Help me please.......

Answer:

[tex]\dfrac14[/tex]

Step-by-step explanation:

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

If 8 students in a class of 32 wear glasses, then the probability of the first student who walks out of class wearing glasses will be:

[tex]\dfrac{8}{32}[/tex]

Simplifying:

[tex]\dfrac14[/tex]

Answer:

CEFA

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides. A rectangle has two lengths of equal size and two width of equal size. To find the perimeter, add the length and width and multiply by 2.

1. perimeter = 2(3x + 2 + 2x) = 2(5x + 2) = 10x + 4

2. perimeter = 2(4x + 1 + x) = 2(5x + 1) = 10x + 2

3. perimeter = 2(x + 5 + 7) = 2(x + 12) = 2x + 24

4. perimeter = 2(4x - 3 + 5) = 2(4x + 2) = 8x + 4

Codes:

1. C

2. E

3. F

4. A

Answer:

y-intercept is 6, the slope is 2/3

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

21

Step-by-step explanation:

First determine the amount of tax

20 * .05

1

Add this to the original amount

20+1

21

He will pay 21 dollars

Answer:

  44

Step-by-step explanation:

The relations can be written using one variable to represent Mikhail's age: m. Gabrielle's age is (m-11), so the sum of their ages is ...

  m +(m -11) = 77

  2m = 88 . . . . . . add 11

  m = 44 . . . . . . . divide by 2

Mikhail's age is 44.

__

Additional comment

Gabrielle is 33.

You could solve this using two variables:

Adding these two equations gives the one we have above:

  2m = 88

  m = 44

__

You may have noticed we are given the sum and the difference of the two ages. The older Mikhail's age is half the sum of those two numbers. The younger Gabrielle's age is half their difference: (77 -11)/2 = 33. This "half the sum, half the difference" solution is the generic solution to a "sum and difference" problem.

Gabrielle : 33

Mikhail : 44

Explanation:

Let Mikhail's age be x

And Gabrielle's age be y.

======================

Gabrielle is 11 years younger than Mikhail

y = x - 11     [ equation 1 ]

sum of their ages is 77

x + y = 77    [ equation 2 ]

Insert equation 1 into 2

x + x - 11 = 77

2x = 77 + 11

2x = 88

x = 44

Therefore, the age of Mikhail is 44

Find Gabrielle's age:

y = x - 11

y = 44 - 11

y = 33

Therefore, the age of Gabrielle is 33

Answer:

=18938545.55220... x^3

Step-by-step explanation:

Answer:

Please see below :)

Step-by-step explanation:

Angle 2 is congruent to angle 3 by definition of angle bisector.

Angle 1 is congruent to angle 3 by the transitive property of congruence.

Please let me know if something's wrong!

The missing values are:

<2 = 1/2 ∠BDE by Angle Bisector Theorem.

<3 = 1/2 ∠BDE by the transitive property

It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.

So, <1 and <2 are corresponding angles.

Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.

It is also given that DC bisects ∠BDE,

So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.

Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.

Therefore, <1 ≅ <3 by the transitive property of congruence.

Learn more about Angle Bisector here:

https://brainly.com/question/28565813

#SPJ7

Answer:

Step-by-step explanation:

hope this help

x+1/2x+2/3x+4=30, which has one solution

Answer:

Graph (C)

Step-by-step explanation:

To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.

Graph A.

In this graph for every input value (x-value) there are two output values (y-values).

For x = -2, y = -2, 2

So the graph doesn't represent a function.

Graph B.

For every x value there are two y-values

For x = -5, y = -3, 3

So the graph doesn't represent a function.

Graph C.

For every input value there is a different y-value.

Therefore, graph represents a function.

Graph D.

In this graph for x = 3, y = 1, 2, 3, 4

For one value of x, there are four values of y.

Therefore, graph doesn't show the relationship.

Graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.

A functional relationship is a relationship whereby every input in the relation has exactly one possible output.

In other words, a functional relationship must have exactly one output that corresponds to each of the input values.

Thus, graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.

Learn more about functional relationship on:

https://brainly.com/question/6461752

Answer:

[tex]2. - 2 \\ - 3.0 \\ - 7. - 7[/tex]

Answer:

I believe the correct answer is D

The minimum payment of card u of Connie is $11.54 is greater than the minimum payment of credit cart v.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Connie has two credit cards, u and v. The card u has a balance of $414.55 and the minimum monthly payment on card u is 2.82% of the balance. Thus, the minimum payment for card u is,

[tex]P_u=\dfrac{2.82}{100}\times414.55\\P_u=11.69[/tex]

Card v has a balance of $751.81 and the minimum monthly payment on card v is 3.09% of the total balance. Thus, the minimum payment for card v is,

[tex]P_v=\dfrac{3.09}{100}\times751.81\\P_v=23.23[/tex]

The difference between the minimum payment of both the cards is,

[tex]d=23.23-11.69\\d=11.54[/tex]

Thus, the minimum payment of card u of Connie is $11.54 is greater than the minimum payment of credit cart v.

Learn more about the percentage here;

https://brainly.com/question/24304697

Answer: mx+b=y

Step-by-step explanation:

Rise over run

Answer:

3(x - 3y) + 6y - 8x

Perform the distributive property;

3x - 9y + 6y - 8x ← Expanded form

Group like terms:

(3x - 8x) (-9y + 6y)

-5x - 3y ← Simplified form

Answer:

I believe it is -5x - 3y

B. 14.084 < 14.102

< means :  less than - smaller than

Answer:

$40/5

Step-by-step explanation:

If you're trying to figure out the cost of each class divide the amount of money you pay in all ($40 dollars) by 5. Once you do that you should get 8, so $8 per class.

Answer:

ok so we know that all lights are either red, yellow or blue so first lets add up the red and yellow

26+37=63

ok so that means that 63 out of the 95 are red or yellow now lets see whats left for blue

95-63=32

32 blue

Hope This Helps!!!

Answer:

32

Step-by-step explanation:

95-26-37=32

use subtraction

Answer:step 3

Step-by-step explanation:

Answer:

Step 3.

Step-by-step explanation:

She subtracted the 5 from 10.2b even though 5 did not have the variable b.

Answer:

$100.25

Step-by-step explanation:

To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]

Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]

Answer:

Step-by-step explanation:

Cost of toy =100

Selling price = 90

Loss = 100

Loss in percentage = 10/90*100

Loss in %= 11.11

Answer:

£2314.20

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

Given:

⇒ A = 2100(1 + 0.051 · 2)

⇒ A = 2100(1.102)

⇒ A = £2314.20

Answer:

  A.  4 square units

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

Your triangle has a base of 4 units and a height of 2 units. Its area is ...

  A = 1/2(4)(2) = 4 . . . . square units

__

The triangle dimensions are easily found from your diagram by counting grid squares. If you like, you can subtract the x-coordinates of the points on the horizontal line y=1 to find the base length: 2 -(-2) = 4. And you can subtract the y-coordinates of the points on the vertical line x=-2 to find the height: 3 -1 = 2.

Answer:

20 inches

Step-by-step explanation:

Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.

480÷12 = 40

That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.

1/2 × 40 =20

This means that the distance between the cities on the map would be 20 inches.

Answer:

over 18716271717161626cm

To solve this question, we have to:

Doing this, we get that: 6 different such triangles can be made.

Isosceles triangle:

In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.

Perimeter:  

The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.

Constraint:

The sum of the lengths of the two smaller sides of a triangle has to be greater than the length of the greater side.

This triangle:

Thus, the perimeter is:

[tex]P = 2x + y = 28[/tex]

Now, for the values of x, we find if the values of y generate a triangle, respecting the constraint.

x = 1

[tex]2 + y = 28 \rigtharrow y = 26[/tex]

1 + 1 < 26, thus, the constraint is not respected.

x = 2

[tex]4 + y = 28 \rightarrow y = 24[/tex]

2 + 2 < 24, thus, the constraint is not respected.

x = 3

[tex]6 + y = 28 \rightarrow y = 22[/tex]

3 + 3 < 22, thus, the constraint is not respected.

x = 4

[tex]8 + y = 28 \rightarrow y = 20[/tex]

4 + 4 < 20, thus, the constraint is not respected.

x = 5

[tex]10 + y = 28 \rightarrow y = 18[/tex]

5 + 5 < 18, thus, the constraint is not respected.

x = 6

[tex]12 + y = 28 \rightarrow y = 16[/tex]

6 + 6 < 16, thus, the constraint is not respected.

x = 7

[tex]14 + y = 28 \rightarrow y = 14[/tex]

7 + 7 = 14, thus, the constraint is not respected.

x = 8

[tex]16 + y = 28 \rightarrow y = 12[/tex]

8 + 8 > 12, thus, the constraint is respected, and this is the first possible triangle.

x = 9

[tex]18 + y = 28 \rightarrow y = 10[/tex]

9 + 9 > 10, thus, the constraint is respected, and this is the second possible triangle.

x = 10

[tex]20 + y = 28 \rightarrow y = 8[/tex]

8 + 10 > 10, the constraint is respected, and this is the third possible triangle.

x = 11

[tex]22 + y = 28 \rightarrow y = 6[/tex]

11 + 6 > 11, the constraint is respected, and this is the fourth possible triangle.

x = 12

[tex]24 + y = 28 \rightarrow y = 4[/tex]

4 + 12 > 12, the constraint is respected, and this is the fifth possible triangle.

x = 13

[tex]26 + y = 28 \rightarrow y = 2[/tex]

13 + 2 > 13, the constraint is respected, and this is the sixth possible triangle.

x = 14

[tex]28 + y = 28 \rightarrow y = 0[/tex]

Cannot have a triangle with a side of 0, so this is not possible.

After the tests, we have that 6 different such triangles can be made.

A similar question is given at https://brainly.com/question/6139098

Answer:

the answer is (v+8)3

(my answer needs to be longer so I'm writing this)

Answer:

Present Value = $413.99

Interest rate = 4.25%

Years = 8.5 years

Future value = P(1+I)^n

Future value = $413.99*(1+0.425)^8.5

Future value = $413.99*(1.0425)^8.5

Future value = $413.99*1.4244478

Future value = $589.707144722

Future value = $589.71

The total amount to be earned as a result of the investment for 8.5 years is $589.71.