Write the expanded form of 4(0.25a + b - 6).

For this case we have the following system of equations:

We multiply the second equation by -3:

Thus, we observe that the second equation is equivalent to the first, if we add both we get:

The equality is fulfilled. The lines are on top of each other.

Answer:

Infinite solutions

Answer:

increasing

Step-by-step explanation:

its increasing because it goes back up at a fast rate

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:

4+12x

Step-by-step explanation:

basically just adding and subtracting

The expression which is equivalent to -6((-2/3) + 2x) is; 4 - 12x.

The given expression is;

Hence, upon expansion and elimination of the parenthesis;.

Hence, the equivalent expression is; 4 - 12x.

Read more on equivalent expressions;

https://brainly.com/question/11258067

Answer:

15.18

Step-by-step explanation:

Divide $83.49 by 5.5

Answer:

$15.18 a day

Step-by-step explanation:Divide $83.49 by 5.5. You get 15.18. To check this, multiply 5.5 and 15.18 and you should get 83.49. Hope this helped

Answer:

$169803

Step-by-step explanation:

Given data

rate of decrease = 5.4%

time = 2009-2021= 12years

P=  $331,000

Let us apply the compound interest formula

A=P(1-r)^t----------------note the minus sign because this is a decrease

A= 331000(1-0.054)^12

A= 331000(0.946)^12

A= 331000*0.513

A=$169803

Hence the value in 2021 is $169803

Answer: Number equals 7

Step-by-step explanation:

4x+3x=5x+14

7x=5x+14

-5x  -5x

2x=14

x=7

Answer:

"Chilling in a Quiet Park Outside the City" by Cat Paw.

Step-by-step explanation:

Explanation:

The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.

Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.

Answer:

I think m is the length of ABCD Square

Answer:

874

Step-by-step explanation:

The length of j from the given triangle JKL is 550 cm.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.

Using cosine rule

j²=k²+l²-2kl.cosJ

j²=430²+590²-2×430×590·cos117°

j²=184900+348100-507400×0.4539

j²=533000-230308.86

j²=302691.14

j=√302691.14

j=550 cm

Therefore, the length of j from the given triangle JKL is 550 cm.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

Answer:

no, h=7

Step-by-step explanation:

9+9h = 10h+2

9=h+2

7=h

Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

Answer:

4 12/18, simplified is 4 6/9

Step-by-step explanation:

You change the fractions to improper fractions so 10 1/2 to 21/2 and 2 1/4 to 9/4. Since we can't divide, we change 9/4 to 4/9 and multiply. 21 times 4 is 84 and 2 times 9  is 18.  Since that is an improper fraction, we have to change it to a mixed number. 18 can go into 84 4 times, and 18 x 4 is 72. 84 minus 72 is 12 so the final answer is 4 12/18 (simplified 4 6/9)

Hope this helps :)

Answer:

idontkn oww  atyou rsayin g

h

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

.....

-0.9, -4/5, -7/10, -1/2, -1/4

Answer:

The answer is -0.9, -4/5, -7/10, -1/2, -1/4.

Step-by-step explanation:

-4/5 = -0.80

-7/10 = -0.7

-1/2 = -0.5

-1/4 = -0.25

Yes.

8/16 is 1/2 of 16/16

Answer:

[tex] \frac{dy}{dx} = - 1 \frac{5}{9} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

☆ [tex]\frac{1}{x} = x^{ - 1} [/tex]

Answer:

I think it is 1

Step-by-step explanation:

I am sorry if it is not correct

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

Answer:

True

Step-by-step explanation:

opposite is irrational number

Answer:

1/6 of the movie

Step-by-step explanation:

Answer:

Step-by-step explanation:

cos o = adjacent side /hypothenuse = OQ / PO

x=12

hope this helps :))

Answer:

x = 12

Step-by-step explanation:

subtract 12 from the 26 and you get 14 so x = 12

Answer:

128

Step-by-step explanation:

Let's start by figuring out the last side of the triangle

we can use the pathagoryous theroem and get

11.9²+x²=16.9²

Solve this and get x=12

Let's now compute the area of the triangle

b*h*.5

12*11.9*.5=71.4

So 71.4 is the area of the triangle

we now need to find the area of the semi circle.

to do this we are going to find the area and then divide it by 2

We know that the length is equal to 12 which means that the radius is 6

so we have

π6²/2

which is 56.55

We add the 71.4+56.55= 127.94 which rounds to 128

Answer:

212.758

Step-by-step explanation:

Find the semi-circle first, the diameter is 16.9 ft.

To find area:

Formula:

pi x radius x radius x 1/2

16.9 ÷ 2 = 8.45 (radius)

22/7 x 8.45 x 8.45 = 224.407 (Circle)

224.407 ÷ 2 = 112.203 (Semi circle)

Find the triangle:

1/2 x base x height or length x base x height

But for now, we will use the first one.

1/2 x 16.9 x 11.9 = 100.555

Now add them up.

100.555 + 112.203 = 212.758

(I don't know what units you to put for your answer since I don't learn American mathematics, so it's up to you)