How many pounds of $2.4/lb trail mix should a grocer combine with 5 lb of $1.5/lb trail mix to get $1.9/lb trail mix?

One way to show a function is 1-1 is to show that if two outputs are the same, then the inputs had to have been the same as well:

   If f(a) = f(b), then a=b.

If you can show this, you've shown that each output is paired with a unique input, so the function is 1-1.

For this function, we'd first start assuming that f(a) = f(b):

              f(a) = f(b)

         -3a+5 = -3b+5

Now we'll solve this for a:

        -3a + 5 = -3b + 5

   -3a + 5 - 5 = -3b + 5 - 5

               -3a = -3b

      -3a ÷ (-3) = -3b  ÷ (-3)

                   a = b

This shows that the only way the outputs are the same is if the inputs are the same, which means each output comes from a unique input, so the function is 1-1.

On average, someone who buys a ticket can expect to make a profit of $2.43 as the expected value for someone who buys a ticket is $2.43.

It is the average amount of money that an individual can expect to win or lose on an investment. It is calculated by multiplying the probability of each outcome by its payoff and then adding the expected values of all outcomes.

In this case, the probability of winning= 1/737

and the payoff = $1800 - $8

= $1792.

The expected value (EV) is calculated by multiplying the probability of each outcome by its payoff.

EV = (1/737) x (1792)

EV = $2.43

Therefore, the expected value for someone who buys a ticket is $2.43. This means that, on average, someone who buys a ticket can expect to make a profit of $2.43.

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Answer:

Commutative Property of Multiplication

I hope this helps you :D

Commutative

The commutative property tells us that two addition and multiplication sentences are equal no matter the order.

For example:

3+4=4+3

6 x 5= 5 x 6

Hope this helps. Please give brainiest.

Answer:  x = -3/2

Step-by-step explanation:

She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question as:

\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)

Divide the leading term of the dividend by the leading term of the divisor:

\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)

Write down the calculated result in the upper part of the table.

Multiply it by the divisor

\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

Thus, Jason made a mistake in multiplying 2x²+1 by -2x².

Hence, the correct answer would be option (B).

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Answer:

IG=28.9 ft

Step-by-step explanation:

we know that

In the right triangle GHI

----> by CAH )adjacent side divided by the hypotenuse)

substitute the given values

solve for IG

see the attached figure to better understand the problem

Answer:

H=38.2466≈38.2

Step-by-step explanation:

Answer:

4th option is correct

Step-by-step explanation:

\(8 x - 4 = 6 - 3 x\)

\(8x−4+3x=6\)

\(11x−4=6\)

\(11x=6+4\)

\(11x=10\)

Answer:

option 4 ,

x=10/11

is the answer of your question

explanation is attached below .

hope it is helpful to you

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

D. 96

F. 32

Step-by-step explanation:

The inequality 3x ≥ 96, means that x and 3 must be multiplied to get a product that is greater than 96.  So to figure this out, you must plug in the numbers given for x, like so:

3x ≥ 96

A. 3(31) ≥ 96

     93 ≥ 96                            This is incorrect since 93 is not greater than 96

A tip that makes this easier is that, you can see that 31 multiplied by 3 is 93, which is only a couple numbers off 96, so all numbers after 31 will result in a product greater than 96. For example:

D. 3(96) ≥ 96

    288 ≥ 96                             This inequality is correct

F. 3(32) ≥ 96

   96 ≥ 96                        

The inequality sign states that the number must be either greater or equal to 96, which it is.

If the total bill is $1.75, then Sirak buys near about 6 eggs.

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable x ax² + bx + c = 0. The fundamental theorem of algebra guarantees that it has at least one solution because it is a second-order polynomial equation.

By the given condition, we can frame the equation as

                 x(x - 8) + (x - 2)(x - 3) = 1.75

                 x² - 8x + x² - 5x +6 = 1.75

                 2x² - 13x + 6 - 1.75 = 0

                 2x² - 13x + 4.25 = 0

Solving the above quadratic equation, we get

                       x=6.15474 (or) x=0.345262

Discarding x=0.345262.

Hence, If the total bill is $1.75, then Sirak buys near about 6 eggs.

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Answer:

19/20

Step-by-step explanation:

He got 4 incorrect, meaning he got 80-4 correct.

80-4 = 76.

Fraction = 76/80 = 38/40 = 19/20.

Answer:

19/20

Step-by-step explanation:

\(\frac{80-4}{80} =\frac{76}{80} =\frac{19}{20}\)

Hope this helps

how many pounds does he feed his dogs for each meal?

Answer:

D

Step-by-step explanation:

y is directly proportional with x with a constant value.

The constant value ＝y ÷ x ＝35÷2.5 ＝14

y＝14x

y＝14×3.25＝45.5

Answer:

B. 10 in.

Step-by-step explanation:

When you do length times width times height 10*10*10 equals 1000

10*10=100 and 100*10=1000

Answer:10 feet

Step-by-step explanation:

edge=\(\sqrt[3]{1000}\)= 10 so the answer is B

Answer:

35 if the n are m but while im her pla help me with my question i rilly need the answer its ergent thnx

Step-by-step explanation:

Answer:

5m+15n+5

Step-by-step explanation:

Combine like terms

10m-5m = 5m

12n+3n = 15n

5m+15n+5

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Applying the definition of complementary angles, we have:

1. The measure of the angle is 52.5°

2. The measure of the angle is 72°

3. The measure of the angle is 50° and its complement is 40°.

4. One angle measures 54°, and its complement measures 36°.

Complementary angles are two angles whose measures add up to 90 degrees (a right angle). In other words, if you have two angles, A and B, and they are complementary, then A + B = 90 degrees.

1. Let x be the measure of the angle, then its complement is (90 - x) degrees.

The problem tells us that the measure of the angle is 15 degrees more than its complement, so we can set up an equation:

x = (90 - x) + 15

Simplifying this equation, we can solve for x:

x = 90 - x + 15

2x = 105

x = 52.5

Therefore, the measure of the angle is 52.5 degrees, and its complement is 37.5 degrees.

2. Let x be the measure of the angle, then its complement is (90 - x) degrees.

The problem tells us that the measure of the angle is four times the measure of its complement, so we can set up an equation:

x = 4(90 - x)

Simplifying this equation, we can solve for x:

x = 360 - 4x

5x =360

x = 72

Therefore, the measure of the angle is 72 degrees, and its complement is 18 degrees.

3. Let x be the measure of the angle, then its complement is (90 - x) degrees.

x = 2(90 - x) - 30

Simplifying this equation, we can solve for x:

x = 180 - 2x - 30

3x = 150

x = 50

Therefore, the measure of the angle is 50 degrees, and its complement is 40 degrees.

4. Let x be the measure of one angle, then the measure of its complement is (90 - x) degrees.

x - (90 - x) = 18

Simplifying this equation, we can solve for x:

2x - 90 = 18

2x = 108

x = 54

Therefore, one angle measures 54 degrees, and its complement measures 36 degrees.

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Answer:

In 5 hours, the migrating bird will frly 215 miles.

Step-by-step explanation:

Since the bird flys 688 miles in 16 hours we need to find the unit rate. So i divided 16 by the 16 hours which gave me 1, so i also divided 688 by 16 and i got 43. So the bird flys 43 miles in a hour. We are not done yet because we need to find how many miles in 5 hours. So we multiply the 43 miles by 5 and got 215, and i also multiplied the 1 hour bye 5 and got 5. Last but not least, the migrating bird will fly 215 miles in 5 hours. I hope that this will help you out.

Answer:

here ,

origin means (0,0)

so ,

h and k are 0 and 0

and diameter ( d) is 4

r = d/2

using formula

(x-h)^2 +( y-k)^2 = r^2

(x-0)^2 +( y-0)^2= 2^2

x^2+y^2= 4 is the equation.

Answer: The answer is 4 * 9 = 36, So Mr. Herrera can make 36 sevings.

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

1 is correct answer or not please reply me

The list of all sets which are subsets of the given set; {Lennon, McCartney} as required is; { }, {Lennon}, {McCartney}, {Lennon, McCartney}.

It follows from the task content that the list of all subsets of the given set is to be determined.

It is noteworthy to know that the empty set, {} is a subset of all sets.

Also, if all the elements of a set A are present in another set B; it can be inferred that the set A is a subset of set B.

On this note, the list of all sets which are subsets of the given set; {Lennon, McCartney} is; { }, { Lennon }, { McCartney }, { Lennon, McCartney }.

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Answer: -2

Step-by-step explanation:

The slope of the line perpendicular to another slope is the opposite sign and flipped(reciprocal)

The slope of the line = 1/2

So the perpendicular slope = -2

The formula for the area of wedge is,

Determine the area of wedge with theta = 45 degree and d = 18 in.

So area of wedge is 31.8 in^2.

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

\( \boxed{\sf Option \: A\text{:} \: \dfrac{1 + \sqrt{-32}}{4} = \dfrac{1}{4} + \sqrt{2}i} \)

\( \\ \\ \)

We are asked to express the given number in the form a + ib, also known as the algebraic form.

\( \\ \\ \)

\( \\ \\ \)

\( \sf z = a + ib \\\)

Where:

✰ a and b are real numbers and are the complex number's real part and imaginary part, respectively.

\( \\ \\ \)

✰ i is the imaginary unit number and can be expressed as follows:

\( \\ \sf i= \sqrt{-1}\)

\( \\ \\ \)

\( \\ \\ \)

\( \sf z = \dfrac{1 + \sqrt{-32}}{4} = \dfrac{1 + \sqrt{32 \times (-1)}}{4} \\ \\ \\ \sf \diamond \: We \: know \: that \: \sqrt{ab} = \sqrt{a} \times \sqrt{b}. \\ \\ \implies \dfrac{1 + \sqrt{32 \times (-1)}}{4} = \dfrac{1 + \sqrt{32}\times \sqrt{-1}}{4}\)

\( \\ \\ \sf \implies \dfrac{1 + \sqrt{32}\times \sqrt{-1}}{4} = \dfrac{1 + \sqrt{16 \times 2} \times \sqrt{-1}}{4} = \dfrac{1 + 4\sqrt{2} \times \sqrt{-1}}{4}\)

\( \\ \\\)

\( \diamond \: \sf Substitute \: \sqrt{-1} = i. \\ \\ \implies \sf \dfrac{1 + 4\sqrt{2}\times \sqrt{-1}}{4} = \dfrac{1 + 4\sqrt{2} \times i}{4} = \dfrac{1 + 4i\sqrt{2}}{4} \)

\( \\ \\ \: \sf \diamond \: Simplify \: knowing \: that \: \dfrac{a + b}{c} = \dfrac{a}{c}+\dfrac{b}{c}. \)

\( \\ \\ \\ \implies \: \sf \dfrac{1 + 4i\sqrt{2}}{4} = \dfrac{1}{4} + \dfrac{4i\sqrt{2}}{4} = \boxed{\sf \dfrac{1}{4} + \sqrt{2}i} \)

\( \\ \)

Therefore, the first option is correct.

\( \\ \\ \\ \)

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