Find the length of the missing leg in the following triangle

Answer:

A=750 +75*t

B=900 +25*t

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Step-by-step explanation:

You know that High School A currently has 750 students  and is projected to grow by 75 students each year.   With A being the number of students in High School A in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

A=750 +75*t

You know that High School B currently has 900 students  and is projected to grow by 25 students each year.   With B being the number of students in High School B in t years, this number will be the number of students it has initially added to the number of students who have joined after t years. This is represented by:

B=900 +25*t

You want to determine how many students there would be in each high school in the year that they are projected to have the same number of students. That is, in year t the number of students is the same, so

A = B

750 +75*t=900 + 25*t

Solving:

75*t -25*t= 900 - 750

50*t= 150

[tex]t=\frac{150}{50}[/tex]

t=3

This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:

A=750 +75*t= 750 +75*3= 975

B=900 + 25*t=900 + 25*3= 975

There would be 975 students in each high school in year 3 when they are expected to have the same number of students.

Answer: REAL ANSWER

A= 75t +750

B=25t +900

Answer: 975 students

Answer:

940,000

Step-by-step explanation:

Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense

Answer:

x = 5

Step-by-step explanation:

a || b and a line intersecting them is their transversal.

[tex] \therefore m\angle 1=m\angle 5\\(corresponding \:\angle 's) \\\\

\therefore 60 - 2x = 70 - 4x\\\\

\therefore 4x - 2x = 70 - 60\\\\

\therefore 2x = 10\\\\

\therefore x =\frac{10}{2} \\\\

\huge \orange {\boxed {\therefore x = 5}}[/tex]

Answer:

Confusing! Where r the instructions?

Step-by-step explanation:

Step-by-step explanation:

Let the cost of the less expensive comic book be x .

Then :-

[tex]1284 - 11x = x[/tex]

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

[tex]1284 - 11x = x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = \frac{1284}{12} [/tex]

[tex]x = 107[/tex]

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

Cost of the more expensive book = 11x

Which means :-

[tex]1284 - x = 11x[/tex]

[tex]11x + x = 1284[/tex]

[tex]12x = 1284[/tex]

[tex]x = 107[/tex]

[tex]11x = 11 \times 107[/tex]

[tex] = 1177[/tex]

Therefore , the price of the more expensive book = $ 1177 .

Answer:

a=60

b=85

c=35

Step-by-step explanation:

a is shown to be 60 in the text along with c being 85 with its angle so just add 60 and 85 to get 145 and fill in the remaining to get 180 which gives you c as 35

Answer:

80

Step-by-step explanation:

do: 49+31=Your answer

Ellie had 80 peanuts before she ate 49 of them.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of peanuts Ellie had before she ate 49 of them.

After eating 49 peanuts, Ellie has 31 peanuts left, so we can write an equation:

x - 49 = 31

To solve for x, we add 49 to both sides of the equation:

x - 49 + 49 = 31 + 49

Simplifying, we get:

x = 80

Therefore, Ellie had 80 peanuts before she ate 49 of them.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

26

Step-by-step explanation:

Given that :

2 out of every 5 people buys vanilla ice cream;

If Total number of ice cream sold in a day = 65 ; how many will be vanilla ;

Probability of purchasing vanilla ; p(vanilla) = 2/5 = 0.4

Hence, expected number who bought vanilla :

p(vanilla) * total number of icecream sold

0.4 * 65 = 26

Hence, about 26 of the 65 icecream sold are vanilla flavor.

Answer:

A. 4

Step-by-step explanation:

1      1  2  -3  3

           1   3  0

       1   3  0  3

Bring down the first coefficient, 1 and multiply it to 1 and that will be 1

Put the result below 2 and add 2 and 1, that would be 3

Multiply 3 and 1, that would be 3. Put it below -3.

Add -3 and 3 that would be 0.

Multiply 0 and 1, that would be 0. Put 0 below 3.

Add 3 and 0 then that would be 3.

Since the final result is 3, the remainder is 3.

(Sorry for the mistake earlier ;-;)

Answer:

A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

Step-by-step explanation:

Answer:

A. (4x56)+(3x56)=r

B. 56x(4+3)=r

E. (7x56)=r

Step-by-step explanation:

Kira used 392 yards of ribbon.

Answer:

In step by step explanation

Step-by-step explanation:

a) Normal distribution N( 0, 1 )

If the sample size is equal n = 16 we have to use t-student distribution since     n < 30.

In the case n = 36 we should use normal distribution (z tables)

b) We can´t use the  standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 in the first case n < 30 .

We can calculate that  probability in the case of the second sample

Answer:

The equation x + y = z relates the whole numbers.

Hopefully, this helps! :D

Ask your question below!

Answer:

a)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

b)

v = 6 -2t  = 0  --> t = 3

v = 2t-6  = 0   --> t = 3

v = 2t -9   = 0 --> t = 9/2

Step-by-step explanation:

si s(t) es la distancia, la velocidad es la primera derivada v(t) = s'(t)

y la acceleracion es la segunda derivada : a(t)= v'(t) = s''(t)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

Answer:=================================================

Step-by-step explanation:

the first one

Answer:

========================================================================================================================================

Step-by-step explanation:

it's the equal sign

Answer:

Use a calculator solved :)))

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

3x+2=9x+20

3x-9x=20-2

-6x=18

X=-3

Answer:

y = 50

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

Multiply 4 to both sides of the equation:

y/4 = 12.5

(y/4)(4) = (12.5)(4)

y = 12.5 * 4

y = 50

y = 50 is your answer.

~

Answer:

0.4435

Step-by-step explanation:

Given that :

X is normally distributed:

mean(m) = 1,000

standard deviation (s) = 250

probability that X lies between 800 and 1,100?

Using the relation :

X = 800

Zscore = (x - m) / s

Zscore = (800 - 1000) / 250

Zscore = - 200 / 250

Zscore = - 0.8

P(Z ≤ - 0.8) = 0.2119

X = 1100

Zscore = (x - m) / s

Zscore = (1100 - 1000) / 250

Zscore = 100 / 250

Zscore = 0.4

P(Z ≤ 0.4) = 0.6554

P(Z ≤ 0.4) - P(Z ≤ - 0.8)

0.6554 - 0.2119

= 0.4435

Answer:

I really think that (3 , -3 , -3) is the answer but I could be wrong.

Step-by-step explanation:

I'm taking the quiz right now and from the graph it looks like point E is in the position (3 , -3 , -3).

Once again, sorry if I'm wrong.

Answer:2.088

Step-by-step explanation:

2.088

Answer: The required probability = 0.8926

Step-by-step explanation:

Given: [tex]\mu=975\text{ lbs}[/tex],  [tex]\sigma= 52\text{ lbs}[/tex]

Let x = weight of horse stable.

Sample size : n= 31

Then, the probability that the mean weight of the sample of horses would differ from the population mean by less than 15 will be:

[tex]P(-15<P(\overline{x}-\mu)<15)=P(\dfrac{-15}{\dfrac{52}{\sqrt{31}}}<\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{15}{\dfrac{52}{\sqrt{31}}})\\\\=P(-1.61<z<1.61)\ \ \ [z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=2(z<1.61)-1\ \ \ [P(-z<Z<z)=2(Z<z)-1]\\\\=2( 0.9463)-1\\\\=0.8926[/tex]

Hence, the required probability = 0.8926

Answer:

is leo has d dollars then dale has 2d + 3 dollars

Step-by-step explanation:

dale has twice the amount and three extra dollars.

so 2 x d is 2d

2d + 3

Answer:

The answer is below

Step-by-step explanation:

The electrical resistance R of a wire varies inversely with the square of its diameter d:

R ∝ 1 / d

Let k represent the constant of proportionality, hence we can represent the statement as an equation:

[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]

Answer:

(g-f)(x)

Step-by-step explanation:

You have to subtract expenses from revenue and multiply by yarn to equal profit

Answer:

I want to say 2.5

Step-by-step explanation:

Answer:

[tex] y = \frac{2}{3}x - 6 [/tex]

Step-by-step explanation:

Recall that the the equation of a line in slope-intercept form is given as [tex] y = mx + b [/tex].

m = the slope of the line

b = the y-intercept. This is the point at which the line intercepts the y-axis.

We are given:

slope (m) = ⅖

y-intercept (b) = -6

All you need to do to get an equation of the line is to simply substitute m = ⅔ and b = -6 into [tex] y = mx + b [/tex].

[tex] y = \frac{2}{3}x + (-6) [/tex]

[tex] y = \frac{2}{3}x - 6 [/tex]

The equation for the line is .[tex] y = \frac{2}{3}x - 6 [/tex]