Which is the slope of the line that passes through the points (1 -4) and (3,−1)?
Slope = 5/4
Slope = 2/3
Slope = -3/2
Slope = 4/5

Answer:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].

Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]

So after 6 years the number of students in both high schools would be the same.

Answer:

d

Step-by-step explanation:

-4+5n=18+3n

step 1 add 4 to each side

5n=22+3n

step 2 subtract each side by 3n

2n=22

step 3 divide each side by 2

n=11

Answer:

y = 5

Step-by-step explanation:

Perpendicular means forming a 90 degree angle. In y=5, the line is horizontal and only touches (0,5). When compared to the y-axis, they intersect at 90 degrees so it is y = 5

Answer:

2nd one

Step-by-step explanation:

Answer:

5y=45 if y=9

Step-by-step explanation:

5y=45 if y=9

5(9)=45

45=45

Answer:

24 minutes

Step-by-step explanation:

25- 19.24= $5.76 used so....

$5.76/ 0.24cents = 24 minutes

Answer:

j = 61

Step-by-step explanation:

j - 18 = 61

Step One: Add your addend and your total together.

18 + 43 = 61

Step Two/Check: Subtract your original total with one of your original addend to get the second original addend you had before.

61 - 18 = 43

Answer:

j = 61

Answer:

8c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I just want to tell you what a term is because your going to really need it when you go into middle school. So a term is where there is a number or a a number with a variable with it or a variable by itself. For example if there is 4x + 6m + 3 + X you would have 4 terms because you have 4 numbers along with variables and a variable by itself and with some numbers which are Co -Efficient. Co-Efficient is when a number is with a variable the number along with the variable is called a Co-Efficient. Both of them together is called a term so now you know :) The whole equation is called an expression if a a number is by itself like 4 + 3m the 4 would be considered as a constant because its just a normal number standing by itself.

Answer:

7

Step-by-step explanation:

because if you subtract 180 and 210 do not subtract 18 and 210 because there is an answer for 180

Answer:

7 food orders in 21 minutes

Step-by-step explanation:

Well lets see. 15 food orders in 45 minutes. So, she can make 1 food order in 3 minutes. So times 7, she can make 7 food orders in 21 minutes.

Answer:

this is as test

Step-by-step explanation:

Answer:

this is hard i dont understand

Step-by-step explanation:

Step-by-step explanation:

The first important details are given at the start, where the beginning amount of snow is 12 inches. This is a positive number.

Then, the next sentences tell us that the snow melts at a pace of 2 inches for an x number of days.

This can be represented by -2x because the word "melts" indicates a negative value.

From this, the equation can be made :)

answer:

40°

step by step:

93°+47° (i think the circle at the bottom says 47)=140°

180° ( as the angles in a triangle must add up too 180°) - 140° = 40°

Step-by-step explanation:

[tex] \cos( \beta ) = \frac{5}{13} = 0.385[/tex]

Cos (B) in the right angled triangle is 5/13 .

Given,

Right angled triangle .

Now,

In right angled triangle

Perpendicular = 12

Base  = 5

Hypotenuse = 13

So,

According to trigonometric functions,

CosФ = base / hypotenuse

sinФ = perpendicular / hypotenuse

tanФ = perpendicular / base

So,

Substitute the value in the function of cos,

Cos(B) = base / hypotenuse

Cos(B) = 5 / 13

Thus the value of function cos (B) is 5/13 .

Know more about trigonometric functions,

https://brainly.com/question/25618616

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Answer:

64

Step-by-step explanation:

Answer:

5 (-9x)

Step-by-step explanation:

Product of 5

5 * ()

difference of 9

5 * (-9)

and a number

5 * (-9x)

Answer:

5(9 - x)

Step-by-step explanation:

The product of 2 numbers, is just multiplication

But in this expression, we are multiplying a number by the difference of two other numbers, hence why we should group 9 - x in parentheses.

Answer:

We found the factors and prime factorization of 7 and 14. The biggest common factor number is the GCF number. So the greatest common factor 7 and 14 is 7.

Step-by-step explanation:

The value of the Expression 7+ 14  using the GCF is 21.

The largest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor. One 2 and one 3 are shared by those aged 18 and 24. The GCF of 18 and 24 is 2 * 3 = 6, which we multiply to obtain.

Given:

We have to add 7  + 14

Factorise the terms separately

7 = 7 x 1

14 = 7 x 2

So, the Greatest Common Factor is 7.

Thus, 7+ 14 = 7(1+ 2) = 7 x 3= 21

Learn more about Greatest Common Factor here:

https://brainly.com/question/11221202

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Answer:

AB = 4.62    m∠A =  22°   m∠B = 68°

Step-by-step explanation:

Tan A = 1.7/4.3 = .39534...

m∠A = arctan .39534... ≅ 22°

m∠B = 90 - 22 = 68°

AB = [tex]\sqrt{1.7^{2} + 4.3^{2} } = \sqrt{2.89 + 18.49} = \sqrt{21.38} = 4.62[/tex]

Answer

3.- *in order* 4,8,   4 aka- 4/40- 1/10

                               40

5.- *in order* 3/5 x 3/7 = 9/35

Step-by-step explanation:

you have to simplify 4/40 wich is 1/10 and the rest s self explanitory. hope this helped!!

Answer:

438

Step-by-step explanation:

5,256 divided by 12 is 438

Answer:

This graph is Non linear

Answer:

1.24

Step-by-step explanation:

Answer:

1.24330900243

Step-by-step explanation:

I did the whole equation on paper

Correct Answer:

[tex]x^2 + 7x + 12[/tex]

Step-by-step explanation:

The error that was made, is that they accidentally added 3 and 4 together, during the distribution, when they should have multiplied it, leaving them with 7 instead of 12.

Answer:

0.88 (I think this is how Mrs. Futch wants it to be written)

Step-by-step explanation:

h=-16t^2+14t

(Substitute h with 0)

0=-16t^2+14t

(Factor)

0=2t(-8t+7)

2t=0               -8t+7=0

t=0                  t=0.88

{0, 0.88}

(John Komperda)