Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order.

Answers

Answer 1

Answer:

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y               ..........(1)

36 = 10x + y              ..........(2)

51 = 15x + y               ..........(3)

66 = 20x + y             ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = [tex]\frac{15}{5}[/tex] = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

  = 21 - 15

  = 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y               ..........(1)

21 = 5(3) + 6

    = 15 + 6

    = 21

⇒21 = 21

Verified

36 = 10x + y              ..........(2)

36 = 10(3) + 6

     = 30 + 6

     = 36

⇒36 = 36

Verified

51 = 15x + y               ..........(3)

51 = 15(3) + 6

    = 45 + 6

    = 51

⇒51 = 51

Verified

66 = 20x + y             ..........(4)

66 = 20(3) + 6

     = 60 + 6

     = 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6

Julio Is Ordering Books From BestBooks For His Reading Club. The Table Shows Julio's Total Cost Of The
Julio Is Ordering Books From BestBooks For His Reading Club. The Table Shows Julio's Total Cost Of The

Related Questions

HELLO CAN SOMEONE PLEASE HELP

Answers

Answer:

1, 4

Step-by-step explanation:

X increases up by one

Y multiplies 4 from the previous

Ok I will if you need it

Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise.1 Fifty infants between the ages of 4-13 months were exposed to both happy-sounding infant speech and a hummed lullaby by the same woman. Interest in each sound was measured by the amount of time the baby looked at the woman while she made noise. The mean difference in looking time was 27.79 more seconds when she was speaking, with a standard deviation of 63.18 seconds. Perform the appropriate test to determine if this is sufficient evidence to conclude that babies prefer actual speaking to humming.

Required:
State the null and alternative hypotheses.

Answers

Answer:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

we reject the Null and we conclude that babies prefer actual speaking to humming.

Step-by-step explanation:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

Mean difference, d = 27.79

Standard deviation of difference, Sd = 63.18

Sample size, n = 50

The test statistic :

d / (Sd / √n)

Test statistic :

27.79 / (63.18 / √50)

27.79 / 8.9350012

= 3.11

Using the Test statistic score, we can obtain the Pvalue

Using the standard normal table ;

Pvalue = P(x<-Z or x>Z) = 0.0018709

Pvalue is very low

Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.

For which of the following values of X is 5+X < 5?

Answers

Answer:

x<1

Step-by-step explanation:

5+x<5

x<5-5

x<1

it simply is one , you just take five to the other side making x the subject of the formula

Mrs.Oswalt has been craving smoothies lately. She buys a 20oz chocolate smoothie for 7$. Ms.Munguia buys a 17oz chocolate smoothie. How much is Ms.Munguia’s smoothie?
A. 5.95$
B. 8.24$
C. 6$

Answers

Answer:

Cost of 17 oz smoothies = $5.95

Step-by-step explanation:

Given:

Amount of smoothies Mrs. Oswalt buy = 20 oz

Cost of 20 oz smoothies = $7

Amount of smoothies Ms. Munguia buy = 17 oz

Find;

Cost of 17 oz smoothies

Computation:

Cost of 17 oz smoothies = Cost of 20 oz smoothies[Amount of smoothies Ms. Munguia buy / Amount of smoothies Mrs. Oswalt buy]

Cost of 17 oz smoothies = 7[17/20]

Cost of 17 oz smoothies = 119 / 20

Cost of 17 oz smoothies = $5.95

Em um jantar no castelo da rainha da Inglaterra, estavam presentes 10 pessoas da mais alta corte inglesa. Após o jantar foram servidas dois tipos de sobremesas, A e B. Sabe-se que apenas 5 pessoas comeram da sobremesa A e 7 da sobremesa B e 3 pessoas comeram as duas. Após um jantar, foram servidas as sobremesas X e Y. Sabe-se que das 10 pessoas presentes, 5 comeram a sobremesa X, 7 comeram a sobremesa Y e 3 comeram as duas. Quantas não comeram nenhuma sobremesa?

Answers

Fraction equals 287 kilograms

#37. What is the next step when solving the equation sin (2x) - sin (x) = 0​

Answers

sin(2x) - sin(x) = 0

Expand the first term using the double angle identity:

2 sin(x) cos(x) - sin(x) = 0

Factor out sin(x) :

sin(x) (2 cos(x) - 1) = 0

This leaves you with 2 cases that can be solved separately:

sin(x) = 0   or   2 cos(x) - 1 = 0

sin(x) = 0   or   cos(x) = 1/2

[x = 2   or   x = π + 2]   or   [x = π/6 + 2   or   x = 5π/6 + 2]

(where n is any integer)

A line passes through the point (6,-1) and is perpendicular to the line with equation - 2x + 3y = -6. Which is the equation of the line?​

Answers

Answer:

i'm not sure if this answers your question

the slope for - 2x + 3y = -6 is 2/3

the y- intercept is (0,-2)

Step-by-step explanation:

x | y

0 | -2

3 | 0

The triangles shown below must be congruent.
45
45
45
45"
12
12
O A. True
B. False

Answers

The answer of your question is True

Find the range and interquartile range of the data.
63,53,48,61,69,63,57,72,46
The range of the data is
The interquartile range of the data is

Answers

I believe the range is the middle number so start from 63 then 46 then 53 then go back and forth until you get the middle number now after you get the middle number for the IQR add up both sides of the middle and / by the all the number on the left and right of the middle number

The formula for the volume V Of a cone has the radius r and the height h is shown below.
V= 1/3 π r ²h
H= what?

Answers

Answer:

H is same as h which means height if cone or perpendicular drawn from tip of cone to the base plane !

Hope this helps

-4(y - 2) = 12
y = ?​

Answers

Answer:

Hello! answer: -1

Hope that helps!

what is the solution to -3^2+4(-3)(-3)

Answers

Answer:

The solution is 45.

Step-by-step explanation:

9+4(9)

9+36

45

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{ -3^2+4(-3)(-3)}[/tex]

[tex]\mathsf{-3^2}\\\mathsf{= -1\times3^2}\\\mathsf{3^2=3\times3=\bf 9}\\\mathsf{-1\times9}\\\mathsf{= \bf -9}[/tex]

[tex]\mathsf{-9 +(4)(-3)(-3)}[/tex]

[tex]\mathsf{4(-3)=\bf -12}[/tex]

[tex]\mathsf{= -9 + (-12)(-3)}[/tex]

[tex]\mathsf{(-12)(-3)=\bf 36}[/tex]

[tex]\mathsf{-9+36=\bf 27}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 27}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Question is below in photo

Answers

what about using 20-30-40-5

Step-by-step explanation:

the sequence is that you are skipping ten to get the second nb which is 30 and keep on going on to get 50

A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out what the height of the tree was in 2020.

Answers

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

[tex]H(t) = H(0)(1+r)^t[/tex]

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that [tex]H(0) = 4[/tex]

The tree grew continuously by 22% each year from that point.

This means that [tex]r = 0.22[/tex]

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

[tex]H(t) = H(0)(1+r)^t[/tex]

[tex]H(t) = 4(1+0.22)^t[/tex]

[tex]H(4) = 4(1.22)^t[/tex]

[tex]H(4) = 4(1.22)^8 = 19.63[/tex]

The height of the tree in 2020 was of 19.63 feet.

Jimmy spent $32.50 at the bowling alley. He spent $5 to rent shoes and the rest he spent on bowling l, which cost $5.50 per game. What are the 2 steps and how much games did jimmy bowl?

Answers

Answer:

First you do 32.50 - the 5 dollars he used to rent shoes. Then you would get 27.50, then you do 27.50- 5.50 per game. 27.50- 5.50- 5.50-5.50-5.50-5.50. He bowled 5 games total

Step-by-step explanation:

Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.

Answers

Answer:

he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars

Here’s the problem:)

Answers

Since 4 is not between x degree and the right angle, it is the opposite
7 is the longest side (hypothenuse)
Given opposite and hypothenuse, you can use sine to find the degree
Sin = opposite/hypothenuse
sin^-1(4/7) = 34.84990458

The solution is 34.8 (rounded to tenth)

Answer:

60.3°

Step-by-step explanation:

tanx(7/4)

since x is missing then its gonna be like this

[tex]tan^{-1}= \frac{7}{4}[/tex]

x= 60.260 round it if u want, my teacher said to round it to the tens place when finding the missing angle

URGENT PLEASE HELP!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?​

Answers

Answer:

21mm

Step-by-step explanation:

Area = 336mm²

Height = 16mm

Base = ?

Area = Base × Height (Substitute numbers into the known variable)

336mm² = Base × 16mm ( Find the base,so divide

16mm on both sides)

Base = 336mm² ÷ 16mm

= 21mm

the cost of 5 DVDs and a $15

Answers

Answer:

$3

Step-by-step explanation:

the cost of 5 DVDs and a $15

you didn't ask anything

Answer:

$3 because 15÷3= 5 so it is 3

Angle Relationships

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.

The cosine of the complimentary angle to 38°

a. 0.68
b. -0.16
c. -0.22
d. 0.62

Please select the best answer from the choices provided

Answers

Answer:

D. 0.62

Step-by-step explanation:

I calculated it logically

What is the greatest common factor (GCF) of 24 and 40?

Answers

Question:

What is the greatest common factor (GCF) of 24 and 40?

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40=2×2×2×5

24=2×2×2×3 then we take the common 2×2×2=8

1
(b) If x= 1 - 2 then find the value of x-
x​

Answers

Answer:

I think x - x = 0

FILLER FILLER

There are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green
marble, then a red marble.

Answers

Answer:

3/76

Step-by-step explanation:

f(x) = -2x + 4 if x < 2 2x-4 if x>2 is continuous at x = 2. true or false

Answers

Answer:

False

Step-by-step explanation:

The point A(-7, 3) is translated onto A' by the vector =(5, -4).

The coordinates of A' are

O (-12,7)

0 (2, -7)

o (5, -4)

o(-2, -1)

Answers

Answer:

o(-2,-1)

Step-by-step explanation:

Let point A be initial point and A' be terminal point.

A(-7,3), A'(x,y) and V=(5,-4)

V=(Xf-Xi,Yf-Yi)

(5,-4)=(x-(-7),y-3)

(5,-4)=(x+7,y-3)

5=x+7. -4=y-3

5-7=x. -4+3=y

x=-2. y=-1

A'=(-2,-1)

The coordinates of A'(-2, -1).

What is Translation?

Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.

Given:

point A(-7, 3)

and vector, V =(5, -4).

So, V=([tex]X_f-X_i,Y_f-Y_i[/tex])

Where X(final) = ?, Y(Final)= ?

So, (5,-4)=(x-(-7),y-3)

(5,-4)=(x+7,y-3)

On comparing the coordinates

5=x+7  and -4=y-3

x= 2 and y = -1

Hence, the coordinates of A'(-2, -1)

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ5

Amanda is 160 cm tall. She is 10 cm taller than her younger sister Carl a. Which of the following equations can be used to find x? X + 10 = 160 X + 160 = 10 X - 10 = 160 x = 10 + 160 ​

Answers

Answer:

A. x + 10 = 160

Step-by-step explanation:

This is the correct choice since, we already know the height of Amanda and it gives us the difference between her sister and her height. We can formulate an expression.

x + 10 = 160

Solve.

160 - 10 = 150

x = 150

Thus, Carla is 150 centimeters tall.

Sten counts 39 rabbits in his garden. Round 39 to the nearest 10.

Answers

Answer: Round 39 to the nearest 10 is 40

Step-by-step explanation:

What is the domain for √(x-2)? *

all real numbers except x=2
all real numbers for x≥2
all real numbers for x≤2
all real numbers except x=0

Answers

the answer would be A

2. A movie theater charges $15 for adults and children and $10 for seniors. A
total of $1,270 was collected for movie ticket sales one night for a selected
movie. The total number of tickets sold for that movie was 93. How many
adult and senior tickets were sold?

b. Write the equations:

Answers

Answer:

A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93

Step-by-step explanation:

15a + 10s =1270 equation 1

a + s =93 equation 2

a=93-s. Isolate a for equation 2

15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in             equation 1

1395-15s+10s=1270

-5s=-125

S=25

solve for a

a + s =93

a + 25=93

a=68

‘check answer

15a + 10s=1270

15(68) + 10(25)=1270

1020+ 250=1270

PLEASE HELPPPPP!!!!!!!!! (show work if you can)

Answers

Answer:

[tex]180x^4y^3z^2[/tex]

Step-by-step explanation:

Start by finding the LCM of the coefficients of each polynomial:

[tex]LCM(12,18,30)=180[/tex]

Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term ([tex]x[/tex], [tex]y[/tex], and [tex]z[/tex]). The largest term of [tex]x[/tex] is [tex]x^4[/tex] in the first polynomial, so we'll take exactly that for our [tex]x[/tex] term in the LCM, absolutely nothing more. Similarly, the largest term of [tex]y[/tex] in any of the three polynomials is [tex]y^3[/tex] (also in the first polynomial) and the largest [tex]z[/tex] term in any of the three polynomials is [tex]z^2[/tex] in the second polynomial. Thus, the LCM of all our polynomials is:

[tex]180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}[/tex]

Answer:

[tex]\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2[/tex]

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