Answer:
Mauricio nació en el año 2000.
Step-by-step explanation:
Supóngase que el cumpleaños se celebra en el año 2020, si [tex]x[/tex] es la edad actual de Mauricio, entonces la expresión matemática que traduce el enunciado del problema es:
[tex]\frac{(x+13)-10}{23} +20 = 21[/tex]
Ahora, se desarrolla y se simplifica la ecuación:
[tex]\frac{x+3}{23}+20 = 21[/tex]
[tex]\frac{x+3}{23} = 1[/tex]
Se despeja [tex]x[/tex]:
[tex]x +3 = 23[/tex]
[tex]x = 20[/tex]
Mauricio tiene 20 años.
Ahora, el año de nacimiento de Mauricio es la sustracción de la edad de Mauricio del año actual:
[tex]y = 2020-20[/tex]
[tex]y = 2000[/tex]
Mauricio nació en el año 2000.
Solve the equation below for x.
сх — 4 = 7
Answer:
x = 11/c
Step-by-step explanation:
To solve this equation for x, we simply need to apply equation operations and isolate the x variable.
cx - 4 = 7
cx - 4 + 4 = 7 + 4
cx = 7 + 4
cx = 11
cx * (1/c) = 11 * (1/c)
x = 11 * (1/c)
x = 11/c
Cheers.
Determine if the survey question is biased. If the question is biased, suggest a better wording. Why is eating carrots good for you?
What is the value of x: -7x = -2x + 15
Answer:
-3
Step-by-step explanation:
-7x=-2x+15
collect like terms
-7x+2x=15
-5x=15
divide both sides by -5
x=15/-5
x=-3
cos²45+Sin²60 + sin^2 30
Step-by-step explanation:
[tex] { \cos}^{2} 45 \degree + { \sin}^{2} 60 + { \sin}^{2} 30 \degree \\ = \bigg( \frac{1}{ \sqrt{2} } \bigg)^{2} + \bigg( \frac{ \sqrt{3} }{ 2} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{2} \\ \\ = \frac{1}{2} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2}{4} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2 + 3 + 1}{4} \\ \\ = \frac{6}{4} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ [/tex]
¿Por que 10/25 es equivalente a 2/5?
Answer:
because if u divide the top and bottom by 5, you'll get 2/5
Step-by-step explanation:
Answer: Porque dividir ambos por 5 y eso es lo más bajo que pueden ir
Step-by-step explanation:
10 / 5 = 2
25 / 5 = 5
The parabola y=x^2 is shifted down 2 units and is reflected. What is the new parabola?
Answer:
y = x² - 2
Step-by-step explanation:
Quadratic Parent Function: y = a(bx + h)² + k
k = vertical movement up/down
Since we are only dealing with a vertical shift down, we are only modifying variable k
k = -2
y = x²
y = x² - 2
f (x) =2x-3 find f (1)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 1 }}}}}[/tex]
Step-by-step explanation:
Given, f( x ) = 2x - 3
Here, we assume the value of x as 1
Now, Finding f ( 1 )
[tex] \sf{f(1) = 2 \times 1 - 3}[/tex]
Multiply the numbers : 2 and 1
⇒[tex] \sf{f(1) = 2 - 3}[/tex]
Subtract the numbers : 3 from 2
⇒[tex] \sf{f(1) = - 1}[/tex]
Hope I helped!
Best regards!!
Answer: f = -6
Step-by-step explanation:
Remove parentheses
f= -2*3
f= -6
PLEASE GIVE A GOOD EXPLANATION FOR A FREE BRAINLIEST: 26.8 + 0.65 - 0.028 =
[tex]\boxed{27.422}[/tex]
We will use order of operations to add and subtract from left to right to solve this equation.
26.8 + 0.65 = 27.45
The equation now looks like:
27.45 - 0.028 = 27.422
Therefore, your answer is 27.422.
Answer:
ok so
26.8
+ 0.65
----------------
27.45
- 0.028
----------------
27.422
Step-by-step explanation:
uhh just math
Four times the sum of half a number and 6 is 48.
How do you put this as an equation?
Answer:
make x the subject of formula then = 6/48
Susan charges $8 per hour walking her neighbor’s dog. She charges $12 per hour babysitting. Part A: Define the variables. Part B: Write an expression to represent the amount Susan earns dog walking and babysitting
Answer:
Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.
Part B: y=8d+12b
Step-by-step explanation:
To undo multiplication, you
A.divide
B.mulitpy
C. add
D. subtract
Answer:
A
Step-by-step explanation:
It’s the opposite
Answer: In order to undo multiplication you must divide. For fractions multiply the reciprocal to get it to the other side in an equation.
Step-by-step explanation:
So it is given that we have to do the opposite operation of multiplication, so that is division. In an equation, if we have a fraction, then we multiply the reciprocal of the fraction to get it to the other side.
Hence, your answer.
Little Johnny is fleeing from a horde of zombies. He is 4000 feet from a safe zone where a gate will be closed in 3 minutes. If Johnny is running at a rate of 22 mph, will he be able to reach the safe zone before the gate is closed? Yes or No? Explain BRIEFLY.
Answer:
Johnny will be able to reach the safe zone before the gate is closed.
Step-by-step explanation:
Given that:
Distance of Little Johnny from safe zone = 4000 feet
Time = 3 minutes
Speed = 22 mph
To find:
Will Johnny be able to reach the safe zone ?
Solution:
Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.
Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.
Let us have a look at the formula of distance traveled:
[tex]Distance = Speed \times Time[/tex]
Time = 3 minutes = [tex]\frac{3}{60}[/tex] hrs
Speed = 22 mph
[tex]Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles[/tex]
We know that 1 mile = 5280 feet
Therefore 1.1 miles = 5280 [tex]\times[/tex] 1.1 feet = 5808 feet
Distance traveled by Little Johnny is greater than 4000 feet.
Therefore Johnny will be able to reach the safe zone before the gate is closed.
(7y2 - 3y)-(4y2 + 2y- 2)
Answer:
Step-by-step explanation:
7y^2 - 3y - 4y^2 -2y + 2
3y^2 - 5y + 2
classify the following numbers as rational or irrational. √23
Answer:
Irrational
Step-by-step explanation:
Unless a radical solves out to be a whole number, rads are irrational.
Answer:
√23 is an Irrational Number
Step-by-step explanation:
√23 = 4.79 is not a pefect square so its an irrational number
find the 40th term of an AP where 12th term is 45 and 17th term is 80.
Answer:
40th term = 241.
Step-by-step explanation:
17th term:
= a1 + 16d = 80
12th term
= a1 + 11d = 45 Subtracting the 2 equations:
5d = 80 - 45 = 35
d = 7
and a1 + 16(7) = 80
a1 = 80 -112 = -32.
Therefore the 40th term = -32 + 39*7
= 241.
after paying income 5% a man has Rs 7600 left. what is his income?
Answer:
His income was 8000 rupees
Step-by-step explanation:
We must find his income so let that be x
We take 100%-5% = 95%
Turn this 95% into a decimal which is 0.95
So:
x * 0.95 = 7600
Rearrange this to give x:
x = 7600/0.95
x = 8000 rupees
The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.
What are percentages?Percentages are fractional values where the total amount is taken as 100.
25% of a quantity means 25/100 of that quantity.
How to solve the given question?In the question, we are informed that after paying 5% of income, a man is left with Rs. 7600.
We are asked to find his income.
We are given that a man pays 5% of his income, so he will be left with (100-5)% = 95% of his income as percentages are taken over a total of 100.
We assume the man's total income to be Rs. Y.
∴ We can say that the man is left with 95% of Y.
We know the man is left with Rs. 7600. So we can write this case as:
95% of Y = 7600
or, 95/100 of Y = 7600
or, (95/100)*Y = 7600
or, Y = (7600*100)/95 = 760000/95 = 40000/5 = 8000.
∴ The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.
Learn more about percentages at
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What is the domain of g?
Answer:
x≥ -3
Step-by-step explanation:
The domain is the values that x can take
g(x) = sqrt( x+3)
This must be greater than or equal to zero
x+3 must be greater than or equal to zero
x must be greater than or equal to -3
x≥ -3
is -55.505 a rational number?
Answer:
yes
Step-by-step explanation:
Any number that can be written in p/q from is a rational number
I’ve tried for so long and I don’t know any of these please help I need answers
Answer:
Step-by-step explanation:
What is the length of a rectangle with width 20 in, and area 172 in2
Which number is not the square of a whole number?
100
400
80
Answer:
it should be 80
Step-by-step explanation:
100 squared is 10
400 squared is 20
80 does not have an exact answer 8.944 so it is 80
An item is on sale for $100. If it was discounted by 20%, what was the original selling price?
Answer: The original price was $125
Step-by-step explanation:
If an item is on sale for $100 and it was discounted by 20% then we could set up an equation and solve for the original price.
Remember if there were 20% discount then 80% of the price will be left.
80% * x = 100
0.8x =100
x = 125
Step-by-step explanation:
We have :
• Selling Price = $100
• discount = 20%
As we know
• Selling Price = Cost - Discount
Now we have
• Discount = 20%
Let cost be x
→ Selling Price = x - 20% of x
→ selling price = 80% of x
→ 80% of x = 100
→ 80/100 x = 100
→ x = 100 × 100 / 80
→ x = $ 125
Beverly Hibbs earns $683.00 a week. She is single and claims 2 allowances. What amount is withheld weekly for federal income tax
Answer:
$18 per week
Explanation:
The amount that is withheld weekly for federal income tax is $52.25
Federal Insurance Contribution Act is the legal organization used in the United States which contain the rules and regulations applied for calculating payroll taxes on the paychecks of the employee. The tax process is contributed by both the employees as well as the employers for funding the social security and Medicare programs.
The rate of federal tax withheld for the weekly paycheck is:
= 6.2% of social security + 1.45% for medicare
= 7.65% of the gross weekly pay.
If Beverly Hibbs earns $683.00 a week, the amount withheld weekly by the Federal income tax is:
= 0.0765 × 683
= $52.25
Learn more about federal income tax here:
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One box of colored pencils has 9•10 to the power of 6 pencils . Another box has 10 to the power of 3 pencils. What is the total number of pencils in both boxes
is 1,600 1 tenth of 16,000
Answer:
true
Step-by-step explanation:
16,000 / 10 = 1,600
needing help!!!! pls help
Answer:
110 = z
Step-by-step explanation:
Since these figures are similar, the angles have to be the same measure
<A =< E
<B = < F
<C = <G
<D = <H
110 = z
perform the indicated operation. (4+12i)+(-9-8i)
Answer:
4 i - 5
Step-by-step explanation:
Simplify the following:
4 + 12 i - 9 - 8 i
Hint: | Evaluate 4 + 12 i - 9 - 8 i.
4 + 12 i - 9 - 8 i = (12 i - 8 i) + (4 - 9) = -5 + 4 i:
Answer: 4 i - 5
write an equation for each line :
m = -4 and the y-intercept is 3
Answer:
y = -4x + 3
Step-by-step explanation:
m = slop
b = y-int
y = mx + b
20) Round each number to the nearest hundreds place.
a) 345.983
b) 1283.75
c) 9980.32
d) 1111.111
e) 689.4
Answer:
Step-by-step explanation:
X X X X . X X X
^ this is the hundreds place
X X X X . X X X
^ this is the hundredths place
a) 300 Because the place behind it is less than 5.
b) 1300 The place in the tens is 5 or greater.
c) 10,000 The place in the tens is 5 or greater which causes the 9 in the hundreds to go up which also causes the 9 in the thousands to go up as well.
d) 1,100
e) 700
Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if
necessary.
X^2 = 5
Answer:
The answer is
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Step-by-step explanation:
x² - 5 = 0
Using the quadratic formula
That's
[tex] x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]Solve the equation
From the question
a = 1 , b = 0 , c = 5
So we have
[tex]x = \frac{ - - 0\pm \sqrt{ {0}^{2} - 4(1)( - 5)} }{2(1)} \\ x = \frac{\pm \sqrt{20} }{2} \\ x = \frac{\pm2 \sqrt{5} }{2} \\ x = \pm \sqrt{5} \: \: \: [/tex]We have the final answer as
[tex]x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2[/tex]Hope this helps you