Answer:
length = 26 cm
width = 4 cm
Step-by-step explanation:
A = 104 cm²
A = length x width
ratio of length and width = 13 : 2
total ratio of length and width is 15 = a
so ratio of length is (13/15)a and width (2/15)a
A = length x width = (13/15)a x (2/15)a = (26/225)a² = 104
a² = 104 x 225 : 26 = 900
a = 30cm
length = (13/15)a = 13/15 x 30 = 26 cm
width = (2/15)a = 2/15 x 30 = 4 cm
We can write the question as a mathematical formula as follows:
1000 * 0.08 = m * 0.05 + c * 0.2
1000 = m + c
where m are pints of milk and c are pints of cream
So solving the first equation with m = 1000 - c
1000*0.08 = (1000-c)*0.05 + c*0.2
80 = 50 - 0.05c + 0.2c
80-50 = (0.2-0.05)*c
30 = 0.15*c
c = 30/0.15
c = 200
m = 1000-200 = 800
So the dairy needs 800 pints of milk and 200 pints of cream
Answer:
(d) x = -3/4; y = -3 1/2
Step-by-step explanation:
You are asked for the coordinates of the point of intersection of the lines on the graph. This requires interpolation, because not all grid lines are marked, and the point is not on any grid line.
<h3>Interpolation</h3>
The idea of "interpolation" is figuring the value of a point that lies between points whose values are known. The answer choices here suggest that we are to interpolate to the nearest 1/4 unit. This requires that you mentally (or actually) divide the space between grid lines into 4 equal sections, and figure where the point lies relative to those divisions.
In the case of the x-coordinate, the first grid line left of the y-axis is not marked, but we notice it lies halfway between x=0 and x=-2. That means we can safely assume that the unmarked vertical grid line has a value of x=-1.
<h3>Application</h3>
<u>horizontal coordinate</u>
The location of the point of intersection of the two lines is horizontally closer to the -1 (unmarked) grid line than it is to the y-axis. Its x-value will be between -1 and 0. The answer choices tell us it is -3/4, consistent with it being about 3/4 of the distance toward -1 from 0.
x = -3/4
<u>vertical coordinate</u>
The location of the point of intersection of the two lines is vertically about halfway between -3 and -4. The answer choices tell us it is -3 1/2.
y = -3 1/2
Answer:
- B.) , ratio of 20:1
- C.) , There are 11 costumers per tower and 11000 costumers in total
Step-by-step explanation:
Please mark brainliest...
- multiply each value of the C. by 1,000 to get the # of C.s
- divide the # of C.s / T.s
- this gives you C.s per T.
- Convert to ratio format
- there is on average 15 to 20 C.s per T.
- 5250/273 = 14.075
- 6250/325 = 19.230
- 7250/377 = 19.230
- 9250/273 = 19.230
- <u>6250</u> = <u> y </u>
377 572
2. multiply both sides by 572
3. 572 . <u>6250</u> = y
377
4. divide known pair
572 x 19.230 = y
5. solve for y
6. y = 10999.56
7. divide y value by 1000
8. 10.99956
9. round to the nearest whole #
10. There are 11 costumers per tower and 11000 costumers in total
