You are creating identical picnic baskets using 30 sandwhiches and 42 cookies. What is the greatest number of baskets that you can fill using all of the food?

Answers

Answer 1
Here, you want to find the GCF, or the greatest common factor.

Simplest way to do this is by listing out all the factors.

30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42

So the greatest number that they share is 6.

So there would be 6 picnic baskets. (With 5 sandwiches and 7 cookies in each)
Answer 2
the answer would be 6 baskets with 7 cookies and 5 sandwiches in each basket


Related Questions

Simplify using the distributive property. 8( y + 12)

A: 8 y + 12
B: 20 y
C: 20 + y
D: 8 y + 96

Answers

Final answer:

The question requires us to simplify 8(y + 12) using the distributive property, which results in 8y + 96. So, correct answer is D: 8y + 96.

Explanation:

The question is asking us to simplify the expression 8( y + 12)

using the distributive property. The distributive property states that multiplication distributes over addition. In simpler terms, it means that if you have a multiplication operation involving a sum (or difference), you can 'distribute' the multiplier to each term inside the parenthesis.

Applying the distributive property to 8( y + 12) gives us:

8 * y + 8 * 12

This simplifies to:

8y + 96

So the correct answer is D : 8y + 96.

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Which one of these numbers is not like the others?

25, 16, 49, 63, 81

Answers

25 is not alike the other numbers because it is the only one that can be divided by 5.


63 because 16,25,49, and 81 are perfect squares and 63 is not 

Please help me!! I'm terrible at math

Answers

girl thats so easy i can help you 

what is the improper fraction of 7/2

Answers

That is an improper fraction

It is already an improper fraction, which basically is a larger number over a smaller number.

Did you mean in mixed fraction form? It would be 3 1/2, then. 

For a party 20 sandwiches are being made if each sandwich is cut into thirds how many sandwich pieces are there?

Answers

Well let’s simplify the problem.

If we take one sandwich it would be 1: and if we add the fact that for every one sandwich 3 new sandwiches were made, we can make a 1:3 ratio. If for every 1 sandwich there are 3 more sandwiches then we would multiply the beginning amount of 20 sandwiches to both numbers in the ratio so it stays equivalent.

1 x 20 = 20
3 x 20 = 60

So we can say now that the ratio for 20 sandwich pieces there are 60 new sandwich pieces.

The new ratio being 20:60 thus the amount of sandwiches after they were cut in thirds is 60 sandwiches

Answer = 60 sandwiches



Have a nice day! :D
Final answer:

When you cut 20 sandwiches into thirds, you will end up having 60 pieces of sandwiches.

Explanation:

The question you're asking requires a simple multiplication. Given that you have 20 sandwiches and you're cutting each sandwich into thirds, you need to multiply the number of sandwiches (20) by the number of cuts (3). The equation is 20 sandwiches * 3 pieces/sandwich.

So, when you multiply 20 by 3, you end up with a total of 60 pieces of sandwich. Therefore, after cutting all the sandwiches into thirds, you should have 60 pieces of sandwich for the party.

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Figure ABCD is a trapezoid with point A (0, −4). What rule would rotate the figure 270° clockwise?

Answers

To rotate it 270 degrees clockwise (x,y) transforms to (-y,x)

Answer-

The rule (x, y) → (-y, x) would rotate the figure 270° clockwise and after rotation the coordinate of A will be (4, 0)

Solution-

ABCD is a trapezoid with vertex A at (0, -4)

The trapezoid ABCD is rotated 270°.

While rotating a point with coordinate (x, y) 270° clockwise, its new coordinate will be (-y, x)

So applying the rule, new coordinate of A will be (4, 0)

Therefore, the rule (x, y) → (-y, x) would rotate the figure 270° clockwise and after rotation the coordinate of A will be (4, 0)

Which of the following expressions is not equal to 0.00055? 55 • 10-5 5.5 • 10-4 5.5 • 104 0.55 • 10-3

Answers

Answer:

(C)

Step-by-step explanation:

The given expression is :

[tex]0.00055[/tex]

which on simplifying, we get

[tex]\frac{55}{100000}=55{\times}10^{-5}[/tex]

The given expression can be easily rewritten as:

[tex]5.5{\times}10^{-4}[/tex] and [tex]0.55{\times}10^{-3}[/tex]

but [tex]5.5{\times}10^{4}=55000{\neq}0.00055[/tex]

Thus, Option (C) is the expression which is not equal to the given expression.

you are ordering pizzas for a birthday party and getting them delivered to your house. You order 12 pepporoni pizzas, 8 cheese pizzas, and 4 hawaiian pizzas. There is a delivery fee of $5.50. If your total comes to $184.54, how much was each pizza? Assume that every pizza was the same amount.

Answers

12 pepperoni, 8 cheese, 4 hawaiian...total of 24 pizzas

5.50 + 24p = 184.54
24p = 184.54 - 5.50
24p = 179.04
p = 179.04 / 24
p = 7.46 <== charge per pizza

What is 24/42 in the simplest form?

Answers

24/42= 4/7 

 To start divide both sides by 2  So 24/2=12 and then 42/2=21. So it would then be 12/21. Now both are divisible by 3 so you can divide each side by 3. So 12/3=4 and 21/3=7 so it would be 4/7. You can't-do anything further so that is the lowest term.
What is the largest common factor of both 24 and 42?

24 is divisible (without remainder) by 4, 6, 8 and 24.  42 is divisible by 2, 21, 3, 14,  6, 7.  Your job is to identify the common factor found in each 24 and 42.

6 divides without remainder into both 24 and 42.  

Thus, you have     24        6*4
                             ----  =  -----------
                              42         6*7

Cancel the sixes.  This leaves you with 4/7, which cannot be reduced further.

Solve this equation for C

R=5(C/A-0.3)

Answers

isolate the variable by dividing each side by factors that don't contain the variable c=ar/5+0.3a

Answer:

[tex]C=0.2RA+0.3A[/tex]

Step-by-step explanation:

To solve the equation [tex]R=5(\frac{C}{A}-0.3)[/tex] for [tex]C[/tex] you must:

[tex]\mathrm{Switch\:sides}\\\\5\left(\frac{C}{A}-0.3\right)=R[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5\left(\frac{C}{A}-0.3\right)}{5}=\frac{R}{5}[/tex]

[tex]\mathrm{Simplify}\\\\\frac{C}{A}-0.3=\frac{R}{5}[/tex]

[tex]\mathrm{Add\:}0.3\mathrm{\:to\:both\:sides}\\\\\frac{C}{A}-0.3+0.3=\frac{R}{5}+0.3[/tex]

[tex]\mathrm{Simplify}\\\\\frac{C}{A}=0.2R+0.3[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}A\\\\\frac{CA}{A}=0.2RA+0.3A[/tex]

[tex]\mathrm{Simplify}\\\\C=0.2RA+0.3A[/tex]

6. A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line. A. (0, 5) B. (–3, 2) C. (1, 4) D. (1, 5)

Answers

The answer is A because if we stare with (-1,3) and go up by 1x, since the slope is 2, then 3 + 2 is 5 and we have (0,5). Hope this helps!

The correct answer is A. (0,5)

If g(x) =5x-3 and h(x) = sqrt x find (goh) (4)

Answers

The answer I got was 7

Answer:

(goh) (4) = 7

Step-by-step explanation:

g(x) =5x-3 and h(x) = sqrt x

[tex]g(x)= 5x-3[/tex] and [tex]h(x)= \sqrt{x}[/tex]

WE need to find (g o h)(4)

[tex](g o h)(x) = g( h(x))[/tex]

Plug in h(x) in g(x)

we know  [tex]h(x)= \sqrt{x}[/tex]

Plug it in g(x)

[tex](g o h)(x) = g( h(x))=g(\sqrt{x})[/tex]

Now plug in sqrt(x) in g(x)

[tex](g o h)(x) = g( h(x))=g(\sqrt{x})= 5\sqrt{x} - 3[/tex]

To find (g o h)(4), plug in 4 for x

[tex](g o h)(4) = g( h(4))=g(\sqrt{4})= 5\sqrt{4} - 3= 5(2)-3= 7[/tex]

(goh) (4) = 7

You can spend up to $35 on a shopping trip.
a. You want to buy a shirt that costs $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt.
b. You notice that the shirt is on sale for %30 off. How does this change the inequality?
c. Do you have enough money to buy the shirt that is on sale and a pair of pants that cost $23? Explain.

Answers

a. 35 greater than or equal to 14 + x
    35 - 14 = 21
    x = $21
b. If the shirt is 30% off it would cost $9.80
    14 x 0.3 = 4.2
    14 - 4.2 = 9.8
    35 is greater than or equal to 9.80 + x
    35 - 9.8 = 25.2
    x = $25.20
    This changes the inequality by making x greater than it was in part a
c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

Give a recursive algorithm matrix-chain-multiply(a, s, i, j) that actually performs the optimal matrix-chain multiplication for a chain of matrices

Answers

Sorry Isk this but at least I said hi
Final answer:

Matrix-chain-multiply is a recursive algorithm used to find the optimal matrix multiplication for a chain of matrices.

Explanation:

Matrix chain multiplication is a dynamic programming problem that aims to find the most efficient way to multiply a chain of matrices. We can solve this problem using a recursive algorithm called matrix-chain-multiply.

The algorithm takes four parameters: the matrix chain a, an array s to store the optimal split points, and indices i and j that determine the subchain to be multiplied. The base case of the recursive algorithm is when i and j are equal, in which case we simply return a[i].

For any other case, we iterate through all possible split points and recursively calculate the number of scalar multiplications required. We then select the split point that minimizes the required scalar multiplications. The overall complexity of the algorithm is O(n^3), where n is the number of matrices in the chain.

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What does 75,254 round up to of the 7 is underlined?

Answers

80,000 because if the number is 5 or above then the digit needs to be rounded one number up and converting the rest of the number in zeros. The numbers that are before that number.

What is the maximum value of 13.7 when rounding to the nearest tenth

Answers

14 because the decimal place has to be greater than 5. If it's above you round up, below you round down.

Antonio is ready to move out of his parent's house and live on his own. He found a great apartment that has all utilities included. His job as an assistant plumber requires him to have a car, but his hours are flexible enough to give him time on the weekends to have fun with his friends. What is the best way Antonio's budget can be modified to help him save enough for the $200 down payment and make the $500 monthly rental payment? Monthly Budget Old Budget New Budget Income Wages $1500 $1500 Expenses Food Cell Phone Savings Entertainment Car Expenses . $250 $175 $200 $200 $300 . $____ $____ $____ $____ $____ Net Income $375 $____ a. Antonio could keep his budget the same and hope he gets a raise at work. b. Antonio could reduce his monthly entertainment expenses by $100 to help pay the monthly rent. He could take $200 out of savings once for the deposit. c. Antonio could live at his parent’s house for one more month and save his net income. After one month of living at home, he would have enough additional money for the deposit and one year’s rent at the apartment. d. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.

Answers

the answer is d just did it on edgunity 

Answer:

d. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit.

Step-by-step explanation:

As you can see, Antonio´s expenses add up to a total of $1,125 a month

Expenses:

Food                    $250

Cellphone            $175

Savings                $200

Entertainment      $200

Car                        $300

Total:                     $1175

So he has $375 each month free to pay for the rent, he is $125 short of making it to the $500 monthly rent, so he only has to cut expenses for $125 dollars, by reducing his food expenses $75 and his entertainment expenses $50 he makes the $125 that he is lacking and is able to afford the $500 monthly rent.

At 3pm, Mikayla’s shadow was 1.2 meters long. Mikayla is 1.7 meters tall. She measures a tree’s shadow to be 7.5 meters. How tall is the tree?

Answers

2.5 meters is the answer
1.2 / 1.7 = 7.5 / x
cross multiply
(1.2)(x) = (1.7)(7.5)
1.2x = 12.75
x = 12.75 / 1.2
x = 10.625 meters <==

In the 2011 new york marathon 29867 men finished the race, and 16928 women finished the race. Each finisher was given a t-shirt. About how many men's shirts were given away? About how many women's shirts were given away? Explain how you found your answers.

Answers

30000 men's shirts and 17000 woman's shirts

29867 rounded is about 30000

16928 rounded is 17000

The number of t-shirts given to men is 29867 and the number of t-shirts given to women is 16928.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given that,

Each male finisher has given a t-shirt

So,

Number of men finishers = number of t shirt

Since,

number of t-shirts given to man = 29867

Similarly,

Each women's finisher has given a t-shirt

So,

Number of women's finishers = number of t-shirts

So,

number of t-shirts given to women = 16928

Hence "The number of t-shirts given to men is 29867 and the number of t-shirts given to women is 16928".

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Dominic earns 285 per week plus an 8% commission rate on all his sales. If dominic sell 4213 worth of merchandise in one week how much will his total earnings for the week be?

Answers

Final answer:

Dominic's total earnings for the week are calculated by adding his fixed salary of $285 to his commission, which is 8% of his sales. The commission on $4,213 worth of sales is $337.04, resulting in total earnings of $622.04.

Explanation:

The question requires us to calculate Dominic's total earnings for the week based on his fixed salary and the commission he makes from sales. Dominic earns a fixed amount of $285 per week plus an 8% commission from his sales. To find his total earnings, we need to calculate his commission from the $4,213 worth of merchandise he sells.

Firstly, we convert the 8% commission rate into decimal form by dividing by 100, which gives us 0.08. Then, we multiply the total sales amount by this decimal to find the commission amount:

Commission = Total Sales × Commission RateCommission = $4,213 × 0.08Commission = $337.04

Next, we add the commission to Dominic's fixed salary to get his total earnings for the week:

Total Earnings = Fixed Salary + CommissionTotal Earnings = $285 + $337.04Total Earnings = $622.04

Therefore, Dominic's total earnings for the week will be $622.04.

what is 2 2/3 x 15 plz help for my hw

Answers

the answer is 40.You should change the 2 2/3 to improper fraction and the times it with 15.
we can distribute
remember, a(b+c)=ab+ac

2 and 2/3=2+2/3

so 2 and 2/3 times 15=15(2+2/3)=15(2)+15(2/3)=30+(30/3)=30+10=40

A birds nest is 12 feet above the ground. A moles den is 12 inches below the ground. What is the difference in height of these 2 positions?

Answers

Final answer:

The difference in height between the bird's nest and the mole's den is 132 inches.

Explanation:

To find the difference in height between the bird's nest and the mole's den, we need to convert the measurements to the same units. The nest is 12 feet above the ground, which is equivalent to 12 x 12 = 144 inches above the ground. The mole's den is 12 inches below the ground. To find the difference, we subtract the depth of the mole's den from the height of the bird's nest: 144 - 12 = 132 inches.

Final answer:

To find the difference in height between the bird's nest and the mole's den, convert the measurements to the same unit and calculate the total difference.

Explanation:

To find the difference in height between the bird's nest and the mole's den, we need to convert the measurements to the same unit. Since the bird's nest is 12 feet above the ground and the mole's den is 12 inches below the ground, we can convert both measurements to inches. There are 12 inches in a foot, so the bird's nest is 12 x 12 = 144 inches above the ground. The difference in height is then 144 inches + 12 inches (negative sign since it's below the ground) = 156 inches.

what is the written form of 7.007?

Answers

Seven, and One Hundredth of the Seventh

The written form of 7.007 is "seven and seven thousandths." It is derived from the digit 7 representing the units place, and the last digit 7 representing the thousandths place.

The written form of 7.007 is "seven and seven thousandths." To understand the structure of this decimal:

The digit 7 before the decimal point represents the units place, or 'seven'.

The first digit 0 after the decimal point represents the 'tenths' place, which is zero in this case.

The second digit 0 after the decimal point represents the 'hundredths' place, which is also zero.

The third digit 7 after the decimal point is in the 'thousandths' place, which means we have seven thousandths.

Combining these, we get the phrase "seven and seven thousandths," which is the written form of the number 7.007.

8/9(54x−36)+2=−34(−40+16x)+90x

Answers

Answer:-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 78x from both sides.

Step 3: Add 30 to both sides.

Step 4: Divide both sides by -30.

x=−2

The expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Given ;

8/9(54x−36)+2=−34(−40+16x)+90x

First we need to use the distributive property

48x-32+2=30-12x+90

Now then add or subtract like terms,

48x-30=30+78x

Then subtract 48x

-30=30 +30x

Now, then -30

-60=30x

then multiply by 30

We get the value of x

x=−2

Therefore, the expression as 8/9(54x−36)+2=−34(−40+16x)+90x gives the value of x is -2.

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the product of m and 5, minus the quotient of r and 7

Answers

5m-7/r  would be the simplified answer.

How should the number 1.230 x 103 be properly expressed as a decimal?

Answers

Answer: 1,230
Usage of 10^x form is called scientific form and it helps much in science where the calculation unit can vary from very big into very small.
In this case, you are given the number 1.230 x 10^3  and asked to express it in decimal form. Then you just simply need to multiply the number with the 10^3. The calculation  would be: 1.230 x 10^3= 1.230 x 1000= 1230

Final answer:

To express [tex]1.230 \times 10^3[/tex] as a decimal, you move the decimal point three places to the right, resulting in the number 1230.

Explanation:

The question asks how the number [tex]1.230 \times 10^3[/tex] should be properly expressed as a decimal. To convert from scientific notation to decimal form, we multiply the numerical part of the expression by 10 raised to the power indicated by the exponent. In this case, 1.230 is multiplied by  [tex]10^3,[/tex] which means 1.230 needs to be multiplied by 1000 (because 103 = 1000). Therefore, we move the decimal point three places to the right (since the exponent is positive), transforming  [tex]1.230 \times 10^3[/tex] into 1230.

Suppose that two cards are dealt from a standard 52-card poker deck. let a be the event that the sum of the two cards is 8 (assume that aces have a numerical value of 1). how many outcomes are in a?

Answers

Case 1:  You have an Ace and a seven. 
There are 4 ways to pick 1 Ace out of 4. There are 4 ways to pick 1 seven out of 4.   -----> 4*4 = 16
There are 16 ways to be dealt an Ace and a seven.

Case 2:  You have a two and a six.
In the same way there are 4*4=16 ways to be dealt a two and a six.

Case 3: You have a three and a five.
In the same way there are 4*4=16 ways to be dealt a three and a five.

Case 4: You have 2 fours.
There are 6 ways to get 2 fours out of 4.  (4 choose 2)

Total number of outcomes = 16+16+16+6 = 54

how to graph the equation y= 2x + 3 and y= 2x -2?

Answers

Both equations are lines with a slope of 2. They will be parallel. They differ only in their y-intercept.

It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.

y = 2x + 3
Plot the point (0, 3) and the point (2, 7). Draw a line through those points.

y = 2x - 2
Plot the point (0, -2) and the point (2, 2). Draw a line through those points.

a painter works 37.5 hours one week. If she worked 5 days, how many hours did she work on average per day?

Answers

This means she worked 37.5 hours in 5 days, taking 2 days as a vacation.
To find the amount she worked in one day:

37.5/5
7.5 hours

Hope this helps!
37.5 divided by 5 would come out to be 7.5 hours

812,000,006 in expanded form

Answers

8x100,000,000+1x10,000,000+2,000,000+6x1
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