Factor as the product of two binomials

36+12x+x^2

Answer:

60 goody bags

Step-by-step explanation:

1 kg = 1000 g

6.2 kg = 6,200 g

Empty box = 200 g

Box + goody bags = 6,200 g

Weight of Goody bags = Box + goody bags - empty box

= 6,200g - 200g

= 6,000 grams

Each goody bag = 100 g

how many goody bags are inside the box

Number of goody bag in the box = total weight of goody bag / weight of each goody bag

= 6,000 grams / 100 grams

= 60 goody bags

There are 60 goody bags in the box

Answer:

1. x^2-5

2. 13x+3

3. Add −5 and 3

2x−13x-2

hope this helps!!:)

Step-by-step explanation:

Answer:

Screenshot and post it please

Step-by-step explanation:

Answer:

$18.375 or rounded = $18.38  (brainliest if correct)

Step-by-step explanation:

25.00- 7.5 = $17.5

5% of 17.5 = 0.875

17.5 +0.875 = 18.375

Answer:

I think it is 8

Step-by-step explanation:

Im sorry if it is wrong :(

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

Answer:

60% of 850 is 510

Step-by-step explanation:

Answer: left one is no solution and right one is infinite solutions

explanation: the left one the lines don’t touch at all which has no solution and the right one means that both lines are on top of each other

In the first graph, there are ''No solution.''

In the second graph, there are ''Infinitely solution.''

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Now,

For the first graph;

In this graph we can see that there are two parallel lines.

We know that two parallel lines never intersect.

Therefore, we never get any common coordinate for this.

Thus, This system has ''No solutions.''

For the second graph;

There is a single straight line is given.

We know that each point be the solution of this line and a line contains infinitely many pints.

Thus, it has ''infinitely many solutions.''

Hence, The first graph is shows the ''No solution'' and the second graph is shown the ''infinitely many solutions.''

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Step-by-step explanation:

b2 =5

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

1) First find the number of buses

Equation:

total students ÷ 60 students per bus = number of buses taken

       340         ÷               60                 =     5 buses taken with 40 students left

2) Now find the number of cars taken

Equation:

students left ÷ 5 students per car = number of cars taken

        40        ÷                5               =         8 cars taken with 0 students left

So your answer is 8 cars and 5 buses.

I hope this helps!

-sincerelynini

Answer:

∠TUV = 56°

Step-by-step explanation:

∠TUV = 1/2 ∠TWV

∠TUV = 112° ÷ 2 = 56°

Answer:

56

Step-by-step explanation:

u is the inscribed angle and w is the central angle , inscribed angle is always equal half the central angle so the answer is 112×1/2 = 56

Answer:

21

Step-by-step explanation:

Assuming this is a right triangle, we can use Pythagorean Theorem to find the third side. We'll represent the missing side with the variable x.

x² + 20² = 29²

x² + 400 = 841

x² = 441

x = 21

Therefore, the length of the third side is 21.

Answer:

y = 4.25x

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

Hence the required equation is y = 4.25x

Answer:

3 cm

Step-by-step explanation:

So, in the first week, the water decreased 4 cm

But, in the next week the water level rose by 7 cm

So, we need to do -4+7, which equals 3cm

Thanks!

Answer:

floor seats=35

and the balcony seats =72

Step-by-step explanation:

Step one

given data

let the floor seats be x

and the balcony seats be y

so

45x+25y=3375-------1

x+y= 107----------------2

from 2, x= 107-y

put x= 107-y in  1

45(107-y)+25y=3375

4815-45y+25y=3375

collect like terms

-45y+25y= 3375-4815

-20y=-1440

divide both sides by -20

y=72

put y= 72 in eqn 2

x+72=107

x=107-72

x=35

Answer:

the answer for first question is b

Answer:

120

Step-by-step explanation:

Answer:

[tex]m\angle V=30^\circ[/tex]

Step-by-step explanation:

Angles in a Triangle

The sum of the angles in a triangle is 180°. We are given the measure of all angles in the triangle:

[tex]m\angle U=9x-8[/tex]

[tex]m\angle V=2x+2[/tex]

[tex]m\angle W=3x+4[/tex]

Thus:

9x - 8 + 2x + 2 + 3x + 4 = 180

Simplifying:

13x - 2 = 180

Adding 2:

13x = 182

Dividing by 13:

x = 182/13 = 14

x = 14

Now we calculate:

[tex]m\angle V=2x+2=2*14+2=28+2 =30[/tex]

[tex]\mathbf{m\angle V=30^\circ}[/tex]

Answer:

13 > -17 < -4

Step-by-step explanation

13 = postive number

-17 and -4 = negtive.

13 is greater than -17

Since negtive is oppistie of postive it goes backwards.

So -4 is greater than -17

(Im new to this so Im not sure if it is correct)

Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).

Step-by-step explanation:

A. (5; _)   [x = 5; y - ?]

x² + y² = 25

5² + y² = 25

25 + y² = 25

25 + y² - 25 = 25 - 25

y² = 0

y = 0

A. (5; 0)

B. (_; -5)   [x - ?; y = -5]

x² + y² = 25

x² + (- 5)² = 25

x² + 25 = 25

x² + 25 = 25

x² + 25 - 25 = 25 - 25

x² = 0

x = 0

B. (0; - 5)

C. (_; 0)   [x - ?; y = 0]

x² + y² = 25

x² + 0² = 25

x² + 0 = 25

x² = 25

x = ± √25 = ± 5

C. (-5; 0) or (5; 0)

Point A has coordinates (5; 0), which means that

point C has coordinates (-5; 0).

D. (0; _)   [x = 0; y - ?]

x² + y² = 25

0² + y² = 25

0 + y² = 25

y² = 25

y = ± √25 = ± 5

D. (0; - 5) or (0; 5)

Point B has coordinates (0; -5), which means that

point D has coordinates (0; 5).

Answer: Rounded: 350 miles/inch

Exactly 352 miles per inch.

Step-by-step explanation: Divide the miles by the inches to find miles per inch.

880/2.5 = 352.

It would make sense to round that to say the scale is 350 miles per inch.

One inch represents 350 miles

Answer:

18 pieces

Step-by-step explanation:

Max is building a treehouse. He has a piece of wood that is 6 ft long. How many 1/3 ft pieces of wood can you cut?

From the above question, we can deduce that:

1 piece of wood = 1/3ft

Hence:

1/3 = 1 piece of wood

6 ft = x

Cross Multiply

1/3ft × x = 6 ft × 1

x = 6 / 1/3

x = 6 × 3

x = 18 pieces

Hence, you can cut 18 (1/3 ft )pieces of wood .

9514 1404 393

Answer:

  m = -3

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) + a^(b+c)

__

  [tex](-3)^{m+2}\times(-3)^5=(-3)^4\\\\(-3)^{m+2+5}=(-3)^4\\\\m+7=4 \qquad\text{equate exponents}\\\\\boxed{m=-3} \qquad\text{subtract 7}[/tex]

Answer:

3.3 or 10/3

Step-by-step explanation:

Step-by-step explanation:

We arrange the numbers in increasing order:

0.9, 1.4, 2, 2.4, 3.5

Since there are five terms, the median is the third term, which is 2.

The median of the given data set is 2.

The median is the middle number in a sorted, ascending or descending list of numbers.

Given is a data set, 1.4, 0.9, 2.4, 3.5, 2​, we need to find median,

Rearranging the data from lowest to greatest,

0.9, 1.4, 2, 2.4, 3.5

Since, the median is the middle most value in a data, therefore, the middle most value of the given data is 2.

Therefore, we can say the median is 2.

Hence, the median of the data is 2.

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Answer:

(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)