What’s 18/100 in simplest form

Answer:

D

Step-by-step explanation:

If two secants intersect to form the vertex of an angle outside a circle and the sides of the angle intercept arcs on the circle, then the measure of the angle is equal to one-half the difference of the measures of the arcs intercepted by the sides of the angle.

So

[tex]85-25=60[/tex]

[tex]\frac{60}{2}=30[/tex]

Answer:

6 units²

Step-by-step explanation:

The area (A) of a triangle is

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 3 and h = 4, hence

A = 0.5 × 3 × 4 = 0.5 × 12 = 6

Answer:

4 ml of the 63% milk drink

Step-by-step explanation:

Multiplying 15 ml by 0.15 results in 2.25 ml, the amount of whole milk in the drink.  Let m represent the number of ml of a drink that is 63% milk.

The final amount of milk drink that is to be 45% milk will be 15 ml + m, and the amount of whole milk contained in this drink will be 0.45(15 + m).

Then:

0.15(15 ml) + 0.63(m) = 0.45(15 + m), where m is to be in milliliters.

2.25 + 0.63m = 6.75 + 0.45m

First:  consolidate the m terms on the left.  0.63m less 0.45m yields 18 m; then we have:

2.25 + 18m = 6.75, or

18 m = 4.50, or m = 4 ml.

In conclusion:  adding 4 ml of that 63% milk drink to the initial 15 ml of 15% milk will result in (15 ml + 4 ml) of a 45% milk drink.            

Answer:

y= 1/2 x +6

Step-by-step explanation:

y-8= 1/2 (x-4)

y-8= 1/2 *x - 1/2*4

y= 1/2 *x - 1/2*4 +8

y= 1/2 *x - 2 +8

y= 1/2 *x +6

Answer:

A. 7 red candles, 1 silver candle

Step-by-step explanation:

6 red candles * $3 each = $18

2 silver candles * $7 each = $14

$18 + $14 = $32 (the total cost)

Answer:

B. 6 red candles, 2 silver candle

Step-by-step explanation:

Answer:

m∠A=90°, m∠B=60°, m∠C=30°

Step-by-step explanation:

step 1

Verify if the triangle ABC is a right triangle

Applying the Pythagoras theorem

[tex]12^{2}=6^{2}+(6\sqrt{3})^{2}[/tex]

[tex]144=144[/tex] ----> is true

therefore

Is a right triangle

m∠A=90°

Find the measure of angle C

sin(C)=AB/BC

substitute

sin(C)=6/12=1/2

so

m∠C=30°

Find the measure of angle B

we know that

m∠C+m∠B=90°------> by complementary angles

so

m∠B=90°-30°=60°

Answer:

x<11

Step-by-step explanation:

To solve this inequality, we must isolate the x. To do that, we divide both sides by 5. This gives us x<11. So all numbers less than eleven belong to the solution set of the inequality.

Answer:

All number less than 11.

Step-by-step explanation:

5x < 55

We just isolate x by dividing both sides by 5:

5x / 5 < 55/5

x < 11.

For this case we must find an equation equivalent to:

[tex]\sqrt {x ^ 2 + 81} = x + 10[/tex]

We square both sides of the equation to eliminate the root:

[tex]x ^ 2 + 81 = (x + 10) ^ 2[/tex]

We have by definition that:

[tex](a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2[/tex]

So, rewriting the right side of the equation we have:

[tex]x ^ 2 + 81 = x ^ 2 + 2 * 10 * x + 10 ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x + 100[/tex]

ANswer:

Option D

Answer:

x=20

Step-by-step explanation:

Since this is a right angle, it is equal to 90 degrees

x + 3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 =90-10

4x=80

Divide by 4

4x/4=80/4

x = 20

Answer:

any real number

Step-by-step explanation:

Answer when simplified gives 0 = 0

This indicates that any real value of x is a solution.

Usually because the equations on both sides are equal.

That is 2x + 10 = 2x + 10 leading to 0 = 0

The length of h in the given composite figure will be 4, i.e. option B.

Composite geometric figures are made from two or more geometric figures.

We have,

A composite figure,

Now,

From the figure -- (dash) marked lines are equal , and all dashed marked lines are equal to 1.

Now,

h of the given composite figure consists of two dashed marked lines and 2m.

i.e.

h = 1 + 1 + 2

So,

h = 4 m

So,

The length of h is 4m.

Hence, we can say that the length of h in the given composite figure will be 4, i.e. option B.

To know more about composite figure click here

https://brainly.com/question/27234680

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The angle at B is 1/2 the angle at O

Angle B = 54

B +C = 54 + 29 = 83

Angle A + B + C = O

A + 54 + 29 = 108

A = 108 - 83

A = 25

X = 25

Answer:The equation of the line that has a slope of -1/2 and a y-intercept of -2 is: y=-1/2x-2. All you really have to do here is replace m with -1/2, which is the slope you gave, and replace b with -2, the y-intercept you gave, in the equation y=mx+b. 

If this helped, please mark me brainliest, thank you and if you need more help, feel free to message me .

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

edge

Answer:

17.1

Step-by-step explanation:

The standard deviation of the miles Henry hiked is 17.1

The standard deviation of the miles henry biked to the nearest tenth will be 17.08.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

The standard deviation is given as,

[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]

Henry recorded the number of miles he biked each day for a week. The data is given below.

25, 40, 35, 25, 40, 60, 75

Then the mean of the data is given as,

μ = (25 + 40 + 35 + 25 + 40 + 60 + 75) / 7

μ = 300/7

μ = 42.857

Then the standard deviation is given as,

[tex]\sigma = \sqrt{\dfrac{(25 - 42.857)^2 + (40- 42.857)^2 + ......+(75- 42.857)^2}{7}}[/tex]

Simplify the equation, then we have

σ = √(2042.857 / 7)

σ = √291.837

σ = 17.08

More about the standard deviation link is given below.

https://brainly.com/question/12402189

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If we are given the equation y = -27x + 577 and that

x = weeks

y = money left in account

Then you must replace 145 (the money) for y and solve for x (the weeks)

145 = -27x + 577

145 - 577 = -27x + 577 - 577

-432 = -27x

-432/-27 = -27x/-27

16 = x

This means that after 16 weeks Alma will have $145 left in her account

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

b

Step-by-step explanation:

Answer:

2 real solutions

Step-by-step explanation:

To determine the nature of the solutions use the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real solutions

• If b² - 4ac = 0 the 2 real and equal solutions

• If b² - 4ac < 0 then no real solutions

Given

x² + 9x + 20 = 0 ← in standard form

with a = 1, b = 9, c = 20, then

b² - 4ac

= 9² - (4 × 1 × 20 ) = 81 - 80 = 1

Since b² - 4ac > 0 then there are 2 real solutions

Given line: y =3x - 7

Slope-intercept form is y = mx + b where m is slope and b is the y intercept

To find m you must take the slope of the line given, which would be 3, and take its opposite reciprocal (switch its sign to negative/positive if it was originally positive/negative and flip the numerator and denominator)

the opposite of 3 is -3 and the reciprocal of -3 is [tex]\frac{-1}{3}[/tex]

This means that the slope of a line perpendicular to y = 3x - 7 is [tex]\frac{-1}{3}[/tex]

This is the current formula you found:

[tex]y=\frac{-1}{3} x + b[/tex]

To find the y-intercept (b) in the point that this line goes through (2, -1) into the x and y of the equation and solve for b

-1 = [tex]\frac{-1}{3}[/tex](2) + b

-1 = [tex]\frac{-2}{3}[/tex] + b

[tex]\frac{-1}{3}[/tex] = b

That means that the equation perpendicular to y = 3x - 7 is...

y = [tex]\frac{-1}{3} x - \frac{1}{3}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

y =3x - 7

Step-by-step explanation:

Answer:

x=102

Step-by-step explanation:

[tex]\frac{1}{5}[/tex](x-2)=20 (multiply both sides by 5)

x-2=100 (move the -2 to the right)

x=100+2 (add)

x=102

hope this helps :)

Step-by-step explanation:

1/5(x-2) =20

multiply both sides by 5

=> (x-2) = 100

make x the subject of the formula...

x = 100 + 2

x = 102

Answer:

= 10 rs

Step-by-step explanation:

C.P. - 120

S.P. - 130

cp < sp

120 < 130

so , profit = sp - cp

= 130-120

= 10 rs.

hope it helps !

To find the profit for selling eggs, subtract the cost price from the selling price, resulting in a profit of Rs. 10 per dozen.

To calculate the profit or loss from buying and selling eggs, we need to follow a series of steps. First, we find the cost of buying the eggs, which is Rs. 120 per dozen. Then, we find the revenue from selling the eggs, which is Rs. 130 per dozen. The difference between these two amounts will give us the profit or loss made on each dozen of eggs sold.

The calculation is as follows:

Selling Price (SP) per dozen = Rs. 130

Cost Price (CP) per dozen = Rs. 120

Profit per dozen = SP - CP

Profit per dozen = Rs. 130 - Rs. 120 = Rs. 10

Therefore, for each dozen of eggs sold, there's a profit of Rs. 10.

Answer:

From top to bottom:

3

7

6

12

Step-by-step explanation:

You just simply add the number in the top row and the number in the column together.

2 + 1 = 3

4 + 3 = 7

2 + 4 = 6

6 + 6 = 12

Answer:

The round trip distance in miles from city 1 to city 3 is 15. Therefore the correct option is 1.

Step-by-step explanation:

It is given that the matrix below represents the distance in miles between three cities. A row label represents the city traveled from. A column label represents a city traveled to.

[tex]\begin{bmatrix}0 & 5 & 15\\ 5 & 0 & 35\\ 15 & 35 &0 \end{bmatrix}[/tex]

Here first element of first row represents the distance in miles from city 1 to city 1.

[tex]C_1\Rightarrow C_1=0[/tex]

Second element of first row represents the distance in miles from city 1 to city 2.

[tex]C_1\Rightarrow C_2=5[/tex]

Third element of first row represents the distance in miles from city 1 to city 3.

[tex]C_1\Rightarrow C_3=15[/tex]

The round trip distance in miles from city 1 to city 3 is 15. Therefore the correct option is 1.

Ans.

7/12 , 2/3 , 5/6

Why:

If we give all the fractions the same denominator then the fractions are, 8/12 , 10/12 , 7/12. We then can easily see what is the order. Once ordered correctly, just simplifiy.

Answer:

7/12 , 2/3 , 5/6

Step-by-step explanation:

Firstly, give them a common denominator.

What do 3,6 and 12 all have in common? 12

So what we do to the bottom, we do to the top.

Multiply the 2/3 by 4 (3x4=12) to make 8/12.

Multiply the 5/6 by 2 (2x6=12) to make 10/12

7/12 already has 12 as the denominator.

Now order them.

7/12 , 8/12, 10/12.

Change them back to the original sums.

7/12 , 2/3 , 5/6

Answer:

Step-by-step explanation:

[tex]-\dfrac{1}{2}(2n-4)+6=-9+4(2n+1)\qquad\text{use the distributive property}\\\\\left(-\dfrac{1}{2}\right)(2n)+\left(-\dfrac{1}{2}\right)(-4)+6=-9+(4)(2n)+(4)(1)\\\\-n-2+6=-9+8n+4\qquad\text{combine like terms}\\\\-n+(-2+6)=8n+(-9+4)\\\\-n+4=8n-5\qquad\text{subtract 4 from both sides}\\\\-n=8n-9\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-9n=-9\qquad\text{divide both sides by (-9)}\\\\n=1[/tex]

Answer: 10 bags

Step-by-step explanation:

First we must calculate the field area. Assuming it is a rectangle then its area equals the product of its length times its width

[tex]A =360*160\\\\A = 57600 ft^2[/tex]

You use 8 pounds of fertilizer per 1,000 square feet

So the amount of fertilizer you should use is:

[tex]57,600 ft^2 * \frac{8\ pounds}{1,000\ ft^2} = 460.8\ pounds[/tex]

As the fertilizer comes in bags of 50 pound then you need

[tex]460.8\ pounds * \frac{1\ bag}{50\ pounds} = 9.2\ bags[/tex]

Since you can not buy 9.2 bags then we round up to the next whole number.

Finally you need 10 bags of fertilizer

Answer:

g(4) = 12

Step-by-step explanation:

We need to find the value the function g(x) when x = 4, that is;

g(4)

In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)

In the second definition, g(x) is given as;

Q(x) = 0.5x + 10

plug in x = 4 and simplify;

Q(4) = 0.5(4) + 10

Q(4) = 12

Answer:

B y=55

Step-by-step explanation:

The sum of the angles of a triangle a 180 degrees

40 + y + (y+30) = 180

Combine like terms

70 + 2y = 180

Subtract 70 from each side

70-70 +2y = 180-70

2y = 110

Divide by 2

2y/2 = 110/2

y = 55