1. -2(n-6) 2. (5b-4)1/5 3. 2/3(6y+9) 4. 4t-7t 5. -18v squared + 23v squared 6. 13q-30q
Which system of linear inequalities is graphed?
a.
x<−3
{
y≤−x+1
b.
x<−3
{
y≤−x−1
c.
x≤−3
{
y≤−x−3
d.
x<−2
{
y≤−x−1
Curtís decided to go On a road trip to Canada. On the first day of his trip, he drove for 11 hours and traveled 693 miles. At what unit rate did he travel on the first day, in miles per hour
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.
Explanation: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.
please explain how to get the answer
Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space.
A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art.
Based on the tree diagram, what is the probability that the science project is first?
Answers:
three over six
four over six
two over six
one over six
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.
Aaron, Chris, Maria, Sonia, and Ling are on a class committee. They want to choose two members to present their conclusions to the class. How many different groups of two members can they form? a. 12 groups c. 8 groups b. 10 groups d. 15 groups
Describe two reasons for using a variable. Write your response using 4-5 complete sentences.
PLEASE HELP ME
is the product of 7 negative numbers and 8 positive numbers a positive number or a negative number
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.
Explanation: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.
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what is the distance bewteen -7 and 41
What is 1.5 to the third power?
How do you do exponents with decimals?
Please explain
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.
Explanation: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)
First multiplication: 1.5 × 1.5 = 2.25Second multiplication: 2.25 × 1.5 = 3.375So, 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.
Johnny makes $5.75 per hour at his work if he work six hours how much money will he earn
Write 0.45 as a fraction in simplest form
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.
Explanation: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 \(\frac{9}{20}\).
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Mayumi hikes 3 miles in 2 hours. Edwin hikes 4 miles in 3 hours. Who takes more time to complete a 12 mile hiking trail? How much more time
Edwin will take more time to complete a 12-mile hiking trail. By 1 hour.
Christina combined 18 ice cubes with 4 cups of fruit. how many ice cubes does Christina use per cup of Fruit?
Use place value to find the product to 40x8= how many tensx8
the melting point of mercury is -36 Fahrenheit and its boiling point is 672 Fahrenheit what is the difference between these two temperatures
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.
Explanation: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.
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What is the distance between points (10, 7) and (2, 7) ob a coordinate plane
6x+14x+5=5(4x+1) what is x in this equation
Given ABCDEF ≅ GHIJKL . What is the measure of ∠K ? Enter your answer in the box. m∠K = blank °
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!
During a football game, the visiting team was given 4 penalties for 15 yards each. What was the change in the visiting team’s field position due to these penalties?
Answer:-60
Step-by-step explanation:
They lost 60 yards due to penalties.
= -60
What is the length of each side of a cube whose volume is 8? Question 4 options: 1 2 3 4
is the pattern 2, 3, 5, 8, 12 geometric explain why
Atticus wants to buy of a square yard of wrapping paper. The paper costs $2.40 per square yard. How much will Atticus spend on the wrapping paper?
a.$1.60
b.$4.80
c. $7.20
d. $9.20
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.
what number is one thousand less than 921,438, explain how u know.
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.
1. Use both methods to find the distance between the points on the number line.
Method A: Count the number of units between the points.
Method B: Take the absolute value of the difference of the two numbers.
When taking the absolute value, show that the greater number or the lesser number can be the subtrahend (the number subtracted).
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.
Explanation:We will use two methods to find the distance between two points on a number line.
Method A: This involves simply counting the number of units between the two points. For example, if the points are 3 and 8 on the number line, you count the units between these points: 4, 5, 6, and 7. Thus, there are four units between the points 3 and 8.Method B: This method involves taking the absolute value of the difference of the two numbers. In the same example, to find the distance between 3 and 8, first subtract one from the other (e.g., 8 - 3 or 3 - 8). You get 5 or -5. Then take the absolute value of these numbers, which makes negative numbers positive, and therefore both 5 and -5 become 5. So the distance between the points 3 and 8 is 5.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.
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You are in line at an amusement park. You count 34 people in front of you. Each roller coaster fits 11 people. How many roller coasters must run before you can get on? Explain.
solving equations with variables on both sides
Which number has the greatest value
A traveler drove 65 mi on the first day and drove at an average speed of 70 mph for t hours on the second day. Which expressions represents the total distance traveled for both days?
A. 70 - 65t
B. 65-70t
C. 70+65t
D. 65+70t
Which number is an irrational number? A)3.5 B) 36 C)48 D) 37/100
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