Caffeine leaves a child's body at a rate of 15 % per hour . A child drinks a beverage containing How long until half the caffiene is gone ?

Answer:

5) 27/70

6) 90

Step-by-step explanation:

5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".

18 + 15 + 27 + 10 = 70.

Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.

6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.

Answer:

5) 27/70

6) 90

Step-by-step explanation:

5)

What is the probability of spinning green?

Here are all of the values in the table:

Red = 18

Yellow = 15

Green = 27

Purple = 10

Add them together

= 70

Write green / total as a fraction

27/70

6)

Red = 18

Yellow = 15

Green = 27

Purple = 10

Write red / total (70) as a fraction

18/70

Multiply both the numerator and denominator by 5 to get a denominator of 350

18 * 5 / 70 * 5

90/350

Remove the denominator to find how many times he chose red out of 350 trials

90

Hope this helps :)

Answer:

147 mins

Step-by-step explanation:

7938/54

Answer:

147 minutes (2 hours, 27 minutes)

Step-by-step explanation:

7938/54

Answer:

I don't know if I'mwrong right or worng because I got the same answer -1,4

Step-by-step explanation:

The solution of the system as an ordered pair is (-1, 4).

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

A system of equations.

y = 7x + 11   {equation 1}

y = −3x + 1    {equation 2}

Substituting the value of y from the equation 1 to equation 2,

7x + 11 = -3x + 1

10x = -10

x = -1

And y = 4

Therefore, the solution is (-1, 4).

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Final answer:

The correct statement is B, which describes the weight loss range for the middle 50 percent of the members, indicating an interquartile range scenario.

Explanation:

The question you've asked seems to pertain to data interpretation and understanding statistical statements regarding weight loss in a specific group of members. This seems to be a statistical analysis question which falls under the subject of Mathematics. Specifically, this question is likely related to the topics of median, quartiles, and potentially, data distribution covered in high school level mathematics.

Based on the provided statements, the correct assertion appears to be B. The middle 50 percent of the members lost from two to 8.5 lbs. This statement indicates that the middle 50 percent is referring to the interquartile range in statistical terminology, which is a measure of statistical dispersion being the difference between the 75th and 25th percentiles. Choices A and C don't provide enough information to confirm their accuracy without additional context, and choice D cannot be correct without both A and C being correct.

Given:

The base of the triangle = 6 ft

The height of the triangle = 5 ft

The other two side of the triangle = 5.5 ft and 5.5 ft

The height of the prism = 9 ft

To find the measurement of the fabric to make the tent.

We need to find the surface area of the triangular prism.

Formula

The surface area of the triangular prism is

[tex]SA = bh+(a+b+c)H[/tex]

where, b be the base of the triangle

h be the height of the triangle

a and c be other two sides of the triangle

H be the height of the prism

Now,

Putting,

b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,

[tex]SA = (5)(6)+(6+5.5+5.5)(9)[/tex] sq ft

or, [tex]SA = 30+153[/tex] sq ft

or, [tex]SA = 183[/tex] sq ft

Hence,

Based on the given dimension 183 sq ft fabric is needed to make the tent.

Answer:

yes

Step-by-step explanation:

-8x -2y < 6

Substitute the point in for x and y

-8(3) - 2(2) <6

-24 - 4 <6

-28 <6

This is true  so the point is a solution

Answer:

$1.16

Step-by-step explanation:

An algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +, +, +, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9.

In order to determine a solution for the given polynomial, we would factor it by using this quadratic form:

a² - b² = (a + b)(a - b)

4x² - 9 = 2x² - 3²

2x² - 3² = (2x + 3)(2x - 3)

Based on the calculations above, an algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +x, +x, +x, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9 as shown in the image attached below.

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Answer:

- 515

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 15 and d = - 35 - (- 15) = - 35 + 15 = - 20, thus

[tex]a_{26}[/tex] = - 15 + (25 × - 20) = - 15 - 500 = - 515

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.After substituting these values to above formula, we obtain: All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

Answer:

You could write -5.16 as -5 4/25

Answer:

-5.16 = -129 /25  OR -5 and  4 /25

Step-by-step explanation:

Step 1: Write down the decimal divided by 1, like this: decimal 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) Step 3: Simplify (or reduce) the fraction.

Answer:

5.75

Step-by-step explanation:

The ratio of a right angle to the total degrees in a circle is 90:360, which simplifies to a ratio of 1:4.

The ratio of a right angle to the total degrees in a circle can be found by comparing the degree measures of each. A right angle is 90 degrees, and a full circle is 360 degrees.

Therefore, the ratio of a right angle to the total degrees in a circle is 90:360.

When simplifying this ratio, we divide both terms by 90, the degree measure of the right angle, which gives us 1:4.

Hence, the ratio is simplified to 1:4.

Answer:

1

Step-by-step explanation:

Let the number be x

x² + 2x = 3

x² + 2x - 3 = 0

Product  = -3

Sum =2

Factors = 3 * (-1)

x² + 3x - x - 3 = 0

x*(x+3) - (x + 3) = 0

(x + 3)(x - 1) = 0

Ignore x + 3 because the number is a positive number

x - 1 = 0

x = 1

The number is 1

When you subtract 9 from the variable "b," you get the expression:

b - 9

When you subtract 9 from the variable "b," you are performing a basic arithmetic operation in algebra. This subtraction results in a new value, which is b decreased by 9 units. In mathematical terms, it can be represented as:

b - 9

This expression represents the concept of taking a quantity, "b," and reducing it by 9. The result will depend on the specific value of "b." For example, if b = 15, then b - 9 would equal 6. If b = 20, then b - 9 would equal 11. In essence, subtracting 9 from "b" simply means subtracting 9 from the value represented by "b," whatever that value may be.

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Answer:

125.6 cm²

Step-by-step explanation:

Area of circle = πr²

Area of shaded region = Area of outer circle - area of the inner circle

= 3.14*7*7 - [3.14*3*3]

= 153.86 - 28.26

= 125.6 cm²

OR

= 3.14 * 7 * 7 - [3.14*3.*3]

= 3.14* [7² - 3²]

= 3.14* (7+3)(7-3)  

= 3.14* 10 * 4

= 125.6 cm²

I don't want to write the whole thing for you since that would be plagiarism for you to take, but be sure to include these key points:

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Congruent cones must have congruent corresponding measures, including slant height.

Hope this helps!

The two cones are congruent because they have the same radius, height, and volume - all factors that determine a cone's size and shape.

Yes, the two cones are congruent. In mathematics, two shapes are considered congruent when they have the exact same size and shape. When it comes to cones, this means that they possess the same radius and height. Since the question states that both the radius and height of the two cones are the same, we can deduce that the cones are congruent. The volume of a cone is determined by its radius and height (V=1/3πr²h) and since this is also the same for the two cones, it backs up the claim of congruency.

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Answer:

yes.

Step-by-step explanation:

because -8 absolute value is 8

Answer:

yes beacuse -8 have a greater absolute value than 6

Answer:

11

Step-by-step explanation:

7x + 2 + 4x = 90

11x + 2 = 90

11x = 88

x = 11

Answer:

Answer 3

Step-by-step explanation:

smog is fog or haze combined with smoke and other air pollutants

smog is formed when sunlight hits these air pollutants

Answer:

$0.05

Step-by-step explanation:

Answer:

B=119

Step-by-step explanation:

C=180-112=68

68+51=119

A=180-119=61

180-61=119

B=119

Answer:

∠ B = 119°

Step-by-step explanation:

∠ C and 112° are adjacent angles and supplementary, thus

∠ C = 180° - 112° = 68°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ B is an exterior angle of the triangle, thus

∠ B = 51° + ∠ C = 51° + 68° = 119°

Answer:

40 chairs

there are 6 red chairs

18 yellow chairs

and 16 blue chairs

added together that is 40

Step-by-step explanation:

Answer:

Angle 1 = 115

Angle 2 = 15

Angle 3 = 50

Answer:

Step-by-step explanation:

hello :  

geometric sequence whel the common ratio is : 32/80=80/200 = 0.4

200 ,80,32,12.8 , 5.12 , 2.048 , 0.8192

the 7th term is : 0.8192

Answer:

9m/12m = 3/4

Step-by-step explanation:

The fraction obtained after the simplification will be 3/4.

Simplifying is making something easier to do or comprehend, as well as making something less difficult.

[tex]=\rm \frac{9m}{12m} \\\\ = \frac{3}{4}[/tex]

The fraction obtained after the simplification will be 3/4.

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Answer:

[tex]34.5^2[/tex]

Step-by-step explanation:

First figure out the rectangular part 3 x 8 = 24

Next find out the triangular part. Since we know that one half of the triangular part is 3 by 4, and a triangle is half a rectangle, we can figure out that 3 x 4 = 12 and 12/2 = 6, and do the same for the 3 x 3 triangle 3 x 3 =9 and 9/2 = 4.5

Now just add it all together: 24 + 6 + 4.5 = 34.5

Answer:

Step-by-step explanation:

Semicircle:

diameter  = length of the rectangle = 25 cm

Half circumference = πd/2

= 3.14 * 25/2 = 39.25 cm

Perimeter of the figure = 39.25 + 20 + 25 + 20

= 104.25 cm

Answer:

104.25 cm

Step-by-step explanation:

Perimeter = three sides + arc

Arc length: ½ × pi × diameter

½ × 3.14 × 25

39.25

Perimeter

39.25 + 20 + 25 + 20

104.25

Answer:

D

Step-by-step explanation:

like it said, he used 5 instead of the actual height which is 4

Answer:

D

Step-by-step explanation:

The area of a parallelogram is denoted by: [tex]A=bh[/tex] , where b is the base and h is the height that is perpendicular to the base. Depending on what kind of parallelogram it is (square, rectangle, rhombus, regular parallelogram), that height could be the side length, but usually it is not; it is only the side length in special cases, like a square.

Here, we are given that the base is 11 and that the height is 4. Since the problem gives us two different values for the height versus the side length, we know that for this parallelogram, the height is not the same as the side length. Thus, we must use 4 for the height and 11 for the base in the area formula.

Therefore, the only answer that correctly points out this mistake is D.

Hope this helps!