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Mnenie [13.5K]
3 years ago
13

Charlotte and Riley walked 6/10 of a mile to school one day, and then after school they walked 3/8 of a mile to the store. From

the store back home was another 2/5 of a mile. How far did the girls walk in all?
Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer: The girls walked 1\dfrac38 miles.

Step-by-step explanation:

Given:  Distance from home to school = \dfrac{6}{10} mile

Distance from school to store = \dfrac38 mile

Distance from store to home = \dfrac25 miles

Total distance = \dfrac6{10}+\dfrac38+\dfrac25

= \dfrac{6\times4+3\times5+2\times8}{40}   [L.C.M.(10,8,5)=40]

= \dfrac{24+15+16}{40}

= \dfrac{55}{40}

= \dfrac{11}{8}=1\dfrac38  miles

Hence, The girls walked 1\dfrac38 miles.

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir
FromTheMoon [43]

The statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Given the equation of circle be x^{2} +y^{2}-2x-8=0.

We are required to find the appropriate statements related to the equation x^{2} +y^{2}-2x-8=0.

x^{2} +y^{2}-2x-8=0 can be written as under:

x^{2} +y^{2} -2x+1-9=0

x^{2} +1^{2}-2x+y^{2} -9=0

(x-1)^{2}+y^{2}-9=0

(x-1)^{2} +y^{2} =9

(x-1)^{2}+y^{2}  =3^{2}

Equation of a circle usually in the form x^{2} +y^{2} =a^{2} in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle x^{2} +y^{2}-2x-8=0 are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is x^{2} +y^{2} =9.

Learn more about radius at brainly.com/question/24375372

#SPJ1

3 0
1 year ago
a mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 6 liters of yellow tint are added to the origina
irakobra [83]
40 liters.....30% is yellow tint
0.30(40) = 12 liters are yellow

if u add 6 liters....(12 + 6) = 18 liters are now yellow...and since u added 6 liters, ur total mixture is now 46 liters.
18/46 = 0.39 = 39% <===
5 0
3 years ago
The table shows the distance Shannon ran over a week.
Sedbober [7]

Answer:

Shannon run 1.5 km more on Friday than on Saturday.

Step-by-step explanation:

From the given table

  • Distance run on Friday = 4/2 = 2 km
  • Distance run on Saturday = 1/2 = 0.5 km

  • In order to run how many more kilometers Shannon run on Friday than on Saturday, we need to subtract the distance run on Saturday from the distance run on Friday.

i.e.

Friday run - Saturday run =  2 - 0.5

                                          = 1.5 km

Thus, Shannon run 1.5 km more on Friday than on Saturday.

8 0
3 years ago
What is the solution of 9x-8=34x-12
Cerrena [4.2K]

Answer: x = 2/13

Step-by-step explanation:

9x-8=34x-12

Add 12 on both sides and you get

9x+4=34x

Subtract 9x from both sides and you get

4=26x

Divide 26 from both sides to get

X= 4/26

Simlify

x = 2/13

4 0
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Stells [14]

Answer:

Joshua's account had a greater change.

Step-by-step explanation:

Both accounts had $100

Joshua's account now has $67.25 which means he used $32.75

Crystal's account now has $131.97 which means he saved $31.97.

Joshua had a greater change of balance.

7 0
3 years ago
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