The two-way frequency table below shows data on behavior of students and the use of positive phone calls home as an incentive for behavior for a group of students at Lion's Lane Elementary School.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)

Given our current rail fare of £16.25, we are looking for the price of the rail fare after a 5% increase.

To find the value of a 5% increase, we can multiply the rail fare by 1.05 since it is 5% added to the total value.

Or, we can multiply the rail fare by 5 and then divide by 100 to get how much will be added onto it.

Let's do both of them:

Increase: 5%

Equation: 1.05 x 16.25

1.05 x 16.25 = 17.06 rounded to the nearest cent

Rail Fare after 5% increase:  £17.06

Increase: 5%

Equation: (5 x 16.25)/100

81.25/100 = .81 rounded to nearest cent

Then, we add them together.

16.25 + 81 = 17.06

Rail Fare after 5% increase:  £17.06

Answer:

3.  AC

4. DC

Step-by-step explanation:

3. The largest interior angle and side are opposite each other.

The largest angle is angle B so AC is the longest side

4. The smallest interior angle and side are opposite each other.

The smallest angle is A so DC is the shortest side

Answer:

dc is the correct answer

Step-by-step explanation:

Answer:

10 months

Step-by-step explanation:

So you should pick equation B, since it fits all the criteria.

Solve it:

25m + 33950 = 35700 - 150m

175m = 1750

m = 10

The temperature in degree Fahrenheit is (c) 122

The function is given as:

[tex]C = \frac 59(F - 32)[/tex]

When the temperature is 50 degrees Celsius, it means that:

C =50

Substitute 50 for C in [tex]C = \frac 59(F - 32)[/tex]

[tex]50 = \frac 59(F - 32)[/tex]

Multiply through by 9

[tex]450 = 5(F - 32)[/tex]

Divide both sides by 5

[tex]90 = F - 32[/tex]

Add 32 to both sides

[tex]F = 90 +32[/tex]

[tex]F = 122[/tex]

Hence, the temperature in degree Fahrenheit is (c) 122

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Answer:

70 - 25 ÷ 3

Step-by-step explanation:

Yeah it doesn't really need an explanation because I just did the work for you lol.

Plz click the Thanks button!

<Jayla>

Answer:

[tex]c=\dfrac{27}{40}\\[/tex]

Step-by-step explanation:

We are required to solve for c in the equation: [tex]\dfrac{1}{8}+c= \dfrac{4}{5}[/tex]

Step 1: Collect like terms

[tex]\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}[/tex]

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

[tex]40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40[/tex]

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

[tex]c=\dfrac{27}{40}\\[/tex]

Answer:

27/40

Step-by-step explanation:

Answer:

this is the right answer : 6.5 * 10^-3 m

Answer:

Minh's grade has less boys than Ella's

Answer:

5/9

Step-by-step explanation:

5/3÷3

Copy dot flip

5/3 * 1/3

5/9

Answer:

y= x^2/24 + 11x/24 +121/4

Step-by-step explanation:

The standard form of the equation for the circle that passes through the points will be D. (x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5

It should be noted that s standard form simply means a form or writing a a mathematical concept in a form that follows certain rules.

In this case, the standard form of the equation for the circle that passes through the points will be x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5

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Answer:

55% of the people surveyed were satisfied with the​ car

Step-by-step explanation:

The proportion of people surveyed who were satisfied with the car is the number of people who said they would buy that type of car again divided by the total number of people survied.

The percentage is the proportion multiplied by 100.

We have that:

2,300 people surveyed

1,265 said they would buy that type of car again.

1265/2300 = 0.55

0.55*100 = 55%

55% of the people surveyed were satisfied with the​ car

Answer:

Step-by-step explanation:

m + 62 = 45

m = -17

x + 25 = 8

x = -17

Answer:

slope is 6

Step-by-step explanation:

slope is defined as you move from left to right or from up to down.

30 meters/5 seconds = 6

Answer:

5

Step-by-step explanation:

Answer:

Joel took 70 total shots on goal on Wednesday.

Step-by-step explanation:

Of Joel's total shots on goal, 20 percent were with his left foot. He took 141414 shots with his left foot. 14 is 20, percent of what number?

Answer:

[tex]3801.32 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]V

=

π

{r}^{2}

h

\\

=

π

·

{11}^{2}

·

10

\\

≈

3801.3271[/tex]

Answer: 24.6

Step-by-step explanation:

Answer:

[tex]3x^{2} -3x-6[/tex]

Step-by-step explanation:

Answer:

182,427.03

Step-by-step explanation:

total cost =    r*p*n

                   ---------------

                     1- (1+r) ^-n

Where r is the loan rate, p is the principal, n is the number of payments

rate = 4.04% / 12 months

total cost = (.0404/12)* 125000* 240

                    ------------------------------

                     1- (1+.0404/12)^-240

101000

-----------------

1-.44635

101000

-----------------

.55364

182,427.03

Using Payments are 730 *240 months

730*240 =175200

Answer:

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

Step-by-step explanation:

To solve the problem, we need to write each fraction in decimal form.

Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.

[tex]\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502[/tex]

Answer:

B = 80

Step-by-step explanation:

y = 4x

y = 1/2x + 280

Substitute one equation into another.

4x = 1/2x + 280

Combine like terms

3.5x = 280

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80. Option B is correct.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The amount of revenue in dollars, y, that Jason receives from selling x posters is given by the equation y = 4x. The cost of producing x posters is given by the equation y = (1/2)x + 280.

Then the number of posters that Jason needs to sell so that the cost and revenue are equal will be given as,

4x = (1/2)x + 280

4x - (1/2)x = 280

(7/2)x = 280

7x = 560

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80.

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Answer:

I'm going to say that there is one girl in the class

Answer:

6,431

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

Answer:

Step-by-step explanation:

$86.50

Answer:

[tex]\angle ABC=(46)^{\circ}[/tex]

Step-by-step explanation:

Given: BD bisects [tex]\angle ABC[/tex]

[tex]\angle ABD=(4x-5)^{\circ}\\\angle DBC=(3x+2)^{\circ}[/tex]

To find: [tex]\angle ABC[/tex]

Solution:

A bisector of an angle divides it into angles of equal measures.

As BD bisects [tex]\angle ABC[/tex], [tex]\angle ABD=\angle DBC[/tex]

Put [tex]\angle ABD=(4x-5)^{\circ}\,,\,\angle DBC=(3x+2)^{\circ}[/tex]

[tex]\angle ABD=\angle DBC\\(4x-5)^{\circ}=(3x+2)^{\circ}\\4x-3x=2+5\\x=7^{\circ}[/tex]

So,

[tex]\angle ABD=(4x-5)^{\circ}=(4(7)-5)^{\circ}=(28-5)^{\circ}=(23)^{\circ}\\\angle DBC=(3x+2)^{\circ}=(3(7)+2)^{\circ}=(21+2)^{\circ}=(23)^{\circ}[/tex]

[tex]\angle ABC=\angle ABD+\angle DBC\\=(23)^{\circ}+(23)^{\circ}\\=(46)^{\circ}[/tex]

A bisector divides lines, angles and shapes into equal segments

The measure of angle ABC is 46 degrees

The given parameters are:

Given that line BD is the bisector of angle ABC, it means that:

[tex]\angle ABD = \angle DBC[/tex]

and

[tex]\angle ABC = 2\times \angle ABD[/tex]

So, we have:

[tex]4x - 5 = 3x +2[/tex]

Collect like terms

[tex]4x - 3x = 5 +2[/tex]

Evaluate like terms

[tex]x = 7[/tex]

Recall that

[tex]\angle ABC = 2\times \angle ABD[/tex]

So, we have:

[tex]\angle ABC = 2 \times (4x - 5)[/tex]

Substitute 7 for x

[tex]\angle ABC = 2 \times (4\times 7 - 5)[/tex]

[tex]\angle ABC = 2 \times (28 - 5)[/tex]

[tex]\angle ABC = 2 \times 23[/tex]

[tex]\angle ABC = 46[/tex]

Hence, the measure of angle ABC is 46 degrees

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Answer:

the answer might be 'scariest zoo animal'

Step-by-step explanation:

hope this helps

Answer:

i think the answer is "favorite zoo animal"

Step-by-step explanation:

because one thing that can't be an answer is "scariest zoo animal" because otter has the most vote and a lion or bear is scarier than a otter, so it can't be "scariest class pet* cause of the same reason. it can either be *favorite class pet" or "favorite zoo animal". if you see, in that on if we see the chart lion has the second highest votes and lion can't be a class pet, so it is "favorite zoo animal"

Answer:

5 is the answer I hope it helps

Answer:

-8xy+2xy=-6xy