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sergey [27]
3 years ago
12

There are 800 students in a high school. Two-fifths of the students are freshman, and 3/4 of the upperclassmen (sophomores thru

seniors) are involved in an enrichment. How many upperclassmen are not involved in an enrichment?
Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

1/4 upperclassmen are not involved in enrichment.

Step-by-step explanation:

"3/4 of the upperclassmen (sophomores thru seniors) are involved in an enrichment." That leaves 1/4 upperclassmen students left. Verification: 3/4 + 1/4 = 4/4. 4/4 is also 1 whole.

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A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.An orange hot-air balloon is 160 fee
Serhud [2]

ANSWER

Find out the how long will the Yellow balloon be higher than the orange balloon.

To proof

Now  the diagram is given below

As given

A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.

i.e height of the yellow baloon off the ground  = 100 feet

rising at rate = 8 feet per second.

.An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second.

i.e height of the orange baloon off the ground  = 160 feet

rising at rate = 5feet per second.

Formula

Relative\ velocity = \frac{Relative\ Distance}{Relative\ time}

Relative velocity =  rising rate of yellow balloon -   rising rate of orange balloon

= 8 -5

= 3 feet per second

Relative distance =  height of the yellow baloon off the ground -  height of the orange baloon off the ground

= 160 -100

= 60 feet

put in the formula

= \frac{60}{3}

= 20 second

after  20 second Yellow balloon will be higher than the orange balloon.

Hence proved

8 0
3 years ago
What is the least common multiple of 2,6 and 15?
Alex

Answer:

LCM of 6 and 15 by Listing Multiples

Step 2: The common multiples from the multiples of 6 and 15 are 30, 60, . . . Step 3: The smallest common multiple of 6 and 15 is 30.

4 0
3 years ago
Read 2 more answers
Tape diagram to subtract 33-19
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Well 33 - 19 = 14 and what do u mean tape diagram?
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Read 2 more answers
Please help!!
ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


5 0
3 years ago
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