write division problem that will have a 2-digit quotient and another division problem that will have a 3-digit quotient. Explain how you chose the divisor and dividends.

Gertrude's paycheck last week was $400.

To find the amount of Gertrude's paycheck last week, we can set up an equation using the information given. Let's assume her paycheck amount is represented by 'x'. According to the problem, 10% of her paycheck, or 0.10x, is taken out for taxes. This amount is given as $40. So we can write the equation as 0.10x = 40. To solve for x, we divide both sides of the equation by 0.10: x = 40 / 0.10 = $400.

What times what equals 46 is 2 times 23, or 2 x 23 = 46.

We have,

To find what times equal 46, we can look for pairs of numbers that, when multiplied together, result in 46.

We can start by listing the factors of 46:

1 x 46 = 46

2 x 23 = 46

From these factor pairs, we can see that 2 and 23 are the numbers that multiply to 46.

Therefore,

What times what equals 46 is 2 times 23, or 2 x 23 = 46.

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Answer:

Hence, x = 2.

Step-by-step explanation:

Given  : Given: 2x + 11 = 15 .

To find : Prove: x = 2.

Solution : We have given   2x + 11 = 15 .

On subtracting both sides by 11

2x = 15 - 11

2x = 4

On dividing both sides by 2

x = 2

Hence, x = 2.

Therefore,  Hence, x = 2.

Answer:

[tex]6\frac{3}{4}[/tex] pieces.

Step-by-step explanation:

Let x represent number of pieces.

The amount of wax used in making x pieces would be [tex]\frac{2}{3}x[/tex].

We have been given that a candle maker has 4 1/2 pounds of wax. We can represent this information in an equation as:

[tex]\frac{2}{3}x=4\frac{1}{2}[/tex]

[tex]\frac{2}{3}x=\frac{9}{2}[/tex]

[tex]\frac{3}{2}*\frac{2}{3}x=\frac{3}{2}*\frac{9}{2}[/tex]

[tex]x=\frac{27}{4}[/tex]

[tex]x=6\frac{3}{4}[/tex]

Therefore, the candle maker can make [tex]6\frac{3}{4}[/tex] pieces.

The statement is sometimes true. If two triangles have congruent angles, they are similar but not necessarily congruent.

The statement is sometimes true. If △ABC has angles that measure 10° and 40°, and △DEF has angles that measure 40° and 120°, we can determine their congruence by comparing their angles. If two triangles have congruent angles, they are similar but not necessarily congruent. Therefore, △ABC and △DEF are similar triangles but not necessarily congruent.

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The integral of the vector field 2 (6t i − t3 j + 2t3 k) from 0 to t can be broken down into three separate integrals for each component, yielding the resulting integral vector of (6t^2)i - (0.5t^4)j + (t^4)k.

The integral you're asking about is a vector field integral, which comes up primarily in physics-related problems. The integral of a vector field, in this case, 2 (6t i − t3 j + 2t3 k) with respect to time, can be broken down into three separate integrals, each corresponding to a different component.

To solve, you would perform each integral separately:

Combine these answers to yield the integral vector (6t^2)i - (0.5t^4)j + (t^4)k as the solution. Please remember to always check your calculations to ensure accuracy!

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Answer:

Step-by-step explanation:

not sure if i am doing it right help please?

3a^2+a^2+a+6

3a^4+a+6

101 rounded to the nearest ten is 100.

Rounding off of a number is defined as the simplification of the number by keeping the value of the number same but is made closer to the next number.

Rounding can be done for whole numbers as well as decimals.

Here the given number is 101.

101 is between 100 and 110. We can round it to either of these two.

We have to round it to the nearest ten.

The number in the tens place is 0.

Look at the number next to tens place, which is at ones place.

The digit at ones place is 1, which is less than 5.

So keep the number in tens place as such and add 0 to ones place.

So the number is 100.

Hence 101 when rounded to nearest ten is 100.

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The above answer is correct, this answer I am sure is correct, I hope you can adopt.

Answer:

Her old house is 3000m+457m = 3457m from her new house.

Step-by-step explanation:

Conversion of units problems can always be modeled as a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In the case of a conversion of units problem, the measures are:

- the value in one unit

- the value in another unit

As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.

The problem states that Cheryl's new house  is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:

1km - 1000m

3km - xm

x = 1000*3

x = 3000m

Her old house is 3000m+457m = 3457m from her new house.

Answer:

The first one is

1.) D)How many boxes of nectarines can you buy with $27.95 if one box costs $5.59?

2.) is B

3.) D

Step-by-step explanation:

Answer:

150 Degrees

Step-by-step explanation:

We have to find one and two third of a right angle.

That is we have to basically find [tex]1\displaystyle\frac{2}{3}\text{ of a right angle.}[/tex]

The measure of a right angle in degrees is 90 degrees.

[tex]1\displaystyle\frac{2}{3}\times 90[/tex]

We convert the mixed fraction into unlike fraction

[tex]\displaystyle\frac{5}{3}\times 90 = 150[/tex]

Thus, one and two third of a right angle is 150 degrees or [tex]150^\circ[/tex]

If he attempted 24 passes, he completes 21 pass.

The numerical association of two values that shows how frequently one value includes or is contained inside another is called ratio.

Given, The ratio of a quarterback completed passes to attempted passes is 7 to 8.

If he attempted 24 passes.

To find the number of passes, he completes:

24 x 7/8

= 3 x7

= 21

Hence, he completes 21 passes.

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Answer:

A

Step-by-step explanation:

ur welcomes

To find the outside temperature, add the difference of 183.6°F to the dry ice temperature of -109.3°F, yielding an outside temperature of 74.3°F.

The student is asking to find the outside temperature given that dry ice temperature is -109.3°F and that the outside temperature is 183.6°F higher than the dry ice. We can solve this by adding the temperature difference to the dry ice temperature.

Let's denote the outside temperature as T.

T = (-109.3°F) + 183.6°F

Now, let's perform the addition:

T = 74.3°F

Therefore, the outside temperature is 74.3°F.

Final answer:

The outside temperature can be calculated by subtracting 183.6°F from the temperature of dry ice (-109.3°F).

Explanation:

The outside temperature can be calculated by adding the temperature difference to the temperature of dry ice. The temperature difference is given as 183.6°F less than the outside temperature, which means we need to subtract 183.6°F from the temperature of dry ice (-109.3°F). So, the outside temperature would be -109.3°F + (-183.6°F) = -293.9°F.