Write a real-life problem that involves dividing a decimal by a whole number

Answer:

The answer is option A : 4 gallons.

Step-by-step explanation:

A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1/1.2 cups of granulated sugar, and 4 cups of frozen raspberries.

Now 10 servings need = 2 cups of water.

And 320 servings will need = [tex]\frac{2}{10}\times320= 64[/tex] cups of water.

Now, 1 cup = 0.0625 gallons

So, 64 cups are = [tex]0.0625\times64=4[/tex] gallons

Therefore, answer is option A : 4 gallons.

A vertical number line resembles a thermometer. It emphasizes that we count up in the number system.  Vertical number lines are just alternative way to look at the numbers.

This is commonly used in adding or subtracting

For example: 5 – 3

5 is the start, the sign determines whether you go down or go up, the minus sign denotes down then so the last number denotes how many steps you are going down where you land is the answer. The same goes with addition but instead of down, the plus sign denotes going up.

Answer:

Answer: Using the graph to find the solution of the given equation, the solutions are:

Option A.) -4 and 2

Solution:

The solutions in the graph are the values of "x" where the curves intercept. In this case the curves intercept at x=-4 and at x=2, then the solution of the equation are -4 and 2

Adding and subtracting decimals are easy to understand you are just adding a decimal point

For example, 2 plus 2 equals 4

2.0 plus 2.0 equals 4.0

The y-intercept means that Karma was given $60 for her birthday. Therefore, option C is the correct answer.

The given equation that models the given situation is y=75x+60.

The y-intercept of a graph is the point where the graph intersects the y-axis.

We know that the x-coordinate of any point on the y-axis is 0. So the x-coordinate of a y-intercept is 0.

Now, Graph the line using the slope and y-intercept, or two points.

Slope: 75

y-intercept: (0, 60)

The coordinates to plot the graph is (0, 60) and (1, 135).

Here, in the graph, if we then look at the y-intercept we can see that the function crosses the y-axis at a value of 60.

Therefore we can safely say that the y-intercept means that Karma was given $60 for her birthday.

The y-intercept means that Karma was given $60 for her birthday.

Therefore, option C is the correct answer.

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To create the ideal blend, the merchant should combine 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's call the amount of coffee worth $3.00 per pound "x" and the amount of coffee worth $3.25 per pound "y".

We know that the total amount of coffee is 200 pounds, so we can write the equation:

x + y = 200

We also know that the total cost of the coffee is $3.20 per pound times 200 pounds, or $640. So we can write another equation based on the cost:

3.00x + 3.25y = 640

Now we have two equations with two variables, so we can solve for x and y.

Let's start by solving for x in the first equation:

x + y = 200

x = 200 - y

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

3.00x + 3.25y = 640

3.00(200 - y) + 3.25y = 640

600 - 3.00y + 3.25y = 640

0.25y = 40

y = 160

So we know that the merchant needs to use 160 pounds of coffee worth $3.25 per pound.

We can use the first equation to solve for x:

x + y = 200

x = 40

So the merchant needs to use 40 pounds of coffee worth $3.00 per pound.

Therefore, the merchant should use 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound to make the desired blend.

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The Standard form of number is,

⇒ 0.1588

We have to give that,

Scientific notation is,

⇒ 1.588 × 10⁻¹

Since Scientific notation is a way of writing very large or very small numbers.

For example; 230,000,000 can be written in scientific notation as

2.3 x 10⁸.

Hence, the Standard form of number is,

⇒ 1.588 × 10⁻¹

⇒ 1.588 / 10

⇒ 0.1588

Therefore, The solution is, 0.1588

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The product of 7⋅(−4)⋅(−6) from the information illustrated is D. 168.

It should be noted that the product of a number simply means the multiplication of the numbers that are given.

This is quite a straightforward question. The product will be:

= 7⋅(−4)⋅(−6)

It should be noted that (-) × (-) = +

Therefore, 7⋅(−4)⋅(−6)

= 7 × 4 × 6

= 168

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The ages of  Edna, Ellie, and Elsa are 35, 36, 37 respectively.

For any integer say 'a', its consecutive integers will be → (a + 1), (a + 2), (a + 3), .... , (a + n).

Given is the sum of ages of Edna, Ellie, and Elsa is 108.

Assume that the age of Edna is x.

Then the ages of Ellie and Elsa will be (x + 1) and (x + 2) respectively.

From the question we can write -

x + (x + 1) + (x + 2) = 108

3x + 3 = 108

3x = 105

x = 35

So, we can write -

Age of Edna = 35

Age of Ellie = 36

Age of Elsa = 37

Therefore, the ages of  Edna, Ellie, and Elsa are 35, 36, 37 respectively.

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