Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Kevin now?

Answers

Answer 1

Answer: Let k and d be the Kevin's age and the Daniel's age;
We have the equation:
k = 3 + d;
k - 2 = 4( d - 2 );
We have 3 + d - 2 = 4d - 8;
Then, d + 1 = 4d - 8;
9 = 3d;
d = 3.
Finally, k = 6 years.

Answer 2

Answer:

Answer:

answer in the photo

Step-by-step explanation:

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What's 5hundreds5tens×10 in unit form

Answers

5hundreds and 5 tens is 550, so let say it like:

550x10

we know that when you multiply anything times ten you just add a zero to the end of the number, like this:

550x10=5,500

hope I helped ya!

Today, the Great Pyramid at Giza near Cairo, Egypt stands 137 meters tall, coming to a point.Its base is a square with each side measuring 230 meters wide. What is the slope of the pyramid?

Answers

Hope you can see the picture and understand the drawings.

It can seem complex at first but you just have to think it through.

I use pythagoras' theorem to find the diagonal of the base square and then use that information along with the height with the aid of that ever so handy pythagoras' theorem to find the length of the slope.

What is the solution of the linear equation -12+3b - 1 = -5 - b

Answers

Answer:

The solution of the given linear equation is 2.

Step-by-step explanation:

$-12+3b - 1 = -5 - b$

Step 1 :Take all the like terms on same side

$-12+5 - 1 = - b- 3b$

Step 2 :

$-8=-4b$

Step 3 :

$b=(-8)/(-4)=2$

The solution of the given linear equation is 2.

$- 12 + 3b - 1 = - 5 - b \n \n - 13 + 3b = - 5 - b \n \n - 8 = - 4b \n \n b = 2$

First, add both sides by 5 and then subtract both sides by 3b

Suppose Y varies directly as X, and y = 9 when x = 3/2. Find y when x = 1.

Answers

Answer: The required value of y is 6.

Step-by-step explanation: We are given that y varies directly as x and y = 9 when $x=(3)/(2).$

We are to find the value of y when x = 1.

According to the given information, we have

$y\propto x\n\n\Rightarrow y=k* x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of integration}]\n\n\Rightarrow y=kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

When y = 9 and $x=(3)/(2),$ we have from equation (i) that

$9=k*(3)/(2)\n\n\n\Rightarrow k=(18)/(3)\n\n\Rightarrow k=6.$

So, equation (i) becomes

$y=6x.$

Therefore, when x = 1, we get

$y=6*1=6.$

Thus, the required value of y is 6.

to vary directly is to be in proportion

y/x = y/x

9/(3/2) = y
9(2/3) = y
y = 6

After applying the distributive property on both sides of the equation, what is the next step?Solve -2(7 - 3x) = 4(-3x + 3)

A) Multiplication property of equality

B) Variables on both sides

C) Division property of equality

D) Combine like terms on the left side of the equation

Answers

Answer:

B) Variables on both sides

Step-by-step explanation:

Solving a Linear Equation

Some basic steps are needed to solve a linear equation. We must operate every multiplication or division by applying the correspondent distributive property. Then we must separate variables from constants, then we must collect like terms, and finally, we must isolate the variable by using the division property of equality.

In the example provided in the question, we have

Solve -2(7 - 3x) = 4(-3x + 3)

We apply the distributive property on both sides of the equation:

-14 + 6x = -12x + 12

Now we must see where are the variables in both sides of the equation and prepare to have them all in one side (usually the left side)

Answer: B) Variables on both sides

Note: The option doesn't clearly state what are we going to do with the variables on both sides, I assumed to observe and prepare the variables for the next step

What is the equation of the line that has slope -4 and passes through the point (-2,-5)

Answers

Answer:

y+5==4(x+2) this is point slope form

Step-by-step explanation:

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