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 ago6 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.
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)
What is the answer to 4/5 of 30?
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
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
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.
Which term is a perfect square of the root 3x^4
santa has 300 he share. 1/5 3/10 50.00 he bank the rest what fraction did he bank
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.)
Please help thank you!
Answer:
10
Step-by-step explanation:
hii i would like help for the question
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
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
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.
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
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
hey, please help. thank you
Answer:
SAS
Step-by-step explanation:
pretty sure since the angle z is connected to both right triangles the sides become congruent.
Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2
Answer:
x=2
Step-by-step explanation:
What is the diameter?
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
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?
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
Pls help me no files just type it in thank yiu>333<33
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
The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?
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]
Please help me with the screenshot question
Answer:
owner withdrawal
1.225000
2.3300
A shop window is 6 meters long and has an area of 18m².What is the height of the window
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
I need a little help what measurement is closest to the area of Nevada in square miles?
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
13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is
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
Which ordered pair is a solution to the system of inequalities graphed here?
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?
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
Help is needed please..
Answr 2.(1.3)^x
Step-by-step explanation:
what is the correct answer
Answer:
below
sin30 = x/8
x = 8 *sin30
x = 4
option A is Correct
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.
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
Given the triangle below, what is m B, rounded to the nearest tenth?
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
What is the answer meyn?
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
What can happen when excessive (too many trace elements are lost from
the body?
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
Answer pleaseeeeee!!!
Answer:
The answer is option C
determine the range of the capacity of these dams
Answer:
100 ldnncncbhggtix znzhkgzgjtuustashsh
what is the mode of the data set 8, 8, 9, 10, 11
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.