Consider the system of liner equations 2y=X+10
3y=3x+15

To find the slope, we must know the equation

 --> \(slope = \frac{y2-y1}{x2-x1}\\\)

Now using the information given, (-2,1) and (2,6), let's plug that into the equation

--> \(slope = \frac{6-1}{2--2} = \frac{5}{4}\)

In this case, the slope is 5/4

Hope that helped!

Answer:

\(\rn\hookrightarrow 5/4\)

Step-by-step explanation:

\(Solution,\\\\Let,\\(x_1,y_1)=(-2,1)\\\\(x_2,y_2)=(2,6)\\\\Now,\\\\\rn\hookrightarrow Slope=\frac{y_2-y_1}{x_2-x_1}\\\\\rn\hookrightarrow Slope=\frac{6-1}{2-(-2)} \\\\\rn\hookrightarrow Slope=\frac{5}{4}\)

Answer:

2.211 gallon of rainwater

Step-by-step explanation:

1.46 gallon + 0.751 gallon = 2.211 gallon

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = \(\frac{1}{2}\) ( RS - RT ) = \(\frac{1}{2}\) × (84 - 60)° = \(\frac{1}{2}\) × 24° = 12°

(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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Answer:

i need that answer to :(

Step-by-step explanation:

Answer:

Children=21 Adult=35

Step-by-step explanation:

[using c for children tickets and a for adult tickets]

56=c+a and 203=3c+4a [starting system of equations]

a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]

203=3c+224-4c [simplify]

-21=-c [simplify 2.0]

c=21 [simplify 3.0]

56=21+a [plugging back into org. eq.]

so a=35

Answer:

mb bn  nn b

Step-by-step explanation:

bn nm  m n bn

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

4

Step-by-step explanation:

Factorizing we get the answer 4

The probability of those that favors building the health center is 0.196

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorem will be used as follows :

= 0.196

Hence, The probability is 0.196

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Step-by-step explanation:

62 + 7h is already an algebraic expression.

Answer:

Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.

9514 1404 393

Answer:

  see attached

Answer:

Answer = 2.528

Step-by-step explanation:

(3/4)*-2/(4/5)*-3*(3/5)*-2

firstly convert the negative powers into positive:(4/3)*2/(5/4)*3*(5/3)*2

so it will be as:(16/9)/(64/125)*(25/9)

for making it easy make reciprocal of the second and change division into multiplication :(16/9*64/125)----16*64=1024 and 9*125=1125

divide both number now---->0.190

now multiply that with:0.190*25/9

Then gets you the answer.

Answer:

\(15\)

Step-by-step explanation:

\(3\frac{3}{4}\div\frac{2}{8}\)

Turn the mixed number into an improper fraction

\(\frac{15}{4} \div\frac{2}{8}\)

keep change flip

\(\frac{15}{4} *\frac{8}{2}\)

cancel with GCF

\(\frac{15}{1} *\frac{2}{2}\)

simplify

\(15*1\)

solve

\(15\)

===========================================================

Reason:

This graph passes the vertical line test, so it is a function.

The vertical line test is where we try to pass a single vertical line through more than one point on the curve. If such a thing is possible, then we say the curve fails the vertical line test and it's not a function.

Graph D for instance can have a vertical line through x = 1 and intersect the curve at (1,4) and (1,-4) simultaneously. The input x = 1 leads to multiple outputs (y = 4 and y = -4). Graph D fails the vertical line test for this very reason, and it is not a function. Graphs A and B are similar stories. Any vertical line itself is automatically not a function.

To have a function, any x input in the domain must lead to exactly one and only one y output in the range.

---------

Notice with graph C it is impossible to have a single vertical line intersect more than one point on the curve. So this is why graph C passes the vertical line test. Each input leads to exactly one output.

Answer:

Step-by-step explanation:

\(\frac{x}{11}=\frac{7}{17}\\\\\mathrm{Multiply\:both\:sides\:by\:}11\\\\\frac{11x}{11}=\frac{7\cdot \:11}{17}\\\\\mathrm{Simplify\:}\frac{11x}{11}:\quad x\\\\\mathrm{Simplify\:}\frac{7\cdot \:11}{17}:\quad \frac{77}{17}\\\\x=\frac{77}{17}\)

Answer:

B

Step-by-step explanation:

because B is 8/20 and it's not equivalent to 40/100

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

Answer:

B

Step-by-step explanation:

The opposite of x is -x

And the opposite of -6 is 6

So -x+6 is the inverse

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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Answer:

C

Step-by-step explanation:

32% of 12 =

32/100 x 12

= 3.84

So, C would be the correct choice

I wasn't sure about my answer so used the Gauthmath App

Answer:

I think it's B

Step-by-step explanation:

Just thinking

Answer: 44 degrees

Step-by-step explanation: 59+77+x=180

x=44

Answer:

4 17/100

Step-by-step explanation:

This is because 5 inches = 0.417 in decimals, and you would multiply 5 inches by 10 to get 5.5. You also multiply 0.417 by 10 and then turn that number into a fraction which is 4 17/100.

A) For the y-intercept. The cost of the rental fee at 0hour is $100.

B)  The rate of the price of the hall with respect to the time is 66.7 dollars/hour

The y-intercept of the graph is the point where the line cuts the y axis. From the graph, we can see that the line cuts the y-axis at y = 100

This means that the cost of rental fee at 0 hour is $100.

To get the slope of the graph, we will use the coordinate point (0,100) and (3,300)

\(Slope =\frac{300-100}{3-0}\\Slope = \frac{200}{3}\\Slope = 66.7\)

This shows that the rate of price of the hall with respect to the time is 66.7 dollars/hour

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