Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?
[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]
Hence, the length of the living room in the scale drawing is of 4/3 ft.
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Answer:
The guy above is right its 4/3
Step-by-step explanation:
Hope this helped!!!
Please correct me if i'm wrong! :D
Grade 8 Mathematics level 3
The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
What is an Equation?
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
√( 1 + (25/144) ) = 1 + (x/12)Find the value of x.First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
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a right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?
Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.
What is the sea level about?Note that the first descend was 20.6 - 12.5 =
8.1 feet
Then she drop 32.4 feet again
So to get back up she need to add:
= 32.4 feet + 8.1 feet
= 40.5
Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.
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1. Find the measurement of CD:
2x + 18
a) 6
b) 8
B
c) 24
d) 32
D
8x
А
Step-by-step explanation:
2x + 18
x = 18÷2
x=9
hence the answer is 9
1) How big is a horsefly if 1 cm = 1m?
2) How big is the ghost if 1 cm= 20 cm?
3) How big is the kitty if 1 cm = 10 cm?
11. Evaluate: 5x +1 when x = 2 ? A. -11 C. 6 B. -6 D. 11
help me please
Answer:
11
Step-by-step explanation:
First, you replace x with 2
5×2+1
Then multiplication comes before addition so 5×2
5×2=10
Then just add the 1
10+1=11
Jeff can weed the garden twice as fast as his sister Julia. Together they can weed the garden in 3 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?
Answer:
Jeff, 4.5 hours; Julia 9 hours.
Step-by-step explanation:
To solve the problem, we need to write two equations using the given information.
So, writing the first equation we have:
We know that Jeff can weed the garden twice as fas as his sister Julia, so:
Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:
Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:
We have that Julia could weed the garden by herself in 9 hours.
So, calculating how long will it take to Jeff, we have:
We have that Jeff could weed the same garden by himself in 4.5 hours.
hope this helps!
What is the value of log4 superscript 16?
1
2
4
8
answer ASAP
There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?
Answer:
638 students.
Step-by-step explanation:
girl this is basic math i don’t think i need to explain
the simplified form of 6ab + 14a - 2ab + 3a is:
A) 21ab B) 4ab + 11a C) ab + 7a D) 4ab + 17a E) 4 + 17a
the solution to the equation 2x - 3 = 7 is:
A) x = 2 B) x = -5 C) x = 5 D) x = 6.5 E) x = 0.5
the solution to [tex]\frac{x}{3} -1 =4[/tex] is:
A) x = 13 B) x= 7 C) x = 9 D) x = 15 E) [tex]x=\frac{5}{3}[/tex]
the expanded form of 3(2y - 1) is:
a) 6y - 3 b) 5y - 1 c) 6y - 1 d) 6y + 2 e) 3y - 3
an equivalent equation to 5x = 2x + 9 is:
a) 2x = 5 b) 3x = 9 c) 0 = 3x + 9 d) 7x = 9 e) x = 9
the solution to the equation 2(x - 3) = 7 is:
a) x = 5 b) x = [tex]\frac{13}{2}[/tex] c) x = 2 d) x = [tex]\frac{1}{2}[/tex] e) x =[tex]\frac{7}{3}[/tex]
Eli is x years old. his sister is 2 years older. the sum of their ages is 22. a simplified equation to represent this is:
a) x + 2 = 22 b) 2x + 2 = 22 c) 2(x + 2) = 22 d) x(x + 2) = 22 e) 2x = 22
if A = [tex]\frac{1}{2}[/tex]bh with A = 360 and h = 40, then the value of b is:
a) 90 b) 4.5 c) 20 d) 18 e) 9
Answer:
2) x=5
4) 6y-3
Step-by-step explanation:
2) 2x-3=7
Add 3 on both sides (-3+3 cancel each other out and 7+3 is 10)
Now your equation is 2x=10
Divide 2 from both sides
2x/2 cancel each other and 10/2 is. Therefore, x=5
4) 3(2y-1)
3 times 2y is 6y
3 times -1 is -3 (negative times positive is negative)
Equation: 6y-3
(rounding) 0.46. whats the nearest tenth?
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
verify the identity
sin^3 0 +cos^3 0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Answer:
See below for proof of identity.
Step-by-step explanation:
Since both terms of [tex]\sin^3\theta+\cos^3\theta[/tex] are perfect cubes, we can use the formula [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex] where [tex]a=\sin\theta[/tex] and [tex]b=\cos\theta[/tex]:
[tex]\displaystyle \frac{\sin^3\theta+\cos^3\theta}{\sin\theta+\cos\theta}\\\\\frac{(\sin\theta+\cos\theta)(\sin^2\theta-\sin\theta\cos\theta+\cos^2\theta)}{\sin\theta+\cos\theta}\\ \\\frac{(\sin\theta+\cos\theta)(1-\sin\theta\cos\theta)}{\sin\theta+\cos\theta}\\\\1-\sin\theta\cos\theta[/tex]
Thus, the identity is proven.
how many pop tarts come in a pop tart?
Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x
Answer:
First option
Step-by-step explanation:
The result of first expression:
7(6+z) multiply 7 with inside the parenthesis
7(6+z) = 42 + 7z
the result of second expression:
since we need to do multiplying first,
7*6 = 42 and 7*z = 7z
then we add them
42 + 7z this is the same result we found for the first equation
1. it has at least 10 values. 2. it has at least 3 values that are different. 3. it has a mean and median of 12.
Answer: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
Step-by-step explanation:
First, we can ensure that 12 is the median by putting it in the middle and putting the same amount of numbers to its left and right side. To make the values have a mean of 12, the easy why to do it is to subtrate one as you move to the left and add one as you move to the right, that way they will cancel each other out and keep the mean at 12. The answer has a total of 11 values, has more than 3 values that are different, and has a mean and median of 12.
7+8+9+10+11+12+13+14+15+16+17=132
132/11=12
There are 5 values to each side of 12, making 12 the median.
Please, someone help. I will give brainliest. (I dont need an explanation just an answer please.)
Answer:
C
Step-by-step explanation:
In 3 options, the coefficient of x on both sides is the same. Hence, they will all have no solution. The only one which has exactly one solution is :
C. 6x + 8 = -6x + 20QUICK PLSSS im bout to be grounded
Answer:
35
Step-by-step explanation:
Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.
Answer:
I don't know how to explain
Two Truths and a Lie: Remember, the function has a maximum and an axis of symmetry at x = 2. Two of the following functions could represent this scenario while one cannot. Determine which two could represent the scenario and which one cannot. Explain how you know and show all necessary work to support your reasoning. a) f(x) = −x 2 + 4x + 2 b) g(x) = −(x + 2) 2 − 5 c) h(x) = −2(x − 1)(x − 3)
The functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum
How to determine the function?The functions are given as:
f(x) = -x² + 4x + 2g(x) = -(x + 2)² - 5h(x) = -2(x − 1)(x − 3)A quadratic function can be represented as:
y = ax² + bx + c
y = a(x - h)² + k
In both cases, when a < 0; the function has a maximum.
This means that all three functions have a maximum.
Next, we determine the axis of symmetry:
In y = ax² + bx + c, the axis of symmetry is x = -b/2aIn y = a(x - h)² + k, the axis of symmetry is x = hUsing the above forms, we have:
f(x) = -x² + 4x + 2
Axis of symmetry, x = -4/(2 * -1)
x = 2
g(x) = -(x + 2)² - 5
Axis of symmetry, x = -2
h(x) = -2(x − 1)(x − 3)
Expand
h(x) = -2x² - 8x + 8
Axis of symmetry, x = -8/(2 * -2)
x = 2
This means that f(x) and h(x) have an axis of symmetry of x = 2
Hence, the functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum
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What is the measure of the base of the rectangle if the area
of the triangle is 32 ft2 ?
Answer:
it would be a
Step-by-step explanation:
8x4=32
The base of the given triangle is calculated as: 16 ft
How to find the area of a triangle?The formula that is used to calculate the area of a triangle is expressed as:
Area of triangle= ½ × base × height
We are given that:
Area = 32 ft²
Height = 4 ft
Thus:
32 = ½ × base × 4
32 = 2 * base
base = 32/2
base = 16 ft
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PLease Help me for a brainlist its a math problem please see image attached thanks
Answer:
b
Step-by-step explanation:
the answer is b if values are plugged in to function
Answer:
y = -(x - 2)² - 4
Step-by-step explanation:
The vertex of this function is (2, -4), which is given in the tableThe vertex form an equation is given as :
y = a(x - h)² + kSubstitute the vertexy = a(x - 2)² - 4Substitute any point in the table to find a :
-8 = a(0 - 2)² - 44a = -4a = -1Hence, the final equation :
y = -(x - 2)² - 4Option 2find the surface area of the cube
What is the length of the hypotnuse in a right triangle with sides lengths of 8 and 15
Answer:
Hypotenuse = 17
Step-by-step explanation:
if: a = 8, b = 15 c = hypotenuse:
[tex]c=\sqrt{a^{2}+b^{2} }[/tex]
[tex]c = \sqrt{(8)^{2} +(15)^{2} } =\sqrt{64+225}=\sqrt{289} =17[/tex]
Hope this helps
Emma lends half her collection of anime novels to her friend, Emily. Emma then buys six more novels. If she has 14 books now, how many novels did Sweden have initially?
Answer:
16
(14-6)×2=16 So initially Emma had 16 books.
Give the MOST specific name for the figure shown. A) parallelogram B) quadrilateral C) rhombus Eliminate D) trapezoid
Answer: C
Step-by-step explanation:
Because there are two pairs of opposite parallel sides, it is a parallelogram.
Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.
Which number sentence is not true?
A. |-20| < 20
B. |9| = 9
C. |-20| > |9|
D. |9| < |20|
Answer:
A
Step-by-step explanation:
|-20| = 20 the positive value of -20
20 is not < 20 so A is false
All the rest are true
(B) |9| = 9
(C) |-20| = 20 > 9
(D) |9| = 9, |20| = 20 and 9 < 20
How many solutions does this system
have?
6x+3y = 9
2x + y = 3
Answer:
The system of equation has infinite solution.
Step-by-step explanation
2x + y = 3
6x = 9 – 3y
First we re-write the second equation in standard form
So, we add 3y both sides
6x+3y=9 ---------------- (2)
2x+y = 3----------------- (1)
3(2x)+3y = 3(3)
6x+3y=9
6x-6x + 3y-3y = 9-9
0=0
LHS=RHS
This is true statement. If statement is true then infinite number of many solution.
Answer:
infinite
Step-by-step explanation:
acellus
The figure below is rotated 180° clockwise. What are the coordinates of the image of point A after this transformation?
Answer:
(-2, -1)
Step-by-step explanation:
The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.
If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)
Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.
If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.
Hope this helps :)
15,266,783.93 + 6,332,682.27442 - 92.833 + 20/100 divided by 42
Answer: 21599373.37618
Step-by-step explanation:
what is the value of X, Z, and Y.
Answer:
x= -64°, y= -63°, z=-57°
Step-by-step explanation:
→Solution,
Here,
60°=(-y-3)°[The opposite sides of a parallelogram are equal]
⇒y= -60°-3°
⇒y= -63°
⇒60°+(-2x-8)°=180°[Sum of co-interior angles is 180°]
⇒52°-2x=180°
⇒52°-180°=2x
⇒x= -128°/2
⇒x= -64°
⇒60°+(-2z+6)°=180°[Sum of co-interior angles is 180°]
⇒66°-2z=180°
⇒66°-180°=2z
⇒z= -114°/2
⇒z= -57°