Answer:
17.106 Teaspoons of fertilizer
Step-by-step explanation:
Joni has a circular garden with a diameter of 16.5. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?
Step 1
We calculate the area of the garden.
The garden is circular in shape.
Area of a circle = πr²
r = radius = Diameter/2
Diameter = 16.5 ft
r = 16.5/2
r = 8.25 ft
Area of the circle = π × 8.25²
Area of the circle (Garden) = 213.82464998 ft²
Approximately = 212.825ft²
Step 2
If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?
25 ft² = 2 teaspoons of fertilizer
212.825ft² = x
Cross Multiply
25 ft² × x = 212.825ft² × 2
x = 213.825× 2/25 ft²
x = 17.106 Teaspoons of fertilizer
please answer for brainiest.
Answer:
The unit rate for a distance of one meter is 0.0958.
Step-by-step explanation:
100/9.58
1/X
To find x, you do what you did you get 1! Divide by 100. 9.58 divided by 100 is equal to 0.0958.
Now for the chart:
50/4.79
100/9.58
250/23.95
400/38.32
Hope this helps!
what is this question??
Answer:
5.1* 10-¹
Hope it helps thank you
Answer:
5.1 x 10^-1
Step-by-step explanation:
Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.
Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.
Write the Following numbers in Standard form
0.75 x 108
[tex] \tt \dashrightarrow 0.75 \times 108[/tex]
[tex] \tt \dashrightarrow \dfrac{75}{100} \times 108[/tex]
[tex] \tt \dashrightarrow \cancel{\dfrac{75}{100}} \times 108[/tex]
[tex] \tt \dashrightarrow \dfrac{3}{4} \times 108[/tex]
[tex] \tt \dashrightarrow \dfrac{3}{\cancel{4}} \times \cancel{108}[/tex]
[tex] \tt \dashrightarrow 3 \times 27[/tex]
[tex] \tt \dashrightarrow 81[/tex]
Hence, answer is 81.
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the other.
Answer:
12 km/h and 10 km/hStep-by-step explanation:
Let the speed of Masha = s, speed of Dasha = d
Distance = 20 kmTime difference = 20 min = 1/3 hrSpeed difference = 2 km/hAs per above info we get following equations:
s = d + 220/s + 1/3 = 20/dSubstitute s and solve for d:
20/(d + 2) + 1/3 = 20/dGet rid of fraction by multiplying all terms by 3d(d + 2):
60d + d(d + 2) = 60(d + 2)60d + d² + 2d = 60d + 120d² + 2d = 120d² + 2d + 1 = 121(d + 1)² = 11²d + 1 = 11d = 10Find s:
s = 10 + 2 = 12The answer is
Masha's speed 12 km/h and Dasha's speed 10 km/hSolve the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1 A. X= 1/3, x= 1 B. X=1/3 C. X=1 D. There is no solution
Answer:
There is no solution
Step-by-step explanation:
Given the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1
We are to find the value of x
Collect like terms
2x²+x-3 = 3/x-1 - 1/x-1
2x²+x-3 = 2/x-1
Cross multiply
(2x²+x-3) (x-1) = 2
2x³-2x²+x²-x-3x+3-2 = 0
2x³-x²-4x+1 = 0
Since we cannot factor the polynomial, hence there is no solution
A skier is trying to decide wether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $400. The skier would have to rent skies with either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Answer:
Step-by-step explanation:
to buy a monthly pass
Answer:
6 days. please see the pic including proof check for 5 day vs 6 day. hope it helps.
The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?
Answer:
f(x)=-5sin (1/3x)-2
Step-by-step explanation:
The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
What is Sinusoidal function?A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function
Given,
Midline is at (0,-2)
minimum point at [tex](\frac{3\pi }{2},-7)[/tex]
Therefore, the function is line with amplitude = -2-(-7)=5
No phase shift as intersection at 0.
Vertical shift is -2
Then,
f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Learn more about Sinusoidal function here
https://brainly.com/question/12060967
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Rewrite the equation so that it does not have fractions 2- 5/6x = 7/8
the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:
24(5/6)x + 24(2) = 24(7/8)
the denominators will cancel out so you have:
4(5x) + 48 = 3(7)
do the multiplication:
20x + 48 = 21
fractions have been eliminated, and if you want to continue to solve:
20x = -27
x = -27/20
Leah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries?
Answer:
i dunno man like 20x2853-3835734= close to 1 ish maybe
Step-by-step explanation:
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gIB BRAIN SMARTER
help>>>>>>!!!!!!!!!!!
using your equation of f(x)= 5x + 8, evaluate f(5)
Answer:
33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
#carryonlearning :)Aidan ran 712 of a mile, then took a break before running another 12 of a mile. How far did Aidan run in all?
Answer:
Is that supposed to be
7 1/2? If so, answer is 8
Step-by-step explanation:
7 1/2 + 1/2=8
Which quadrant will the figure be located in after a 180 degree rotation?
A) Quadrant 2
B) Quadrant 1
C) Quadrant 3
D) Quadrant 4
Find the equation of the line.
Answer:
y=1/2 +1.5
Step-by-step explanation:
y intercept = 1.5
gradient = rise over run = 1/2
y = 1/2 +1.5
Answer:
[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+b[/tex] when [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the y-coordinate of the point where the line crosses the y-axis)
1) Find the slope ([tex]m[/tex])
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
We can use any two points on the line to plug into this equation, but it's often easiest to use points that have whole-number coordinates. For example, we can use the points (1,-1) and (3,0).
[tex]m=\frac{0-(-1)}{3-1}[/tex]
Two negatives make a positive
[tex]m=\frac{0+1}{3-1}\\m=\frac{1}{2}[/tex]
So far, our equation looks like this:
[tex]y=\frac{1}{2}x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
We're told to approximate the y-intercept based on what appears to be true in the graph. In the graph, we can see that the y-intercept appears to occur when y=-1.5, or when y=[tex]-\frac{3}{2}[/tex]. Therefore, [tex]b=\frac{-3}{2}[/tex].
Now, after plugging both [tex]m[/tex] and [tex]b[/tex] into our equation, our final equation looks like this:
[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]
I hope this helps!
y = 5x - 1
10x - 2y = 2
Answer:
0 = 0 => Infinitely many solutions
Step-by-step explanation:
There are 5 candy canes for every 9 presents. How many candy canes are there when there are 108 presents
Answer:
When there are 108 presents, there are 60 candy canes
Step-by-step explanation:
candy canes : presents = 5:9
5/9 = x/108
cross multiply:
(5) (108) = 9x
540 = 9x, divide both sides by 9
x = 60
-3x+5=20
show work please!
Answer:
x=−5
Step-by-step explanation:
−3x+5=20
Step 1: Subtract 5 from both sides.
−3x+5−5=20−5
−3x=15
Step 2: Divide both sides by -3.
−3x/-3 = 15/-3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{-3x + 5 = 20}\\\large\text{SUBTRACT by 5 to BOTH SIDES}}\\\large\text{-3x + 5 - 5 = 20 - 5}\\\large\text{Cancel out: 5 - 5 because that gives you 0}\\\large\text{Keep: 20 - 5 because it gives you 15 and it helps us solve for x}\\\large\text{20 - 5 = 15}\\\large\text{New equation: -3x = 15}\\\large\text{DIVIDE by -3 to BOTH SIDES}[/tex]
[tex]\bold{\dfrac{-3}{-3}=\dfrac{15}{-3}}\\\\\bold{Cancel\ out: \dfrac{-3}{-3}\ because\ it\ gives\ you\ 1}\\\\\bold{Keep: \dfrac{15}{-3}\ because\ it\ gives\ you\ x}[/tex]
[tex]\bold{x = \dfrac{15}{-3}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: x = -5}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
In an algebraic expression, terms are separated by ___________________?
A:Group of answer choices
parentheses
B: multiplication and division signs
C: addition and subtraction signs
D: fraction bars
Can some body please help with this
!!no fake answers please im low on points!!
Answer:
b
Step-by-step explanation:
Please help me out please
Answer:
x = -0.8
<CAD = -8
Step-by-step explanation:
10x + 4 = 5x - 4 (Clean up)
10x = -8 (Divide each side by 10)
x = -0.8
<CAD = 5x - 4
<CAD = 5(-0.8) - 4
<CAD = -4 - 4
<CAD = -8
Please help with this! I will mark brainliest!!! Explain your answer
Answer:
F and C
Step-by-step explanation:
None needed :)
F and C is the correct answer to the question
WRITE AN EQUATION which describes the line that contains (9,4) and has an undefined slope.
Answer:
x = 9
Step-by-step explanation:
A line with an undefined slope will be a vertical line.
This means the equation of the line will be in x = form, because the line will only go through one x value.
Since the given point has the x value of 9, this means the line will only go through that value.
So, the equation of the line will be x = 9
Four individuals put their money together to start a new venture. They agree to split the profits equally. N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. If the profits for the first month were $2,000, Z receives __?__ less than if the profits were divided in proportion to how much they invested.
Answer: $800
Step-by-step explanation:
N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. This in the ratio of 1:2:3:4.
If the profits for the first month were $2,000, the amount received by Z will be:
= 4/(1+2+3+4) × $2000
= 4/10 × $2000
= 4 × $200
= $800
It costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression 1.5x + 15, where x is the number of songs downloaded. How much will it cost Johnny to download 10 songs?
please hurry I need to pass math
Answer:
$30
Step-by-step explanation:
To find the cost, plug in 10 for x, then simplify
1.5x + 15
1.5(10) + 15
= 30
So, it will cost Johnny $30 to download 10 songs
The total amount of money that Johnny will have to pay is f(10) = 30.
What are expressions?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →
1.5(x) + 15.
The expression is given by -
f(x) = 1.5(x) + 15
where [x] is the number of songs downloaded.
For [x] = 10 songs, the total amount of money that Johnny will have to pay is -
f(10) = 1.5 x 10 + 15
f(10) = 15 + 15
f(10) = 30
Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.
To solve more questions on expressions, visit the link below -
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Please help me I can’t figure out the answer
9514 1404 393
Answer:
(x, y) = (5, 6)
Step-by-step explanation:
When you have two equations in "y = ..." form, you can equate the two expressions for y.
y = 2x -4
y = x +1 . . . . . both are given
__
Equating y to itself, we have ...
y = y
2x -4 = x +1 . . . . . substitute the given expressions
x = 5 . . . . . . . . . . add 4-x to both sides
Then either equation can be used to find y:
y = x +1 = 5 +1 = 6
The solution is (x, y) = (5, 6).
Can someone help me with this?
A good will do one of both of which two things select two answers
What is the equation of the graph given?
Answer:
y=2/3x+1/3
Step-by-step explanation:
I believe this is it if I'm not mistaken
Joe has $173 in the bank. He earns the same amount of money each week for 7 weeks and puts this money in the bank. Now joe has $208 in the bank. How much money does joe earn each week
Given:
Joe has $173 in the bank.
He puts 7 weeks earning in the banks.
Now joe has $208 in the bank.
To find:
How much money does joe earn each week?
Solution:
Let x be the same amount of money each week for 7 weeks and puts this money in the bank.
Total earning in 7 weeks = 7x
Total amount of money in bank = Initial amount + 7 Weeks earning
[tex]208=173+7x[/tex]
[tex]208-173=7x[/tex]
[tex]35=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{35}{7}=x[/tex]
[tex]5=x[/tex]
Therefore, joe earns $4 each week.
In the diagram, line f is parallel to line g, and line e intersects line f and g.
What is the value of x?
Need help asap!
Answer:
Step-by-step explanation:
78