Which equation can be used to solve the problem?

How many 12-packs of juice boxes contain a total of 84 juice boxes?

To find out how much vegetable oil Michelle will use, you need to multiply 2 1/2 by 2/3, giving us approximately 1 2/3 cups. The rest will be substituted with applesauce which is approximately 5/6 cups.

In this scenario, Michelle has a recipe that requires 2 1/2 cups of vegetable oil. She wants to use only 2/3 of the total vegetable oil, and use applesauce for the rest. To find out how much vegetable oil she will use, you need to multiply 2 1/2 by 2/3.

But before that, you need to convert 2 1/2 into an improper fraction, where 2 1/2 is equivalent to 5/2. So, the total amount of vegetable oil Michelle will use can be calculated as follows: (5/2) *(2/3) = 10/6 = 5/3 cups.

This means Michelle will use approximately 1 2/3 cups of vegetable oil. To find out the rest of the substitute in applesauce, simply subtract 1 2/3 from 2 1/2. This equals to approximately 5/6 cups of applesauce.

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Michelle will use 1 2/3 cups of vegetable oil for her recipe and replace the remaining amount with 5/6 cup of applesauce.

Michelle needs to calculate the amount of vegetable oil to use if she wants to use 2/3 of the amount specified in the recipe, and then find how much applesauce to replace the rest of the oil. The original recipe calls for 2 1/2 cups of oil. Firstly, calculate 2/3 of 2 1/2 cups:

Convert 2 1/2 to an improper fraction, which is 5/2.

Multiply 5/2 by 2/3 to find 2/3 of the mixture, which equals (5/2) × (2/3) = 5/3, or 1 2/3 cups.

This is the amount of vegetable oil Michelle will use. Now for the applesauce:

Subtract 1 2/3 cups from 2 1/2 cups to find the amount to replace with applesauce: 2 1/2 - 1 2/3 = 5/2 - 5/3 = 15/6 - 10/6 = 5/6.

Michelle will use 1 2/3 cups of vegetable oil and 5/6 cup of applesauce.

20 becuase 1/4 needs 4 to be 1 and multiply it by 5 and you get 20

You can make 20 patties. Hope this helped.

im going to say true hope this helps

At start ( t = 0 nanoseconds ) :

E ( t = 0 ) = 2.645 J

E ( t = 1 ) = 6.290 J

E ( t = 1 ) : E ( t = 0 ) = 6.290 : 2.645 = 2.37

Also:

E ( t = 2 ) : E ( t = 1 ) = 14.909 : 6.290 = 2.37

E ( t = 3 ) ; E ( t = 2 ) = 35.335 : 14.909 = 2.37

Therefore, the formula for calculating the energy of the system is:

E ( t ) = 2.645 * 2.37 ^ t

The answer is 4) exponential growth.

At start ( t = 0 nanoseconds ) :

E ( t = 0 ) = 2.645 J

E ( t = 1 ) = 6.290 J

E ( t = 1 ) : E ( t = 0 ) = 6.290 : 2.645 = 2.37

Also:

E ( t = 2 ) : E ( t = 1 ) = 14.909 : 6.290 = 2.37

E ( t = 3 ) ; E ( t = 2 ) = 35.335 : 14.909 = 2.37

E ( t ) = 2.645 * 2.37 ^ t

The answer is 4) exponential growth.

The answer would be 7+x*x the variables stand for the 2 unknown numbers and the product is the * symbol. Increased stands as the plus symbol. Hope this helps!

Answer: The expression for the given statement is [tex]7+(x\times y)[/tex]

Step-by-step explanation:

We are given a statement:

Seven increased by the product of two numbers

Let the first number be considered as 'x' and second number be considered as 'y'

'Increased' in the above statement means addition operation.

'Product' in the above statement means multiplication operation.

Hence, the expression for the given statement is [tex]7+(x\times y)[/tex]

The answer is B. The balance in bank b will be greater

Answer:

option B.

Step-by-step explanation:

given,

Bank A pays 5% simple interest

Bank B pays 2% compound interest

both Bank has initial deposit of $1000.

when we look at the table the growth in the 5 years are given.

but when we look for long period of time

company B will be have balance more than  company A after long period of time.

hence, the correct answer is option B.

To correct the rewritten equation 2x-y=5, isolate y on one side by moving the 2x term to the other side, resulting in y = 2x - 5.

To correct the rewritten equation 2x-y=5, we need to isolate y on one side of the equation. So, let's start by moving the 2x term to the other side, which requires subtracting 2x from both sides of the equation. This gives us -y = -2x + 5. Now we need to solve for y by multiplying both sides of the equation by -1 to get y = 2x - 5.

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Let a be an apple, b be a baseball, p be a pineapple and s be a shoe.

Then, from the balance, we model these equations:

p + b = s     ----- (1)

2s = 4a

Divide both sides by 2.

s = 2a

Substitute in (1), we get,

p + b = 2a   ----- (2)

Also,

p = a + b   -----  (3)

Substitute the above in (2), we get,

(a + b) + b = 2a

a + 2b = 2a

Subtract a from both sides.

a = 2b

Substitute in (3), we get,

p = 2b + b = 3b

Hence, 3 baseballs equal one pineapple.

The area of the rectangle is 20 square units.

To find the area of the rectangle with vertices A (-3, 0), B (3, 2), C (4, -1), and D (-2, -3), we need to find the lengths of the sides AB and BC.

The distance formula between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] in a coordinate plane is given by:

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Let's find the length of side AB:

AB = [tex]\sqrt{(3 - (-3))^2 + (2 - 0)^2}[/tex]

AB = [tex]\sqrt{(3 + 3)^2 + (2)^2}[/tex]

AB = [tex]\sqrt{6^2 + 2^2}[/tex]

AB = [tex]\sqrt{36 + 4}[/tex]

AB = [tex]\sqrt{40}[/tex] = [tex]\sqrt{4 \times 10}[/tex] = 2 [tex]\sqrt{10}[/tex]

AB = 2 [tex]\sqrt{10}[/tex]

Now, let's find the length of side BC:

BC = [tex]\sqrt{(4 - 3)^2 + (-1 - 2)^2}[/tex]

BC = [tex]\sqrt{(1)^2 + (-3)^2}[/tex]

BC = [tex]\sqrt{1 + 9}[/tex]

BC = [tex]\sqrt{10}[/tex]

Now, since opposite sides of a rectangle are equal in length, we have AB = CD and BC = AD.

Therefore, the area of the rectangle is the product of the lengths of its adjacent sides:

Area = AB × BC

Area = 2 [tex]\sqrt{10}[/tex] × [tex]\sqrt{10}[/tex]

Area = 2 [tex]\sqrt{100}[/tex]

Area = 2 × 10 = 20

Area = 20

The question is:

What is the area of rectangle ABCD with vertices A (-3, 0), B (3, 2), C (4, -1) and D (-2, -3)?

Final answer:

The common difference of the arithmetic sequence with the first term of 5 and the eleventh term of 125 is found to be 12, using the formula for the nth term of an arithmetic sequence.

Explanation:

The student is asking how to find the common difference in an arithmetic sequence where the first term is 5 and the eleventh term is 125. To solve this, we can use the formula for the nth term of an arithmetic sequence, which is given by:

Tn = a + (n - 1)d

where Tn is the nth term, a is the first term, n is the term number, and d is the common difference. In this case, we know that a = 5 and T11 = 125, and we want to find d.

So we can set up the equation 125 = 5 + (11 - 1)d, which simplifies to 125 = 5 + 10d. Solving for d, we get d = (125 - 5)/10 = 120/10 = 12. Hence, the common difference of the arithmetic sequence is 12.

You can use subtraction to figure out how many numbers there are from one endpoint to another. For example, in the set {1,2,3,4,5} we see 5 values. Subtract the large endpoint from the smaller and we get 5-1 = 4, then add 1 back on to get 4+1 = 5. The formula is a-b+1 where a > b.

Here's another example: {8,9,10}. Clearly we see 3 values. Using the subtraction rule mentioned above, we get a-b+1 = 10-8+1 = 2+1 = 3. This method is preferred if you have a tons of values you don't want to count out one at a time.

Such as this example {580, 581, ...., 993, 994}. We have a-b+1 = 994-580+1 = 415 meaning there are 415 items in the set {580, 581, ..., 993, 994}

That equation has no solutions.

Step one: 96.20-36.96=59.24

Step two: 59.24÷4=14.81

Answer: Each top cost $14.81

The answer would be

8/9x^7

Because all your doing is adding the exponents together and you get 7

The price per cup for a 2-gallon jug of water costing $9.92 is $0.31.

The question asks us to find the price per cup for a 2-gallon jug of water costing $9.92. First, we need to determine how many cups are in 2 gallons of water.

There are 16 cups in a gallon, so in 2 gallons, there would be 32 cups (16 cups/gallon x 2 gallons = 32 cups). Next, we calculate the price per cup by dividing the total cost by the number of cups.

Total cost of 2 gallons = $9.92

Number of cups in 2 gallons = 32 cups

Price per cup = Total cost / Number of cups

Price per cup = $9.92 / 32 cups

Price per cup = $0.31

If B is the midpoint of AC, then |AB| = |AC|.

|AB| = 3x + 2

|BC| = 5x - 10

Therefore we have the equation:

3x + 2 = 5x - 10     |subtract 2 from both sides

3x = 5x - 12      |subtract 5x from both sides

-2x = -12      |divide both sides by (-2)

x = 6

The measure of line segment AC is 40 units.

Given that, B is the midpoint of AC.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Since, B is the midpoint of AC, we get

AB=BC

⇒ 3x + 2 = 5x - 10

⇒ 5x-3x=2+10

⇒ 2x=12

⇒ x=6

So, AC=AB+BC

= 3x + 2 + 5x - 10

= 8x-8

= 8(x-1)

= 8(6-1)

= 40 units

Therefore, the measure of line segment AC is 40 units.

To learn more about the mid point of line segment visit:

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Answer:

2.3, 2.8, 3.01, 3.017, 3.10, 4.125, 4.2

Or [tex]2.3, 2\frac{4}{5}, 3.01, 3.017, 3.10, 4\frac{1}{8}, 4.2[/tex]

Step-by-step explanation:

The given numbers are [tex]4.2, 3.10, 4\frac{1}{8}, 3.01, 2.3, 2\frac{4}{5}, 3.017[/tex]

To arrange them we will covert the fractions into decimals first.

[tex]4.2, 3.10, 4.125, 3.01, 2.3, 2.8, 3.017[/tex]

Let's understand which number is greater among 2.3 and 2.8.

Here 2 is common in both the numbers but after decimal one number has 2 and other 8.

So number having greater number after decimal will be greater than the other one.

Therefore, out of 2.3 and 2.8, 2.8 will be greater.

Now we will arrange all the numbers from least to greatest.

2.3, 2.8, 3.01, 3.017, 3.10, 4.125, 4.2

Answer:

[tex]x\leq 22[/tex]

Step-by-step explanation:

In the attachment!

Answer:

No it doesn't represent a function since  x = 5  produces  y = 2  and  y = 3

So the answer is B. No, because one x-value corresponds to two different y-values.

the answer is the last one.

$50.00 monthly +195.00 along monthly bill

585÷3 +50.00 so 245.00 month give for 3 months

Answer:

$245

Step-by-step explanation:

His past due bill is 585 and he his made arrangements to pay in three months, to get how much he is to pay per month= 585/3= 195

Normal monthly bill=50

To satisfy the monthly arrangements and current monthly bill, he will need to pay= 195 +50 = $245 each month for the next 3 months.

it classifys triangles

a triangle? Is it a shape? If it is then it is a triangle.

In this scenario, plus 12 and 19 to find 31 therefore the difference is 31

Question: What is the solution to the inequality?

Answer: [[tex][\frac{20}{23} ,[/tex]∞)

i think there is 5 total units in the shampoo; 2 1/2 units of pineapple; 1/5(5) = 1 unit of banana; and 3/10(5) = 1 1/2 units of coconut. im not fully sure

so if im wrong correct me but have a blessed day/night

=)

The scents for each batch of shampoo are divided as follows: 1/2 pineapple, 1/5 banana, and 3/10 coconut. The real quantities will correlate with the total amount of shampoo in each batch.

To determine how much of each scent should be used in the shampoo, we will need to apply fractions. Here's a step-by-step guide:

The actual amount of each scent will vary depending on the total quantity of shampoo per batch.

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Step 1. Find the Greatest Common Factor (GCF)

GCF = 7x^2

Step 2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

7x^2(14x^4/7x^2 + 35x^2/7x^2)

Step 3. Simplify each term in parentheses

7x^2(2x^2 + 5)

To Factor out the GCF of 14x⁴+35x², we can rewrite it as 7x²(2x²+5).

To factor out the greatest common factor (GCF) of 14x⁴+35x², we can first identify the common terms in both monomials. In this case, we can see that both terms have a common factor of 7x².

To factor out the greatest common factor (GCF) from the expression 14x⁴ + 35x², we need to identify the highest power of x that can be divided evenly into both terms.

Let's break down each term and identify the factors of x:

14x⁴ = 2 * 7 * x * x * x * x

35x² = 5 * 7 * x * x

From the breakdown, we can see that the GCF is 7x² since it is the highest power of x that appears in both terms.

Now, we can factor out the GCF from both terms:

14x⁴ + 35x² = 7x² * (2x² + 5)

Therefore, the factored form of 14x⁴ + 35x², after factoring out the GCF, is 7x²(2x² + 5).

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