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

Answer:

Daniel is 8 years old now.

Step-by-step explanation:

From the word problem we can make the following two equations:

Let "K" be Kevin's age now and let "D" be Daniel's age now, then...

K = 3D

K - 4 = 5(D - 4)

Now we substate the value of K, and get...

K - 4 = 5(D - 4)

3D - 4 = 5(D - 4)

3D - 4 = 5D - 20

3D - 5D = - 20 + 4

- 2D = - 16

D = 8

Therefore Daniel is 8 years old now.


Related Questions

Which expression is equivalent to x + x + 4y?
A)
4xy
B)
6xy
C)
6 + xy
D)
2x + 4y

Answers

Answer:

The answer is b

Step-by-step explanation:

b is  6xy

2x+4y is the equivalent expression of x+x+4y.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  x + x + 4y

x plus x plus four times of y.

In the given expression x and y are two variables.

Equivalent expressions are expressions whose value will remain same after simplifying or solving.

We need to add x variable terms once and then with y term

x + x + 4y

2x+4y

Hence, 2x+4y is the equivalent expression of x+x+4y.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Question 4
Simplify the expression by combining like terms
Expression: -8yº - 9y +13y - 11y
Like Terms:
Simplified Expression:
I

Answers

Answer:

-8y° -7y

Step-by-step explanation:

Like terms:

13y-11y-9y= -7y

-8y°= -8y°

Simplified Expression:

-8y°-7y

what is the surface area​

Answers

Answer:

The surface area of the rectangular prism is 748 ft2.

Step-by-step explanation:

formula for surface area: A=2(wl+hl+hw)

A=2(wl+hl+hw)=2(5x16+14x16+14x5)=748

Answer:

748 ft²

Step-by-step explanation:

For the surface area, you need to add up the area of all sides, six in this example, but it can be simplified into three by multiplying some of them by two as its presumed a rectangle

x1 = 5*14*2 = 140

x2 = 16*14*2 = 448

x3 =16*5*2 = 160

You find the sum of these; 140 + 160 + 448 = 300 + 448 = 748

Look at the system of equations below.
x- 2y = 4
y=4-x
Trevor stated that (4,0) is the solution to the system of equations. Joey stated that (0, -2) is the solution to the system of equations. Which
conclusion is true?

Answers

Answer:

Trevor is right

Step-by-step explanation:

The solution of system of equations are [tex](4,0)[/tex]

Therefore, Trevor conclusion is true.

System of equations:

Given system of equations;

                 [tex]x- 2y = 4\\\\y=4-x[/tex]

Substitute value of y from equation (2) in equation (1).

           [tex]x-2(4-x)=4\\\\x-8+2x=4\\\\3x=12\\\\\\x=12/3=4[/tex]

Substitute value of x in second equation.

 [tex]y=4-x=4-4=0[/tex]

Hence, the solution of system of equations are [tex](4,0)[/tex]

Learn more about the system of equations here:

https://brainly.com/question/13729904

Dana ordered 6 pizzas for her party and each pizza is sliced into quarters. She says in order to find out how many slices there are, she needs to calculate
6 ÷ 0ne fourth. Which multiplication expression will also solve the problem of how many slices there are?

A.24 × one sixth

B.4 × one sixth

C.6 × one fourth

D.6 × 4

plzzzzz help I'm not good at math

Answers

Answer:

d

Step-by-step explanation:

D is the correct answer because when you divide 6 by one forth its just like 6x4

selling price is €280 and percentage profit is 40 percent what is the profit in euro's and the cost price?

Answers

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168


Mrs. Sanchez went to the hair salon.
The cost of her haircut and style was
$44.35, before tax. The sales tax rate
was 8%. If she added a 20% tip to the
total amount before tax, how muchM
did she pay for the service at the
salon? (Sales tax is paid only on the
service, not the tip.)

Answers

Answer:

$53.22

Step-by-step explanation:

$53.22

Sorry If I am wrong

Please help me with my homework! I accidentally answered 2 lol

Answers

Answer: 1 is independant

Step-by-step explanation: 2 is dependant. GOT IT CORRECT TRUST ME!!!

Can someone please help me with this question

Answers

Answer:

the graph on the bottom left

Step-by-step explanation:

outliers are points that are away from the cluster of points in the bottom left graph all of the points are grouped up therefor the bottom left graph is the correct answer

WHAT IS 8 divided by 52.08

Answers

Answer:

100/ 651 , or 0.15361

Step-by-step explanation:

this took so long

Answer:

0.15360983102

.......

is it a abc or d please help asap

Answers

Answer:

The answer is D

Step-by-step explanation:

12 6x−9y>12 what inequalities is equivalent to the inequality

Answers

Answer:

use mathpapa.com for those type of questions it always helps

Step-by-step explanation:

pls help me!!!!!!!!!!!

Solve for the variable "x" in this example

Answers

Answer:

x=9

Step-by-step explanation:

these are vertical angles, so they equal eachother!

12x-3=105

move three to the other side of the equals sign

12x=108

divide both sides by 108

x=9

Answer: x=9

Step-by-step explanation:

These angles are equal, so you can set 105 equal to 12x-3. Add 3 and divide by 12 to get x=9.

Which of these choices show a pair of equivalent expressions? Check all that
apply.
A. (481)5 and 815/4
B. 67/2 and (VG)
C. 52/3 and (15)3
O D. 75/7 and (77)5

Answers

Given:

The pair of expressions in the options.

To find:

The pairs which show a pair of equivalent expressions.

Solution:

Property of exponent:

[tex](\sqrt[n]{x})^m=x^{\frac{m}{n}}[/tex]

In option A,

[tex](\sqrt[4]{81})^5=81^{\frac{5}{4}}[/tex]

So, option A is correct.

In option B,

[tex]6^{\frac{7}{2}}=(\sqrt[2]{6})^7[/tex]

[tex]6^{\frac{7}{2}}=(\sqrt{6})^7[/tex]

So, option B is correct.

In option C,

[tex]5^{\frac{2}{3}}=(\sqrt[3]{5})^2[/tex]

[tex]5^{\frac{2}{3}}\neq (\sqrt{5})^3[/tex]

So, option C is incorrect.

In option D,

[tex]7^{\frac{5}{7}}=(\sqrt[7]{7})^5[/tex]

[tex]7^{\frac{5}{7}}\neq (\sqrt{7})^5[/tex]

So, option D is incorrect.

Answer:it’s a and b

Step-by-step explanation:

did the test

Linda has a toy car that can drive 6 ft in 2 seconds how many feet can it drive in 1 second

Answers

Answer:

3 ft

Step-by-step explanation:

Because 6 divided by 2 equals 3. And two 1s equal 2.

Answer:3ft

Step-by-step explanation:6/2

PLEasE HELPPP WITH THISSSSS IF U KNOW THE ANSWER PLS TELL ME LIKE THIS :
RADIUS =
DIAMETER=
CIRCUMFERENCE=
AREA=

Answers

Radius= 3

Diameter= 6

Circumference= 18.85

Area= 28.27

Give me brainlest plis :(

Which of the numbers below is greater than -2.4? Select all that apply.
A) 1.3
B) −3.6
C) −2
D) −32
E) −5

Answers

Answer:

A) 1.3 and C) −2

Step-by-step explanation:

A & C are greater then -2.4

in a class, the ratio of boys to girls is four to three. if there are 20 boys in the class, how many girls are there? process plss

Answers

15 i think????jdjdnrndrnrnd

can Someone help me ​

Answers

Pentagon:) hope this helps

NEED HELP ASAP I WILL GIVE BRAINLIST


What is the value of x in this diagram?

A
28
B
33
C
43
D
47

Answers

Answer:

The angle X = 33° Brainliest pls!

Step-by-step explanation:

180-104 = 76, 76- 10 = 66, 66/2=33

Pleas help me, please explain how you got your answer :)​

Answers

Answer:

im not sure but i think its e,c,f

Step-by-step explanation:

Answer:

55 °

Here's the way i got my answer :

Complementary angles are two angles that have a sum of 90° ,therefore 35° + X = 90°

X=55° .

to get ∠DBF

180° - 90° = 90 °

to get ∠EBF

∠CBD + ∠DBE + ∠EBF = 180°

35° + 90° + ∠EBF = 180°

∠EBF = 55°

I DONT GET THISS help

Answers

The slope is the coefficient of the variable. In this case, -1/4 is before the x. So the answer is C

I WILL GIVE BRAINLIEST!

Answers

Answer:

Slope = -1/2

Y-Intercept = 2

Equation: Y=-1/2x+2

Step-by-step explanation:

Graph goes 2 units up at y=2, that's your y-intercept. From there, plot your second point by moving 1 down and 2 to the right from the y-intercept, landing on the point (2,1) to get your slope, written as -1/2.

Which point is on the graph of the equation y = -3x + 4?

A. (-3, 4)
B. (2, 2)
C. (1, 1)
D. (0, -4)

Answers

Answer:

The points that fits the equation would be option D.

Find the exact value of x.

Answers

The answer is 15

good night

Answer:

x = 15

Step-by-step explanation:

use pythagorean theorem (a^2+b^2=c^2)

you have c^2 and one of the sides so you just reverse the equation and do

17^2-8^2

and that gives you 225

when you [tex]\sqrt{225}[/tex], you get 15 as your answer

pls help me Solve the equation -7y + 4 =60 *

Answers

Answer:

y=−8

Step-by-step explanation:

−7y+4=60

Subtract 4 from both sides.

−7y=60−4

Subtract 4 from 60 to get 56.

−7y=56

Divide both sides by −7.

y=−56/7

Divide 56 by −7 to get −8.

y=−8

Grapf if needed:

Simplify the Expression
2(x +14) - (2x - 5)

Answers

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

I need help with 2.04, 2.06 and 2.08!!

Answers

Answer:

Sorry I can't help with2.08

Hope the remaining helped

PLS mark BRAINLIEST

City y is 10 miles north of city x city z is 24 miles east of city x how long is the straight roads connecting cities y and z?

Answers

Answer:

26 miles

Step-by-step explanation:

Using Pythagoras rule :

d = straight road connecting city Y and Z :

d = sqrt(xy² + xz²)

d = sqrt(10² + 24²)

d = sqrt(100 + 576)

d = sqrt(676)

d = 26 miles

7(x+4)=-21
what does x equals
CORRECT answers ONLY please

Answers

Answer: x = -7

Step-by-step explanation:

7 (x + 4) = -21

7x + 28 = -21

Subtract 28 from both sides

7x = -49

Divide both sides by 7

x = -7

Answer:

x = -7

Step-by-step explanation:

first distribute he 7 to get 7x + 28 = -21

then subtract 28 from both sides to get 7x = -49

lastly divide 7 from both sides to get x = -7

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