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3 years ago

Two pounds of grapes cost $6. Using this rate, how much would 1 pound of grapes cost?

Mathematics

2 answers:

Leni [432]3 years ago

6 0

This would cost 3 dollars

drek231 [11]3 years ago

3 0

Divide the original answer by two because you’re trying to find half and the answer is $3

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Which expression is equivalent to the product of p+7/3 and 6/p , where p is not equal to 0?

vichka [17]

Answer:

$\frac{(6p+14)}{p}$

Step-by-step explanation:

$(p+\frac{7}{3})(\frac{6}{p})$

Making denominator same in first bracket we get

$(\frac{3p+7}{3})(\frac{6}{p})$

$(\frac{(3p+7)*6}{3*p})$

Dividing 6 by 3 we get 2

$(\frac{(3p+7)*2}{p})$

using distributive law

$(\frac{6p+14}{p})\\$

Hence this is our answer

8 0

3 years ago

Read 2 more answers

Find the perimeter and the area of the polygon with the given vertices.

7nadin3 [17]

Answer:
Area : 45 Perimeter : 2,025

Explanation:
Area: 5 times 9 equals 45. The 5 is the polygon’s base, the 9 is the polygon’s height.
Perimeter: 5 times 5 times 9 times 9 equals 2,025. Perimeter is base times base times height times height.

Glad I could help! :)

3 0

3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

2 years ago

For what value of y must QRST be a parallelogram?<br> A: 1<br> B: 2<br> C: 3<br> D: 0.5

Reika [66]

Answer:

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

3x = 3

x = 1

y = x

y = 1

8 0

3 years ago

Read 2 more answers

The square root of 83 can be platted on the number line below

wel

The answer is some number between 9 and 10.
Explanation:
√83
is an irrational number. You won't be able to simplify it any further either, since it doesn't have any perfect square factors.
However, you will be able to tell between which two numbers it lies in.
9^2 is 81 and 10^2 is 100
. Therefore, you can say that a certain number between 9 and 10 is 83 when squared.
If you're looking for an exact answer, then it will be 9.11043357914... (I got that using a calculator).

8 0

3 years ago