HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?

A.5
B.7
C.9
D.11

Answers

Answer 1

Answer:

He sold 7 more small boxes than large boxes

Step-by-step explanation:

Let x be the no of small boxes sold .

Cost of 1 small boxes of oranges = $5

Cost of x small boxes of oranges = 5x

Let y be the no. of large boxes sold

Cost of 1 large boxes of oranges = $9

Cost of y large boxes of oranges = 9y

He sold 17 boxes in all total for 105

So,x+y=17 ---1

So,5x+9y=105 ---2

Substitute the value of x from 1 in 2

5x+9(17-x)=105

5x+153-9x=105

153-105=4x

[tex]\frac{153-105}{4}=x[/tex]

12=x

Substitute value of x in 1

12+y=17

y=17-12

y=5

Difference in no. of boxes = 12-5 = 7

So, He sold 7 more small boxes than large boxes


Related Questions

Find the volume of this figure.
12 m
6 m
6m​

Answers

Answer:

432

Step-by-step explanation:

To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.

Hope this helps!

(Also can I get Brainliest? Please?)


Given the fractions 8/15 and 18/35, find the largest number that these fractions can be divided by, so that the quotient will be a whole number.

Answers

Answer:

Therefore the largest number that these fractions can be divided by to give them a whole number is

a) 8/15 = The largest number is 8/15

b) 18/35 = The largest number is 18/35

Step-by-step explanation:

A quotient is the result obtained by dividing two numbers.

So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.

Let's assume the whole number is 1

a. 8/15

8/15 ÷ x = 1

8/15 × 1/x = 1

8/15x = 1

We would cross multiply

8 = 15x

We would divide both sides by 15

8/ 15 = x

Hence the largest number that would divide 8/15 and give it a whole number = 8/15

b) 18/35

18/35÷ x = 1

18/35 × 1/x = 1

18/35x = 1

We would cross multiply

18 = 35x

We would divide both sides by 35

18/ 315 = x

Hence the largest number that would divide 18/35 and give it a whole number = 18/35

Answer:

The answer is 2/105

Step-by-step explanation:

first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.

Now, put the GCF you found over the LCM.

ANSWER: 2/105

This fraction is the largest number you can divide both numbers by to get a whole number.

pls help it will mean alot!!
due rn!!

Answers

Answer:

f(x) = 4^x

f(4) = 4^4 = 256

Hope this helps!

:)

the answer is 256 but i am not sure

hope this helps and be safe :)

I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help

Answers

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.

The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

(-2 - 0)/(0 - (-1)) = -2/1 = -2

The line on the right passes through (0, 2) and (1, 0), so its slope is

(0 - 2)/(1 - 0) = -2/1 = -2

The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

Please can people help??!!
Photo below

Answers

i think this is the method for solving it

i think of a number multiply it by 3 and subract 2 . The result is 14​

Answers

Answer:

5.3

Step-by-step explanation:

Answer:

The answer is 5.3

Step-by-step explanation:

5.3x3-2= 13.9 but when you round its 14

7. How many Cones will it take to fill a Cylinder with the same height and radius?
O 6 cones
O 3 cones
O 1 cone
O 2 cones​

Answers

Answer:

3 cones

Step-by-step explanation:

This is why the formula for the volume of a cone is 1/3 (π×r^2)× h, while the volume for a cylinder is (π× r^2)× h, respectively.

Answer:

C) 3 Cones.

Explanation:

Hope this helps! :)

Directions: Identify the two integers which the square root lies between.
V48
5 and 6
7 and 8
6 and 7
8 and 9

Answers

I guess the answer is D!:( I hope u get it correct!

what is k if k-3/4 = 10

Answers

Answer:

Move all terms not containing k to the right side of the equation.

Exact Form:

k = 43/4

Decimal Form: k = 10.75

Mixed Number Form:

k = 10 3/4

Math isnt my strong suit..

Answers

1) B, 2) E, 3)C, 4)A, 5)D

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

Find the area of the shaded regions:
The pink is the shaded region.

Answers

40π

You dont need paper hw since we're in quarantine

Answer:40

Step-by-step explanation:

In parallelogram WXYZ, what is CY?

Answers

Answer:

The correct answer is 11 ft.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:

x+4-x=2x-7-x

4=x-7.

Add 7 to both sides:

4+7=x-7+7

11=x

Answer:

11

Step-by-step explanation:

On edge

Which expression has the same value as 5(4x+4)

Answers

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas

Answers

This one is an easy one

500x22%

Find two numbers, if their sum is 49 and their difference is 1/2 .
This question is for my little sister who needs help with her Math.
I'm too busy to help.

Answers

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

Learn more about algebra here:

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There is a unique positive real number x such that the three numbers
log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
The number x can be written as m/n, where m and n are relatively prime positive integers.
Find m+n.

Answers

Answer: 17  

Step-by-step explanation:

If the log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.

Let a = log82x, b = log4x and c = log2x

If a = log8 2x; 8^a = 2x... (1)

If b = log4 x; 4^b = x ... (2)

If c = log2 x; 2^c = x...(3)

Since a, b c are in GP, then b/a = c/b

Cross multiplying:

b² = ac ...(4)  

From eqn 1, x = 8^a/2

x = 2^3a/2

x = 2^(3a-1)

From eqn 2; x = 4^b

x = 2^2b

From eqn 3: x = 2^c

Equating all the values of x, we have;

2^(3a-1) = 2^2b = 2^c

3a-1 = 2b = c

3a-1 = c and 2b = c

a = c+1/3 and b = c/2  

Substituting the value of a = c+1/3 and b = c/2 into equation 4 we have;

(c/2)² = c+1/3×c

c²/4 = c(c+1)/3

c/4 = c+1/3

Cross multiplying;

3c = 4(c+1)

3c = 4c+4

3c-4c = 4

-c = 4

c = -4  

Substituting c = -4 into equation 3 to get the value of x we have;

2^c = x

2^-4 = x

x = 1/2^4

x = 1/16    

Since the number x can be written as m/n, then x = 1/16 = m/n

This shows that m = 1, n = 16

m+n = 1+16

m+n = 17  

The required answer is 17.  

The value of m+n in which m and n are relatively prime positive integers is 17.

What is geometric sequence?

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

There is a unique positive real number x such that the three numbers log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio. The progression is,

[tex]\log_82 x,\log_4x, \log_2x[/tex]

The above numbers are in geometric progression. Thus, the ratio of first two terms will be equal to the ratio of next two terms as,

[tex]\dfrac{\log_4x}{\log_82x}=\dfrac{\log_2x}{\log_4x}\\(\log_4x)^2={\log_2x}\times{\log_82x}\\[/tex]

Using the base rule of logarithmic function,

[tex]\left(\dfrac{\log x}{\log 4}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log8}\\\left(\dfrac{\log x}{\log 2^2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log2^3}[/tex]

Using the Power rule of logarithmic function,

[tex]\left(\dfrac{\log x}{2\log 2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{3\log2}\\\dfrac{\log x}{4}=\dfrac{\log 2+\log x}{3}\\3\log x=4(\log2x)\\\log x^3=\log(2x)^4\\x^3=16x^4\\x=\dfrac{1}{16}[/tex]

The number x can be written as

[tex]\dfrac{m}{n}[/tex]

Here, m and n are relatively prime positive integers. Thus, the value of m+n is,

[tex]m+n=1+16=17[/tex]

Hence, the value of m+n in which m and n are relatively prime positive integers is 17.

Learn more about the geometric sequence here;

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i dont know how to do this if someone could show me how and what the answer is

Answers

Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

7. What is the value of the expression 3(2 - 7)​

Answers

Answer:

-15

Step-by-step explanation:

3(2 - 7)​

PEMDAS says parentheses first

Subtract

3 (-5)

Multiply

-15

The answer is -15 :)

Understanding Different Types of Credit
Check
Sort each scenario into the correct category based on the type of credit it represents.
title loan with collateral
Easy-Access Credit
Open-End Credit
V
Closed-End Credit
car loan
two-week payday loan
credit card
home loan
$2000 monthly line of credit
) Intro
Done

Answers

Answer:

EASY-ACCESS CREDIT:

1. title loan with collateral

2. two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. home loan

2. car loan

The division of category on the basis of type of credit would be as follows:

Easy-Access Credit

1. Title loan with collateral

2. Two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. Home loan

2. Car loan

Collateral Credit

Credit is described as the amount that has been added to a specific account.

Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.

While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).

Close-end credit in which the amount remains specified initially while it is being lent.

Learn more about "Credit" here:

brainly.com/question/1995705

Find the surface area.

Any help will be appreciated thank you

Answers

Answer:

Find the area of the shape

First the two triangles

3 x 4 = 12 so the area of both triangles is twelve

Now it is only 1 big rectangle left

The side lengths can be added 3 + 4 + 5 = 12

12 x 11 = 132

132+12=144

144 is the surface area/area

If you have any questions please ask

Step-by-step explanation:

4 inches 6 inches and 9 inches



v= in3

Answers

Answer:

what are you asking the total or what

Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?

Answers

Answer:

We need the segments but which ever one has the segment that is 2/3 times the length of segments xy

Step-by-step explanation:

Answer: line c

Step-by-step explanation: I got it correct

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

the right answer is : A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

im smort

hi!! <3 i attached a picture of a easy trigonometry question can you please help if you don’t mind <33

Answers

Answer:

Side AB has a length of 4, and side BC has a length of 11.7

Solve the equation for x, and enter your answer below.

10x - 15x + 5= -45 + 40

Answers

Answer: x = 2

Step-by-step explanation:

[tex]10x - 15x + 5= -45 + 40[/tex]

subtract 5

[tex]10x - 15x= -45 + 40-5[/tex]

Combine like terms;

[tex]-5x=-10[/tex]

Divide by -5

[tex]x=\frac{-10}{-5}\\ x=2[/tex]

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]

Write the equation of a line that passes through the point (4, 2) and is parallel to the line graphed below.

Answers

Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

What is the equation of the following line? Be sure to scroll down first to see all answer options.

A. y = 3x
B. y = x
C. y = 2x
D. y = -1/3x
E. y = -3x
F. y = 1/3x

Answers

choice D: y=-1/3x
explanation:




Select the expressions that are equivalent to 6(x + 7).
(7 + x) 6
6x + 42
(x + 7)6
42x + 6​

Answers

Answer:

[tex]6x + 42[/tex]

Step-by-step explanation:

Apply the distributive property:

[tex]6x + 6 \times 7[/tex]

Multiply 6 by 7

[tex]6x + 42[/tex]

HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8

Answers

Answer:

(B)[tex]\dfrac{1}{m^8}[/tex]

StartFraction 1 Over m Superscript 8 EndFraction

Step-by-step explanation:

We want to find the simplified form of: [tex]m^{-8}p^0[/tex]

[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]

The correct option is B.

Answer:

I am 80% sure its 1 if not then its 1/p

Step-by-step explanation:

A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.

Answers

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.

Trigonometric Ratio

Using SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use

Data;

opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yards

since we have the value of opposite and adjacent, we can solve this using the tangent of the angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]

From the calculation above, the angle of depression is equal to 76.23 degrees.

Learn more on angle of depression here;

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