All categories

3 years ago

In the following proportion, what does y equal?

Mathematics

2 answers:

juin [17]3 years ago

6 0

Answer:

4 30

Cross multiply:

Y * 30 = 4 * 39

Simplifying

Y * 30 = 4 * 39

Reorder the terms for easier multiplication:

30Y = 4 * 39

Multiply 4 * 39

30Y = 156

Solving

30Y = 156

Move all terms containing Y to the left, all other terms to the right.

Divide each side by '30'.

Y = 5.2

Simplifying

Y = 5.2

netineya [11]3 years ago

5 0

Y/4 = 39/30

Cross multiply:

30y = (4 x 39)

30y = 156

Divide both sides by 30:

Y = 156/30

Y = 5.2

The answer is C. 5.2

You might be interested in

A) Both data sets multiplicative relationships. In Data Set 1, y is 3 times x and in data set 2 y is 3.5 times x B) Both data sh

Sladkaya [172]

For table # 1:

x= 1 * 3.5 = 3.5

x = 2*3.5 = 7

x = 3*3.5 = 10.5

x = 4* 3.5 = 14

For table #2

x=1 * 3 = 3

x =2 * 3 = 6

x = 3*3 = 9

x = 4* 3 = 12

Hence, the data sets show multiplicative relationships:

For data set 1 is 3.5 times x, and in data set 2 y is 3 times x.

8 0

1 year ago

In an experiment, what happens to the independent variable?

elena55 [62]

Step-by-step explanation:

It is purposely changed or manipulated.

7 0

3 years ago

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t

Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

$h(t)=-4.9t^2+121t+283$

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

$h(t)=0\implies-4.9t^2+121t+283=0$

Using the quadratic formula, the solution for our problem is

$\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}$

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

$h^{\prime}(t)=-9.8t+121$

The root is

$-9.8t+121=0\implies t=\frac{121}{9.8}=12.347$

Then, the maximum height is

$h(12.347)=1029.99$

1029.99 meters above sea level.

6 0

1 year ago

BRANLIEST and point for best answer

I am Lyosha [343]

None because it’s day light

6 0

3 years ago

Jerry has a miniature model of a boat. He knows that the model is 3 3/4 inches wide and 5 1/2 inches long. What is the actual le

mylen [45]

Answer:

22 feet

Step-by-step explanation:

Change 15 feet into inches using the conversion

1 foot = 12 inches, thus

15 ft = 15 × 12 = 180 inches

scale factor = 180 ÷ 3.75 = 48

Thus the actual dimensions of the boat are 48 times the model.

actual length = 48 × 5.5 = 264 inches = 264 ÷ 12 = 22 feet

6 0

3 years ago