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White raven [17]
3 years ago
10

Gilberto's family traveled 2 7 of the distance to his grandmother's house on Saturday. They traveled 4 5 of the remaining distan

ce on Sunday. What fraction of the total distance to his grandmother's house was traveled on Sunday?
Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

the fraction of the total distance traveled on the sunday is \frac{4}{7}

Step-by-step explanation:

The computation of the fraction of the total distance traveled on the sunday is given below:

= 1 - \frac{2}{7} \times \frac{4}{5}\\\\= \frac{5}{7}    \times \frac{4}{5}\\\\= \frac{4}{7}

Hence, the fraction of the total distance traveled on the sunday is \frac{4}{7}

We simply multiplied the two fractions

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Step-by-step explanation:

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To find the sum of 4 and -5.
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Select the correct answer from each drop-down menu.
finlep [7]

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be (x_2,y_2)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be (x,y)

Coordinates of A =(x_1,y_1)=(-6,5)

Coordinates of B=(x_2,y_2)=(10,-4)

We will use section formula over here

x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}

m:n=3:2

x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

4 0
3 years ago
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