2a + 3b = 5
b = a - 5
What is a and b?

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Answer:

This what I got.

Hope it helps!

The solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The given equations are;

-2x-5y = -47........(i)

4x-2y = -2

We can simply it, and write;

2x-y = -1

y = 2x+1.....(ii)

Put equation (ii) in (i)

-2x-5(2x+1) = -47

-2x-10x-5 = -47

-12x = -42

x = 7/2

Put value of x in eq (ii)

y = 2(7/2)+1

y = 8

Therefore, the solution of main equation is (7/2, 8)

Solving the other three equations,

1) -14x+y = -41

or, y = -41+14x......(i)

2) 4x-2y = -2

or, 2x-y = -1

y = 2x+1....(ii)

Solving the equations,  

2x+1 = -41+14x

12x = 42

x = 7/2

Put x = 7/2, in (ii)

y = 8

Therefore, the solution is (7/2, 8)

We get the solution of main equation is equal to this system of equation.

2) -2x-5y = -47......(i)

6x+3y = 45

or, 2x+y = 15.......(ii)

Solving the equation by elimination,

-4y = -32

y = 8

Put y = 8 in equation (ii)

2x+8 = 15

x = 7/2

Therefore, the solution is (7/2, 8)

Again, we get the solution of main equation is equal to this system of equation.

3) -2x-5y = -47.........(i)

8x-5y = -8.......(ii)

Solving the equations by elimination,

-10x = -39

x = 39/10

Since, value of x is not same as the value of x in main equation, that means, both the system of the equation do not have same solution.

Hence, we get that, the solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.

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Answer:

b) 8 feet

Step-by-step explanation:

5+3=8

So, the answer will be 8

The third length must be 3 feet.

a plane figure with three straight sides and three angles.

If you are referring to a triangle with known side lengths of 3 and 5, then all we can say about the length of the third side is that it must be more than 3 and less than 5:

If you imagine the two sides (lengths 3 and 5) are the hands of a clock, if the time is 12:00 with both the hands on top of each other, then the distance between the two points of the hands is 5–3 or 2 units, that is the shortest distance between the two endpoints of our clock hands. So the third side of the triangle must be more than 2 units long.

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Answer:

A) [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters

Step-by-step explanation:

The formula for finding the volume of a cone is [tex]V=\frac{1}{3}\pi r^{2} h[/tex] where [tex]V[/tex], [tex]r[/tex], and [tex]h[/tex] are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is [tex]\frac{12}{2}=6[/tex] m. Now, we know that [tex]r=6[/tex] and [tex]h=7[/tex], so plugging these values into the equation, we get:

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

[tex]= \frac{1}{3} \pi *6^{2} *7[/tex] (Substitute given values into equation)

[tex]=\frac{1}{3}\pi *36*7\\=84\pi[/tex] (Simplify)

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], we know that [tex]84\pi =84*3.14=263.76[/tex]. Therefore, the volume of the cone is [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters. Hope this helps!

Answer:

A

Step-by-step explanation:

A proportional relationship is basically just a pattern between numbers.

Hence the correct option is A

Answer: x=6

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

65÷5, 3×2.

13x2+26

Answer:

[tex]AB= \frac{97}{3}[/tex]

Step-by-step explanation:

Properties of Rhombus

We are given two sides of the rhombus BC and CD. According to the first property:

4x + 15 = 7x + 2

Subtracting 4x:

15 = 3x + 2

Subtracting 2:

13 = 3x

Dividing by 3:

[tex]x=\frac{13}{3}[/tex]

It's required to find the side AB. Applying the first property again:

AB= BC = CD = 4x + 15

[tex]AB =4*\frac{13}{3}+15[/tex]

[tex]AB= \frac{52}{3}+15[/tex]

[tex]AB= \frac{97}{3}[/tex]

Answer: hahahah don't

Step-by-step explanation:

Answer:

Linear graphs have straight line so (B,C)

NON LINEAR GRAPHS DON'T HAVE STRAIGHT LINE (A,D)

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Answer:

B is linear

Hope it helps

Answer:

a) 3 b) y = 3x + 11

Step-by-step explanation:

a)

In order to find the gradient (slope), find the change in y or change in x (rise/run).

-2 - 2 / 7 - (-5)

-2 - 2 / 7 + 5

-4/12 = -1/3

Now that we know the gradient of line AB is -1/3, take the opposite reciprocal of that to find the gradient perpendicular to line AB.

-1/3 ⇒ 3

b)

Take point C's values and the perpendicular gradient found earlier and substitute them into the point-slope form equation.

y - 5 = 3(x - (-2))

y - 5 = 3(x + 2)

y - 5 = 3x + 6

y = 3x + 11

Answer:

Yes.

Step-by-step explanation:

First, draw a vertical line. Then check the interception between the graph and a vertical line.

If the line intercepts the graph only one point, then it is a function. Otherwise, it is not. That includes two or more.

The graph shown in the picture is a function (Cubic Function).

Answer:

The first one is (-4,3) The second one is (-1,3)

2,284 divided by 3,what is the remainder??

2,284÷3=761 and remainer=1

Answer:

761 R1

Step-by-step explanation:

Answer:B 26

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Area of a triangle = ½×base×height

Base=12

Height=23

Area=½×12×23

=1×6×23

=138cm²

12 can be divided exactly by 2 that's why we have 6.

Answer:

I believe it's A.

Step-by-step explanation:

She can kinda pick whatever, she wants, but i hope i answered properly

Arrow2Mania<3

Answer:

x > - 4

Step-by-step explanation:

Given

x > [tex]\frac{5x-12}{8}[/tex]

Multiply both sides by 8 to clear the fraction

8x > 5x - 12 ( subtract 5x from both sides )

3x > - 12 ( divide both sides by 3 )

x > - 4

Answer:

20 cents

Step-by-step explanation:

12 divided by 2.40

Answer:

15/20    16/20    <

Step-by-step explanation:

First, make a common denominator for both, which is 20. So, 3/4 = 15/20. Then 4/5= 16/20. 15/20 < 16/20, so 3/4 < 4/5.

5.33 F  is the average change in temperature per hour.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.

Since there is a Sum change in temperature in 3 hours

From the formula of average:

Average change = total change/ time taken

in our case

Total change = 69 - 53

Total change = 16 F

Total time taken = 11 - 8

Total time taken = 3

Thus Average = 16/3

Average = 5.3333

Therefore, the average change in temperature per hour is 5.33 F.

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Answer:

-3

Step-by-step explanation:

{2/3 × 0} -3

{0} -3

0-3 = -3

Answer:

no to low he ran 1144 miles in 11 years