[tex]$3 \frac{3}{4} + 4 \frac{1}{2}$[/tex]

Answer:

-5/4

4/5

Step-by-step explanation:

Given expression ,

=> y = -5/4x + 7

Comparing to the slope intercept form,

As we know that the slope of two parallel lines is same . So the slope of the line parallel to given line will be -5/4 .

Again we know that the product of slope of two perpendicular lines is-1 . Hence ,

=> m' * -5/4 = -1

=> m = 4/5

Answer:

parallel: -5/4; perpendicular: 4/5

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have the slope that is the negative reciprocal of the original slope (basically the upside down negative slope)

Answer:

Which traits did Ben Franklin want to develop in himself?

Generosity, kindness, tolerance

Helpfulness, love, involvement

Acceptance and knowledge of the world

Temperance, efficiency, sincerity, and the avoidance of idleness and extravagance

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

just keep adding 15. Or there are 5 numbers in the sequence already so

9-5=4

4×15=60

85+60=145

Step-by-step explanation:

since there are 26 letters in the alphabet

and there are 10 numbers

without restrictions

10×10×10×26×26×26×10×10×10=17,576,000,000 reservation numbers are possible

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of different reservation numbers that are possible is 17,576 × 10⁶.

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 A hotel reservation number consists of 3 digits, followed by 3 letters, followed by 3 digits.

Since each place can be taken by the digits each place will have 10 possible outcomes, [0,9]. Similarly for each place that can be taken by the alphabet can be taken by 26 different digits.

Therefore, the number of different reservation numbers that are possible is,

Number of different reservations = 10 × 10 × 10 × 26 × 26 × 26 × 10 × 10 × 10

                                                       = 17,576 × 10⁶

Hence, the number of different reservation numbers that are possible is 17,576 × 10⁶.

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Answer:

17/23

Step-by-step explanation:

total number of drinks = 10+6+7=23

forgetting the 6 fruit drinks

p(no fruit drink is chosen)=(10+7)/23 =17/23

Answer:

3 minutes

Step-by-step explanation:

time = distance / speed

t = 2.5 / 50

t = 0.05 hours

0.05 hr * 60minutes /hr = 3 minutes

3 minutes

Answer:

Step-by-step explanation:

Add all sides together and set equal to 360

x+1 + x+2 + x+3 + x+4 =360

Combine Like Terms

4x + 10 = 360

get rid of the ten on both sides

4x = 350

Divide both sides by 4

x = 87.5

Answer:

88%

Step-by-step explanation:

(73+75+84+x)/4=80

x4 to both sides

73+75+84+x=80x4

73+75+84+x=320

232+x=320

x=320-232

x=88

Answer:

88

Step-by-step explanation:

80*4 = 320   320- (73 + 75 +84 ) = 88    we  can cross out 320/80 = 32/8 and 232/320  = 232 /4   (320/4) and divide each side by 4 = 58 / 80 then 29/40 = 40-29 = 11 then decimalise  /10 = 1.1   then multiply 80 * 1.1 = 88

Answer:

Step-by-step explanation:

The cost price of cow = Rs.80

Explanation:

[tex] \sf x + x \: of \: x\%= 144 \\ \\ \sf \implies x + \frac{x \times x}{100} = 144 \\ \\ \sf \implies {x}^{2} + 100x - 14400 = 0 \\ \\ \sf \implies x(x - 80) + 180(x - 80) = 0 \\ \\ \sf \implies x + 180 = 0 \\ \\ \sf \implies x = - 180 \\ \\ \sf \therefore \: {\boxed{ \sf \pink{x = 80}}}[/tex]

The cost price of cow =Rs80

Step-by-step explanation:

The cost price of cow =Rs80

Answer:

10$)_(:+5!_(3!

Step-by-step explanation:

(*4!(*!✓|✓¥×•✓¥{€✓®

Answer:

Total cost of the lease = $7,989

Step-by-step explanation:

12 months = 1 year. So 2 year = 24 months.

Total cost of the lease = (Monthly cost × number of months) + Upfront pay

 Total cost of the lease = ( $205 × 24) + $3,069

 Total cost of the lease = $4,920 + $3,069

   Total cost of the lease = $7,989

Answer:

39

Step-by-step explanation:

105 times 0.38

multiply and get 39.9

you can't have a decimal of a person, so round down

Answer:

1

Step-by-step explanation:

if we graph the two points, we can see that the slope rises 8 and runs 8 as well (graph is attached in the picture). this can be written as 8/8, which is equivalent to 1. the y-intercept is 3, so we can write an equation in slope-intercept form. this would be y=1x+3. we can make a table to check this. to find the values in the table, plug the x values (the standard is -2, -1, 0, 1, 2) into the equation. for -2, we would make the equation y=1(-2)+3, which would make y equal to 1. do this for all the other x values.

x - -2, -1, 0, 1, 2

y - 1, 2, 3, 4, 5

to check if this is correct, check if the points are on the graph. they are, so we know that 1 is the slope.

Add 3y² to both sides of the equation.

x = 1 + 3y²

- Vocab

· Equation

A mathematical statement that says two expressions have the same value; any number sentence with an   = .

· Expression

A mathematical symbol, or combination of symbols, representing a value, or relation.

· Combination

A selection in which order has no importance.

Answer:

25 & 5

Step-by-step explanation:

x+x+20=30

2x+20=30

2x=10

x=5

x+20=25

If One number exceeds another by 20 and their sum is 30 then the two numbers are 5 and 25.

Two or more expressions with an Equal sign is called as Equation.

Given that One number exceeds another by 20 and their sum is 30.

By the given data the two numbers are x+20 and x

As the sum of two numbers is 30

x+x+20=30

Add the like terms

2x+20=30

Subtract 20 on both sides

2x=10

Divide both sides by 2

x=5

So the two numbers are 5 and 5+20 which is 25

Hence, the two numbers are 5 and 25.

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Answer:

30

Step-by-step explanation:

Answer:

127/183 = 693.9 (or 694)/ 1000

Step-by-step explanation:

Hope this helps :)

The angles of each letter are as follows:

∠a = 124°

∠b = 56°

∠c = 56°

∠d  = 38°

∠e = 38°

∠f  =  76°

∠g  = 66°

∠h = 104°

∠k = 76°

∠n = 86°

∠p = 38°

∠a = 180 - 56 = 124°(total angle on a straight line)

∠b = 56°(vertically opposite angles)

∠c = 56°(corresponding angle to ∠b) Note this is possible because there are 2 parallel lines and a transversal.

2∠d + ∠d + 66 = 180 (sum of angles in a triangle)

3∠d = 180 - 66

3∠d = 114

∠d = 114 / 3

∠d  = 38°

∠d  = ∠e (given)

Therefore,

∠e = 38°

∠d + 66 + ∠f = 180

38 + 66 + ∠f  = 180

∠f  =  76°

Recall external angle of a triangle is equals to the sum of the opposite angles. Therefore,

∠f  + ∠g  = ∠d + ∠h

∠f  + ∠g  = 38 + 104

76 + ∠g  = 142

∠g  = 66°

∠d  is one of the base angles of an isosceles triangle. Therefore base angles of the isosceles triangle are equal. This means the other base angle opposite ∠d in the isosceles triangle is congruent to ∠d.

Therefore,

2∠d + ∠h = 180(sum of angles in a triangle)

76 + ∠h = 180

∠h = 180 - 76

∠h = 104°

∠h + ∠k = 180 (sum of angles on a straight line)

∠k = 76°

∠n = 180 - ∠d - ∠c (angles on a straight line)

∠n = 86°

∠p = 180 - 56 - ∠n (sum of angle in a triangle)

∠p = 38°

Therefore, the angles of the letters are:

∠a = 124°

∠b = 56°

∠c = 56°

∠d  = 38°

∠e = 38°

∠f  =  76°

∠g  = 66°

∠h = 104°

∠k = 76°

∠n = 86°

∠p = 38°

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Answer:

12/20, 8/19

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Don't worry my friend, we have the power of order of operations!!

Okay, so first start by replacing the variables with the given numbers.

a(b - 1)^2 = 8(4 - 1)^2

Now do whats in the parentheses.

(4 - 1) =  (3)

Next, we do 3 x 3 . This is because the three is squared.

(3)^2 = 9

Finally, multiply by 8.

8 (9) = 72

Hope this helped! Please comment wether it does or not. :)

Step-by-step explanation:

since x=0

then the answer is (1-0)(1+0)

= 1×1

=1

I have shown my answer on that picture that I have attached

Answer: Total interest will $1800 after 5 years.

Step-by-step explanation: It is given that the principle amount is $6000.

Rate of interest rate is 6% per annum.

Total interest is $1800.

Formula for simple interest is

Where, P is principle, r is rate of interest in percent and t is time in years.

Substitute P=6000, r=6 and I=1800 in the above formula.

Divide both sides by 360.

Therefore the total interest will $1800 after 5 years.

Answer:

15

Step-by-step explanation: trust me i have had the before

Answer

Isosceles

Step-by-step explanation:

You know two points for the leg (4,3) and (3,4). If you look at the x coordinate you know that one of the legs will be longer than the other because 4>3. So the triangle is isosceles.

Answer: [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

Simplify the following radical:

[tex]\sqrt{12}[/tex]

Find the prime factors of 12:

2² × 3

[tex]\sqrt{2^{2} (3)}[/tex] = [tex]2\sqrt{3}[/tex]

Answer:

1 / 25

Step-by-step explanation:

4% in fraction form is 1 / 25

Hello there! (:

4% =4/100

Our fraction can be simplified:

2/50

Divide by 2, because it's not it its simplest form:

1/25

Hope it helps!

#CarryOnLearning

[tex]SparklingFlower[/tex]

Answer:

6

Step-by-step explanation:

9*2/3=3*2=6 (Cross Cancelling)

Answer: 6

Step-by-step explanation:

So basically, you can figure this out by turning 9 into a fraction, which is [tex]\frac{9}{1}[/tex]. So,

[tex]\frac{9}{1}[/tex] x [tex]\frac{2}{3}[/tex] and multiply it across. So 9 x 2 is 18, and 1 x 3 is 3, so that gets us to [tex]\frac{18}{3}[/tex]. And since this is an improper fraction, we divide 18 by 3 to get 6! Hope this helps! :)

Answer:

738 times

Step-by-step explanation:

trough dependent sarcasm