Which expression is equivalent to 24 + 48?
a.6 (4+48)
b.6 (4+8)
c.12 (2+4)
d.24 (1+2)
e.6x4+8

12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.

Para que un número sea divisible por 6 debe cumplir dos condiciones.

En este caso tenemos 12,480, que sabemos que es par.

La suma de sus digitos da:

1 + 2 + 4 + 8 + 0 = 15

15 es multiplo de 3.

Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.

Sí quieres aprender más sobre divisiones.

https://brainly.com/question/9462805

#SPJ1

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

Learn more about Fractions at

https://brainly.com/question/14503941

#SPJ1

Answer:

1.$40

2.10

3.300

Step-by-step explanation:

1. 25-15=10

So that means she earns $5 per hour

5 pm - 2pm =3

5x3=15

25+15=40

2. 7-5=2

So that means he fixed 1 computer a hour

6pm - 3pm= 3

3x1=3

7+3=10

3.

9pm - 6pm =3

150/3=50

So that mean each hour the bus travels 50 miles

12pm - 9pm = 3

50x3=150

150+150=300

Answer:

(9,9)

Step-by-step explanation:

Assuming the point is exactly halfway between A and B, to find it we just need to find the centre point between (4,8) and (14,10).

To find the midpoint, we just need to find the middle value, by dividing the difference between the x values by 2, and repeating the process with the y values.

This is because the point is in the middle, so it's y value will be in the middle of the given AB y values, and its x value will also be directly in the middle of the AB x values.

The x values are 4 and 14. The midpoint is

14-4=10

10/2=5 (the midpoint is 5 away from each reference point)

4+5=9

The midpoint is 9 for the x values. This means the x-value for the point is 9.

Repeat for y-values:

10-8=2

2/2=1

8+1=9

The midpoint is 9, therefore it has the y coordinate of 9.

Therefore the coordinates for the point are (9,9).

Hope this helped!

The percentage of fraction 3/7 is 42.8571%.

Percentage, a relative value indicating hundredth parts of any quantity. One percent  is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

All of something is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

Given fraction:

3/7

To convert the fraction into percentage we have multiply 100

3/7*100

=300/7

= 42.8571%

Hence, the percentage of fraction 3/7 is 42.8571%.

Learn more about percentage here:

https://brainly.com/question/13244100

#SPJ1

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

Learn more about system of linear equations at brainly.com/question/13729904

#SPJ1

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Maxwell is faster than Hayley by 0.5 miles per hour

The first step is to calculate the average speed of Hayley

Average= distance/time

3/4÷1/6

= 3/4 × 6/1

= 9/2

= 4.5

The next step is to calculate the average speed of Maxwell

= 2/3 ÷ 2/15

= 2/3 × 15/2

= 5

The difference between the average speed of both individuals

= 5-4.5

= 0.5

Hence Maxwell is faster than Hayley by 0.5 miles per hour

Read more on miles here

https://brainly.com/question/18820635

#SPJ1

The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

Given that;

The diameter of bicycle wheel= 28inches

Rpm of wheel = 130rpm

Now,

Angular speed ω = 2pi*N/60 radian per second.

=2*pi*130/60

=260pi/60

=4.3pi radian per second

Speed of bicycle V = r*ω

V=14*4.3pi

V=60.2pi inch/sec

Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.

Learn more about speed here;

https://brainly.com/question/7359669

#SPJ1

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

Learn more about equations in: https://brainly.com/question/29538993

#SPJ1

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

Learn more about dilation here: brainly.com/question/20482938

#SPJ1

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome

Step-by-step explanation:

The rate of change of the sum of f(x) and g(x) is greater than that of either function.

From the question, we have the following parameters:

The graphs of the functions are not given;

However, if all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x)

Hence, the true statement (by observation) is (c)

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer:

0

Step-by-step explanation:

because absolute of 0 is 0

Answer:

1. 2 2. 24 3. 8 4. 240

Step-by-step explanation:

1. 1 pen costs 2 dollars

2. 12*2=24

3. 40/5=8

4. 8*30=240

The attached graph represents the graph of the equation y1 = 17,105 + 1.31x

The equation is given as:

y1 = 17,105 + 1.31x

To plot and graph the equation, we set some values for x and calculate the corresponding y values.

Let x = 0, 1, 2 and 3.

So, we have:

y1 = 17,105 + 1.31 * 0 = 17105

y1 = 17,105 + 1.31 * 1 = 17106.31

y1 = 17,105 + 1.31 * 2 = 17107.62

y1 = 17,105 + 1.31 * 3 = 17108.93

The graph can then be plotted using the above points

See attachment

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Answer:

ha ya

Step-by-step explanation:

The constant of proportionality here would be 1 that is k = 1

The ratio that establishes a proportionate link between any two given values is referred to as the constant of proportionality. The constant of proportionality may also be referred to by the labels constant ratio, constant rate, unit rate, constant of variation, or even rate of change.

The constant of proportionality here would be 1 because :

weight of apples ∝ cost of apples

removing the proportionality sign and we get a constant

weight of apples = k ( cost of apples )

here k = 1

as the units in x axis increase simultaneously the y axis units are also increasing

this indicates that there is a direct proportional relation between the cost of apples and the weight of apples.

To know more about constant of proportionality you may visit the link which is mentioned below:

https://brainly.com/question/8598338

#SPJ13

Answer:

2, -2

Step-by-step explanation:

You start at -1, 2

-1 ,2

3, -4

add the Transformations to the starting coordinates and end up getting

2,-2

Thus, for any vector x = (x1, x2, x3) in R3, we have: L(x) = Ax where A is the matrix given above.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used extensively in mathematics, science, engineering, and computer science to represent and manipulate linear equations, systems of equations, vectors, and other mathematical objects. Matrices can be added, subtracted, multiplied, inverted, and transformed in various ways to solve problems in algebra, calculus, statistics, and other fields. Matrices are also used in computer graphics, machine learning, and other areas of artificial intelligence to represent data, images, and other information. The size of a matrix is given by its number of rows and columns, and matrices can be classified as square (when they have the same number of rows and columns) or rectangular (when they have different numbers of rows and columns).

Here,

To find the matrix A that corresponds to the linear transformation L, we need to write L(e1), L(e2), and L(e3) as linear combinations of the standard basis vectors in R2.

L(e1) = (1+0, 0+0) = (1, 0)

L(e2) = (0+1, 1+0) = (1, 1)

L(e3) = (0+0, 1+0) = (0, 1)

So we can write:

L(x) = L(x1 e1 + x2 e2 + x3 e3)

= x1 L(e1) + x2 L(e2) + x3 L(e3)

Now we can assemble the coefficients of this linear combination into a matrix A:

A=  \(\left[\begin{array}{ccc}1&1&0\\0&1&1\end{array}\right]\)

To know more about matrix,

https://brainly.com/question/30389982

#SPJ1

Answer: 16 ounce sports drink

Step-by-step explanation:

Calculate cost per ounce for both sizes.

12 ounce sports drink:

$0.99 / 12 ounces = $0.0825 per ounce

16 ounce sports drink:

$1.19 / 16 ounces = $0.074375 per ounce

Therefore, the 16 ounce sports drink is a better but because it is cheaper per ounce.

for the first question, you get 576

for the second one you get 0.1875

The effect of the parameter "a" on the graph of f(x) = a√x is that it stretches or shrinks the graph vertically.

The function is given as

f(x)=a√x

The possible scenarios are

It's important to note that a changes the amplitude of the function, but it does not change the shape of the function.

It should be also noticed that if a=0, the function would be 0 for all x.

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer:

It is D

The one you have chosen is the correct answer.

Step-by-step explanation:

After 8 years the worth would become $1,095.91

If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

We are given that $550 invested at 9% interest compounded annually be worth after 8 years.

\(a = p(1 + \dfrac{r}{n})^{nt}\)

a = 550 (1 + 0.09)^8t

a = 550 (1.09)^8t

a =1,095.91

Hence, the worth would be; $1,095.91

Learn more about compound interest here:

https://brainly.com/question/1329401

#SPJ2

hi

a) m = 2

b)  m = 4

c)  n = 5

d)  n= 3

e)  m = 6

f) n = 4