Usando un sistema de ecuáciones, hay que Ezequiel tiene 11 años.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
x: La edad de Sandro.y: La edad de Ezequiel.z: La idad de su padre.Sandro y Ezequiel son hermanos y el producto de sus edades es igual a la edad de su padre, o sea:
xy = z
Sandro es 8 años menor que Ezequiel, o sea:
x = y - 8.
La suma de su edad y la de su padre es igual a 36, o sea:
x + z = 36.
z = 36 - x
z = 44 - y
En el primer ecuácion:
xy = z
(y - 8)y = 44 - y
y² - 7y - 44 = 0
(y - 11)(y + 4) = 0
y - 11 = 0 -> y = 11.
Ezequiel tiene 11 años.
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A restaurant manager states the number of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 9. The manager also states that the number of customers that enter their restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 35. What number of people buying a hotdog from the hotdog cart across the street makes the equation 4x+9=3x+35 true? Round your answer to the nearest whole number.
Answer:
26 customers
Step-by-step explanation:
Represent customers entering as y and those buying hot dogs as x
[tex]y = 4x + 9[/tex]
[tex]y = 3x + 35[/tex]
Required
Determine the number of people buying hotdogs (x)
Substitute 4x + 9 for y in the second equation
[tex]4x + 9 = 3x + 35[/tex]
Collect Like Terms
[tex]4x - 3x = 35 - 9[/tex]
[tex]x = 26[/tex]
10) Choose the graph that represents the statement.
The high temperature today will be under 85°
Please Help!! 100 POINTS, Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y= 6/5x-10
Step-by-step explanation:
A groundhog is 4 feet below the ground. A hawk is perched on a tree 5 feet above the ground what is the distance between the groundhog and hawk?
Answer:
i think its 20 or 9. depending what is on your paper or screen.
HELP PLEASEEEEE ASAP!!!!!!!! PLEASE LIKE PLEASE I NEED HELP
A rectangle has an area of 18cm
the lengths of the sides are whole numbers.
how long could the sides of the rectangle be?
give all the examples you can think of.
Answer:
1cm long, 18cm wide
2cm long, 9cm wide
3cm long, 6cm wide
6cm long, 3cm wide
9cm long, 2cm wide
18cm long, 1cm wide
Step-by-step explanation:
All examples given will equal to 18cm2
HEY CAN ANYONE PLS ANSWER DIS!!!!!!
Answer:
150 milesStep-by-step explanation:
Rent amount per x miles
Company A
90 + 0.2xCompany B
60 +0.4xFinding the value of x
90 + 0.2x = 60 + 0.4x0.4x - 0.2x = 90 - 600.2x = 30x = 30/0.2x = 150 milesanybody know how to do this onee
[tex]volume \: = base \: area \: \times height[/tex]
[tex]volume = ( \frac{3}{4} \times \frac{1}{2} ) \times \frac{5}{8} \\ [/tex]
[tex]volume = \frac{3}{8} \times \frac{5}{8} \\ [/tex]
[tex]volume = \frac{15}{8} \\ [/tex]
Answer:
0.23
Step-by-step explanation:
The equation for finding the volume of a cube is
length x width x height
so you need to multiply 5/8 by 1/2.
This will give you 5/16.
Now multiply 5/16 by 3/4.
This will give you 15/64 , which in decimal form will be your answer 0.23
Hope that helps!
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Reprezenty Proportional leationships. Quite Level
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Question 6
The graph represents how much money Emma makes selling
bracelets. The table shows how much Jack makes selling
comic books. Which statement is true?
20
10
16
14
12
Jack's Comics Sales
Number of Amount of
Comic Books money ($)
Bracelets cost moro
than comic books.
2
Amount of money ($)
7
10
3
10.5
O Bracelets are the
same price as comic
books.
6
5
17.5
4
2
Comic books cost
more than
bracelets.
0
1 2 3 4 5 6
Number of Bracelets
11
Complete
Answer:
Bracelets are the same price as comic books
Step-by-step explanation:
f(x)=-2x+3 f(3)-f(4)
Answer:
wregwgrwgrwgr t etretg rgregreg 5
Step-by-step explanation:
A website is selling sets of golf clubs for $63, but mentions that they originally cost $105. What percentage is the discount?
Subtract to find the amount of discount then divide by original price
105 - 63 = 42
42/105 = 0.40 = 40%
Answer: 40%
Determine the number of arrangements for the letters of the word GOALIE.
Answer:
555
Step-by-step explanation:
Increase 268 by
by 75%
Answer:
268 increased by 75% of its value = 469
Step-by-step explanation:
hope this helps :))
The number when 268 is increased by 75% will be 469.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Let 'n' be the increased number. Then the equation is given as,
75% = [(n - 268) / 268] x 100
Simplify the equation, then we have
0.75 = (n - 268) / 268
n - 268 = 201
n = 201 + 268
n = 469
The number when 268 is increased by 75% will be 469.
More about the percentage link is given below.
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What is the multiplicative rate of change of the function? One-third Two-thirds 2 9.
The multiplicative rate of change of the function will be [tex]\frac{2}{3}[/tex].
What is the multiplicative rate?It is an arithmetical operation that calculates the product of two values, first described in terms of repeated addition.
When the value of x is changed from 1 to 2, the value of y is changed from 6 to 4.
The multiplicative rate of change of the function will be
[tex]\frac{4}{6} = \frac{2}{3}[/tex]
When the value of x is changed from 2 to 3, the value of y is changed from 4 to [tex]\frac{8}{3}[/tex].
The multiplicative rate of change
[tex]\frac{\frac{8}{4} }{4} = \frac{2}{3}[/tex]
When the value of x is changed from 3 to 4, the value of y is changed from [tex]\frac{8}{13}[/tex] to [tex]\frac{16}{9}[/tex].
Hence the multiplicative rate of change of the function will be [tex]\frac{2}{3}[/tex].
To learn more about the multiplicative rate refer to the link;
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Answer:
2/3
Step-by-step explanation:
edge
I need help on the question in the photo!
Answer:
i)20 ii)5 iii)55 iv)80 this is the answer
Construct a perpendicular bisector to AB.
Answer:
Take a fixed gap and draw 180 degree arc of equal size on each side.
The compass size should be the same for the whole process, be careful.
Make 90 degrees angle for both side and cross two arcs from each 90 degrees. The point thus obtained should be produced vertically towards the line AB. The point on the line segment is the line bisector.
If you spin the spinner 6 times, what is the best prediction possible for the number of times it will land on green or yellow?
Answer:
2:6
Step-by-step explanation:
You spin it 6 times, you have a chance of getting two options
^^ this is a guess but it seems pretty reasonable
The best prediction possible for the number of times the spinner will land on yellow if it is spun 6 times is 1.
How to solve probability?If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.
To find the best prediction for the number of times the spinner will land on yellow if it is spun 6 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.
Expected value = Probability of yellow x Number of spins
Expected value = (1/6) x 6
Expected value = 1
This means that out of 6 spins, we can expect the spinner to land on yellow approximately 1 times on average.
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Find the sale price when the original price is $91.00 and the discount rate is 13%
Answer:
$79.17
Step-by-step explanation:
91.00 x 0.13= 11.83 (the discount)
91.00-11.83= $79.17 (the sale price)
Answer: $71.17
Step-by-step explanation: If 91 is the original price and the discount rate is 13%, 13% of 91 is being taken off and 87% is remaining, to find the 87% that's remaining multiply the original (91) by the the remaining percent(87%).91 x .87=71.17
87%-->.87
87x.01=.87
To find the decimal form of a percentage multiply the percentage by .01.
store A: 12$ for 3 pies or store B: $10 for 2 pies which is a better buy
Need help on this question ASAP PLEASE and thank you (:
Answer:
Step-by-step explanation:
HOW DO I DO THIS HELP ME PLEASE.
Answer:
100
Step-by-step explanation
so 57 and x and 23 are single numbers, so add 57+23=80
180-80=100
meaning x = 100
If $20,000 is invested in an account that compounds interest at 3.5% CONTINUOUSLY, how much money is in the account after 10 years?
Answer:
The final balance is $28,366.91.
So a gain of 8366.91
Step-by-step explanation:
State if the three numbers can be measures of the sides of a triangle.
What effect does a deposit have on a checking account?
Charges a fee to the bank account? A.Charges a fee to the bank account
B. No effect on the bank account
C. Increase the account balance
D. Decrease the account balance
Answer:
C. Increases the account balance
Step-by-step explanation:
Deposit means put into
Annie set her watch 11 seconds behind, and it falls behind another 1 second every day.
How many days has it been since Annie last set her watch if the watch is 29 seconds
behind?
Answer:
18 days
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think it is C.2920
Answer:
I think it is E 3000
because area of a triangle is
1\2 base * height
base = BC = 120
height = AH = 100
120\2 = 60
60 * 100 = 6000
6000\2 = 3000
what is the value of x
Answer:
x is 90 degrees.
Whenever you see a straight line or a square where the missing number is, that usually indicates a right angle. Otherwise, that is a special function. That should not be the case, however.
What is the value of q/ 6+(12−r), when q = 4 and r = 38?
A 7/ 12
B 14/ 19
C 19/ 24
D 21/ 25
Answer:
the answer to the value of the question is 21/25
MARK ME BRAINLIST please
I need help
Answer:
i am a holy angel here to help lol.
Step-by-step explanation:
i a m a h o l y a n g e l h e r e t o h e l p
Which of these is a simplified form of the equation 7z 2 = 8 2z 1z? 10z = 6 10z = 10 4z = 6 4z = 10.
Like terms are those terms that are having the same variables and order. The simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
The given equation to us is 7z+2=8+2z+1z, simplifying the equation we will get,
[tex]7z + 2 = 8 + 2z + 1z\\\\\text{Bring the like terms on the same side of the equation}\\\\7z -2z-1z = 8 -2\\\\7z-3z=6\\\\4z = 6[/tex]
Hence, the simplified form of the given equation 7z+2=8+2z+1z is 4z=6.
Learn more about Like Terms:
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