Answer:
El frente de la casa es 6 metros.
Step-by-step explanation:
El area de la casa está dada por el área de un rectángulo:
[tex]A = f*l = x (x+5) = 66[/tex]
En donde f es el frente = x , l es el largo = x+5 y A es el área = 66m²
Si la ecuación cuadrática que define el área del terreno viene dado por:
[tex] x^{2} + 5x - 66 = 0 [/tex]
Resolviendo la ecuación cuadrática para x tenemos:
x₁ = -11 y x₂ = 6
Tomando el valor positivo, podemos decir que el frente de la casa es 6 metros.
Espero que te sea de utilidad!
The length of each side of an equilateral triangle is 74 mm, correct to the nearest millimetre.
Calculate the smallest possible perimeter of the triangle.
Answer:
222mm
Step-by-step explanation:
The perimeter of a triangle is the sum of all of the sides. This triangle is equilateral, which means that all sides are equal and in this case, each side is 74mm. So to find the perimeter of this triangle add each, 74+74+74, which equals 222. Therefore, the answer must be 222mm.
Answer:
the answer is 222 mm.
hope it works
Use the substitution method to solve the system of equations.
3x + 4y = 10
y = x-1
A. (2,3)
B. (2,1)
C. (3,2)
D. (1,2)
Answer:
B
Step-by-step explanation:
3x + 4(x-1) = 10
3x+4x-4=10
7x-4=10
+4 +4
7x=14
/7 /7
x=2
y=(2)-1
y=1
Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?
Answer:
4.8
Step-by-step explanation:
What is the value of |7| + |-3|
Answer:
10
Step-by-step explanation:
7 + (-3) = -10
But it's |7| + |-3| which means it is the absolute value
So 10
Hope this helps :)
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Find the area of the trapezoid. Please help!
Answer:
Area = 1/2 (a + b )h
area = 1/2 ( 22.2 + 8.52 ) 9.86
area = 1/2 ( 30.72) 9.86
area = 1 x 30.72 x 9.86 ÷ 2
area = 151. 4496cm²
Answer:
The area of the trapezoid is 151.45cm sq
A plumber charges a one-time fee of $75 plus a fixed hourly rate, h, in dollars. The plumber works at a customer's house for 2 hours and charges a total of $205.
What is the fixed hourly rate, in dollars, that the plumber charges?
Answer:
$65
Step-by-step explanation:
$205 - $75 = $130
$130 / 2 hours = $65
The hourly rate, in dollars, is $65 per hour.
Which of the table in the image below represents a function?
Table 1
Input: 4, 3, 2
Output: 3, 2, 1
Table 2
Input: 1, 2, 3
Output: 3, 5, 7
Table 3
Input: 0, 1, 1
Output: 0, 4, 5
Table 4
Input: 4, 4, 4
Output: 1, 2, 3
Answer:
A
Step-by-step explanation:
Given the polynomial 5x3−2x2+12, what is the leading coefficient?
******( I"LL GIVE YOU BRAINIEST)!!!******
A. -2
B. 3
C. 5
D. 12
Answer:
a.2
Step-by-step explanation:
Write the equation in point-slope form of the line that contains the points (3,-5) and (5,- 1)
Answer:
y+5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
The linear function passing through points (3,-5) and (5,- 1) is given by:
y = 2x+ 13.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
For this problem, the two points that form the function are given as follows:
(3,-5) and (5,- 1)
The slope is given by change in y divided by change in x, hence it is given by:
m = (y₂-y₁)/ (x₂-x₁)
m = (-1+5)/(5-3)
m = 4/2
m = 2
Then:
y = 2x + b.
When x = 3, y = -5, hence we can find the intercept b of the function as follows:
3 = 2 x -5 + b
b = 3+ 10
b = 13
Hence the equation is:
y = 2x+ 13
More can be learned about linear functions :
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could somebody help please
What number should be included in the data set 9, 12, 8, 3, 11, 19, 23, 30, 21 if the range is 45?
a.46
b.-15
c.-3
d.39
Answer:
b:-15
Step-by-step explanation:
There are 9 num in the set sowe add all the num and the we divide the answer we got
Answer:
The answer is:
b) - 15
Hope it helps:D
John wants to draw a circle graph showing his friends favorite ice cream flavors. When he polled his friends asking each their favorite flavor of ice cream, 35% of his friends aid chocolate, 20% of his friends said vanilla, 15% of his friends said Strawberry, 25% of his friends said mint chocolate chip, and 5% of his friends said flavors other than those previously listed. What will be the degree measure of the vanilla sector of the circle graph?
Answer:72
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer: C {48,65,80}
Step-by-step explanation:
In order for it to be a right triangle it would have to be {48,64,85}
Hope this helps
read the directions answer correctly please
Answer:
Here x=10° ,2x=20° ,5x=50°
Answer:
x = 10.5x =50.2x = 20.hope it helpsThere is 1/3 of a pie shared equally between 5 children. How much of the pie does each child receive?
1/9 pie
1/15 pie
1/18 pie
1/20 pie
Answer:
1/15 pie
Step-by-step explanation:
An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!
(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.
you get 1/15. Hope it helps
Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15
Answer:
Its B, 1/15 hope this helps
Step-by-step explanation:
Approximate the value of (square root)17 to the nearest tenth.
Answer:
4.1
Step-by-step explanation:
√17= 4.12310562561
the nearest tenth is 4.1
Answer:
4.1
Step-by-step explanation:
√17
4.1 (to nearest tenth)
Abigail drew a scale drawing of the oldest house in her town. The actual house is 64 feet long. Abigail's scale drawing is 8 inches long. What scale did Abigail use to draw the house? 8 inches equal 1 foot 8 inches equal 18 foot 1 inch equals 18 foot 1 inch equals 8 feet
Answer:
1 inch equals 8 feet
Step-by-step explanation:
Given that;
Abigail drew a scale drawing of the oldest house in her town.
The actual length of the house = 64 feet long
Abigail scale drawing = 8 inches long
The scale he used in drawing the house is determined by choosing a perfect scale:
i.e
If 8 inches is used to draw an actual length of a house which is 64 feet long,
Then 1 inch should be able to draw (64 feet * 1 inch)/ 8 inches
So, 1 inch should be able to draw 8 feet long
The scale used to draw the given house is required.
The scale used to draw the diagram is 1 inch equals 8 feet.
Scale diagramsActual length of the house = 64 feet
Scale drawing length = 8 inches
So,
[tex]64\ \text{feet}=8\ \text{inches}[/tex]
Now, the inches to feet is required.
So, we divide both sides with 8.
[tex]\dfrac{64}{8}\ \text{feet}=\dfrac{8}{8}\ \text{inches}\\\Rightarrow 8\ \text{feet}=1\ \text{inch}[/tex]
So, 1 inch in the diagram is 8 feet of actual length.
Learn more about scale diagrams:
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Which is the greater fraction
3/4 or 11/16
Answer:
3/4
Step-by-step explanation:
3/4 = 75%
11/16 = about 68%
Therefore, 3/4 is greater
Find the next item in the pattern.
1, 10, 18, 25,...
30
28
38
31
PLS ANSWRR
Step-by-step explanation: It is gradually going up in numbers going down.
From 1 to 10 is 9
From 10 to 18 is 8
From 18 to 25 is 7
So from 25 to 31 is 6.
Hope this helps you! ;)
Answer:
31
Step-by-step explanation:
You add 9, then 8, and so on
Simplify 81 to the negative 3 fourths power. (1 point)
Question 8 options:
1)
−27
2)
negative 1 over 27
3)
27
4)
1 over 27
Answer:
negative 1 over 27
Step-by-step explanation:
81 * negative 1 over 27 = -3
Answer:
[tex] \dfrac{1}{27} [/tex]
Step-by-step explanation:
[tex] 81^{-\frac{3}{4}} = [/tex]
[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]
[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]
[tex] = \dfrac{1}{(3)^3} [/tex]
[tex] = \dfrac{1}{27} [/tex]
Triangle TAG is graphed as shown
Which of the following transformations will move triangleTAG so that point G is at the origin?
Answer:
The transformation is (x,y) to (x-2,y-6)
Step-by-step explanation:
First of all, we note the coordinates of the point G
The coordinates of the point G is (2,6)
To bring this to the origin, we are looking at bringing it to the point (0,0)
To do this, we subtract 2 from the x-value and 6 from the y value
So what we have is that;
(x-2) and (y-6)
(x-2, y-6)
I need the top 2 pls
Answer:
Step-by-step explanation:
7:8 is 7/8
9:5
Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
Answer:
answer will be 67
Step-by-step explanation:
f(x) = 61 - x
x = -6
hence we substitute the value of x in f(x)
f(-6) = 61 - (-6)
= 61 + 6
= 67
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
f(x) = 6(1 - x)
The value of the function at x = -6 will be given as,
f(-6) = 6[1 - (-6)]
Simplify the equation, then we have
f(-6) = 6[1 - (-6)]
f(-6) = 6(1 + 6)
f(-6) = 6 × 7
f(-6) = 42
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
More about the function link is given below.
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Please Help!!!
(screenshot provided)
I have to find the value of X and Y in both questions. This is due today so please help ASAP!
Answer:
2. x=5
y=10
3. x=21
y=4
Step-by-step explanation:
2. 13y=20x+3y 10y=20x
8x+y=180-13y 14y=180-8x
y=2x plugging that into 14y=180-8x 28x=180-8x 36x=180 x=5
plug x into 10y=20x 10y=100 y=10
3. 3(x+y)=(4x-9) 3x+3y=4x-9 x=3y+9
5x=180-4x+9 9x=189 x=21
plug 21 into x=3y+9 21=3y+9 12=3y 4=y
What is the y intercept?
What is the slope?
Write the equation of the line to represent situation.
Answer:
y int is 20
slope = 2
equation: y = 2x + 20
determine whether g(x)=x2-5x+2 has a minimum of maximum
Answer:
g(x) has a minimum
Step-by-step explanation:
Given a quadratic in standard form
g(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Given
g(x) = x² - 5x + 2 ← in standard form
with a > 0 , thus
g(x) has a minimum
Which equations are correct?
Select each correct answer.
[tex]4c^4(3c^2)=12c^8[/tex]
[tex]3b^3(−2b^4)=−6b^12[/tex]
[tex]5y^4(2y^5)=10y^9[/tex]
[tex]5x^3(6x^4)=30x^7[/tex]
9514 1404 393
Answer:
C, D
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
__
The correct equations are the last two.
For the first two, the appropriate products are ...
[tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]
Anna is trying to figure out how much her 10-mile taxi ride is going to cost. It costs $5 to be picked up by the taxi, and each mile costs an extra $2. Which equation should Anna use to calculate her cost?
y= 2x+5
y= 5x+2
y= x^2+5x+10
y=(2)^x
Answer:
y=2x+5
because y is the final cost, x is the amount of miles times 2 since each mile costs $2, and an addition $5 for the taxi-pickup
The amount of tax is $3.40, which is 5% of the food bill. How much was the food bill not including the tax?
If Simon wants to leave a 20% tip on the amount of the food bill before tax, how much should he leave for a tip?
What is Simon’s total bill including tax and tip? What percent of the food bill is this?
Answer:
You are told tax is $3.40 which is 5% of the total priceWe want to find the original food bill not including the tax of $3.40We also want to find the tip quantity based on the original food billSo X * 0.05= 3.40 Gives us X= 68 Hence the original bill was $68Now $68* .20 = $13.6I'm confident you can answer the rest with the information I've provided.Simon is selling candy bars for his class fundraiser. In each box of 56 candy bars, 18 are
peanut, and the rest are dark chocolate. Each dark chocolate candy bar costs $2.25.
If Simon raises a total of $117, selling a whole box, how much does each peanut candy bar
cost?
O $4.00
O $4.25
$2.00
$1.75
Nort
Answer:
it will be 1.75$
Step-by-step explanation:
56-18
38x2.25
117$ - 85.5$
31.5 / 18