For each diagram below, write and solve an equation.

Answer:

4640933300 people would have died  from AIDS in 2006.

Step-by-step explanation:

Let the equation that models the growth in mortality because of AIDS be,

[tex]A_n=A_0(1+r)^n[/tex]

Where [tex]A_n[/tex] = Number of deaths after n years

[tex]A_0[/tex] = Deaths in first year

(1 + r) = Growth factor

n = number of years

Now we substitute the values in the equation,

[tex]A_0=1800[/tex]

(1 + r) = 1.9

n = Number of years = 2006 - 1983 = 23 years

[tex]A_n=1800(1.9)^{23}[/tex]

     = 1800(2578296.28)

     = 4640933300

Therefore, with the same death rate 4640933300 people would have died  from AIDS in 2006.

Step-by-step explanation:

$4200 - $50

= $4150

4150 divided by 45 = 92.222.......

92.222 is approximately 93

So you can purchase 92/93 tickets in total

Since tickets are physical things, I dont think you can approximate it but that's my answer

The maximum amount of adult tickets they can purchase are 92.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are tickets at an amusement park that are $25 for children and $45 for adults. The Jones family has 4200 cash and they have two children.

Assume that they could purchase [n] number of adult tickets.

Cash remaining for adult tickets = 4200 - 2(25)

The total number of adult tickets that can be buyed are calculated as follows -

45n = 4200 - 2(25)

45n = 4200 - 50

45n = 4150

n = 4150/45

n = 92 (exact value)

Therefore, the maximum amount of adult tickets they can purchase are 92.

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Answer:

Mr. Sims drove 320 miles.

Step-by-step explanation:

c = 50 + 0.40m

178 = 50 + 0.40m

128 = 0.40m

m = 320

Answer:

Step-by-step explanation:

1+2/3m+2=2+1/6

We move all terms to the left:

1+2/3m+2-(2+1/6)=0

Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R

We add all the numbers together, and all the variables

2/3m+1+2-(1/6+2)=0

We add all the numbers together, and all the variables

2/3m+3-(1/6+2)=0

We get rid of parentheses

2/3m+3-2-1/6=0

We calculate fractions

There is no solution for this equation

Answer: m = 1/10

Step-by-step explanation:

1 2/3m + 2 = 2 1/6

Firstly, subtract 2 from both sides to get m alone:

1 2/3m = 1/6

Now, to get m alone, divide both sides by 1 2/3:

m = 1/10

Hope this helps!

Answer:   72

Step-by-step explanation:  i multiplied 18 and 4 and that gave me 72

hopefully im not wrong let me know if i am

Answer:

5 and half packet of seeds or 5.5 which is 6 packets

Step-by-step explanation:

12 / 4 = 3

he can plant 3 plants with 1 seed packet

which means he needs 5 packets and half

the answer is 6

Answer:

Yes.

RS ≅ PS

QS ≅ QS

Step-by-step explanation:

The Hypotenuse-Leg Congruence Theorem states that when the hypotenuse and one leg of a Right-angled triangle are congruent to that of another Right-angled triangle, the two Right-angled triangles are therefore congruent.

In the diagram given, the hypotenuse (RS) and a leg (QS), of ∆RQS is congruent to the hypotenuse (PS) and a leg (QS) of ∆PQS. Therefore, ∆PQS is congruent to ∆RQS by HL Congruence Theorem.

Yes, PQS congruent to RQS by HL is true statement according to the diagram.

Hence :

RS ≅ PS

QS ≅ QS

Step-by-step explanation:

Given information:

The hypotenuse RS and PS

And leg QS.

Hypotenuse-Leg (HL) theorem:

The H-L theorem states that If, the hypotenuse and one leg of a Right-angle triangle are congruent to that of another right angle triangle then the given two right angled triangle will be congruent.

As, we can see in the given diagram the hypotenuse (RS) and the leg (QS) of triangle ΔRQS is congruent to hypotenuse (PS) and leg (QS) of triangle ΔPQS.

Hence , we can say that the ΔPQS is congruent to ΔRQS by H-L Congruent theorem.

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Answer:

m∠6 = 115°

Step-by-step explanation:

Answer:  the  y-intercept is -7

Step-by-step explanation:  Rewrite the equation in slopr intercept form and simplify:

2x-5y=35   Subtract 2x from both sides

-5y = -2x + 35    Divide both sides by -5 to isolate y

y = 2x/5 -7

Answer:

4(x+1)

Step-by-step explanation:

Factor 2x+3+2x+1

4x+4

=4(x+1)

Answer:

here's your answer

please mark me as brainliest

Answer:

Step-by-step explanation:

Meeee

Answer:

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                       f(x) = a(x - h)² + k

the vertex is (7, -4)  ⇒   h = 7,  k = -4

so:

     f(x) = a(x - 7)² + (-4)

    f(x) = a(x - 7)² - 4

The parabola goes through the point (5, 8) ⇒   x=5,  f(x)=8

8 = a(5 - 7)²  - 4

8 = a(-2)²  - 4

+4           +4

12  = 4a

÷4       ÷4

a = 3

It means the equation of the parabola in vertex form:

                               f(x) = 3(x - 7)² - 4

Answer:

C=24

Step-by-step explanations:

Answer:

its a

Step-by-step explanation:boo

Answer: it’s $9 per pound

Step-by-step explanation:

Answer:34.7

Step-by-step explanation:

h/ 13 = 2/0.75

h= 2 • 13 / 0.75

34.7 m (rounded)

Tree is 34.7m tall.

In similar triangle, shape is same but size is varing. So the ratio of corresponding sides are also equal.

So according to asked question,

Let height of the tree =h

The triangle formed by the tree and its shadow is similar with the triangle formd by the the trangle formed by the lamppost and its shadow.

So, according to the propoties of the similar triangle

a₁/a₂=b₁/b₂

h/x=2m/75cm

⇒h/13=2/(3/4)

⇒h/13=2*4/3=8/3

⇒h=8*13/3=34.666≅34.7m

Therefore tree is 34.7m tall.

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Answer:

Mary increased both assets and liabilities.

Step-by-step explanation:

The midpoint of the two points is (8 , 11.5)

The distance between (7,7) and (19,16) is 15

Answer:

1.80

2.Overestimate.

Step-by-step explanation:

Answer:

Sorry I'm late

Step-by-step explanation:

Answer: 12, 18, 24

Step-by-step explanation:

Answer:

slope is 1

Step-by-step explanation:

Hope this helps

Answer:

It's a guess.

1 known

2 cancelled.

Hope this helps!

And I am sorry if it doesn't

Answer:

Part A: [tex].50x+120 = .70x+80[/tex]

Part B: [tex]200[/tex] miles

Step-by-step explanation:

So to start, we need to put this information into slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex]  where [tex]m[/tex] represents the slope of a line and [tex]b[/tex] represents the y-intercept. In this question [tex]y[/tex] represents the total cost of the rental, [tex]x[/tex] represents the number of miles driven, [tex]m[/tex] represents the price per mile, and [tex]b[/tex] represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.

Since we know that company A charges $125 a day and $0.50 per mile we would have [tex]y=.50x+120[/tex]

Since we know that company B charges $80 a day and $0.70 per mile we would have [tex]y=.70x+80[/tex]

Now that we have two equations we can move onto the next step. We're looking to know the number of miles ([tex]x[/tex]) that would make the total cost ([tex]y[/tex]) equal. To do this we can make the equations equal each other since we know that [tex]y[/tex] will be the same.

Written out, the equation will look like this: [tex].50x+120 = .70x+80[/tex]

Now, we are trying to find [tex]x[/tex] so we need to isolate the variable.

To start we need to put [tex]x[/tex] on the same side so we'll subtract [tex].70x[/tex] from both sides to get  [tex]-.20x+120=80[/tex]

Next, we'll subtract [tex]120[/tex] from both sides of the equation to get [tex]-.20x=-40[/tex]

Finally, we'll divide both sides by [tex]-.20[/tex] to get [tex]x=200[/tex]

This means that at [tex]200[/tex] miles, both companies will cost the same amount.

See picture for math work and answer.

Answer:

(-4,1)

Step-by-step explanation:

change the sign of the x value to a negative

(-1,3)

add 3 to the x value since it's horizontal

(-4.3)

subtract 2 from the y value, since it's vertical

(-4,1)

hope this helps.

Step-by-step explanation:

If the lake's level rose 4 inches and in June it rose 2 more inches, the total amount of distance that he rose is (4+2).

Also if the lake's level fell 5 inches in July and 3 more inches in August as a result of no rain, then the total amount of fall will be (5+3).

Change in height of the lake = total rise in distance - Total fall in distance

Change in height of the lake = (4+2) - (5+3) = (5+3) - (4+2) {commutative law}

open the parenthesis

(4+2) - (5+3)= 4+2-5-3 (note that minus times plus will give minus)

Hence the expressions that best describe this situation are;

1.  (4+2) - (5+3)

2. (5+3)-(4+2)

3. (4+2) - 5 -3

Answer:

I'd assume the last one but I don't know exactly what the graph is measuring

Step-by-step explanation:

Both squares are 50% = 100% in total.

1 square= 50%

1/2 of a square= 25%

50+25= 75% I think i'm pretty sure that's the answer.

Answer:

75%

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] divide 3 by 4 = 0.75

Finally, multiply by 100 =75

75% is the answer.

choose the 8th arrow and put it on 1

Answer:

I attached an image of what you should do.

Step-by-step explanation:

Look at the photo and grab that pointer and put it on 1.

Answer: 6x^2+3x

Step-by-step explanation:

Answer:

6, 6/1, 6:1

Step-by-step explanation:

Plz mark Brainliest

Answer:

- 2

Step-by-step explanation:

Step 1:

- 7b - 3 = - 3b + 5           Equation

Step 2:

- 3 = 4b + 5        Add 7b on both sides

Step 3:

- 8 = 4b         Subtract 5 on both sides

Step 4:

b = - 8 ÷ 4        Divide

Answer:

b = - 2

Hope This Helps :)