In one season a basketball player made 65% of her free throws. How many free throws did she attempt if she made 117 free throws?

Answer:

Step-by-step explanation: -3/2 divided by 9/6

= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1

Hope this helps lol

The simplified result is -1. The correct option is b.

Given that:

Expression, -3/2 ÷ 9/6

To solve the given expression, follow as:

Rewrite the division as multiplication by the reciprocal of the second fraction.

-3/2 ÷ 9/6 = -3/2 × (6/9)

Now, simplify the fractions:

-3/2 × (6/9) = -3/2 × (2/3)

-3/2 × (6/9) = - (3 × 2)/(2 × 3)

-3/2 × (6/9) = -6/6

Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:

-6/6 = -1

So, the simplified result is -1. The correct option is b.

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Complete question:

Simplify Negative 3 over 2 divided by 9 over 6.

a. −4

b. −1

c. 4

d. 1

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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To find the interest Ana must pay on the loan, we can use the formula:

Interest = Principal x Interest Rate x Time (in days) / 365

What's the math rate?

A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

In this case:

Interest = $5000 x 8% x 75 / 365 = $200

So, Ana must pay $200 in interest on the loan.

To find the total amount due at maturity, we add the interest to the principal:

Total Due = Principal + Interest = $5000 + $200 = $5200

So, Ana will need to pay $5200 at maturity.

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Step-by-step explanation:

Diego has run  2/3 of a race's

Let total distance of the race = y

He has run 8 & 1/2 kilometers.

This means 2/3 of y = 8 & 1/2 km

How long is the whole race?

2 / 3  x  y  = 8 & 1/2

The following equations can be used to calculate the distance of the whole race;

8 & 1/2 divided by 2/3 = ?

2/3 x ? = 8 & 1/2

8 & 1/2 times 3/2 = ?

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

the proportion of workers from company B who purchsed coffee was pˆC=0.75

Step-by-step explanation:

Answer: pˆC=0.75

Step-by-step explanation:

Answer:-8

Step-by-step explanation: you add -1+ -1, to get -2, then -2+-2, to get -4 and so forth.

The missing term is -8.

The complete sequence is –1, –2, –4, -8, –16, –32.

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

Given:

–1, –2, –4, ?, –16, –32.

The sequence is a geometric sequence.

So, we will find the common ratio,

r = -2/-1 = 2

The general formula of geometric sequence,

aₙ = a₁(r)ⁿ⁻¹

a₄ = (-1)(2)⁴⁻¹

a₄ = (-1)(8)

a₄ = -8

Therefore, the missing term is -8.

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The probability of the complement of the event is 0.05.

The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.

Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.

In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.

This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.

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75 miles per hour is the rate of train.

Formula of speed = distance/time

let,

s1 , speed of A train = s

s2, Speed of B train = s

t1, time of travel for train A = 2.5h

t2, time of travel for train B = 4 h

d1, distance traveled by train A

distance travel by train A = speed*time

                                         = s1*t1

d2, distance traveled by train B

distance travel by train A = speed*time

                                         = s2*t2

Total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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75 miles per hour is the rate of the train.

Given:

Find:

Solution:

Formula of speed = distance/time

Let us consider

Speed of A train(s1) = s

Speed of B train(s2) = s

Time of travel for train A(t1) = 2.5h

Time of travel for train B(t2) = 4 h

Distance traveled by train A(d1)

                                        = speed*time

                                        = s1*t1

Distance traveled by train B(d2)

                                        = speed*time

                                        = s2*t2

The total distance between station A  and station B = 562.5 mi

d1+d2=562.5 mi

s1t1+s2t2=562.5

s(2.5)+s(4)=562.5

6.5 s = 562.5

s = 562.5/6.5

s = 86.5 mph

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An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

The measure of angle RIA is 55 degrees, option A is correct.

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

We have to find the measure of angle RIA

The opposite angle of RIA is LIK

Let us find the measure of LIK

∠FIL+∠LIK+∠KIN=180

30+∠LIK+95=180

∠LIK + 125 =180

Subtract 125 from both sides

∠LIK = 180 - 125

=55 degrees

∠LIK is equal to ∠RIA

∠RIA = 55 degrees

Hence, the measure of angle RIA is 55 degrees, option A is correct.

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Work Shown:

\(\sin^2(\theta) + \cos^2(\theta) = 1\\\\\sin^2(\theta) + \left(\cos(\theta)\right)^2 = 1\\\\\sin^2(\theta) + \left(\frac{10}{17}\right)^2 = 1\)

As the name implies, the pythagorean identity uses the pythagorean theorem for right triangles. The 1 on the right hand side is the length of the hypotenuse, which is the radius of the unit circle.

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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Answer:

D 0.89275

Step-by-step explanation:

The algebraic expression 0.4 · (k + 3) is equivalent to the algebraic expression 0.4 · k + 1.2 according to algebra properties. (0.4 · (k + 3) = 0.4 · k + 1.2) (Correct choice: A)

In this question we must determine if the algebraic expression 0.4 · (k + 3) is equivalent to 0.4 · k + 1.2, that is, the former expression must lead to the latter expression by means of algebra properties. First, write the definition for the former expression:

0.4 · (k + 3)

Second, use the distributive property for real numbers:

0.4 · k + 0.4 · 3

Third, use the definition of multiplication for each term of the sum of real numbers:

0.4 · k + 1.2

Therefore, the two algebraic expressions are equivalent in accordance by algebra properties.

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Answer:

false

false

true

false

true

Step-by-step explanation:

brainliest?

Answer:

\(y = \frac{-5}{3}\\\\y = \frac {4}{3}\)

Step-by-step explanation:

\(y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\\)

Answer:

1 a. commutative property of multiplication

b. distributive property of multiplication

2 x=23\12

-x = -23\12

-23\12+23\12=0

thus -(-x)+x

Answer:

See below ↓

Step-by-step explanation:

1.

2.

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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Answer:

The reciprocal of 5 is 1/5. Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal. Reciprocals are used when dividing fractions.

 Hope this helps have a good day and God bless! <3

Answer:

Step-by-step explanation:

.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores

Answer:

To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.

The area of a circle is given by the formula πr^2, where r is the radius.

The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.

The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.

The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.

So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.

If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.

Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.

Answer:   \(\frac{3}{4}\)c

Step-by-step explanation:

       If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):

               3/4c

- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.

- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.

The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:

\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)

Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.

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Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:

Yo, listen up, the parallelogram is where it's at,

A shape so brilliant, the angles are sat.

Parallel sides that never converge,

Internal angles that never diverge.

Each side an equal length,

A geometry prodigy's dream length.

The diagonals intersect, another line through the middle they meet,

Creating symmetry so neat.

A rectangle it could be,

But it's oblong, not square, can't you see?

With depth and width in perfect balance we see,

A two-dimensional form of complexity.

While the square is simple, the parallelogram is hip,

A mathematical masterpiece, skip, skip, skip!

four right angles keep the shape so tight,

Parallel lines dominate left and right.

Rotated or reflected without a care,

Its structural integrity beyond compare.

triangles form at each corner you'll note,

Acute or obtuse, depends on the protractor's groove.

A versatile shape with reason and purpose galore,

The parallelogram, simply, carries the floor.

From geometry to art, its angles they intrigue,

As a basis for patterns, its potential we can truly plug.

A forgotten form that deserves more acclaim,

Put the parallelogram on geometry's game!

This shape so underrated, rarely appreciated it seems,

But with logic and virtue, strong foundations it gleams.

The parallelogram, the parallelogram, Hooray!

This is why the parallelogram is the best shape, I say!

Answer: 1.82 m

Step-by-step explanation:

Ratios

0.14     n              0.14 x 13 = 1.82

 1.         13                    1.82/1 = 1.82