1.Which is greater 350% or 0.35
Or is it equal.

2.Use a number line to order the numbers from least to greatest. 3/10 fraction, 0.34, 3/8 fraction, 27%.

3.Use a number line to order the numbers from least to greatest. 74%, 7/10 fraction, 0.68

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The total cost of 24 copper hearts is approximately $13.08.

To find the total cost of 24 copper hearts, we need to calculate the total amount of copper used and then multiply it by the cost per pound of copper.

Given:

- Each heart uses 0.75 in³ of copper.

- There is 0.323 pound of copper per cubic inch.

- The cost of copper is $2.25 per pound.

First, we calculate the total amount of copper used by multiplying the copper volume per heart by the number of hearts:

Total copper used = 0.75 in³/heart * 24 hearts = 18 in³.

Next, we convert the copper volume to pounds by multiplying it by the copper density:

Total copper in pounds = 18 in³ * 0.323 lb/in³ = 5.814 lb.

Finally, we find the total cost by multiplying the total copper weight by the cost per pound:

Total cost = 5.814 lb * $2.25/lb = $13.0825.

Therefore, the total cost of 24 copper hearts is approximately $13.08.

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Answer:

99.85

Step-by-step explanation:

$99.85\text{ %}$

Notice that 52 inches is three standard deviations less than the mean. Based on the Empirical Rule, 99.7% of the yearly snowfalls are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the yearly snowfalls are less than three standard deviations below the mean. Alternatively, 99.85% of the yearly snowfalls are greater than three standard deviations below the mean.

Answer:

All you need to do is split the shape so that you can find the individual area

Step-by-step explanation:

So we first split the shape so we get a triangle...

Now we split the shape again to get another square...

Then we find the area of the other square...

Our last step is to add all the areas together

Hence the area is 22

Answer:

C.

Step-by-step explanation:

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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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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Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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The amount of money Nancy has is $12.5.

Given that, Steve has $5. Nancy has 250% as much money as Steve.

We need to find out how much money Nancy has.

A specific portion or amount in every hundred is what is meant by the term percentage. It is a fraction with the denominator 100, and the symbol for it is "%."

Let the amount of money Nancy has to be x.

Now, x=250% of 5

=250/100 × 5

=2.5 × 5

=12.5

Therefore, the amount of money Nancy has is $12.5.

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Using opposite by the same vertex and supplementary angles, it is found that the measure of angle 4 is of 66º.

In this problem, angles 5 and 7 are opposite by the same vertex, hence:

m<7 = m<5 = 114º.

Angles 4 and 5 are supplementary, hence:

m<4 + m<5 = 180º.

m<4 = 66º.

The measure of angle 4 is of 66º.

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Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

  (E) 22,400

Step-by-step explanation:

Let b represent the amount invested in bonds. Then b/4 is the amount invested in stocks, and the total amount invested is ...

  b/4 +b = 28000

  5/4b = 28000 . . . . . collect terms

  b = (4/5)(28000) = 22,400 . . . . . multiply by 4/5

22,400 is invested in bonds.

The system of equations is:

4x + 3y = 104

x = 4 + 2y

The correct options are C and D.

Let's describe the variables for our system:

x = cost of a can of paint.

y = cost of a brush.

We know that the total cost is $104, then one of the equations is:

4x + 3y = 104

And we know that the cost of a can is $4 more than the double of a brush, then the other equation is:

x = 4 + 2y

Then the correct options are C and D.

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1296

1) Let's find out the LCM (48,162, 3)

Let's factorize it by prime numbers, dividing it by a prime number:

2) When doing it we need to divide by the prime numbers, successively. The ones not divisible by 2 (like 81) we keep it.

So now, we can write that counting how many times each prime number on the right gets repeated:

3) Hence, the LCM of 48, 162, and 3 is 1296

A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

Step-by-step explanation:

x and y trade places.

y = 2x² - 4

y + 4 = 2x²

x² = (y + 4)/2

x = ±sqrt((y + 4)/2)

and for the usual notation we rename x to y and vice versa

y = ±sqrt((x + 4)/2)

and this is not a function, because there are now 2 result values for every input value.

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Answer= y=-1/2x

Step-by-step explanation:

Rise over run turns the equation into splitting the x variable down the graph in integers of two.

Answer:

yeahh

Step-by-step explanation:

y=mx+b

The solution to the above algebra question is  (b) x-3, x+5.

To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.

We set up the synthetic division table as follows, using -2 as the divisor:

-2 | 1 4 -11 -30

|____-2__-4___30

| 1 2 -15 0

The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:

x^2 + 2x - 15 = (x - 3)(x + 5)

Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.

The correct answer is (b) x-3, x+5.

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Answer:

The correct answer is twenty one fifths

Answer:

120 : 5 = 24 suy ra 24 x 7,5 = 180

Step-by-step explanation:

Answer:

1020

Step-by-step explanation:

8580 - 7560

=1020

hope it helps

A possible vector function that represents the curve of intersection of the two surfaces is r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

The cylinder x^2 + y^2 = 25 represents the set of points in 3D space where the distance from the origin to the point (x, y, z) is equal to 5. The surface z = xy represents the set of points in 3D space where the height of the point (x, y, z) is equal to its x-y coordinate.

The curve of intersection of the two surfaces is given by the set of points in 3D space that are simultaneously on the cylinder and on the surface z = xy. This means that for any point on the curve of intersection, the distance from the origin to the point must be equal to 5, and the height of the point must be equal to its x-y coordinate.

We can find a vector function that represents the curve of intersection by parameterising the points on the curve in terms of a scalar parameter t. For example, a possible parameterization of the curve of intersection is:

r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

where t is a scalar parameter that ranges over all values between 0 and 2π. The values of x, y, and z are given by 5 cos(t), 5 sin(t), and 5 cos(t) sin(t), respectively, and represent a point on the curve of intersection for each value of t.

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Answer:

the answer is 24192

Answer: 24192

Step-by-step explanation:

1) (m · n)(- 3) = 9

2) (m / n)(x) = x / x, for x ≠ 0

Herein we have two operations between two functions of the form n(x) = x: (i) Multiplication, (ii) Division. In the first part we find the case of a multplication between two functions:

(m · n) (x) = m(x) · n(x)            (1)

Then,

(m · n) (- 3) = m(- 3) · n(- 3) = (- 3) · (- 3) = (- 3)² = 9

The second part present a case of a division between two functions:

(m / n) (x) = m(x) / n(x)           (2)

Then,

(m / n) (x) = m(x) / n(x) = x / x, where x = 0 leads to an indetermination.

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Answer:

Step-by-step explanation:

58.6667

Answer:

The answer is 58.6667