The teacher does not have to spend all $36. Write an inequality relating 36 and 9 (7 - x) representing this situation. (Copy/paste as needed: ≤ ﹤ ≥ ﹥)

Answers

Answer 1

Answer:

9(7-x) < 36

Step-by-step explanation:

From the question, we are to relate the amount the teacher spent to the expression 9(7-x).

Since the teacher does not have to spend all the $36, this means that he spent amount less than $36 but not equal to $36. Hence the best inequality sign that relates both expression is a less than sign (<) as shown;

9(7-x) < 36

hence the required inequality is 9(7-x) < 36


Related Questions

Plz help me!! Plz!!!!

Answers

Answer: x=15

Step-by-step explanation: Side splitter theorem means you can treat the triangle sides as a ratio. So if 25/15 = 1.666666667 then 1.666666667*9 = 15

In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)
Is there a way to factor the sum of perfect squares? ex: x^2 + 25 = (?)(?)

Answers

9514 1404 393

Answer:

  yes, if you allow complex numbers; no, if you don't

Step-by-step explanation:

The sum of squares can be considered to be the difference of squares, where one of the squares is negative. The negative square is the square of an imaginary number, so the factoring involves imaginary numbers.

  x^2 +25 = x^2 - (-25) = x^2 -(5i)^2

  = (x -5i)(x +5i) . . . . factoring in the complex numbers

There is no factoring in real numbers.

Answer:

dd4l

Step-by-step explanation:

yup

Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are minivans, and 20% are SUVs. He designs a simulation. Let 0,1; and 2 represent sedans. Let 3 represent minivans. Let 4 and 5 represent SUVs. Let 6, 7, 8, and 9 represent other cars. The table shows the simulation results. 0435 2512 0290 2452 6392 5306 7507 7268 8818 8028 3481 9296 2670 6810 1773 3557 4172 7737 9872 5423 What is the probability that at least one of the next four cars that enter the lot is an SUV? A. 60% B. 45% C. 55% D. 50%​

Answers

Answer:

B) 45%

Step-by-step explanation:

There are 20 trials in total.

It says that the numbers 4 and 5 represent SUVs. All we have to do is look and count how many trials of the 20 that have the number 4 or 5.

That would be 9 trials that have the number 4 or 5 within it. Then you divide them. 9/20 = 0.45 or 45%

Answer:

45%

Step-by-step explanation:

it was the right answer

40 of what number is 50.8

Answers

Answer:

if you are trying to say 40 percent, its 127

Answer:

1.27

Step-by-step explanation:

50.8/40=1.27

40 *1.27=50.8 if that is not your question just tell me

What irrational number is between 4.12 and 4.13

A.)sqrt{19}
B.)sqrt{23}

Answers

sort{17} which equals 4.123

convert 11/8 and 5/9 to decimals

Answers

11/8= 1.375
5/9= 0.555556

2. Two teachers, Mr. Donahue and Mrs. Ortiz, decide to buy mechanical pencils and rulers for their classrooms. Mrs. Ortiz buys 50 mechanical pencils and 30 rulers for $55. Mr. Donahue buys 30 of each for $45. What was the price per mechanical pencil? What was the price per ruler?

a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

______ = ______ x + ______ y

b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

______ = ______ x + ______ y

c. Circle the best method for solving the system:

Graphing Substitution Elimination

d. Solve the system using the method you chose.




A mechanical pencil costs ______ and a ruler costs _______.

e. Check your answer:

Answers

Answer:

Step-by-step explanation:

a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

__$55__ = __50__ x + __30_ y

b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

__$45__ = __30__ x + __30__ y

c. Circle the best method for solving the system:

Elimination

d. Solve the system using the method you chose.

  55 =50x+30y

  -1(45) =(30x+30y)-1     =     -45=-30x-30y

    55 =50x+30y

+  -45=-30x-30y

   10=20x

(1/20)10=20x(1/20)

0.50=x

3(55) =(50x+30y )3      =     165=150x+90y

-5(45) =(30x+30y)-5     =   -225=-150x-150y

     165 =150x+90y

+  -225=-150x-150y

           -60=-60y

(1/-60)-60=-60y(1/-60)

             1=y

A mechanical pencil costs _$0.50__ and a ruler costs __$1.00__.

e. Check your answer:

$55=50x+30y                                $45=30x+30y

$55=50(0.5)+30(1)                         $45=30(0.5)+30(1)

$55=25+30                                    $45=15+30

$55=$55                                         $45=$45

A mechanical pencil costs $0.50  and a ruler costs $1.00.

What is meant by cost?In calculus, a cost function is a mathematical formula used to determine how much it will cost to produce a certain number of units. The total cost formula is used to calculate the total cost by combining the variable and fixed costs of providing goods. Total cost = (average fixed cost x average variable cost) x number of units produced. A unit price is defined as a price expressed as a quantity of one, such as $25 per ticket or $0.89 per can. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio.

The current answer as follows:

a. Fill in the blanks to calculate Mrs. Ortiz's purchase price. Let x denote the price of a pencil and y the price of a ruler.

$55 = 50x + 30y

b.Fill in the blanks with the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.

$45 = 30x + 30y

c. Circle the best method for solving the system:

Elimination

d. Solve the system using the method you chose.

55 = 50x + 30y - 1(45) = (30x + 30y) - 1 = -45 = -30x - 30y

  55 = 50x + 30y + -45 = -30x - 30y

 10 = 20x

(1/20)10 = 20x (1/20)

0.50 = x

3(55) = (50x + 30y )3 = 165 = 150x + 90y

-5 (45) = (30x + 30y) - 5  = -225 = -150x - 150y

   165 = 150x + 90y + -225 = -150x - 150y

         -60 = -60y

(1/-60) -60 = -60y (1/-60)

           1 = y

A mechanical pencil costs $0.50  and a ruler costs $1.00.

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Look at the photo pick A B C D either one explanation not needed thank you! <3

Answers

Answer:

A

Step-by-step explanation:

-5 i s greater than -2.

Nope that aint true

-2 is greater than -5 is correct since -2 is closer to the postivie numbers and zero.

-5 is farther so it is less than -2.

It’s a because -5 is not greater than -2 as it is closer from zero meaning it it’s value decreases as it goes on

Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?

Answers

Answer:

$207.20

I hope this can help in any way!

Solve for x. 4x^2 – 2x + 3 = 0

Answers

Answer:

[tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define Equation

4x² - 2x + 3 = 0

Step 2: Identify Variables

a = 4

b = -2

c = 3

Step 3: Solve for x

Substitute [Quad Formula]:                    [tex]x=\frac{2\pm\sqrt{(-2)^2-4(4)(3)} }{2(4)}[/tex]Evaluate Exponents:                               [tex]x=\frac{2\pm\sqrt{4-4(4)(3)} }{2(4)}[/tex]Evaluate Multiplication:                          [tex]x=\frac{2\pm\sqrt{4-48} }{8}[/tex]Evaluate Subtraction:                             [tex]x=\frac{2\pm\sqrt{-44} }{8}[/tex]Factor Radical:                                        [tex]x=\frac{2\pm\sqrt{-1} \sqrt{44} }{8}[/tex]Simplify Radicals:                                   [tex]x=\frac{2\pm 2i\sqrt{11} }{8}[/tex]Factor Numerator GCF:                         [tex]x=\frac{2(1\pm i\sqrt{11}) }{8}[/tex]Simplify:                                                  [tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]


I need help with this problem

Answers

Answer:

y=1(3)^x

Step-by-step explanation:

First take the y and do 3/1

Then take x and do 1-0

Then do 3(sqrt)1 which is just 3

3 is ur b value

Then it is y=1(3)^x

David made $216 for 12 hours of work. At the same rate, how many hours would he have to work to make $306?

Answers

Answer:

17 hours

Step-by-step explanation:

216/12 = $18 per hour

306/18 = 17 hours.

Hope this helps! :)

Answer:

Is 17 hours the correct

what kind of angles are 2 and 6​

Answers

Answer:

A. corresponding

Step-by-step explanation:

Corresponding angles are angles that lie on top of two parallel lines.

Alternate interior angles are angles that lie on two sides of parallel lines and are mostly located with one angle up and one angle down.

Same side interior angles are angles within two parallel lines.

Answer:

corresponding angles

Step-by-step explanation:

∠ 2 and ∠ 6 are corresponding angles because each is in the same position ( upper right- hand corner ) in its group of 4 angles.

4. Mary has a pet ferret. She bought a bag of ferret food that contains 12 cups of food. The maker of the ferret food suggests feeding a ferret only a cup of food a day. If Mary follows the suggestion, for how many days can she feed her ferret from the bag of food before she needs to open a new bag?​

Answers

Answer:

12 days.

Step-by-step explanation:

She would have enough food to feed her pet ferret for 12 days, at a cup a day, before she would need to buy more.

Hope this helps!, If so please mark the brainliest and peace and love!!!!

helpppp!!! look at the ss

Answers

Answer:

Step-by-step explanation:

they are asking where is the center of the shape

it's at 1/3 of the way in both direction so V looks about right

use the matrix tool to solve the system of equations choose the correct ordered pair4x-y=10 and 8x+5y=34

Answers

Answer:

  [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]

Solution of the given system of equations

 x = 3 and  y= 2

                     

Step-by-step explanation:

Step(i):-

Given system of equations are

                                      4x - y =  10 ...(i)

                                     8x +5y = 34...(ii)

The matrix form

                          A X = B

[tex]\left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]

Step(ii):-

By using matrix inversion method

[tex]A^{-1} = \frac{1}{|A|} adj A[/tex]

|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28

Given matrix

            [tex]A = \left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right][/tex]

[tex]AdjA = \left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]

[tex]A djA = \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]

Inverse of the matrix

                           [tex]A^{-1} = \frac{1}{|A|} adj A[/tex]

                          [tex]A^{-1} = \frac{1}{|A|} A djA =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]

Step(iii):-

The solution of the given system of equations by using matrix inversion method

                     X = A⁻¹ B

                    [tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right]\left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]

                   [tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5X10+1X34\\-8X10+4X34\\\end{array}\right][/tex]

                 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\frac{1}{28} \left[\begin{array}{ccc}84\\56\\\end{array}\right][/tex]

                 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]

Final answer:-

Solution of the given system   x = 3 and  y= 2

                     

how many 3/5s are in 4/3s

Answers

Answer:

how does this question make any sense

4/3s is 1 and 1/3

figure out how many 3/5ths go into that

Step-by-step explanation:

Answer:

This dont make sense

Step-by-step explanation:

Solve the following system equation graphically on the set of axes below y= x+4 and y= -3/2 - 1 PLEASE HELP MEEE

Answers

Answer:

y=4

y= -1

Step-by-step explanation:

please help with this question

Answers

Answer:

alternate interoir

Step-by-step explanation:

Answer:

alternate interior

Step-by-step explanation:

don't really know how to explains this one, it's just the definition of alternate interior angles: "angles on opposite sides of the transversal, in between two lines"

Can someone pls help me solve this

Answers

Answer:

I'm sorry if I'm not helpful but I think it is 70 degrees

Step-by-step explanation:

What is sin 28°?
I need help ASAP

Answers

Answer:

sin 28° = 8/17

Step-by-step explanation:

sin A = opp/hyp

sin 28° = 8/17

The value of sin 28° is: sin 28° = 8/17

So, Option B is correct.

Here, given that, a right angle triangle has hypotenuse = 17 units,

height = 8 units,

base = 15 units.

now, we have, the angle between hypotenuse and base is: sin 28°.

from trigonometry we know that,

sin A = opp/hyp

so, here, we get, sin 28° = height/hypotenuse

putting the values, we have,

sin 28° = 8/17

Hence, The value of sin 28° is: sin 28° = 8/17

So, Option B is correct.

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In a long division exercise the divisor is 8x5−4x. What is the degree of the remainder for which the division process can be​ stopped?

Answers

Answer:

The degree of the remainder should be 4 for the division process to be stopped

Step-by-step explanation:

From the question, we have the degree of the divisor as 5

So, for the division process to be stopped, the degree of the remainder should be one less than the degree of the divisor

Once the degree of the remainder is less than the degree of the divisor, we have no option that to stop and not proceed further with the division

So in the case of the particular question, the degree of the remainder should be of degree 4

What is x + 2/3 = 5/6

Answers

The final statement is: The value of x is 1/6

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:   The expression x+2/3=5/6

substracting -2/3 both sides   x=5/6-2/3

                                                      x=1/6

Hence, The value of x is equal to 1/6

Learn more about linear equations here:

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Answer:

x = 1/6

Step-by-step explanation:

Given equation,

→ x + (2/3) = 5/6

Now the value of x will be,

→ x + (2/3) = 5/6

→ x = (5/6) - (2/3)

→ x = (5/6) - (4/6)

→ x = (5 - 4)/6

→ [ x = 1/6 ]

Hence, the value of x is 1/6.

help with the question above I have NO IDEA

Answers

Answer:

I would say not a function but im not 100% sure, i would go with not a function. Tell me if im wrong.

Step-by-step explanation:

7.2x10^-3 I need help on this.

Answers

Answer:

0.0072

Step-by-step explanation:

The answer is 0.0072. I really hope this helps!

If it does help can you be kind and mark me the brainliest please? Peace and Love

In 5 hours, Jamie walked 14 miles. She is trying to figure out how many hours it would take to walk 25 miles. She set up the proportion
[tex] \frac{14}{5} = \frac{x}{25} [/tex]
Answer the following questions.

1. What error did Jamie make in setting up her proportion?
2. What is the proportion she should have used? 3. How many hours will it take Jamie to walk 25 miles?​

Answers

Answer:1) 14/5 isnt right, it would be more miles in less time. 2) [tex]\frac{5}{14}[/tex] Is the correct way. 3) 9 hours, 20 mins

Step-by-step explanation:

The proportion Jamie should set up is 14/5=25/x  and 9 hours will it take Jamie to walk 25 miles

What is Ratio and Proportion?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that In 5 hours, Jamie walked 14 miles.

Jamie is trying to figure out how many hours it would take to walk 25 miles.

She set up the proportion 14/5=x/25.

The error Jamie make in setting up her proportion is in LHS taken as miles per hours but in RHS the set up is hours by miles.

In both sides same set up should be maintained.

14/5=25/x is the proportion she should have used

14/5=25/x

Apply cross multiplication

14x=25(5)

14x=125

x=125/14

x=8.92=9

Hence, the proportion Jamie should set up is 14/5=25/x  and 9 hours will it take Jamie to walk 25 miles

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There are 40 people at a party. If 8 boys leave and 2 girls come, then the number of boys will be equal to the number of girls. Find the initial number of boys and girls.

Answers

Answer:

25 boys, 15 girls

Step-by-step explanation:

You can setup 2 equations where b is the number of boys and g is the number of girls to get [tex]b+g=40[/tex] and [tex]b-8=g+2[/tex]. Simplifying the second equation gets you [tex]b-10=g[/tex] insert [tex]b-10[/tex] for g in the first equation to get [tex]2b-10=40[/tex]. Simplify this equation to get [tex]b=25[/tex]. To find the number of girls, substitute 25 for b in the first equation to get [tex]g=15[/tex]

what is the value of 8x -- 4, if x= 5​

Answers

Answer:

36

Step-by-step explanation:

since x=5, you multiply 8x5 to get 40. then, subtract four.

The goal of a good budget plan is to save at least

a) 5% of your monthly earnings

b) 10% of your monthly earnings

c) 20% of your monthly earnings

Answers

Answer:

10% of your monthly earning

-6x+yx=8 solve for x

Answers

Answer:

x= 8/  6 + y

Step-by-step explanation:

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