simplify - 5 1/4 - (- 7 1/2)

Answer:

Q. 11 x=29

Q. 12 x=24

Step-by-step explanation:

Q.11

sum of all sides of triangle = 180°

(2x+20)+(x+10)+(2x+5)=180°

5x+35=180°

5x=180°-35

5x=145°

x=145/5

x=29°

Q.12

sum of all sides of triangle=180°

96+(2x)+(x+12)=180°

3x+108=180°

3x=180-108

3x=72

x=72/3

x=24

Answer:

Answer:

42

Step-by-step explanation:

30/5 + ( 9)(5)−32

= 6 + ( 9)(5)−32

= 6 + 45−32

= 51 − 32

= 51 − 9

= 42

hope I helped!!

Answer:

enneagon

Step-by-step explanation:

Answer:

x = 800 and y = 330

Step-by-step explanation:

Let two numbers be x and y.

Sum of two numbers is 1130.

Their difference is 470.

So,

x+y=1130 ...(1)

x-y = 470 ...(2)

Add equation (1) and (2).

x+y+x-y = 1130+470

2x = 1600

x = 800

Put the value of x in equation (1)

800+y=1130

y = 1130-800

y = 330

So, the smallest number is 330 and the largest number is 800.

Answer:

k = 0.16

Step-by-step explanation:

First, use distributive property on the left side:

[tex]0.2(k+2.4)=3.2k\\0.2k+0.48=3.2k\\0.48 = 3k\\k = 0.16[/tex]

Answer:

k = 0.16

Step-by-step explanation:

Use distributive property, meaning individually multiply 0.2 to each number/variable within the parameters

0.2 × k = 0.2k

0.2 × 2.4 = 0.48

0.2k + 0.48 = 3.2k

You cannot add a number and a variable so instead we should isolate the variable

Subtract 0.2k from both sides

0.48 = 3.2k - 0.2k

0.48 = 3.0k

0.48 = 3k

Divide both sides by 3

0.16 = k

Answer:

1st

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Dilating BC to B'C' by a factor of 1/2 makes each side of the triangle halved. Originally BC is 16, so when it's halved, it becomes 8

We know when triangle are similar and are changed only by a scale factor, the angle will not change. Angle A' = 28 degrees

Answer:

Let the digits 0,1,2,3 and 4 represent the birth of a boy, and let digits 5,6,7,8, and 9 represent the birth of a girl. Use a table of random digits. Choose the first 10 digits in the table and record the number of boy and girl births. Continue to choose batches of 10 digits for a total of 100 times, recording the number of boy and girl births. (possibly B)

Answer:

activity2

1. ( 14.4) adn

2.(0.616) adn

3.( 5-36) adn

Answer:

300 units

Step-by-step explanation:

Answer:

158%

Step-by-step explanation:

19/12 = 1.58

Answer

-9n-3+6p

Step-by-step explanation:

Answer:

-9n - 3 + 6p

Step-by-step explanation:

You have to remember that you can add or subtract only LIKE terms. In other words, you can't add 3n + 5, so separate them.

In this equation: 3n + 5 - 12n - 8 + 6p,

1. 3n - 12n

2. 5 - 8

3. 6p

= -9n - 3 + 6p

Answer:

The solution to the inequality is:

[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]

-5 and -6 are the solution values.

Step-by-step explanation:

Given the inequality

[tex]6\ge \:4x-5[/tex]

Let us solve the inequality

[tex]6\ge \:4x-5[/tex]

switch sides

[tex]4x-5\le \:6[/tex]

Add 5 to both sides

[tex]4x-5+5\le \:6+5[/tex]

Simplify

[tex]4x\le \:11[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}\le \frac{11}{4}[/tex]

Simplify

[tex]x\le \frac{11}{4}[/tex]

Thus, the solution to the inequality is:

[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]

In our case, we are given the values -6, 8, and -5

We have already determined that the solution is x ≤ 2.75.

Since the solution is x ≤ 2.75, so -5 and -6 come under the solution set because -5 and -6 are less than 2.75.

Hence, -5 and -6 are the solution values.

The graph of the solution of the inequality is also attached below.

The solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

6 ≥ 4x − 5

Adding 5 both the side we get,

6 + 5 ≥ 4x − 5 + 5

⇒ 11 ≥ 4x

Dividing both the side by 4 we get,

11/4 ≥ 4x/4

⇒  11/4 ≥ x

or, x ≤ 11/4

this is the required solution of the given inequality.

Thus, the solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.

To learn more about inequality :

https://brainly.com/question/13363104

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Answer:

Step-by-step explanation:

To circumscribe a circle to a given triangle implies constructing a circle outside the triangle, so that it touches the three vertices of the given triangle externally.

The step requires bisecting two sides of the triangle so as to locate the center of the circle. Then with the center and one of the edges, draw a complete circle. The circles should be outside the triangle and passing through its three vertices.

The construction is as shown in the attachment to this answer.

Answer:

$61,671.75

Step-by-step explanation:

There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)

Answer:

The answer is 36m

Step-by-step explanation:

Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.

Answer:

Option 2

Step-by-step explanation:

Go through until you find a true statement:

- The number of observations is 10

Count the number of data points. You should end up with 15, so this option is not correct.

-The median of the data set is 10

To find the median, you know that there are a total of 15 data points, so the median would be the mean of the 7th and 8th (because those are the middle numbers). If you look at the data points, the 7th and 8th points are at 10. The mean of 10 and 10 is just 10,  so that means the median of the set is 10.

This is the correct answer.

If you want, you can also go through the other options and see that none of them work.

Answer:

The person above is correct it would be option two!

Step-by-step explanation:

The explanation makes alot of sence. I took the test to make sure it was correct i gotten a 100~!!! ty!

Answer:

the answer is 1

........

1+0=1

Because anything plus zero equals itself (Example) :

3+0=3, 4+0=4, etc

Therefore

1+0=1

Have a good day!

Step-by-step explanation:

I've used substitution method over here and got the value of X and Y

Answer:

B.  14 ft approx

Step-by-step explanation:

Given data

A teepee  has a conical shape

Diameter= 10ft

radius= 5 ft

Volume = 366ft³

Height = ????

The expression for the volume is

V= 1/3πr^2 h

substitute

366= 1/3*3.142*5^2*h

366= 1/3*78.55*h

366= 26.18h

h= 366/26.18

h=13.98 ft

h= 14 ft approx

Hence the Height is 14 ft approx

Answer:

14 ft

Step-by-step explanation:

a p e x!

According to law of conservation of energy, the statement  which best describes what has happened is that energy has been transformed from one form to another.

According to law of conservation of energy, it is evident that energy  is neither created nor destroyed rather it is restored at the end of a chemical reaction .

Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.

Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Robert Mayer in the year 1812.

Learn more about law of conservation of energy,here:

https://brainly.com/question/29775341

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Answer:

125

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

368 - 243 = 125

Step-by-step explanation:

There are infinitely many ratios for 48:32, so I'll just list a few:

24:16

6:4

3:2

9:6

480:320

240:160

60:40

30:20

90:60

Answer:

x=17

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

find constant of variation ('k'):

y = kx

75 = 60k

k = 75/60 or 5/4

32 = 5/4x

cross-multiply:

5x = 128

x = 25.6

Answer:

17.5 liters

Step-by-step explanation:

hope its the answer your looking for

Answer:

689 / 1000 is the answer

Step-by-step explanation:

zzzzzzzzzzzzz

Answer:

The least common multiple of 8 and 12 is 24

Explanation:

Find and list the multiples each number until the first common multiple is found.

This is the lowest common multiple .

Multiples of 8

8, 16, 24, 32,40

Multiples of 12

12,24, 36,48

Therefore,

LCM of 8 and 12 is 24

Answer: The answer is 24

Step-by-step explanation: One easy way to find least common multiples is to take the large number and multiply it by increasing numbers (1,2,3,etc.) until a number is found that is also divisible by the smaller number.

In this case, we can multiple 12 by increasing numbers until we find a number that is also divisible by 8.

12

⋅

1

=

12

This is not divisible by 8.

12

⋅

2

=

24

This is divisible by 8.

8

⋅

3

=

24

Therefore, the least common multiple is 24.