Answer:
Step-by-step explanation:
Well, this is a dumb problem... they're trying to trick you with the answers. :(
Okay, so what you're going to do is multiply the whole numbers by 1 put into the fractions.
Juan= 4 1/6--- 4 * 6/6 = 24/6
24/6 + 1/6 = 25/6
Antonio= 3 2/3 ---- 3 * 3/3 = 9/3
9/3 + 2/3 = 11/3
They changed the names around in the answers- Pay attention to who is associated to each fraction.
The right answer is D. Good luck... I hate it when problems try to trick you like that.
Since these are right triangles you can use the pythagorean theorem
a² + b² = c²
a = one leg of the triangle
b = the other leg of the triangle
c = the hypotenuse
1. 4² + 3² = c²
16 + 9 = c²
25 = c²
√25 = √c²
5 = c
c = 5cm
2. 5² + 12² = c²
25 + 144 = c²
169 = c²
√169 = √c²
13 = c
c = 13in
4. 7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
11.4 = c
c = 11.4cm
5. a² + 10² = 15²
a² + 100 = 225
a² = 125
√a² = √125
a = 11.2ft
Answer:
4 by 3 matrix.
Step-by-step explanation:
In the matrix, there are 4 rows of numbers and 3 columns of numbers.
Answer: Yes, Daniel has enough money to buy 2 pens.
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Explanation:
x = cost of one pencil
y = cost of one pen
4x = cost of 4 pencils
3y = cost of 3 pens
4x+3y = cost of 4 pencils and 3 pens
100 - (4x+3y) = amount Daniel has left = 7 dollars
100-(4x+3y) = 7 is one equation we can form
Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".
Let's plug that into the first equation and solve for y.
100-(4x+3y) = 7
100-(4(y+3)+3y) = 7
100 - (4y+12+3y) = 7
100 - (7y+12) = 7
100 - 7y - 12 = 7
-7y + 88 = 7
-7y = 7-88
-7y = -81
y = -81/(-7)
y = 11.57 is the cost of one pen
2y = 2*11.57 = 23.14 is the cost of two pens.
Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.
f(x) has vertex = (- 1, - 5 ) and is a minimum
g(x) has vertex = (2, 3 ) and is a maximum
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x + 1)² - 5 is in this form with vertex = (- 1, - 5 ) and minimum
to determine if maximum/ minimum
• if a > 0 then minimum
• if a < 0 then maximum
g(x) = - (x - 2)² + 3 is also in vertex form with a < 0
vertex = (2, 3 ) and is a maximum