6 years ago, Kelly was younger than Kendall by 6 years. The total age of Kelly and Kendall now is 52 years. What was Kendall's age 6 years ago?

Answers

Answer 1

Answer:

Kendall's age 6 years ago was 23 years.

Step-by-step explanation:

A system of equations is a set of equations with the same unknowns. A  system of linear equations is a system of equations in which each equation is linear. That is, a system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case you propose a system, being the variables to solve:

x: Kelly's age 6 years agoy: Kendall's age 6 years ago

6 years ago, Kelly was younger than Kendall by 6 years. The total age of Kelly and Kendall now is 52 years. So, the system of equations is:

[tex]\left \{ {{x=y-6} \atop {(x+6)+(y+6)=52}} \right.[/tex]

It is solved by the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the following one. The first equation is replaced in the second equation of the system:

(y-6+6)+(y+6)=52

y +(y+6)= 52

y +y+6= 52

2*y + 6=52

2*y= 46

y= 46 ÷ 2

y=23

So, Kendall's age 6 years ago was 23 years.


Related Questions

13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is

Answers

Answer:

Associative property of multiplication

Step-by-step explanation:

Associative property of multiplication is one of the properties used to solve mathematical questions

This is given by the formula

a × (b × c) = (a × b) × c

Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication

What is the area of the polygon enter your answer in the box

43.5 units2
45.5 units2
56.5 units2
49.5 units2

Answers

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

What is the diameter?

Answers

Answer:

16 inches

Step-by-step explanation:

c = πd

50.26 = 3.14 * d

Divide both sides by 3.14

d = 16.0

16 inches

Answer:

The diameter is 16 inches

hey, please help. thank you

Answers

Answer:

SAS

Step-by-step explanation:

pretty sure since the angle z is connected to both right triangles the sides become congruent.

The right Answer is SAS

Pls help me no files just type it in thank yiu>333<33

Answers

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

You don't need to add the denominators just add the numerators

7/12

Denomenater is same so u can just add it

thank you

santa has 300 he share. 1/5 3/10 50.00 he bank the rest what fraction did he bank​

Answers

Answer:

1/6

Step-by-step explanation:

$50 is 1/6 of $300

(I think this is what you meant. The question was kind of confusing.)

What can happen when excessive (too many trace elements are lost from
the body?

Answers

Answer:

im not sure but

Step-by-step explanation:

Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities

Please help me with the screenshot question

Answers

Answer:

owner withdrawal

1.225000

2.3300

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8). What is the corresponding quadratic expression? A. 2x2 − 16x + 24 B. -2x2 + 16x – 24 C. -2x2 - 16x + 24 D. -x2 − 16x + 12 E. -x2 − 16x – 24

Answers

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

[tex]P(x)=a(x-2)(x-6)[/tex]                    ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

[tex]8=a(4-2)(4-6)[/tex]

[tex]8=a(2)(-2)[/tex]

[tex]8=-4a[/tex]

Divide both sides by -4.

[tex]\dfrac{8}{-4}=a[/tex]

[tex]-2=a[/tex]

Putting [tex]a=-2[/tex] in (i), we get

[tex]P(x)=-2(x-2)(x-6)[/tex]

[tex]P(x)=-2(x^2-6x-2x+12)[/tex]

[tex]P(x)=-2(x^2-8x+12)[/tex]

[tex]P(x)=-2x^2+16x-24[/tex]

Therefore, the correct option is B.

7. What is the domain (the first element or number, from each palr) of this relation:
{(4,1), (5,2), (6,-1), (8,5)}
*
O {4,5,6,8)
O {4,5,6)
O{1, 2,-1,5)
O {4,-1,5,2)

Answers

{4,5,6,8} is the correct answer.

This is because the domain is all of the possible x values in a set. The range is all of the possible y values. So for the first point (4,1) has an x value of 4, and a y value of 1. The second point (5,2) has an x value of 5, and a y value of 2. And so on.

Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2

Answers

Answer:

x=2

Step-by-step explanation:

What is the answer to 4/5 of 30?

Answers

Answer:

24

Step-by-step explanation:

[4 / 5 ] * 30 = 24

Answer:

24

Step-by-step explanation:

To get the answer you have to multiply the 4/5 x 30 to get the answer

Help is needed please..

Answers

Answr 2.(1.3)^x

Step-by-step explanation:

i’m probably wrong but i think it’s the 4th anwser

Which term is a perfect square of the root 3x^4

Answers

9x^8

lmk if this helped :)

Given the triangle below, what is m B, rounded to the nearest tenth?

Answers

Answer:

82.8

Step-by-step explanation:

LAW OF COSINES

b^2 = a^2 + c^2 − 2ac cos(b)                formula

12^2 = 10^2 + 8^2 - 2(10)(8) cos (b)       substitute and calculate

144 = 100 + 64 - 160 cos (b)                  add like terms

144 = 164-160 cos (b)                             subtract 164

- 20 = -160 cos (b)                                  divide by -160/reduce  

1/8 = cos (b)                                            inverse cos each side

b = 82.8

I need a little help what measurement is closest to the area of Nevada in square miles?

Answers

Answer:

110,050

Step-by-step explanation:

You have a rectangle at the top with a w of 310 and a l of 210 = 65,100

The triangle has a height of 290 and a base of 310 = 44,950

Okay so let’s calculate the area of the rectangle at the top first.
A = length(width)
A = (210)(310)
A = 65,100 miles
Now, solve for the triangle at the bottom. First we need to get the height, so..
500 miles - 210 miles = 290 miles
Now we can use the triangle formula
A = base(height)/2
A = 310(290)/2
A = 44,950 miles
Now add our two remaining areas.
44,950 miles + 65,100 miles = 110,050 miles
Therefore, the first option is correct.

Caio comprou uma lembrancinha para todos os seus amigos e gastou R$12,50. Qual fração pode representar esse valor? 125/2 25/5 125/5 25/2

Answers

Answer:

$ 12.50 = $ 25/2

Step-by-step explanation:

Money spent = $ 12.50

To convert the amount in fractions

[tex]12.50\\\\=\frac{1250}{100}\\\\=\frac{125}{10}\\\\=\frac{25}{2}[/tex]

So, the correct option is $25/2

Which ordered pair is a solution to the system of inequalities graphed here?

Answers

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you plot the point (1, 4), you see that the ordered pair falls in the shaded area bounded by the lines. The other ordered pairs fall outside of the shaded area.

We are collecting bananas. Alf has 4 times as many as Jim, and Jim has three times as many as Sid. Altogether they have 192. How many does Sid exactly have?

Answers

Answer:

12 bananas

Step-by-step explanation:

We are collecting bananas.

Lets represent, the number of bananas collected by:

Alf = x

Jim = y

Sid = z

Jim has three times as many as Sid.

y = 3z

Alf has 4 times as many as Jim

x = 4y

x = 4 × 3z

x = 12z

Altogether they have 192.

x + y + z = 192..... Equation 1

We substitute

3z for y and 12z fox x in Equation 1

12z + 3z + z = 192

16z = 192

z = 192/16

z = 12

Therefore, since, the number of bananas Sid collected = z

Hence, Sid has 12 bananas exactly

Answer pleaseeeeee!!!

Answers

Answer:

The answer is option C

hii i would like help for the question

Answers

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

Canada has a population of about 32 million. The population of the United States is 10 times larger. How many people live in the United States? Explain the number of zeros in your answer.

Answers

Answer:

People live in the U.S. = 320000000

Step-by-step explanation:

Below is the calculation of a number of people who live in the United States.

Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.

Canada population = 32 million or 32000000

Thus the U.S. population = 32000000 x 10 = 320000000

Jack and Jill both ordered pizzas from Wayne's Pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Jill paid $67 for two pepperoni pizzas and 4 plain pizzas. How much does Wayne's Pizza charge for a plain and for a pepperoni pizzas?

Answers

Answer:

A plain pizza is $10.50 and a pepperoni pizza is $12.50

Step-by-step explanation:

Create a system of equations where x is the price of a pepperoni pizza and y is the price of a plain pizza:

3x + 2y = 58.5

2x + 4y = 67

Solve by elimination by multiplying the top equation by -2:

-6x - 4y = -117

2x + 4y = 67

Add these together and solve for x:

-4x = -50

x = 12.5

So, a pepperoni pizza is $12.50. Plug in 12.5 as x into one of the equations, and solve for y:

2x + 4y = 67

2(12.5) + 4y = 67

25 + 4y = 67

4y = 42

y = 10.5

So, a plain pizza is $10.50.

A plain pizza is $10.50 and a pepperoni pizza is $12.50

The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?

Answers

Answer:

- [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]

what is the mode of the data set 8, 8, 9, 10, 11

Answers

Answer:

the 'mode' of 8, 8, 9, 10, 11 is 8

Step-by-step explanation:

The 'mode' of a data set is the value that shows up most.  Note how 8 shows up twice here, whereas 9, 10 and 11 show up only once each.

Thus, the 'mode' of 8, 8, 9, 10, 11 is 8.

What is the answer meyn?

Answers

Answer:

the best value is two 50 ml bottles

Step-by-step explanation:

Okay focus with me , if you buy a bottle of 50 ml you will get a second for half price so we can say that --> 2 bottles of 50 ml =

[tex]45 + \frac{45}{2} = 67.5[/tex]

We get 100 ml with £67.5 just , but when you buy 80ml you must pay £55 Hum !

then you can dived the volume of bottle with price ...

the price of one ml is 0.675 in first State

[tex] \frac{67.5}{100 } = 0.675[/tex]

in the second state the price of one ml is

[tex] \frac{55}{80} = 0.6875[/tex]

then :

[tex]0.675 < 0.6875[/tex]

so the best value is two 50 ml bottles

determine the range of the capacity of these dams​

Answers

Answer:

100 ldnncncbhggtix znzhkgzgjtuustashsh

A shop window is 6 meters long and has an area of 18m².What is the height of the window

Answers

Answer:

3 meters

Step-by-step explanation:

Assuming the window is rectangular

A = l*h

18 = 6*h

Divide each side by 6

18/6 = 6h/6

3 = h

Please help thank you!

Answers

Answer:

10

Step-by-step explanation:

what is the correct answer​

Answers

Answer:

below

sin30 = x/8

x = 8 *sin30

x = 4

option A is Correct

A is the correct answer
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