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3 years ago

Please help! I will give you brainliest answer if you answer first and correctly, plus you have to explain!

Mathematics

1 answer:

guapka [62]3 years ago

7 0

Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now

(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30

Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120

There are 120 girls at Deacon Middle School

-----------------------------------------

Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y

(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20

making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100

so there are 100 girls at Meadow Middle School

-----------------------------------------

In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools

This is out of 270+180 = 450 students total

Divide the two values (220 and 450) to get
220/450 = 22/45

The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45

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A. 9.49 B. 8.49 C.0 D.72 help asap thank you!

kicyunya [14]

Answer:

A. 9.49

Step-by-step explanation:

Use Pythagorean theorem to find the distance and make a right triangle.

So then..

a² + b² = c²

3² + 9² = c²

c² = 9 + 81

c² = 90

c² = $\sqrt{90}$

c = 9.49

3 0

3 years ago

Wayne and Winston are scuba diving and are ascending to the surface. The function y = 30x − 105 represents Wayne’s elevation in

SashulF [63]

First find slope or rate of winston(0,-100) and (3,-16)

slope=(y2-y1)/(x2-x1)
slope=(-16-(-100))/(3-0)=(-16+100)/(3)=84/3=28/1

wane slope or elevation gain
y=mx+b
m=slope or rate of elevaion gain
b=yintercept or starting oint
y=30x-105
slope or rate of change is 30

30 vs 28

wane acends faster than winston

also, the starting point or when x=0 point is the starting point
wane: -105 is start
winston: -100 is start

wane started deeper
so the true statements are
Wayne ascends at a faster speeds
Wayne was deeper when he began ascending

7 0

3 years ago

Describe the leading coefficient,

Orlov [11]

It’s Negative below the lines the touching points do not meet

8 0

3 years ago

Suppose that the population P(t) of a country satisfies the differential equation dP/dt = kP (600 - P) with k constant. Its pop

jeka94

Answer:

The country's population for the year 2030 is 368.8 million.

Step-by-step explanation:

The differential equation is:

$\frac{dP}{dt}=kP(600 - P)\\\frac{dP}{P(600 - P)} =kdt$

Integrate the differential equation to determine the equation of P in terms of t as follows:

$\int\limits {\frac{1}{P(600-P)} } \, dP =k\int\limits {1} \, dt \\(\frac{1}{600} )[(\int\limits {\frac{1}{P} } \, dP) - (\int\limits {\frac{}{600-P} } \, dP)]=k\int\limits {1} \, dt\\\ln P-\ln (600-P)=600kt+C\\\ln (\frac{P}{600-P} )=600kt+C\\\frac{P}{600-P} = Ce^{600kt}$

At t = 0 the value of P is 300 million.

Determine the value of constant C as follows:

$\frac{P}{600-P} = Ce^{600kt}\\\frac{300}{600-300}=Ce^{600\times0\times k}\\\frac{1}{300} =C\times1\\C=\frac{1}{300}$

It is provided that the population growth rate is 1 million per year.

Then for the year 1961, the population is: P (1) = 301

Then $\frac{dP}{dt}=1$ .

Determine k as follows:

$\frac{dP}{dt}=kP(600 - P)\\1=k\times300(600-300)\\k=\frac{1}{90000}$

For the year 2030, P (2030) = P (70).

Determine the value of P (70) as follows:

$\frac{P(70)}{600-P(70)} = \frac{1}{300} e^{\frac{600\times 70}{90000}}\\\frac{P(70)}{600-P(70)} =1.595\\P(70)=957-1.595P(70)\\2.595P(70)=957\\P(70)=368.786$

Thus, the country's population for the year 2030 is 368.8 million.

3 0

4 years ago

For any number the polynomial x ^ 2 - c ^ 2 can be factored as

ivann1987 [24]

Answer:

(x + c) (x - c)

Step-by-step explanation:

For any number the polynomial $x ^ 2 - c ^ 2$ can be factored as (x + c) (x - c)

4 0

3 years ago

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