The rectangle shown has a perimeter of 64 cm and the given area. Its length is 8 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answer:

-7 4/5 or -7.8

Step-by-step explanation:

Product means multiplication

( - 13/8 )( 24/5)

= (-13 · 24)/(8 · 5)    negative · positive = negative

= - 312/40

=  -7  32/ 40 = -7 4/5 or 7.8

Answer:

i can help with the problem

102 hundredths

102/100

(a) The rate at which the bag is draining is 75mL/h.

(b) After 6 hours, the remaining fluid is =0 mL.

Rate is a measurement of change of a quantity with respect to another quantity.

Given that,

Initial volume of bag=750 mL,

After 4 hours later, the volume of bag= 450.

(a)

To determine the rate of draining,

The change of volume in 4 hours= 750-450=300

The change of volume in 1 hour = 300/4=75

So, the rate of draining= 75mL

(b)

To determine the remaining volume of bag after 6 hours,

The volume drains in 1 hour=75 mL

The volume drains in 6 hours = 75×6=450

The remaining fluid = 450-450=0

The fluid remains after 6 hours is 0mL.

To know more about Rate on :

https://brainly.com/question/23634231

#SPJ2

Answer:

325/12

Step-by-step explanation:

12(1/4 + 1/3)² + 23

12(7/12)² + 23

12(49/144) + 23

49/12 + 23

325/12 = 27 1/12 = 27.08333333

Answer:

-60

Step-by-step explanation:

Any number within the absolute value sign is always positive.

−|60|  

- x 60  Negative sign times 60

=-60

Hope this helps :)

Answer:

Step-by-step explanation:

The period of a simple pendulum is

T = 2π√(L/g)

as going from zero velocity to max velocity takes 1/4 of a period

t = ¼(2π)√(L/g)

t = ½π√(L/g)

t = ½π√(0.864/9.81)

t = 0.466 s

Answer:

hhhhhhhhhhhhiiiiiiiii

Answer:

5

Step-by-step explanation:

Just 1/4 from each of 5 bars so 5.

Answer:

20

Step-by-step explanation:

So if we divide 5 by 1/4 that gives us 20, which is the total amount of friends she can give 1/4 of a bar too

Answer:

B

Step-by-step explanation:

since the value is -2 1/4, the point must be less than -2, so it cant be C or D. Since A is less than -3, it cant be A so the point is B

Answer:

25 text messages

Step-by-step explanation:

First of all you need to find how much money was added to his phone bill. 31.92-27.42 would equal 4.5. Then you would divide that number by 0.18 to find out the total text messages, which is 25

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.

After screwing in those 3 red bulbs, there remain only 6 open sockets.

We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.

After screwing in those 4 red bulbs, there remain only 2 open sockets.

We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.

After screwing in those 2 bulbs, all the sockets have a bulb in them.

Answer (9C3)(6C4)(2C2) = 1260.

Answer:

211 remainder 6

Step-by-step explanation:

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Answer:

c. x=65

f. Alternate Exterior Angles

Step-by-step explanation:

2x+2=3x-63

2x=3x-65

-x=-65

x=65

They would be Alternate Exterior Angles because, they are 1, both on the outside of the parallel lines, and they are on different sides of the intersecting line, making them alternate. So, Alternate Exterior Angles

Answer:

5 MIN

Step-by-step explanation:

Answer:

Given that;

√[5{2(3/4)} - (3/10)]

⇛√[5{11/4 - 3/10}]

Take the LCM of 4 and 10 is 40.

⇛√[5{(55-6)/20}]

⇛√[5{(49/20)}]

⇛√(49/4)

⇛√(7²/2²)

⇛√(7/2)²

⇛√7*7/√2*2

⇛7/2 ≈ 3(1/2) or 3.5 Ans.

Hope this helps!!

Answer:

The correct answer is C, 44.25. I just took the test....

Step-by-step explanation:

Answer:

Step-by-step explanation:

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.

here, we have,

Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.

Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.

we have,

sinθ < 0 means below the x axis

cotθ = cosθ/sinθ < 0

As sinθ  is already < 0 means cosθ has to be > 0 meaning right of the y axis.

Right of y and below x is the IV quadrant.

Hence, The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).

To learn more about trigonometric identities refer to:

brainly.com/question/7331447

#SPJ2

Answer:

Step-by-step explanation:

lets put the small pumpkin as x that means medium is 3x and large is 6x

so we have a equation

x+6x+3x=20

combine them

10x=20

divide by 10

x=$2

Answer:

2

Step-by-step explanation:

you really should stop the noetic tests

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

120 · 15% = 18

I hope this helps!!

Answer:

1/3y=2(-4-1/6)

The first one answer is y=-25

-6×-4-y=17.75

The second answer is y=6.25

Steps are in the attachment.

Note :-

=》2 is taken as negative & also taken out of the square root as it's the common factor.

______

⚜ Hope it helps :))

Answer:

5 seconds

Step-by-step explanation:

hope it helps

correct me if i'm wrong

Answer:

178

Step-by-step explanation:

All right!!

Line l is parellel to line m.

So if r is 91 then we can infer that s helps it make a 180 degree angle/straight line.

So 180 - 91 = 89

s = 89

If the two lines are parallel then s = u because of inner angles/outer angles stuff.

If s=u then u = 89 as well.

And because of vertical angles, t =u so t = 89.

Now the question asks to find t + u, so t + u = 89 + 89 = 178

Hope that helps!!

Answer:

what question

Step-by-step explanation:

Answer:

Mary - 14

Mary's sister - 21

Step-by-step explanation:

Let x be the age of Mary = x

age of Mary's sister = x + 7

Add up to 35

x + x + 7 = 35

2x = 35 - 7

2x = 28

2x/2 = 28/2

x = 14

Now substitute the value of x

Mary = 14

Mary's sister = 14 + 7 = 21

21 + 14 = 35

[tex]\\ \sf\longmapsto tan28=\dfrac{BC}{AC}[/tex]

[tex]\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}[/tex]

[tex]\\ \sf\longmapsto BC=29.3(0.5317)[/tex]

[tex]\\ \sf\longmapsto BC=15.5mi[/tex]

Now

[tex]\\ \sf\longmapsto AB^2=29.3^2+15.5^2[/tex]

[tex]\\ \sf\longmapsto AB^2=848.49+240.25[/tex]

[tex]\\ \sf\longmapsto AB^2=1088.74[/tex]

[tex]\\ \sf\longmapsto AB=32.9mi[/tex]