

A = ( 8cm + 14cm ) × 1/2 × 8cm

A = ( 22cm ) × 4cm

A = 88cm²

Therefore, the area is 88 square centimeters.

Option C is the correct answer.

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Answer:

5+5 5-5=0 is not a solution

Step-by-step explanation:

Length of the resulting box will be of (16-x) inches

A rectangle can be made into a cuboid by cutting squares of equal length from each corners and then joining the edges.

Given, length of cardboard= 16inches

Width of cardboard= 12 inches

If squares of side x is cut out of the corners and the sides are bent  upwards to make a box,

The dimensions of the resulting box will be,

Length= (16-x) inches

Width= (12-x) inches        

Height= x inches

Therefore the length of the resulting box will be of (16-x) inches.

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Total number of questions = 30 questions.

Each correct answer gets = 10 marks.

Marks deducted for each wrong answer = 5 marks.

Total marks scored by Kareem = 180 marks.

If Kareem had attended all the questions, then

Let 'α' be the number of questions he answered wrong, then the number of questions answered correctly by him, will be = (30 - α)

Then we have,

Total marks obtained = (correct answers x 10 marks ) - (wrong answers x 5 marks )

that is.,

180 = [(30 - α) x 10] - [α  x  5] = 300 - 10α - 5α

180 - 300 = -15α

α =  120/15  = 8 questions.

Therefore, 8 questions were answered wrong by Kareem.

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#solving equations

The property used here is the distributive property of the multiplication.

Here we have the expression:

5*23 = 5*20 + 5*3

This is the distributive property of the multiplication, it says that:

A*(B + C) = A*B + A*C

Now, the original expression can be rewritten as:

5*23 = 5*(20 + 3)

And now we apply the above property to get:

5*23 = 5*(20 + 3) = 5*20 + 5*3

5*23 = 5*20 + 5*3

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The probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

Let the given values be

[tex]\mu[/tex] = 99, [tex]$\sigma[/tex] = 8

Let x be the random variable that represents the life of a computer.

Sample size: n = 69

Then, the z-score corresponds to x = 97.94 will be :-

[tex]$z=\frac{97.94-99}{\frac{8}{\sqrt{69}} \quad[\because} \quad z=\frac{x-\mu}{\left.\frac{\sigma}{\sqrt{n}}\right]}$[/tex]

z = -1.10062

Required probability ( using standard z-value table ) :-

P(x < 97.94) = P(z < -1.10) = 1 - P(z < 1.10)

= 1 - 0.1170 = 0.883

Therefore, the probability that the mean of a sample of 78 computers would be less than 97.94 months exists 0.883.

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Answer:

x = 12

Step-by-step explanation:

Since they are opposite exterior angles, they are congruent, so you set them equal to each other

5x = 4x + 12

- 4x  - 4x

x = 12

For A and B to be parallel then the angle (4x+12)⁰ and the angle opposite to angle (5x)⁰ should be equal since the two are congruent to each other.

therefore

5x = opposite angle=(4x+12)

=> 5x=(4x+12)

=>5x-4x= 12

therefore

X =12⁰

Hello!

Let's take this step-by-step:

The formula for the Area of the Triangle:

  [tex]Area = \dfrac{1}{2} *\text{Base} *\text{Height}[/tex]

In this case:

Let's plug in those value's into the equation:

    [tex]\text{Area}=\dfrac{1}{2} *(2x +4)*(x+3)\\\\\\\text{Let's first multiple '2x + 4' and 'x+3'}\\\text{Area}=\dfrac{1}{2} *(2x^2+6x + 4x + 12)=\dfrac{1}{2} *(2x^2+10x + 12)\\\\\\\\\\\textNow multiple 1/2 in the function in the parentheses}\\\text{Area}=\dfrac{1}{2} *2x^2 + \dfrac{1}{2}*10x +\dfrac{1}{2} *12\\\\\text{Area}=x^2+5x + 6[/tex]

Answer: [tex]x^2 + 5x +6[/tex]

Hope that helps!

Answer:

1

Step-by-step explanation:

(5−5)^2+(−5−(−4))^2

0^2+-1^2

1

Answer:

1/3

in decimal its 0.333333

Step-by-step explanation:

I did it before

Answer:

16c+7d

Step-by-step explanation:

Line LN is compounded by segments LM and MN. The lenght of segment LM is fixed (1.3), and we need to find how long should segment MN be so the whole segment LN has a length of 5.7.

The length of segment LN is the sum of lengths of segments LM and MN. Writing it as an equation:

We an replace the values we know in the equation:

Now, we just need to solve for MN:

Segment MN should have a length of 4.4 for the segment LN to be 5.7. Correct answer is option D.

Answer:

[tex]x = 4 \pm \sqrt7[/tex]

Step-by-step explanation:

Hello!

Standard form of a Quadratic: [tex]ax^2 + bx + c= 0[/tex]

Given the Equation: [tex]x^2 -8x+9=0[/tex]

Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\[/tex]

Solve by substituting the values into the Quadratic Formula.

The solution to the quadratic is [tex]x = 4 \pm \sqrt7[/tex].