Answer:
[tex]\large\boxed{\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}}[/tex]
Step-by-step explanation:
You must have the same denominator to add two fractions.
LCD = 6
[tex]\dfrac{2}{3}=\dfrac{2\cdot2}{3\cdot2}=\dfrac{2}{6}[/tex]
[tex]\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{4}{6}+\dfrac{1}{6}=\dfrac{4+1}{6}=\dfrac{5}{6}[/tex]
Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 because of expenses. In the first hour of the fundraiser they collect equal donations from 9 parents, which brings their balance to -44. How much did each parent give?
Answer:
Each parent donated 4 dollars
Step-by-step explanation:
80 - 44 = 36
so they got 36 dollars.
36÷9 = 4
A glass pitcher is filled with water. 1/8 of the water is poured equally into 2 glasses.
a. What fraction of the water is in each glass?
b. If each glass has 3 fluid ounces of water in it, how many fluid ounces of water were in the full pitcher?
c. If 1/4 of the remaining water is poured out of the pitcher to water a plant, how many cups of water are left in the pitcher?
Answer:
Step-by-step explanation:
Part a)
Let the volume of water in glass pitcher be 'V'
Now it is given that 1/8 of water is poured in 2 glasses
Thus the volume of water in each glass is
[tex]V'=\frac{1}{2}\times \frac{V}{8}=\frac{V}{16}[/tex]
Part b)
Now it is given that volume of water in each glass is 3 fluid ounces thus to obtain the original volume we euate the volume obtained in part a with 3. Thus
[tex]\frac{V}{16}=3\\\\\therefore V=3\times 16=48ounces[/tex]
Part c)
After pouring out 1/8 water from the orifinal glass the volume of watre that remains in the pitcher euals
[tex]V_{rem}=V-\frac{V}{8}=\frac{7V}{8}[/tex]
Now since 1/4 of the above volume is poured out which euals
[tex]V_{poured}=\frac{1}{4}\times \frac{7V}{8}=\frac{7V}{32}[/tex]
Thus the volume of water that remains euals
[tex]V'_{rem}=\frac{7V}{8}-\frac{7V}{32}=\frac{21V}{32}[/tex]
Applying the value of V we get
[tex]V'_{rem}=\frac{21\times 48}{32}=31.5[/tex]ounces
convert 300 grams into kilograms
Hey!
-------------------------------------
Solution:
1 gram = 0.001 kilogram's
300 * 0.001 = 0.3
-------------------------------------
Answer:
300 grams = 0.3 kilograms
-------------------------------------
Hope This Helped! Good Luck!
In order to get the answer to this question you will have to know that 1 gram equals 0.01 kilograms.
[tex]1=0.01[/tex]
[tex]100=0.1[/tex]
[tex]300=0.3[/tex]
[tex]=0.3[/tex]
Therefore your answer is "0.3 kilograms."
Hope this helps
Six subtracted from b is less than or equal to 19
Answer:
b≤25
Step-by-step explanation:
b-6≤19
start by adding 6 to both sides. the result would be b≤25. The answer is that simple.
The help desk is keeping track of the number of minutes the average caller spends on hold.
A 2-column table with 6 rows titled Average Time on Hold with Help Desk. The first column is labeled Week with entries 1, 2, 3, 4, 5, 6. The second column is labeled Average Time on Hold (minutes) with entries 7, 5, 3, 2, 3, 5.
According to the table, during which interval did the average time spent on hold increase?
week 1 to week 3
week 1 to week 4
week 4 to week 6
week 3 to week 5
Answer:
It would be week 4 through 6.
Step-by-step explanation:
This is because if you notice that during the first 4 weeks they drop and then week 5 and 6 they raise, which means it is 4 - 6 weeks.
Answer:
The correct option is C) week 4 to week 6.
Step-by-step explanation:
Consider the provided Table.
According to the given information.
Week Average time on hold
1 7
2 5 (Decrease -2)
3 3 (Decrease -2)
4 2 (Decrease -1)
5 3 (Increase +1)
6 5 (Increase +2)
If we observe the table we can find that from week 1 to week 4 average value decrease from 7 to 2.
But from week 4 to 6 the average value starts increasing. The average time increase from 2 to 5.
Hence, the correct option is C) week 4 to week 6.
What is the least common denominator of
1
6
and
11
12
?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation: One of the numbers is prime, making the LCM 1.
PLS HELP ON GEOMETRY
Answer:
m∠DHL = 83°
Step-by-step explanation:
Angle IHL and Angle DHL fall in a straight line. We know the measure of a straight line [straight angle] is 180°.
Thus, we can write:
∠IHL + ∠DHL = 180
97 + ∠DHL = 180
∠DHL = 180 - 97
∠DHL = 83°
Hence, m∠DHL = 83°
You work for a landscaper that has a customer needing to seed an area of land 80 feet by 40 feet in size. The garden center
has 5-pound bags of grass seed. Each bag of seed costs $3.00 and can cover 25 square yards of land.
To determine the cost of materials, you multiply 80 x 40 = 3200, divide by 9 = 355.55 and then multiply by 3. The cost of
materials will be $1067. Is this correct?
Final answer:
The correct calculation for the total cost to seed an area of 80 feet by 40 feet is $45.00, substantially less than the incorrect $1067 identified due to proper area conversion and cost calculation.
Explanation:
The question about the cost of seeding an area of 80 feet by 40 feet involves calculations for area conversion, determining the number of seeds needed, and calculating the total cost. The initial step involves calculating the area in square feet (80 x 40 = 3200 sq ft) and then converting this area into square yards by dividing by 9 (since there are 9 sq ft in a sq yd), which equals approximately 355.56 sq yds. The bags of grass seed required is then determined by the coverage rate of 1 bag per 25 square yards, yielding about 14.22 bags. However, since you cannot purchase a fraction of a bag, you would need to buy 15 bags of seeds. At a cost of $3.00 per bag, the total cost is $45.00, contrasting significantly with the incorrect calculation provided in the question.
The subject of the formula below is y.
y = 5x – pa
Rearrange the formula to make x the subject.
Help pls
Answer:
x = [tex]\frac{y+pa}{5}[/tex]
Step-by-step explanation:
Given
y = 5x - pa ( isolate the term in x by adding pa to both sides )
y + pa = 5x ( divide both sides by 5 )
[tex]\frac{y+pa}{5}[/tex] = x
What is the leading coefficient of the polynomial? 7x + 5x2 − 9x3 − 10
Answer:
The leading coefficient of the polynomial is -9.
Step-by-step explanation:
9 is the leading coefficient of this polynomial because if you rearrange the exponents from greatest to least, you will get this :
-9x3 + 5x2 + 7x -10
Your leading coefficient is the number included with your degree or highest exponent.
What are whole numbers and their opposites called?
Answer:There are positive integers, for example, 3, and its opposite, a negative integer, -3.
Step-by-step explanation:
Answer:
Any of the numbers {0, 1, 2, 3, ...} etc. There is no fractional or decimal part. And no negatives.
What’s the gcf for 31,32
Factors of 31: 1, 31
Factors of 32: 1, 2, 4, 8, 16, 32
Which number is found in both lists?
GCF(31, 32) = 1
Answer: 1
What is the value of x when x + 10=4
ANSWER: -6
x+10-10 = 4-10x=-6How do I complete Q4 part a?
[tex]\bf \begin{cases} f(x)=x^2+1\\ \cline{1-1} g(x)+x=3\\ g(x) = 3-x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} \boxed{a}\\\\ (f+g)(x)\implies f(x)+g(x)\\\\ (x^2+1)+(3-x)\\\\ x^2-x+4\\ \cfrac{}{} \end{array}~\hfill \begin{array}{llll} \boxed{b}\\\\ (f+g)(-2)\\\\ (-2)^2-(-2)+4\\\\ 4+2+4\\\\ 10 \end{array}~\hfill \begin{array}{llll} \boxed{c}\\\\ (f-g)(x)\\\\ (x^2+1)-(3-x)\\\\ x^2+x-2\\ \cfrac{}{} \end{array}[/tex]
Which algebraic expression is equivalent to this expression? 3(2x − 8) – 11x A. -17x – 24 B. -5x – 24 C. -17x – 24 D. -5x – 8
Answer: B. -5x - 24
Step-by-step explanation:
Simplify 3(2x − 8) – 11x it is −5x−24
So the answer is B. -5x - 24
The equivalent Algebraic Expression is -5x - 24.
The correct option is (B).
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
3(2x − 8) – 11x
Now, simplifying
3(2x − 8) – 11x
= 6x - 24 - 11x
= -5x - 24
Hence, the equivalent Algebraic Expression is -5x - 24.
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Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted. If m represents the weight of the boxes that Marco lifted, which expression represents the total number of pounds Drew lifted?
Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted.
m − 8
14(m − 8) **
9(m + 8)
112m
hope this helps
Answer:
112m
Step-by-step explanation:
What is the range of this function?
6+5(4) please help
Answer:
26
Step-by-step explanation:
5 * 4 = 20
20 + 6 = 26
Answer:
6+5×4
6+20
26
priority is with multiple and divide
The point (-3, 4) is on the line x+4y=13.
Answer:
yes
Step-by-step explanation:
To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line
- 3 + (4 × 4) = - 3 + 16 = 13 = right side
Hence (- 3, 4) lies on the line x + 4y = 13
What is 0.42 rounded to the hundredths place
Answer:There is no need for rounding because 2 is the hundredths place so it's still 0.42
Step-by-step explanation:
Answer:
0.42 is rounded to 0.40
Thirty copies of a textbook weigh a total of 75 lb. What is the weigh of each book?
Answer: Each book weighs 2.5 pounds.
Step-by-step explanation: 75 divided by 2.5 is 30. Or you could also get the answer by multiplying 30 and 2.5 which it would be 75. So, therefor, the answer is 2.5.
To find the weight of each textbook, we divide the total weight by the number of books. Therefore, each book weighs 2.5 lb.
Explanation:If thirty copies of a textbook weigh a total of 75 lb, to find the weight of each individual book, we need divide the total weight by the number of books.
Here is a step-by-step explanation of the solution:
Determine the total weight of the textbooks, which is 75 lb.Determine the number of books, which is 30.Divide the total weight by the number of books. So, 75 lb ÷ 30 = 2.5 lb.Therefore, each book weighs 2.5 lb.
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which number is irrational?
0.333...
0.7
0.277277277...
pi
The answer would be pi
Answer:
pi (π)
Step-by-step explanation:
An irrational number has endless non-repeating digits to the right of the decimal point.
Here,
π = 3.14159265359 .........
which doesn't stop or repeat (endless non-repeating digit). That's why pi (π) is a irrational number.
Use the graph shown to fill in the blank.
When x = 1, then y = a0.
Answer:
When x=1 then the value of y=-2.
Step-by-step explanation:
We are given that a line on the graph
We have to find the value of y when x=1
From given graph, the line intersect the x- axis x=3 .Therefore, the point is (3,0).The line intersect y- axis at -3 .Therefor, the point is (0,-3).
We can see that the line passing from (3,0),(2,-1),(1,-2) and (0,-3).
When x=1 then the value of y=-2.
Hence, y=-2 when x=1
Answer:
the correct answer is -2
Step-by-step explanation:
hope this helps
What are the factors of 60
Answer : 1,2,3,4,5,6,10,12,15,20,30,60,
Hope this helped you! Enjoy! :)
(15+70-5 2) divided by (36-6)
Hey!
-----------------------------------------------
Solution:
[tex]= \frac{(15 + 70 - 5^2)}{(36-6)}[/tex]
[tex]= \frac{(15+70-25)}{30}[/tex]
[tex]= \frac{85 - 25}{30}[/tex]
[tex]= \frac{60}{30}[/tex]
[tex]= 2[/tex]
-----------------------------------------------
Answer:
2
-----------------------------------------------
Hope This Helped! Good Luck!
Suppose an elevator starts at street level (0), goes down 4 floors to the parking deck and then goes up to 9 floors to the conference center. The conference center is on what floor? Show work!
Answer:
he's on the 5th floor
Step-by-step explanation:
If he's at 0, then he goes down 4. 0-4=(-4)
Then, He goes up 9 floors from -4.
-4+9=5
Hope this helps!!!
Brady
The elevator starts at street level (0), goes down to -4 and then rises 9 floors to reach the conference center. The sum of -4 + 9 gives 5 which is the floor number for the conference center.
Explanation:The elevator starts at street level, which we are defining as floor 0. It then goes down 4 floors, so it's at -4. However, it then travels up to the conference center, moving a total of 9 floors. You need to add these 9 floors to where the elevator currently is. So you'll calculate -4 (the current floor number) + 9 (the number of floors it goes up) which equals 5. Therefore, the conference center is on the 5th floor.
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through: (-5, -5), slope =4/5
Answer:
[tex]y = \frac{4}{5}x - 1[/tex]
Step-by-step explanation:
-5 = ⅘[-5] + b
-4
-1 = b
I am joyous to assist you anytime.
Which of the following is not an example of human geography
Answer:
A geographer studies the elevation of mountains in France
Step-by-step explanation:
Human geography is the process where patterns and processes that builds up human interaction with the environment.This study is done by the geographers. it includes team of geographers examining the interactions between population, they also A studies the elevation of mountains and also team of geographers publish a book about life of the humans to show how they relate with the environment in their living.
Answer:
A geographer studies the elevation of mountains in France
Step-by-step explanation:
took test
Theo has 50 tea light candles. Madeline has half as many candles as Theo. How many candles does Madeline have ?
Answer: 25
Step-by-step explanation:
Simple! Divide 50 in half, which is 25 and that's how many
The number of candles Madeline have is:
25
Step-by-step explanation:It is given that:
Theo has 50 tea light candles.
Madeline has half as many candles as Theo.
This means that the number of candles with Madeline is half the number of candles with Theo.
The number of candles with Madeline is calculated by:
[tex]\dfrac{50}{2}=25[/tex]
I have 14 hundreds, 5 tens,
7 ones, 9 tenths and 3
hundredths. What number am
I?