Queremos encontrar una expresión algebraica que representa la situación dada.
Encontraremos que está es: 4*D + 3
Lo primero que debemos hacer es definir la variable.
Definamos D como la distancia que Margarita recorre en la primer semana.
En la segunda semana, Margarita recorre un kilometro más que en la primera, entonces en la segunda semana Margarita recorre:
D + 1km
En la tercera semana, Margarita recorre el dolbe de km recorridos en la segunda.
En la segunda ella recorrio D + 1km, y el doble de eso es:
2*(D + 1km) = 2*D + 2km
La distancia total recorrida sera la suma de las 3 semanas:
D + (D + 1km) + (2*D + 2km)
Simplificando los km, así solo queda una expresión algebraica, obtenemos:
D + (D + 1) + (2*D + 2)
Podemos simpliicar esto para obtener:
D + D + 1 + 2*D + 2
(D + D + 2*D) + (1 + 2)
4*D + 3
Entonces la representación algebraica simpliicada de los kilómetros recorridos durante el entrenamiento es:
4*D + 3
Si quieres aprender más, puedes leer:
https://brainly.com/question/21513785
Write √ 3 x √ 6 in the form b √2 where b is an integer.
Answer:
Step-by-step explanation:
The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)
sqrt(3)* sqrt(6)
sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)
sqrt(3)*sqrt(2)(sqrt(3)
sqrt(3)*sqrt(3)*sqrt(2)
3*sqrt(2)
Can someone help me with my homework I don’t understand it
Answer:
1 : 14
hard to see image (try using screen shots)
but.... 2 inches to 4 feet would be
2 : 48 which is
1 : 14
Step-by-step explanation:
Solve each for X. Show your work
1). 1/2x - 1/4 = 3/5x + 2
2). 10-1/2x = 6 + 3x
Answer:
1). [tex]x = \frac{8}{7} [/tex]
2). [tex]x = - \frac{45}{2} [/tex]
Step-by-step explanation:
1) [tex]10 - \frac{1}{2} x = 6 + 3x[/tex]
[tex]20 - x = 12 + 6x[/tex]
[tex]20 - x - 6x = 12 + 6x - 6x[/tex]
[tex]20 - x - 6x = 12[/tex]
[tex] - x - 6x = 12 - 20[/tex]
[tex] - 7x = 12 - 20[/tex]
[tex] - 7x = - 8[/tex]
[tex]x = \frac{8}{7} [/tex]
•■•■•■•■•■•■•■•■•
2) [tex]x = - \frac{45}{2} [/tex]
[tex] \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2[/tex]
[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]
[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]
[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]
[tex]10x - 5 = 4 \times 3x + 40[/tex]
[tex]10x - 5 - 12x = 40[/tex]
[tex]10x - 12x = 40 + 5[/tex]
[tex] - 2x = 40 - 5[/tex]
[tex] - 2x = 45[/tex]
[tex]x = - \frac{45}{2} [/tex]
2 [3 (7-5) + 4 (8 + 2)]
Answer:
92
Step-by-step explanation:
2 [3 (7-5) + 4 (8 + 2)]
= 2 [3 × 2 + 4 × 10)]
= 2 [ 6 + 40 ]
= 2 × 46
= 92
Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 2? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition
Answer:
Commutative Property of Addition
Step-by-step explanation:
3(x − 4) + 5x = 9x − 36
3x − 12 + 5x = 9x − 36 Distribute
3x + 5x − 12 = 9x − 36 Commutative Property of Addition
[tex]\sqrt{x} =4[/tex]
Please Help im being timed!!! Is this True or False
Answer:
True
Step-by-step explanation:
[tex]f(x)=y=-8x+5: exchanging\ x\ and\ y\\\\x=-8y+5\\\\8y=-x+5\\\\f^{-1}(x)=y=\dfrac{-x}{8}+\dfrac{5}{8} =g(x)\\\\\\[/tex]
The two functions are inverses.
a formula for the area of a square is A=s2. Find A when s= 15cm.
Answer:
225
Step-by-step explanation:
15^2 = 15 * 15 = 225
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A number is divided by 2, and then the quotient is increased by 8. The result is 33.
Answer:
33
Step-by-step explanation:
please let me know if I’m correct
hope this helps
Picture shown!
Complete the remainder of the table for the given function rule:
y=-x-9
x | -2 -1 0 2
y |-7 [?] [ ?] [? ] [? ]
Step-by-step explanation:
-8
-9
-10
-11
just subtituted the remaining values of x.
Answer:
x= -1 —> y= –8
x=0 —> y= –9
x=1—> y= –10
x=2—>y= —11
Step-by-step explanation:
x= -1 —>y= -(-1)-9= +1-9 = –8
x=0 —> y= -(0)-9= –9
x=1—> y= -(1)-9= -1-9= –10
x=2—>y= -(2)-9 = —11
I hope I helped you^_^
I need help ASAP IM IN SCHOOL!!!
Answer:
-4, -9/4, 1/2, sqrt5, 3.7
if M={a,b,c,d} and N={c,b,e,f},find the value of M-N
Answer:
M-N= {a,d}
Step-by-step explanation:
subtract the common elements
(a, d)
(
Step-by-step explanation:
because a and d are not in N ,
Cuanto es 2/9 - 4/15
Answer:
Step-by-step explanation:
Common denominator is 45
(45/9)*2 = 10 and (45/15)*4 = 12
10/45 - 12/45 = - 2/45
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional development for the year were $3,500. Which of the following represents his total employment compensation?
a.
$46,650
b.
$47,650
c.
$50,150
d.
$53,650
Please select the best answer from the choices provided
A
B
C
D
Answer:
D. 53,650
50,150+3,500=53,650
please help its urgent
Step-by-step explanation:
tn=3n+8
t1=3*1+8
=3+8
=11
t7=3*7+8
=21+8
=29
t14=3*14+8
=42+8
=50
Caroline lowes her Dad $15.00. She earns
$18.00 doing chores. How much did Felicia receive after her
Dad took out what she owed him?
Answer:
-(6y + 2z) - 7z - (12z + 32y)
Step-by-step explanation:
9,875
Answer:
A,B,C
Step-by-step explanation:
Hope this helps
BRAINLIEST
…..Help 30 points ……………
Answer:
answers below
Step-by-step explanation:
1. 21.50n (Print it)
2. 70+18n (Top Print)
3. This one is more complicated. First, you find out the cost from each store, by inserting 30 in place of n. (1. =645), (2.=610). Then, you subtract 610 from 645, which gets your difference to 35$.
4. There is an error in the wording, but the answer should be something along the lines of this. "Bill would need to buy 2 fewer shirts from Print It than from Top Print for Print it to be cheaper."
[tex]\frac{-3+-6}{3}[/tex]
whats the answer to that?
Answer:
-3
Step-by-step explanation:
A postive and a negative becomes a negative.
So -3 + - 6 becomes
-3 - 6
= -9
The -9 is over 3, which is 9/3 negated, so 3 negated which is -3.
I need workings pls.and I want you to understand my questions
1.)log base 16 0.25
2.)log base 7 ¹/7
3.)log base 4 ⅛
Answer:
-1/2 , -1, -3/2
Step-by-step explanation:
1.)log base 16 1/4
log base 16 [tex]4 ^{-1 }[/tex] =x
[tex]16 ^{x} = 1/4[/tex]
x = -1/2
2.)log base 7 ¹/7
log base 7 [tex]7^{-1}[/tex] = x
7^x = 7^-1
x = -1
3.)log base 4 ⅛
4^x = 1/8
[tex]2^{2x} = 2^{-3}[/tex]
2x = -3
x = -3/2
Answer:
Step-by-step explanation:
1. Let a = log16 0.25, then:
0.25 = 16 ^ a = 16^-0.5
So the answer is -0.5.
2. log7 1/7
1/7 = 7^-1
Answer is -1.
3. log4 1/8
1/8 = 4^(-1.5)
Answer is -1.5
ok this is the last one i swear , i’m so bad at finding mistakes
Answer:
there is no mistake
Step-by-step explanation:
this seems weird ik but i dont think there is even a mistake? the answer is definitely -7/2 or -3.5
Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.
represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1
Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?
Step-by-step explanation:
numbers
first = X
second = (x-10)
Third = 4(x-10)
x + (x-10) + 4(x-10) = 124
2x -10 + 4x-40 =124
6x - 50 = 124
6x = 124 + 50
6x = 174
x= 29
therefore the ;
first number = 29
second = (x-10) = 29-10 = 19
third= 4(x-10) = 4(29-10)= 76
is -6.146 contued a rational or irrational
explian pls
Step-by-step explanation:
cannot be written as a fraction so its irrational
PLEASE HELP GIVING BRAINIEST AWNSER WORTH 20 POINTS
Write an algebraic expression that has two different variables
and two different operations: addition, subtraction, multiplication, or division. Then write
a real world problem that uses the expression.
a real world problem that uses the expression
Hi, I'm happy to help!
First, we need to use two variables. Let's use x and y for this example.
Let's use a Multiplication and Addition operation for our word problem.
Our expression can be something like this.
3x+y
Now, we form this into a word problem.
Joe and Jim are cousins. They are trying to see who can find the most apples. Joe picks x apples. Jim picks 3 times as many as Joe, and picks y extra. How many apples did Jim pick? Write and solve an expression representing the situation. x=10 and y=3
Here's how you would solve:
3x+y
(3×10)+3
30+3
33
Joe picked 33 apples.
I hope this was helpful, keep learning! :D
Cho m là tham số. Tìm điều kiện của m để phương trình x^2+2(m+1)+m+3=0 có nghiệm kép
Answer:
1234 Get On The Dance Floor
An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.
How much paint is in each part?
Answer:
0.575 ounce
Step-by-step explanation:
Total paint
= Green paint + white paint
= 1.6 ounces + 1.85 ounces
= 3.45 ounces
Paint in each part if divided into 6 parts equally
= 3.45 ounces/6
= 345 ounces/600
= 23/40
= 0.575 ounce
The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Amount of green paint = 1.6 ounces
Amount of white paint = 1.85 ounces
Total paint = 1.6 + 1.85 = 3.45
The ratio of green paint to total paint = 1.6/3.45 = 0.46
Now, this ratio must be maintained in each part after dividing it into 6 equal parts.
Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58
With the same ratio,
Green paint / Total paint = 0.46
Green paint / 0.58 = 0.46
Green paint = 0.27 ounces
White paint = total paint - green paint
White paint = 0.58 - 0.27 = 0.31 ounces
Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
4
Select the correct answer.
Identify the system of linear equations from the tables of values given below.
х
у
х
у
.
0
2
0
1
-4
0
-2
0
6
5
-4
-1
-6
-1
2.
2.
Answer:
x 3:7 y 5:9 :)
Step-by-step explanation:
If 8 ounces of cereal cost $2.99, then 16 ounces of cereal cost $5.98
what is trigonometry???????
Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
Answer:
trigonometry is the branch of mathematics that studies the relationship between angles and sides of a triangle.
The cost price of a box and a pen is Rs 80 The box is sold at 10% profit and the pen is sold at 20% loss. If the selling price of the box is Rs 28 more than that of the pen, calculate the profit or loss percent in a whole.
Answer:
61.84%
Step-by-step explanation:
Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:
1.1x = 0.8(80 - x) + 28
We can simplify and solve:
1.1x = 64 - 0.8x + 28
1.9x = 92
x = 92/1.9
x = 920/19
The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).
The sum of these two can be written as a percent x of 80.
80x = 0.8(80 - 920/19) + 1.1(920/19)
80x = 64 - 0.8(920/19) + 1.1(920/9)
80x = 64 - 0.3(920/19)
80x = 64 - 276/19
80x = 940/19
x = 940/1520
x = 0.6184
This is 61.84%