solve and graph the following inequalities

a. x + 3 <7 b. 1 > - 8 + x c. x + 81 < 160

Answer:

7/20

Step-by-step explanation:

9/40, 9 divided by 40 is 0.225. 1/8, 1 divided by 8 is 0.125. Add 0.225 and 0.125 you get 0.35. 35% (0.35) of 100 to a fraction is 7/20. 7 divided by 2 is 3.5 or 0.35, 20 divided by 2 is 10 or 1. So yeah. Hope This Helps :)

Answer:

196 ounces

Step-by-step explanation:

1 pound = 16 ounces

16 x 7 = 112

112 + 84 = 196 ounces

Answer:

B) BC'= 8, m A'= 28°

Step-by-step explanation:

When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.

To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':

The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.

Answer:49

Step-by-step explanation:

Answer:

Area: 28.26ft², Circumference: 18.84ft

Step-by-step explanation:

Area of a circle: πr²

Circumference of a circle: πd (or 2πr)

Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:

πr²

π(3)²

π(9)

9π

9(3.14)

28.26ft²

Our circumference is:

πd

π(6)

6π

6(3.14)

18.84 ft

Answer:

The image will be the point (6,5)

Step-by-step explanation:

Here, we want to get the image of the point (-5,-6) after the reflection

Mathematically if we reflected a point with the pre-image coordinates (x,y) over the line y = -x; its image becomes (-y, -x)

So, (-5,-6) becomes (6,5)

Answer:

2/6

Step-by-step explanation:

Add 3/6 and 1/6, then the leftover is 2/6.

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles  must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

Answer:

2563 (square root)in^2

Step-by-step explanation:

i took the test

Answer:

what?

Step-by-step explanation:

if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment

9514 1404 393

Answer:

Step-by-step explanation:

Each yard is 36 inches; each foot is 12 inches.

Answer: 54

Step-by-step explanation:

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of JL is 54 units.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For a rectangle the length of the diagonals is equal, also the diagonals bisect each other in equal parts, therefore, we can say,

HM = JM = MK = ML

Substitute the value of JM and ML,

JM = MK

x + 17 = 5x - 23

x - 5x = -23 - 17

-4x = -40

x = 10

The length of JM can be written as,

JM = x + 17 = 10 + 17 = 27

Since HM = JM = MK = ML, therefore,

JL = (JM + ML) = 27+27 = 54 units

Hence, the length of JL is 54 units.

Learn more about Rectangle:

https://brainly.com/question/15019502

#SPJ2

Answer:

I would say 32 but I'm so sorry if it's wrong

Answer:

[tex]\angle\ ABC=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]

[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]

[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]

[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]

[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]

[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]

Given:

The temperature on the moon can vary from -172 to -126 degrees Celsius.

To find:

The difference between the maximum and minimum temperatures.

Solution:

It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.

Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.

The difference between the maximum and minimum temperatures is:

Difference = Maximum temperature - Minimum temperature

[tex]\text{Difference}=-126-(-172)[/tex]

[tex]\text{Difference}=-126+172[/tex]

[tex]\text{Difference}=46[/tex]

Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.

Answer:

a

Step-by-step explanation:

Answer:

63 is an odd number because the singular number 3 is odd meaning there will be some cards left over.

Maria's reasoning is incorrect. Because, The fact that 63 is an odd number does not necessarily mean that there are only two ways to arrange the cards into equal groups.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

To determine the number of ways that the cards can be arranged into equal groups, we need to consider the factors of 63. In this case, the factors of 63 are 1, 3, 7, 9, 21, and 63. This means that there are six possible ways to arrange the cards into equal groups of any of these factors:

1 group of 63 cards

3 groups of 21 cards

7 groups of 9 cards

9 groups of 7 cards

21 groups of 3 cards

63 groups of 1 card

So, Maria's reasoning is not correct. There are actually six ways to arrange the cards into equal groups, based on the factors of 63.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

y = x is your answer ❤️.....

Answer:

y = 1x

Step-by-step explanation:

(0,0) (-5,-5)

y2 - y1 / x2 - x1

-5 - 0 / -5 - 0

- 5 / -5

1

y = 1x + b

-5 = 1(-5) + b

-5 = -5 + b

0 = b

Answer:

(3,5)

Step-by-step explanation:

x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis

I hope it helped

Answer:

The slope is 15

Step-by-step explanation:

Points on the graph: (2, 30) and (4, 60)

Slope:

m = (y2-y1)/(x2-x1)

m=(60-30)/(4-2)

m=(30)/2

m= 15

Answer:

=147x2+406x−253

Step-by-step explanation:

Answer:

subtract 12 from both sides of the equal sign

-since you are trying to find h

Given:

Jennifer writes the letters M-O-N-T-A-N-A on cards.

To find:

The probability of picking an N.

Solution:

We have,

Total number of cards = 7

Total number of cards with letter N = 2

Now, the probability of picking an N is:

[tex]\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}[/tex]

[tex]\text{Probability}=\dfrac{2}{7}[/tex]

Therefore, the probability of picking an N is [tex]\dfrac{2}{7}[/tex].

Answer:

B) 8.5

Step-by-step explanation:

[tex]8+10+6+4+12+6+8+14=68\\\\\frac{68}{8} =\boxed{8.5}[/tex]

Option B should be the correct answer.

Hope this helps.

Answer:

35, 27, and 30

Step-by-step explanation:

Answer:

The value of x is 6

Step-by-step explanation:

- 3x + 12 = 2x - 18

12 + 18 = 2x + 3x

30 = 5x

5x = 30

x = 30 ÷ 5

x = 6

Thus, The value of x is 6

-TheUnknownScientist