Translate and solve: 30 times m is greater than −330. (Write your solution in interval notation.)

Answer:

The correct answer is 396586

Step-by-step explanation:

Answer:

7642

Step-by-step explanation:

Red books are 8 and blue books are 6.

The smallest unit of measurement is the inch (or inches, in plural). A foot is made up of twelve inches. In the metric system, one inch is equivalent to 2.54 cm. When measuring shorter distances, such the breadth of an eraser or the length of a pencil, inches are employed.

Give conditions

Total books = 11

Red book height = 1 inches

Blue book height = 2 inches

Total height = 14 inches

We assume that

8 red books and 3 blue books = 11 books { first condition is satisfied}

In inches case:

8 * 1 = 8 { red book height 1 inches}

3 * 2 = 6 {blue book height 2 inches}

total height = 8 +6 = 14 inches {second condition is satisfied}

since red books are 8 and blue books are 6.

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Answer:

22

Step-by-step explanation:

40 degrees

Step-by-step explanation:

hour hand = 5 and 1/3 hours

minute hand = 20 minutes = 4 hours on the clock

the different = 1 and 1/3 hours

each hour = 360 / 12 = 30 degrees

therefore the answer = 4/3 x 30 = 40 degrees

3x² - 2x + 15x - 10 can be factored by grouping as:

3x² - 2x + 15x - 10

= (3x - 2)(x + 5)

Explanation:

Group the first two terms and the last two terms together:

(3x² - 2x) + (15x - 10)

Factor out the GCF from each group:

3x(x - (2/3)) + 5(3x - 2)

Now we have a common factor of (3x - 2):

(3x - 2)(x + 5)

Step-by-step explanation:

3x² - 2x + 15x - 10

=x(3x-2)+5(3x-2)

=(x+5)(3x-2)

On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Use the variables a and y to represent the number of student and adult tickets sold, respectively.

Then write the following system of inequalities -

a ≥ 10 (they must sell a minimum of 10 student tickets)

y ≥ 55 (they must sell at least 55 adult tickets)

7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)

The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.

To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.

Alternatively, solve the system of inequalities using algebra.

First, simplify the third inequality by subtracting 7a from both sides -

10y ≥ 690 - 7a

Then, divide both sides by 10 -

y ≥ (690 - 7a)/10

This inequality represents the revenue constraint in terms of the number of student tickets sold.

Now combine the revenue constraint with the other two constraints -

a ≥ 10

y ≥ 55

y ≥ (690 - 7a)/10

Use substitution to solve for a in terms of y -

y ≥ (690 - 7a)/10

10y ≥ 690 - 7a

7a ≥ 690 - 10y

a ≥ (690 - 10y)/7

To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -

(690 - 10y)/7 ≥ 10

y ≥ 55

These inequalities can be simplified -

690 - 10y ≥ 70

y ≥ 55

The first inequality can be solved for y -

-10y ≥ -620

y ≤ 62

Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -

55 ≤ y ≤ 62

Now use the expression for a in terms of y to find the corresponding values of a -

a = (690 - 10y)/7

For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -

a ≥ 10

y ≥ 55

7a + 10y ≥ 690

For example, when y = 55 -

a = (690 - 10(55))/7 = 20

7a + 10y = 7(20) + 10(55) = 690

Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.

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Answer:

b. The method used to calculate the confidence interval has a 90% chance of producing an interval that captures the population mean number of annual pass holders in the park on any given day.

Step-by-step explanation:

The confidence interval calculated from the sample at a particular confidence level, gives a certain percentage of confidence based on the confidence level that the true mean of the population exists within the confidence interval Calculated.

For the scenario above, we can say that there is a 90% chance that the population mean number of annual pass holders in the park on a given day is within the interval (35, 51)

Answer:

φ = 0.34

Step-by-step explanation:

Given:

total number of observations = N = 100

chi-square test for independence χ2 = (4, N = 100) = 11.73

To find:

phi coefficient φ

Solution:

phi coefficient  φ is computed as:

φ = √( χ2 / n )

   = √ (11.73 / 100 )

   = √0.1173

φ = 0.3425

Answer:

maybe times the 6 by the 6 and the 3 by the 6 and the 7 by the 6 and the 8 by the 6 that could work hope this helped

Step-by-step explanation: so 6x6 6x3 6x7 6x8

to get 52416

Answer:

8736x6=52,416

Step-by-step explanation:

Favorite technique:

  8,736         (1. Multiply 6 by 6

x         6         (2. Multiply 3 by 6

-----------         (3.Multiply 7 by 6

                     (4. Multiply 8 by 6

Answer:

y= -1/3x + 2

Step-by-step explanation:

Answer:

y= -1/3x +1

Step-by-step explanation:

As long as the slope remains the same, the vertical shift can change to create a parallel equation.

Answer:

true

Step-by-step explanation: I hope this helps pls follow me, mark me as a brainiest, and like my post-bye have a good day!

Answer:

  no

Step-by-step explanation:

If you draw a line from the right end of the top base to the bottom base, parallel to the left side, you cut off a right triangle that has a bottom leg of 12 and two unknown sides (height, and slant length).

All you can say is that the unknown slant length is more than 12 units.

If you know the height, you can find the slant length (hypotenuse) using the Pythagorean theorem.

Answer:

RS

Step-by-step explanation:

If we flip triangle PQR, we can see that RS is congruent to PR

Congruent triangles are exact same triangles, but they might be placed at different positions. The diagram below, ΔPQR ≅ ΔSTR. Complete the statement PR ≅ RS.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

\(\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF\)

(|AB| denotes the length of line segment AB, and so on for others).

Given that the ΔPQR ≅ ΔSTR. Therefore, the sides that are equal are,

Therefore, the blank can be filled with RS.

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Answer:

52/20

Step-by-step explanation:

Common sense and simple math

They made 17 candles out of the wax.

The missing data is

If the company used 5110cm3 of wax, how many candles did they make?

Volume is the space occupied by a three dimensional object.

It is given that a candle is in the shape of a rectangular prism

The volume of the prism is given by Length * Breadth * Height

Volume of prism = 5 * 4 * 15 = 300 cu.cm

The total wax used by the company 5110 cu.cm

The total no. of candles is given by x

300 *x = 5110

x = 5110/300 = 17.03

Therefore they made 17 candles out of the wax.

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The kiddie pool can hold 128 pints of water which is equivalent to 16 gallons.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1 gallon is equal to 8 pints.

So, To obtain the number of pints in 16 gallons of water we have to multiply the total no.of gallons with a unitary pint value of 1 gallon which is,

= (16×8) pints.

= 128 pints.

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Answer: 128 pints

Step-by-step explanation:

1 gallon is 8 pints, 8 multiplied by 16 equals 128

Answer:

163.53

Step-by-step explanation:

if you divide 364.61 multiply by the tax...37.55483....then that minus the number...327.05517....then you divide by two...163.527585...rounded 163.53

The length of the bike path, to the nearest meter, is effectively illuminated by the light is 138 m

The missing diagram is attached with the answer.

The angle formed between the horizontal line and line of sight is called Angle of Elevation.

It can be seen in the diagram that

It is a right angled triangle if extended and

cos 23 degree = (length of the bike path)/Hypotenuse

Hypotenuse here is the point on a bike path is 150 m from the light

Therefore

cos 23 ° = x / 150

x = 0.92 * 150

x = 138 m

Therefore The length of the bike path, to the nearest meter, is effectively illuminated by the light is 138 m.

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Answer: C because it went left 9 and up 2 so it is C. Hope this helps!

Step-by-step explanation:

Answer:

24p=m

Step-by-step explanation:

Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

Answer:

A & D

Step-by-step explanation:

Answer:

I believe the area of the shape is 30.

Step-by-step explanation:

Area = (a + b) * h / 2

where a and b are the lengths of the two parallel sides and h is the height (or perpendicular distance) between them.

Using the information you provided, we can find the height of the trapezoid as follows:

h = 3 (since the top of the shape is 3)

Next, we can use the lengths of the two non-parallel sides to find the lengths of the parallel sides. To do this, we can subtract the shorter side from the longer side and divide the result by 2, and then add this to the length of the shorter side. This gives us:

a = 10 + (25 - 24) / 2 = 10.5

b = 10 + (24 - 25) / 2 = 9.5

Finally, we can use the formula for the area of a trapezoid to find the area of the shape:

Area = (a + b) * h / 2 = (10.5 + 9.5) * 3 / 2 = 30

B'C' = 3BC

Note:

When a figure is dilated by a scale factor, a similar figure of the same shape but of different size is formed.

When a triangle ABC is dilated by a scale factor of 3, the vertices of the image of ΔA'B'C' formed will have a distance from the center of dilation that is three times that of the vertices of ΔABC

Therfore:

A'B' = 3AB

B'C' = 3BC

A'C' = 3AC

The correct choice is option B

That is, B'C' = 3BC

Step-by-step explanation:

We need to write our function in the formula for Exponential Decay a(1-r)^x  

We can represent "a" in our equation as the original sample size for the substance (800 mg).

According to the formula, we need to subtract our rate of decay from 1. Remember! We CANNOT use the percent's decimal as a number. We need to convert the percent to a decimal. We do this by moving the decimal place backwards 2 places. 7.2% = .072

1 - .072 = .28

Now we have the equation f(x) = 800(0.28). But where are the variables? That is our next problem. If t is the number of years since 2001, then we need to multiply it by the rate of decay (.28t). Now there is only one variable left, which is y.
Our answer is f(x) = 800(.28t)^y

Answer:

B

Step-by-step explanation:

In parallelogram the corresponding angles should have the same angle measures

Answer:

The answer is B(40° and 140°)

Step-by-step explanation:

I did the question and got it right