Answer:
I tried out part a) not so sure though. I also think that for part b) u have to convert the m to cm then divide the answers by 50
The real length and width of the dinning room is 7 m and 6.2 m.
The length and width of the lounge in centimeters is 800 cm and 680 cm.
How to convert meters to centimeter and vice versa?To convert the meter to cm, multiply the given meter value by 100 cm.
To convert the measurement from centimeters to meters, divide the number of centimeters by 100 or multiply the number of centimeters by 0.01.
According to the question
A plan of a house is drawn to a scale of 1:50
On the plan, the dining room is 14 cm long and 12.4 cm wide.
In meters:1 m = 100 cm
a. Length of the dinning room = 14 cm = [tex]\frac{14}{100}[/tex] = 0.14 m
Width of the dinning room = 12.4 cm = [tex]\frac{12.4}{100}[/tex] = 0.124 m
Actual length = 0.14 × 50 = 7 m
Actual width = 0.124 × 50 = 6.2 m
Hence, the real length and width of the dinning room is 7 m and 6.2 m
b. Length of lounge = 8 m
Width of lounge = 6.8 m
In centimeters:1 m = 100 cm
Length of lounge (cm) = 8 × 100 = 800 cm
Width of lounge (cm) = 6.8 × 100 = 680 cm
Hence, the length and width of the lounge is 800 cm and 680 cm.
Find out ore information about meters to centimeter here
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Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.
The statistical question is; "What are the ages of the students in this class?
What is a statistical question?A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.
Among the two questions, the statistical question is; "What are the ages of the students in this class?
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Un vendedor de celulaes tiene una meta diaria de venta si al momento lleva el Q.2,000.00 de la meta que equivale el 20%
Answer:
Sales goal, S = Q. 10,000
Step-by-step explanation:
Let the daily sales goal be S.Given the following data;
Amount sold = Q. 2,000.00Percentage of the sales goal = 20%To find his daily sales goal;
[tex] \frac {20}{100} * S = 2000 [/tex]
[tex] 0.2 * S = 2000 [/tex]
Dividing both sides by 0.2, we have;
[tex] S = \frac {2000}{0.2} [/tex]
Sales goal, S = Q. 10,000
Find an equation of the line having the given slope and containing the given point m= - 8, (2,5) The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)
Answer:
Equation of line is y = -8x + 21
Step-by-step explanation:
Slope, m = -8
General equation of line:
[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]
At point (2, 5), y = 5 and x = 2:
[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]
Therefore:
[tex]{ \sf{y = - 8x + 21}}[/tex]
[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]
Please help me solve this I’m really struggling
Answer:
y =x^2 +8x +15
factories form
y =( x+5 )( x+3 )
x intercept where the graph meet the x axis
y = x^2 +8x +15
let y =0
0 = x^2 +8x +15
0 = ( x + 5) (x+3)
o = x+5 or 0 = x+3
-5 = x or x = - 3
x intercept
(-5;0)
(-3 ;0)
axis of symmetry : where you will cut the graph into two half
x = - b/2a
x = - 8/2(1)
x = - 8/2
x = - 4
Domain
XER
Range
y > -1
Klog earns $6.30 per hour. He worked 3.5 hours each day Monday through Friday plus 4 on Saturday. How much did he earn altogether?
Answer:
Klog earned $135.45 altogether.
Step-by-step explanation:
Hours
Monday - Friday : 5 days / 3.5 hours
Saturday : 1 day / 4 hours
3.5 · 5 + 4
= 17.5 + 4
= 21.5
Money
$6.30 per hours / 21.5 hours
6.30 · 21.5
= $135.45
I'LL GIVE BRAINLIEST !!!! FASTERR
please explain how do you get the answer !
Answer:
i) 37
ii) 120
iii) 157
Explanation:
i)
BCA = 180-ACD (Linear Pair)
BCA=180-60
BCA = 120
23+x+BCA=180
143+x=180 (Angle sum property)
x=37
ii) Since triangle ABD is equilateral all of its angles are 60
y+ADC=180
y = 180-ADC (Angles on straight line adds upto 180)
y=180-60
y = 120
iii) Using the values from part i and ii
x+y = 120+37
= 157
Must click thanks and mark brainliest
What is the factored form of the expression x^2-7x-18
Answer:
(x-9)(x+2)
Step-by-step explanation:
x^2-7x-18
What 2 numbers multiply to -18 and add to -7
-9*2 = -18
-9+2 = -7
(x-9)(x+2)
Answer:
Below.
Step-by-step explanation:
x^2 - 7x - 18
-9 * 2 = -18 and -9 +2 = -7 so the factors are:
(x - 9)(x + 2)
HELP PLEASE!! ASAP
If triangles ABC and DEF are similar, what is y? Show your work.
If both triangles are similar then ratio of sides will be same.
[tex]\\ \sf\longmapsto \dfrac{12}{14}=\dfrac{y}{21}[/tex]
[tex]\\ \sf\longmapsto 12(21)=14y[/tex]
[tex]\\ \sf\longmapsto 14y=252[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{252}{14}[/tex]
[tex]\\ \sf\longmapsto y=18[/tex]
Answer:
y = 18
Step-by-step explanation:
Since the triangles are similar, the corresponding sides are in proportion, that is
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AC}{DF}[/tex] , substitute values
[tex]\frac{y}{12}[/tex] = [tex]\frac{21}{14}[/tex] ( cross- multiply )
14y = 252 ( divide both sides by 14 )
y = 18
Combine like terms in the given polynomial. Then, evaluate for x = 4, y = – 2.
xy – 2xy + 3x2 y — 4x y2 + 2xy2
3x2 y + 2xy2 – xy; – 56
C - xy – 2xy2 + 3x2y; – 56
Cx? y2 – 2; 62
C
– 2x y2 + 3x2y – xy; – 120
Need explanation please
Answer:
- 2 x y^2+3 x^2 y -xy
-120
Step-by-step explanation:
xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2
Combine like terms
xy – 2xy + 3x^2 y — 4x y^2 + 2xy^2
- x y+3 x^2 y - 2 x y^2
Let x = 4 y = -2
-(4)(-2) +3(4)^2 (-2) -2(4)(-2)^2
Exponents first
-(4)(-2) +3(16) (-2) -2(4)(4)
Multiply
+8 -96-32
Add and subtract
-120
help me find x please
Answer:
[tex]3\sqrt{3}[/tex]
[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]
Step-by-step explanation:
If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m?
If [tex]5^k^-^1+5^k^-^1=m[/tex], what is [tex]2*5^k[/tex] in terms of m?
A) 5m
B) 5m÷2
C) 5m÷13
D) 5m÷26
Answer:
5m
Step-by-step explanation:
5^(k-1)+5^(k-1)=m
Going to combine like terms on left:
2×5^(k-1)=m
Law of exponents applied:
2×5^k×5^(-1)=m
Reciprocal:
2×5^k×1/5=m
Multiply 5 on both sides to obtain the requested:
2×5^k=5m
How many hundred thousands 90 ten thousands
pls hurry
Answer:
0.9
Step-by-step explanation:
100,000 in 90,000
Apply the distributive property to factor out the greatest common factor of all three terms. {24c + 36d + 18} =24c+36d+18=24, c, plus, 36, d, plus, 18, equals
Answer:
[tex]6(4c + 6d + 3})[/tex]
Step-by-step explanation:
Given
[tex]{24c + 36d + 18}[/tex]
Required
Apply distributive property
We have:
[tex]{24c + 36d + 18}[/tex]
Factor out 6 (to apply distributive property)
[tex]{24c + 36d + 18} = 6(4c + 6d + 3})[/tex]
Hence, the equivalent is:
[tex]6(4c + 6d + 3})[/tex]
Solve for the following. Type your answer using digits. A rectangle with a length ofx−4 and a width of 8 has a perimeter of 34. The value of x is .
Answer:
length = 13
Step-by-step explanation:
length =x-4
width = 8
perimeter =2( x-4) + 2× 8 = 34
= 2x - 8 + 8 =34
= 2x =34
= x = 17
Answer:
x = 13
Step-by-step explanation:
The opposite sides of a rectangle are equal, then
2(x - 4) + 2(8) = 34 ← distribute parenthesis and simplify left side
2x - 8 + 16 = 34
2x + 8 = 34 ( subtract 8 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?
Answer: 34+1.50h
Step-by-step explanation:
Algebraic Equation:
The entrance fee to the waterpark is the intial cost for Leah to get in the park. The amount of hours that Leah will spend at the park is a variable.
You need to add the intial cost and the variable amounts together.
34+h
You put the h in the equation because you don't know how long Leah will spend on the raft. You will be multiply by the rate per hour for a raft.
34+1.50h
Therefore the cost for Leah is 34+1.50.
34 + 1.50h
Therefore, Leah’s cost is 34 + 1.50h.
Write (25x^2 + 30x + 12) in the form (ax + b)^2 + c.
Answer:
25 x^2 + 30 x + 12
Parcelas
Plots
Parcelas
Figura geométrica
parabola
Formas alternativas
x (25 x + 30) + 12
(5 x + 3)^2 + 3
5 x (5 x + 6) + 12
Raíces complejas
x = -1/5 i (sqrt(3) + -3 i)
x = 1/5 i (sqrt(3) + 3 i)
Step-by-step explanation:
antara berikut yang manakah faktor perdana bagi 28 A.1 B.4 C.2 D.28
Answer:
C.2
Step-by-step explanation:
Faktor perdana adalah faktor numbor² bagi sesuatu nombor yang juga merupakan nombor perdana.
Faktor nombor 28 adalah 1 ,2, 4 , 7 ,14 dan 28.
Dalam list nombor perdana ini hanya 2 dan 7 merupakan nombor perdana. Maka , jawapan soalan ini adalah 2.
calculate the area of shaded region
Answer:
528 cm squared
Step-by-step explanation:
A parallelogram (slanted shape at the bottom) is essentially the same area as a rectangle.
Therefore, both shapes have the same measurements.
Multiply the length and height of the rectangle to get its area: 22cm×12cm =264cm squared
Since the area of the rectangle corresponds geometrically to the area of the parallelogram, just multiply the area of the rectangle (264cm squared), by 2.
So 264×2, = 528cm squared
Ta da...
Can someone help me out
Answer:
40.2
Step-by-step explanation:
Circumference = 2πr
Plug in:
2π6.4
6.4 × 2 = 12.8
π = 3.14
12.8 × 3.14 = 40.1920.... = 40.2
The answer is 40.2
Hope this helped.
Answer:
Your answer should be 20.1
Step-by-step explanation:
6.4 x 3.14= 20.096
Rounded to the nearest tenth is 20.1
hope this helps c:
A group of 13 friends all want to ride a roller coaster. The coaster seats 15 in a single file row from front to back. How many ways can they arrange themselves?
Answer:
Step-by-step explanation:
10.5125 rounded to the nearest cent plz help me ty <3
Answer: your answer should be 10.5130
Step-by-step explanation:
For a party Justin buys a pizza and cuts it into 24pieces.Marc eats 1/6 of portion of the pizza and claudine eats 1/4 of what remains after both of them have eaten, Sylvia eats 1/3 of the result.Justin gets to eat what is left over what fraction of the pizza did Justin not eat
Answer:
Justin did not eat 7/12 of the pizza
Step-by-step explanation:
Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over
Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over
Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over
Justin eats 10.
24 - 10 = 14
Justin did not eat 14/24 = 7/12
Numeric Response 4. In an arithmetic series, the first term is -12 and the 15th term is 40. The sum of the first 15 terms is (Record your answer in the numerical-response section below.)
Your answer should be in.0000
In any artihmetic sequence, consecutive terms differ by a fixed constant c. So given the first term a, the second term is a + c, the third terms is a + 2c, and so on, up to the n-th term a + (n - 1)c.
If the 15th term is 40, then
40 = -12 + (15 - 1) c ==> c = 52/14 = 26/7
We can then write the n-th term as
-12 + (n - 1) 26/7 = (26n - 110)/7
The sum of the first 15 terms is then
[tex]\displaystyle \sum_{n=1}^{15}\frac{26n-110}7 = \frac{26}7\sum_{n=1}^{15}n - \frac{110}7\sum_{n=1}^{15}n = \boxed{210}[/tex]
Another way to compute the sum: let S denote the sum,
S = -12 - 58/7 - 32/7 + … + 228/7 + 254/7 + 40
Reverse the order of terms:
S* = 40 + 254/7 + 228/7 + … - 32/7 - 58/7 - 12
Notice that adding up terms in the same position gives the same result,
-12 + 40 = 28
-58/7 + 254/7 = 28
-32/7 + 228/7 = 28
so that
S + S* = 2S = 28 + 28 + 28 + … + 28 + 28 + 28
There are 15 terms in the sum, so
2S = 15×28 ==> S = 15×28/2 = 210
1. 6/5 x 3/4
2. 2/3 x 8/5
3. 5/2 x 4/3
Answer:
hope this might help you
a teacher had 23 pupils to her class. all but 7 of them went on an excursion trip and thus were away for the day. how many students remains in the class that day.
Answer:
16
Step-by-step explanation:
If the teacher had 23 but then 7 had to go away for a trip, then all you do is subtract 23 and 7:
23-7= 16
Thus, the teacher had 16 students that day after the 7 went away.
$108.75 for working 15 hours as a holiday helper wrapping gifts. At this rate, how much money will she earn if she works 18 hours the next week. Explain.
Which expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
I need help with VOCAB!!!Please help ASAP
Answer:
SSS postulate
Step-by-step explanation:
its probab;py wrong im sorry
Answer:
SSS Postulate
Step-by-step explanation:
Since both triangles have 3 congruent sides, then
The triangles are congruent by the SSS postulate
find the missing length for the following trapezoid
Answer:
15 is the answer I think.
Write an exponential function that includes the following points (2,32) and (3,64)
Answer:
y=32x-32
Step-by-step explanation:
This time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense
