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Dmitriy789 [7]
2 years ago
15

Which factorization could represent the number of water bottles and weight of each water bottle?

Mathematics
1 answer:
motikmotik2 years ago
8 0

The factorization that could represent the number of water bottles and weight of each water bottle is 12(5x^2 + 4x + 2). Option B

<h3>What is factorization?</h3>

The term factorization has to do with the process of obtaining common factors in an expression. It involves dividing each term in the expression with a factor that is common to all the terms in the expression.

The factorization that could represent the number of water bottles and weight of each water bottle is 12(5x^2 + 4x + 2).

Learn more about factorization:brainly.com/question/19386208

#SPJ1

Missing parts;

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle? 6(10x2 + 8x + 2) 12(5x2 + 4x + 2) 6x(10x2 + 8x + 2) 12x(5x2 + 4x + 2)

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First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using
tatuchka [14]

Answer:

-0.5 ,0.75

Step-by-step explanation:

4 \times t^{2}=t+6&#10;

\therefore 4 \times t^{2}-t-6 = 0

therefore t=\frac{1\mp\sqrt{1+24}}{8}

[                 =\frac{1\mp\sqrt{25}}{8}

                         = -0.5,0.75

3 0
3 years ago
3.3^(2x+1)-103^x+1=0 need value of x
photoshop1234 [79]

Answer:

The value of x is approximately -1.531.

Step-by-step explanation:

Let 3.3^{2\cdot x + 1}-103^{x+1} = 0, we proceed to solve this expression by algebraic means:

1) 3.3^{2\cdot x + 1}-103^{x+1} = 0  Given

2) 3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0 a^{b}\cdot a^{c} = a^{b+c}

3) (3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0 (a^{b})^{c} = a^{b\cdot c}

4) (3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0 (a^{b})^{c} = a^{b\cdot c}/Commutative property

5) \left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0 Existence of multiplicative inverse/Definition of division/Modulative property/a^{b}\cdot a^{c} = a^{b+c}

6) \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3} Existence of additive inverse/Modulative property/(a^{b})^{c} = a^{b\cdot c}

7) \log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3} Definition of logarithm.

8) 2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}     \log_{b} a^{c} = c\cdot \log_{b} a

9) 2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3      \log_{b} \frac{a}{d}

10) x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3     \log_{b} a^{c} = c\cdot \log_{b} a/Associative property

11) x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}   Existence of multiplicative inverse/Definition of division/Modulative property

12) x \approx -1.531  Result

The value of x is approximately -1.531.

4 0
3 years ago
In the right triangle shown, \angle B = 60^\circ∠B=60
Liono4ka [1.6K]

Answer:

Part 1) AC=6\sqrt{3}\ units

Part 2) AC=12\sqrt{3}\ units

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB  and the right angle is C

we know that

In the right triangle ABC

sin(B)=\frac{AC}{AB} ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(60^o)=\frac{AC}{12}

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{AC}{12}

AC=6\sqrt{3}\ units

Problem 2

The hypotenuse is the segment BC  and the right angle is A

we know that

In the right triangle ABC

tan(B)=\frac{AC}{AB} ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(60^o)=\frac{AC}{12}

Remember that

tan(60^o)=\sqrt{3}

substitute

\sqrt{3}=\frac{AC}{12}

AC=12\sqrt{3}\ units

5 0
3 years ago
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 6 minutes?
mars1129 [50]
10:15

15/10

15/10*6/1=9 gallons

We take the ratio times the minutes to get the answer!

Hope this is helpful!
5 0
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5.5 move decimal place over twice 20*.055 =$1.1 in sales tax
8 0
3 years ago
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