90=20+70 use the distributive property and the GCF of 20 and 70 to write another related expression for 90. Could you write another expression with a different common factor?

The product of 7 negative numbers and eight positive numbers will be harmful. This is because the result of multiplying an odd number of negative numbers is negative. The outcome remains negative when this negative number is multiplied by positive numbers.

The result of multiplying even numbers of negative numbers will be positive while multiplying odd numbers of negative numbers will be negative. In this case, as there are seven negative numbers, the multiplied result of these seven will be negative. However, when you multiply this negative number by eight positive numbers, the final impact will be negative since any number (except 0), when multiplied by a negative number, results in a negative number. So, the product of 7 negative numbers and eight positive numbers will be negative.

https://brainly.com/question/17865861

#SPJ2

The number one thousand less than 921,438 is 920,438.

Here's how we know:

Subtracting 1,000:

We want to find a number that is 1,000 less than 921,438. Subtracting 1,000 from 921,438 will give us the desired number.

921,438 - 1,000 = 920,438

Therefore, 920,438 is one thousand less than 921,438.

The explanation is as given:

We can think in terms of place values:

921,438 has a 1 in the thousands place.

Subtracting 1,000 (which has a 1 in the thousands place and zeros elsewhere) only affects the thousands place of 921,438.

The difference in the thousands place becomes 0(1 - 1), resulting in 920,438.

Answer:-60

Step-by-step explanation:

They lost 60 yards due to penalties.

= -60

Calculating 1.5 to the third power involves multiplying the number by itself two additional times, which equals 3.375. This process of handling exponents applies to decimals just as it does for whole numbers, although additional rules apply when dealing with scientific notation involving powers of 10.

The question asks about calculating the value of 1.5 to the third power. To do exponents with decimals, the same rules apply as with whole numbers. We multiply the decimal number by itself for the number of times indicated by the exponent. Cubing, or raising a number to the third power, means multiplying the number by itself twice more (a total of three times).

Here's how it is done step by step for 1.5 to the third power (1.5³)

So, 1.5 to the third power equals 3.375.

If we are working with an exponent that includes a power of 10, such as 10², this indicates that the decimal is shifted two places to the right, making 1 × 10² equal to 100. However, in our case with 1.5³, we simply perform the multiplications as shown above without the need to shift the decimal place.

Another consideration in handling exponents with decimals is the application of rules for multiplying exponentiated quantities and shifting the decimal point based on the power of 10. This is particularly useful when dealing with scientific notation, which expresses large or small numbers in a more manageable format.

Curtis traveled at an average speed of 63 miles per hour on the first day of his road trip by dividing the total distance traveled, 693 miles, by the number of hours driven, which was 11.

To calculate the unit rate at which Curtis traveled in miles per hour on the first day, we divide the total distance traveled by the total time spent traveling. Curtis drove 693 miles in 11 hours, so the unit rate is 693 miles divided by 11 hours.

The calculation for miles per hour is as follows: 693 miles \/ 11 hours = 63 miles per hour (mph). Thus, Curtis traveled at an average speed of 63 mph on the first day of his road trip.

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space.

According to the tree diagram the elements of sample space are

1. art - math - science

2. art - science - math

3. science - art - math

4. science - math - art

5. math - art - science

6. math - science - art

Total number of possible outcomes is 6.

We need to find the probability that the science project is first. So, the favorable outcomes are

1. science - art - math

2. science - math - art

Total number of favorable outcomes is 2.

The probability of arranging the the science project first is

[tex]P=\frac{\text{Favorable outcomes}}{\text{Total possible outcome}}[/tex]

[tex]P=\frac{2}{6}[/tex]

[tex]P=\frac{1}{2}[/tex]

The probability of arranging the the science project first is 2/6 or it can be written as 1/3. Therefore the correct option is 3.

To write 0.45 as a fraction, express it as 45/100 then divide by the greatest common divisor, which is 5, to get 9/20 in simplest form.

To write 0.45 as a fraction in simplest form, we can start by recognizing that 0.45 means 45 hundredths, which is the same as 45 over 100. This can be written as:

\\[0.45 = \frac{45}{100}\\]

To simplify the fraction, we look for the greatest common divisor (GCD) that both the numerator (45) and the denominator (100) share. In this case, the GCD is 5. To get a fraction in simplest form, we divide both numerator and denominator by this number:

\\[\frac{45 \div 5}{100 \div 5} = \frac{9}{20}\\]

So, the fraction in simplest form of 0.45 is \(\frac{9}{20}\).

https://brainly.com/question/35123994

#SPJ3

Hello!  Let me help!

Answer: 114

Step-by-step explanation: So, I gave you an answer, but how is it right?  If you see between ABCDEF and GHIJKL there is ≅.  That means congruent, and or equal (identical.)  

So, looking at ABCDEF, the fifth letter is E.  Then look at the other one, the fifth one is K. Which, K is what we're trying to figure out. Well, if the angles are congruent all letters are equal to the other letters.  So, Look for E on the left-hand shape.  WOAH! What does it show over top of the letter?! Oh! It's 114.  Which means.

The answer means E ≅ K. Which also means.  E ≅ 114. and!  114≅K.

Congrulations for understanding how to do this!

To find the distance between two points on the number line, we can use two methods. The first is by counting the number of units between the two points, and the second is by taking the absolute value of the difference of the two points. Both methods lead to the same result.

We will use two methods to find the distance between two points on a number line.

From both methods, we can see that the distance between the two points on the number line, whether you count the units or take the absolute value of their difference, is the same.

https://brainly.com/question/16901376

#SPJ2

Final answer:

Atticus will spend $4.80 on the wrapping paper.

Explanation:

To find out how much Atticus will spend on the wrapping paper, we need to multiply the cost per square yard by the number of square yards desired.

Given that Atticus wants to buy a square yard, we multiply by to get.

Therefore, Atticus will spend $4.80 on the wrapping paper, which corresponds to option b.

Answer:

708 Fahrenheit

Step-by-step explanation:

672 + 36 = 708

You add the 36 because it is a negative number and since you are trying to find the difference, for every negative number you have to add 1.

The difference between the melting and boiling points of mercury, -36 Fahrenheit and 672 Fahrenheit respectively, is 708 degrees Fahrenheit.

To find the difference between two temperatures, you simply subtract the lower temperature from the higher temperature. In this case, we have the boiling point of mercury at 672 degrees Fahrenheit and the melting point at -36 degrees Fahrenheit. So, we subtract -36 from 672 as follows:

672 - (-36) = 708 Fahrenheit.

The difference in temperature between the boiling and melting points of mercury is 708 degrees Fahrenheit.

https://brainly.com/question/17864807

#SPJ3

Edwin will take more time to complete a 12-mile hiking trail. By 1 hour.

Answer:

None of them

Step-by-step explanation:

We have to find the irrational number

Rational number:

The number which can be expressed in [tex]\frac{p}{q}[/tex] form  are called rational number,where [tex]q\neq 0[/tex],p and q are integers are

Irrational number:

The number which can not be expressed in [tex]\frac{p}{q}[/tex] form  are called irrational number.

A)3.5

It can be written as

[tex]\frac{35}{10}[/tex]

Where 35 and 10 are both integers number

By definition of rational number

3.5 is a rational number

B)36

[tex]\frac{36}{1}[/tex]

36 and 1 are both integers number

By definition of rational number

36  is a rational number

C)48

[tex]\frac{48}{1}[/tex]

48 and 1 are both integers number

By definition of rational number

48  is a rational number

D)[tex]\frac{37}{100}[/tex]

37 and 100 are both integers number

By definition of rational number

[tex]\frac{37}{100}[/tex]  is a rational number