George purchases a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates for $20. If a carton of dates costs twice as much as a sack of apples and the price of a cantaloupe is equal to the price of a sack of apples minus a bunch of bananas, how much would it cost George to purchase a bunch of bananas and a cantaloupe?

Answers

Answer 1

9514 1404 393

Answer:

  $5

Step-by-step explanation:

Let the variables A, B, C, D represent a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates, respectively. Then the problem statement gives rise to 3 equations:

  A +B +C +D = 20

  D = 2A

  C = A -B

Substituting the last two equations into the first gives ...

  A +B + (A -B) +2A = 20

  4A = 20 . . . simplify

  A = 5 . . . . . divide by 4

Substituting this into the last equation, we have ...

  C = 5 -B

  B + C = 5 . . . . add B

The cost to purchase a bunch of bananas and a cantaloupe is $5.


Related Questions

Admission to a school play costs BD 12.50 . Form an inequality and solve it to find the maximum number of tickets Aslam can buy with BD 250. *



a) 18

b) 20

C) 22


Answers

Answer:

Step-by-step explanation:

C) 22

Jenny and Chris share some prize money in the ratio 2:4. The prize money totaled $3000. How much did Chris win?




Help please need it today

Answers

Solution for What is 2.4 percent of 3000:

2.4 percent *3000 =

(2.4:100)*3000 =

(2.4*3000):100 =

7200:100 = 72
Maybe i dont know tbh

5x+2y=16 in function form

Answers

Answer:

y=-2.5x+8

Step-by-step explanation:

Subtract 5x from both sides

2y=-5x+16

divide both sides by two

y=-2.5x+8

Simplify the expression 10a-7b+11+8b-b-12

Answers

Answer:

10a-16b+23

Step-by-step explanation:

First, you see what terms are alike. Then you add those like terms. For example with this expression, you add 7b+b+8b, resulting in 16b. If you are confused by the single b variable standing alone, there is basically a 1 in front of it, so you add it as 1b. 11 and 12 are like terms, for they don't have any variables attached to them. 10a stands alone because no other terms have an a variable. The simplified expression is 10a-16b+23.

Your welcome <3

The simplified value of the expression 10a - 7b + 11 + 8b - b - 12 is 1a - 1.

Given Expression:

10a-7b+11+8b-b-12

To simplify expression, first solve the like terms as

10a-7b+11+8b-b-12

= 10a -7b + 8b - b - 12 + 11

Now, -7b + 8b - b = -7b + 7b = 0

and, -12 + 11 = -1

Substituting the simplified value in 10a-7b+11+8b-b-12 gives

= 10a + 0 - 1

= 10a - 1

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819 ÷ ________ = 8.19 (3 points)

a
101

b
102

c
103

d
104

Answers

Are those the only options because 819 divided by 100 is 8.19

Great Free Practice Problems
(these problem is all "find the number" problems)

1. In a two-digit number, the tens digit is 5 less than the unit digit. The number itself is five more than three times the sum of its digits. What is the number?

2. The sum of digits of a two-digit number is 11. The reverse number is 9 greater than the original number. Find the reverse number.

3. The sum of the digits in a two-digit number is 14. If you reverse and double the original number, and then add the results to the original number, the sum is 222. Find the original number.

4. The unit digit of a two-digit number is four more than the then digit. If the number is doubled it will be q more than the reversed number. Find the number

5. In a three-digit number, the tens digit is the same as the hundreds digit. The ones digit of this number is equal to 1/3 of the sum of the other two digit. Find the number if the sum of all its digits is equal to 24

6. In a two-digit number, the units digit is six less than three times the tens digit. Four times the unit digit minus five times the tens digit equals 11. Find the digits.

Please answer all the problems ;)

Answers

Answer:

1) 38

2) 56

3) 86

4)  37

5) 6 i think

6) 93

Step-by-step explanation: sorry if any of these are wrong

Answer:

The answer is 38. Sorry if it's wrong.

Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i

Answers

Answer:

The distance between given points is: √20

Step-by-step explanation:

The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.

Given numbers are:

[tex]z_1 = 2-3i\\z_2 =4+i[/tex]

The difference will be calculated as:

[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]

The distance will be:

[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]

Hence,

The distance between given points is: √20

see image help me as fast as possible, please

Answers

20 would be the answer

If a single card is drawn from a standard 52-card deck, in how many ways

can it be a heart or a King? Use the general additive principle.​

Answers

Answer:

22

Step-by-step explanation:

A word in a book is 0.009 meter long. Kai looked at the word with a lens that made it look 100 times as large as the actual word. How long did the word look?

Answers

Answer:

0.9 meters long.

Step-by-step explanation:

0.009m times 100=0.9 m

When discordant pairs exceed concordant pairs in a P-Q relationship, Kendall's tau reports a(n) ________ association between the variables under study.a. positive.
b. weak.
c. negative.
d. strong.
e. inverse.

Answers

Answer:

a. positive.

Step-by-step explanation:

Matching and discordant pairs are used to describe the relationship between pairs of observations. To calculate matched and discordant pairs, data is treated as ordinal values. Therefore these are suitable for your application. The number of concordant and discordant pairs is used in Kendall's tau calculations, whose purpose is to determine the relationship among two ordinal variables.

If the direction of the classifications is the same, the pairs are concordant.

A pair of observations is discordant, suppose the subject being with an increased value on one variable is lower on the other.

SO; When discordant pairs exceed concordant pairs in a P-Q relationship, Kendall's tau reports a(n) positive association between the variables under study.

5 divided by 1/10 is what?

Answers

50...................

4.(03.06) Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1). O y + 3 = -5(x - 2) Oy - 2 = -5(x + 3) Oy+3 = - ] (x - 2) Oy-2=-****​

Answers

Answer:the answer is D y-2= 1/5(x+3)

Step-by-step explanation:I took the test

y-2=-1/5(x+3) is the  point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are (-3, 2) and (2, 1)

m=1-2/2+3

=-1/5

So slope is -1/5.

Now let us find the point slope form

y-y₁=m(x-x₁)

y-2=-1/5(x+3)

Hence, y-2=-1/5(x+3) is the  point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).

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The number of bacteria present in a culture was 1,000. Each hour , the number of bacteria in the culture was eight times the number that was present at the start of the preceding hour, as shown in the table

Answers

Answer:

the answer is d

Step-by-step explanation:

if you go threw your toutorial you will see that

Help?? What decimal place value is .7 in

Answers

Answer:

tenth

Step-by-step explanation:

it just is

tenths place because behind a decimal theres isn’t a oneth place, there’s no such thing so it would be the tenths place

How do you do 20 / 4/5

Answers

Answer:

25

Step-by-step explanation:

you can write this equation as 20 ÷ [tex]\frac{4}{5}[/tex]

so change the division sign to multiplication by flipping the divisor ( [tex]\frac{4}{5}[/tex] )

this means you now have 20 x [tex]\frac{5}{4}[/tex]

so you can simplify 20 and 4, this makes the 4 into a 1 and the 20 into a 5

you now have 5 x [tex]\frac{5}{1}[/tex]

this is the same thing as 5 x 5

multiply it, and you can see that the answer is 25

Linear, exponential, or neither?
y = 4(1+.04)*

Answers

I guess it’s neither.

Can someone help I numbered them poorly also there will be some left over numbers that weren’t used, I’ll mark brainliest if u give a small explanation

Answers

Answer:

Step-by-step explanation:

Slope m = rise / run = ([tex]y_{2}[/tex] - [tex]y_{1}[/tex]) / ([tex]x_{2}[/tex] - [tex]x_{1}[/tex])

1). (-4,3)

   (4, - 1)

m = (-1 - 3) / (4 + 4) = - 1/2

2). (-1, 1)

    (2, - 5)

m = (- 5 - 1) / (2 + 1) = - 2  

3). (6, 4)

    (5, 4)

m = (4 - 4) / (5 - 6) =  0  (graph is horizontal line)

4). (1, 4)

    (4, 1)

m = (1 - 4) / (4 - 1) = - 1

5). - 3/4

6). 4/3

Now is your turn. You can do it!!!

7). (1, 1)

   (2, 2)

m = ____

8). ( __ , __ )

  ( __ , __ )

m = _____  

9). (0, 2)

   (0, 4)

m = (4 - 2) / (0 - 0) = undefine slope or no slope (graph is vertical line)

10).

If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of

getting exactly 4 tails?

Answers

Answer:

=0.444

Step-by-step explanation:

probability= expected outcome  =   4

                        total outcome            9

4 into decimal  = 0.444( to the nearest thousandths- 3dp)

9

The probability is 24.609%

What is probability?

The mathematical subject of probability deals with the outcomes of random events. The term "probability" refers to the possibility or chance of an outcome. It clarifies the likelihood of a particular occurrence. We use phrases like "It will probably rain today," "he will probably pass the test," "there is very little chance of getting a storm tonight," and "most probably the price of onion will go high again" all the time.

Given a coin is tossed 9 times, and to find the probability of exact four heads,

the probability for condition given by  binomial probability ⁿCₓ[(p)ˣ(q)ⁿ⁻ˣ]

where p is probability of tail = 1/2 (favorable outcome)

q is probability of head = 1/2: (1 - p)

n = total outcome = 9

x = 4

ⁿCₓ[(p)ⁿ(q)ⁿ⁻ˣ] = ⁹C₄[(1/2)⁴(1/2)⁵]

= [tex]\frac{9!}{4!(9 - 4)!}[/tex] [1/16 x 1/32]

= [tex]\frac{9 x 8 x7 x 6 x 5!}{4! x 5!}[/tex](512)

126/512 = 0.24609

= 24.609%

Hence the probability, to the nearest thousandth is 24.609%.

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Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.
a) y = x + 1
b) y = - x -
c) y = - x - 3
d) y = x +

Answers

Answer:

c

Step-by-step explanation:

Just trust me ive had ths question before

Michaela solved a system of linear equations that had no solution. One of the equations was x + y = 5. The other equation had a y-intercept of −2. What was the other equation?

Answers

Answer:

We have a system of equations with no solutions.

One of the equations is:

x + y = 5.

Isolating y in one side of the equation, we get:

y = 5 - x

And the other equation has an y-intercept of -2, the equation can be written as:

y = a*x - 2.

Then the system will be:

y = -1*x + 5

y = a*x - 2

The solution of a system of equations is a point where the graphs of both functions intersect.

Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.

And two lines are parallel if they have the same slope.

Then the other equation will be:

y = -x - 2

Write an equation in slope-intercept form for each table below.


Show how you found the slope and Y-intercept

Answers

Answer:

i.  y=2x

ii. y=x+6

iii. y=-2x-6

iiii. y=-4x+3

iiiii. y=4x-3

Step-by-step explanation:

You can find the slope of the line by putting y2-y1/x2-x1

All you have to do is choose 2 points. Y2 is the second number y and x2 is the second number x. Y1 is the first number y and X1 is the first number X. To find y-intercept you look on the table and see where X is 0 and Y is any number that is the y-int. For example 5 there is no X=0 on the table so you put it in the point slope formula which is y-y1=m(x-x1) where you use the points from the slope. You multiply m to x and m to x1 where you will end up with y-y1=mx+mx1 then you add the y1 to mx1 where you will get the y intercept

Question 6
5 pts
Maria and Sarah were in charge of selling tickets to the class play. Maria sold 91
tickets and Sarah sold 70 tickets. What is the ratio of the number of tickets Maria sold
to the total number of tickets sold?

Answers

Answer:

Maria sold 56.5% of the total quantity of tickets sold.

Step-by-step explanation:

Given that between Maria and Sarah they both sold 161 tickets (91 + 70), and that of those 161 Maria sold 91 while Sarah sold 70, to determine the percentage of tickets that Maria sold over the total amount, the following crossed multiplication must be performed:

161 = 100

91 = X

((91 x 100) / 161) = X

9,100 / 161 = X

56.5 = X

Therefore, Maria sold 56.5% of the tickets sold.

Help pleaseeeee


Find the unit rate.
Hours
Miles
X
y
1
40
2
80
3
120

It’s one of these

O 120 miles / 3 hours
O 80 miles / 2 hours
O 40 miles / 1 hour

Answers

Answer:

The answer is 40miles in 1 hour

Please help
Picture inserted
Multiple choice
Will appreciate it if u help!

Answers

Answer: B) Linear; it can be written as y = -3x-6

We subtract 6 from both sides to go from the original equation to -3x-6 = y

Then we flip both sides to end up with y = -3x-6

This is in slope intercept form y = mx+b with m = -3 as the slope and b = -6 as the y intercept.

6-6x = 5x-9x + 15
The value of x is

Answers

Answer:

[tex]Exact Form\\x= -\frac{9}{2} \\\\Decimal form:\\x= -4.5\\\\Mixed number form:\\x=-4\frac{1}{2}[/tex]

Hope this helps :)

Given: △ABD cong △CBD. Find each value. (#6)

Answers

Answer: m<C= 31

Step-by-step explanation:

To find m<C: Since the triangles are equal, we know that (4x+10) is equal to 90. Then when you put them equal to each other and solve for x you get X=20. Then all you have to do is plug that x value (20) into the equation for the angle of C (x+11). Then you get that C=31 degrees.

Help Please ( and leave on how you solved it ) ":(
view pic below

Answers

Answer:

The value of x = 10.

Step-by-step explanation:

From the given triangle,

The value of angle M = (3x + 28)°The value of angle K = (5x - 18)°The value of angle L = 90°

We know that the sum of a triangle is 180°.

i.e.

K + L + M = 180°

(5x - 18)° + 90° + (3x + 28)° = 180°

[tex]5x-18+90+3x+28=180[/tex]

[tex]5x+3x-18+90+28=180[/tex]

[tex]8x-18+90+28=180[/tex]

[tex]8x+100=180[/tex]

[tex]8x=80[/tex]

[tex]\frac{8x}{8}=\frac{80}{8}[/tex]

[tex]x=10[/tex]

Therefore, the value of x = 10

How many cups of whole wheat flour are required to make 35 biscuits?

Answers

Answer:

8 baby

Step-by-step explanation:

There are 18 green, 11 white, 15 purple, and 7 blue gum balls in a gum ball machine.



What is the probability that you will get a purple OR a blue gum ball if one is selected at random?



P(Purple OR Blue Gum ball) = ?



Make sure your answer is a SIMPLIFIED FRACTION if possible.


I WILLLLL GIVE THE FIRST 3 PPL THAT ANSWER A BRAINLIEST!!!!!!!!!

Answers

Answer:

%43

Step-by-step explanation:

I'm pretty sure? Its just what I think

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