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MrRissso [65]
3 years ago
13

Jordan is using his birthday money to buy baseball cards. Danny's Downtown Shop sells boxes of 80 cards for $23.20. The General

Store sells boxes of 120 cards for $28.80. Which store offers the better deal?
Mathematics
2 answers:
nordsb [41]3 years ago
8 0

Answer:

I believe that the general store offers a better deal.

Dominik [7]3 years ago
6 0

Answer:

I believe that the general store offers a better deal

Step-by-step explanation:

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True or false? The quadratic equation 10p2 - 5p = -8 has one solution.
pav-90 [236]

Answer: False

=============================================

Explanation:

I'll use x in place of p.

The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.

Compare this to ax^2+bx+c = 0

We have

  • a = 10
  • b = -5
  • c = 8

Plug those three values into the discriminant formula below

d = b^2 - 4ac

d = (-5)^2 - 4(10)(8)

d = 25 - 40*8

d = 25 - 320

d = -295

The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".

Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.

6 0
2 years ago
A square and a rectangle have equal areas. If the dimensions of
Katena32 [7]

Answer:

L = 3√5

Step-by-step explanation:

A square and a rectangle have equal areas.

Area of a square = Area of a rectangle

L² = H * W

If the dimensions of the rectangle are 15 units by 3 units,

L² = 15 * 3

L² = 45

Determine the length of the side of the square.

L = √45

L = 3√5

6 0
3 years ago
Read 2 more answers
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at
aksik [14]
The formula for the area of a triangle is
A=\frac{1}{2}bh
\rightarrow\frac{dA}{dt}=\frac{1}{2}(b\frac{dh}{dt}+h\frac{db}{dt})

We are given:
\frac{dh}{dt}=2
\frac{dA}{dt}=4.5
h=9.5
A=92

Plug in:
4.5=\frac{1}{2}(b*2+9.5\frac{db}{dt})
We can find b with:
A=\frac{1}{2}bh\rightarrowb=\frac{2A}{h}=\frac{2*92}{9.5}=\frac{184}{9.5}
So 4.5=\frac{1}{2}(2*\frac{184}{9.5}+9.5\frac{db}{dt})
\rightarrow9=\frac{368}{9.5}+9.5\frac{db}{dt}
\rightarrow9-\frac{368}{9.5}=9.5\frac{db}{dt}
\rightarrow\frac{db}{dt}=\frac{9-\frac{368}{9.5}}{9.5}\approx-3.130

So the base is decreasing at a rate of 3.130 cm/minute.
6 0
2 years ago
Find the new amount 2000 miles increased by 33%
Goryan [66]

Answer:

2,660\ miles

Step-by-step explanation:

we know that

The amount of 2,000 miles represent 100%

If the amount is increased by 33%

then

The new percent of the amount will be

100%+33%=133%

so

using proportion

\frac{2,000}{100\%}=\frac{x}{133\%}\\\\x=2,000(133)/100\\\\x=2,660\ miles

3 0
3 years ago
Factor completely:<br> 6u^2·(2u−5)^2−12u^2·(2u−5)·(u+5)
In-s [12.5K]

6u²*(2u-5)²-12u²*(2u-5)*(u+5)

-90u²*(2u-5)

8 0
3 years ago
Read 2 more answers
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