Tanner is picking three varieties of apples at an orchard: Gala, Fuji, and Jazz. Each type of apple has a different cost per pound. He knows that 1 pound of each apple variety would cost a total of $5.16, and that the cost per pound of Jazz apples is the same as the combined cost per pound of the Gala and Fuji apples. Tanner picks 12 pounds of apples, including 3 pounds of Gala and 5 pounds of Fuji, for a total cost of $21.24.
If g represents the cost per pound of Gala apples, f the cost per pound of Fuji apples, and j the cost per pound of Jazz apples, which system of equations represents this situation?
Answers
Answer:
2g + 2f = 5.16
7g + 9f = 21.24
Step-by-step explanation:
Let
Gala = g ; Fuji = f ; jazz = j
g + f + j = 5.16 - - - (1)
j = g + f - - - (2)
From (1):
g + f + g + f = 5.16
2g + 2f = 5.16 - - - (3)
Total pound picked by Tanner = 12
3 Pounds of g ; 5 pounds of f
j = 12 - (5 +3) = 4 pounds
3g + 5f + 4j = 21.24 - - - (4)
3g + 5f + 4(g + f) = 21.24
3g + 5f + 4g + 4f = 21.24
7g + 9f = 21.24 - - - - - (5)
this should be the answer for this question!
Related Questions
Graph y= –3x+4. (I WILL MARK BRAINLIEST)
Answers
Answer:
See attached
Step-by-step explanation:
Given function:
y= –3x + 4To graph the line we need two points
One of the easy points is the y-intercept:
(0, 4)Another point can be taken depending on the slope. With the slope of -3, we select x = 2 and find its y- coordinate:
y = -3(2) + 4 = -6 + 4 = -2So we have points
(0, 4) and (2, -2)Plot these points and connect with the line and we are done.
what is the sum of 3 4/5 and 1 1/3?
Answers
Answer:
5 2/15 is the answer
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Sports Committee, and the Sunshine Committee. a. The Sports Committee wants to use its share of the money to purchase t-shirts. If each t-shirt costs $12, what is the greatest number of t-shirts the Sports Committee can purchase? ANSWER NOW PLEASE!!!!
Answers
Answer:
77
Step-by-step explanation:
$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930
If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5
The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77
Two straight lines have equations y = px + 4 and py = qx – 7, where p and q are constants.
The two lines meet at the point (3, 1).
What is the value of q?
Answers
Answer:
answer = 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Find the slope , thank you
Answers
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
the middle sign
Step-by-step explanation:
Marshall uses 10 ounces of pineapple
juice to make 25 ounces of fruit punch.
How many ounces of pineapple juice
does he need to make 150 ounces of fruit
punch?
Answers
Answer:
20 ounces
Step-by-step explanation:
the ratio for 10 ounces of pineapple juice to make 25 ounces of fruit punch is 2:5
so x:150
x = 20
A number x is less than 1/4
Answers
Answer:
Step-by-step explanation:
1/2
whats the area of the triangles please help
Answers
the water level in a ocean bay changes at an average rate of 3 meters per hour. at this rate how many hours would it take for the water level to change 12 meters
Answers
Answer:
4 hours
Step-by-step explanation:
3 meters - 1 hour
12 meters/3 meters = 4!
The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?
6
7
14
15
Answers
Answer:
umm it think it is 14
Step-by-step explanation:
Answer:c
Step-by-step explanation:
F∝a
If F =48 when a =3
find, F when a = 4
Answers
Answer:
64
Step-by-step explanation:
because 48 divided by 3 is 16
and 48 plus 16 is 64
3х + 2 = 4 - 5x
help
Answers
Explanation:
3x+2= -
3x+2= -+
: Subtract 2 from both sides of the equation
Simplify
Add 5x to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Caleigh had a jewelry box with a volume of 14 cubic inches. The area of the base is 7 square inches. What is the height of caleigh’s jewelry box
Answers
Answer:
2 in
Step-by-step explanation:
Given data
Area= 7 in^2
Volume= 14 in^3
from
Volume= Area* height
substitute
14= 7*x
divide both sides by 7
x=14/7
x= 2 in
Hence the height is 2 in
Using the number 4236, how many numbers up to 20 does it divide without a reminder?
Is there a pattern?
What can you say about these numbers?
Please answer ASAP
Answers
Answer:
6 numbers it can be divided without a reminder. They are also even numbers.
Question 3(Multiple Choice Worth 1 points)
(05.04 MC)
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the outlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed?
The mean would decrease.
The mean would increase.
The median would decrease.
The median would increase.
Answers
Answer:
The mean would increase
Step-by-step explanation:
The mean would increase
78 is lower than the mean so if you take out a value that's lower than the mean it would obviously increase
How to simplify 1/2
Somebody help meeeee
Answers
Step-by-step explanation:
1/2 cannot be simplified, however you can solve this question by shading in the other half of the left square, and taking away a shade on the right one :)
Answer:
ok you can not simplify 1/2 but you can make it a higher proportion basically, one square can be one shaded purple of of the two rectangles and the other could be 4 different squares with two shaded purple
the graph shows a relationship between the number of times a gear can rotate in a period of time?which of the following statements is true?
Answers
Answer:
Where is the statements?
Step-by-step explanation:
The sum of two numbers is 10. Their difference is 6. What are the two numbers?
Answers
Answer: 8 and 2
Step-by-step explanation:
this is simple, since we only have 10 numbers to work with. i just kept experimenting with numbers until i got one that had a difference of 6. no strategy, just brain power. hope this helps! xoxo
Answer:
So negatove numbers are gonna be impossible becuase we know that the highest we can go is -10+20=10 but it’ll give a whole different difference when subtracted.
And it can’t be greater then 10 becuase if you do add them it won’t be 10
SO it has to be between 1-10
So what equals 10?
5/5
2/8
8/2
6/4
4/6
3/7
7/3
Now 5 and 5 is out cause if subtracted its 0
2/8 and 8/2 works, if added you get 10 but when subtracked the way for 8/2 from left to write it’ll give 6 which is the only one which will give.
final answer the two numbers are 8 and 2
There were 160 Smarties in the candy box
yesterday. Today there are only 116
Smarties in the box. What is the percent of
decrease?
Answers
Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ?
a. 5√13
b. 12
c. √194
d. 18
e. 5√5
Answers
Answer:
YZ = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of XZ = 13
Lenght of XY = 5
Lenght of YZ =?
The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:
XZ² = XY² + YZ²
13² = 5² + YZ²
169 = 25 + YZ²
Collect like terms
169 – 25 = YZ²
144 = YZ²
Take the square root of both side.
YZ = √144
YZ = 12
Therefore, the length of YZ is 12
Which angle number is adjacent to angle to ZOKL?
Answers
Answer:
there aint no picture
Step-by-step explanation:
What is the value of (-13.6)(0.08)?
Answers
Answer:
The answer is -1.088
Step-by-step explanation:
Multiply − 13.6 by 0.08 .
Hoped this helped!
Not every straight line will pass the vertical line test. What is the only type
of straight line that would fail the vertical line test? *
A-horizontal line
B-vertical line
C-Option 3
Answers
Answer:
Step-by-step explanation:
What's option 3?
Anyway, that's not the answer
The answer is a vertical line. x = - 3
Every y on that line is a possible answer for y. So x has an infinite number of y values associated with it.
please help due asap
Answers
Answer:
d.
a triangle equals 180 degrees
1. t+7=5 step by step
Answers
Answer:
t=-2
Step-by-step explanation:
t+7=5
t+7-7=5-7
t=-2
The pizza costs £18.00. Mark agrees to pay 1/4 of the cost. Samuel agrees to pay 1/2 of the cost Imran agrees to pay the rest. How much does Imran pay?
Answers
Answer:
4.5 or 4.50 dollars
Step-by-step explanation:
if we split 18.00 into [tex]\frac{1}{4}[/tex] each part of the fraction would be 4.5 . or 4.50
mark pays 4.50
samuel pays 9.00
add those both and you'll get 13.50 $
now subtract 13.50 from 18.00 ( og price)
imran pays 4 . 5 0
hope this helped :p
If a varies jointly as b and c,
and a=6 when b=2 and a=3.
Find the variation constant and
the equation of variation.
Answers
Given:
a varies jointly as b and c.
a=6 when b=2 and a=3.
To find:
The variation constant and the equation of variation.
Solution:
a varies jointly as b and c.
[tex]a\propto bc[/tex]
[tex]a=kbc[/tex] ...(i)
Where, k is the constant of proportionality.
a=6 when b=2 and a=3.
[tex]6=k(2)(3)[/tex]
[tex]6=6k[/tex]
[tex]\dfrac{6}{6}=k[/tex]
[tex]1=k[/tex]
The value of k is 1.
Putting k=1 in (i), we get
[tex]w=1xy[/tex]
[tex]w=xy[/tex]
Therefore, the variation constant is 1 and the equation of variation is [tex]w=xy[/tex].
Line segment GH is divided by point J in the ratio of 1:4. Endpoint G is at (7,5) and point J is at (10, 14).
What are the coordinates of endpoint H?
1. (57,75)
2. (-5, -31)
3. (22,50)
4. (78,90)
Answers
Answer:
(x2 , y2) = (22,50)
Step-by-step explanation:
Given:
m1 : m2 = 1:4
(x1 , y1) = (7 , 5)
(X ,Y) = (10 ,14)
Find:
(x2 , y2)
Computation:
X = (m1x2 + m2x1) / (m1+m2)
10 = [(1)(x2) + (4)(7)]/(1+4)
10 = [x2 + 28]/5
22 = x2
Y = (m1y2 + m2y1) / (m1+m2)
14 = [(1)(y2) + (4)(5)]/(1+4)
14 = [y2 + 20]/5
70 = y2 + 20
50 = y2
(x2 , y2) = (22,50)
what is the length of the diagonal C
then find the length of diagonal D
Answers
Answer:
d = √389
Step-by-step explanation:
to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.
a^2 + b^2 = c^2
10^2 + 17^2 = x^2
100 + 289 = x^2
389 = x^2
√389 = √x^2
√389 = x