A gardener is preparing soil for a flowerbed. The directions call for 2 2 3 cups of fertilizer for every 9 bags of soil. If the gardener is using only 3 bags of soil, how many cups of fertilizer does he need?
Answer: [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.
Step-by-step explanation:
Given: For every 9 bags of soil, the number of cups of fertilizers required = [tex]2\dfrac{2}{3}[/tex]
Quantity of fertilizer is proportional to the quantity of soil.
Let x be the number of cup of fertilizer required for 3 bags of soil, then
[tex]\dfrac{x}{3}=\dfrac{2\frac23}{9}\\\\\Rightarrow\ \dfrac{x}{3}=\dfrac{\dfrac83}{9}\\\\\Rightarrow\ x=\dfrac{8}{3\times9}\times3\\\\\Rightarrow\ x=\dfrac89[/tex]
Hence, [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.
1. They'll buy her a used car that will cost her $0.50 per mile in gas and maintenance fees. 2. They'll buy her a new hybrid car but she'll have to contribute $5,000 to the cost. The new car will then cost her an additional $0.10 per mile in gas and maintenance fees.
If she plans to keep the car until she graduates from college in six years and she intends to drive it 10,000 miles each year, which option will cost her less
Answer: The new car will cost her less the new car will cost her about 11000 The used car will cost her about 3000
Step-by-step explanation:
ASAP WHATS THE ANSWER???
Answer:
algebraic expression as they used variables
help me ill mark brainliest
Answer: 10 m/s^2
the formula for acceleration is a = f/m
100/10 = 10
2x-1/3 -3x/4 =5/6
solve for x
Answer:
x= 14/15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x−13−3x4=562x+−13+−34x=56(2x+−34x)+(−13)=56
(Combine Like Terms)
54x+−13=5654x+−13=56
Step 2: Add 1/3 to both sides.
54x+−13+13=56+1354x=76
Step 3: Multiply both sides by 4/5.
(45)*(54X)=(45)*(76)x
=14/15
You went to the store with $5.50. You bought gum for $1.25, a chocolate bar for $1.15 and a candy for $0.50. How much money do you have left?
Answer:
$3.10
Step-by-step explanation:
5.50 - 1.25 - 1.15 = 3.1
You would have 3 dollars and ten cents left over.
Answer:
2.6
Step-by-step explanation:
Ms. Watson's age is 5 years more than 2 1/2 times her son's age. She is 55 years old. How old is her son, in years?
Plzz hurry
Answer:
20 years old
Step-by-step explanation:
Let us assume that the son's age is x.
Therefore,
2.5x = 55 - 5
2.5x = 50
x = 20 years old
hope this helps :)
A survey was sent via email to a sample of 200 students at a local school to see what percentage of the students
would like to switch to wearing uniforms. Of the 200 students at the school, only 15 replied to the survey. A margin of
error of 6% was calculated. Which of the following biases is present in this data collection method that cannot be
accounted for through margin of error?
Answer:
Nonresponse bias, because those students who do not check their email regularly (or do not have email) may not know about the survey and therefore are not able to respond.
Step-by-step explanation:
just did
Answer:
B on edge.
Step-by-step explanation:
Nonresponse bias...
A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many cows does the farmer have?
Answer:
11 cows and 2 chickens
Step-by-step explanation:
The required number of cows x = 30 and chickens is y = 16 .
Given that,
A farm raises cows and chickens.
The farmer has a total of 46 animals.
One day he counts the legs of all his animals and realizes he has a total of 156 legs.
We have to find,
How many cows does the farmer have.
According to the question,
Let, The number of cows = x
And the number of chickens =y.
Then,
The number of cows + The number of chickens = The farmer has a total of 46 animals.
x + y = 46
The cows has 4 legs, and the chickens has 2 legs.
He has a total of 156 legs.
Then,
The number of Cow's legs + The number of chickens legs = The total number of legs farmer have.
4x + 2y = 156
On solving both the equation,
x + y = 46
y = 46 - x
Substitute the value of y in the equation 2.
[tex]4x + 2y = 156\\\\4x + 2(46 - x) = 156\\\\4x + 96 - 2x = 156\\\\2x = 156 - 96\\\\2x = 60\\\\x = \dfrac{60}{2}\\\\x = 30[/tex]
The farmer have 30 cows.
And substitute the value of x in the equation 1,
[tex]x + y = 46\\\\30 + y = 46\\\\y = 46-30\\\\y = 16[/tex]
The farmer have 16 chickens.
Hence, The required number of cows x = 30 and chickens is y = 16 .
To know more about Equations click the link given below.
https://brainly.com/question/21333727
what is the range and domain?
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
Step-by-step explanation:
The range is the set of possible output values, which are shown on the y-axis.
Solve the inequality 3x – 4> 2x +a, giving your answer in terms of X and a
Answer:
x > a + 4
Step-by-step explanation:
3x - 4 > 2x + a
i) move -4 to the right-hand side and change its sign3x > 2x + a + 4
ii) move 2x to the left-hand side and change its sign3x - 2x > a + 4
iii) substract the valuesx > a + 4
Helpppppppppppppppppppp
Answer:
what helpppppppp???
Step-by-step explanation:
????
what is 10 4/9 as an improper fraction
Answer: 10 4/9 as an improper fraction is 94/9
to get this answer, multiply the whole number and the denominator together.
then add the numerator to the denominator then you just put the answer from the second step over the original denominator
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{10\dfrac{4}{9}}\\\\\mathsf{= \dfrac{10\times9 + 4}{9}}\\\\\mathsf{= \dfrac{90 + 4}{9}}\\\\\mathsf{= \dfrac{94}{9}}}\\\\\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{\dfrac{94}{9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$40.00
4%
?
The sales tax is $
The total cost is $
Answer:
100 + 4 = 104%
40/100 X 104 = 41.6
total cost: $41.60
sales tax: $1.60
Answer:
Tax: $1.6
Total cost: $41.6
Step-by-step explanation:
40*0.04 = 1.6, 40 + 1.6 = 41.6
A movie theater decreased the size of its popcorn bags by 20%. If the new bags hold 12 cups of popcorn, how much did the original bags hold? Nasser used the equation 0.20x = 12 Abraham used the equation 0.80x = 12 Kathleen used the equation 1.20x = 12 Decide who used the correct equation and defend your reasoning.
Answer:
Abraham
Step-by-step explanation:
Abraham used the correct equation because if we represent the original size as 100% and decrease that by 20 it would be 80% or 0.8
Nasser's equation will solve for the change in price
Kathleen's equation solves for if the popcorn size was increased by 20%
Answer:
nasser
Step-by-step explanation:
0.20 = 20/100=20%
Seven less than the product of a number n and 1/6 is no more than 94
Answer:
n ≤ 606Step-by-step explanation:
Seven less than the product of a number n and 1/6 is no more than 94, translating:
n*1/6 - 7 ≤ 94Solving for n:
n/6 ≤ 94 + 7n/6 ≤ 101n ≤ 101*6n ≤ 606a) Write down the next two numbers in the following sequence.
45
33
22
12
Answer: 3 and -5
Step-by-step explanation:
45, 33, 22, 12,
differences =
45-33 = 12
33-22=11
22-12=10
pattern = decreases by one so
12- 9 = 3
3- 8 = -5
What is the opposite of -16*
Using a graph, table of values, and/or equations solve the following problem.
A sofa and a love seat together costs S351. The sofa costs double the love seat. How much does the love seat cost?
Round and write your answer to the tenths place value. Do not include units
Answer:
[tex]L= 117.0[/tex]
Step-by-step explanation:
Represent the sofa with S and the love seat with L.
So, we have:
[tex]S + L = 351[/tex] --- Total Cost
[tex]S = 2L[/tex]
Required
Determine the value of L
Substitute 2L for S in the first equation.
[tex]2L + L = 351[/tex]
[tex]3L= 351[/tex]
Divide both sides by 3
[tex]\frac{3L}{3}= \frac{351}{3}[/tex]
[tex]L= \frac{351}{3}[/tex]
[tex]L= 117.0[/tex]
Hence, a love seat costs 117.0
Using Graph
See attachment for graph
S is plotted on the y-axis and L is on the x-axis.
The green line represents [tex]S + L = 351[/tex] while the orange line represents [tex]S = 2L[/tex]
When the line of the graph is traced to the x-axis, we have:
[tex]L= 117.0[/tex]
Kelly makes 70% of her free throws. What's the probability that she makes her next two free throws?
Answer:
50 percent because its a 50 50 chance
Please help, thank u!!
Answer:
whaaaaat are u talking about
Step-by-step explanation:
9r3 + 2r - 5r3 + 3 - 20r
Solve for BRAINLIEST
Answer:
[tex]4r^{2}-18r+3[/tex]
Step-by-step explanation:
1. Explain why n root a^n= |a| when n is even, but not when n is odd.
Step-by-step explanation:
In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.
For a non-negative value of a, a^n is non-negative for all values of n.
If a is negative, and n is even, then a^n is non-negative.
If a is negative, and n is odd, then a^n is negative.
|a| is non-negative for all values of a.
sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.
Lupe is getting balloons for her grandfather's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Lupe wants to get 52 balloons, how many yards of string will she need?
Answer: 104 yards
Step-by-step explanation:
First and foremost, we need.to know that: 1 yard = 3 feet
Since she wants each balloon string to be 6 feet long and she wants to get 52 balloons. The total feet that is required for the balloon would be:
= 52 × 6
= 312 feet
Then we convert 312 feet to yard. This would be:
= 312 feet / 3 feet
= 104 yards
On number 12 I need hell
Answer:
1,600 dollars
Step-by-step explanation:
The easiest way to solve it is to find the dollar for 1 percent.
Since 480 accounts for 30% of the whole thing, we can do 480 divided by 30 to get 16 as 1 percent. This means that 16 times 100 percent would give us the total money spent, giving us 1,600 as our answer.
plz help and answer right.
Answer:
h = 33°
Step-by-step explanation:
180° = 90° + h + 57°
h = 180° - 90° - 57°
h = 180° - 147°
h = 33°
Please help 6th grade math :)
Clara makes and sells paintings. The supplies needed to make each painting cost her $\$13.00$ . She earns $\$75.00$ for each painting she sells.
Which set of integers best represents these values?
Answer:B
Step-by-step explanation:
-13 and 75
You and your friend are selling raffle tickets for a new laptop you sell 14 more than if your total is 58 tickets
Answer:
x - 14 = y
x + y = 58
x is the amount you sold
y is the amount your friend sold
Step-by-step explanation: Sorry if this did not help u.
PLS HELP
Solve (x - 5)2 = 3
(x - 5)2 = 3
2x - 10 = 3
2x -10 + 10 = 3 + 10
2x = 13
2x/2 = 13/2
x = 6.5
Answer: x = 6.5
Hope this helps!!!
Answer:
x = 6.5
Step-by-step explanation:
6.5 - 5 = 1.5
1.5(2) = 3
What is the volume? *
10 yd
12 yd
4 yd
Answer:
480 yd^3
Step-by-step explanation:
I might be wrong but i think you just multiply them all