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Dafna11 [192]
3 years ago
15

A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substituti

on or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points) Source StylesNormal
Mathematics
2 answers:
Scrat [10]3 years ago
7 0

Answer:

Intersect/Solution at (1, -2)  

step by step

Equation 1: y = 3x - 5

Equation 2: y = 6x - 8

Step 1 Mutliply each side of equations one by -2

New Equation 1: -2y = -6x + 10

New Equation 2: y = 6x -8

Add the Equations: -y = +2

Multiply each side by -1 and you'll get that y = -2

Plug in -2 to either equation: -2 = 3x - 5

add 2 to each side 0 = 3x -3

add 3 to each side 3x = 3

divide by 3 and you'll get that x = 1

Step-by-step explanation:

kirill [66]3 years ago
3 0

Answer:

Intersect/Solution at (1, -2)

Step-by-step explanation:

Equation 1: y = 3x - 5

Equation 2: y = 6x - 8

Step 1 Mutliply each side of equations one by -2

New Equation 1: -2y = -6x + 10

New Equation 2: y = 6x -8

Add the Equations: -y = +2

Multiply each side by -1 and you'll get that y = -2

Plug in -2 to either equation: -2 = 3x - 5

add 2 to each side 0 = 3x -3

add 3 to each side 3x = 3

divide by 3 and you'll get that x = 1

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I need an equation with a variable on each side that equals 15
soldi70 [24.7K]

Answer:

2x + 5 = 3x

Step-by-step explanation:
In this equation, x = 5 and both sides equate to 15. Hope this helped!

4 0
3 years ago
Write ratio as fraction in simplest form 42 vanilla to 48 chocolate
DENIUS [597]

Answer: 7/8

Step-by-step explanation:

If the ratio is vanilla to chocolate, it would be

42:48

Dividing by 2

= 21:24

Dividing by 3

= 7:8

5 0
3 years ago
Read 2 more answers
A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the​ b
olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}

Volume of sphere is given by

V = \dfrac{4}{3}\pi r^3

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

Putting values, we get,

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0
3 years ago
a bag contains 5 grape tootsie pops and 8 chocolate tootsie pops. if juan pulls a chocolate tootsie pop out of the bag and eats
kipiarov [429]

Answer:

= 5 / 12

Step-by-step explanation:

Probability is an outcome of chance. It is a measure of outcomes of events.

To solve the probability of picking a Tootsie Pop, we must comfortably know the contents of the bag.

Number of GRAPE Tootsie pops = 5

Number of CHOCOLATE Tootsie pops= 8

Total number of Tootsie pops = The sum of both Tootsie pops

Total number = 5 + 8

= 13.

Let's note that tge question said , Juan pulls a chocolate Tootsie Pop and eats. The implication is it has reduced the total number of Tootsie Pops left in the bag.

Therefore:

The probability that the next pop he pulls out will be grape will be

Probability (Grape) = 5 / (13 -1)

= 5 / 12

The probability that the next Pop he pulls out will be a grape = 5/12

4 0
3 years ago
Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.
ss7ja [257]

Answer:

114

Step-by-step explanation:

To find - Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.

Proof -

The 2 digit number is 11

170 = 11(15) + 5

The two digit number is 15

170 = 15(11) + 5

The two digit number is 33

170 = 33(5) + 5

The two digit number is 55

170 = 55(3) + 5

∴ we get

The two digit numbers are

11, 15, 33, 55

Their sum is equals to

11 + 15 + 33 + 55 = 114

3 0
3 years ago
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