Rachel is 10 years older than her sister, Renee. In six years from now, the sum of their ages will be 40. How old is each girl?
(Systems of Equations Word Problem)

Answer:

You accedently put Mathematics I think you meant Social Studies haha

Step-by-step explanation:

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

  __

3| 10

We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

   _0_

3 | 10

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

 _0_

3 | 10

    0

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

 ___

3 | 10

- 0

__

1

Move the second digit of the dividend (0) down like so:

 __0_

3 | 10

 - 0

-----------

10

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

 __03_

3 | 10

- 0

___

10

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

 _03_

3 | 10

- 0

__

10

 9

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

  __03_

3 | 10

- 0

__

10

-9

_

1

Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:

Answer:

you can do a trial and improvement

Step-by-step explanation:

[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]

write it in web and then u will find the answer in a calculator

The solution is Option A.

The scale factor of the blueprint is given by the equation 1 inch = 3 feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A blueprint has a scale of 4 inches = 12 feet

So , the value of equation A is

4 inches = 12 feet

Divide by 4 on both sides of the equation , we get

4 inches / 4 = 12 feet / 4

On simplifying the equation , we get

1 inch = 3 feet

Therefore , the value of A is 1 inch = 3 feet

Hence , the scale factor of the blueprint is 1 inch = 3 feet

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Answer:

22.5

Step-by-step explanation:

Answer:

Pronator??

Step-by-step explanation:

Answer:

Ignorance and Want

Step-by-step explanation:

Igorance and Want symbolizes the poor in the 19th century. PS: I hope this helps

Answer:

The boy is ignorance and the girl is want, in my opinion (you may have a different take on this) they symbolize the poor. Throughout the novella, we have seen the good side of the poor through the Cratchints who work hard day in day out, and now Dickens is wanting to show how malnourished the poor really is. It can also show how Dickens is saying that if the government doesn't act and help out the poor as well as everyone else, this is what the future for the poor will look like, malnourished and uneducated. It is showing us the consequences of being basically abandoned from society in general, abandoned by the education system, and again, I think that Dickens here is trying to show the consequences of the abandonment of the poor and how the government and the rich should change their ways to stop that from happening by being kind and charitable ect.

Answer:

A wheel completes a rotation when it moves 360 degrees. The descriptions of the graph are: The Ferris wheel will rotate 4 times.

Step-by-step explanation:

but what graph

The Ferris wheel makes 4 rotations.

The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom

[tex]35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}[/tex]

Answer:

95% of Grade 6 pupils graduated

Answer:

95% of Grade 6 Pupils Graduated

Step-by-step explanation:

Express the Statement Mathematically:

Add Percentage

By Division

Then, Multiply

Answer:

94.6-18.8=75.8

75.8 is the answer

Step-by-step explanation:

Hope this helps

May i get braineist pls?

Answer:

12

Step-by-step explanation:

1/12x1/x

1x=12x1

x=12

Answer:

12 twelfths make a whole.

Step-by-step explanation:

when the numerator and the denominator of a fraction are the same, they always equal one. 12/12 would simply to one, just like 3/3 or 200/200.

I hope this helps

Answer:

None of these

Step-by-step explanation:

None of these are correct because you would need to multiply 5 x 10 to a certain power. 5.55621 x 10 to the 8th power would do it.

Answer: I believe D is correct

Step-by-step explanation:

Answer:

  (a) P = 3000·1.15^t

  (b) 12,137

Step-by-step explanation:

The equation gets filled in so it looks like ...

  P = (initial amount) × (1 +growth rate)^t

where t is in units compatible with the growth rate.

  P = 3000·1.15^t

__

Midnight is 10 hours later than 2 p.m., so the quantity will be ...

  P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137

There will be 12,137 bacteria at midnight.

Answer:

n = 11

Step-by-step explanation:

n+5=2n-6

you add 6 on both sides and you get

n+11=2n

you then subtract n on both sides and get

11=n

Step-by-step explanation:

n+5 = 2n - 6 -> Original equation

5 = n - 6 -> Take n away from both sides

11 = n -> Add 6 to both sides

n = 11 -> Final answer

*Remember, we are trying to get n by using inverse operations.

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

Answer:

The roots are 1 and 3.

k = 3.

Step- by-step explanation:

We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and  α β = c/a.

The roots are written as  α and α+2, then:

α + α + 2 = -(-4)

2α + 2 = 4

α + 1 = 2

α = 1

also

α (α + 2) = k

Substituting for α:

1(1 + 2) = k

k = 3.

The roots are 1 and 1 + 2 = 3.

Answer:

Step-by-step explanation:

Garage A = 7+3t

Garage B = 4+4t

Garage A = 7+6

Garage B = 4+8

B = Cheaper

Answer:

A = 3t + 7, B = 4t + 4, B is cheaper

Step-by-step explanation:

A = 3(2) + 7 = 6 + 7 = 13

B = 4(2) + 4 = 8 + 4 = 12

Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Answer:

381.(3) [km.]

Step-by-step explanation:

if according to the condition distance=286 [km] per 3 hours, then it is possible to make up the equation:

[tex]\frac{286}{3}=\frac{d}{4};[/tex]

and to calculate required distance 'd':

[tex]d=\frac{286*4}{3}=381.(3)[km].[/tex]

Using it's formula, it is found that the displacement between t= 0  and t = 1 second is of 0 m.

The equation of motion is given by:

[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]

The displacement between t= 0  and t = 1 second is given by:

[tex]d = x(1) - x(0)[/tex]

Hence:

[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]

[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]

Then:

[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]

The displacement is of 0 m.

You can learn more about displacement at https://brainly.com/question/248054

Answer:

Step-by-step explanation:

Essentially, we can use the pythagorean rule that:

a^2+b^2=c^2

c^2 resembles the hypotenuse, which is almost always the largest number. therefore, we simply have to find two which equal the largest side:

9^2+40^2=41^2

81+1600=1681

1681=1681

Based on this math, A is our right angle!

Hope this helps!

Answer:

Step-by-step explanation:

When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"

Group together two terms, watch out for the negative signs!

x^3 + 2x^2-5x-10=0

(x^3 + 2x^2) - (5x+10)=0

Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.

x^2(x+2)-5(x+2)=0

Now you can factor out that (x+2) because it is both terms.

x^2(x + 2) - 5(x + 2)=0

~~~~ ~~~~

Pull these out.

What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)

(x + 2)(x^2 - 5) = 0

If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.

x = -2 and x = +- sqrt5

Yes?? i dont understand the question that much

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

Answer:

  A) 1: linear; 2: exponential (see equations in part B)

  B) the value of 2 will be almost 15% greater

Step-by-step explanation:

As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.

The table values for Option 1 have a common difference of (1200 -1100) = 100.

The table values for Option 2 have a common ratio of (1210/1100) = 1.10.

Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.

Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.

__

The investment values after 7 years will be ...

  Option 1: f(7) = 100(7) +1000 = 1700

  Option 2: g(7) = 1000(1.1^7) ≈ 1948.72

The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)

Answer:

Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units

Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units

Skills required: HS Geo, Special Triangles

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].

4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is

[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!

5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit

Answers:

There are infinitely many other possible answers.

===================================================

Explanation:

The [tex]\frac{3}{3}[/tex] simplifies to 1. Dividing any nonzero number over itself always leads to 1.

So the equation [tex]y = \frac{3}{3}x+6[/tex] simplifies to [tex]y = x+6[/tex]

To determine y, we add 6 to x.

Pick 3 random values you want for x.

Let's say we picked x = 0

y = x+6

y = 0+6

y = 6

So x = 0 leads to y = 6

-----------

If you tried something like x = 2, then,

y = x+6

y = 2+6

y = 8

So (2,8) is another point on the line

-----------

Lastly, let's try a negative number. Let's go for x = -10

y = x+6

y = -10+6

y = -4

The input x = -10 gives the output y = -4

There isn't any restriction on x, so you can use any number you want. Therefore, there are infinitely many possible answers.