Y=5x-6
Solve for x
Algebra 1

Answer:

Option c. 3 inches

Step-by-step explanation:

Volume=27 inches³

By applying the volume formula of cube, we get

L³=27 inches³

L³=(3 inches)³

Hence the cube cancels the opposite side's cube

L=3 inches

Answer:

yes figures have the same perimeter

Step-by-step explanation:

The opposite sides of the rectangle are equal , then

perimeter = 2(x + 4) + 2x = 2x + 8 + 2x = 4x + 8

The square has 4 equal sides , then

perimeter = 4(x + 2) = 4x + 8

Then the figures have the same perimeter

Step-by-step explanation:

-4^(-5)/ 2^(-3) =

2³/(-4)^5 =

8/(-1024) =

- 1/128 (d)

Answer:

B. Because statistics can be applied to every field of study

Answer:

because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)

so we have:

[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]

=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]

With P(x) = 0

=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]

=> ........

Step-by-step explanation:

Answer:

2W + 56 = 78 , W = 10

Step-by-step explanation:

perimeter of rectangle = 2*the Length + 2*the Width

Answer:

55

Step-by-step explanation:

20 * 3 = 60

60 marks - 5 Incorrect answer (5 marks deducted)

55 Marks

Answer:

6

Step-by-step explanation:

[tex]12 \times 1 \frac{1}{2} [/tex]

[tex]12 \times \frac{1}{2} [/tex]

[tex] = 6[/tex]

Step-by-step explanation:

[tex]8 {x}^{3} - 5 {x}^{2} + x + 2 \div {x}^{2} [/tex]

[tex]8 {x}^{3} - 5 {x}^{2} + x + \frac{2}{ {x}^{2} } [/tex]

[tex] = \frac{8 {x}^{5} - 5 {x}^{4} + {x}^{3} + 2}{ {x}^{2} } [/tex]

Answer:

x = 20

y = 26

Step-by-step explanation:

40 and 2x are vertical angles, so they're equal to each other.

40 = 2x

Divide both sides by 2

x = 20

We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.

5y + 10 + 40 = 180

5y + 50 = 180

5y = 130

y = 26

Answer:

It is -80

Step-by-step explanation:

u just subtract

Answer:

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

240÷8days=30

30×12days=360

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Answer:

Step-by-step explanation:

i dont know  but work hard

Answer:

Step-by-step explanation:

Please see the picture below

Answer:

3/5

Step-by-step explanation:

1.) Find the Greatest Common Factor of 6/10.

2

2.) Divide both the numerator and the denominator by the greatest common factor.

6÷2

10÷2

3.) Simplify 6÷2/10÷2

3/5

Answer:

2400.036 or 4.875 × 10^5

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

[tex]y = - 9x \\ theny = 2x + 33 \\ - 9x = 2x + 33 \\ - 9x - 2x = 33 \\ - 11x = 33 \\ x = \frac{ - 33}{11} = - 3 \\ x = - 3 \\

then\\ y=-9×-3=21\\ thank \: you[/tex]

Answer:

X = 111°

I hope it's helps you

Answer:

Sara has enough money to buy all three items because after the sale and tax, the total of all three items is less than $100 at only $93.01.

Step-by-step explanation:

Solve for the sale:

43.98 × 0.25

10.995

38.59 × 0.25

9.6475

31.99 × 0.25

7.9975

Add these all together:

10.995 + 9.6475 + 7.9975

28.64

Subtract this amount from the original cost of all the items:

(43.98 + 38.59 + 31.99) - 28.64

114.56 - 28.64

85.92

Solve for the sales tax:

85.92 × 0.0825

7.0884

Add the sales tax to the total:

85.92 + 7.0884

93.0084

Round up to the nearest cent:

93.01

93.01 < 100

9514 1404 393

Answer:

  7/8 in  (you are correct)

Step-by-step explanation:

The amount of nail that goes into the framing member is ...

  1 3/4 -3/8 -1/2

  = 1 6/8 -3/8 -4/8

  = 1 -1/8 = 7/8 . . . . inches

Answer:

m∠5= 130°

Explanation:

If lines A and B are parallel we can assume that the angles in the same locations are equal

Answer:

130 is the answer

Step-by-step explanation:

Well it's definitely obtuse (look at the photo)

I hope I helped!

I hope you get the green tick.

Please mark Brainliest if you do!

Hello!

We know that mike can bind 109 flowers per hour.

Lets create an equation to remember this.

Mikes equation:

109x = y

<x is representing per hour in this math problem>

We know that John can bind 116 flowers per hour, here is his equation.

Johns equation:

116x = y

Question: If they work together for 5 hours, how many flowers  can they bind?

First, plug in the number five in both equations.

Second, solve the equation by multiplying.

Mikes:

109(5) = y

109 times 5 is 545

y = 545

Johns:

116(5) = y

116 times 5 is 580

y = 580

We want to know how many flowers can they bind if they work together.

This means we need to add the answers of the equations from both mike's and john's together.

545 + 580 = 1,125

The answer is 1,125

Answer:

9 minutes

Step-by-step explanation:

We can write a proportion to solve

5 gallons     15 gallons

-------------- = ---------------

3 minutes         x minutes

Using cross products

5x = 3*15

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

Answer:

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