100.6 + 296.5 using
mental math

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

y = 1/2x + 4

The slope is m = 1/2

The slope of the perpendicular line is the inverse of the slope of the original equation.

The slope of the inverse equation is m = -2.

Making an inverse equation of y = -2x + a

Find a:

Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

y = -2x + 5

Answer:

y=½x+5

Step-by-step explanation:

Passes through, (1,3)

Perpendicular to x-2y=-8.

Step 1

write the equation in form of y=mx+c

x-2y=8

-2y=-x+8

Dividing both sides of the equation by -2 we get;

y=-x/2+8

y=-½x+8

Thus the gradient is -½. Call it M1

Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e

M1 × M2= -1

Solve for M2

-½×M2=-1.

Dividing both sides by -½ we get

M2=-1×-2

Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8

Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).

Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.

Slope=∆x/∆y

M2=(x-1)/(y-3)

but M2 is 2

2=(x-1)/(y-3)

2/1=(x-1)/(y-3) Note: 2= 2/1

Cross multiplying we get:

2(y-3)=1(x-1)

Open the brackets

2y-6=x-1

Solve for y so as to write the equation in form of y=mx+c

2y=x-1 +6

2y=x+5

Divide both sides of the equation by 2

y=x/2+5

Answer:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

(y+35)+y+(y-70) =235

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer: You got 80% right

Step-by-step explanation: 100÷20=5     5×16=80

PLEASE MARK ME BRAINLIEST

80% got the right answers out of 20 questions.

percentage, a relative value indicating hundredth parts of any quantity.

The number of questions are twenty 20.

Out of this 20 questions 16 questions are correct.

We need to find the percentage of the right answers.

20x=16

Divide both sides by 20

x=16/20

x=0.8

Now to find the percentage multiply x value with 100 as it is a hundredth part.

0.8×100=80%

Hence, 80% got the right answers out of 20 questions.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:it would be 15 quarters and 10 dimes

Step-by-step explanation:

15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75

Answer:

15 quarters and 10 dimes

Step-by-step explanation:

25x + 10(25-x) = 475

x = 225/15

x = 15

So that has to mean he has 10 dimes

Hope this helps!!!

Answer:

The radius of the circle is: 4.09 cm

Step-by-step explanation:

Assuming the shape to be a circle.

The perimeter of a circle is called circumference and is given by the formula.

[tex]C = 2\pi r[/tex]

For the time being, we know

[tex]\pi = 3.142\\C = 25.71cm[/tex]

Putting the values in the formula we get: as x is the radius

[tex]25.71 = 2 * 3.142 * x\\25.71 = 6.284x\\x = \frac{25.71}{6.284}\\x = 4.09\ cm[/tex]

Hence,

The radius of the circle is: 4.09 cm

Answer: Yes, if there is no number in front of a variable(or letter, as you said), it is actually 1.

a = 1a

x^2 = 1x^2

2m + n = 0 means 2m + 1n = 0

Step-by-step explanation:

Answer:

the remainder is 5. 2,786 R 5

9514 1404 393

Answer:

  150 Wh

Step-by-step explanation:

We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...

  (10 Wh/(bulb·hour))×(3 bulbs)×(5 hours) = 10·3·5 Wh = 150 Wh

Answer:

8

Step-by-step explanation:

Answer:The LCM of 4, 8 and 12 is 24.

Step-by-step explanation:

Answer:

a stretch shirt

Step-by-step explanation:

Answer:

D. 7.56

Step-by-step explanation:

First we can see it has a less than symbol meaning whatever we put has to be less than the first number.

So the only number less than 7.68 is 7.65!

Answer:

D

Step-by-step explanation:

The number we're dealing with is 7.68.

the symbol means that whatever number comes after it is less than 7.68. So, we look at the other numbers to see if they're bigger than 7.68.

8.81 is bigger than 7.68.

8.68 is bigger than 7.68.

7.86 is bigger than 7.68.

7.56 is smaller than 7.68.

Answer:

6 or 33percent

Step-by-step explanation:

because he don't have a numerator

because he is not belong to the group the three is fraction and the first one is a percent

 [tex]\huge\boxed{.6}[/tex]

______________________________

- A rational number is a terminating or repeating decimal.

- An irrational number is when you can't write that number as a fraction.

______________________________

If you have anymore questions, or need help with anything else, feel free to ask!

Answer:

Step-by-step explanation: To find the mean of the dot plot, you will need to add all of the dots together.

For example: Above 2, there are 3 dots , so you would need to multiply 2 by three to get 6 dots above the number 2.

Do that for all of the numbers on the dot graph from 1 - 6, and you will have this equation:

1 + 6 + 18 + 20 + 15 + 12

Next, you will need to add all those numbers together and you will get 72.

Lastly, divide by how many numbers there are, and there are 6 numbers.

So, that will be 72/6 which is 12.

Your answer will be 12.

Answer:

30%

Step-by-step explanation:

Step 1:

6/20          Divide

Step 2:

3/10       Simplify

Step 2:

30/100      Multiply

Answer:

30%

Hope This Helps :)

Answer:

[tex] \huge \bf \: solution[/tex]

[tex] \sf \: total \: people \: = 20[/tex]

[tex] \sf \: people \: picked \: chocolate \: cake = 6[/tex]

[tex] \huge \tt \: \: percent \: = \frac{6}{20} [/tex]

[tex] \tt \: now \: \\ \tt \: \frac{3}{10} [/tex]

[tex] \tt \: 3 \times 10 = 30[/tex]

[tex] \large \boxed{30\%}[/tex]

Answer:

The diagram can't be seen

Step-by-step explanation:

.... Sry.. I can't solve this one... I can't see the diagram

Answer:

hsad

Step-by-step explanation:

Answer:

1708.14 rounded

Step-by-step explanation:

Y= a•b^x

5.5% = 0.055

1+0.055=1.055

Y= 1000•1.055^10

Y= 1708.14

Answer:

f⁻¹(y) = y^(-7/17)

Step-by-step explanation:

f(x) = x^(-17/7)

To find the inverse, switch x and y, and solve for y.

x = y^(-17/7)

x^(-7/17) = y

Therefore, f⁻¹(y) = y^(-7/17).

Answer:

45°

Step-by-step explanation:

First, find the measure of each interior angle of the octagon.

Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]

Where, n = 8.

Plug in the value of n into the formula

[tex] = \frac{(8 - 2)180}{8} [/tex]

[tex] = \frac{(6)180}{8} [/tex]

[tex] = \frac{1,080}{8} = 135 [/tex]

x = 180 - 135 (straight line theorem.)

x = 45°

Answer:

its not

Step-by-step explanation:

because the x equals 4 so it will be 4+3+4=9 because 3+4 equals 5 so you add 4 and get 9

Answer:

9991

Step-by-step explanation:

103 × 97

(100 +3) (50+47)

get two number which you can add to get the value in the question

n then expand

100(50+47) +3(50+47)

5000+4700+150+141

9991

Answer:

x = 15°

x = 135°

x = -45°

x = -180°

Step-by-step explanation:

Trigonometric Equations

Solve

cos(2x + 30°) = 0.5 for -180° ≤ x ≤ 180°

Applying the inverse cosine function:

2x + 30° = arccos(0.5)

There are several angles whose cosine is 0.5. They are 60°, 300°, -60° and -300°, thus we have these candidate solutions:

2x + 30° = 60°

2x + 30° = 300°

2x + 30° = -60°

2x + 30° = -300°

Subtracting 30° to all the equations:

2x = 60° - 30° = 30°

2x = 300° - 30° = 270°

2x = -60° - 30° = -90°

2x = -60° - 300° = -360°

Dividing by 2 we have the complete set of solutions:

x = 15°

x = 135°

x = -45°

x = -180°

9514 1404 393

Answer:

  a) h/2

  b) r/√2 = (r√2)/2

Step-by-step explanation:

a) The volume of a cone is proportional to height. If the volume is halved, then the height will be halved.

The new height will be h/2.

__

b) The volume is proportional to the square of the radius. If the volume is halved, the square of the radius is halved. The new radius will be ...

  (r')² = r²/2

  r' = r/√2 = (r√2)/2 . . . radius of half-volume cone

Answer:

4+4 = 8.

Step-by-step explanation:

Or 44, depends on whether you're trolling. XD

Hope this helped...

[tex] \huge \: Your \: answer \: is \: 8[/tex]

Answer:

$0.90

Step-by-step explanation:

1 quart = 2 pints

Write a proportion:

$1.80 / 4 pint = x / 2 pint

Cross multiply:

4x = 3.60

Divide:

x = 0.90

The price per quart is $0.90.

Answer:

4-quart carton of fruit punch for $2.08

Step-by-step explanation:

4-quart carton of fruit punch for $2.08

2.08 : 4 = 0.52

check your work:  0.52 x 4 = 2.08

so for the first offer you will be paying $0.52 per quart .

4-cup carton of fruit punch for $0.80

1 cup = 0.25 quarts

4 cups = 1 quart

0.80 : 1 = 0.80

for the second offer you will be paying $0.80 per quart of fruit punch. 4-quart carton of fruit punch for $2.08 is a better buy because you will be paying for each quart than in first offer.

hope this helps!

Answer:

12²

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

12² + 10 × 2 - (9 + 6) ÷ 5

Step 2: Steps

We do parenthesis first, so (9 + 6) is the first thing we do.

The next thing we do is exponents (according to BPEMDAS), so we do 12².

Answer:

Following PEMDAS

Next step : Exponents

Next step : Multiplication

Next step : Division

Next step : Addition

Next step : Subtraction

Step-by-step explanation:

12²+10×2-(9+6)÷5

Open parentheses

12²+10×2-15÷5

Exponents : 12²= 144

144+10×2-15÷5

Multiplication : 10×2=20

144+20-15÷5

Division : -15÷5= -3

144+20-3

Add :144+20=164

164-3

Subtract

= 161