Mathematics Middle School

7.06) If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m? m < 9 m > 9 m ≤ 9 m ≥ 9

Answers

Answer 1
greatest value of m is les than 9
means m is less than 9

m<9
Answer 2

Hello,

The correct answer is A) m < 9

Hope this helps!!!! Happy Holidays!!!! (:

Related Questions

The solution generated by the calculator is 5.779E–8. Describe how to interpret the solution.

Answers

the E-8 at the end means the number is multiplied by 10^-8

so 5.779E-8=

5.779 x 10^-8 =

 a negative power means move the decimal place that many places to the left

 so 5.779 x 10^-8 =

0.00000005779

Answer:

the E-8 at the end means the number is multiplied by 10^-8

so 5.779E-8=

5.779 x 10^-8 =

a negative power means move the decimal place that many places to the left

so 5.779 x 10^-8 =

0.00000005779

Step-by-step explanation:

Which set of side lengths forms a right triangle??

Answers

The answer is D. 15, 36, 39. 

If a^2 + b^2 =c^2, then the triangle is a right triangle

2^2 + 3^2 ??=?? 13^2
4 + 9 ??=?? 169
13 ??=?? 169 FALSE

4^2 + 6^2 ??=??10^2
16 + 36 ??=?? 100
52 ??=?? 100  FALSE

9^2 + 12^2 ??=?? 18^2
81 + 144 ??=?? 324
225 ??=?? 324 FALSE

15^2 + 36^2 ??=?? 39^2
225 + 1296 ??=?? 1521
1521 ??=?? 1521 TRUE            15, 36, 39

Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many

Answers

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2  = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm


ANSWER:

1 triangle 

Regroup hundreds as Tens:

8 hundreds 9 tens =

Answers

89 tens because 8 x10 is 80 add the 9
89

The correct answer to the question *interquartile range

Answers

The interquartile range (IQR) is 20

You find this by subtracting the values of Q3 and Q1
Q3 is the right most edge of the box which is 45
Q1 is the left most edge of the box which is 25

IQR = Q3 - Q1 = 45 - 25 = 20

Side Note: The median is not 45. The median is actually 40 since this is the middle line of the box, which is in between 35 and 45
the correct answer is 20

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

Answers

(2,-1)(5,-10)
slope = (-10 - (-1) / (5 - 2) = -9/3 = -3

y = mx + b
slope(m) = -3
use either of ur points....(2,-1)...x = 2 and y = -1
now we sub and find b, the y int
-1 = -3(2) + b
-1 = -6 + b
-1 + 6 = b
5 = b

so ur equation is : y = -3x + 5 <==

What is a proportion?

Answers

 a proportion is an amount of something compared to another, for example: 

1 : 2

or 

3 : 6

hope this helps

What are the solutions to the equation (2x-5)(3x-1)=0?

Answers

(2x-5)(3x-1)=0

2x-5 = 0      or   3x-1= 0
2x = 5               3x = 1
x = 5/2              x = 1/3

Answer: x=5/2; x=1/3


The answer is C. x = [tex]\frac{5}{2}[/tex] 0r x = [tex]\frac{1}{3}[/tex]

Which statement best compares the rate of change of the two functions?

Answers

Final answer:

The rate of change of a function is reflected in the steepness of its graph. A function with a higher rate of change will have a steeper line. The correct comparison statement will depend on the specific slopes of Line A and Line B.

Explanation:

In the context of this question, the rate of change refers to the steepness of the lines or the slopes of the functions represented by the lines. When comparing the rates of change of two functions, you look at how steep or flat each line is.

Let's consider the statements given:

Line A is a decreasing line while line B is an increasing line, with line B being much steeper than line A.Line A is a decreasing line while line B is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line A being much steeper than line B.Line B is a decreasing line while line A is an increasing line, with line B being much steeper than line A.

To determine the best statement, analyze the steepness of the lines. For example, if Line A is decreasing and much steeper than Line B, then it would have a larger (but negative) rate of change.

Remember, the

rate of change

in a function can be understood as the rate at which the y-values are changing for each increment in the x-values. A higher rate of change means the function is increasing or decreasing more quickly.

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the slopes of two lines are 5/6 and 2/p determine the value of p that will make the lines parallel

Answers

if the lines parallel then the slopes equal 
so 5/6 = 2/p 
so p =2.4

Paul has grades of 63 and 81 on his first two tests. What must he score on his third test in order to have an average of at least 70

Answers

To get an average of at least a 70, Paul would have to get at least a 66 on his third test.
(60+81+s)/3≥70  multiply both sides by 3

60+81+s≥210  combine like terms on left side

141+s≥210  subtract 141 from both sides

s≥69

So Paul will have to score 69 or more on his next test in order to have an average of at least 70.

The value of 4 in 3,492 is how many times the value of 4 in 704?

Answers

100, because in 3,492, it is in the hundreds place. In 704, it is in the one's place. 100/1 is 100. So 100 times greater.

1. Solve -2n + 5 > 7.
2. Kia experimental probability of striking out at baseball is 13%. Out of 30 times at bat about how many times will she strike out?

Answers

1. -2n + 5 > 7
Subtract 5 from both sides
-2n > 2
Divide both sides by -2
n < -1 (change inequality sign when dividing by a negative)

2. 13% of 30 =
.13 * 30 = 3.9
Approximately 4 times

draw a diagram of eli's walking pattern

Answers

a. The diagram of the path taken by Eli would look something like this
|
|
|
|
|
|
|
v----------------------------->
                ---------------<

He travelled down 12 feet towards the door, out of the door towards the yard in 32 feet, and back towards the house in 14 ft.

b. He walked a total of 12 + 32 + 14 = 58 ft

c. 
32 - 14 = 18 ft
He is 18 ft from the house (door)

If the divisor is 40 what is the least three digit dividend that would give a reminder four

Answers

The "division algorithm" states that:

Dividend = Divisor × Quotient + Remainder, where R<D

for example:

115 = 7*16+3, tells us that we can fit 7 into 115 at most 16 times,


Back to our problem, the Dividend is a 3 digit number, say abc, the divisor is 40 and the remainder is 4, so we have:

Dividend = Divisor × Quotient + Remainder

abc = 40 × Quotient + 4

we can try some values for the Quotient, but it almost immediately clear that the smallest Quotient that will produce the smallest dividend is 3:

40*2+4=80+4=84 (not 3 digit)
40 * 3 + 4=120+4=124 (the smallest 3 digit dividend)


Answer: 124

How do i solve this equation: 4/5a + 3 = 1/3a - 8

Answers

You have to [tex]subtract [/tex] by [tex] \frac{1}{3}a [/tex] on [tex]EACH[/tex] of  the [tex]sides [/tex] you're [tex]working [/tex] with!

[tex] \frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a [/tex]

Which [tex]gives [/tex] us: [tex] \frac{7}{15}a + 3 = -8 [/tex]

[tex]Now, [/tex] that we got these [tex]steps[/tex] out of the way, let's [tex]subtract [/tex] [tex]3[/tex] from the sides you're working with! 

[tex] \frac{7}{15}a + 3 - 3 \\ = -8 -3 [/tex]

 [tex] \frac{7}{15}(a) = -11[/tex]

We have gotten these  [tex]steps [/tex] out of the way now lets [tex]multiply [/tex] by [tex] \frac{15}{7} [/tex] on your [tex]sides[/tex] because, it is the [tex]reciprocal [/tex] of [tex] \frac{7}{15} [/tex]

So,  [tex] \frac{15}{7}( \frac{7}{15}a ) = \frac{15}{7} (-11)[/tex]

Cancel out: [tex] \frac{15}{7}( \frac{7}{15} )[/tex] because, it equals to:[tex]1[/tex]

[tex] \frac{15}{7}(-11) = \frac{-165}{7} [/tex]

Therefore, your [tex]answer [/tex] is:  [tex] \frac{-165}{7} [/tex] [tex]aka[/tex] [tex] 23\frac{4}{7} [/tex] 

Good luck on your assignment and enjoy your day

~[tex]MeIsKaitlyn:)[/tex]


What is the constant of variation for the quadratic variation?      6y = 4x2

Answers

4/3 would be the answer if that is multiplication sign between 4 and 2.

A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighbour has a vineyard measuring 20 acres and needs his harvest finished in 5 days. Assuming all people work at the same rate, how many people should he hire?

Please show working out.

Answers

Answer: 30 people

In the first vineyard, it needs 25 people working for 9 days to finish 30 acres of vineyard. Using this information you can determine the worker speed. The number of worker and days were given will increase the speed, but the area of the vineyard will decrease it. The calculation would be:

Worker speed= worker number * times given / vineyard area
Worker speed= 25 people * 9 days / 30 acres = 7.5 people days /acres 

Applying the same calculation into the second vineyard would be:
Worker speed= worker number * times given / vineyard area
7.5 people days /acres = worker number * 5 days / 20 acres
Worker number= (7.5 people days /acres ) / 5 days x 20 acres= 30 people

Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99. What is the percent increase in the cost due to the fee?

A.6%
B.7%
C.8%
D.9%

Answers

So you already know the difference between the new number and original number, so all you have to do now is plug it in to this: Percentage Change=Difference/Original Number x100. So 17.99/257=.07x100 which equals 7%. So B is the correct answer.

Answer:

A.6%

B.7%

C.8%

D.9%

0, 7, 26, 63, _ , 215.
What is the missing number in the given sequence?
What is the pattern?

Answers

124 easy! :) (need 20 characters lol)
ur pattern is : a(n) = n^3 - 1
1^3 - 1 = 0
2^3 - 1 = 7
3^3 - 1 = 26
4^3 - 1 = 63
5^3 - 1 = 124 <== ur missing number
6^3 - 1 = 215

Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)


Answers

x+y= 27   (we do not know how much of each) {First Equation}
4x+1y = 45 {Second Equation}

subtract x+y=27 from 4x+1y=45 if doing elimination.
(You could do it by either elimination or substitution to get )-----
x=6 that is the number of vanilla wafers.
and y =21 that is the number of Chocolate wafers. 
If you need further help, please let me know.....



Answer with explanation:Let x denotes the number of packets of vanilla wafers.and y denotes the number of packets of chocolate wafers.

Vanilla wafers cost $4 per packet

and chocolate wafers for $1 per packet

They spent a total of $45 .

This means that the equation that can be formed using this information is:

                   4x+y=45

and they buy a total of 27 packets of wafers.

i.e.   the equation formed with the help of this information is:

              x+y=27

PART A:

The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:

                 4x+y=45-------------------(1)

and             x+y=27----------------(2)

PART B:

We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.

Using equation (2) we have:

   y=27-x-------------------(3)

On putting this value of y in equation (1) we have:

4x+27-x=45

i.e.

4x-x+27=45

i.e.

3x+27=45

i.e.

3x=45-27

i.e.

3x=18

i.e.

x=6

and on putting the value of x in equation (3) we have:

y=27-6

i.e.   y=21

Hence, number of vanilla wafers purchased = 6

and number of chocolates wafers purchased = 21

Select all of the following expressions that are equivalent to ab - 2 = c
a = c/b -2
b = c + 2/a
ab = c + 2
a - c/2 = b
b - 2/c = a
a = c + 2/b

Answers

The only one that's equivalent is The 3rd one. ab=c+2

Answer:

Option C.

Step-by-step explanation:

The given expression is ab - 2 = c

Option a : a = [tex]\frac{c}{b}[/tex] - 2

                 ab = c - 2b

                Not equivalent to the original expression.

Option b : b = c + [tex]\frac{2}{a}[/tex]

                 ab = ac + 2 ⇒  [tex](\frac{ab-2}{a})[/tex] = c

                Not equivalent

Option c  : ab = c + 2

                  ab - 2 = c

               Equivalent to original expression

Option d : a - [tex]\frac{c}{2}[/tex] = b

                 2a - c = 2b

                Not equivalent

Option e : b - [tex]\frac{2}{c}[/tex] = a

                 bc - 2 = ac ⇒ c (b-a) = 2 ⇒ c = [tex]\frac{2}{b-a}[/tex]

                 Not equivalent

Option f : a = c + [tex]\frac{2}{b}[/tex]

                ab = bc + 2

               [tex](\frac{ab-2}{b} )[/tex] = c

              Not equivalent

{ y=x^2-2x-6
y=4x+10

Answers

hello : 
here is a solution 

The triangle above is changed so that the exterior angle shown measures 128 how does this affect angles b and c

Answers

Answer:

the sum of the measures of angle B and angle C will also be 128 degrees meaning that the sum will decrease by 24 degrees.

A social networking site recorded that 80% of the people who became members of the site one month were between 30 and 40 years old. The equation below represents this information, where x represents the total number of people who became members of the site that month: x = 0.8x + 72 How many people who became members of the site that month were between 30 and 40 years of age?

Answers

x = 0.8x + 72

 when x is alone you can say it is 1x

Subtract 0.8x from both sides:

0.2x = 72

x = 72/0.2 

x = 360


Final answer:

To solve the equation x = 0.8x + 72, subtract 0.8x from both sides and then divide by 0.2 to solve for x. The result is 360.

Explanation:

To solve the equation x = 0.8x + 72, we need to isolate the variable x on one side of the equation. First, subtract 0.8x from both sides: x - 0.8x = 0.8x + 72 - 0.8x. Simplifying this gives 0.2x = 72. Then, divide both sides by 0.2 to solve for x: x = 72 ÷ 0.2 = 360. Therefore, 360 people who became members of the site that month were between 30 and 40 years of age.

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Ali needs 4/10 yard of red ribbon and 5/10 yard of blue ribbon to make a tail for her kite. how much ribbon does Ali need in all?

Answers

The answer is 9/10 . So 9 yards of ribbon
4/10 + 5/10 = 9/10. After "kite" the "how" is supposed to be capitalized.

Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side  c = 34
A. 51
B. 36
C. 72
D. 17

Answers

A) 51, assuming this is a *right* triangle:

38^2+34^2 = 50.99^2, rounding 51!!

The length of the missing side = side B = 17 (D) or 51(A)

Further explanation

Triangles are flat fields bounded by 3 intersecting sides and 3 angles

This side can be the same length or different.

If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle

There is a hypotenuse in this triangle which is the sum of the two sides

[tex]\large{\boxed{\bold{C^2=A^2+B^2}}[/tex]

where c = hypotenuse

a and b = side/leg

This formula is known as the Pythagorean theorem which states that:

the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.

or

the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse

While the angle formulas used are

sin a = opposite / hypotenuse cos a = adjacent / hypotenuse tan a = opposite / adjacent

From the problem it is known that side A = 38 ,side b = b, side c = 34

There are 2 possible solutions to this problem because the image does not exist:

1. side A as the hypotenuse side (the longest side) 2. side B as hypotenuse side

Possible Solution no 1

A² = C²+B²(A=hypetenuse)

B² = A²-C²

B² = 38² - 34²

B² = 288

B = √288

B = 16.97, round to the nearest tenth ⇒ 17 (answer D)

Possible Solution no 2

B² = A²+C²(B=hypotenuse)

B² = 38² + 34²

B² = 2600

B = √2600

B = 50.99, round to the nearest tenth ⇒ 51 (answer A)

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Keywords: Pythagoras' theorem, the trigonometric, hypotenuse

Write y less than 21

Answers

I'm assuming you want us to translate the phrase into a mathematical inequality. 

"y less than..." means the y variable is less than something. "... 12" Which is 12.

In mathematics we use the < symbol to indicate "less than"

So, y < 12 is the answer.

Answer:

21-y

Step-by-step explanation:

In mathematics the signs used for more than is + and for less than is -.

The question is asking us to write y less than 21 in mathematical statement form.

y less than 21 means 21-y,

Hence the mathematical statement for y less than 21 is 21-y.

ONLY THE CORRECT ANSWERS PLEASE!!!!

Which term best represents the intersection of two pages of an open book?

A. line

B. angle

C. plane

D. point

Answers

the answer to your question is A ! I HOPE THIS HELPS 

One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?

F. 9 in
G. 10 in
H. 11 in
J. 15 in
K. 17 in

Answers

In a triangle the sum of two sides is always greater than the third side.

If one side = 8 in and other two sides are equal to a positive whole number, then the smallest possible sum of the other two sides = 9 in ⇒
Smallest possible perimeter = 8 + 9 = 17 in
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