Answer:
El lado del cuadrado inicial es 17 m.
Step-by-step explanation:
El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.
A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:
(x+3)*(x+5)= 440 m²
Resolviendo:
x*x + 5*x + 3*X + 3*5= 440
x² + 8*x + 15=440
x² + 8*x + 15 -440= 0
x² + 8*x -425= 0
Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
En este caso, a=1, b=8 y c=425. Reemplazando:
[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]
Resolviendo:
[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]
y
[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]
Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.
According to the graph, what is the value of the constant in the equation below?
Height= Constant/Width
(4,5) (5,4) (10,2) (20,1)
A. 1
B. 10
C. 5
D. 20
Answer:
20
Step-by-step explanation:
AP EX Confirmed
Anna's class has already collected 74 cans for the annual canned food drive. Her class
must collect more than 200 cans to reach their goal. The class plans to collect 15 cans
each day. Which inequality shows the number of additional days, d, Anna's class
needs to reach the goal?
CLEAR
15d + 74 > 200
15d - 74 > 200
15d + 74 > 200
150 – 74 > 200
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
Answer:
15d + 74 > 200
d > 8.4 days
Step-by-step explanation:
Total cans needed = over 200
Number of cans they have = 74
Number of cans needed per day = 15
Number of days = d
The inequality is
74 + 15d > 200
Also written as
15d + 74 > 200
15d > 200 - 74
15d > 126
d > 126/15
d > 8.4 days
solve the system of equations using elimanation
-2x+2y=6
4x+2y=-5
Answer:
Your solution is (-11/6, 7/6).
Step-by-step explanation:
-2x + 2y = 6
4x + 2y = -5
Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the 2y's a positive by multiplying each term in the equation by -1.
4x + 2y = -5
-1(4x + 2y = -5)
-4x - 2y = 5
Now we have a new equation in our system.
-2x + 2y = 6
-4x - 2y = 5
Now eliminate by performing each action given by the terms.
-2x + 2y = 6
-4x - 2y = 5
_________
-6x = 11
Divide both sides by -6.
x = 11/-6
Now that we know x, plug it back into one of the original equations to find y.
-2x + 2y = 6
-2(11/-6) + 2y = 6
Multiply.
-22/-6 + 2y = 6
22/6 + 2y = 6
Subtract 22/6 from both sides.
2y = 6 - 22/6
2y = 36/6 - 22/6
2y = 14/6
2y = 7/3
Divide both sides by 2.
y = (7/3)/2
y = 7/6
Your solution is (-11/6, 7/6).
Check your answer by plugging both values into one of the original equations.
4x + 2y = -5
4(-11/6) + 2(7/6) = -5
Multiply.
-44/6 + 14/6 = -5
Add.
-30/6 = -5
Divide.
-5 = -5
Your answer is correct.
Hope this helps!
2.35 x 23.6 =
show work
Answer:
hope this helps <33 (55.460)
Step-by-step explanation:
2.35
x 23.6
---------------------
1 23
1 . 4 1 0
1 1
7 . 0 5 0
1
47 . 0 0 0
---------------------
1
5 5 . 4 6 0
Help please !! What’s the answer ??
Answer:
2(5+3)
Step-by-step explanation:
Answer:
2(5$+3$)
Step-by-step explanation:
hope this helps
Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?
Answer:
$5 for a dog treat
$3 for a cat treat
Step-by-step explanation:
week 1: 6d + 4c = 42
week 2: 2d + 7c = 31
*used calculator & guessed what each treat costs*
WEEK 1:
6(5) + 4(3) = 42
30 + 12 = 42
42 = 42
WEEK 2:
2(5) + 7(3) = 31
10 + 21 = 31
31 = 31
1) Does the table show a proportional relationship? *
1. Last summer, Milo sold water bottles at the park to raise money for his baseball
team.
He made the table below.
High
Temperature
(degrees)
50
85
85
90
100
Number of
Water Bottles
Sold
10
20
25
30
25
Does the table show a proportional relationship? How do you know?
Answer:it is 50. Degrees
Step-by-step explanation:
High
Temperature
(degrees)
50°
Number of
Water Bottles
Sold
10
20
25
30
25
85°
85
90°
100°
Does the table showa proportional relationship? How do you know?
HELP!
If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?
A. 42cm
B. 36cm
C. 35cm
D. 18cm
The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
Learn more about altitude here: https://brainly.com/question/27816517
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7 2/3+(-5 1/2)+8 3/4=?
Answer:
10.9166666667 or 10 11/12
hope this helps
have a good day :)
Step-by-step explanation:
Steve went the the baseball game with some of his friends. He bought 3 packages of peanuts and 4 hotdogs for a total of $14.50. Mark bought 1 package of peanuts and 6 hotdogs for $13.00. Ruben came with his family to the baseball game and bought 6 package of peanuts and 10 hotdogs. How much money did Ruben spend?
Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
What is a system of linear equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.
Let p = packet of peanuts and h = hotdogs
Establishing the system of linear equations to find the cost of one each,
3p + 4h = 14.50.............(i)
p + 6h = 13
p = 13 - 6h........(ii)
Put eq (ii) in the eq(i)
3(13-6h) + 4h = 14.50
39 - 18h + 4h = 14.50
-14h = -24.5
h = 1.75
Put h = 1.75 in eq(ii)
p = 13 - 6(1.75)
p = 2.5
Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75
Therefore, 6 package of peanuts and 10 hotdogs will costs =
6(2.5) + 10(1.75) = 15 + 17.5 = $32.5
Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.
Learn more about system of linear equations click;
https://brainly.com/question/19549073
#SPJ2
what question is being asked ?
Answer:
4 meters
Step-by-step explanation:
Assuming that the garden is a rectangular garden, its area would be length ×width.
Let the length be L meters and the width be W meters.
Area= L ×W
48= LW -----(1)
Given that the length is 3 times the width,
L= 3W -----(2)
Substitute (2) into (1):
48= 3W(W)
3W²= 48
Divide both sides by 3:
W²= 48 ÷3
W²= 16
Square root both sides:
[tex]W = \sqrt{16} [/tex]
W= 4 (reject negative as width cannot be a negative number)
Thus, the width of the garden is 4 meters.
put some group spam usernames ideas
Help ASAP! Can someone explain how?
Answer:
Step-by-step explanation:
cos theta is 5/13
so, adjacent=5 ,hypotenuse=13 and opposite=?
hypotenuse^2=adjacent^2+opposite^2
13^2=5^2+opposite^2
169-25=opposite^2
[tex]\sqrt{144}[/tex]=opposite
12=opposite
sin theta=opposite/hypotenuse
=12/13
A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
The final sale price of an item can be expressed as 1.05(x – 0.2x), where x is the original price of the item.
Answer:
0.84 and 84
Step-by-step explanation:
1.05 (x -0.2x) = 1.05 (1-0.2)x = 1.05 * 0.8 x= 0.84x
84% of the original price of item
Answers:
first box = 0.84xsecond box = 84=================================================
Explanation:
Think of x - 0.2x as 1x-0.2x. The numbers out front, the 1 and -0.2, combine to 0.8
The 0.8 converts to 80%, meaning that if there's a 20% off sale, then you still have to pay the remaining 80% of the original price.
The 1.05 indicates that we started with 100%, and then add on 5% sales tax, so 100% + 5% = 1 + 0.05 = 1.05
---------------
Simplifying the expression given to us leads to
1.05(x - 0.2x)
1.05(1x - 0.2x)
1.05(0.8x)
(1.05*0.8)x
0.84x
This shows that the final price, after tax, is 84% of the original price.
¿Cuáles son los procedimientos a ambos lados de la igualdad que se deben realizar para calcular el valor de la incógnita x en la siguiente ecuación? 2x+5=7
Answer:
Los procedimientos que se deben realizar para calcular la incógnita x en la ecuación 2x+5=7 son:
El 5 que está sumando a la izquierda del igual, se pasa a restar a la derecha del igual.El 2 que multiplica a x a la izquierda del igual, se pasa a dividir a la derecha del igual.Step-by-step explanation:
Siguiendo los procedimiento descritos en la respuesta, para calcular el valor de la incógnita:
2x + 5 = 7Seguimos el primer paso: el 5 que está sumando a la izquierda del igual, se pasa a restar a la derecha del igual:
2x = 7 - 5Seguimos el segundo paso: el 2 que multiplica a x a la izquierda del igual, se pasa a dividir a la derecha del igual:
[tex]x=\frac{7-5}{2}[/tex]Como puedes ver, así se despejaría la incógnita x y solo faltaría operar los datos en la ecuación para obtener la respuesta:
[tex]x=\frac{2}{2}[/tex][tex]x=1[/tex]El resultado que nos daría la incógnita x sería 1. Podemos probar el resultado en la ecuación original para comprobar el resultado que obtuvimos:
2x + 5 = 72 *(1) + 5 = 72 + 5 = 77 = 7Así, identificamos que los procesos realizados fueron correctos.
A tutor invited 3 students to a study group. Those 3 students each invited 3 students to the study group. Then those additional students each invited 3 students to the study group. How many total students are invited to the study group?
Answer:21 students
Step-by-step explanation: 3x7=21 students.
The average number of games a player has appeared in the 2021 NBL games as of now is about 40 games
with a standard deviation of 10 games. Determine what percent of players have appeared in 45-56 games,
write as a percent with two decimal places.
Is -3 a rational number
Answer:
-3 -31 -3
Step-by-step explanation:
Rational numbers are denoted Q Since −3 can be written as −31 it could be argued that −3 is also a real number.
answer:
yes
explanation:
rational numbers are are numbers that can be expressed as a fraction or ratio of two integers. they can be represented as a integer, fraction, terminating decimal, or repeating decimal. In this case -3 is an integer making it rational.
hope this helped!
Find the circumference of c round to the nearest hundredth
Answer:
Sorry sorry sorry sorry!! Please forgive me! I need this to pass a very important exam!! Sorry again!! Ily!!
Step-by-step explanation:
Where is the blue dot located on the number line
===================================================
Explanation:
Use the midpoint formula to find the midpoint of -10 and -4
A = -10 = left endpoint
B = -4 = right endpoint
C = midpoint of A and B
C = (A+B)/2
C = (-10+(-4))/2
C = -14/2
C = -7
The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).
Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:
move from -10 to -13move from -13 to -16move from -16 to -19The blue dot is located at -19
3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?
Step-by-step explanation:
Given :-
Two consecutive odd integers can be modeled by n and n + 2, where n is anodd integer. The sum of two consecutive odd integers is 80.=> n + n +2 = 80
=> 2n + 2 = 80
=> 2n = 78
=> n = 78 ÷ 2
=> n = 39
numbers = 39 &41Pls help I need help with 4 I need a answer and a explanation pls
Answer:
because it has the words "less than", the "-2" is after the multiplication which is "2n" so the answer is...
D.) 2n-2
Step-by-step explanation:
PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!
Answer:
115
Step-by-step explanation:
When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52, 7 times 9=63, 52+63=115. Hope this helps!
which one is it?‼️‼️
Answer:
C
Step-by-step explanation:
20 ÷ 5 = 4
24 ÷ 6 = 4
28 ÷ 7 = 4
32 ÷ 8 = 4
So the correct answer is C
Basit plate and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?
Answer:
60000 points per game
Step-by-step explanation:
Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game.
Solution:
Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.
Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:
Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game
Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).
a.
(-7.7,-3)
c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)
Please select the best answer from the choices provided
A
B
C
D
Given:
A vector from (-3.7,2) to (-4, -5).
To find:
An ordered pair that represents the vector
Solution:
If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)[/tex]
A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]
Therefore, the correct option is b, i.e., (-0.3,-7).
the figure below. help me please
what is the area???!?!?!
9514 1404 393
Answer:
ac
Step-by-step explanation:
The length of the base is the x-distance between E and H, so is ...
base = a - 0 = a
The height is the y-distance between E and F, so is ...
height = c - 0 = c
The area of the parallelogram is the product of base and height.
A = base×height
A = a×c
The area of the parallelogram is ac.
please help fast, thanks !
Answer:
a) 0.8
b) 0.3
c) 0.9
d) 0.95
Step-by-step explanation:
A probability always adds up to 1. It is between the scale of 0 (never likely) to 1 (very likely).
So:
1 - 0.2 = 0.8
1 - 0.7 = 0.3
1 - 0.1 = 0.9
1 - 0.05 = 0.95
Hope this helped!
There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the prism
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³