All categories

3 years ago

9. If y = 30 when x = 7, find x when y = 12.

Mathematics

1 answer:

Marianna [84]3 years ago

6 0

I have my work at the bottom but to explain you have to divide 30/12, and I got 2.5. That means 30 is 2.5 times bigger than 12. Because we have to find x, we have to divide 7/2.5, to find what is 2.5 times smaller than 7. That’s 2.8. So, x= 2.8

You might be interested in

In trapezoid ABCD with legs AB and CD , diagonals BD ∩ AC =M so that BM:MD=1:4. Find AAMD, ACMD, and AACD if the area of AABM=8

bazaltina [42]

Answer:

Area of triangle AMD is 32 square inches.

Area of triangle CMD is 8 square inches.

Area of triangle ACD is 40 square inches.

Step-by-step explanation:

In trapezoid ABCD with legs AB and CD.

Diagonal BD and AC intersect at M so that BM:MD=1:4

We are given ar(ABM)=8 in²

Ratio of area of two triangle is equal to ratio of their base.

$\dfrac{ar(ABM)}{ar(AMD)}=\dfrac{BM}{MD}$

$\dfrac{8}{ar(AMD)}=\dfrac{1}{4}$

$ar(AMD)=32\text{ in}^2$

Thus, Area of triangle AMD is 32 square inches.

If two triangles lie on same base and same parallel line then their area is equal.

$\therefore ar(ABD)=ar(ACD)$

$ar(ACD)=ar(ACD)=ar(AMD)+ar(ABM)$

$ar(ACD)=8+32\Rightarrow 40\text{ in}^2$

Thus, Area of triangle ACD is 40 square inches.

$ar(CMD)=ar(ACD)-ar(AMD)$

$ar(CMD)=40-32\Rightarrow 8\text{ in}^2$

Thus, Area of triangle CMD is 8 square inches.

5 0

4 years ago

A model car has a scale of 1:25. The length of the model when built is 9.6 in. What is the length of the actual car?

Mila [183]

240 in or 20 feet
just multiply the length by 25

3 0

3 years ago

Convert: 24 feet=how many yards

Virty [35]

Answer:

8 yards

Step-by-step explanation:

there are 3 feet in one yard so 24 divided by 3 is 8

5 0

3 years ago

What is the equation linethatis perpendicular to the given line and passes through the point (3,0)?

vladimir1956 [14]

Answer:

3y+x = 3

Step-by-step explanation:

for the point ( 3,0)

x=3 , y= 0

the equation for the line is given as

y-y1= m(x-x1)

for perpendicular ,

m= -1/x

y-0 = -1/3(x-3)

3y= -x +3

3y+x=3

3 0

3 years ago

97. An elevator in a tall building goes up 7 floors, then

Komok [63]

so, start floor = x

x + 7 - 9 - 4 + 8 - 2 = 14

x = 14

the elevator started on the 14th floor.

to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14

5 0

3 years ago

9. If y = 30 when x = 7, find x when y = 12.​

9. If y = 30 when x = 7, find x when y = 12.