All categories

2 years ago

Are the ratios 5:4 and 20:16 equivalent?

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

5 0

Answer:

yes

Step-by-step explanation:

If you take 20 and divide by 4 you get 5. if you take 16 and also divide by 4, you will get 4.

You might be interested in

What are the coordinates of point B on AC Such that the ratio of AB to AC is 5:6

Oksi-84 [34.3K]

Answer:

$\vec B = \left(x_{A}+\frac{5}{6}\cdot (x_{C}-x_{A}), y_{A}+\frac{5}{6}\cdot (y_{C}-y_{A}), z_{A}+\frac{5}{6}\cdot (z_{C}-z_{A})\right)$

Step-by-step explanation:

Let suppose that A, B, and C have the following points with respect to origin in the Euclidean space:

$\vec A = (x_{A}, y_{A}, z_{A})$

$\vec B = (x_{B}, y_{B}, z_{B})$

$\vec C = (x_{C}, y_{C}, z_{C})$

Besides, let consider that locations of A and B are currently known. The ratio is:

$\frac{AB}{AC} = \frac{5}{6}$

$AB = \frac{5}{6} \cdot AC$

Vectorially speaking, expression can be rewritten in the following terms:

$\overrightarrow{AB} = \frac{5}{6}\cdot \overrightarrow{AC}$

$(x_{B}-x_{A}, y_{B}-y_{A}, z_{B}-z_{A}) = \frac{5}{6}\cdot (x_{C}-x_{A}, y_{C}-y_{A}, z_{C}-z_{A})$

Now, each side of the equation is summed vectorially by $\vec A$ and coordinates of point B are finally found:

$\vec B = \left(x_{A}+\frac{5}{6}\cdot (x_{C}-x_{A}), y_{A}+\frac{5}{6}\cdot (y_{C}-y_{A}), z_{A}+\frac{5}{6}\cdot (z_{C}-z_{A})\right)$

3 0

3 years ago

MATH QUESTION - Please Help

Komok [63]

She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies

8 0

3 years ago

Read 2 more answers

John runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48 minutes?

dimulka [17.4K]

Make a ratio, then cross multiply.

4/30=x/48

30x=4x48
30x=192
x=6.4

3 0

4 years ago

I need help asap. everythings in the image

Fudgin [204]

The function in terms of the time (t) is t=d/r and the value of the time (t) for the given values is 5.

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:

a= the slope

b=constant term that represents the y-intercept.

For the given example: a=2 and b=7.

In the exercise is asked the equation for the time (t) in the function of the distance (d) and the rate (r).

Thus, if d=rt, we will have t= d/r

Replacing the variables for the given values for finding t. The question gives:

distance (d) =40

rate (r) = 8

Thus, you will have t= 40/8. Then, t=5

Therefore, the answer is the fourth option.

Read more about the linear equations here:

brainly.com/question/2030026

#SPJ1

7 0

2 years ago

Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown. mc022-1.jpg Each kite measures 6 inc

Sedaia [141]

the question does not present the picture, but this does not interfere with the resolution

step 1

Find the area of a kite

we know that

area of a kite=(1/2)*[d1*d2]

where d1 and d2 are the diagonals

area of a kite=(1/2)*[6*12]-----> 36 in²

<span>The wall is 12 feet across-----> convert to in-----> 12*12----> 144 in

step 2
find the number of kite to paint
divide across of the wall to across of a kite
144/6-----> 24

step 3
find the n</span><span>umber of square inches of the wall to be covered with comets
</span>24*area of one kite-----> 24*36-----> 864 in²

the answer is 864 in²
<span>Note For this calculation, as there is no drawing we have assumed that the diagonal of the 6-inch kite is horizontal
</span>
case b)
<span>If the diagonal of the 12-inch kite was horizontal, then the calculation would be
</span>step 2
find the number of kite to paint
divide across of the wall to across of a kite
144/12-----> 12

step 3
find the number of square inches of the wall to be covered with comets
12*area of one kite-----> 12*36-----> 432 in²

the answer would be 432 in²

5 0

4 years ago