Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?

Answers

Answer 1
Kevin's age = 24
Daniel's age = 8

One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:

or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:

x, y = variable
In the statement of the task:
Kevin is 3 times as old as Daniel.
Let Kevin = K, Daniel = D
then the age comparison :
K = 3D ⇒ equation 1
4 years ago, Kevin was 5 times as old as Daniel
then the equation becomes
K-4 = 5 (D-4)
K-4 = 5D-20
K = 5D-16 ⇒ equation 2
Both of these equations are equations that have 2 variables, so the solution can be used in 3 ways:
1. graph system
the solution is the intersection point of the two equations / lines.
2. substitution
the solution is we change one variable into another variable form of an equation, then substitutes that variable in another equation
3. elimination
the solution is to eliminate one variable from the equation system.
to determine the variable x we ​​eliminate the variable y first, or vice versa.
We use the second method: substitution


Answer 2
kev= 24 years old
dan = 8 years old

Related Questions

2) (19,8) (3,4)
Find the slope?

Answers

Answer:

1/4

Step-by-step explanation:

the equation for slope is  (y2 - y1) / (x2 - x1)

so the equation is (4-8)/(3-19)

= -4/-16

= 4/16

= 1/4, therefore, the slope is 1/4 or 0.25 as a decimal

$85 Restaurant Bill; 15% Tip

Answers

Answer:

97.75

Step-by-step explanation:

15% of 85 is  12.75

12.75 + 85 = 97.75

Hope this helps have a nice day

What is the solution to the equation?
8v - 4(v + 8) = 8
O v = 2
O v = 10
ng
v=4
o
v=-4

Answers

Answer:

v =10

Step-by-step explanation:

8v - 4(v + 8) = 8

Distribute

8v -4v -32 = 8

Combine like terms

4v -32 = 8

Add 32 to each side

4v -32+32 =8+32

4v = 40

Divide by 4

4v/4 = 40/4

v =10

Answer:

v = 10

Step-by-step explanation:

Expand 8v - 4(v + 8) = 8 and then combine like terms:

8v - 4v - 32 = 8, or

4v = 40

Then v = 40/4, or v = 10

Write an expression that represents the height of a tree that began at 6 feet and increases by 2 feet each year. Let y represent the number of years.

Answers

Answer:x=2y+6

Step-by-step explanation:

Really weird that y is the number of years but ok

if x -1/7,evaluate x²+1/x²​

Answers

Answer:

[tex]given \: x = - \frac{1}{7} [/tex]

[tex]x {}^{2} + \frac{1}{x {}^{2} } [/tex]

[tex]( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } [/tex]

[tex] \frac{1}{49} + \frac{1}{ \frac{1}{49} } [/tex]

[tex] \frac{1}{49} + \frac{1 \times 49}{1} [/tex]

[tex] \frac{1}{49} + 49[/tex]

[tex] \frac{2402}{49} \: or \: 49.02[/tex]

Simplify each pair of solutions as much as possible. Identify each pair of numbers as RATIONAL, IRRATIONAL, or COMPLEX/IMAGINARY.

Answers

Answer:

irrational duh

Step-by-step explanation:


It takes 8 minutes to fill an empty aquarium to a depth of
2/5
meters.
What is the unit rate in minutes per meter?
Write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

Answer

0

andrew8253

Virtuoso

237 answers

42.1K people helped

Answer:

The rate is 15 minutes per meter.

Step-by-step explanation:

It takes 9 minutes to fill a depth of  meters.

Filling   meters take 9 minutes time.

Filling 3 meters of the aquarium takes  = 45 minutes time (Multiplying by 5 both the numbers).

In order to fill 1 meter of the aquarium it will take  minutes (Dividing by 3 both the numerical values).

Answer:   20 minutes per meter

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

Work Shown:

8 minutes = (2/5) meters

5*(8 minutes) = 5*( (2/5) meters )

40 minutes = 2 meters

40/2 minutes = 2/2 meters

20 minutes = 1 meter

The unit rate in minutes per meter is 20 minutes per meter.

In other words, it takes 20 minutes to raise the level 1 meter.

which shows the use of the associative property?

Answers

Answer:

The correct answer is Option 2:

[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]

Step-by-step explanation:

Associative property consists of three quantities. Associative property for addition states that the result of adding three numbers will be same no matter what the order of addition is.

Let a,b and c be three numbers

Then associative property can be stated as:

[tex]a+(b+c) = (a+b)+c[/tex]

Now looking at the options it can be observed that the following choice shows the associative property

[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]

Hence,

The correct answer is Option 2:

[tex]7+(\frac{1}{5}+n) = (7+\frac{1}{5})+n[/tex]

Answer:

its B

Step-by-step explanation:

i got it right on Edg

I NEED HELPS ASAP PLS

Answers

Answer:

9

Step-by-step explanation:

find the larger of two consecutive integers,x, if the sum of the smaller and larger is -9. write an equation and solve

Answers

Answer:

-4

Step-by-step explanation:

27/22 as a decimal rounded to the nearest hundredth

Answers

Answer:

1.23

Step-by-step explanation:

27/22 = 1.227 --> 1.23 (7>5 so the number rounds up)

using the equation y=-6x+1: if you choose -2 as the input ,what will be the output

Answers

Answer: 13

Step-by-step explanation: you substitute x for -2 because the input is known as x. The output is known as y; solving the new equation y=-6(-2)+1 you will get y=12+1 then y=13

Write the ratio as a fraction in simplest form: 35 girls : 15 boys

Answers

Answer: 7/3

Mixed Number: 2 1/3

Step-by-step explanation:

Solve for ... 2x + 3 ​

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.

Answers

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer:

c

Step-by-step explanation:

Prove step by step that 5^20-5^19 is an even number with out using a calculator Please can you tell me the steps and why?

Answers

9514 1404 393

Answer:

  factor out 5^19

Step-by-step explanation:

a) Reason from parity:

  both 5^20 and 5^19 are products with only odd numbers (5) as factors. Hence each is an odd number. The difference of odd numbers is always even.

__

b) Factor:

  5^20 -5^19 = 5^19(5 -1) = 5^19×4

This product has an even factor (4), so is even.

equivalent answers for 64 to the power of 2/3

Answers

Answer:

16

Step-by-step explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

Simplify (if you want to)

[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]

64 to the power of 2/3 is 16.

hello, this is math and I need help ❤️ pls and ty ONLY SERIOUS ANSWERS

Answers

The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.

How to solve:

First use the formula: C = 3.14dReplace the d value with 30 and solve the equation:

C = 3.14 x 30    ⇒   94.2477796077

Then solve the equation again but 21 as the d value:

C = 3.14 x 21     ⇒   65.9734457254

Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8

Equation
y = 3 + 2x

What is the slope? Please help!!! Thank you!

Answers

I posted this and dont how to remove

Pls help! Move number to the lines!

Answers

First one is 2 and the other is 4

What is the answer?

Answers

Answer:

clockwise

Q= (5,-2)

R= (-1,-3)

S= (0,0)

T= (3,-2)

counterclockwise

Q= (-5,2)

R= (1,3)

S= (0,0)

T= (-3,-2)

Step-by-step explanation:

this might not be right im a little rusty on my transformations but here goes nothing.

i dont know if this is a clockwise or a counter clockwise rotation so ill do both options.

clockwise (x,y) - (y,-x)

q=(2,5) - (5,-2)

r=(3,-1) - (-1,-3)

s=(0,0) - (0,0)

t=(-2,3) - (3,2)

counterclockwise (x,y) - (-y,x)

q=(2,5) - (-5,2)

r=(3,-1) - (1,3)

s=(0,0) - (0,0)

t=(-2,3) - (-3,-2)

Which of these relations is a function?
I’m I correct??

Answers

Answer:

the first one on the bottom

Step-by-step explanation:

There is a little trick to find out if it is a function or not. This trick is called the vertical line test. if you can scan the figure with a virtual line and it does not touch more than one side of the figure at one time then it is a function. if it touches more than one side or line of the figure it is not a function.

What is the equation for a circle with the center, (0,0) and a radius of 4?

Answers

Answer:

(X-x0)^2 +(y-y0)^2= r^2

R=4

R^2=16

(X-0)^2+(y-0)^2=16

Help me answer b. c. I need help:(

Answers

Answer:I dont knwo the answer

Step-by-step explanation:tell em

Answer:

C

Step-by-step explanation:

I got it right

Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?

Answers

Answer:

Answer

Step-by-step explanation:

The answer is C

You would do 1.2 ÷ 4 which is 0.3

2.4  ÷ 8 is 0.3

3.9  ÷ 18 is 0.3

A is wrong because the constant of proportionality is 0.33333

B is wrong because the constant of proportionality is 0.6

No Problem!

Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?

Answers

Answer:

5.625

Step-by-step explanation:

If eight trash bags last for thirty days then 28 trash bags will last for how long

Answers

Answer:

105 Days

Step-by-step explanation:

Hope I helped

Answer:

105 days

Step-by-step explanation:

I don’t know if your teacher wants you to solve it like this but I used a proportion

8/30= 28/x

A painter painted about a fifth of a room in a fifth of a day. Coley estimated the painter would paint 6 rooms in 6 days. Is Coley's estimate reasonable? Complete the explanation.

EXPLANATION: Coley's estimate (is not/is) reasonable because the painter's unit rate is (blank) room per day, so in 6 days the painter would paint about (blank) rooms.

Answers

Answer:

yes he is correct

Step-by-step explanation:

if he is painting 1/5 of a room in 1/5 of a day he is painting 1 room in 1 day therefore he can paint 6 rooms in 6 days

Write an equation that shows the number
of teaspoons of chili powder (y) per
teaspoons of cumin (x).

Answers

How am I sophomore to know this I need help tho

Answer:

y=4x

Step-by-step explanation:

What is the equation of the line whose y-Intercept is 3 and slope is 1?

Answers

y = x + 3

as x increases by 1, y increases by 1 (Slope)

when x equals 0, y equals 3 (y-intercept)

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