Answer: The area of the enlargement is 315cm.
Step-by-step explanation:
If the picture has 35cm as the area and it has a length of 7cm then we can find the width by dividing the area by the length.
w= 35/7
w = 5
So in this care the width of the picture in 5cm.
Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply by 3.
In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.
w= 5*3 = 15
The width is 15cm and the length is 21cm so multiply them to find the area.
A = 15 * 21
A = 315cm
Help needed ASAP will give brainliest!
ASAP please help me!!
Answer:
A = –3
B = 7
Step-by-step explanation:
[(10x³y⁵)(4x²y¯²)/20x¯⁴yᵇ]ᵃ = y¹²/8x²⁷
The value of a and b can be obtained as shown in the attached photo.
Write each equation in standard form. Identify A, B, and C.
43. y=12x
44. -4y=3x-24
45. 4x=8y-12
46. Word problem: The distance the Green family traveled during their family vacation is given by the equation y=65x, where x represents the number of hours spent driving. How far does the Green family travel in 8 hours?
Answer: The answers are in the steps.
Step-by-step explanation:
A standard form equation says that Ax + By=C
SO we have to set all the equations to be like that.
43. y = 12x Subtract 12x from both sides.
-12x + 1y = 0 In this case -12 is A, 1 is B , and 0 is C.
44 . -4y =3x -24 subtract 3x from both sides
-3x - 4y = -24 A is -3 , B is -4, and C is -24
45. 4x = 8y - 12 Subtract 8y from both sides.
-8y -8y
4x - 8y = -12 A is 4, B is -8 and C is -12
46. If we are given the equation y=65x and x represent the number of hours spent driving. And it says that how far do you travel in 8 hours then plot 8 into the equation for x and solve for y.
y = 65(8)
y= 520
They traveled 520 miles in 8 hours .
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f() = -5x2 + 8x - 1
Of(x) = -222 +50 - 1
O f(x) = -3.x2 + 4.0 – 1
O f() = -3x2 + 10x - 1
Answer:
The equation is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
The general form of a quadratic equation or function f(x) is, f(x) = y = a·x² + b·x + c
Given that the points representing the quadratic function are;
(-1, -8), (0, -1), (1, 2) which are of the form (x, y)
When x = -1, f(x) = y = -8
Plugging in the above values into the general form of a quadratic function, we have;
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.........................(1)
When x = 0, y = -1, we have;
-1 = a·(0)² + b·(0) + c = c
c = -1.......................................(2)
When x = 1, y = 2, which gives;
2 = a·(1)² + b·(1) + c = a + b + c
2 = a + b + c........................(3)
Adding equation (1) to equation (3), we have;
-8 + 2 = a - b + c + a + b + c
-8 + 2 = 2·a + 2·c
From equation (2) c = -1, we get;
-8 + 2 = -6 = 2·a + 2·c = 2·a + 2 × (-1)
-6 = 2·a - 2
-4 = 2·a
a = -2
From equation (3), we have
2 = a + b + c
Substituting the values of a, and c gives;
2 = -2 + b - 1
b = 2 + 2 + 1 = 5
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1.
Answer:
b
Step-by-step explanation:
Un terreno ha sido cultivado con tres variedades de claveles. La sexta parte ha sido sembrada por
claveles rojos, la cuarta parte por claveles amarillos y el resto por claveles blancos.
Actividad 1
1 ¿Qué parte del terreno se sembró con claveles rojos y amarillos? Utilice el espacio para hacer
el proceso.
Answer:
1) Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos, 2) Se siembra siete doceavas partes del terreno con claveles blancos.
Step-by-step explanation:
El enunciado se encuentra incompleto. La pregunta faltante es:
2 ¿Qué parte del terreno corresponde a los claveles blancos?
1) Sea [tex]A[/tex] el área total sembrada con los tres tipos de claveles. Entonces, las áreas sembradas con claveles rojos y claveles amarillos son [tex]\frac{1}{6}\cdot A[/tex] y [tex]\frac{1}{4} \cdot A[/tex], respectivamente.
El área sembrada con claveles rojos y amarillos se obtiene al sumar las áreas correspondientes, es decir:
[tex]x = \frac{1}{6}\cdot A + \frac{1}{4}\cdot A[/tex]
[tex]x = \left(\frac{1}{6}+\frac{1}{4}\right)\cdot A[/tex]
[tex]x = \left(\frac{4+6}{24} \right)\cdot A[/tex]
[tex]x = \frac{10}{24}\cdot A[/tex]
[tex]x = \frac{5}{12}\cdot A[/tex]
Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos.
2) El área sembrada con claveles blancos se obtiene al sustraer el área obtenida en el punto anterior del área total. Esto es:
[tex]x = A - \frac{5}{12}\cdot A[/tex]
[tex]x = \left(1-\frac{5}{12} \right)\cdot A[/tex]
[tex]x = \left(\frac{12}{12}-\frac{5}{12} \right)\cdot A[/tex]
[tex]x = \left(\frac{12-5}{12} \right)\cdot A[/tex]
[tex]x = \frac{7}{12}\cdot A[/tex]
Se siembra siete doceavas partes del terreno con claveles blancos.
Answer:
Step-by-step explanation:
>:C
Si una llave vierte 6 1/3 litros de agua por minuto, ¿cuánto tiempo tardará en llenar un depósito de 88 2/3 litros de capacidad?
Answer: 14 minutes
Step-by-step explanation:
Given: A tap pours [tex]6\dfrac13[/tex] liters of water per minute.
To find : Time taken to fill an[tex]88 \dfrac23[/tex] liters capacity tank.
which is given by :-
Time = [tex]88 \dfrac23\div 6\dfrac13[/tex] minutes
[tex]=\dfrac{3\times88+2}{3}\div\dfrac{3\times6+1}{3}[/tex] minutes
[tex]=\dfrac{266}{3}\div \dfrac{19}{3}[/tex] minutes
[tex]=\dfrac{266}{3}\times\dfrac{3}{19}[/tex] minutes
[tex]=\dfrac{266}{19}=14\text{ minutes}[/tex]
Hence, it will take 14 minutes to fill an[tex]88 \dfrac23[/tex] liters capacity tank.
Referring to the Fig. in Question #3, evaluate the expression shown when a = 3, b = 8, c = 4 Please help.
Answer:
[tex]\huge\boxed{4}[/tex]
Step-by-step explanation:
=> [tex]\sqrt{b^2-4ac}[/tex]
Given that a = 3 , b = 8 and c = 4
=> [tex]\sqrt{(8)^2-4(3)(4)}[/tex]
=> [tex]\sqrt{64-48}[/tex]
=> [tex]\sqrt{16}[/tex]
=> 4
Some one help? Im confused with this part of geometry just tell me what answer
Answer:
the answer is actually PS (7x - 7)
Hoped that I helped
convert 8 7/8 to an improper fraction
Answer:
71/8
Step-by-step explanation:
8 ⅞ = 71/8
How?
8 × 8 + 7 = 71
Which is 71/8.
Answer:
Hey there! :)
Step-by-step explanation:
~ Answer is 71/8 ~
There is two ways you can do this, they are provided below :)
Steps in order to solve this question!:
~1. First you have to multiply the denominator by the whole number
(The denominator is 8, and the whole number is 8 too)
So, 8x8=64
~2. Next you have to take the 64 and add it to the 7 which is the numerator of 8 7/8.
64+7=71
~3. The answer is 71/8. The denominator is 8 because the denominator never changes.
………………………………………………………………………………………………
Another way you can do this:
8x8+7
_____ <= And this is how we get 71/8
8
~Therefore the answer is 71/8.
~Hope this helps!
(If you still don’t understand than ask for help! You can ask me if you don’t understand any of the steps!)
I would be glad to answer any questions you have about this problem. :D
PLEASE ANSWER QUICKLY! MATH: mr. Sanford left half of hi fortune to April, his daughter. he left half of the remaining half to his Uncle Jed. He left half of the remaining half to charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune.
Answer:
$240,000
Step-by-step explanation:
Mr. Sanford's fortune is x
He left 1/2x to daughterHe left 1/2*1/2x = 1/4x to Uncle JedHe left 1/2*1/4x = 1/8x to charityHe left the remaining $30,000 to the local animal shelter.Then we got the equation:
x = 1/2x + 1/4x + 1/8x + 30000x = 7/8x + 300001/8x = 30000x= 8*30000x= $240000Mr. Sanford’s fortune was $240,000
Pedro can make $55 in three days mowing lawns. At that rate, how many days will it take him to make $220?
Answer:
I got 12.
Step-by-step explanation:
Divide 55 by 3 to get the amount he makes each day (18.333333, which rounds to 18.33)
Divide the amount he wants to earn by the amount he earns each day (12.00218221, which rounds to 12)
Answer:
12 days
Step-by-step explanation:
First we need to find how much he makes in 1 day:
if $55 in 3 days that means 55/3=$18.33 a day
now 220/18.33≈12 days
Patty is a customer service representative for a company. She earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours. If Patty wants to earn at least $750 this week, which inequality could she solve to find the number of surveys, s, she needs her customers to complete this week? A. 18(s+2.5)>750 B.18(2.5s + 38) >/= 750 C.18(38) +2.5s >/= 750 D.20.5s > 750
Answer:
C.18(38) +2.5s >/= 750
Step-by-step explanation:
If Patty earns $18 an hour, plus an additional $2.50 each time one of her customers completes survey and Patty plans to work 38 Hours then the inequality which shows the earning of atleast $750 is 18(38)+2.5s>=750 which is option C.
What is inequality?Inequality is like an equation which shows the relationship between two or more variables but it is expressed in greater than, less than, greater than or equal to, less than or equal to signs.
How to form inequality?We have been given that the number of surveys is s.
Earning on the basis of hours=18*38
Earning from customer's survey=s*2.50
Earning required by Patty=$750
Inequality which shows atleast $750 earning of Patty is :
18*38+2.50s>=750
we have to use greater than sign because the earning that Patty wants to earn is atleast 750 so it can be equal to or more than 750 dollars.
Hence the inequality will be 18(38)+2.5s<=750.
Learn more about inequality at https://brainly.com/question/11613554
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Terrance makes $12.50 per hour doing landscaping and earned $275 this
week. How many hours did he work?
Answer:
22 hours
Step-by-step explanation:
pay rate = (amount of money)/time
(pay rate) * time = amount of money
time = (amount of money)/(pay rate)
time = $275/($12.50/hour)
time = 22
Answer: 22 hours
Answer:
22 hours
Step-by-step explanation:
We know that Terrance makes $12.50 per hour and he made $275 a week. We can divide 275 by 12.50 :
275 ÷ 12.50 = 22
So Terrance worked 22 hours
Check answer:
22 x 12.50 = 275
Solve the equation. 1 w = -17
Answer:
This equation is solved w=-17
Step-by-step explanation:
Hope it will help :)
Answer:
w = -17
Step-by-step explanation:
Write the sentence as an equation the product of 187 and n is the same as 264
Answer:
i would like to say you divide but not shure im just starting 8th grade but good luck
Step-by-step explanation:
What is x in these equations a) x+4= 7² - 6 b) x+ √4 + 19= 4x +9
Answer:
a) 39
b) 4
Step-by-step explanation:
[tex] {7}^{2} = 7 \times 7 = 49[/tex]
Which of the following best describes the term constructions in geometry?
A: Combining two or more figures together to create a new figure or shape.
B: A way to draw precise figures using a compass and a straightedge.
C: Creating a figure or shape by hand.
D: Places where things are being built that often slow down traffic.
Answer:
B: A way to draw precise figures using a compass and a straightedge.
Step-by-step explanation:
In geometry, the term 'construction' refers to the draw geometrical shapes and figures accurately. The lines, angles, figures, and shapes are drawn with the help of a compass, ruler, and pencil. Arcs and lines are drawn neatly and angles are constructed. The lines and shapes are constructed without known lengths or angles with the help of the compass, pencil, and ruler.
Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..
Answer:
Suku ke 5 adalah 56
Step-by-step explanation:
Harap jawapan tersebut betul
Which graph shows the solution to the system of inequalities below?
Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the
following polynomials?
2x^3+12x-3x+54
-2x^2+15
-2x^3+13x^2+3x-54
O 2x^2-3
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.
A two-digit number is 3 times the sum of the digits. If the digits are reversed, the new number formed is 9 less than three times the original number. What is the two-digit number?
Answer:
27
Step-by-step explanation:
2+7=9.
9x3=27
72+9=81
27x3=81
Write an expression to represent any angle coterminal with the angle 170° (n is an integer).Write an expression to represent any angle coterminal with the angle 170° (n is an integer).
Answer:
angle = 170° + n·360°
Step-by-step explanation:
Any angle that is a multiple of 360°, added to 170° will be coterminal with 170°:
angle = 170° + n·360°
Answer:
55
Step-by-step explanation:
19. Write the perimeter of the rectangle as a
simplified expression.
x - 3
7x + 1
Answer:
16x - 5
Step-by-step explanation:
2(x-3) + 2(7x+1) since there are 4 sides, 2 which have the same dimensions
2x - 6 + 14x + 1 = 16x - 5
The simplified expression of the perimeter of the rectangle should be 16x - 4.
Given that
x - 37x + 1We know that
The perimeter of the rectangle be
= 2(length + breadth)
= 2(x - 3 + 7x +1)
= 2x - 6 + 14x + 2
= 16x - 4
Therefore we can conclude that the simplified expression of the perimeter of the rectangle should be 16x - 4.
Learn more about the rectangle here: brainly.com/question/20733283
Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Answer:
Step-by-step explanation:
Peter can use the 10% of 80 to find 40% by multiplying the 8.7 by 4 because if 10% =8.7 then multiply 8.7 by 4 which is = 34.8 now subtract this from the total, 87-34.8= 52.2 so 40% of 87 is 52.2.
To find out b we need to find out 10% of 64, so we move the decimal which is 6.4, then multiply 6.4 by 4 which is 25.6. then subtract this from the total, 64-25.6= 38.4
6x – у = -9
—12х – 4 y = 0
Answer:
-15
3
Step-by-step explanation:
6x-y=-9
6x-(15)=-9
-12x-4y=0
-12x-4(3) =0
-12-12=0
given a20=100 and a50=400 identify the common difference “d”
Answer:
a20=a+19d
or,100=a+19d
or, a=100-19d--------(I)
again,
a50=a+49d
or, 400=a+49d
or, a=400-49d--------(ii)
equating equations,we get
100-19d=400-49d
or, 30d=300
so, d=10
Step-by-step explanation:
plz mark it as brainliest
A sequence is defined below.
f(0) = 7
f(n) = 2f(n - 1) - 3 for n > 1, where n is an integer
What is the third number in the sequence?
Answer:
35
Step-by-step explanation:
f(0) = 7
f(1) = 2f(0) - 3 = 11
f(2) = 2f(1) - 3 = 19
f(3) = 2f(2) - 3 = 35
What is the domain of g?
Answer:
{ x | -7 ≤ x ≤ 4 }
Step-by-step explanation:
What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?
Answer:
infinite solutions
Step-by-step explanation:
2x-6 = 3x+1-X-7
Combine like terms
2x-6 = 3x-x +1-7
2x-6 = 2x -6
subtract 2x from each side
-6 = -6
Since this is a true statement, x can be any real number
A 11/16-inch-long bolt is used in a machine. What is the length of the bolt written as a decimal? (Please help)
Answer:
0.6875
Step-by-step explanation:
11 divide 16 and you get 0.6875
Answer:
The answer is 11/16=0.6875.