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2 years ago

5x-2=6x-8 what’s the answer

Mathematics

2 answers:

fomenos2 years ago

8 0

Answer:

x=6

Step-by-step explanation:

5x = 30

30 - 2 = 28

6x= 36

36 - 8 = 28

28 = 28

professor190 [17]2 years ago

4 0

Answer:

Step-by-step explanation:

Subtract 5x from6x. To get 1x then subtract -2 from -8 to get -6

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Lucy had four and four fifths cups of flour and used two and one half cups to make a banana bread. How many cups of flour does L

kipiarov [429]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown

kiruha [24]

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) is

$(x_{M},y_{M}) = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ $x_{1}$ = -15 and $x_{2}$ = x

∴ $y_{1}$ = 13 and $y_{2}$ = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ $x_{M}$ = -24 and $y_{M}$ = 15

→ Use the rule of the mid-point to find x and y

∵ $-24=\frac{-15+x}{2}$

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

∴ -33 = x

∵ $15=\frac{13+y}{2}$

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

∴ 17 = y

∴ The other endpoint is (-33, 17)

5 0

3 years ago

A football team received 3 penalties for 15 yards each, 1 for5 yards, and1 for half the distance to the goal from the 34- yard l

Effectus [21]

The first penalty they received is three 15 yards so total yards is 3(15 yards)
the second penalty is one 5 yard
the last penalty is half the 34 yard line(34 yard)/2
total change = 3(15 yards) + 5 yrad + (34 yard)/2
= 45 yards + 5 yards + 17 yards= 67yards

7 0

3 years ago

A hot air balloon hovers 75 feet above the ground. The balloon is tethered to the ground

DIA [1.3K]

Angle of elevation is 37°

<u>Step-by-step explanation:</u>

As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,

sin θ = opp/ hyp

= 75/125

= 0.6

θ = sin⁻¹ (0.6) = 36.9°≈ 37°

So angle of elevation is 37°.

3 0

3 years ago

The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i

Julli [10]

Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

$P(n)=-5n^2+400n-6000$

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

$\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}$

Solve the resulting quadratic equation above

$\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}$

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

4 0

1 year ago