Michael drinks 355 milliliters of orange juice and puts 6 centiliters of syrup on his pancakes for breakfast. How many milliliters of liquid did he consume?

⁷/₁₀ kg

Given:

Question:

How many kilograms of cherries did they buy altogether?

The Process:

Since Linda bought [tex]\frac{1}{10} \ kg[/tex] of cherries less than Tiffany, we subtract [tex]\frac{1}{10} \ kg[/tex] from the [tex]\frac{2}{5} \ kg[/tex] of cherries Tiffany bought.

The least common multiple (LCM) of 5 and 10 is 10.

[tex]\boxed{ \ \frac{2}{5} - \frac{1}{10} = ? \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) - \frac{1}{10} \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) - \frac{1}{10} \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{3}{10} \ }[/tex]

Therefore, Linda bought [tex]\frac{3}{10} \ kg[/tex] of cherries.

Let us find out how many kilograms of cherries did they buy altogether.

[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]

[tex]\boxed{ \ \frac{2}{5} + \frac{3}{10} = ? \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) + \frac{3}{10} \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) + \frac{3}{10} \ }[/tex]

[tex]\boxed{\boxed{ \ = \bigg( \frac{7}{10} \ }}[/tex]

Thus, they bought [tex]\frac{7}{10} \ kg[/tex] of cherries altogether.

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Using Diagram

[tex]\boxed{Tiffany's cherries: \frac{2}{5} = \frac{4}{10}}[/tex]

[tex]Tiffany's cherries: \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex] or 4 of 10 units.

[tex]\boxed{Linda's cherries = \frac{1}{10}}[/tex] less than Tiffany's, so we subtract 1 from 4 units of Tiffany's, that is [tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]

[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]

[tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ} + \boxed{\circ}\boxed{\circ}\boxed{\circ} = \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]

Thus, the number of the two diagrams is 7 out of 10 units or [tex]\frac{7}{10} \ kg[/tex] of cherries.

Keywords: Tiffany, bought, 2/5, kg of cherries, Linda, 1/10, less than, how many, kilograms, they buy altogether, 3/10, 7/10, LCM

Answer:

15

Step-by-step explanation:

A new exhibit at a local zoo contains 12 ostriches. This is four more than twice the number of elephants. How many elephants are in the exhibit?

Answer: To make $2,670,474 you would need the following number of coins:

• 10,681,896 quarters

• 26,704,740 dimes

• 53,409,480 nickels and

• 267,704,740 penny's.

Step-by-step explanation:

Final answer:

The ordered pair (-1, -4) satisfies the second equation (7x - y = -3) but doesn't satisfy the first equation (x - y = 3), so it is not a solution to the system of linear equations.

Explanation:

When evaluating whether the ordered pair (-1, -4) is a solution to the system of equations x - y = 3 and 7x - y = -3, we must substitute x and y into both equations:

Given these results, the ordered pair (-1, -4) satisfies the second equation but not the first.

To find the reduction in Kerrin's weight as a percentage of his initial weight, we convert the weights to pounds, find the weight difference, then this difference is divided by the initial weight and multiplied by 100. Kerrin lost about 7.41% of his initial weight.

To calculate the reduction in Kerrin's weight as a percentage of his initial weight, we first need to convert the weights from stones and pounds into just pounds. At the start of the diet, Kerrin weighed 13 stone 9 pounds. As there are 14 pounds in a stone, this equates to (13 x 14) + 9 = 189 pounds. Three months later, he weighed 12 stone 7 pounds which equates to (12 x 14) + 7 = 175 pounds.

The total amount of weight lost is then calculated by subtracting his later weight from his starting weight which gives us 189 - 175 = 14 pounds. The change in weight as a percentage of the initial weight can then be calculated by dividing the weight difference by the initial weight, then multiply the result by 100 to give the percentage. The resulting calculation is (14 / 189) x 100 = 7.407407407407407 which is approximately 7.41%. Therefore, Kerrin lost about 7.41% of his initial weight after three months on the diet.

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The number 48 is 30 percent of the number 160.

We have to find 30% of what number is 48.

let the unknown number be x.

so, we can set up the equation as

30% of x= 48

30/100 x = 48

30x = 4800

Divide both side by 30

30x/30= 4800/ 30

Now, simplify

x= 120

Thus, 48 is 30% of 160.

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Answer:

Nonlinear

Step-by-step explanation:

I took the k12 test and I have proof.

Answer: A. 45 miles per hour

B. 135 miles

Step-by-step explanation:

Given: The distance traveled by a car at a constant rate is proportional to the time spent driving.

In the equation [tex]d=45t[/tex], d represents the distance (in miles) and t represents the time (in hours).

[tex]\Rightarrow\frac{d}{t}=45\text{ miles per hour}[/tex]

⇒ The constant of proportionality=45 miles per hour.

Also, the distance traveled by car in 1 hour=45 miles

⇒ The distance traveled by car in 3 hours=[tex]3\times45=135\text{ miles}[/tex]

∴ A car will travel 135 hours in 3 hours.