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Which algebraic expression does this model represent?

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4x+16

4(x+3)

x+34

-4(x+3)

Answer:

100

Step-by-step explanation:

They are the same.

Hope I helped!

Answer:

100°

Step-by-step explanation:

ACD=ECB=100°

[Vertical opposite angles are equal]

9514 1404 393

Answer:

  a) base: 29.4377 cm

  b) hypotenuse: 30.7827 cm

  c) area: 132.470 cm²

  d) perimeter: 69.2204 cm

Step-by-step explanation:

a) The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(17°) = (9 cm)/base

  base = (9 cm)/tan(17°) = 29.4377 cm

__

b) The sine relation could be used in the same way to find the hypotenuse:

  hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm

However, we're instructed to use the Pythagorean theorem. So, we have ...

  hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm

__

c) The area is half the product of the base and height:

  A = 1/2bh

  A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²

__

d) The perimeter is the sum of side lengths:

  P = base + hypotenuse + height

  P = (29.4377 +30.7827 +9) cm = 69.2204 cm

The missing options are:

[tex]A.\ f(20) =5,000[/tex]

[tex]B.\ f(5000) = 20[/tex]

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

[tex]A.\ f(20) =5,000[/tex]

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using  [tex](x,y)[/tex]

So, when x = 20 and y = 5000 ----- given

[tex](x,y)[/tex] implies that:

[tex](x,y) = (20,5000)[/tex]

We got [tex](20,5000)[/tex] by substituting 20 for x and 5000 for y

From the list of given options, the above represented of (x,y) is illustrated in option C

Represent (x,y) as a function, we have:

[tex]y = f(x)[/tex]

Substitute values for x and y

[tex]5000 = f(20)[/tex]

Reorder

[tex]f(20) = 5000[/tex]

The above is illustrated in option A

Hence, A and C answers the question

Answer:

5000

Step-by-step explanation:

Using the mortgage interest principle, the amount of equal payment to be made ls $8000

Mortgage payment = $100000

Interest rate = 3%

The total amount to repayed can be calculated thus :

Number of annual payments = 20

Total repayment = 100000(1 + (0.03 × 20))

Total repayment = 100000 + 60000 = $160,000

Amount of each payment = $160000 / 20 = $8000

Therefore, the amount to be repayed annually is $8000

Learn more : https://brainly.com/question/18904995

Answer:

otay wait why am i here?

Answer:

the answer is B.300.Don't forget to mark brainliest

Answer:

a

Step-by-step explanation:

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

Hence,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train =  (E)

A Westbound train =  (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400  ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400  

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for =  (E) = 2.67 hours

A Westbound train has been travelling for =  (W) = 1.33 hours

Answer:

10 cats

Step-by-step explanation:

If there are 10 cats, they all will catch 6 mice each, which means 60 mice in total. If they catch 6 mice in 6 seconds, that means they will catch 60 mice in 60 seconds. You need 10 cats to get this task done

Answer:

33% of 279 is equivalent to multiplying them: 33% × 279.

Step-by-step explanation:

Answer:

7.14285714286

Step-by-step explanation:

you basiclly just divide 5 by 7/10 or 5/1 divided by 7/10

68

I think, unless if it is multiplied =48

Answer:

48

Step-by-step explanation:

the h value is 8, so multiply 6 and 8,

for future reference, is there is no symbol in the middle, then you always multiply it

Answer:

The number of square meters that Ruben can pain in 2 1/2 hours is:

16 1/4m²

Step-by-step explanation:

a) Data and Calculations:

Number of square meters that Ruben can pain in one hour = 6 1/2m²

Therefore, every 1/2 half he can paint 3.25m² or 3 1/4m²

In two hours, he can pain 6 1/2m² * 2 = 13m²

Using the same rate, in 2 1/2 hours, he can pain =xm² (0r 13m² + 3 1/4m²)

x = 6.5 * 2.5

= 16.25

= 16 1/4m²

b) Since Ruben can paint 6 1/2m² in one hour, he can then paint more square meters, multiplied by 2.5 in 2 1/2 hours.  This means that he will be doubling the square area he can paint in 2 hours and painting half of the square area in 1/2 hour's time, given his speed.

How many square meters can he paint in 2 1/2 hour is  ​65/4 square meters

Given:

Square meters per hour= 6 ½

Number of hours =2 ½

Let x represent how many square meters  he can paint in 2 1/2 hour

First step is to convert the mixed numbers to improper fractions

6 ½= ‌‌13/2

2 ½ = ‌‌5/2

Now let determine how many square meters  he can paint in 2 1/2 hour

x=(13/2)× (5/2)

x= 16.25 or 65/4

Inconclusion How many square meters can he paint in 2 1/2 hour is  ​65/4 square meters.

Learn more here:

https://brainly.com/question/14170216

Answer:

-37/5 because you subtrace both y values on the numerator to get 74 and on the bottom you do the same for x and get -10 and then you simplify to get -37/5

Answer:

72 is the answer

21-4 IS 17, AND 17 - 9 IS 8, THEN 9X8 IS 72.

Answer:

y-8=1(x-4)

Step-by-step explanation:

I used the equations y-y/x-x and y-__y__=__m__(x-__x__)

Answer:

41.5?

Step-by-step explanation:

is that it to the question or is there more?!?!

Answer:

0.42

Step-by-step explanation:

60-18= 42

42/100=0.42

(Hope this helped! :D)

Answer:

-15.4

Step-by-step explanation:

Simply just means "solve" or "make the equation shorter"

Answer:-15.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Marty's earnings = 8.50 x 19.5 = 165.75

Answer:

60 miles per hour

Step-by-step explanation:

Divide 120 miles by 2 hours and you get 60 miles per hour.

Answer:

60 mph

Step-by-step explanation:

120/2=60

If the car drives 120 miles in 2 hours, divide 120 by 2 to get the unit rate

Answer:

-0.656168ft

Step-by-step explanation:

If Spring force constant (k)  is 125  N/m

And the force is (F) 25 N ,

then the spring displacement (Δx) -0.656168

Equation used:

Knowing Hooke's law, we can write it down it the form of a formula:

F = -kΔx

F is the spring force (in N);

k is the spring constant (in N/m); and

Δx is the displacement (positive for elongation and negative for compression, in m).

Answer:

15, -9, and 0

Step-by-step explanation:

Integers are whole numbers like; -3, -2, -1, 0, 1, 2, 3, and so on. Fractions and decimals are not integers because they are parts, not wholes.

Answer:

The one at the top is the answer. She is smart lol

Step-by-step explanation:

Good job whoever posted that pic!!!!!

<33333

Good job nakylanicole

Answer:

17,  51,  24.

Step-by-step explanation:

i cant type it rn but i will put it in comments later :D hope this helped!

Answer:

Its A and C

Step-by-step explanation:

√73= 8.54

Its on the left side of 9 and on the right side of 7.

Answer: 1.1%

Step-by-step explanation:

$9.72 - $9.61 = .11

.11/9.60 = 0.01145833 x 100 = 1.1458333 round to the nearest tenth = 1.1%

Answer:

7,200,000

Step-by-step explanation: