Solve the two-step equation.

-0.45x + 0.33 = -0.66

What is the solution?

The inequality in standard form that will represent the maximum number of cans of apple juice and cans of pineapple juice Stewart can use would be = 240ounce = 10a + 18p.

The total quantity of fruit punch that would be used for the birthday = 240 ounce.

The quantity of juice each can holds for apple juice,a, = 10 ounces.

The quantity of juice each can hold for pineapple juice,p,= 18 ounces.

Therefore the best expression in standard form would be = 240ounce = 10a + 18p.

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Answer:

c) -1.75°

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 0, standard deviation of 1:

This means that \(\mu = 0, \sigma = 1\)

Find the reading that separates the bottom 4% from the others.

This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.75 = \frac{X - 0}{1}\)

\(X = -1.75*1\)

\(X = -1.75\)

The correct answer is given by option c.

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

513.45

Step-by-step explanation:

use intelligence

The correct justification for steps 1 and 2 are:

Step 1: calculate the amount of change

Step 2: use the formula

(amount of change / original amount) = (percent  change / 100)

Percentage is a measure of frequency that is used to determine the value of a number as an amount out of 100. The sign that represents percentage is %. In order to convert a number to percentage, multiply it by 100.

In order to determine the percent increase in score, the formula that would be used is:

Percent increase = (change in score / initial score) x 100

the following steps would be taken to determine the percent increase:

1. Determine the change in scores : new score - initial score

18 - 12 = 6

2. use the formula: (amount of change / original amount) = (percent  change / 100)

(6 / 12) = x /100

3. Cross multiply

12x = 600

Divide both sides of the equation by 12

x = 600 / 12

x = 50%

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Answer: The correct interpretations about the graph of r(t) are B, D, and E.

Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.

Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.

Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.

Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.

Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.

Step-by-step explanation:

Answer:

It should 120 students

Step-by-step explanation:

Answer:

120 students

Step-by-step explanation:

4/7×210=120

Given a right angle triangle

As shown:

Given ∠58

the opposite side to the angle = 22

The adjacent side to the angle = x

So,

solve for x:

round to the nearest whole number

So, the answer will be x = 14

Answer:

A

Step-by-step explanation:

(12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2)

Follow the order of operations, the first thing to do would be the parenthesis.

7.4 - 3.6 = 3.8

So, your answer would be A, Subtract 7 . 4 − 3 . 6.

Have a wonderful day!

Answer:

A hope you get it right

(☞ﾟヮﾟ)☞     ¯\_(ツ)_/¯

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

The coordinates of the image are -2P

From the question, we have the following parameters that can be used in our computation:

Ry = -2(P)

To calculate the coordinate of the image, we simply open the bracket

So, we have

Ry = -2(P)

Solving further, the equation can be represented as

Ry = -2 * P

Evaluate the product

So, we have the following representation

Ry = -2P

Hence, the image has an coordinate or ordered pair of -2P

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Answer:

1/2 is 1 example

Step-by-step explanation:

what

A fraction that is less than 5/8 is 4/8

The fraction is given as:

Fraction = 5/8

A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8

Take for instance, the numerator can be

1 to 4

So, we have;

Smaller fraction = 4/8

Hence, a fraction that is less than 5/8 is 4/8

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The requried, there are 240 possible ways the race can finish with a mouse placing first, second, and third.

To find the number of ways the race can finish with a mouse placing first, second, and third, we can use the concept of permutations.

Since the mouse is guaranteed to finish first, there are 5 mice to choose from for the first position.

Once the first place is determined, there are 4 mice left for the second position.

After the first two positions are filled, there are 3 mice left for the third position.

Now, we need to determine the order of the cats. There are 4 cats to choose from for the fourth position.

The total number of ways the race can finish with a mouse placing first, second, and third is given by the product of these choices:

Number of ways = 5 (for first place) * 4 (for second place) * 3 (for third place) * 4 (for fourth place)

Number of ways = 5 * 4 * 3 * 4

Number of ways = 240

There are 240 possible ways the race can finish with a mouse placing first, second, and third.

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a:1/6×18/1=18/6 when simplified is 3

b:4/6×18/1=72/6 when simplified is 12

c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.

Answer:

42 large 2 small

Step-by-step explanation:

pls pls make me branerlist

the slope is -14/6 or the simplified version is -7/3

The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90  .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

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The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Answer:

17.24

Step-by-step explanation:

find the difference between 29 and 34. Then divide by 29 and multiply by 100. 34-29=5/29=0.1724 multiply by 100 =17.24%

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:

-8

Step-by-step explanation:

→ Rearrange into y = mx + c format

y = 6x - 8

→ Find the y - intercept

-8

Given data:

N=74

Equation:

To find the temperature T given N=74 substitute in the equation the N by 74 and evaluate to get the corresponding value of T:

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer: X = 7.

Step-by-step explanation: Move all terms that don't contain x to the right side and solve.

I'll go step-by-step.

1. Add 5 to both sides. 6x-(5+5)=37+5

2. Simplify 6x=42

3. Divide both sides by 6.   \(\frac{6x}{6} =\frac{42}{6}\)

4. Then simplify/Divide. 42 / 6 = 7  

That's how you get 7!

X = 7

Hey there!

6x - 5 = 37

ADD 5 to BOTH SIDES

6x - 5 + 5 = 37 + 5

CANCEL out: -5 + 5 because it gives you 0

KEEP: 37 + 5 because it help solve for the x-value

NEW EQUATION: 6x = 5 + 37

SIMPLIFY IT!

6x = 42

DIVIDE 6 to BOTH SIDES

6x/6 = 42/6

CANCEL out: 6/6 because it give you 1

KEEP: 42/6 because it gives you the x-value

NEW EQUATION: x = 42/6

SIMPLIFY IT!

x = 7

Therefore, your answer is: x = 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The IV will run \(66.67 \ ml /hr\)

Step-by-step explanation:

From the question we are told that

   The mass of Magnesium sulfate is  \(m_g = 30 \ g\)

   The volume of the Magnesium sulfate  \(V_R = 500ml\)

   The rate at which the dose of the solution (Magnesium sulfate + Lactated Ringers. ) is infused is  \(R = 4g/hr\)

The concentration of Magnesium sulfate in Lactated Ringers  is mathematically evaluated as

         \(C_m = \frac{m_g}{V_R}\)

substituting values

          \(C_m = \frac{30}{500}\)

          \(C_m = 0.06\ g/ ml\)

This implies that

     0.06 g of Magnesium sulfate is in every 1 ml of  Lactated Ringers

So  4 g  of  Magnesium sulfate is in x ml of  Lactated Ringers

So

        \(x = \frac{4}{0.06}\)

       \(x = 66.67 \ ml\)

So the amount of the solution in ml that is been infused in 1 hour is  

      \(66.67 \ ml /hr\)

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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The value of the variable "x" is 11.

We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".

The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.

∠LMK + ∠LMN = 180°

∠LMK + (7x + 5)° = 180°

∠LMK = 180° - (7x + 5)°

In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠K + ∠L + ∠M = 180°

(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°

3x +19 + 2x + 8 + 180 - 7x - 5 = 180

-2x + 22 = 0

2x = 22

x = 11

Hence, the value of the variable "x" is 11.

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The angle is 16 degrees or 164 degrees.

Any triangle that is not a right triangle is said to be oblique. There are two types of triangles: acute triangles, in which all three angles are less than right angles, and obtuse triangles (one of the three angles is greater than a right angle). Actually, right triangles could equally well be included in the category of "oblique triangles" for trigonometric purposes. In that case, studying oblique triangles is basically studying all triangles.

Given, the area of an oblique triangle which is going to be used as an area of the formula backward to find a missing measure.

We know two side lengths of the triangular region 60 ft and 1 20 ft

Area = 1000-square-foot

A= 1/2*60*120=1000

A=3600=1000

Dividing both sides with 3600,

We get an angle of 16 degrees.

But it is also possible that the area will be the same. If we use this in supplementary angle as well we get,

180-16 = 164 degrees.

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Answer:

I think the answer is For a basic oil change in Seattle you can expect to pay somewhere between $40 and $70

Step-by-step explanation:

I hope this helps. Have a good Day!