Directions: Follow the instructions for the following inequalities.


1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9


2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)


3. -2 less than or equal to -2 Subtract 6 from both sides, then 8, and then 2


4. -4 < 8 Divide both sides by -4, then by -2


5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

Answer: The answer is D. 25 m

Step-by-step explanation:

Provide brainliest please.

Answer: 2439

I think what you want is, all the four digits numbers which can be formed with the help of the ten digits i.e. {0, 1, 2, 3, ……. … … , 9} which contains 0 at least once in it. Taking this way, to find all the required numbers, we may proceed as follows;

To form four digits numbers means to fill up four vacant places say X, X, X, X with the help of these ten digits. Since nothing has been said about repetition or non-repetition of the digits, so I take it that repetitions of digits are allowed so that all possible numbers come into consideration. Now;

1st vacant place can be filled up by 9 ways (as 0 can not come to this place otherwise number formed will be of three digits). Further,

2nd, 3rd and 4th vacant place each can be filled up by 10 ways (each)(as 0 may also come to these places).

Hence, total no. of numbers of four digits = 9 .10.10.10 = 9000.

Next the total no. of numbers of four digits without zero at any place = 9. 9. 9. 9 = 6561.

Therefore, required no. Of numbers of four digits having at least one zero = 9000 - 6561 = 2439.

Step-by-step explanation:

Hope this helped you. Please brainliest if possible. And tell me if I am wrong. I would really appreciate if I can have some thanks or rating too! :D

Answer:

48

Step-by-step explanation: Area=L*W*H

L=2

W=3

H=8

2*3*8=48

Hope this help!!! Mark me brainliest!!. Have a great spring break!

Answer:this question does not make sense to fix it and ask again

Step-by-step explanation:

Answer: up to 120 pieces

Step-by-step explanation:

Answer:

-3(x + 4)

Step-by-step explanation:

1. First, combine the like terms:

-8(x + 4) + 5(x + 4)

-3(x + 4)

2. Next, distribute:

-3(x + 4)

-3x + 12

3. Finally, use the common factor:

-3x + 12

-3(x + 4)

Answer: -3(x + 4)

Step-by-step explanation:

Answer:

Slope : -1/3

Y- intercept : (0,3)

Make sure you graph on the coordinates (0,3) and (3,2)

(Look at my picture to make sure yours look like mine)

Step-by-step explanation:

Answer:

-6 ; 3

Step-by-step explanation:

Answer:

The factors of 12 are 1, 2, 3, 4, 6, and 12.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The largest number that both 12 and 30 have in common is 6.

So, we can divide both the numerator and denominator by 6:

12/30 ÷ 6/6 = 2/5

Therefore, 12/30 simplified to lowest terms is 2/5.

Answer:

Divide the numerator and denominator by 6:

[tex] \frac{12}{30} = \frac{2}{5} [/tex]

Step-by-step explanation:

12 = 2 × 2 × 3

30 = 2 × 3 × 5

GCD of 12 and 30 = 2 × 3 = 6

Answer:

Step-by-step explanation:

To find the area of a rectangle, you multiply the length by the height.

First, we need to convert the mixed numbers to improper fractions:

Length: 6 3/4 ft = (6 x 4 + 3) / 4 ft = 27 / 4 ft

Height: 2 2/12 ft = (2 x 12 + 2) / 12 ft = 26 / 12 ft = 13 / 6 ft

Now we can calculate the area:

Area = Length x Height

Area = (27 / 4) ft x (13 / 6) ft

Area = 351 / 24 ft^2

Area = 14 11/24 ft^2

Therefore, the area of the rectangle is 14 11/24 square feet.

Answer:47

Step-by-step explanation:

x=180-(102+31)

X=47

Answer: y=-7

Step-by-step explanation:

solve 5x+2y =-4 for x

Add -2y to both sides

divide both sides by five
substitue -2/5y +-4/5 for x in 3X +10 Y equals -64

44/5 + -12/5 equals -64

Simply both sides

add 12/5 to both sides

Divided by 44/5
y= -7

Answer:

Hence The Value of Y=-2 at the intersecting point

Step-by-step explanation:

Given the equation

5x+2y=-4 and 3x+10y=-64

are intersected at X=2 to find the value of y

solution the equation 5x+2y=-4 and 3x+10y=-64

are intersect at x=2 means x=2 satisfied both equations so x=2 put in the

1st equation

5 x 2+2y=-4

2y=-4 -1 0= -14

y= -7

Answer: the second one.

Step-by-step explanation:

it means any number greater than or equal to 11. so it would be a closed circle going towards any number greater than 11 :)

Answer: 2

Step-by-step explanation:

Step-by-step explanation:

A triangle has its interior angle sum as 180°

[tex]{ \tt{ \angle R + \angle S + \angle T = 180 \degree}}[/tex]

[tex]{ \colorbox{silver}{input \: angles}} \\ \\ { \tt{31 \degree + (x + 4) \degree + (3x + 9) \degree = 180 \degree}} \\ \\ { \tt{44 + 4x = 180 \degree}} \\ \\ { \tt{4x = 136}} \\ \\ { \tt{x = 34}} \\ \\ { \colorbox{silver}{for \:R }} \\ \\ { \tt{ m\angle S =x + 4 = 34 + 4}} \\ \\ { \boxed{ \tt{m \angle S = 38 \degree}}} \\ \\ { \colorbox{silver}{for \:T }} \\ \\ { \tt{m \angle T = 3x + 9 = (3 \times 34) + 9}} \\ \\ { \tt{m \angle T = 111 \degree}}[/tex]

Answer: Volume ≈ 56.55

Step-by-step explanation:

56.54867 is the answer, but I rounded it. I hope this helped! :)

Answer:

18π cubic inches

Step-by-step explanation:

First, we need to find the radius of the cone, which is half of the diameter.

radius = diameter/2 = 6/2 = 3 inches

The formula for the volume of a cone is:

V = 1/3 × π × r^2 × h

where r is the radius of the base of the cone, and h is the height of the cone.

Substituting the values we get:

V = 1/3 × π × 3^2 × 6

V = 1/3 × π × 9 × 6

V = π × 18

Answer:

3 times more

Step-by-step explanation:

mangos: m = 108

portugals:  p

oranges:     o = 3p

108 + p + 3p = 540

108 + 4p = 540

4p = 540-108 = 432

p = 432/4 = 108

o = 3p = 3(108) = 324

324/108 = 3  there are 3 times more oranges than portugals

Answer:

1620

Step-by-step explanation:

540 X 3 = 1620

Answer:

ar of triangke is 1 /2 base*height

so

ar = 1/2 * 8.9*14.3

ans = 63.63 sq cm

Answer: 63.63cm

Step-by-step explanation: To find the area for a triangle, the formula is A=L*W divided by 2. So you want to do A=14.3*8.9/2= 63.63500 (63.63).

Have a good day.

think of cordinate planes if that helps

Answer: hope this helps ♡

1.) x = -21

2.) x = 18

3.) x = 3

Step-by-step explanation:

(minus&minus = plus)       (minus&plus = minus)        (plus&minus = minus)

1.) 25 - 3x = 88

25 - 25 - 3x = 88 - 25

-3x = 63

-3x ÷ 3 = 63 ÷ 3

-x = 21 → x = -21

2.) -11 = 7 - x

-11 - 7 = 7 -7 -x

-18 = -x

18 = x → x = 18

3.) 95 = -4 + 33x​

95 + 4 = -4 + 4 + 33x

99 = 33x

99 ÷ 33 = 33x ÷ 33

3 = x → x = 3

[tex] \text{1 ] 25 - 3x = 88 }[/tex]

[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]

[tex] \: [/tex]

_________

[tex] \text{2 ] -11 = 7 - x }[/tex]

[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]

[tex] \: [/tex]

_________

[tex] \text { 3 ] 95 = -4 + 33x }[/tex]

[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Answer:

the square(r)=90 degrees and a triangle = 180 degrees so angle g=55

Step-by-step explanation:

start by adding the all the similar number with teh exponents but do the negatives last then you need to combine like terms and yu should get 56 as your asnwer

We have divided the figure into 3 parts i.e. ; 2 rectangles and 1 triangle...

[tex] \boxed{ \red { \mathfrak{Area\: of\: figure =l \times b + l \times b + \frac{1}{2} \times b \times h}}}[/tex]

We have the dimensions:

[tex] \blue{ \sf{Area\: of\: figure = 8 \times 7 + 6 \times 2 + \frac{1}{2} \times 2 \times 1 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + \frac{1}{ \cancel2} \times \cancel 2 }}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =56 + 12 + 1}}[/tex]

[tex] \blue{ \sf{Area\: of\: figure =69 \: {ft}^{2} }}[/tex]

Hence, Option B is correct!!

Answer:

least value=-8, Q1=-0.5, median=3, Q3=5, greatest value=10

Step-by-step explanation:

To find the least and greatest values, we simply look at the numbers in the data set and see that the least is -8 and the greatest is 10.

To find the first quartile, median, and third quartile, we need to put the data in order from least to greatest:

-8, -5, -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10

There are 14 numbers in the data set, so the median is the average of the 7th and 8th numbers, which is:

(median) = (2+4)/2 = 3

To find the first quartile, we need to find the median of the lower half of the data set. The lower half includes the first 7 numbers:

-8, -5, -1, 0, 0, 1, 2

The median of this lower half is the average of the 3rd and 4th numbers:

(first quartile) = (-1+0)/2 = -0.5

To find the third quartile, we need to find the median of the upper half of the data set. The upper half includes the last 7 numbers:

2, 4, 4, 5, 5, 7, 9, 10

The median of this upper half is the average of the 4th and 5th numbers:

(third quartile) = (5+5)/2 = 5

So the least value is -8, the first quartile is -0.5, the median is 3, the third quartile is 5, and the greatest value is 10.

Answer: Look at the key, count all of the shapes on the top by matching them with the key. Then look at the key again and the answers and find what matches.

Answer: 9.9 yards

Step-by-step explanation: Since we know that the legs of the right triangle both measure 7 yards, we can use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the right triangle.

According to the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the legs. In this case, we have:

c^2 = 7^2 + 7^2 c^2 = 49 + 49 c^2 = 98

To find the length of the hypotenuse, we need to take the square root of both sides of the equation:

c = √98

Using a calculator, we can find that √98 is approximately 9.9. Therefore, the length of the hypotenuse is approximately 9.9 yards.

The answer is C. 9.9 yards.