Mary is planning to provide online math and french language tutoring sessions. The math session will be 45 minutes long, and the french sessions will be 30 minutes long. She plans to work no more than 30 hours per week and does not want to provide more than 30 french sessions in any one week l. Let m represent the number of math sessions, and f represent the number of french sessions mary will offer during the week. Which system of inequalities represents the constraints of the given situation?

Answers

Answer 1

Answer:

3/4m + 1/2f ≤ 30f ≤ 30

Step-by-step explanation:

Math session = 45 min = 3/4 hrFrench session = 30 min = 1/2 hrNumber of math sessions = m, total math hours = 3/4mNumber of French sessions = f, total French hours = 1/2f

Total hours constraint:

3/4m + 1/2f ≤ 30

Number of session constraint:

f ≤ 30

So the system is:

3/4m + 1/2f ≤ 30f ≤ 30

Answer 2

Answer:

3/4m + 1/2f ≤ 30

f ≤ 30

Step-by-step explanation:


Related Questions

If you fold a paper 3 times how many rectangles do you get???

Answers

Answer:

8 rectangles

Step-by-step explanation:

I just folded a piece of paper three times and I counted 8 rectangles!

Answer:

8

Step-by-step explanation:

1. If a circle has a diameter of 18 inches, what is the radius ? *
A 9 feet
B 9inches
C 36 feet
D 36 inches

Answers

Answer: The radius is 9in

Explanation: 9in is the radius because radius is half of the diameter and 18÷2= 9

Need help ASAP
1 ft.
1.5 ft
5 ft
10 ft
What is the area of this trapezoid?
square feet

Answers

Answer:

75

Step-by-step explanation:

solve the equation 19+n=30
n=

Answers

Answer:

n=11

Step-by-step explanation:

........... ...........

For each 7 mm of coloured fabric Paul uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Answers

9514 1404 393

Answer:

  20 : 7

Step-by-step explanation:

2 cm = 20 mm, so the ratio of white to colored fabric is ...

  20 mm : 7 mm = 20 : 7

2(2x) + 10 = 3x + 13

Please help

Answers

Answer:

x = 3

Step-by-step explanation:

:))

Answer:

−3+2(2)=3

Step-by-step explanation:

2(2)+10=3+13

2(2x)+10−10=3+13−10

help me please.............................................

Answers

Answer: it is C

Step-by-step explanation:

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.

P (both dimes).
Show work!!!!!

Answers

4/40 18/40 10/40 8/40

The probability of choosing two dimes consecutively without replacement is 0.196.

i.e

P (both dimes) = 0.196

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The total number of coins.

= 4 quarters + 18 dimes + 10 nickels + 8 pennies.

= 40

The probability of choosing a dime.

= 18/40

The probability of choosing a dime without replacing the first dime.

= 17/39

The probability of choosing two dimes.

= 18/40 x 17/39

= 306 / 1560

= 0.196

Thus,

P(both dimes) = 0.196

Learn more about probability here:

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Mr. Alvarez is buying every boy on his son's football team a new football. The footballs are sold in packages of 4. There are a total of 15 boys on the football team.

Part A:
In order for every boy to receive a football, how many packages of footballs does Mr. Alvarez need to buy?

Part B:
Using your findings in Part A, if every package costs $20.97, how much will Mr. Alvarez spend on footballs?

Answers

Answer:

Part A: 4

Part B: 83.88

Step-by-step explanation:

4x4= 16 that's enough for the whole team you have 1 extra football

The footballs are sold in 4 so that means you will have to multiply 20.94 by how many packets you have which is 83.88

As an estimation we are told 5 miles is 8 km.
Convert 68 km to miles.

Answers

Answer:

42.5 miles

Step-by-step explanation:

68 : 8 = 8.5 km

8.5 x 5 = 42.5 miles

Apples cost four times as much as oranges per pound. Apples are $2.80 per pound. How much do oranges cost per pound? *
$11.20
$1.20
$0.70
$1.70

Answers

Step-by-step explanation:

Apples cost four times as much as oranges per pound.

If the cost of orange =x

then, cost of apples =4x

But,

the costs of apples =2.80$

So,4x=2.80

[tex]\tt{ x=\dfrac{2.80}{4} }[/tex] ⠀

[tex]\tt{ x=0.70\$ }[/tex] ⠀

so,oranges costs for per pound =0.70$

ABCD is a trapezium AD and BC are parallel

Answers

Part (a)

Answer:  12.1

-----------------------

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

===================================================

Part (b)

Answer:  15.1

-----------------------

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

[tex]C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\[/tex]

[tex]d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\[/tex]

Segment CD is roughly 15.1 cm long.

a) The length of BD to 1 decimal place is 12.1

b) The length of CD to 1 decimal place is 15.1

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

Given ABCD is a trapezium AD and BC are parallel

we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

xsin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1 degree

Let xy coordinate grid. Place point A at the origin (0,0).

Point B is 10 units above this, B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0).

The 6.745085 solving tan(56) = 10/x for x.

Apply the distance formula for the points C and D.

D = √(18 - 6.745085)² + (10 -0)²

D = 15.1

Thus Segment CD is roughly 15.1 cm long.

Learn more about quadrilateral;

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Choose the answer based on the most effecient method as presented in the lesson. If the first step in the solution of the equation -9+x=5x-7 is subtract x, then what should the next step be
A.) subtract 5x
B.) add 7
C.) add 9

Answers

Answer:

Correct answers A) Subtract 5x

Step-by-step explanation:

It takes 30 minutes for a
pump to empty a water tank. A larger pump can
empty the tank in half the time. If both
pumps were
operating, how long would it take to empty the tank?

Answers

Answer:

i believe 15 minutes

Step-by-step explanation:

Helpppppp me plzzzzzzzzzz

Answers

Answer:

21/4 or 5.25

Step-by-step explanation:

Answer:

5 1/4

Step-by-step explanation:

This is the answer because 1 3/4 as an improper fraction is 7/4 and 7/4 x 3/1 = 21/4 and that as a mixed number is 5 1/4

The phrase "This is just the tip of the iceberg" is often used. It refers to the huge masses of ice that float in the oceans and only show a small fraction of their structure on the surface. Most of the icebergs hide below the water level. Based on the diagram below, what is the likely density of icebergs? (The density of salt water in the oceans is 1.03 g / ml.)
PLS HELP I WILL GIVE BRAINLIEST ASAPP THIS IS URGENT

Answers

Answer: 0.90 g/cm3

Step-by-step explanation:

Their ratio is given by the mass density of ice: M/V = Rhoi ~ 0.90 g/cm3 (iceberg ice is more dense than normal ice since it has been compressed by thousands of years of pressure - normal ice is 0.917 g/cm3).

Answer:

Basal melting of floating ice shelves and iceberg calving constitute the two ... of the Southern Ocean free of large icebergs are largely populated by small iceberg  the hidden part, which is the most important in terms of effort and often the most  So this work explores use of NISAR to map surface structures visible on ice

Step-by-step explanation:

The pedigree below shows a sex-linked trait carried on the X chromosome. Shaded individuals are affected by the trait.



Which of the following is true of the female represented by Circle 1?

Answers

Well I may be wrong but because it is not shaded it it should mean that she does not carry the trait or she is a carrier but is not affected by it

Help ASAP!! I will give u BRAINLYEST!! Pleas just help me :(!

In a complete sentence, explain how you would find the radius and
diameter of a circle when the circumference is given.

Answers

Answer:

Find the diameter or radius of a circle using the formulas: C = πd; C = 2πr

Step-by-step explanation:

Answer:

You can discover the diameter and radius when the circumference is given by using: C = πd; C = 2πr

Step-by-step explanation:

I need help asap pls

Answers

9514 1404 393

Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

__

b) ∠CEB = 90° . . . . . the diagonals meet at right angles

__

c) ∠ABE = 44°/2

  ∠ABE = 22°

__

d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°

Please help me! And get marked as brainlist!

Answers

Answer:

Step-by-step explanation:

a) area of the rectangle = length × breadth

Therefore area should be = 12cm × 6cm

Which should give you the answer 72centimetre squared.

b) area of triangle A = 1/2 × b × h

So that is 1/2 × 3 × 6

Which is 18 centimetres × 1/2

Which is 9 centimetres squared

c) area of triangle B = 1/2 × b × h

So 1/2×3×6=18

Now 1/2×18 should give you 9 centimetres squared

d) therefore the area of the parallelogram = 72+9+9=90 centimetres squared

Therefore the area of the parallelogram is 90 centimetres squared

1 3/7 x 2 3/4=?
A)3 9/28
B)2 9/28
C) 2 13/14
D) 3 13/14

Answers

Answer:

the answer is D

Step-by-step explanation:

Exact Form: 55 /14

Decimal Form:  3.92857142

Mixed Number Form: 3  13 /14


An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14
B) $5,200.36
C) $6,010.32
D) $2,340.18

Answers

I would say it’s B it’s makes the most sense overall and the others are just to small or to large to be correct

3. Simplify (x - 2)(4x2 + 2x - 3) =
A. -4x2 – 2x + 3
B. 4x3 - 8x2 – 3x + 6
C. 4x3 - 6x2 - 7x + 6
D. 4x3 + 10x2 + x - 6

Answers

Answer:

4x3−6x2−7x+6

Sorry if I got it wrong.

HELP HELP HELP HELP HELP HELP HELP I GIVE BRIANIST REALLY NEED IT PLS NO WRONG ANSWERS!

Question: The sum of an integer and its opposite is always, sometimes or never equal to zero?

Answers

Answer: Always

An example would be 5 + (-5) = 0

Another example is -7 + 7 = 0

The opposite of any positive number is the negative version of that number.

Adding any positive number to its negative counterpart always leads to 0.

A real world example could be "You start on the ground floor. Then you go up 9 floors, and then go down 9 floors in a building, so ultimately you're at the ground floor again". By the term "ground floor", I mean "floor 0".

In standard form: y-9=2(x-1)

Answers

Answer:

y - 9 = 2(x-1)

y -9 + 9 = 2x - 2 +9

y = 2x + 7

What is the solution to 5x+4=x+4

Answers

Answer:

x=0

Step-by-step explanation:

Step 1: Subtract x from both sides.

5x+4−x=x+4−x

4x+4=4

Step 2: Subtract 4 from both sides.

4x+4−4=4−4

4x=0

Step 3: Divide both sides by 4.

4x/4=0/4

Answer:x=0

Step-by-step explanation:

mr mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.

Answers

Answer:

A(t)=-1.8t-4.5

Step-by-step explanation:

Which of the following functions has a vertex of (-4,3) and a line of symmetry of x= -4?
O A. f(x) = 2(x +4)2 – 3
OB. f (x) = 2(x - 4)2 + 4
O c. f (x) = 2(x +4)2 + 3
OD. f (x) = 2(x - 3)2 + 4
E. f (x) = 2(x – 4)2 + 3

Answers

Answer:d

Step-by-step explanation:

Please help me i don't know what else to put here.........................

Answers

ANSWERRR
1. 15%
2.20%
3.45%

A marching band has 169 members that will March in a square formation. How many band members should be in each row

Answers

Answer: 13
Explanation: To make a square you would need an equal amount of people in a square shape. 13 is the best number as it is the root of 169.
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