why the sum of
a rational number and an irrational number is
always irrational.

Answer:

Crayola crayons for 6.97 dollars

Step-by-step explanation:

This is because there would only by 78 crayons in the other crayola box. I know this because you divide 120 by  1.53

Probs wrong but I tried

Answer:

6.97 for 120

Step-by-step explanation:

if you divide the number of crayons in the package by the amount of money you pay for it, they it shows you how many crayons you will get for one dollar. for the 120 for 6.97 its 17 crayons for a dollar and for the 24 for 1.53 its 12 for a dollar

Answer:

[tex] \frac{25}{30} = .83[/tex]

set it up in an old-fashioned way

using the division method. 30 on the outside and 25 on the inside

Answer:

The answer is 0.833333333 but, to nearest hundredth place is it 0.83.

Step-by-step explanation:

I don't know how they call it in your school but, what we are going to do right now is called long division.

The mass would be the dividend (25)  and the volume (30) would be the divisor and the density would be the quotient.

Answer:

82.38%

Step-by-step explanation:

Average cost = u = $ 1,015

Standard Deviation = [tex]\sigma[/tex] = $ 198

Its given that data is normally distributed. We have to find what percentage of vacationers spend less than $ 1200.

Since the data is normally distributed, we can use the concept of z score to answer this question.

We have to find:

Probability ( Spending < 1200)

In symbolic form, this can be represented as:

P(X < 1200)

The formula for the z score is:

[tex]z=\frac{x-u}{\sigma}[/tex]

Using the values in this formula, we get:

[tex]z=\frac{1200-1015}{198}=0.93[/tex]

Thus,

P(X < 1200) is equivalent to P(z < 0.93)

From the z table we can find the probability of z scores being less than 0.93 to be 0.8238

Thus,

P(z < 0.93) = 0.8238

Since,

P(X < 1200) = P(z < 0.93), we can conclude:

The percent of  Vacationers who spent less than $1,200 is 0.8238 or 82.38%

Answer:

415320

Step-by-step explanation:

According to the Power of 10 rule, whenever you divide by 10 [⅒], you move the decimal mark to the left each time, and of course, whenever you multiply by 10, you move the decimal mark to the right each time. In this case, the decimal mark is just after the 2, so multiplying by 10 will add a zero to the number, making it 413520 [four hundred thirteen thousand, five hundred twenty].

I am joyous to assist you anytime.

Answer:

m - 10

Step-by-step explanation:

7 plus = 7 +

The sum of m and -17 = m + (-17)

7 + (m + -17)

We can get rid of the parentheses

7 + m + -17

Combine like terms

7 + -17 = -10

m + -10

Get rid of the addition sign

m - 10

Answer:-

0

Step-by-step explanation:

h(x) = x^2 + 2x -3

x = 2

h(2) = 2^2 + 2(2) - 3

h(2) = 4 + 4 - 3

h(2) = 8-3

h(2) = 5

x = - 4

h(-4) = (-4)^2 + 2(-4) - 3

h(-4) = 16 - 8 - 3

h(-4) = 16 - 11

h(-4) = 5

========

h(2) - h(-4)

5 - 5

0

Answer:

6

Step-by-step explanation:

32×20%

32×.20

6.4

round it to 6

Answer:

6

Step-by-step explanation:

32×20%

32×.20

6.4

round it to 6

Answer:

[tex]|x+5|=1.5[/tex]

is the equation describing minimum and maximum acceptable temperatures.

The minimum temperature could be [tex]-6.5^{\circ}[/tex]

and the maximum temperature could be [tex]-3.5^{\circ}[/tex]

Step-by-step explanation:

The owner of a butcher shop keeps the shop's freezer at -5°C. It is acceptable for the temperature to differ from this value by 1.5°. So, the minimum temperature could be

[tex]-5^{\circ}-1.5^{\circ}=-6.5^{\circ}[/tex]

and the maximum temperature could be

[tex]-5^{\circ}+1.5^{\circ}=-3.5^{\circ}[/tex]

Let [tex]x^{\circ}[/tex] be acceptable temperature of freezer. The difference between the acceptable temperature and given temperature [tex]x-(-5)=x+5[/tex] cannot be more than 1.5° and less than 1.5°, so

[tex]|x+5|\le 1.5[/tex]

Then

[tex]|x+5|=1.5[/tex]

is the equation describing minimum and maximum acceptable temperatures.

Solve it:

[tex]x+5=1.5\text{ or }x+5=-1.5\\ \\x=1.5-5\text{ or }x=-1.5-5\\ \\x=-3.5\text{ or }x=-6.5[/tex]

Answer:

17-2*3-8=3

Step-by-step explanation:

We have given:

17_2_3_8=3 insert + - × or ÷ symbols to make each statement true​?

Solution:

We will insert multiplication sign between 2 and 3 and then subtract all the terms

17-2*3-8=3

We will solve it according to the DMAS rule:

DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction. Without DMAS rule all mathematical equations will come up with different answers.

Lets solve the expression and check whether the L.H.S = R.H.S

17-2*3-8=3

17-6-8=3

11-8=3

3 =3

Be sure to multiply first and then subtract

⇒You can also insert addition sign in place of multiplication. It will give the same answer

Answer:

17 - 2 × 3 - 8 = 3 ⇒ (- , × , -)

Step-by-step explanation:

Lets revise the order of operation

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

Lets explain how to solve the problem

17 __ 2 __ 3 __ 8 = 3

We want to use + , - , × or ÷ symbols to make the statement true

Lets try to find the correct operations

∵ The answer is smaller than all the numbers in the statement

∴ There is subtraction

∵ 17 - 2 = 15

∵ 15 - 3 = 12

∵ 12 - 8 = 4 which is not the answer

Then lets multiply 17 , 2 and multiply 3 , 8 and subtract their results

∵ 17 × 2 = 34

∵ 3 × 8 = 24

∵ 34 - 24 = 10 which is not the answer

Then lets multiply 2 , 3 and then subtract the result from 17 and then

subtract 8 from the last result

∵ 2 × 3 = 6

∵ 17 - 6 = 11

∵ 11 - 8 = 3 which is the answer

∴ 17 - 2 × 3 - 8 = 3

∴ The symbols are -  , × ,  -

Answer:

  (b)  3 hours

Step-by-step explanation:

You want the amount of time Tiffany can rent a canoe if her charges are $7, calculated as $2.50 + 1.50 per hour.

An equation for the time Tiffany can rent is ...

  cost = fixed charge + hourly charge × hours

  7 = 2.50 + 1.50 × hours . . . . . . use the given numbers

  4.50 = 1.50 × hours . . . . . . . . . subtract 2.50

  3 = hours . . . . . . . . . . . . . divide by 1.50

Tiffany can use the boat for 3 hours if she can pay $7 for rental.

Hello!

2X  + 4 = 14

X = 5

2 * 5 = 10

10 + 4 = 14

I hope this helps, and have a nice day!

In order to get the answer to this question you will have to subtract four on both sides then divide ten by two to get your answer.

[tex]2x+4=14[/tex]

[tex]-4 -4[/tex]

[tex]14-4=10[/tex]

[tex]2x=10[/tex]

[tex]10\div2=5[/tex]

[tex]x=5[/tex]

Therefore the answer is "x=5."

Hope this helps

Answer:

15.839 rounded to the nearest tenth is 15.8. This is because when we round it to the nearest hundredth it becomes 15.84 and then to the tenth it becomes 15.8, since 4 is less than 5.

Answer:

15.839 redondeado a la décima más cercana es 15.8.

Step-by-step explanation:

Esto se debe a que cuando lo redondeamos a la centésima más cercana se convierte en 15.84 y luego a la décima se convierte en 15.8, ya que 4 es menor que 5.

Answer:

[tex]t=\frac{3}{2}[/tex]

Step-by-step explanation:

1.

[tex]t+2=5-t[/tex]

2.

[tex]2t+2=5[/tex]

3.

[tex]2t=3[/tex]

4.

[tex]t=\frac{3}{2}[/tex]

The sale price of an item with a 33% discount is calculated by subtracting 33% of the list price from the list price itself. The equation for such a calculation is Sale Price = L - (33/100)*L.

The question is dealing with the calculation of a discount on an item's list price. When an item has a list price 'L' and the discount rate is 33%, you would calculate the sale price by subtracting 33% of the list price (L) from the list price itself. It is given by the equation Sale Price = L - (33/100)*L. This calculation will give you the final price that needs to be paid for the item after the application of the discount.

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Answer:

Step-by-step explanation:

Let the inexperienced crew do the apartment in x hours.

Therefore it takes the experienced crew x/2 = 0.5x hours to do the same place.

x + 0.5x = 4 hours

1.5x = 4 hours

x  =  4/1.5

x = 2.67 hours.

So the inexperienced crew does the job in 2.67 hours.

The experienced crew can do it 1/2 the time which is 1.335

Total time = 4 hours.

Answer:

4 hours

Step-by-step explanation:

I got it correct so...

Answer:

y = ( x^2 / 2 ) + 3

Step-by-step explanation:

Swap x and y, then isolate y to find a function's inverse

x = sqrt ( 2y - 6 )

x^2 = 2y - 6

x^2 + 6 = 2y

( x^2 / 2 ) + 3 = y

y = ( x^2 / 2 ) + 3 is the final answer.

Answer:

-61

Step-by-step explanation:

[tex]\frac{x-9}{10} = -7[/tex]

[tex]x-9= -7(10)[/tex]

[tex]x-9= -70[/tex]

[tex]x= -70 + 9[/tex]

[tex]x= -61[/tex]

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

endpoint 2 = (21, 17 )

Answer:

32.5 miles

Step-by-step explanation:

The average speed is 65 miles per hour.

You want to keep your commute within 30 minutes, which is HALF AN HOUR.

THus, if you can go 65 miles AN HOUR, in HALF AN HOUR, you can go max, HALF OF THAT!!

So, [tex]\frac{1}{2}*65=32.5[/tex]

Thus, you can go 32.5 miles, max

Answer:

The farthest distance would be 32.5 miles

Step-by-step explanation:

Given,

Speed = 65 miles per hour,

If t represents the time ( in hours ) taken in travelling,

Since, time has to commute down less than 30 minutes,

Also, 1 hour = 60 minutes,

[tex]\implies 1\text{ minute}=\frac{1}{60}\text{ hour}[/tex]

[tex]\implies 30\text{ minutes}=\frac{30}{60}=\frac{1}{2}\text{ hour}[/tex]

Thus,

[tex]t\leq \frac{1}{2}[/tex]

i.e. the highest time taken = 1/2 hours,

We know that,

Distance = speed × time,

∵ Distance ∝ time,

⇒ Distance will farthest for largest time taken,

Hence, the farthest distance = [tex]65\times \frac{1}{2}[/tex] = 32.5 km.

The rule for division by a fraction is "change to multiplication by the reciprocal."

So you want(4/3)(12) which is 4(4) = 16

[tex]\bf 12\div \cfrac{3}{4}\implies \cfrac{12}{1}\div\cfrac{3}{4}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\cdot \cfrac{4}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 16[/tex]

Answer:

C. y = 2x - 5

Step-by-step explanation:

–3y = –6x + 15

____ _________

–3 –3

y = 2x - 5

I am joyous to assist you anytime.

Answer:

The distance between R and R' is 3 units ⇒ 1st answer

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same

shape as the original, but in a different size.

If the image is larger than the original figure then dilation is called an

enlargement.

If the image is smaller than the original figure then the dilation

is called a reduction.

The image of a line by dilation parallel to the original line if the original

line not passes through the center of dilation.

Line segment QR is dilated to create line segment Q'R'

∴ QR is parallel to Q'R'

The factor of dilation is 1.5

∴ The length of Q'R' is 1.5 the length of QR

In Δs TRQ and TR'Q'

∵ QR // Q'R'

∴ m∠TRQ = m∠TR'Q'

∴ m∠TQR = m∠TQ'R'

∵ ∠T is common in the two triangles

∴ ΔTRQ is similar to ΔTR'Q'

∴ [tex]\frac{TR'}{TR}=\frac{R'Q'}{RQ}[/tex]

∵ [tex]\frac{Q'R'}{QR}=1.5[/tex]

∵ TR' = TR + y

∵ Tr = 6 units

∴ TR' = 6 + y units

∵ [tex]\frac{TR'}{TR}=\frac{6+y}{6}[/tex]

∴ [tex]1.5=\frac{6+y}{6}[/tex]

Multiply both sides by 6

∴ 9 = 6 + y

Subtract 6 from both sides

∴ 3 = y

* The distance between R and R' is 3 units

Answer:

3 Units on edge

Step-by-step explanation:

Answer:

answer is below

Step-by-step explanation:

h=-12

Answer:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

The length of segment CD is 4 units and segment DE is 2 units. The ratio of CD to DE is 2:1.

To solve this problem, remember that points on a number line correspond to numbers and the lengths between the points correspond to the differences between these numbers.

The segment CD stretches from 0 to 4, hence the length of CD is 4 units.

The segment DE stretches from 2 to 0, hence the length of DE is 2 units.

However, since length cannot be negative, we take the absolute value of -2, which gives DE = 2 units.

Now, to find the ratio of CD to DE, we simply divide the length of CD by the length of DE.

The ratio of CD to DE can be found by dividing the length of CD by the length of DE. So, the ratio is 4/2 = 2.

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Answer:

-5.89

Step-by-step explanation:

we have that

The expression of the negative square root of 34.68 is equal to

[tex]-\sqrt{34.68}[/tex]

Using a calculator evaluate the expression

[tex]-\sqrt{34.68}=-5.89[/tex]

Answer:

D. A is the smallest angle

Step-by-step explanation:

Angle A's lines are closest together

Answer:

D. A is the smallest angle

Step-by-step explanation:

To answer this question properly, we need to remember that the sum of the three angles, in a triangle, must result in 180º. Besides, each leg of this triangle is in the opposite direction to the angle of its vertex.

Finally, with the help of a compass we can demonstrate it even better, but in short,  the larger the leg the larger the angle. So, ∠A is the smallest angle since a measures 7 units, then comes ∠B for b measures 10 units and ∠C as the largest angle for c measures 12 units.

Answer:

s[tex]s^{3}[/tex]

Step-by-step explanation:

A cube's volume is its length * width * height. Its length, width, and height are all equal to s.

A cube's edge length is another word for its side length, which is the same for every edge in the cube.

To write the equation for the volume with s substituted for length, width, and height, we get that volume = s[tex]s^{3}[/tex].