Fredy and his friends went to a basketball game. Fredy decided to buy refreshments for everyone. He bought hot dogs, which cost $5
each and sodas, which cost $2 each. He spent a total of $33. Which algebraic equation could be used to represent the number of hot dogs, h, and the number of sodas, s, that Fredy had bought?


A. 2h+5s = 33
B. 7(h+5)= 33
C. 5h+ 25 = 33
D. h+s=33

Answer:

i believe this is the distriputive property

Step-by-step explanation:

hope this helpss

Answer:

y=-3/2x+3

Good luck:)

The answer is x >1 7

Answer:

The measure of angle RST is 80

Step-by-step explanation:

Since they are vertical angles, then they must be equal as vertically opposite angles are equal

Thus;

5b + 20 = 7b - 4

7b - 5b = 20 + 4

2b = 24

b = 24/2

b = 12

But RST = 5b + 20

substitute for b

RST = 5(12) + 20

RST = 60 + 20

RST = 80

Answer:

The rocket is at 40 feet after 7.77 seconds.

Step-by-step explanation:

[tex]h(t) = -16t^{2} + 128t + 12\\40= -16t^{2} + 128t + 12\\16t^{2} - 128t + 28 = 0\\4(4t^{2} - 32t + 7) = 0\\[/tex]

We use the quadratic formula to solve for t.

[tex]t=\frac{32+\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32+\sqrt{1024-112} }{8}\\t=\frac{32+\sqrt{912} }{8}\\t=4+\frac{\sqrt{57} }{2}\\t=\frac{32-\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32-\sqrt{1024-112} }{8}\\t=\frac{32-\sqrt{912} }{8}\\t=4-\frac{\sqrt{57} }{2}[/tex]

We take the positive answer which is 7.77

Answer:

11,059

Step-by-step explanation:

If you take the combined elevation (18,152) and subtract the elevation of Snowy Mountain (7,093), you should get 11,059.

Answer:

I believe 3966

Step-by-step explanation:

18152-7093=11059

11059-7093=3966

Answer:

y=2

Step-by-step explanation:

Distribute the 2 into 3y and -6:

6y-12=0

Move the -12 to the other side by adding both sides by 12:

6y-12+12=0+12

=

6y=12

divide both sides by 6:

y=2

Answer:

20,000

Step-by-step explanation:

5,000 x 2 = 10,000

10,000 x 2 = 20,000

Step-by-step explanation:

So this is the way I would look at this like, you could say that since it doubles by x2 every 12 years by 24 years it would or could be 200,00 since you have doubled once already from 50,000 to 100,000 on the 12 years your gonna multiple that by 2 as well since you have reached your year mark.

that's personally the way I would look at it but I'm sure other people will ne able to help aswell or change mine.

Answer:

Step-by-step explanation:

I realize that the time is passed.... but FYI

BD is Geometric Mean

That's mean BD² = 6 × 5 = 30 ⇒ BD = √30

x² = BD² + 6² = 30 + 36 = 66 ⇒ x = √66

y = √55

Answer: 66

Step-by-step explanation:

ΔADC and ΔABD are similar (AAA)

Therefore the cooresponging sides are in proportion: AD/AC = AB/AD

Answer:

The missing length is 64

Step-by-step explanation:

In the given figure

∵ The triangle is a right triangle

∵ There is a line drawn from the right angle ⊥ to the hypotenuse

→ There is a relation between the side of length 60, the part of the

   length 36,  and the length of the hypotenuse

∵ The length of the hypotenuse = x + 36

∴ (60)² = 36 × (x + 36)

→ Multiply the bracket by 36

∴ 3600 = 36(x) + 36(36)

∴ 3600 = 36x + 1296

→ Subtract 1296 from both sides

∵ 3600 - 1296 = 36x + 1296 - 1296

∴ 2304 = 36x

→ Divide both sides by 36 to find x

∴ 64 = x

∴ The missing length is 64

Answer:

A. P = n × $105 - $5,250

B. Please find attached the required graph

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The profit from selling 43 backpacks = -$735

Step-by-step explanation:

A. The given parameters are;

The setup cost = $5,250

The assembly cost = $54/backpack

The revenue = $159/backpack

Let n represent the number of backpack produced

Therefore, we have;

Profit, P = $ 159 × n - $54 × n - $5,250

P = n × ($ 159 - $54) - $5,250 = n × $105 - $5,250

P = n × $105 - $5,250

B. Please fins attached the graph of the profit function, created with Microsoft Excel

The domain for a range of revenue of $30,000 to $4,000 is given as follows;

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The amount of profit from selling 43 bags = P(43) = 43 × $105 - $5,250 = -$735

Answer:

300+200

Step-by-step explanation:

did not give a equation

Answer:

300 + 200x

Step-by-step explanation:

200 is the one that's changing so it has the x.

Answer:

The point is (8,2)

Step-by-step explanation:

Is this a square or rectangle or rhombus, etc.? Yes, because all the lines are all parallel.

Are AB and FG are parallel to each other right? Yes, so that means whatever you do to F will happen to G and we can start on A, it goes 6 down, then two to the right.

Since all lines are parallel how many steps we do on A to get F, we have to do to B to get G. So, (8,2).

Hope this helps!

Answer:

if oq or and os are bisectors then MN is 40, also it is a perpendicular angle so it would also be 40

Step-by-step explanation:

Answer:

A'B'C' = A'(8,-3) B'(8,-6) C'(2,-6)

Step-by-step explanation:

Hope this helps you.

Answer:

Abc=e A

Step-by-step explanation:

someone explained

Answer:

(1,4.5)

([tex]\frac{5+(-3)}{2} ,\frac{3+6}{2}[/tex])

5 + 2x ≤ 27 is the answer

Answer:

la tabla no esta, asi que busque la pregunta por interenet y encontre lo siguiente:

medida de los clavos         equivalencia en

en pulgadas                       centimetros                  

1 pulgada                                      2.54 cms

¹/₂  pulgada                                   2.54 x 0.5 = 1.27 cms

³/₄  pulgada                                  2.54 x 0.75 = 1.905 cms

¹/₈  pulgada                                  2.54 x 0.125 = 0.3175 cms

3¹/₂  pulgadas                              2.54 x 3.5 = 8.89 cms

Answer:

2 hours and thirty minutes

Step-by-step explanation:

3+2=5

5/2=2.5

Answer:

$125,500

Step-by-step explanation:

Make "x" equal the selling price of the house

7% of x is the commission --->

.07 * x = 8785

x= 8785/ .07

x= 125500

Answer: Yes, and the numbers are 4, 36, and 9

Step-by-step explanation:

Yes, because it x=4, y=36, and z=9 then 4 * 36=144, 144=12*12 4*9=36, 36=6*6, and 9*36=324, 324=18*18. As you can see they are all perfect squares and 4, 36, and 9 are all perfect sqaures too.

Answer:

15 dollars an hour

Step-by-step explanation:

480/32=15

Answer:

Sophia Earned $15

Step-by-step explanation:

All you have to do is divide the amount she earned by the hours she worked to see how much money she earned per hour, then you get $15 dollars per hour.

Answer:

domain and the range

Step-by-step explanation:

Answer:

Part A- 3

Part B- 5

Step-by-step explanation:

Answer:

Part A: 3

Part B: 5y

step explanation:

Answer:

The median side measures 92 yards

Step-by-step explanation:

Let's call x, y, and z the measures of the sides of the triangle.

The ratios between them are:

[tex]\displaystyle \frac{x}{y}=\frac{4}{7}[/tex]

[tex]\displaystyle \frac{x}{z}=\frac{4}{2}=2[/tex]

The first ratio gives the relation:

[tex]\displaystyle y=\frac{7x}{4}[/tex]

The second ratio can be solved for z:

[tex]\displaystyle z=\frac{x}{2}[/tex]

Since the perimeter is 299 yards:

[tex]x+y+z=299[/tex]

Substituting the above relations:

[tex]\displaystyle x+\frac{7x}{4}+\frac{x}{2}=299[/tex]

Multiplying by 4:

[tex]4x + 7x+2x=1196[/tex]

Joining like terms:

[tex]13x=1196[/tex]

Dividing by 13:

[tex]x=1196/13[/tex]

x=92

Now calculate y:

[tex]\displaystyle y=\frac{7\cdot 92}{4}[/tex]

y = 161

[tex]\displaystyle z=\frac{92}{2}[/tex]

z=46

The median side measures 92 yards

Answer:

5+10d=x The dogs he walks are the ind variable and the total money he earns is the dep variable

Step-by-step explanation:

If he earns five dollars a week then that is a confirmed amount which means it’s just $5. Then for every dog he walks that’s $10 so if he walks 0 dogs then he gets $0.

The dogs he walks is ind because this variable is the variable that changes and effects the total whereas, the dep is the total because that’s what changes depending on the ind variable

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

Answer: 7

Step-by-step explanation: If they equal each other, then that must mean that the exponents equal. Therefore, we can draw out the conclusion that x+2=9, which is x=7