A family decided to add a garage onto the side of their house as shown in the picture below. Let x represent the increase in feet of the garage length. The total area can be represented by the expression 20(x + 45). Write the expanded form of this expression to represent the total area of the house and the garage.
Answer:
75
Step-by-step explanation:
87+79=75
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Jandeliz buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the MEASUREMENT error?
1, 0.96
2. 0.1
3. 0.042
4. 0.04
Answer: 0.04
Step-by-step explanation:
The measurement error is calculated as:
= Error / Ideal value
= (2.5 - 2.4) / 2.5
= 0.1/2.5
= 0.04
Therefore, the correct option is D.
Sandi buys some fabric to make a quilt. She needs 1/5 yard of each type of fabric. She has 9 different types of fabrics to make her design. sandi writes the following equation. (Answer: 9)
Answer:
1/5*9
Step-by-step explanation:
if sandi has 9 different types of fabric she would multiply each amount of equal fabric to get the answer so it would be 1/5*9
In AMNP, what is sin M?
12
P
M
5
13
N
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
[tex]11 - 4d = 71[/tex]
help me out hea please♀️
What is the magnitude of the change of Stock A?
Answer:
Step-by-step explanation:
D. 4.15
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?
Answer:
x(x-4)(x+8)
Step-by-step explanation:
Factor.
x(x^2+4x-32)
x(x-4)(x+8)
Plsssssss help i need an answer look in the pic below
Answer:
A. 120 cm²Step-by-step explanation:
10 cm x 12 cm = 120 cm²
Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.
Given:
The expression is:
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
To find:
The value of the given expression when [tex]x=64[/tex] and [tex]y=27[/tex].
Solution:
We have,
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
Putting [tex]x=64[/tex] and [tex]y=27[/tex], we get
[tex]=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}[/tex]
It can be written as
[tex]=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}[/tex]
[tex]=1+4-2(8)[/tex] [tex][\because a^0=1,a\neq 0][/tex]
[tex]=5-16[/tex]
[tex]=-11[/tex]
Therefore, the value of the given expression [tex]-11[/tex] when [tex]x=64[/tex] and [tex]y=27[/tex].
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
Answer:
-972
Step-by-step explanation:
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
If f(1)= 4
f(2) = -3f(2-1)
f(2) = -3f(1)
f(2) = -3(4)
f(2) = -12
f(3) = -3f(3-1)
f(3) = -3f(2)
f(3) = -3(-12)
f(3) = 36
f(4) = -3f(4-1)
f(4) = -3f(3)
f(4) = -3(36)
f(4) = -108
f(5) = -3f(5-1)
f(5) = -3f(4)
f(5) = -3(-108)
f(5) = 324
f(6) = -3f(6-1)
f(6) = -3f(5)
f(6) = -3(324)
f(6) = -972
hence the sixth term of the sequence is -972
(I’m marking brainliest) plzzz help me out!!!
Answer:
14, 16, 18, 20
Step-by-step explanation:
PLEASE HURRRY!!!!!!!!!!!!!
22+2y
hope it helps you ❣❣Mark me as brainliest
Answer: 11 + (2 + Y) type that in and submit
If you are given a quadratic equation explain how you would know whether or not the roots are imaginary
Answer:
depends what u get in the roots whether the number is [tex]\sqrt{9} or \sqrt{-9}[/tex]
if it is square root -9 its gonna be 3i compared to just 3
how do you find the product of (3x+4)^2
each number and variable inside the parentheses has an exponent, in this case all of them are 1.
3^2 * x^2 + 4^2
9*x^2+16
final answer:
25x^2Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
For the given cost function C ( x ) = 19600 + 500 x + x 2 , First, find the average cost function. Use it to find: a) The production level that will minimize the average cost
Answer:
The answer is "140".
Step-by-step explanation:
Calculating the average cost:
[tex]= \frac{C(x)}{x}\\\\ = \frac{19600+500x+x^2}{x} \\\\ = \frac{19600}{x}+500 +x\\\\[/tex]
To minimize average cost we have to find x for wich A'(x)=0
[tex]A(x) = \frac{19600}{x}+500 +x \\\\A'(x) = -\frac{19600}{x^2}+1 \\\\0= -\frac{19600}{x^2}+1 \\\\\frac{19600}{x^2}=1 \\\\19600=x^2 \\\\x=140[/tex]
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.
Jesse bought a car for $25,000. The car
depreciates approximately 10% of its value
each year. What will the car be worth in 5
years?
Answer:
Approximately $14,760 to the nearest 10 dollars.
Step-by-step explanation:
After each year passes the car is worth 100-10 = 90% of the previous year.
So the equation is
A = 25000(0.90)^t where A is the value of the car and t = the time in years.
So in 5 years:
A = 25000(0.90)^5
= 14762.25
frist one to do it gets brainist
Answer:
tennis and chess
Step-by-step explanation:
4/11 divided by 1/7
Answer:
28/11
Step-by-step explanation:
4x7=28
1x11=11
so and: 28/11
hope this helps
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
the equations in the triangle consist of (2x +1) and (5x +5)
1) Carl had nine gallons of gasoline in his motorbike. After driving 115 miles, he has three gallons
left. What is Jamie's rate of change in miles per gallon?
Answer:
asc
Step-by-step explanation:
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
A farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there? Use the variable g to represent goats Use the variable d to represent ducks
Part A: Create a system of equations that can model this scenario.
Part B: Solve the system of equations Algebraically
Answer:g+d=152
g+2d=30
4g+2d=42
4g+2d-(2g+2d)=42-30
4g+2d-2g-2d =12 2g. =12
g=6
d+6=15
d=15-6
d=9
6 goats and 9 ducks
The number of animals are 6 goats and 9 ducks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Number of farmhouse shelters=15
Total number of legs=42
Now,
Part A:
Let's use g to represent the number of goats and d to represent the number of ducks in the farmhouse.
We know that there are 15 animals in total, so:
g + d = 15
We also know that goats have 4 legs and ducks have 2 legs, and there are a total of 42 legs:
4g + 2d = 42
Part B:
We can solve this system of equations algebraically by using substitution or elimination.
Substitution Method:
Solve for one variable in terms of the other in one equation, and substitute into the other equation.
Solve for the remaining variable.
From the first equation, we know that:
g = 15 - d
Substitute g = 15 - d into the second equation:
4g + 2d = 42
4(15 - d) + 2d = 42
60 - 4d + 2d = 42
-2d = -18
d = 9
So there are 9 ducks in the farmhouse.
To find the number of goats, substitute d = 9 into g = 15 - d:
g = 15 - 9
g = 6
Therefore, by the unitary method the answer will be 6 goats and 9 ducks
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ3
Circles C and D overlap. The distance from point C to point D is 7 centimeters. What is the sum of the areas of circle C and circle D? 7Pi units squared 14Pi units squared 49Pi units squared 98Pi units squared
Answer:
98π cm²
Step-by-step explanation:
A circle is a plane figure. A circle is the locus of a point such that its distance from a given point is always constant.
We can see that both circle C and circle D are equal with a radius of 7 cm.
Area of circle C = π* radius² = π * 7² = 49π cm²
Area of circle D = π* radius² = π * 7² = 49π cm²
The sum of the areas of circle C and circle D = Area of circle C + Area of circle D = 49π + 49π = 98π cm²
Answer:
c
Step-by-step explanation:
the perimeter of a rectangle is 32 feet. the length is 3x the width. what is the length? what is the width.
Answer:
The length is 8
The width is 8
Answer:
Step-by-step explanation:
this is about algebra, and my calculus prof. says that all people struggle with algebra, so work on it :D
P = 32 ( the total )
use the formula
P = 2L + 2W
but we are told that L =3W also sooo put that into L
P = 2(3W ) + 2w
32 = 6W + 2W
32 = 8W
4 = W
so width is 4
and length is 12
:)