Answer:
1L of 30% fertilizer and 9L of 10% fertilizer
Step-by-step explanation:
Let x = the amount of fertilizer containing 30% nitrogen.
Let y = the amount of fertilizer containing 10% nitrogen
x + y = 10 because the two fertilizers together will be 10L
0.3x will be the amount of nitrogen in the 30% nitrogen fertilizer, and 0.1y will be the amount of nitrogen in the 10% fertilizer. If you add those together, you will get 12% of the nitrogen in the 10L mixture. This makes this equation:
0.3x + 0.1y = 0.12(10)
0.3x + 0.1y = 1.2
Now we have our two equations.
x + y = 10
0.3x + 0.1y = 1.2
We can use substitution to solve this system of equations.
x = 10 - y
Substituting this into the second equation, we have:
0.3(10-y) + 0.1y = 1.2
3 - 0.3y + 0.1y = 1.2
3 - 0.2y = 1.2
1.8 = 0.2y
9 = y
10 - 9 = 1L
There will be 9L of 10% nitrogen fertilizer and 1L of 30% nitrogen fertilizer.
A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.
Which of the following best describes the method used by the principal?
It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.
Answer: It's an unfair method because two or more students could get the same results./ D
Step-by-step explanation: hope this helps
Answer:
B. It's a fair method because each result is an equally likely possible outcome.
Step-by-step-explanation :
According to the question , there are a total of 6 students to be selected by the principal.
So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.
Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]
The probability that a student will choose one number :[tex]\frac{1}{36}[/tex]
Thus, the selection of each student is given by the number
[tex]\frac{1}{36}[/tex]
So,each result is an equally likely possible outcome.
So, the principal choose a fair method.
What angle is that pls
they are corresponding angles
Help PLEASE PICTURE BELOW!!
Answer:
table d
Step-by-step explanation:
functions can not have the same input twice
Answer:
A B and C repreasent functions
Step-by-step explanation:
Anyone help pleaseeeeee?
Solve the following 3/4+2/8
Answer:
28
Step-by-step explanation:
3x4 is 12
2x8 is 16
16+12 is 28
Answer:
1
Step-by-step explanation:
In order to add fractions they have to have a common denominator.
In this case we can multiply the fraction 3/4 by 2 to get 6/8.
Now we can add them:
[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]
Therefore, the answer to the question is 1.
I hope this helps!!
- Kay :)
I need help baddddddd
Answer:
c, 6days
Step-by-step explanation:
c= 3.00d+32
c=3.25d+30.50
after 6 days the cost will be 50 for both
c= 3.00*6+32 = 18+32 = 50
c=3.25*6+30.50 = 19.5 +30.5 =50
What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS
Answer:
50= 2x2x5 is the prime factorization of 50.
Write the equation of the line in point-slope, slope-intercept, and standard form.
38. Line passing through points (-4, 2) and (0,3)
Raul received a score of 80 on a history test for which the class mean was 70 with standard deviation 10. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 2.5. On which test did he do better relative to the rest of the class?
Answer:
Raul performed better in the biology test
Step-by-step explanation:
Given
History
[tex]Score = 80[/tex]
[tex]Mean = 70[/tex]
[tex]Standard\ Deviation = 10[/tex]
Biology
[tex]Score = 75[/tex]
[tex]Mean = 70[/tex]
[tex]Standard\ Deviation = 2.5[/tex]
Required
Where did he perform better relative to other students
To do this, we simply calculate the z score in both tests and make comparison.
z score is calculated as thus;
[tex]z = \frac{x - Mean}{SD}[/tex]
For history;
[tex]z = \frac{80 - 70}{10}[/tex]
[tex]z = \frac{10}{10}[/tex]
[tex]z = 1[/tex]
For biology;
[tex]z = \frac{75 - 70}{2.5}[/tex]
[tex]z = \frac{5}{2.5}[/tex]
[tex]z = 2[/tex]
Since the z score in the biology test is greater than that of the history test, then he performed better in the biology test
the science club went on a two-day field trip the first day the members pay $50 for transportation plus $12 per ticket to the Planetarium the second day they paid $100 for transportation plus $9 for tickets to the geology Museum write an expression to represent the total cost in dollars for two days for the end members of the club and expression that represents the total cost in dollars for two days for the end members of the club is given
Answer:
y=50+12x y=100+9x
Step-by-step explanation:
A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?
Answer:
[tex]Cupcakes = 7[/tex]
Step-by-step explanation:
Given
[tex]Total\ Sprinkles = 134[/tex]
[tex]Sprinkle\ per\ cupcake = 18[/tex]
Required
Determine the number of cupcakes
To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake
[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]
This gives:
[tex]Cupcakes = \frac{134}{18}[/tex]
[tex]Cupcakes = 7.44[/tex]
[tex]Cupcakes = 7[/tex] approximated
Hence, 7 cupcakes are needed
A car journey has two stages.
Stage 1: The car travels 110 miles in two hours
Stage 2: The car travels 44 miles at the same average speed as stage 1
Work out the time for stage 2
Give your answer in minutes.
Answer:
48 minutes
Step-by-step explanation:
2h = 110 miles
1h = 110 ÷ 2
= 55 miles
Therefore, the speed of the entire journey is 55 miles per hour.
1h = 60 minutes
55 miles = 1h
55 miles = 60 minutes
44 miles = [tex]\frac{44}{55}[/tex] × 60 minutes
= 48 minutes
Will mark Brainliest
Which conic section is represented by the following equation?
5x^2-x+5y^2 – 3y + 4 = 0
circle
ellipse
parabola
hyperbola
Answer:
I believe its hyperbola
Answer:
ellipse
Step-by-step explanation:
just got it right on edg ^u^
Please help me out!!!
Answer:
Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
Step-by-step explanation:
We are given [tex]f(x)=2x-6[/tex]
We need to match the transformations.
1) shifts f(x) 4 units down.
When function f(x) shifts k units down the new function becomes f(x)-k
In our case
[tex]g(x)=2x-6-4\\g(x)=2x-10[/tex]
So, Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
2) Stretches f(x) by a factor of 4 away from x-axis
When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)
[tex]g(x)=2(4x)-6\\g(x)=8x-6[/tex]
So, Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
3) Shifts f(x) 4 units right
When function f(x) shifts h units right the new function becomes f(x-h)
[tex]g(x)=2(x-4)-6\\g(x)=2x-8-6\\g(x)=2x-14[/tex]
So, Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
4) Compress f(x) by a factor of 1/4 toward the y-axis
When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)
[tex]g(x)=1/4(2x-6)\\g(x)=1/2x-3/2[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
(Option Not given)
(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)
Ms. Psenicska is driving her car at 60 miles per hour. She then increases her speed by 25%. Which of the following expressions can be used to find her
new speed? Select all that apply
60 (0.75)
60 (0.25)
60 - 60 (0.25)
60+ 60 (0.25)
Cam you help me please
Answer:
60 (0.25)
Step-by-step explanation:
I need help ASAP
A manufacturer can produce 1 plastic bowl in 1 minute
Which graph models a relationship with the same unit rate
Answer:
The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.
The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A manufacturer can produce 1 plastic bowl in 1 minute
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the data given the equation can be framed:
The proportional relationship will be:
y ∝ x
y = kx
x = 1 y = 1
k = 1
y = x
Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ5
Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
Which of the following are not polynomials?
Answer:
A
C
and
D
Step-by-step explanation:
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
Answer:
750
Step-by-step explanation:
brainliest please
Answer: positive
Step-by-step explanation:
two negatives equals a positive
Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *
Answer:
36-1x
Step-by-step explanation:
plz let me know if I'm right
which of the following inequalities matches the graph?
Which best describes the dimensions of a line?
A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.
Answer:
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Step-by-step explanation:
The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
To find the dimensions of a line.
We know that;
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Thus, The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
Learn more aboput the line segment visit:
https://brainly.com/question/280216
#SPJ5
Solve for x. Round to the nearest tenth.
Answer: 36.2
Step-by-step explanation:
30^2+15^2=1314
square root of 1314 is equal to 36.249
rounded to nearest tenth: 36.2
Best and Correct answer gets BRAINLIEST!!!!!
Triangle ABC ~ Triangle DEF. Find the length of median FQ. Show how to solve. 25 points
The length of the median FQ in image of the two similar triangles is: 36.
How to Find the Median of Similar Triangles?The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:
PC/FQ = PB/QE
Substitute
27/FQ = 18/24
FQ = (24 × 27)/18
FQ = 36.
Learn more about similar triangles on:
https://brainly.com/question/2644832
#SPJ1
Help pls :) (15 pts)
Answer:
the y is -2 and there's is no slope i think
Step-by-step explanation:
I will give brainliest!!!!!
Answer:
False
Step-by-step explanation:
This graph is not a function because it fails the vertical line test where you draw a vertical line through the graph and if the vertical line touches the graph more than once it fails the vertical line test which means it is not a function.
Hope this helps!
directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7
(1) 2x + 3y = 31 y
(2) 2x + 3y = x + 7
(3) 31y = x + 7
(3) x = 31y - 7
(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17
(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17
x = 98/17 ≈ 5.76
y = 7/17 ≈ 0.41
if 1.24×0.94 correct to 2 significant
Answer:yes
Step-by-step explanation:yes
Please need help on this one
Answer:
25 degrees
Step-by-step explanation:
Use a trig. ratio
[tex]sin^{-1}[/tex]=3/7
Plug it into a calculator
[tex]sin^{-1}[/tex]=25.3