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Vaselesa [24]
3 years ago
5

A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a

bouquet for her mother with a vase. She'd also like to buy just a bouquet for herself and another for her best friend.
If x represents the number of bouquets Kelly can buy, which inequality will tell Kelly if she has enough money to make her purchase?
A) $4.25x + $3.50 ≤ $20
B) $4.25x - $3.50 ≤ $20
C) $4.25x + $3.50 ≥ $20
Eliminate
D) $3.50x + $4.25 ≤ $20;
Mathematics
2 answers:
slamgirl [31]3 years ago
8 0
A is the answer.
4.25 multiply 3= 12.75 
12.75 + 3.50= 16.50
16.50 
≤ $20
BlackZzzverrR [31]3 years ago
7 0

Answer:

A

Step-by-step explanation:


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Which number is rational?<br> square root 2<br> 3.4<br> square root 10<br> square root 16
IRINA_888 [86]

Answer:

3.4

Step-by-step explanation:

3.4 is able to be converted into a fraction so it is rational.

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3 years ago
1. Find the value of x.<br><br> A. 90<br> B. 80<br> C. 60<br> D. 45
tia_tia [17]

Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

another way

imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).

the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

8 0
3 years ago
Find the solution of the system of equations.<br> 10x+10y=40 <br> 5x+3y=8
ddd [48]

Answer:

x = -2 & y = 6

Step-by-step explanation:

10x+10y=40

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10x=-10y+40

\frac{10x}{10} =\frac{-10y+40}{10}

x=-y+4

5x+3y=8

5(-y+4)+3y=8

-2y+20=8

-2y+20+-20=8+-20

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\div2

y=6

x=-y+4

x=-6+4

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Hope this helps.

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So there is no turning point for this function.

Now in this problem, it is even easier than the above to show that there is no turning point.  A turning point by definition is when the derivative or velocity changes sign.  Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.


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