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3 years ago

14

What is 17/21 - 2/10 = _ - _ = ____

1 answer:

umka2103 [35]3 years ago

5 0

Step-by-step explanation:

step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)

step 2. (17/21)(10/10) - (2/10)(21/21) = x

step 3. 170/210 - 42/210 = x

step 4. 128/210 = 64/105 = x

step 5. x = 64/105.

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What's is the formulae for finding ratio

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A ratio is just making a comparison between different quantities.

example:

Say there are 10 students in a class. 4 students are girls, 6 are boys.

the ratio of girls to boys is 4:6
then you simplify to 2:3

the ratio of boys to girls is flipped because boys is said first.
boys to girls 6:4 simplified to 3:2

If you are asked for the ratio of girls to students then it's 4:10 because you use the number of all students in the class.
4:10 simplifies to 2:5

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A large university accepts 60% of the students who apply. Of the students the university accepts, 30% actually enroll. If 30,

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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

$(C_x,C_y)$ ----> coordinates of point C

we have that

The horizontal distance AB is equal to

$AB_x=10-2=8\ units$

The vertical distance AB is equal to

$AB_y=10-4=6\ units$

Find the horizontal coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

so

$\frac{AC_x}{CB_x}=\frac{3}{1}$

$AC_x=3CB_x$ ----> equation A

$AC_x+CB_x=8$ ----> equation B

substitute equation A in equation B

$3CB_x+CB_x=8$

$4CB_x=8\\CB_x=2$

$AC_x=3(2)=6$

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

$C_x=A_x+AC_x=2+6=8$

Find the vertical coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

so

$\frac{AC_y}{CB_y}=\frac{3}{1}$

$AC_y=3CB_y$ ----> equation A

$AC_y+CB_y=6$ ----> equation B

substitute equation A in equation B

$3CB_y+CB_y=6$

$4CB_y=6\\CB_y=1.5$

$AC_y=3(1.5)=4.5$

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

$C_y=A_y+AC_y=4+4.5=8.5$

therefore

The coordinates of point C are (8,8.5)

5 0

3 years ago