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2 years ago

18. If 5x (14-x) = 0, then what does x equal?

Mathematics

1 answer:

Tomtit [17]2 years ago

5 0

Answer:

(D) 14

Step-by-step explanation:

5x (14-x) = 0

5(14)*(14-14)=0

70*0=0

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5) For the fraction 3/25, (a) write a percent and (b) write a decimal.

harkovskaia [24]

12% and 0.12 are the percentages and deciamls

5 0

2 years ago

ryan is seeling cookies to raise money for charity. he is selling chocolate chip cookies for $10 a package and sugar cookies for

Lapatulllka [165]

Answer:

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161

Step-by-step explanation:

Let

x ----> the number of packages of chocolate chip cookies sold

y ----> the number of packages of sugar cookies sold

we know that

$10x+4y=1,084$ -----> equation A

$x+y=205$ -----> equation B

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (44,161)

see the attached figure

therefore

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161

8 0

3 years ago

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, an

ArbitrLikvidat [17]

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate $= 8\frac{1}{2}\%=8.5\%$

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

$= \frac {8.5}{100}\times 12.99$

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

$= \frac {8.5}{100}\times 39.99$

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

3 0

3 years ago

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

____ [38]

Answer:

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form $a\cdot x^{2} + b\cdot x + c = 0$ , $\forall \,x \in\mathbb{R}$ . The procedure is presented below:

1) $a\cdot x^{2} + b\cdot x + c = 0$ (Given)

2) $a\cdot x^{2} + b \cdot x = -c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

3) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c$ (Compatibility with multiplication)

4) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

5) $(2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c$ (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

7 0

3 years ago

Read 2 more answers

Find the function rule.

Bond [772]

Finally figured it out :D

The function rules is:
y = -5x - 1

9 = -5(-2) - 1
4 = -5(-1) - 1
-1 = -5(0) - 1
-6 = -5(1) - 1
-11 = -5(2) - 1

4 0

3 years ago