what is 34 1/2 as a decimal
Simplify this expression 5b-(5b-2)
2. There are 14 bees in the hive and 17 bees in the garden. How many bees are there?
By adding the 14 bees in the hive to the 17 bees in the garden, we determine there are a total of 31 bees.
Explanation:To find out how many bees there are in total, we need to add the number of bees in the hive to the number of bees in the garden. The problem states that there are 14 bees in the hive and 17 bees in the garden. Adding these two quantities together gives us:
14 bees in the hive + 17 bees in the garden = 31 bees in total.
So, there are 31 bees altogether.
Final answer:
To find the total number of bees, you need to add the number of bees in the hive to the number of bees in the garden. The total number of bees is 31.
Explanation:
To find the total number of bees, you need to add the number of bees in the hive to the number of bees in the garden. In this case, there are 14 bees in the hive and 17 bees in the garden.
To find the total number of bees, add the number of bees in the hive and the number of bees in the garden: 14 + 17 = 31.
Therefore, there are 31 bees in total.
How to solve -3a + 52a
Last year, Hong opened an investment account with $6200 . At the end of the year, the amount in the account had decreased by 29.5% . How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
Step-by-step explanation:
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7/8 greater than 5/10
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 the value represented by the digit 2 after 298 is divided by 10?
Answer: the answer is 20
Step-by-step explanation:
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
solve each system of linear equations by adding or subtracting
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.
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.
Paul is making loaves of raisin bread to sell at a fundraising event. The recipe calls for 1/3 cups of raisins for each loaf, and Paul has 3 1/4 cups of raisins. I need help with b.
Answer:
a. [tex]9\frac{3}{4}[/tex], from which he can make 9 loaves.
b. [tex]\frac{3}{4}[/tex] is the remaining part.
Step-by-step explanation:
Givens
The recipe calls for 1/3 cups of raisins for each loaf.Pauls has 3 1/4 cups of raisins.To find then number loaves that Paul can make, we just need to divide the number of cups of raising he has, and the cups of raisins need it according to the recipe.
[tex]3\frac{1}{4} \div \frac{1}{3}[/tex]
But, we first need to transform the mixed numero into a fraction, then we solve
[tex]3\frac{1}{4} \div \frac{1}{3}=\frac{13}{4} \div \frac{1}{3}=\frac{13}{4} \times \frac{3}{1}= \frac{39}{4}[/tex]
If we divide this fraction, we obtain a mixed number, becuase the division is not exact
[tex]\frac{39}{4}= 9\frac{3}{4}[/tex]
So, Paul can make [tex]9\frac{3}{4}[/tex] number of loaves. But, he cannot make an incomplete loaf, that means Paul can only make 9 loaves, and the remaining is 3/4, that's the "excess". You can get this answer by subtracting
[tex]9\frac{3}{4} - 9= \frac{39}{4}-9=\frac{39-36}{4}=\frac{3}{4}[/tex]
Therefore, the answers are
a. [tex]9\frac{3}{4}[/tex]
b. [tex]\frac{3}{4}[/tex]
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.
what percent of 92 is 23
23 is approximately 25 percent of 92.
To determine the percentage, we need to find what portion of 92 is represented by 23. We can set up a proportion to solve for the percentage.
Let's assume the unknown percentage is 'p'. We can write the proportion as:
23 is to 92 as p is to 100.
This can be expressed mathematically as:
23/92 = p/100
To solve for 'p', we can cross-multiply:
23 x 100 = 92 x p
2300 = 92p
To isolate 'p', we divide both sides of the equation by 92:
2300/92 = p
Simplifying, we find:
25 = p
Therefore, 23 is approximately 25% of 92. This means that 23 is 25% of the whole value of 92. To verify this, we can calculate 25% of 92:
(25/100) x 92 = 0.25 x 92 = 23
Hence, 23 is indeed 25% of 92.
To learn more about the percentage;
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Six times as many people voted in the 2012 election as in the 2008 election if 162 people voted in 2008, how many people voted in both elections?
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:
Which of the following numbers is irrational?
a fraction with numerator negative 9 and denominator 5, a fraction with numerator square root of 5, a fraction with numerator 7 and denominator 3, square root of 9
a) a fraction with numerator negative 9 and denominator 5
b) square root of 5
c) a fraction with numerator 7 and denominator 3
d) square root of 9
when is estimating an effective tool
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.
Eight paper clips cost 12. cents.How much does 6 paper clips cost?
the fastest a human has ever run is 27 miles per hour. how many miles per minute did the human run
Estimate each quotient 32.17÷7=_ $175.32÷3=_
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?
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.
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.
6.1 in.+3in.+6.9in.+3.1in.=
what is 32 oz divided by $5.98