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Greeley [361]

$\large\displaystyle\text{$\begin{gathered}\sf \frac{2x-20}{3}=2x \end{gathered}$}$

Multiply both sides of the equation by 3.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20=6x \end{gathered}$}$

Subtract 6x on both sides.

$\large\displaystyle\text{$\begin{gathered}\sf 2x-20-6x=0 \end{gathered}$}$

Combine 2x and −6x to get −4x.

$\large\displaystyle\text{$\begin{gathered}\sf -4x-20=0 \end{gathered}$}$

Add 20 to both sides. Any value plus zero results in its same value.

$\large\displaystyle\text{$\begin{gathered}\sf -4x=20 \end{gathered}$}$

Divide both sides by −4.

$\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{-4} \end{gathered}$}$

Divide 20 by −4 to get −5.

$\large\displaystyle\text{$\begin{gathered}\sf x=-5 \ \ \to \ \ \ Answer \end{gathered}$}$

<h2>{ Pisces04 }</h2>

5 0

2 years ago

Read 2 more answers

Write an equation of the line that passes through (2 , 0) and is perpendicular to the line y=-1/7x-3

aleksley [76]

Answer:

y = 7x - 14

Step-by-step explanation:

If the given line has slope -1/7, then any perpendicular line has the slope which is the negative reciprocal of -1/7. That is +7.

Apply the slope-intercept formula for the equation of a straight line, using 0 for y, 2 for x and searching for the y-intercept value b:

0 = 7(2) + b. Then b = -14, and the desired equation is y = 7x - 14.

3 0

3 years ago

I will give Brainliest and five stars to correct answer

Oduvanchick [21]

A(n)=a(1)+d(n-1), d=a(16)-a(15)=-5-(-53)=48
a(15)=a(1)+d*(15-1),
-53=a(1)+48*(15-1),
a(1)=-53-48*14= -725
a(n)=-725+48(n-1)

8 0

3 years ago

The landing restuarant order 200 flowers for mother day.the orderd carnation at 1.50$,Rose's at 5.75$and the daisies at 2.60$ ea

Vanyuwa [196]

Answer:

She ordered 80 carnations, 50 roses, and 70 daisies.

Step-by-step explanation:

Let x = number of carnations, y = number of roses, and z = number of daisies. This problem gives us three equations.

First, remember that we multiply the price of each flower by the number bought then add up the subtotals, that gives the total amount paid.

Therefore,

1.50x + 5.75y + 2.60z = 589.50

Second, the sum of the numbers purchased is the total bought. Therefore,

x + y + z = 200

Finally, there are 20 fewer roses than daisies. Therefore,

y = z - 20

If you substitute z - 20 in for y in the first two equations, you can rewrite them so they only have x and z.

1.50x + 5.75(z - 20) + 2.60z = 589.50

1.50x + 5.75z - 115 + 2.60z = 589.50

1.50x + 8.35z = 704.50

x + (z - 20) + z = 200

x + 2z - 20 = 200

x + 2z = 220

If you solve the rewrite second equation for x, you get x = 220 - 2z. Therefore, you can substitute 220 - 2z in for x in the rewritten first equation, and then solve for z.

1.50 (220 - 2z) + 8.35z = 704.50

330 - 3z + 8.35z = 704.50

330 + 5.35z = 704.50

5.35z = 374.50

z = 70

If you have z = 70, then x = 220 - 2(70) = 80 and y = 70 - 20 = 50.

She ordered 80 carnations, 50 roses, and 70 daisies.

*HOPE THIS HELPED!!! :D)

4 0

4 years ago

Consider the vectors x=(1,2,3,4) and y=(4,2,4,5) in R4 . Find the angle between them.

Law Incorporation [45]

Answer:

Angle between the two vectors is 20.7718°.

Step-by-step explanation:

The given two vectors are x = (1,2,3,4) and y = (4,2,4,5)

Now the dot product between two vector is defined as

x.y = ║x║║y║cosθ

Now, x.y( dot product of x and y) = 1×4 + 2×2 + 3×4 + 4×5 = 40

║x║= $\sqrt{1+4+9+16}$ = $\sqrt{30}$

║y║= $\SQRT{16+4+16+25} = \sqrt{61}$ '

Thus, we get

40 = $\sqrt{30}$ × $\sqrt{61}$ ×Cos θ

Thus, Cos θ = $\frac{40}{\sqrt{30}\sqrt{61}}$

Cos θ = 0.935

θ = $Cos^{-1} (0.935)$

θ = 20.7718°

4 0

3 years ago