Answer:
Sean dos números A y B.
Sabemos que la suma de estos dos números es igual a 5, entonces:
A + B = 5
Y sabemos que el doble de uno mas el doble del otro da como resultado 15.
entonces:
2*(A + 2*B) = 15
esta es la única forma de interpretar esta ecuación, si en lugar de esta expresión tuviéramos 2*A + 2*B = 15 (pues tambien se puede interpretar como esto), entonces:
tenemos dos ecuaciones:
A + B = 5
2*A + 2*B = 15
Ahora, si sacamos el 2 como factor común en la segunda ecuación tenemos:
2*(A + B) = 15
si dividimos ambas partes por 2:
(A + B) = 15/2 = 7.5
(A + B) = 7.5
Esto se contradice con la primer ecuación:
(A + B) = 5.
Entonces podemos concluir que dichos números no existen.
Dejando esto de lado, nuestras ecuaciones van a ser:
A + B = 5
2*(A + 2*B) = 15
Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la primera:
A = 5 - B
Ahora podemos reemplazar esto en la otra ecuación:
2*(5 - B + 2*B) = 15
2*(5 + B) = 15
10 + 2*B = 15
2*B = 15 - 10 = 5
B = 5/2 = 2.5
Y con la primer ecuación:
A + B = 5
reemplazamos el valor de B:
A + 2.5 = 5
A = 5 - 2.5 = 2.5
Ambos números son 2.5.
what 2/5(10x + 3/4) - 2x?
Answer:
2x + 3/10
Step-by-step explanation:
2/5 (10x + 3/4) - 2x = 4x + 3/10 - 2x = 2x + 3/10
4w − 18 = 18 solve for w
Answer:
hello! :) have a good day!
W = 9
Ms. Ponse drove 200 miles in 4 hours. At that rate how long will it take Ms. Ponse to drive 340 miles?
PLEASE HELP FOR POSSIBLE BRAINLIEST!
Answer:
6.8 hours.
Step-by-step explanation:
200/4 = 50
340/50 = 6.8
help me for brainlistt
Answer:
120 ft squared
Step-by-step explanation:
First you find the areas of all the triangle surfaces and add them up
1/2 * b * h = 21
21 *4 = 84
Find the area of the square base and add the 2 values up
6^2 = 36
36+84 = 120
(3y + 4) (9y² - 12y + 16)=
pls answer and give the solution
Answer:
27 ³ + 64
Step-by-step explanation:
Please help
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.
Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
if f(x)=3x-4 and g(x)=x^2 -1
what is f(g(-3))?
a) -34
b) 8
c) 20
d) 168
help me I keep getting it wrong
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x - 6 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = [tex]\frac{2}{3}[/tex] x - 4 ← equation of parallel line
-------------------------------------------------------------------
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{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = - [tex]\frac{27}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{27}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
f (x) = 2x g(x) = 4x + 5 Find f (x) + 3g(x)
Answer:
f(x) + 3g(x) = 14x + 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x
g(x) = 4x + 5
Step 2: Find
Substitute in functions: 2x + 3(4x + 5)[Distributive Property] Distribute 3: 2x + 12x + 15Combine like terms: 14x + 15Please answer this question now. Giving brainliest to anyone who answers
Find the value of b + 19 when b=9.
Answer:
28.
Step-by-step explanation:
b + 19 =
(9) + 19 =
9 + 19 = 28
Answer:
28
Step-by-step explanation:
Substitute b with 9 so it's 19 + 9 = 28
Have a great day <3
what is the ratio then what is the value of the ration?
Answer:
For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).
flora has a summer job where she earns $9.50 per hour. At this company, employees get a 10% raise after working for 400 hours. If flora works 640 hours over the summer, how much money will she make?
whyyyyyy does math suck help meeee plzz
Answer:
3 1/2
Step-by-step explanation:
the equation is 7/8x4/1 and can be rewritten as 7x4/8x1 = 28/8 which simplifies to 3 4/8 or 3 1/2
5x + 2y = 10
What is the substitution?
Hi there!
The substitutions are 10 and 0.
Help me please!!!!!!
Answer:
(2,8)
Step-by-step explanation:
I'm not so sure but if I were answering I would have picked (2,8)
How do I write a phrase in words as an algebraic expression for 8/d?
Answer:
The quotient of 8 and d.
Step-by-step explanation:
I hope this helps you have a wonderful day! :D
estimate the difference
7 3/4 subtracted by 2 2/5
show your work
Answer:
5 7/20
Step-by-step explanation:
basically, you are going to want to turn these into improper fractions
7 3/4 = 28/4 + 3/4
= 31/4 (no further simplification)
2 2/5 = 10/5 + 2/5
= 12/5
now get common denominator to subtract
31/4 - 12/5
155/20 - 48/20 = 107/20
if you want this back into mixed fraction then convert
107/20 = 5 7/20
Can someone plz help me with these. Will chose Brainlist.
Answer:
19= 11
20= 33
21= 22
22= 38
23= 74.8
Step-by-step explanation: if it's correct can i get brainliest.... hopes this helps.
What is the radius of a circle with a circumference of 81.64 feet.
Answer:
Step-by-step explanation:
Your answer
Circumference = 2 * π* r = 81.64
r = 12.99 → 13
Mark it as Brainlist answer. Follow me.
help me with this question for my homework pls
Answer:
4 1/12 is your answer
Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.
Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5,6
C.3/16,9/48
D.6/15,4/10
Answer:
b is correct
Step-by-step explanation:
as 7/8 can't be further simplified and it is not making equivalent with 5/6
hope it helps you
please mark me as brainlist
Solve the inequality.
20 + 8.1 > 28
Answer:
You can't solve since there is no variables
The inequality from the question is true
Using Proportions to Make a Prediction
Of 25 grocery store shoppers, 14 said that their family’s favorite breakfast is cereal bars. Predict how many of 500 families at grocery store would buy cereal bars.
Of 200 radio-controlled cars that were manufactured by one company, 3 were defective. The company manufactures 1000 cars each day. About how many
defective cars would you predict are produced each day?
HELP......HELP......HELP
Ratio of people who said they like cereal bars to people who said they don't = 14:11
Number of people at a grocery shop = 500
Which means :
[tex] =\tt \frac{14}{25} \times 500 [/tex]
[tex] =\tt \frac{14 \times 500}{25} [/tex]
[tex] = \tt \frac{7000}{25} [/tex]
[tex] \color{plum}= \tt280 \: people[/tex]
Thus, 280 people would buy cereal bars.
▪︎Therefore, out of 500 people, 280 people would buy cereal bars.
○=> Solution (2) :Ratio of cars which worked well to cars which were defective = 297:3
Number of care produced each day = 1000
Number of defective cars produced each day :
[tex] = \tt \frac{3}{200} \times 1000[/tex]
[tex] =\tt \frac{3 \times 1000}{200} [/tex]
[tex] = \tt\frac{3000}{200} [/tex]
[tex]\color{plum} = \tt15 \: defective \: cars[/tex]
Thus, 15 defective cars are produced.
▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.
Select the correct answer. Factor completely.12x^2+28x 4x(3x + 7) 4x(3x + 28) 4x2(3x + 7) 4(3x + 7)
Answer:
4x(3x+7)
Step-by-step explanation:
12x^2+28x
factor out the 4x
4x(3x+7)
[
1
What is the distance between the points (-4, -8) and (10,-8)?
Need help
Answer:
2
Step-by-step explanation:
√(-8-8)^2 +(10+4)^2=
✓-32+28
✓4
=2
What is the missing angle
120°
70°
Answer:
the measure of angle B is 50
Step-by-step explanation:
the measure on the other side of the 120 is 60
hope this helps!!
HELP ME PLEASE! i'll give u brainliest
Answer:
D. Hope that helps!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It is D because all fractions are rational numbers, and numbers with decimals can also be fractions, so its like multiplying a fraction with a fraction, It would still be a rational number.
I generally need help
Answer:
24 units²
Step-by-step explanation:
4(12)/2=24
If f(x) = 12 – 2 and g(x) = x + 3, find all values of x, to the nearest tenth, for
which f(x) = g(x).
Answer:
x=7
Step-by-step explanation:
f(x) =g(x)
12-2=x+3
10=x+3
10-3=x
x=7