Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?

Answer:

y=-2x+7

Step-by-step explanation:

You just subtract 2x from both sides to get y alone

Answer:

2x + y = 7

y = 7 -2x

Step-by-step explanation:

Answer:

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

Answer:

Answer in explanation

Step-by-step explanation:

Probability of Magic elf =

[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]

Answer:

6.66%

Step-by-step explanation:

There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.

Answer:

The answer is 7440

Answer:

$7740

Step-by-step explanation:

60,000×12,4%=$7740

The driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

Stopping distance can be defined as a measure of the distance between the time when a driver applies a break to stop a vehicle that is in motion and the time when the vehicle completely comes to a stop.

In this scenario, I would say that the driver is responsible for this accident because if she wasn't moving at a high speed, her stopping distance would be very minimal. Thus, she would be able to bring her vehicle to a stop without colliding with or crashing into the fence, immediately she sighted the cows.

Also, I can deduce that the driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

Read more on drivers here: https://brainly.com/question/26084890

Answer:

Step-by-step explanation:

So this is a quadratic sequence.

3, 12, 22, 33, 45, 58, 72

 9   10   11    12   13   14  

9, 10, 11, 12, 13, 14

 1    1    1    1    1

This means the next one must be 15 so

3, 12, 22, 33, 45, 58, 72, x

 9   10   11   12   13   14   15

x= 72+15

x= 87

Answer:

To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?

Step-by-step explanation:

ans :- 7.5 ml

Answer:

105 degrees

Step-by-step explanation:

Since there mus tbe 180 degrees in a triangle 180-80=100 and then -25 is equal to 75. since the line is 180 degrees, 180-75 = 105

Answer:

1/4

Step-by-step explanation:

there are 4 colors meaning each one has a 1/4 chance

Answer:

Hi! The answer to your question is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!

Answer:

[tex]\frac{y^{3}}{2z^{7}}[/tex]  

Step-by-step explanation:

1. Move  z^ − 3  to the denominator using the negative exponent rule  b ^− n = 1/ b ^n

2. Multiply  z ^4  by  z ^3  by adding the exponents.

3. Cancel the common factor of  4  and  8

4. Cancel the common factor of  x^2

Answer:

[tex]\frac{y^{3} }{2z^{7} }[/tex]

Step-by-step explanation:

Answer:

The answer would be 81,000

Step-by-step explanation:

Answer:

The answer is 81,000

Step-by-step explanation:

If you multiply 30x30x30+30x30x60=81,000

We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

[tex]40 - 24 = 16[/tex]

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]

[tex]\frac{16}{2} = 8[/tex]

Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:

[tex]AG^{2} + GT^{2} = AT^{2}[/tex]

[tex]AG^{2} + 8^{2} = 10^{2}[/tex]

[tex]AG^{2} + 64 = 100[/tex]

[tex]AG^{2} = 36[/tex]

[tex]AG = 6[/tex]

Answer:

2x^2+3x^4+1

Step-by-step explanation:

a trinomial  is composed by three monomials.

So only A and B can be correct

the degree of a polynomial is the same of the monomial that compose it with the biggest degree

so the answer is B because the monomial with the biggest degree is 3x^4 (its degree is 4)

Answer:

$60

Step-by-step explanation:

sorry if I'm wrong ^-^

Answer:

its 46

Step-by-step explanation:

Answer:

That question is easy you can use simple logic for this no math needed the answer is B 4.2mi if you need a reason why it is i will provide one

Step-by-step explanation:

Answer:

5x-2

Step-by-step explanation:

2x+3x=5x

5-7=-2

Answer:

5x+-2

Step-by-step explanation:

(2x+5) + (3x-7)

2x+3x=5x

5-7=-2

5x-2

Answer:

The answers are B, D, and E.

Answer:

The X coordinate is 6, since it's midway between J and K. If you draw a midline from L, and running to the midpoint of the line JK, you make two right angled triangle. The length of the midline would be the square root of the difference of the squares of six and three, which is 5.20, which is the offset of the Y coordinate of L from the Y coordinate of J and K, which is 2. Add 5.20 to 2 to get the Y coordinate of L as 7.20. L is therefore (6,7.20)

Answer:

(6, 7.2)

Step-by-step explanation:

Since it is an equilateral triangle, all of the side length must be equal.

Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says

(JK/2)² + h² = JL²

putting in the values of JK and JL gives

(6/2)² + h² = 6²

3² + h² = 6²

subtracting 3^2 from both sides gives

h² = 6² - 3²

h² = 27

Taking the square root of both sides gives

h =

[tex] \sqrt[3]{3} [/tex]

h = 5.2

With the value of h in hand, we can now read off the coordinates of L.

The x coordinates of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).

The y-coordinates of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the triangle is plus the height of the triangle).

Answer:

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

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

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

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

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

  -We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

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

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

     - We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

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

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

        -We have to multiply 3/4  by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

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

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

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

Hope I helped, Have a nice day!

              -Aadi x

Answer:

9 mins and 8 secs

Step-by-step explanation:

Answer: the answer is a

Step-by-step explanation:

Answer:

the answer is A

because translating is just shifting

Answer:

6/10 = 0.6

3/25 = 0.12

1/5 = 0.2

14/20 = 0.7

24/50 = 0.48

1/2 = 0.5

8/25 = 0.32

4/10 = 0.4

17/20 = 0.85

6 x 4/8 = 3

6 x 4/12 = 2

8 x 18/8 = 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

6. 8

7. 21

8. 18

Answer:

B. $145.00

Step-by-step explanation:

4(x+15)= 640

or, 4x+60=640

or, 4x = 640-60

or, 4x = 580

or, x = 580/4

x= 145

Answer:

x = 2

Step-by-step explanation:

4(5 - 2x) + 3 = 7

Distributive property ,    multiply (5-2x) by 4:

20 -8 x + 3 = 7

Combine like terms:

23 - 8x = 7

Inverse add and subtract:

23 - 7 - 8x + 8x = 7 - 7 + 8x

16 = 8x

Inverse divide:

16/8 = 8x/8

x = 2