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:
what is the value represented by the digit 2 after 298 is divided by 10?
Answer: the answer is 20
Step-by-step explanation:
Charlie is making a mosaic picture using 1 centimeter square tikes
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.
Estimate each quotient 32.17÷7=_ $175.32÷3=_
Simplify this expression 5b-(5b-2)
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.
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.
Complete all show all your work
40÷5 (2+11)=
when is estimating an effective tool
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:
What is 8.461785 rounded to the nearest hundredth tenths
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.
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?
2.03+7.89 estimate Please Help Asap
what is 34 1/2 as a decimal
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.
what is 32 oz divided by $5.98
the lake side marina charges a $35 rental fee for a boat in addition to charging $15 an hour for usage.The total cost y of renting a boat for x hours can be represented by the equation y=15x+35? graph the equation?
interpret the slope and the y-intercept?
Answer:
Slope is 15 and y-intercept is 35.
Step-by-step explanation:
Given : The lake side marina charges a $35 rental fee for a boat in addition to charging $15 an hour for usage.
The total cost y of renting a boat for x hours can be represented by the equation [tex]y=15x+35[/tex]
To find : Graph the equation and interpret the slope and the y-intercept?
Solution :
The general slope form is [tex]y=mx+c[/tex]
where, m is the slope and c is the y-intercept.
On comparing the equation [tex]y=15x+35[/tex]
The slope is m=15.
The y-intercept is c=35.
Now we plot the equation [tex]y=15x+35[/tex] in graphing tool.
The equation is in green line passing thorough (35,0) and (-2.333,0).
Refer the attached figure below.
Answer:
y=15x+35
Step-by-step explanation:
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.
Indy has x erasers and y pencils. How many erasers and pencils does Indy have?
How to solve -3a + 52a
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.
hana is making breakfast for her family. the pancakes recipes require 8 tablespoons of butter and 4 eggs . the recipe makes 16 pancakes. what is the ratio of eggs used to pancakes made?
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?
What divided by a number equals 100
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?
Jeandre said |3| equals |-3|. Is Jeandre correct? Use a number line and words to support your answer.
Jeandre is correct because the absolute value of a number represents its distance from zero on a number line. Both |3| and |-3| are three units away from zero, therefore they have the same value of 3.
Jeandre is correct when he says that |3| equals |-3|. In mathematics, the absolute value of a number is the distance of that number from zero on a number line, regardless of direction. Both 3 and -3 are three units away from zero. Therefore, the absolute value of 3 is 3, and the absolute value of -3 is also 3.
To visualize this on a number line: if you start at zero and move three units to the right, you reach +3. If you move three units to the left of zero, you reach -3. Since absolute value is concerned with distance only and not direction, both |3| and |-3| represent a distance of 3 units from the origin, hence both have a value of 3.
The equals sign is used to indicate that both expressions are the same in value. Additionally, the rules of algebraic signs help to understand that the negative sign indicates direction on a number line, but does not affect the absolute value.
60 twenty-fives minus 1 twenty-five
What times 5/6 equals 10/3