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Papessa [141]
3 years ago
12

20 points please help!

Mathematics
2 answers:
yanalaym [24]3 years ago
7 0
Lets label hot dogs as 'h' and soft drinks as 's'

6h + 4s = 13 (Equation 1)
3h + 4s = 8.50 (Equation 2)

We can solve by process of elimination.

Subtract equation 1 from equation 2.

We get:

3h = 4.5
h = 1.5

So that means that the hot dog costs $1.50 which is answer choice D.
BaLLatris [955]3 years ago
7 0
Lets label hot dogs as 'h' and soft drinks as 'd'

6h + 4d = 13
3h + 4d = 8.50

We can solve by process of elimination.

Subtract the first equation from the second one.

We get:

3h = 4.5

Solve for h

h = 1.5

That means that the hot dog costs $1.50 which is answer choice D.

Hope that helps :)
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Choose the correct simplification of (7x^3y^3)^2. (5 points) 100 POINTS GIVING BRAINLIEST FOR GOOD EXPLANATION
In-s [12.5K]

Answer:

Option C

Step-by-step explanation:

(7x^3y^3)^2

= (7)^2 * (x^3)^2 * (y^3)^2

= 49 * x^(3*2) * y^(3*2)

= 49x^6y^6

You have to distribute the terms in "7x^3 * y^3" each to the power of 2

(7)^2 * (x^3)^2 * (y^3)^2

Now you can apply the rule "(x^a)^b = x^a*b" and further simplify the expression

4 0
3 years ago
Read 2 more answers
Classify each system of equations as having a single solution, no solution, or infinite solutions.
mina [271]
To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10
y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

 Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form. 

x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3 

2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions. 

Now the third one. We do the same steps. 

5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
 
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again. 

x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5

4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions. 

Now the fifth one. 

3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4

-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9

Since these equations are completely different, there is a single solution. 

Last one!

x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5

5x = 12 - y becomes
y = -5x +12

Since these equations are completely different, this system has a single solution. 
8 0
3 years ago
PLZ I NEED HELP NOW THANKS
xeze [42]

Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

7 0
3 years ago
The number p and 2/3 are additive inverses.
Tpy6a [65]

Answer:

<u>The label “Sum” is located at </u><u>0</u>

<u>The label “p” is located between </u><u>0 and -1 (-2/3)</u>

<u>The label “2/3” is located between </u><u>0 and 1</u>

4 0
3 years ago
WILL GIVE BRAINLIEST!!!!!!!!!!!!!! Select the points that are solutions to the system of inequalities. Select all that apply
liq [111]
Hello there!

the solutions to this system of inequalities are every point in the blue area. In order to figure out if each of those choices are solutions, just graph the points, and if they are in the blue, they are solutions.

Using this method, you get A and C as your answers because they are in the blue region.


I really hope this helps!
Best wishes :)
5 0
3 years ago
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