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photoshop1234 [79]
3 years ago
12

Solve the following equation using the distributive property.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

Step-by-step explanation:

41.4 = 3.6(x + 4.5)

=> 41.4 = 3.6x + 3.6(4.5)

=> 41.4 = 3.6x + 16.2

=> 3.6x = 41.4 - 16.2 = 25.2

=> x =  \frac{25.2}{3.6}  = 7

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Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she
Dmitrij [34]

Answer: The  below figure shows the graph of the given situation.

Step-by-step explanation:

Since, at first Caroline has brownies= 48

And, according to the question, it is decreasing by 6 per hour.

Then, the function of the given situation can be written as,

f(x)=48 - 6 x,     ------ (1)

where,  x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.

Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),

We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0

So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).

With help of the above points we can draw the graph of the given situation.

Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.


8 0
3 years ago
Read 2 more answers
If p 0 and p+q=r which statement is true
zhuklara [117]

Answer:p=qbecause they are the same

Step-by-step explanation:

3 0
3 years ago
Consider △RST and △RYX. If the triangles are similar, which must be true? A. RY/YS=RX/XT=XY/TS B.RY/RS=RX/RT=XY/TS C.RY/RS=RX/RT
trasher [3.6K]

Answer:

B.RY/RS=RX/RT=XY/TS

Step-by-step explanation:

If Triangles RST and RYX are similar, then the ratio of their corresponding sides is:

\dfrac{RS}{RY}= \dfrac{ST}{YX}=\dfrac{RT}{RX}\\$This could also be written by switching the numerator and denominators as:\\\dfrac{RY}{RS}= \dfrac{XY}{TS}=\dfrac{RX}{RT}

Out of the given options, Option B is true.

3 0
3 years ago
58. 122. 61. None of the choices are correct
In-s [12.5K]

Answer:

C. 61

Step-by-step explanation:

Two sides are equal, so the triangle is an isosceles triangle.

Both base angles are equal.

Angles in a triangle add up to 180 degrees.

58 + x + x = 180

58 + 2x = 180

2x  = 122

x = 61

8 0
3 years ago
Simply 20-3[4(z+1)-6(z-2)]
creativ13 [48]

Answer:

The answer is 6z-28

Step-by-step explanation:

20 - 3[4(z+1) - 6(z-2)]

= 20 - 3(4z+4-6z+12)

= 20 - 3(16 - 2z)

= 20 - 48 + 6z

= 6z - 28

8 0
3 years ago
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