Determine whether each number is a solution of the
given inequality

8m - 6 < 10
when m = 3

O YES (m = 3 is a solution of the inequality)
o NO (m = 3 is not a solution of the inequality)

Determine Whether Each Number Is A Solution Of Thegiven Inequality8m - 6 &lt; 10when M = 3O YES (m =

Answers

Answer 1

Answer:

NO (m = 3 is not a solution of the inequality)

The line graph is also attached below.

Step-by-step explanation:

Given

[tex]8m-6<10[/tex]

Add 6 to both sides

[tex]8m-6+6<10+6[/tex]

Simplify

[tex]8m<16[/tex]

Divide both sides by 8

[tex]\frac{8m}{8}<\frac{16}{8}[/tex]

Simplify

[tex]m<2[/tex]

Therefore, m = 3 NOT a solution of the inequality because 'm' must be less than 2.

Hence,

NO (m = 3 is not a solution of the inequality)

VERIFICATION:

Given

[tex]8m-6<10[/tex]

substitute m = 3

8(3) - 6 < 10

24 - 6 < 10

18 < 10

FALSE


Related Questions

Find the product 3(41)

Answers

Answer:

123

Step-by-step explanation:

I don’t get this side of algebra need answer

Answers

Answer:

b

Step-by-step explanation:

the difference of 2x and 15 is less than or equal to the sum of 4x and 17​

Answers

Step-by-step explanation:

the difference of 2x and 15 is less than or equal to the

sum of 4x and 17

i.e.,

2x - 15 < 4x + 17

if you want to find ahead then

2x - 15 = 4x + 17

2x - 4x = 17 + 15

- 2x = 32

x = - 32/2

x = - 2

Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4

ft, and the width is
81
1/4

ft. If the fence is
3/4

finished, how much fencing is left to complete?

Answers

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation basketball hoop? (Use 3.14 for .)
A.
56.52 in
B.
254.34 in
C.
113.04 in
D.
1,017.36 in

Answers

Answer:

c

Step-by-step explanation:

A kukura puzzle on my math homework plz help

Answers

is there a picture?

Answer:

i have no clue ngl but online theres websites that will solve them for you

Step-by-step explanation:

if you want a link lmk lol

4) Find the measure of the third angle.*
10 points
B
10 mm
540
5.9 mm
?
A
8.1 mm
60
35
36

Answers

Answer:

36

Step-by-step explanation:

angle A + angle B + angle C= 180°

180=90+54+angle A

angle A = 36

Answer:

b??? I think I'm so sorry if this is wrong I tried

2 + 2 = ______________________________________________

Answers

Answer:4

Step-by-step

Multiply. Write your answer in simplest form 1/3 x 1/6

Answers

Answer:

1/18

Step-by-step explanation:

1 x 1 = 1

3 x 6 = 18

1/18

Name the solution........

Answers

Answer:

No solution

Step-by-step explanation:

here you go mate

step 1

3x+y=-3,3x+y=3  equation/solution

step 2

3x+y=-3  add -3x

y=-3x-3

step 3

3x+y=3  substitute and simplify

0=6

answer

no solution

does someone know how to do this​

Answers

Answer:

us

Step-by-step explanation:

(B)

bbbbbbbbbbbbbbbbbbbbbbbbb

how do you graph 24x−6y=18

Answers

Answer:

You will graph a function with the equation being y = 4x - 3, to plot this function read step by step explanation.

Step-by-step explanation:

First we have to find the equation of the line so we do....

24x - 6y = 18

24x = 18 + 6y

6y = 24x - 18

y = 4x - 3

Now that we know the equation we just have to find two point by using this equation and connect them between each other in order to graph the function represented by this equation. For example

For x = 0

y = 4x - 3

y = -3

So we know that there is a point (0, - 3)

For x = 1

y = 4x - 3

y = 4 - 3

y = 1

So we know that there is a a point  (1, 1)

Connect the two point and you will get the function graph

Combining Like Terms
1. 10Z-4B+3Z+16B-Z

2. -5M-3P+5P+12P

3. 12P-4M+8P-3M-2P

4. 10B-5M-4B+8B-4M

5. 4Z+3Z-6Z+B

6. 7B+3X-8B+6X

(By the way Those letters without a number by it, is 1. So EX: 4Z+5+Z is 5Z+5 ) ​

Answers

Step-by-step explanation:

1. 10Z–4B+3Z+16B–Z = 10Z+3Z–Z+16B–4B

= 12Z+12B = 12(Z+B)

2. –5M–3P+5P+12P = 12P+5P–3P–5M = 14P–5M

3. 12P–4M+8P–3M–2P = 12P+8P–2P–4M–3M

= 18P–7M

4. 10B–5M–4B+8B–4M = 10B+8B–4B–5M–4M

= 14B–9M

5. 4Z+3Z–6Z+B = Z+B

6. 7B+3X–8B+6X = 6X+3X+7B–8B = 9X–B

9. Stephanie had some candy to give to her four children. She first
took twelve pieces for herself and then evenly divided the rest among
her children. Each child received six pieces. With how many pieces did
she start?

Answers

Answer:

36

Step-by-step explanation:

Create an equation : 12 for how many pieces Stephanie took, 4 for how many children she has and 6 for how many pieces each child got:

12+ (6*4) = x

Solve:

12+24 = 36

Answer: 36 pieces

Step-by-step explanation:

We know she took 12 pieces and her four children each received 6 pieces.

12 + 4 (6) = p

12 + 24 = 36

p = 36

She started with 36 pieces.

Josh is 6 years older than 4 times Kim's age. the sum of their ages is less than 31.
what is the oldest Kim could be? ​

Answers

Answer:

4

Step-by-step explanation:

31 - 6 = 25

25/4 = 5

because its LESS than that, it has to be lower than 5, therefore its 4.

Kim should be 12 years old.

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Josh is 6 years older than 4 times Kim's age and the sum of their ages is less than 31.

From the information, let's consider Josh's age be J and that age Kim's be K

As given,

J = 6 + K ..............(i)

And,

J+K < 31

Substituting in eq(i)

6+K+K < 31

2K < 25

K < 25/2

K < 12.5

Since, Kim's age should be less than 12.5

Hence, Kim's age is 12 years.

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ2

If you invent something, you have ____

A commenced something

B devise something

C originated something

D discover something

Don’t answer if u don’t know

Answers

Answer:

here are the definitions of each..

Step-by-step explanation:

Commence: begin; start

Devise: plan or invent (a complex procedure, system, or mechanism) by careful thought.

Originated: create or initiate (something).

Discover:find (something or someone) unexpectedly or in the course of a search.

so it cant be A of D so it would have to be B of C but i think the best answer is C

Answer:

If you invent something, you have ____

the answer is

C)  originated something

He highest priced diamond ever sold at auction weighed 69.42 carats and sold for $1,050,000. A carat is equal to 0.2 grams. What was the weight of this diamond in grams?

Answers

Answer:

13.884 grams

Step-by-step explanation:

From the question:

1 carat = 0.2 grams

The highest priced diamond = 69.42 carats.

Hence:

1 carat = 0.2 grams

69.42 carats = x grams

x grams = 69.42 × 0.2 grams

x grams = 13.884 grams

Hence, the weight of the highest priced diamonds is 13.884 grams.

What is the area of the following parallelogram In square centimeters?
2 om
22 mm
18 mm
O 360 cm 2
O395 cm?
O 395 cm2
O36 cm?

Answers

Answer:

76mm

and then add to 22mm

Step-by-step explanation:

I Think 3.96 but i dont know... :((

(h(1) h(1) = 0 h(n) = h(n-1) - 9 Find an explicit formula for h(n).​

Answers

Answer:

h(n)=0−9(n−1)

Step-by-step explanation:

From the recursive formula, we can tell that the first term of the sequence is 0

and the common difference is -9

This is the explicit formula of the sequence:

h(n)=0−9(n−1)

Note that this solution strategy results in this formula, however, an equally correct solution can be written in other equivalent forms as well.

Hope this helps :)

If y = -5, what is the value of
2y+2
-
4

Answers

Answer:

-12

Step-by-step explanation:

Ok so I'm guessing that's a -4 but if its not, please correct me.

y= -5 is going to be plugged into 2y+2-4

This means that 2(-5)+2-4=?

2(-5) is the equivalent to 2 times -5, which is -10 (you solve multiplication first because order of operations)

Now, 2-4=-2

So using this, let's combine both equations!

-10+-2=?

?=-12

It's a lot of steps but they get easier the more you do them <3

In triangle QRS, the measure of
angle Q is 70º. Angle R is
congruent to angle S. What is the
measure of angle R in degrees?

Answers

Answer:

55 degrees :)

Step-by-step explanation:

all triangles add up to 180 degrees.

we already have 70 degrees and since <S = <R they are the same # of degrees.

subtract 70 from 180 and we get 110.

divide 110 by 2=55

<S 55

<R 55

<Q 70

Answer:

62

Step-by-step explanation:

plz help me with math :)

Answers

Answer:

it would be 3 in the first box and 24 in the other

Step-by-step explanation:

because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years

2(x-1)=10
Please help!!

Answers

Answer:

x=6

Step-by-step explanation:

2(x-1)=10

2x-2=10

2x=12

x=6

Answer:

6

Step-by-step explanation:

Divide both sides by 2.

x-1 = 5

Add 1 to both sides.

x = 6

Judy makes 2/5 of a beaded necklace on Monday she makes 3/10 of the necklace on Tuesday she makes 1/5 of the necklace on Wednesday what fraction of the necklace has Judy made so far

Answers

Answer: 9/10

Step-by-step explanation:

Fraction of beaded necklace made on Monday = 2/5

Fraction of beaded necklace made on Tuesday = 3/10

Fraction of beaded necklace made on Wednesday = 1/5

Total fraction made would be the addition of the Fractions made from Monday to Wednesday. This would be:

= 2/5 + 3/10 + 1/5

The lowest common multiple of the denominator is 10. Therefore we'll make them have a common denominator.

= 2/5 + 3/10 + 1/5

= 4/10 + 3/10 + 2/10

= 9/10

Ross drives 420 miles in 6 hours. If Ross continues to drive at the same rate, how many miles can he drive in 12 hours?

Answers

Answer:

He can drive 840 miles

Answer: 840 miles

I hope this helps.

Which expression is equivalent to 18,090

Answers

Answer:

10,000+8,000+90

Step-by-step explanation:

If you add the numbers above, they equal the number 18,090 which makes them equivalent.

The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2

Answers

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

the girl boy ratio was 9-7 if 63 girls attended how many boys attended?

Answers

Answer:

49      100 percnet

Step-by-step explanation:

9:7

times by 7

The number of boys attended are 49.

What is the definition of the ratio?In mathematics, a ratio is a term used to compare two numbers. It is used to express how large or small an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the 'antecedent,' while the divisor is referred to as the 'consequent.'

For the given question.

Let the number of girls be 'x' = 63.

Let the number of boys be 'y'.

The ratio of girls to boy is 9:7.

Thus,

x/y = 9/7

Boys  = ?

y = 7x/9

Put x = 63

y = 7×63/9

y = 49

Thus, the number of boys attended are 49.

To know more about the ratio, here

https://brainly.com/question/12024093

#SPJ2

please answer its do in 2 hours

Answers

Answer:

both are reciprocals

Step-by-step explanation:

15.

[tex]\frac{5}{8}\cdot \frac{16}{20}\\\\=\frac{5}{8}\cdot\frac{8}{5}=1[/tex]

so they are reciprocals

17.

[tex]\frac{2}{3}\cdot\frac{12}{18}\\\\=\frac{2}{3}\cdot \frac{3}{2}=1[/tex]

so they are reciprocals

y - 7/8 = 3/4

what is y


;-;

Answers

Answer:

y = 13/8

Step-by-step explanation:

Here are the steps I did:

1. y - 7/8 = 3/4 x 2/2

2. y - 7/8 + 7/8 = 6/8 + 7/8

3. y = 13/8

Answer:

Y in (-oo:+oo) Y- (7/8) = 3/4 // - 3/4. Y- (7/8)- (3/4) = 0. Y-7/8-3/4 = 0. Y-13/8 = 0 // + 13/8. Y = 13/8. Y = 13/8.

Step-by-step explanation:

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