3 equivalent ratios to 8 over 10

Answers

Answer 1
Answer: here are some 4:5, 16:20, 32:40

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What is 1,304,000,000 in scientific notation??

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In scientific notation, depending on the number of significent figures you're supposed to have, it would be 1.3•10^9

What's the property that justifies my 1st step?

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Substraction is a comutative operation 
x + 3x + 4 = 72
4x + 4 = 72
4x = 68
x = 68 / 4
x = 17.

5 times 7/8 then converted to simplest form?

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5*7/8 = 4 3/8
5/1 * 7/8 = 35/8
convert into mixed number because numerator is bigger than the denominator so it it
4 3/8

What do points B and D represent on the box plot?

Answers

Answer:

see explanation

Step-by-step explanation:

B represents the lower quartile, that is 4

D represents the upper quartile, that is 15

Some one please help me with this problem. Thank you. NO answers, just explanation on how to solve it.

Answers

y = 3/2 t - 5/2 ; where t = 3

Substitute t by its value. the nearness of 3/2 to t denotes multiplication.

y = (3/2 *3) - 5/2

3 is a whole number. it is 3/1 in fraction form. 
In multiplying fractions, simply multiply the numerator and the denominator.

y = (3*3 / 2*1) - 5/2
y = 9/2 - 5/2

Subtracting fractions: We can only subtract or add fractions if they all have the same common denominator. Since both fractions have 2 as denominator, we can proceed to subtracting its numerators.

y = (9-5)/2      *subtract numerators and place over the common denominator
y = 4/2            * simplify the fraction.
y = 2/1 or 2

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190.What is the maximum height of the projectile?
A. 82 feet
B. 190 feet
C. 226 feet
D. 250 feet

Answers

Answer:

Option c is correct

226 feet  is the maximum height of the projectile.

Step-by-step explanation:

A quadratic equation y=ax^2+bx+c,   ....[1]

then the axis of symmetry is given by:

x = -(b)/(2a)

As per the statement:

The path of the projectile is modeled using the equation :

h(t) = -16t^2+48t+190            ....[2]

where, h(t) is the height after t time.

On comparing with [1] we have;

a = -16 and b = 48

then;

t = -(48)/(2(-16)) = (48)/(32) = 1.5 sec

Substitute this in [2]  we have;

h(1.5) = -16(1.5)^2+48(1.5)+190  

h(1.5) = -36+72+190  

Simplify:

h(1.5) = 226 ft

Therefore, the maximum height of the projectile at 1.5 sec is, 226 feet.

The answer is C on edge