Which expression is equivalent to 2(5m)+ m

Answer:

Ron walked a total of 8 1/12 km

Step-by-step explanation:

Answer:

[tex]8\frac{1}{12} \; km[/tex]

Step-by-step explanation:

Distance walked by Ron on Monday = [tex]3\frac{3}{4} \; km[/tex]

Distance walked by Ron on Wednesday = [tex]4\frac{1}{3} \; km[/tex]

Now we will convert the given mixed fractions into improper fractions.

As we know that, a mixed fraction is composed of a whole number and a proper fraction.

Now,.

[tex]3\frac{3}{4} =\frac{3\times4+3}{4}=\frac{15}{4}[/tex]

[tex]4\frac{1}{3} =\frac{4\times3+1}{3} =\frac{13}{3}[/tex]

So, distance walked by Ron on Monday = [tex]\frac{15}{4}\; km[/tex]

Distance walked by Ron on Wednesday = [tex]\frac{13}{3} \; km[/tex]

Now, to find the total distance walked by Ron, we will add the distances walked by him on Monday and Wednesday.

So,

[tex]3\frac{3}{4} +4\frac{1}{3} =\frac{15}{4}+ \frac{13}{3}[/tex]

Now, we will find the LCM of the denominators of the given fractions.

The prime factorisation of 4 and 3 is,

4 = 2 × 2

3 = 3

So, LCM (3, 4) = 2 × 2 × 3 = 12

Now, we will convert each of the given fractions into their equivalent fractions with denominator 12.

[tex]\frac{15}{4}=\frac{15\times3}{4\times3}=\frac{45}{12}[/tex]

[tex]\frac{13}{3}=\frac{13\times4}{3\times4}=\frac{52}{12}[/tex]

So,

[tex]\frac{15}{4}+\frac{13}{3}=\frac{45}{12} +\frac{52}{12}=\frac{45+52}{12}=\frac{97}{12}[/tex]

Now, we will convert [tex]\frac{97}{12}[/tex] into improper fraction.

Now, 97 = 96 + 1 = 12 × 8 + 1

So, when '97' is divided by '12', then we get '8' as the quotient and '1' as the remainder.

So,

[tex]\frac{97}{12} = 8\frac{1}{12}[/tex]

Hence, Ron walked a total distance of [tex]8\frac{1}{12}[/tex] km in both the days.

Answer:

Step-by-step explanation:

I think it means every data value should be equal to the "mean" to make the standard variation of this set to be zero. Or all data value of the set are equal.

Answer:

The answer is totally Rhombus

Answer: A rhombus and a kite

Step-by-step explanation: A rhombus has 4 parallel sides, and have 2 acute  angles and two  obtuse angles and no right angles. Also a kite is the same way too!

Answer:

The reflection will be on the point (3, 5).

Step-by-step explanation:

For a given point (x, y) reflection along the line x = k, the co-ordinates will be:

[tex]$ R_{x = k} (x, y) = (2k - x, y) $[/tex].

Here, we have (x, y) = (-1, 5)

Reflection across the line x = 1, we have:

[tex]$ R_{x = 1} (-1, 5) = (2(1) - (-1), 5) $[/tex]

                                  = (3, 5)

Hence, the reflection of the point (-1, 5) would be the point (3, 5).

Answer:

y= -0.6x + 123/5

Step-by-step explanation:

Start with the slope.
Given the slope is -0.6, the equation must be in the form of y=-0.6x+b, where b is the y-intercept.
Now, substitute your values of a and b inside the equation. 24=-0.6+b. given this, b=24.6, which is 123/5.

Answer:

The solution of the system is x=-1, y=-2

Step-by-step explanation:

we have

[tex]y=-2[/tex] ----> equation A

[tex]y=3x+1[/tex] ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both lines

using a graphing tool

The intersection point is (-1,-2)

see the attached figure

therefore

The solution of the system is x=-1, y=-2

Answer:

73 minutes

Step-by-step explanation:

Find a pattern in the sequence.

The sequence is 18, 29, 40, 51.

29 - 18 = 11

40 - 29 = 11

51 - 40 = 11

The pattern is add 11 each day.

If 51 is Thursday, 51 + 11 is Friday.

51 + 11 + 11 is Saturday.

51 + 11 + 11 = 73

Therefore Trent will lift weights for 73 minutes.

Answer:

X^2+6X-7=0

Step-by-step explanation:

To identify the quadratic equation use the following method

(X-a)(X-b)=0

Where

a=-7

b=1

(X+7)(X-1)=0

X^2+7X-X-7=0

X^2+6X-7=0

Answer:

Its 2/9, sorry I can't show the explanation I have to do my work.

Step-by-step explanation:

2/9 is a fraction equivalent to 4/18.

A fraction is a portion of a whole. In mathematics, the number is define  as a quotient, in which the numerator is divided by the denominator.

In a simple fraction, two are integers. A complex fraction has a fraction in the numerator or denominator.

In a proper fraction, the numerator is less than the denominator.

To determine equivalent fraction to 4/18

Divide by 2, then we get,

4/18 = 2/9.

Therefore, a 2/9 fraction is equivalent to 4/18.

Learn more about fraction here:

https://brainly.com/question/12481822

#SPJ3

The valid conclusion based on the provided data is that 15% of students in the sample are below grade level in math, but this does not necessarily indicate the same for all students in grade 6 at HACS.

The question pertains to drawing a valid conclusion from given statistical data about the math proficiency level of students in a specific school.

When it states that 15% of students are below grade level in math, the conclusion can only pertain to the group specified in the data set.

Therefore, the most valid conclusion from the given choices is that 15% of students in the sample are below grade level in math, and we cannot infer the same for the entire grade 6 at High Achievers Charter School (HACS) without further context.

In light of the provided information, one cannot come to any conclusions regarding the math proficiency of students in other grades, nor can one generalize to all students in grade 6 at HACS from a mere sample unless the sample is clearly stated to be the entirety of the grade.

The correct conclusion is B. 15% of all students in grade 6 at HACS are below grade level in math.

To understand why this conclusion is valid, let's analyze the given information and the options provided:

- The school board determined that 15% of the students who took the test were below grade level in math. Since the test was administered to all grade 6 students at HACS, this percentage applies to the entire population of grade 6 students at the school, not just a sample.

Now, let's evaluate the conclusions:

A) 15% of students in the sample are below grade level in math, but we cannot conclude anything about the students in grade 6 at HACS.

- This conclusion is incorrect because the sample includes all grade 6 students at HACS. Therefore, we can generalize the results to the entire population of grade 6 students at the school.

B) 15% of all students in grade 6 at HACS are below grade level in math.

- This conclusion is correct because the test was given to all students in grade 6 at HACS, making the sample representative of the entire population of grade 6 students. Thus, the 15% figure accurately reflects the proportion of grade 6 students at HACS who are below grade level in math.

C) 15% of all students at HACS are below grade level in math.

- This conclusion is incorrect because the test was only administered to grade 6 students. We do not have data on students in other grades at HACS, so we cannot extend the 15% figure to the entire student body of the school.

Answer:

4 workers

Step-by-step explanation:

A group of 9 workers was assigned to paint the walls in a house, which could be completed in 48 hours. Then 1 worker will complete the whole job in [tex]48\times 9=432[/tex] hours.

If 1 worker completes the whole work in 432 hours, then he completes [tex]\dfrac{1}{432}[/tex] of the work per hour.

9 workers complete [tex]9\times\dfrac{1}{432}=\dfrac{1}{48}[/tex] of work per hour and complete [tex]\dfrac{1}{48}\times 8=\dfrac{1}{6}[/tex] of work in 8 hours.

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex] of work left.

This could be completed by n workers in 72 hours, so

[tex]\dfrac{n}{432} \times 72=\dfrac{5}{6}\\ \\\dfrac{n}{6}=\dfrac{5}{6}\\ \\n=5[/tex]

9 - 5 = 4 workers left the team.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the equation of the line in point slope form

[tex]y-5=\frac{1}{5}(x-5)[/tex]

where

the point is (5,5)

the slope is m=1/5

Remember that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

To graph the line

1. Plot the point (5,5).

2. From that point, count right 5 units and up 1 unit and plot a second point.

3. Draw a line through the two points

so

The new point is (5+5,5+1) ----> (10,6)

Plot the points (5,5) and (10,6) and draw a line through the two points

The graph in the attached figure

Answer:

The answer is 28 meters.

Step-by-Step Explanation:

Because the shape is a square, something times itself equals the area.

7 times 7 equals 49. Using this multiplication fact, and also using the fact that the shape is a square, 7+7+7+7=28.

And there you have it, a square with an area of 49 square meters has a perimeter of 28 meters.

The perimeter of the square with an area of 49 sq meters is 28 meters.

A square is a 2D figure of which all the sides are of equal length.

We know that area of a square is side multiplied by side.

Given the area of a square is 49 sq meters, So two same numbers that are multiplied by 49 are 7 and 7.

∴ The length of each side of the square is 7 meters.

We also know that the perimeter of a square is 4 times the length of the side.

∴ The perimeter of the given square is (4×7) = 28 meters.

learn more about square here :

https://brainly.com/question/1603804

#SPJ2

Answer:

The probability that the marble you select is black is 0.5167

Step-by-step explanation:

Let,

[tex]E_1[/tex] the probability of selecting one marble from box A

[tex]E_2[/tex] the probability of selecting one marble from box B

[tex]BB_1[/tex] be the probability of selecting black marble from box A

[tex]BB_2[/tex] be the probability of selecting black marble from box B

Now

[tex]P(E_1) = \frac{1}{2}[/tex]

[tex]P(E_2) = \frac{1}{2}[/tex]

[tex]P(BB_1) = \frac{2}{6}[/tex]

[tex]P(BB_2) = \frac{7}{10}[/tex]

P(Selecting a Black Marble )  = [tex](P(E_1) \times P(BB_1))+(P(E_2) \times P(BB_2)) [/tex]

=>[tex](\frac{1}{2} \times \frac{2}{6})+(\frac{1}{2} \times \frac{7}{10}) [/tex]

=>[tex](\frac{2}{12})+(\frac{7}{20}) [/tex]

=>[tex](\frac{1}{6})+(\frac{7}{20}) [/tex]

=>[tex]\frac{20 + 42}{120} [/tex]

=>[tex]\frac{62}{120} [/tex]

=>[tex]\frac{31}{60} [/tex]

=>0.5167

{x | x is a real number} is the domain of the function.

The collection of all conceivable input values (x) for which a function can be defined is known as the domain.

There are no limitations on the input values for f(x) = 3x - 2. Since there are no denominators, square roots, or other operations that could make the function undefined, it is defined for all real numbers.

The domain of f(x) = 3x - 2 is thus:

x is a real number | x.

This indicates that the function f(x) can take any real number as an argument.

Learn more on domain here: https://brainly.com/question/10197594

#SPJ2

Answer:

10:31

Step-by-step explanation:

Given: A baseball player recorded [tex]60[/tex] hits in [tex]186[/tex] at-bats.

To Find: ratio of hits to at-bats.

Solution:

Total number of hits recorded by baseball player [tex]=60[/tex]

Total number of at-bats     [tex]=186[/tex]

Now,

ratio of hits to at-bats         [tex]=\frac{\text{total number of hits recorded}}{\text{total number of at-bats}}[/tex]

putting values,

ratio of hits to at-bats          [tex]=\frac{60}{186}[/tex]

                                             [tex]=\frac{10}{31}[/tex]

                                             [tex]=10:31[/tex]

Hence the ratio of hits to at-bats is [tex]10:31[/tex]

Answer:

Step-by-step explanation:

3/12=1/4

3:1/4

Answer:

6 cups of whole milk is used for every teaspoon of salt.

Step-by-step explanation:

Given:

A recipe for ricotta cheese calls for 3/4 cup of whole milk for every 1/8 teaspoon of salt.

Now, to find the cup of whole milk should be used for every teaspoon of salt.

So, to get the cup of whole milk used we use unitary method:

For every 1/8 teaspoon of salt cup of whole milk used = 3/4 cup.

Thus for every teaspoon of salt cup of whole milk used = 3/4 ÷ 1/8.

[tex]=\frac{3}{4}\times \frac{8}{1}[/tex]  (changing the division to multiplication the fraction reciprocals.)

[tex]=\frac{24}{4}[/tex]

[tex]=6\ cups.[/tex]

Therefore, 6 cups of whole milk is used for every teaspoon of salt.

Answer:

25√2

For the opposite side, the hypotenuse, a rhombus is always divided by a angle bisector. Therefore you use the 45-45-90 theorem

Answer:

Step-by-step explanation:

y = 3x - 5.....input values are x and output values are y

so if ur input (x) is 2.....sub 2 in for x and find ur output (y)

y = 3x - 5

y = 3(2) - 5

y = 6 - 5

y = 1 <=== ur output value

The output for the equation y = 3x – 5, is 1.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

In the linear equation y = 3x - 5 input values are x and output values are y. Put x = 2 as input for output y.

y = 3x - 5

y = 3(2) - 5

y = 6 - 5

y = 1

The output value y is 1.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ5

Answer:

equal to.

Step-by-step explanation:

1 gallon would equal 4 quarts, So if 6 gallons were presnt multiply 6 and 4 and you get 24 quarts

The quantity in the inequality is the same for both sides, so you would use the equals sign. According to unit conversion, 6 gallons is equal to 24 quarts.

The inequality you are trying to solve involves comparing the two quantities in gallons and quarts. One gallon is equivalent to 4 quarts. Therefore, we can multiply 6 gallons by 4 to convert it to quarts:

6 gal * 4 qt/gal = 24 qt

Therefore, the inequality would be: 6 gal = 24 qt

https://brainly.com/question/32030244

#SPJ2

Answer: x = -3

Step-by-step explanation:

Let the number be x , that is the square of x is [tex]x^{2}[/tex].

From the first statement :

[tex]x^{2}[/tex] - 18 = 3x

writing the equation in a standard quadratic format , we have

[tex]x^{2}[/tex] - 3x - 18 = 0

Factorizing , we have

(x - 6 )(x + 3 ) = 0

x - 6 = 0 or x + 3 = 0

Therefore :

x = 6 or x = -3

Therefore , the negative solution implies x = -3

Answer:-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of pieces= total length/ length of one piece

= 12/2 = 6 pieces

Answer:

he will earn 67.71 dollars, or more precisely 67.716 dollars in 6.6 hours

Step-by-step explanation:

Answer:

$67.72 or 67.71 (depends if you are taking the first 2 decimal points or if you are rounding

Step-by-step explanation:

10.26*6.6

This is done because we have how much he earns per hour and the number of hour he works so we have to multiple them together

The end result would be: 67.716 dollars. The answer varies like I said above

Answer:

rate of interest=R=5.5%

Step-by-step explanation:

given principle=P=$1200

simple interest=S.I=$396

time=T=6 years

simple interest=[tex]\frac{P\times R\times T}{100}[/tex]

$396=[tex]\frac{1200\times R\times 6}{100}[/tex]

$396=[tex]72\times R[/tex]

R=[tex]396\div 72[/tex]

R=5.5%

rate of interest=R=5.5% answer

Answer:

Answer is D

Step-by-step explanation:

engenuity 2022

Answer:

29

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation:

Do the long division.

a) The equation for the amount of money (m) Scott has after a number of hours babysitting (h) is m = 15 + 6 h

b) Scott will babysitting for 6 hours to have $51.00

Step-by-step explanation:

The given is:

Write an equation for the amount of money (m) Scott has after a number of hours babysitting (h) and find the number of hours of babysitting if Scott have $51.00

a)

∵ Scott has $15.00

∵ He earns $6.00 an hour babysitting

∵ h is the number of hours of babysitting

∵ m is the amount of money that Scott has after h hours

- Equate m by the sum of 15.00 and the product of 6.00 and h

∴ m = 15 + 6 (h)

∴ The equation is m = 15 + 6 h

The equation for the amount of money (m) Scott has after a number of hours babysitting (h) is m = 15 + 6 h

b)

∵ Scott has $51.00

∴ m = 51

- Substitute the value of m in the equation to find h

∵ 51 = 15 + 6 h

- Subtract 15.00 from both sides

∴ 36 = 6 h

- Divide both sides by 6

∴ 6 = h

∴ h = 6 hours

Scott will babysitting for 6 hours to have $51.00

Learn more:

You can learn more about the linear equation in brainly.com/question/1284310

#LearnwithBrainly

Answer:

$1.40

Step-by-step explanation:

Data provided in the question

Skateboard price = $40

Discounted percentage = 30%

Sales tax rate = 5%

By considering the above information, the amount of tax paid is

For computing the amount of tax paid, first we have to determine the price after considering the given discount percentage which is shown below:

= Skateboard price - Skateboard price × discounted percentage

= $40 - $40 × 30%

= $40 - $12

= $28

Now the amount of tax paid is

= $28 × 5%

= $1.40

Incomplete Question, the complete question is

Solve the triangle.

B = 73°, b = 15, c = 10  

A. C = 39.6°, A = 67.4°, a ≈ 14.5

B. Cannot be solved

C. C = 44.8°, A = 62.4°, a ≈ 14.5

D. C = 39.6°, A = 67.4°, a ≈ 20.3

Answer:

The Answer is the option A

A. C = 39.6°, A = 67.4°, a ≈ 14.5

Step-by-step explanation:

Given:

In Δ ABC,

∠B = 73°

b = 15

c = 10

To Find:

∠A = ?

∠B = ?

a = ?

Solution:

IN Δ ABC,  Sine Rule says that

[tex]\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}[/tex]

Substituting the given values we get

[tex]\dfrac{15}{\sin 73}= \dfrac{10}{\sin C}\\\\\sin C=0.6375\\\therefore C=39.6\°[/tex]

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

[tex]\angle A+\angle B+\angle C=180\\\\73+39.6+\angle A=180\\\therefore m\angle A =180-112.6=67.4\°[/tex]

∴ [tex]\dfrac{a}{\sin A}= \dfrac{b}{\sin B}[/tex]

Substituting the given values we get

∴ [tex]\dfrac{a}{\sin 67.4}= \dfrac{15}{\sin 73}\\\\\therefore a=14.48\approx14.5[/tex]

Therefore,

A.  ∠C = 39.6°, ∠A = 67.4°, a ≈ 14.5