Turner middle school has 110 buys. Fifty-six percent of the students are girls. How many students go to this school? Please help this is due tomorrow!!! And just tell me how to do it not the answer.

Answers

Answer 1
Answer: Find the percentage of boys:
100 - 56 = 44
Boys = 44%

110 = 44%

110 is 44% of what number? 
This number will be the total number of students.


To calculate it further, divide 110 by 0.44.

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A desert has both fruit and yoghurt insideAltogether the mass of the fruit and yoghurt is 175g
The ratio of the mass of the fruit to the mass of the yoghurt is 2:5
Which calculation will give the mass of the yoghurt?
175 divide 5 times 7 or 175 divide 7 times 5 or 175 divide 5 times 2 or 175 divide 7 times 2
What is the mass of the yoghurt (not the fruit and yoghurt - just the yoghurt, so it's not 175g)?

Answers

2\ (the\ mass\ of\ the\ fruit)\ :\ 5\ (the\ mass\ of\ the\ yoghurt)\n\n\ \ \ \Rightarrow\ \ \ (5)/(7) \ of\ the\ all\ mass\ is\ the\ mass\ of\ the\ yoghurt\n\n (5)/(7) \cdot 175\ g\ =5\cdot 25\ g=125\ g\n\nAns.\ 175\ divide\ 7\ times\ 5.\ \ The\ mass\ of\ the\ yoghurt\ is\ 125\ g.

The sum of 2 numbers is 76. 1/3 of the first number plus 1/2 of the second number is 34. What are the two numbers? What is the difference between the second number and first number?

Answers

Ok so we have 2 equations here...

x + y = 76
1/3x + 1/2y = 34

First solve for x in the 1st equation...

x + y = 76
x = 76 - y

Now substitute 76-y for x in the 2nd equation...

1/3x + 1/2y = 34
1/3(76-y) + 1/2y = 34
76/3 - 1/3y + 1/2y = 34
-1/3y + 1/2y = 34 - 76/3
-2/6y + 3/6y = 34 - 25 1/3
1/6y = 8 2/3
y = 8 2/3 ÷ 1/6
y = 8 2/3 × 6
y = 52

Now substitute 52 into the 1st equation for y

x + y = 76
x + 52 = 76
x = 76 - 52
x = 24

The 2 numbers are 24 and 52.

The difference between the numbers is
52 - 24 = 28
28 difference and the numbers are 13 and 12 121 21 212 12 55 65 545 46 54 6 5 6 6666666 777.0-0000000

Find the points where the line y = x - 1 intersects the circle x2 + y2 = 13

Answers

Answer:

\large \boxed{(-2,-3) \text{ and } (3, 2)}

Step-by-step explanation:

1. Solve the equations for x

\begin{array}{lrcll}(1) & y & = & x - 1 & \n(2) & x^(2) + y^(2) &= &13& \n& x^(2) + (x - 1)^(2) &= & 13& \text{Substituted (1) into (2)}\n& x^(2) + x^(2) -2x +1 & = & 13 & \text{Squared (x - 1)} \n&2x^(2) -2x +1 & = & 13 & \text{Combined like terms} \n\end{array}\n

\begin{array}{lrcll}&2x^(2) -2x - 12 & = & 0 & \text{Subtracted 13 from each side}\n&x^(2) - x - 6 & = & 0 & \text{Divided each side by 2}\n& (x - 3)(x + 2) & = & 0 & \text{Factored the left-hand side} \n& x - 3 = 0 & \text{or} & x + 2 = 0 & \text{Applied zero product rule} \n& \mathbf{x = 3} & \text{or} & \mathbf{x = -2} & \text{Solved each equation separately} \n\end{array}

2. Calculate the corresponding values of y

Insert the values into equation (1)

(a) x = 3

y = 3 - 1 = 2

One point of intersection is (3, 2).

(b) x = -2

y = -2 - 1 = -3

The second point of intersection is (-2, -3).

\text{The line intersects the circle at $\large \boxed{\mathbf{(-2,-3)} \text{ and } \mathbf{(3, 2)}}$}

The diagram shows the intersection of the two graphs.

Answer:

(-2,-3) and (3,2)

Step-by-step explanation:

sub in x-1 into y

x^2 + (x-1)^2 = 13

x^2 + (x-1)(x-1)=13

x^2 + x^2 -2x +1 = 13

2x^2 -2x-12=0

solve for x by factoring (quadratic formula, product sum etc..)

x= -2 and 3

plug in those values into y=x-1 and solve for y

Ashley has a square flower garden that has an area of 400 square yards. What is the length of one side?

Answers


√(400)  = 20 \: yards
The length is 20 square yeards

Find 1+ 2+ 3+ 4+ ... +50, the sum of the first 50 natural numbers.
The sum is

Answers

Step-by-step explanation:

First term(a) = 1

Common difference(d)=2-1=1

No.of term(n)=50

Sn=n÷2(n+1)=50÷2(50+1)=1275

The value of dollars, y, of a car x years after it was purchased can be modeled by the function y=14,000-875x

What is the meaning of the y-intercept of the linear model?

a) The initial value of the car is 14,000.
b) The average value of the car is 14,000.
c) The car’s value decreases by $875 each year after it was purchased.
d) The car’s value decreases by $16 each year after it was purchased.

Please help.

Answers

Answer:

Option a) The initial value of the car is 14,000

Step-by-step explanation:

we know that

The linear equation into slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this problem we have

y=14,000-875x

so

The slope is equal to m=-875(\$)/(year)

The y-intercept is b=\$14,000

therefore

\$14,000 is the value of the car for x=0  (initial value)