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Ronch [10]
1 year ago
7

Jiaqi,Gwen and Patricia painted rhe walls of a room together . Jiaqi painted 4/7 of the walls . Gwen and Patricia painted an equ

al amount of the remaining area of the walls. Jiaqi painted 2/5 m2 more than the area that Gwen and Patricia each painted. Find the total area of the walls they painted.Give your answer as a mixed number in its simplest form
Mathematics
1 answer:
photoshop1234 [79]1 year ago
8 0

Answer:

1 3/25 m2.

Step-by-step explanation:

Let the portion of the wall painted by Jiaqi, Gwen and Patricia be denoted as X, Y and Z respectively.

Jiaqi (X):

= 4/7

Gwen (Y):

=1/2*(1 - 4/7)

= 1/2*(3/7).

= 3/14.

Patricia (Z):

=1/2*(1 - 4/7)

= 1/2*(3/7).

= 3/14.

Area of the wall painted:

Let the area of the wall painted by Gwen and Patricia be Y + Z.

The area painted by Jiaqi = 2/5 + Y + Z

Therefore,

4/7 = 2/5 + Y + Z

The ratio of portions painted by:

Jiaqi : Gwen : Patricia : Total

4 : 3/2 : 3/2 : 7

Multiple by 2,

8 : 3 : 3 : 14

= (X - (Y + Z))

8 – 3 = 5,

but, 5 units = 2/5,

Total units, 14 units = 28/25

= 1 3/25

1 3/25 m2.

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1 year ago
A new car is purchased for 20700 dollars. The value of the car depreciates are 11% per year. What will the value of the car be,
ASHA 777 [7]

Answer: $5,744.61

Step-by-step explanation:

year 1 = -2,277

year 2 = -2026.53

year 3 = -1803.61

year 4 = -1605.21

year 5 = -1428.64

year 6 = -1271.49

year 7 = -1131.62

year 8 = -1007.17

year 9 = -896.36

year 10 = -797.76

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you are subtracting 11% from each year.

5 0
1 year ago
According to the graph of H(w) below, the w-axis is also the _____ for H(w).
klemol [59]
Independent variable. It is also called abscissa.
4 0
1 year ago
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You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How muc
Dafna11 [192]

Hey there!

Let's write this as a ratio/proportion.

\frac{olive oil}{balsamic vinegar} = \frac{2.75}{1.5}

The sum of this basic ratio is 4.25.

To figure out how much of each we have for 34, we divide this 34 by 4.25, our sum of the two ingredients. This will give us a factor we can multiply our two ingredient measurements by.

34/4.25=8

Now, we multiply our two ingredients by eight.

2.75(8)=22

1.5(8)=12

Note that these two add up to make 34 tablespoons.

Therefore, we have...

22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar were used in the 34 tablespoons of bread dip.

I hope this helps! Have a great day! :)

8 0
2 years ago
Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the
natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.  

In order to triangle JKM be a right triangle KM^{2}=JK^{2}+JM^{2}.

We will find length of side KM using our right triangles JLM and JLK as KM=KL+LM.  

Using Pythagorean theorem in triangle JLM we will get,

LM=\sqrt{JM^{2}-JL^{2}}

LM=\sqrt{8^{2}-5^{2}}

LM=\sqrt{64-25}

LM=\sqrt{39}=6.244997998\approx 6.24

Now let us find length of side KL.

KL=\sqrt{JK^{2}-JL^{2}}  

KL=\sqrt{13^{2}-5^{2}}

KL=\sqrt{169-25}

KL=\sqrt{144}=12

Now let us find length of KM by adding lengths of KL and LM.

KM=12+6.24=18.24

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

KM^{2}=JK^{2}+JM^{2}  

18.24^{2}=13^{2}+8^{2}

18.24^{2}=169+64

18.24^{2}=233

Upon taking square root of both sides of equation we will get,

18.24\neq 15.264337522473748

18.2\neq 15.3  

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.    

6 0
1 year ago
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