Solve the equation
(If possible please show work)

Answer:

102.5, 103.5

Step-by-step explanation:

a+a+1=206

2a+1=206

2a=205

a=102.5

103.5

I think there is a bug here. They can't be whole numbers.

Answer:

There are no two consecutive whole numbers that sum to 206 (See proof below)

Step-by-step explanation:

let the first number be x

since the numbers are whole and consecutive, the second number must be (x + 1)

we are given that the number sum to 206

hence,

x + (x+1) = 206

x + x + 1 = 206

2x + 1 = 206  (subtract 1 from both sides)

2x = 206 - 1

2x = 205  (divide both sides by 2)

x  = 205/2 = 102.5  (NOT A WHOLE NUMBER)

if x = 102.5, then the second number must be

x + 1 = 102.5 + 1 + 103.5 (ALSO NOT A WHOLE NUMBER)

Answer:181/250

Step-by-step explanation:

Answer:

Step-by-step explanation:

a n = a 1 r n − 1

Answer: B

Step-by-step explanation:

1. Multiplying two negatives equals a positive.

2. Reduce the numbers with the GCF, 3.

3. Reduce the numbers with the greatest common factor, 2.

4. Multiply the fractions which would give you: 5/6

Answer:

B. 5/6

Step-by-step explanation:

1.multiply -3 by -10 (negative multiplying negative is positive) which will give you 30

2.Then multiply 4 by 9 = 36.

3.u will get 30/36, divide both the numerator and denominator by 6.

4. it will give you 5/6 as an answer.

Answer:

Rita is 20 years old

Step-by-step explanation:

If you add 8 years to Fati's age, (15+8), you get 23. That is Rita's age right now. Now subtract 3 from 23. You get 20. So Rita is 20 years old.

Answer:

Undefined

Step-by-step explanation:

Slope of the line

[tex] = \frac{1 - ( - 7)}{ - 7 - ( - 7)} = \frac{1 + 7}{ - 7 + 7} = \frac{8}{0} = \infty \\ = undefined [/tex]

Answer:

100

Step-by-step explanation:

5% of 100 is 95 so it becomes 95 when it is reduced by 5%

Answer:

0.9

Step-by-step explanation:

the answer is 95-5/100

=0.9 so the answer is 0.9

I hope this was helpful

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = [tex]\frac{2}{100}[/tex]

θ = [tex]\text{tan}^{-1}(\frac{2}{100})[/tex]

Option (A) will be the answer.

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

There are 3 methods to find the lowest common multiple (LCM)

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

Method 1

List out the multiples of 6 and 8

multiples of 6 = {6, 12, 18, 24, 30, 36, 42, 48, ...}

multiples of 8 = {8, 16, 24, 32, 40, 48, ...}

We see that 24 is the smallest number in both sets at the same time. So this is the LCM.

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

Method 2

Write the prime factorization of 6 and 8

prime factorization of 6 = 2*3

prime factorization of 8 = 2*2*2

The unique prime factors here are 2 and 3. We have 2 show up at most three times meaning that 2*2*2 = 8 is a factor of the LCM. The number 3 is also a factor meaning that 8*3 = 24 is the LCM.

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

Method 3

Multiply the denominators 6 and 8 to get 6*8 = 48

48 is a common multiple, but its not the smallest

we can divide 48 over the GCF 2 to get 48/2 = 24, which is the actual LCM.

So when you have 2 different denominators, you can multiply their values and then divide by the GCF to get the LCM.

Answer:

[tex]\large\boxed{x = -4}[/tex]

Step-by-step explanation:

-2x + 4 = 12

Subtract 4 from both sides of the equation

-2x = 8

Divide both sides of the equation by 2

-x = 4

Transfer the minus (multiply both sides by -1)

[tex]\large\boxed{x = -4}[/tex]

Hope this helps :)

Answer:

x = -4

Step-by-step explanation:

-2x + 4 = 12

-2x = 8

x = -4

Answer:

90 dollars. The total will be $1,590.00.

Step-by-step explanation:

6% of 1500 is 90

We start by converting 6% to a fraction :

6% = 3/50  

Then we have

6% of 1500 = 3/50 x 1500 = 3/50 x 1500/1 = 4500/50

Notice that 1500 was rewritten as the fraction 1500/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.

In order to find the simplest form of the fraction 4500/50 we cancel out the greatest common divisor of 4500 and 50, which is 50 :

4500/50=90/1

So the final answer is

6% of 1500=90

Answer:

The length r can be found using the Law of sines.

Length r = 14.8

Step-by-step explanation:

The length r can be found using the Law of sines.

The formula for the Law of Sines states that:

a/Sin A = b/ Sin B

In the above question,

∠P = 27°

∠R = 135°

p = 9.5

r = ????

The formula =

p/Sin P = r/Sin R

9.5/Sin 27° = r/Sin 135°

Cross Multiply

r × Sin 27° = 9.5 × Sin 135°

r = 9.5 × Sin 135°/Sin 27°

r = 14.7966

Approximately Length r = 14.8

Answer:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

Step-by-step explanation:

I hope it help you

Answer:

Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range

Step-by-step explanation:

Answer:

y - 14(x) = 40 (Hopefully)

Step-by-step explanation:

-2 = 14(-3) +40

y = 14(x) + 40

y - 14(x) = 40

Answer:

its 26. Just take my word for it

Step-by-step explanation:

14-12=2

26-14=12

40-26=14

You see the pattern. Alexi will score 26 pts. btw, this goes against the laws of probability, but whatever.

Answer:

6x + 8p - 16

Step-by-step explanation:

Given

2(3x + 4p - 8) ← multiply each term in the parenthesis by 2

= 6x + 8p - 16

Answer:

Step-by-step explanation:

2(3x + 4p - 8)= 2*3x + 2* 4p + 2*(-8)

                     = 6x + 8p - 16

Answer:

-8b+36 is the answer.

Step-by-step explanation:

=8(-b+4)

Opening brackets to simplify

=8✖️(-b)+8✖️4

=-8b+36 is the answer.

Hope this will help you :)

Answer:

Step-by-step explanation:

250 gals divided by 4.09

answer:61.12

Hi

draw 1 :  4/12 = 1/3

draw2 :  3/11

draw 3 : 5/10 = 1/2

so probability to have  :  1 banana then 1 apple then 1 orange  is :  1/3*3/11*1/2 =  3/66 =  3*1 / 2*3*11 =  1/22

Answer:

1/22

Step-by-step explanation:

Work out the probability of selecting each fruit then times them together so

there are 12 fruits in total and 4 bananas so the chance of selecting a banana is 4/12 simplified 1/3

then as you dont put the banana back there is only 11 fruits left in the basket and 3 are apples so the chance of selecting an apple is 3/11

then as you dont put the apple back there is only 10 fruit left in the basket and 5 are oranges so the chance of selecting an orange is 5/10 simplified 1/2

then we multiply them all together 1/3 x 3/11 x 1/2 3/66 to get which simplifies to 1/22

Answer:

Step-by-step explanation:

b-78

(-9)+7-(-3)

-9+7+3

-9+10

1

Answer:

1

Step-by-step explanation:

(-9) +7 is -2 because the brackets here don't change anything

so we have -2 - (-3) two negatives make a positive so - (-3) is basically +3 leaving -2+3 so the answer is 1

Hope this helps!

Answer:

Option A

Step-by-step explanation:

7 * (3 * 5) = (7*3) * 5

Associative Property:

When three or more numbers are multiplied, the product is always same regardless of the regrouping

Answer:

a is correct cause foot

Answer:

20. J, 21. B

Step-by-step explanation:

20. P = 15 (2) + 8 (2)

      P = 36 ft.

21. 15 - 6 = 9 ft.

Answer:

[tex]\Large \boxed{\mathrm{20. \ 46 \ feet}} \\ \\ \\ \Large \boxed{\mathrm{21. \ 9 \ feet}}[/tex]

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides.

[tex]\Rightarrow 15+8+15+8[/tex]

[tex]\Rightarrow 46[/tex]

The distance between the window and the foot of the bed is:

length of the room - length of the bed

[tex]\Rightarrow 15 - 6[/tex]

[tex]\Rightarrow 9[/tex]

Subtract one equation from the other to eliminate x :

(x + 3y) - (x - 3y) = 7 - 1

6y = 6

y = 1

Answer:

I would use a bar graph so the bottom of the graph could be the number of books, and the left could be the price. the higher the bar is, the higher the price. It is easy to compare heights of the bars from just looking at the graph.

Answer:

Does anyone know if this is correct please help

Step-by-step explanation:

Answer:

Orion reports a higher density than Guang.

Step-by-step explanation:

Khan said it was right.

Answer: Orion or number 2

Step-by-step explanation:

khan is always correct

Answer: Hi!

Answers B and D are correct.

For B, since negative numbers are on the left side of the number line, a positive number would have to be to the right of a negative number. Since we are adding a negative and a positive number of the same absolute value (9), they would cancel out to 0, which makes D true.

Hope this helps!

Hi there! Hopefully this helps!

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

Explanation for D: -9 + 9 = 0.

Explanation for B: Negative numbers are on the LEFT side of the number line.

And positive numbers are on the right.

Therefore, 9 is to the RIGHT of -9 on the numberline.

Answer:

Step-by-step explanation:

[tex]7500 \times 5643 \\ = \frac{42322500}{3} \\ = 14107500[/tex]

Answer:

[tex]\Large \boxed{14107500}[/tex]

Step-by-step explanation:

There are different ways to do this;

1. ⇒ (7500×5643)÷3

⇒ 42322500÷3

⇒ = 14107500

2. ⇒ 7500*5643/3

⇒ 42322500/3

⇒ =14107500

^ Two ways you could have solved the Q.

Answer; 14107500

Answer:

5 upon 50

5/50 X 100%

1/10 X 100%

10 %

is your answer

plz brainlist me please