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jeyben
8 days ago
9

The ratio of newspapers to magazines at the corner store is 9 to 5. Which combination of newpapers and magazines could the corne

r store have?
Mathematics
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answer to three friends each create 4 bags of starter bread dough. after ten days, each of those four bags is then divided into
tester [12383]
The solution is 20 days, found as follows:
Each of the three friends initially makes 4 bags of dough. After 10 days, each of these bags is split into 4 new bags:
3 friends × 4 bags = 12 bags, and 12 bags × 4 = 48 bags
Then in the following 10 days, 48 bags are again divided into 4 bags each:
48 × 4 = 192 bags
Adding the periods: 10 days + 10 days = 20 days
Therefore, 192 bags are created after 20 days.
7 0
3 months ago
Farmer Alex has 32 llamas each of whom needs 10000 square feet of grazing area. He wants to enclose a rectangular pen along a st
tester [12383]
Take note of the image below

the riverbank requires no fencing due to the river's presence
so the pen's perimeter can be calculated as 2w + l, or w + w + l
thus   \bf \textit{area of a rectangle}\\\\
A=lw\qquad A=10000\implies 10000=lw\implies \cfrac{10000}{w}=\boxed{l}
\\\\\\
\textit{perimeter of enclosed pen}\\\\
P=2w+l\implies P(w)=2w+\boxed{\cfrac{10000}{w}}

derive P(w), set it to zero, locate any critical points, and perform a first-derivative test for minimum values.

8 0
2 months ago
Read 2 more answers
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y
babunello [11817]

Answer:

n = 3

XY = 39

XZ = 39

Step-by-step explanation:

Given

XY = 9n + 12

XZ = 15n - 6

Solving for (a): n

To find n;

We will utilize

XY = XZ

Substituting values for XY and XZ

9n + 12 = 15n - 6

9n - 15n = -12 - 6

-6n = -18

Dividing by -6

n = 3

Solving for (b) XY

XY = 9n + 12

Substituting 3 for n

XY = 9 * 3 + 12

XY = 27 + 12

XY = 39

Solving for (c): XZ

XZ = XY

XZ = 39

7 0
2 months ago
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir
PIT_PIT [12445]
The statements labeled 1 and 4 are accurate. To easily see the center and radius of the circle, we can modify the given equation to fit its standard format. Once in standard form, we can contrast it with the standard equation to find the circle's center and radius. The coordinates for the center are determined to be (1,0) and the radius is represented by r = \sqrt{9} = 3. With this understanding, we can evaluate each statement. 1. The circle's radius is 3 units—this is true. 2. The circle's center is located on the y-axis—this is incorrect, as the center at (1,0) indicates it is on the x-axis. 3. The standard equation is (x - 1)² + y² = 3—this is false; the correct equation is (x - 1)² + y² = 9. 4. The circle's radius matches that of the circle with the equation x² + y² = 9—this statement is correct, as both radii equal 3.
8 0
2 months ago
Read 2 more answers
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