Sara made 8 necklaces. She used 9 beads on each necklace. The beads came in bags of 6 each. How many bags
of beads did Sara need for all 8 necklaces?
8 bags
12 bags
15 bags
20 bags

The given expression, log₃(6c) + log₃₁(12), can be simplified as log₃(72c) with a coefficient of 1.

To express the given expression as a single logarithm with a coefficient of 1, we can use the product rule of logarithms. The product rule states that the sum of logarithms of two numbers multiplied together is equal to the logarithm of their product.

Apply the product rule to combine the two logarithms:

log₃(6c) + log₃₁(12) = log₃(6c * 12)

Simplify the expression inside the logarithm:

6c * 12 = 72c

Rewrite the expression using a single logarithm:

log₃(72c)

Therefore, the given expression, log₃(6c) + log₃₁(12), can be simplified as log₃(72c) with a coefficient of 1.

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Answer:

B log3 c/2

Next C log7 2 + log 7 49

Next log7 49 = 2

Next log 7 98 = 2.356

Step-by-step explanation:

The claim of Miguel is correct, as the two events are independent because P(NF|PB) = P(NF).

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

\(P(A|B)=\dfrac{P(A\cap B)}{P(B)}\)

The probability of event A, given that the event B is occurred.

Independent events are those events whose occurrences do not depend on the other events.

The two-way table shows the distribution of book style to genre is given as,

The first column has entries paperback, hardcover, total.

The second column is labeled Fiction with entries     20,   10,   30.

The third column is labeled nonfiction with entries    60,   30,  90.

The fourth column is labeled total with entries           80,  40,  120.

Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).

Suppose that two events are denoted by A and B. They are said to be an independent event if and only if:

\(P(A \cap B) = P(A)P(B)\)

Put the values as,

\(\dfrac{60}{120}=\dfrac{80}{120}\times\dfrac{90}{120}\\\dfrac{1}{2}=\dfrac{1}{2}\)

As both the values are equal. Thus, the claim of Miguel is correct because the two events are independent because P(NF|PB) = P(NF).

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Answer:

The correct answer is option A. :)

Step-by-step explanation:

Just got it right on edge - the above answer helped and is correct :D

Brainliest would be greatly appreciated!

Answer:

33

Step-by-step explanation:

3q + 3j

if q= 7 and j = 4​

3(7) + 3(4) = 21 + 12 = 33

Answer:

33

Dude, just plug in the numbers. You should have: 3(7) + 3(4). Then solve.

Step-by-step explanation:

Cos Milky Said it. Milky Smart.

Answer:

Step-by-step explanation:

Plot the coordinates and connect to get the figures.

See attached

Find the length of the corresponding sides and divide to find the scale factor:

The scale factor is:

Correct choice is C

Answer:

The guy above is right, the scale factor of the dilation is C. 0.5.

Hope this helps!

Step-by-step explanation:

Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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Answer:

.

Step-by-step explanation:

Answer:

73.13 m^2

Step-by-step explanation:

1/2(bh)

Pi(d)

The dimensions that maximize the area are, 96cm and 84cm.

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Let the height of poster be h and breadth be b,

bh = 15630cm square........(1)

Height of the printed area=h-10-10 = h - 20

(decrement of 10 from top and bottom)

the breadth of the printed area b-6-6 = b-12

(decrement of 9 from both sides)

for maximum printed area:

A=(h-20)(b-12) should be maximum

\(A = (h - 20)(\frac{15360 }{h}-12)\)

From equation (1)  

\(A = 15360-12h-\frac{307200}{h} +240\)

A = 15600 - 12h - (307200/h)

differentiate with respect to h (it should be=0)

\(\frac{dA}{dh}= 0-12 + \frac{307200}{h^2}\)

\(12 = \frac{307200}{h} \\h = 160 cm\)

from equation (1),

\(bh = 15630cm^2\\b = 96cm\)

dimension of printed area,

= h - 20

= 160 - 20

= 140 cm

= b - 12

= 96 - 12

= 84 cm

Therefore, the dimensions that maximize the area are, 96cm and 84cm.

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In this case, the correct expression to decide if x is not between 10 and 20 is d. not (x > 10 and x < 20).

Step-by-step explanation: We want to determine if x is not between 10 and 20.                                                                                             This means that x is either less than 10 or greater than 20.

Using De Morgan's Law, we can rewrite "not between 10 and 20" as "not (10 < x < 20)" or "not ((x > 10) and (x < 20))".

This is because the negation of "and" is "or" and the negation of "or" is "and".

So the correct expression to decide if x is not between 10 and 20 is d. not (x > 10 and x < 20). This means that if x is greater than 10 and less than 20, the expression will evaluate to false, and if x is less than or equal to 10 or greater than or equal to 20, the expression will evaluate to true.

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Answer:

O Yes, because 1 kilogram = 1000 grams, and 1 liter = 100 centiliters.

Yes, because 1 gram per liter is the same as 1 kilogram per centiliter.

Step-by-step explanation:

Because there are 36 total possibilities, the probability P (sum of 12 OR 5) is 7/36.

It is defined as the ratio of favorable outcomes to total outcomes; in other words, the probability is the number that indicates the likelihood of an event occurring.

Given data;

Total outcomes rolling a pair of dice =6×6=36

Probability obtaining the total of 12 is;

P(A) = 1/36

P(A) = 1/36

P(A) = 1/36

Probability of obtaining the total is less than 5:

P(B)=6/36

the probability of rolling the sum of 12 OR less than 5 is calculated as;

P(sum of 12 OR 5) = 1/36 + 6/36

P= 7/36

Hence,the probability P (sum of 12 OR 5) is 7/36.

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The silk density in g/cc if the specific gravity of the fiber is given as 1.32 is given as 1.32 g/cc.

Density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density. Grams per cubic centimetre are a typical unit of measurement for density.

For instance, whereas Earth has a density of 5.51 grammes per cubic centimetre, water has a density of 1 grammes per cubic centimetre. Another way to state density is in kilogrammes per cubic metre (in metre-kilogram-second or SI units). For instance, air weighs 1.2 pounds per cubic metre. In textbooks and manuals, the densities of typical solids, liquids, and gases are stated.

As we know that ,

Specific gravity = Density of object / density of water

1.32 = silk density / 1 g/cc

[Density of water is 1 g/cc]

Silk density = 1.32 x 1 g/cc

Silk density = 1.32 g/cc.

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the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t)

To determine the height of the flare in meters at any given time, we can use the composite function. The composite function is obtained by converting the height in feet to meters.

The conversion factor to convert feet to meters is 0.3048. So, we can multiply the height in feet by 0.3048 to get the height in meters.

Therefore, the composite function that can be used to determine the height, in meters, of the flare at any given time is:

h_meters(t) = 0.3048 * h(t)  Where h(t) is the height of the flare in feet, and h_meters(t) is the height of the flare in meters.

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Answer: the Slope (m) = infinity

12 words is 3/4 or 75% of the list

How many words are=

Find 100- 75=25%

25%= 1/4 = 3/4÷3

Then divide 75%/3= 12/3= 4

Now add 12words + 4 words = 16 words

Then answer is, there are 16 words

The equation for the Bowler world is c = $1.1g + $5,

The equation for the Lucky spares is c = $1.5g + $3.

and the cost is the same for 5 games and the cost is $10.5.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given the Bowler, World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game.

Part A

using g for the number of games and c for the cost

for Bowler World

charges for shoes = $5

cost for per game = $1.1

cost for g games = $1.1g

total cost c =  $1.1g + $5 ..........(1)

for Lucky spares

charges for shoes = $3

cost for per game = $1.5

cost for g games = $1.5g

total cost c =  $1.5g + $3 ..........(2)

B. if the cost used in both places is equal then equation 1 equals equation 2

so $1.1g + $5 = $1.5g + $3

1.5g - 1.1g = 5 - 3

0.4g = 2

g = 2/0.4

g = 5

and cost is c =  $1.1g + $5

c = 1.1*5  + 5

c = 5.5 + 5

c = $10.5

Hence equations are  c =  $1.1g + $5 and  c =  $1.5g + $3,

and the cost is same for 5 games and the cost is $10.5.

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Answer:

5

Step-by-step explanation:

45/9

Answer:

15 miles

Use the Pythagoras theorem

Answer: 15

Step-by-step explanation:

Let's start by stating what we are given

The perimeter is 36

One side length is 12

And the other given side is 9

Finally we have an unknown side x

The value of all the sides added together is the perimeter.

So add all the sides

12+9+x=36

21+x=36

Subtract both sides by 21

21-21+x=36-21

x=15

The value that represents the change in Tyler's account is n -180.

An operation in mathematics is subtraction. It is used to exclude words or objects from the phrase.

Let Tyler have n, in dollars, in the account.

He withdrew $250 from his bank account.

And later in the same week, $100 was deposited in the same account by Tyler.

To buy gas, he withdrew $30 again.

So, the amount of change in the account,

= total amount - (the transaction amounts)

= n -250 + 100 - 30

= n - 280 + 100

= n -180

Therefore, n -180 is the change in his account.

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When the problem asks to evaluate an expression often means to test certain variable with a specific value. However, in this case, evaluating this equation refers to solving it to see if the equation is true or false. So, let's solve it

The first step is to solve products:

Then, we solve the difference:

As you can observe, 17 isn't equal to 12, which means the initial expression is completely false.

Therefore, according to the evaluation, the expression is false.

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The time it will take for the sink to fill with just the hot water faucet open is 21.11 minutes.

Given that :

A sink has two faucets: one for hot water and one for cold water.

Time taken to be filled with just the cold water faucet = 5.4 minutes

Time taken to be filled with both faucets = 4.2 minutes

let x be the time taken to fill with just the hot faucet open.

Rate at which hot water fills the sink = 1/x

Rate at which the cold water fills the sink = 1/5.4

Rate at which both fills the tank = 1/4.3

This can be written as :

1/x + 1/5.4 = 1/4.3

(5.4 + x ) / 5.4x = 1/4.3

Cross multiply.

4.3(5.4 + x) = 5.4x

1.1x = 23.22

x = 21.11

Hence the time taken to fill the sink with just hot water open is 21.11 minutes.

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Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

The inequality that would represent the possible values for the number of drinks purchased, d, and the number of pretzels purchased p will be p + d ≤ 7.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.

From the information, Keilantra and her children went into a movie theater and will buy drinks and pretzels and she must buy no more than 7 drinks and pretzels altogether

In this case, the inequality will be p + d ≤ 7. It implies that they should not be more than 7.

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The measure of IJ is 29, when IJ is dilated by a scale factor of 2 to form I' J', and I' J' measures 58. Geometric figures in two or three dimensions can be expanded and contracted using dilation mathematics.

Dilation refers to the change in size without a change in shape of an object. The scale factor may also cause the object's size to either increase or decrease.

Dilation is hence the process of resizing or altering an object. It is a transformation that makes the objects smaller or larger by applying the provided scale factor. It is a transformation that makes the objects smaller or larger by applying the provided scale factor. The pre-image is the original figure, while the image is the new figure created as a result of dilation. Dilation comes in two varieties:

As an object experiences expansion, its size expands.

Contraction is the process of a thing getting smaller.

Given:

I'J' is IJ with the scale factor of 2.

so (IJ) × 2= (I'J)

(IJ) × 2 = 58

58 ÷ 2 = 29

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Answer:

y=-2x+5

Step-by-step explanation:

Suppose y=ax+b

(0,5);(1,3)

5=a*0+b;3=a*1+b

so a=-2,b=5

a. Using the Pythagorean Theorem, side c = 150 feet

b. Area = 5,400 ft²

c. Applying the converse of the Pythagorean Theorem, the triangle would be a right triangle if the sum of the squares of two sides equals the square of the other side.

The converse of the Pythagorean theorem states that if the sum of the squares of the two smaller sides of a triangle is equal to the square of the longer side, then the triangle is a right triangle.

a. Apply the Pythagorean theorem:

c = √(a² + b²)

c = ?

a = 90 feet

b = 120 feet

Substitute

c = √(90² + 120²)

c = 150 feet

b. Area = 1/2(a)(b) = 1/2(90)(120)

Area = 1/2(10,800)

Area = 5,400 ft²

c. Using the converse of the Pythagorean Theorem, we can check if the sum of the squares of two sides equals the square of the other side.

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Answer:

The answer is A-3.