10. Which statement is NOT true about rational numbers?
F The sum of two rational numbers is also a rational number
G 0is not a rational number.
H The product of two rational numbers is also a rational number.
J The opposite of a rational number is also a rational number.

If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.

In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.

Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:

The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.

There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.

There are 3 dots above the 9.5 minutes per problem tick mark.

Now, let's calculate the total time Mira spent:

(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.

Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.

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Answer: A = 1/2 b x h

Step-by-step explanation:

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Answer:

u prolly will know if u payed attention in class

Step-by-step explanation:

Answer:

It would be A hope this helpdd

Answer:

A. Write each students name on a slip of paper and put the slips in a hat. Randomly draw a slip of paper. The Student whose name is on the paper wins.

C. Roll a number cube. If it lands on 1 or 2, Alina wins. If it lands on 3 or 5, Robert wins. If it lands on any other number, Makayla wins.

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Graph is attach below for this question and the equation of this graph is

\(A(x) = 400(1.25)^{x} + 0.\\\)

In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" indicates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).

Given that the boat's value increasing at a rate of 25% per year.

So after each year the value becomes = 1 + 25% = 1 + 0.25 = 1.25 of the previous year.

So the equation becomes: \(A(x) = 400(1.25)^{x} + 0.\\\)

Since, b = 1.25 > 1, so A(x) is a increasing function. And for every value of x, A(x) < 0.

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The area of the square and the circle is computed below based on the information.

Radius = 3

Area of circle = πr² = π × 3² = 9π

Area of square = 4r² = 4 × 3² = 36

Length of square = ✓36 = 6

Ratio = 1/4π

Radius = 4

Area of circle = πr² = π × 4² = 16π

Area of square = 4r² = 4 × 4² = 64

Length of square = ✓64 = 8

Ratio = 1/4π

Radius = 2r

Area of circle = πr² = π × 2r² = 2πr²

Area of square = 4r² = 4 × 2r² = 8r²

Length of square = ✓8r² = 2✓2r

Ratio = 1/4π

The relationship between the area of the circle and the square is that the area of the square is 4 times that of the circle.

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Answer:

8.529325

Step-by-step explanation:

Answer:

0.539325

Step-by-step explanation:

I used a calculator.

Answer:

Most research has found time-of-day does play a significant part in student achievement. When students were taught at times matching their learning style preferences, scores were significantly higher on achievement tests.

It takes reflection and collaboration with others, but by looking deeper into the time we spend on different tasks, we can improve outcomes for our students.

Unfinished learning is an educational term referring to concepts or skills in any subject that students were in the process of learning but unable to master, or never had the opportunity to learn.

Effective classroom movement simply acknowledges that there is a direct connection between physical movement and things like attention, memory, and learning. One of the most effective (and free) ways to improve attitudes, increase retention, and improve student focus is to lead students in simple movement activities.

Countless studies have shown that early school start times are associated with students getting less sleep, which negatively affects student academic performance. Students with less sleep have difficulty paying attention in class and are likely to have lower grades. They may also experience irritability and fatigue.

The American Academy of Pediatrics has recommended that middle and high schools start at 8:30 a.m. or later to give students the opportunity to get the amount of sleep they need, but most American adolescents start school too early.

But it's more than just physical coordination. This timing system coordinates social and learning cues as well. This sense of time is at work while your child is trying to listen to directions, when they process and respond to those directions, while they converse with friends, read, solve math problems and much more.

Step-by-step explanation:

hope this helped!

Answer:

$8.88

Step-by-step explanation:

-17.62 + 26.50 =

= 26.5 - 17.62

= 8.88

The values of x in the congruent triangles are as follows:

a. x = 16

b. x = 10

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, triangles that have exactly the same size and shape are called congruent triangles.

The triangles are congruent. Therefore, let's find the x in the triangles.

a.

180 - 54 - 67 = 4x - 5

59 = 4x - 5

59 + 5 = 4x

64 = 4x

divide both sides by 4

x = 64 / 4

x = 16

b.

180 - 58 - 74 = 5x - 2

48 = 5x - 2

48 + 2 = 5x

x = 50 / 5

x = 10

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Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

For each feeding, the proportion of food eaten by Roxie is:

• Wet dog food = 2/3 of a can

• Dry dog food =1/8 of a bag

• Special meat = 3/5 of a patty

The trainer goes to the store and buys 24 cans of wet dog food, 4 bags of dry dog food, and 3 packages of meat.

Since there are 6 patties in 1 package, the number of patties bought by the trainer = 3 X 6 = 18 Patties

Since the dog is fed twice a day, the dog eats the following per day:

Therefore, the number of days that each food type bought will last will be:

(a)The dog will be fed for 15 days before the trainer needs to buy more food.

(b)The trainer will run out of the special meat first.

Since the dogs will be fed for 15 days, the amount of the other two types of dog food will be left after the first type of dog food runs out will be:

(c)Therefore:

• 4 cans of the wet dog food will remain; and

• 0.25 of a bag of the dry dog food will remain.

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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The solutions are: x = ln(2) for 2eˣ = 4,  x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.

To solve these equations using natural logarithm, we can use the following rules:

Using these rules, we can solve the given equations as follows:

2eˣ = 4

Divide both sides by 2 to get

eˣ = 2.

Take the natural logarithm of both sides to get

ln(eˣ) = ln(2).

Using rule 1 above, we can simplify ln(eˣ) to x, and we get

x = ln(2).

e⁴ˣ = 25

4x = ln(25).

Divide both sides by 4 to get

x = ln(25)/4.

eˣ = 72

Take the natural logarithm of both sides to get

x = ln(72).

e³ˣ = 124

Take the natural logarithm of both sides to get

3x = ln(124).

Divide both sides by 3 to get

x = ln(124)/3.

For the second set of equations, we use the same rule as above

So, we have

ln(x - 3) = 2

x - 3 = e²

x = e² + 3.

x ≈ 10.389.

Therefore, the solution is x ≈ 10.389.

ln(2t) = 4

2t = e⁴

t = 0.5 * e⁴

t ≈ 27.299.

Therefore, the solution is t ≈ 27.299.

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Answer:

B. 56

Step-by-step explanation:

28 pounds converted to ounces is 448 ounces

so 448/8=56

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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Answer: $5.91

Step-by-step explanation:

Total borrowed = $29.96

Amount earned on Saturday

6 hours x $2.60 = $15.60

Amount earned on Monday

1 3/4 is the same as 1.75

1.75 hours X $2.60 = $4.55

Amount earned on Tuesday

1 1/2 is the same as 1.50

1.50 hours x $2.60 = $3.90

Total amount earned from Saturday, Monday, and Tuesday

$15.60 + $4.55 + $3.90 = $24.05

Amount Sarah owes her uncle

$29.96 borrowed

$24.05 earned

$29.96 - $24.05 = $5.91

Sarah owes $5.91.

\(4:6\) (To Simplified Fraction)

Write 4:6 as a fraction:

\(\frac{4}{6}\)

Simplify the fraction:

\(\frac{4\div2}{6\div2} =\frac{2}{3}\)

\(\framebox{$\dfrac{2}{3}$}\)

Hope this helps!

Answer:

35

Step-by-step explanation:

Answer:

sa =45

vol = 6000.

I hope it helps. and if you can, give me the brainlist

Answer:

363/501

Step-by-step explanation:

363+138=501.........

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

the area is simply the product of its width and length, so hmmm before doing so, let's change all the mixed fractions to improper fractions and then multiply.

\(\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} ~\hfill \stackrel{mixed}{4\frac{2}{7}} \implies \cfrac{4\cdot 7+2}{7} \implies \stackrel{improper}{\cfrac{30}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{5}\cdot \cfrac{30}{7}\implies \cfrac{21}{7}\cdot \cfrac{30}{5}\implies \cfrac{3}{1}\cdot \cfrac{6}{1}\implies \text{\LARGE 18}~in^2\)

The area of the rectangle is 18 \(inch^{2}\) and the perimeter is  \(16\frac{34}{35}\) inches.

We know that, Area of a rectangle = l * b

        and Perimeter of a rectangle = 2(l + b)

 Where, l = length of the rectangle

             b = breadth of the rectangle

According to the question, l = \(4\frac{1}{5}\) inch = \(\frac{21}{5}\) inch

                                             b = \(4\frac{2}{7}\) inch = \(\frac{30}{7}\) inch    

Area of the given rectangle = l* b

                                              =   \(\frac{21}{5}\) * \(\frac{30}{7}\)

                                              = 18 \(inch^{2}\)

The perimeter of the given rectangle = 2(l + b)

                                                              = 2( \(\frac{21}{5}\) + \(\frac{30}{7}\))

                                                              = 2 (\(\frac{297}{35}\))

                                                              = \(\frac{594}{35}\)

                                                              = \(16\frac{34}{35}\) inch

Hence, the area of the rectangle = 18 \(inch^{2}\)

and the perimeter =  \(16\frac{34}{35}\) inch

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The percent of the front page taken up by the prom story is 20%

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

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

When an obect has rotational symmetry, that means the object will look the same after a certain amount of rotating. When an object has reflection symmetry, it means the object mirrors itself at the midpoint.

Step-by-step explanation: