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3 years ago

Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1

Mathematics

1 answer:

mash [69]3 years ago

6 0

Answer: HI your question is incomplete/poorly attached below is the complete question

answer

( a + 3 ) , ( b + 2 )

Step-by-step explanation:

Given expression = ab + 2a + 3b + 6

factorizing the expression completely we will have

= a( b + 2 ) + 3 ( b + 2 )

hence the factors of the expression = ( a + 3 ) , ( b + 2 )

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" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a

ASHA 777 [7]

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

Taking the value of π = 3.14.

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = $2\frac{5}{8}=\frac{21}{8}\ inches.$

Thus radius (r) = Diameter ÷ 2 = $\frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.$

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}$

$Volume=3.14\times 1.31\times 1.31\times 2$

$Volume=10.78\ inches^3.$

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = $2\frac{7}{8} =\frac{23}{8} \ inches.$

Thus radius (r) = Diameter ÷ 2 $=\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.$

$Volume = \frac{4}{3} \pi r^3$

$Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}$

$Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44$

$Volume=12.47\ inches^3.$

The volume of one scoop of ice cream = 12.47 inches³.

So, as the volume of scoop of ice cream is more than the volume of cone.

Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.

Therefore, no the cone will not hold all of the ice cream.

5 0

3 years ago

Which equation can be used to find one-tenth of 119.9

mel-nik [20]

To find one tenth of 119.9 just divide 119.9 by 10

3 0

3 years ago

Evaluate each expression : 12 - |-8| 7 =

I am Lyosha [343]

In guessing the expression is 12-8x7 So the answer is 28

7 0

3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

8 0

3 years ago

The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be

nalin [4]

Condition (A) P(B/A) = y is true.

<h3>What is probability?</h3>

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the true condition:

If two events are independent, then:

Pr(A∩B) = Pr(A) . Pr(B)

Use formulas for conditional probabilities:

Pr(A/B) = Pr(A∩B) / Pr(B)
Pr(B/A) = Pr(B∩A) / Pr(A)

For independent events these formulas will be:

Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)

Now in your case, Pr(A) = x and Pr(B) = y.

Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y

Therefore, condition (A) P(B/A) = y is true.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The complete question is given below:

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

a. P(B|A) = y

b. P(A|B) = y

c. P(B|A) = x

d. P(A and B) = x + y

e. P(A and B) = x/y

5 0

2 years ago