Rename 2 1/2 as an improper fraction

Answer:

Step-by-step explanation: scale factor is 1/10 the length of a is 1 the length of b is 8.5

The scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

From the given figure,

Scale factor = 6.2/62

= 1/10

The length of A = 1/10 ×10 cm

= 1 cm

The length of B = 1/10 ×85 cm

= 8.5 cm

Therefore, the scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

Answer:

7.19

Step-by-step explanation:

Answer:

are we looking for the intercept

Step-by-step explanation:

ex. an analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

x=00s

Step-by-step explanation:

Answer:

$1,738.91

Step-by-step explanation:

Future value = A(1+i)^n

A= $1,500

i = 3%

n - 5

Future value = $1,500*(1+0.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*1.1592740743

Future value = $1738.91111145

Future value = $1,738.91

$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.

Answer:

Step-by-step explanation:

The answer is $26

Answer:

The question is not complete, below is the completed question:

These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.

1. Triangle G and Triangle F

2. Triangle G and Triangle B

3. Triangle B and Triangle F

4. Triangle F and Triangle H

5. Triangle G and Triangle H

6. Triangle H and Triangle B

Answer:

1. Triangle G and Triangle F  = 4 times

2. Triangle G and Triangle B  = 0.2 times

3. Triangle B and Triangle F  = 16 times

4. Triangle F and Triangle H  = 0.11 times

5. Triangle G and Triangle H  = 0.44 times

6. Triangle H and Triangle B = 0.56 times

Step-by-step explanation:

using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles

1. Area of Triangle = [tex]\frac{base\ \times\ height}{2}[/tex]

[tex]F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2} = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}[/tex]

To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first

1. Triangle G and Triangle F  = 24:6 = 4

∴ The area of triangle F is 4 times larger than triangle G

2. Triangle G and Triangle B  = 3/2 : 6 = [tex]\frac{1}{4}[/tex] = 0.2

∴ The area of triangle B is 0.2 times larger than triangle G

3. Triangle B and Triangle F  = [tex]24 : \frac{3}{2} = 16[/tex]

∴ The area of triangle F is 16 times larger than triangle B

4. Triangle F and Triangle H  = [tex]\frac{8}{3} : 24 = \frac{1}{9} = 0.11[/tex]

∴ The area of triangle H is 0.11 times larger than triangle F

5. Triangle G and Triangle H = [tex]\frac{8}{3} : 6 = \frac{4}{9} = 0.44[/tex]

∴ The area of triangle H is 0.44 times larger than triangle G

6. Triangle H and Triangle B = [tex]\frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56[/tex]

∴ The area of triangle B is 0.56 times larger than triangle H

Answer:

68 % = .68

Step-by-step explanation:

Answer:

zx = 5g(2x-c)              

zx = 10gx - 5gc

zx - 10gx = - 5gc

answer is x = 5cg/10g-z

Step-by-step explanation:

im sorry if its not the right answer but i think its right

Answer:

C. rational numbers and irrational numbers

Step-by-step explanation:

Rational numbers are those numbers that can be used to express the ratio of two whole numbers. An example is the figure 2. It can be expressed as a fraction of another number like when we write 2/8. Both figures are rational. Irrational numbers cannot be used to express the ratio of two whole numbers or integers. An example is a digit like 0.666666... Rational and irrational numbers are real numbers because real numbers encompass all the types of numbers we can think of, positive, negative, decimals, whole, etc.

The density of numbers is seen in the fact that there is no vacuum created between real numbers when plotted on the number line.

Answer:

There's no evidence to show that the recent experience suggests a decline in spending.

Step-by-step explanation:

We are given;

Population mean; μ = $2.5

Population Standard deviation; σ = $0.9

Sample mean; x¯ = $2.1

Sample size; n = 18

Significance level; α = 0.01

Let's define the hypothesis;

Null hypothesis; H0: μ ≥ $2.5

Alternative hypothesis; Ha: μ < $2.5

z-score formula is;

z = (x¯ - μ)/(σ/√n)

z = (2.1 - 2.5)/(0.9/√18)

z = -0.4/0.2121

z = -1.886

Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;

P-value = 0.2965

This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.

Answer:331.5

Step-by-step explanation:

Multiplication is the process of multiplying. The amount that is made by Joe last week is $331.5.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 39 hours last week. Therefore, the amount that is made by Joe Mathis in the last week is,

Amount made by Joe = Amount paid per hour × Number of hours

                                 = $8.50 per hour × 39 hours

                                 = $331.5

Hence, the amount that is made by Joe last week is $331.5.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

x=-7

Step-by-step explanation:

[tex]2x - x = - 4 - 3[/tex]

[tex]x = - 7[/tex]

i think this is the answer

Answer:

x = -7

Step-by-step explanation:

subtract 3 from both sides and subtract x from both sides

x = -7

Answer:

put one point at (0,3)

put another point at (1,-3)

draw a line between them

Step-by-step explanation:

could u vote me brainliest plz? thx :)

The standard formula for calculating the equation of a line is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept of the line

Given the equation to graph expressed as g(x) = 3 - 6x

First, we need to get the x and y-intercept of the line expressed as:

For the x-intercept, y = 0

0 = 3 - 6x

6x = 3

x = 0.5

The x-intercept is at (0.5, 0)

For the y-intercept, x = 0

y = 3 - 6(0)

y = 3

The y-intercept is at (0, 3)

Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;

Learn more here: https://brainly.com/question/17003809

Answer:

yeah fr

Step-by-step explanation:

Answer:

A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3

HOPE IT WILL HELP U!!!!!!

Answer:

1040

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

set 2x-20 = x+15 and solve

Answer:

50

Step-by-step explanation:

EDGE2021

Answer:

8/13

Step-by-step explanation:

In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).

P(A∪B)=P(A)+P(B)-P(A∩B)

There are 26 black cards in a standard deck so,

P(A)=26/52.

There are 12 face cards in a standard deck so,

P(B)=12/52.

There are 6 cards that are black face cards.

P(A∩B)=6/52.

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=26/52+12/52-6/52

P(A∪B)=38/52-6/52

P(A∪B)=32/52

P(A∪B)=8/13

Thus, probability of drawing a black card or a face card is 8/13.

Answer:

21.715 degrees.

Step-by-step explanation:

There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.

Yes and opposite and an absolute value of an integer will be the same.

Answer:

693 miles

Step-by-step explanation:

Given that :

Distance between Chicago to Pittsburgh = 462 Mi

On phone :

462 Miles = 2 inches

Using the same scale :

If distance between two cities is 3 inches, how many miles apart are they?

Let distance = d

462 miles = 2 inches

d = 3 inches

Cross multiply

2d = 462 * 3

2d = 1386

d = 1386 / 2

d = 693 miles

Answer:

b

Step-by-step explanation:

The correct and complete question is shown below;

The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]

Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?

Answer:

The probability that the student's GMAT score is higher than 725 = 0.3928

Step-by-step explanation:

From the given information:

Let X be the random variable that follows a normal distribution;

Then;

[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]

To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]

[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]

[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]

By using the EXCEL FORMULA:  [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]

P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]

P(X< 725) = 0.9522

P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]

P(X< 710) =0.8783

[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]

[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]

[tex]P(X > 725 | X > 710)=0.3928[/tex]

Answer:

(x+2)+(x-6)=16

Step-by-step explanation:

the center of the circle is (h, k)

In this case it's (-2,6)

the radius is 4 which is known as r

the formula is: (x-h) + (x-k)= r^2

then you just plug it in

Answer:

25

Step-by-step explanation:

-28+53

Hope this helps! :)