Julie has three children whose ages are consecutive odd integers . If x represents the youngest child's age, which expression represents the sum of her children's ages?
Indy has x erasers and y pencils. How many erasers and pencils does Indy have?
60 twenty-fives minus 1 twenty-five
What would 40/8 as a mixed number be.
[tex]\( \frac{40}{8} \)[/tex] simplified as a mixed number is 5.
To convert the improper fraction [tex]\( \frac{40}{8} \)[/tex] to a mixed number, we divide the numerator (40) by the denominator (8) to find the whole number part and the remainder.
[tex]\[ \frac{40}{8} = 5 \frac{0}{8} \][/tex]
So, [tex]\( \frac{40}{8} \)[/tex] as a mixed number is [tex]\( 5 \frac{0}{8} \)[/tex].
However, we can simplify the mixed number because the numerator and denominator have a common factor of 8.
[tex]\[ 5 \frac{0}{8} = 5 \][/tex]
So, [tex]\( \frac{40}{8} \)[/tex] simplified as a mixed number is 5.
What is 8.461785 rounded to the nearest hundredth tenths
2. In the troposphere, as altitude increases, air temperature drops at a relatively uniform rate. At the top of the troposphere, an average depth of 11 km, the average temperature is -56.5°C. At the base of the troposphere, 0 km, the average temperature is 15°C. In a linear model of this situation, which of the following statements applies? An increase of 1 km in altitude corresponds to a increase of 3.8°C in temperature. An increase of 1 km in altitude corresponds to a decrease of 3.8°C in temperature. An increase of 1 km in altitude corresponds to a increase of 6.5°C in temperature. An increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature.
Answer: An increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature.
Step-by-step explanation: In a linear model of this situation, the y-intercept represents the temperature at the base of the troposphere, 15°C.
The rate of change, or slope, can be determined using two values: temperature at the base, (0 , 15), and temperature at the top, (11 , −56.5).
The linear model of this situation is y = 15 − 6.5x, where x represents the height of the troposphere, in kilometers.
The rate of change, or slope, indicates that an increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature. Hope this helps
Final answer:
In the troposphere, an increase of 1 km in altitude corresponds to a temperature decrease of 6.5°C, based on the given data of 15°C at sea level and -56.5°C at the top of the troposphere (11 km).
Explanation:
The question concerns the change of air temperature with altitude in the troposphere. From the information provided, we know that the temperature at the base of the troposphere (0 km) is 15°C and at the average top (11 km), it's -56.5°C. To find the rate at which temperature decreases with altitude, we can use the given temperatures at two different altitudes to calculate the lapse rate.
The difference in temperature from the base to the top is 15°C - (-56.5°C) = 71.5°C. Over a distance of 11 km, this gives us a lapse rate of 71.5°C / 11 km = 6.5°C/km. Therefore, an increase of 1 km in altitude corresponds to a decrease of 6.5°C in temperature.
Justin is considering two websites for downloading music.The costs are detailed here. Website 1: a yearly fee of $30 and $1.50 for each download Website 2: $2 for each download What is a system of equations to represent the costs for one year? Express your equations in the form of y=mx+by=mx+b where x is the number of downloads for the year and y is the total cost for the year.
when is estimating an effective tool
Complete all show all your work
40÷5 (2+11)=
HELP PLZ ASAP!!!!!!!!!!!!!!
Select the favorable outcomes for rolling a sum of seven.
A. (5-1) (5-2) (5-3) (5-4) (5-5) (5-6)
B. (1-1) (2-2) (3-3) (4-4) (5-5) (6-6)
C. (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)
D. (1-1) (1-2) (1-3) (2-1) (2-2) (3-1)
The correct set of favorable outcomes for rolling a sum of seven with two dice is Option C: (1-6) (2-5) (3-4) (4-3) (5-2) (6-1), as each of these pairs adds up to the target sum of seven.
The student is asking which of the given sets of pairs (representing the outcomes of rolling two dice) would result in a sum of seven. The correct choice is:
Option C: (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)
Each pair of numbers in Option C adds up to seven, which are the favorable outcomes for rolling a sum of seven with two dice. The sum of the numbers in each pair from the other options does not equal seven. Therefore, the favorable outcomes for rolling a sum of seven on two dice are those where the first and second numbers add up to seven, as correctly listed in Option C.
What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=13x−1 ?
The equation of a line in slope-intercept form that passes through (6, 10) and is parallel to y = 13x - 1 is y = 13x - 68, which represents the same slope with a different y-intercept.
The student is looking for the equation of a line in slope-intercept form that passes through the point (6, 10) and is parallel to another line with the equation y = 13x - 1. Since parallel lines have equal slopes, the slope of our unknown line will also be 13, the same as the given line. To find the y-intercept of the new line, we can use the slope-intercept form equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Here's how you can find the equation step by step:
Start with the slope-intercept form: y = mx + b.Insert the slope of the line (13), so the equation becomes y = 13x + b.Now, insert the point (6, 10) into this equation and solve for b. Substituting the values gives us 10 = 13(6) + b.Solve for b: b = 10 - 78, which simplifies to b = -68.We now have the slope (13) and the y-intercept (-68), so the final equation is y = 13x - 68.Therefore, the equation of the line that passes through the point (6, 10) and is parallel to y = 13x - 1 is y = 13x - 68.
Simplify this expression 5b-(5b-2)
The distance from the park to the grocery store is 0.9 miles. Ezra runs 8 tenths of the distance and walks the rest of the way. How far does Ezra run from the park to the grocery store?
Marcus has three dowels with the lens shown in the table complete the table to give each length in inches feet and yards
Answer:WHY U LOOK AT ME THERE IS AN EXPERT
Step-by-step explanation:
Barbara bought 5 amusement park tickets at a cost of $30.If she bought 7 tickets,how much would it cost?
Answer:
30 / 5 = 6$ (cost for 1 ticket)
6 x 7 = 42$ (cost for 7 tickets)
To find the cost for 7 amusement park tickets, divide the original cost by the number of tickets to find the price per ticket ($6) and then multiply by 7 to get the total cost ($42).
The student asks how much it would cost to buy 7 amusement park tickets if 5 tickets cost $30. This is a proportional relationship problem, where the cost of tickets is directly proportional to the number of tickets purchased. To find the cost for 7 tickets, we first determine the cost of 1 ticket by dividing the total cost by the number of tickets (30 divided by 5 equals 6). Since each ticket costs $6, we then multiply this by 7 to find the total cost for 7 tickets (6 times 7 equals 42). Thus, Barbara would pay $42 for 7 tickets.
What times 5/6 equals 10/3
In a certain area,there are 35 houses to 55 businesses. Write the ratio of houses to businesses as a fraction I'm simplest form. Then explain its meaning.
8. In a recent presidential election, Ohio had 18 electoral votes. This is 20 votes less than Texas had. How many electoral votes did Texas have?
If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work and provide your answer in scientific notation.
Answer:
7.4052 x 10^8
Step-by-step explanation:
Select Is a Function or Is not a Function to correctly classify each relation.
{(3, 2), (6, 4), (9, 6), (12, 8)} is a function
{(2, 3), (2, 5), (3, 6), (9, 4)} is not a function
{(2, 4), (6, 3), (4, 8), (6, 6)} is not a function
{(3, 4), (5, 2), (6, 8), (6, 4)} is not a function
ExplanationTo test if a relation is a function from a set of ordered pairs, you just need to check if each element of the domain is paired with exactly one element of the range. Remember that the domain is all the x-values (first points of each ordered pairs) and the range is all the y-values (second points of each ordered pairs).
Let's test each one of our relations:
{(3, 2), (6, 4), (9, 6), (12, 8)} each element of the domain is paired with exactly one element of the range, so this one is a function.
{(2, 3), (2, 5), (3, 6), (9, 4)} 2 in the domain is paired with both 3 and 5 in the range, so this one is not a function.
{(2, 4), (6, 3), (4, 8), (6, 6)} 6 is paired with both 3 and 6, so this one is not a function either.
{(3, 4), (5, 2), (6, 8), (6, 4)} 6 is paired with both 8 and 4, so this one is not a function either.
Answer:
Hey man! This is the answer for anyone if they come across this problem! Hopefully it helps!
a cellphone cost $120 dollars. the price is reduced by 30% for a sale. how much is the savings
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Which graph is an example of a function?
A)
B)
C)
D)
2.03+7.89 estimate Please Help Asap