The actual area of the bedroom is bigger than the actual area of the kitchen.
The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth.
In the drawing, the kitchen is in the shape of a rectangle with dimensions of 12 cm × 27 cm.
Therefore, the area of the rectangle will be:
Area = Length × Breadth
Area = 12 cm × 27 cm
Area = 324 cm²
Now, the actual area of the bedroom is 300,000 cm².
Then the difference between the area,
difference = bedroom - kitchen
difference = 300,000 - 324 cm²
difference = 299676 cm²
Therefore, the area of the bedroom is bigger than the area of the kitchen.
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Necesito saber entre cuánto multiplicar para tener 3 de resultado15x?
= 3
Step-by-step explanation:
when you use 3 por multiply the answer is 5×
(5×)+3
Solve each equation. Check for extraneous solutions. 3√2 x+6=18
The solution of the equation 3√2 x + 6 = 18 is 2√2.
An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
A formula known as an equation uses the equals sign (=) to express how two expressions are equal.
Consider the equation,
3√2 x + 6 = 18
Subtracting 6 from each side of the equation.
3√2 x + 6 - 6 = 18 - 6
3√2 x = 12
Dividing each side of the equation by 3.
( 3√2 x / 3 ) = ( 12/3 )
√2 x = 4
Dividing each side of the equation by √2.
( √2x/√2 ) = ( 4/√2 )
x = 2√2
Now checking the extraneous solution:
x = 2√2
[tex]3\sqrt{2}x + 6 = 18\\ 3\sqrt{2} \times 2\sqrt{2} + 6 = 18\\ 6(2) + 6 = 18\\ 18 = 18[/tex]
The solution for the equation is 2√2.
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Jocelyn has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 170 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?
she needs to make 12 visits to the movie theatre to earn the rest of the 145 points and get a free movie ticket.
We are given that:
Jocelyn received 25 reward points just for signing up.
She earns 12.5 points for each visit that she makes to the movie theatre.
The free movie ticket is available when she has 170 points with her.
Points to be collected more for a free movie ticket will be:
Points = 170 points - 25 points = 145 points.
So, the number of visits she has to make to the movie theatre will be calculated with the help of division.
Number of visits = 145 points / 12.5 points
Number of visits = 11.6 visits that is 12 visits.
Therefore, she needs to make 12 visits to the movie theatre to earn the rest of the 145 points and get a free movie ticket.
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3 2/5 minus 2 1/9 please help the test is due today and I’m not finding any help for this one also if you answer this explain the answer
Answer: 1.29
Step-by-step explanation: 2/5 = 0.4.
1/9 = 0.1111...
So, 3-2 = 1.
0.4-0.1111 = .28888889 (its repeating so you are going to have a rounded number)
3-2= 1 --- .4 - .1111 = 2.8888889
= 1.288889 (The 8's are not exact as they keep repeating)
Round up to 1.29 and it will be correct.
Hope this helped:)
Solve each equation by factoring. Check your answers.
3 x²+8 x+4=0
The factors for given equation are -2/3 and -2.
Rewriting the equation firstly -
3x² + 8x + 4 = 0
ax² + bx + c = 0
Factorizing the equation as per mentioned two rules -
Sum of the factors should be equal to b (8 in this question)Product of the factors should be equal to product of a and c (12 in this question)6 and 2 are the suitable factors for given expression -
3x² + 6x + 2x + 4 = 0
3x (x + 2) + 2(x + 2) = 0
(3x + 2) (x + 2) = 0
3x + 2 = 0
3x = -2
x = -2/3
x + 2 = 0
x = -2
So, the two factors of equation are -2/3 and -2.
To check the factors, we will keep the value of x in equation -
When x = -2/3
3x² + 8x + 4 = 0
3(-2/3)² + 8(-2/3) + 4 = 0
3(4/9) - 16/3 + 4 = 0
4/3 - 16/3 + 4 = 0
Multiplying the equation with 3/4
1 - 4 + 3 = 0
- 3 + 3 = 0
0 = 0
When x = -2
3x² + 8x + 4 = 0
3(-2)² + 8(-2) + 4 = 0
12 - 16 + 4 = 0
- 4 + 4 = 0
0 = 0
Since for both values of x, Left hand Side and Right Hand Side of equation is same, the two resultant factors are correct.
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A woman looks out a window of a building. She is 94 feet above the ground. Her line of sight makes an angle of θ with the building. The distance in feet of an object from the woman is modeled by the function d=94 secθ. How far away are objects sighted at angles of 25° and 55°?
The required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.
Function and values in trigonometry identityTrigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given the trigonometry identity;
d=94 secθ.
If the object is sighted at an angle of 25°, then;
d=94 sec25
d = 94 × 1/cos25
d = 94 × 1.1033
d = 103.71feet
If the object is sighted at an angle of 55°, then;
d=94 sec55
d = 94 × 1/cos55
d = 94 × 1.7434
d = 163.88feet
Hence the required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.
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2x + 9 = x + 12 What’s is the answer to this question
1. 0.9+0.03+0.007? 2. 20 +0.7 + 0.08 + 0.006 3. 5 + 0.01 _0.009
Answer: 1. 0.937
2. 20.786
3. 35.001
Step-by-step explanation:
1. 0.9+0.03+0.007=
0.900+0.030+0.007=0.937
2. 20 +0.7 + 0.08 + 0.006=
20.000 +0.700 + 0.080 + 0.006=20.786
3. 35 + 0.01 - 0.009=
35.000 + 0.010 - 0.009=
35.010 - 0.009=35.001
Which equation defines a line that best fits all the points on the graph
The equation that best fits all the points on the graph is y = -2x + 3.
What is the line of best fit?The line of best fit is a line that can be drawn to connect most of the points on the graph. In other words, it best fits the points.
Using a linear regression tool, input the coordinates that are on the graph including:
(-4, 10) (-2, 8) (-1, 5) (1, 3) (2, 0) (2, -3)
The formula you get for line of best fit would be:
y = -2.08564x + 3.01259
Rounding up gives:
y = -2x + 3
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Write two numbers that multiply to the value on top and add to the value on bottom.
100 on top
-20 on bottom
Answer:
-10 and -10
Step-by-step explanation:
Can you use the same number twice?
7
Factor the expression below.
O A. 9(x²-2x+9)
O B.
(x-9)(x + 9)
O C.
(x-9)(x-9)
O D. (x + 9) (x + 9)
4
12 181 +81
_what is this this is futo balis subina to amake dis_
Pluto is approximately 2.7 miles from the Sun. Venus is approximately 6.7 miles from the Sun.
Approximately how many times greater is the distance of Pluto from the Sun than the distance of Venus from the Sun?
Answer:
C. 40 times greater is the distance of Pluto from the Sun than the distance of Venus from the sun.
Solve the following system of equations graphically on the set of axes below.
y= 2x-2
x+y= 4
Answer:
[tex]x = 1 + \frac{y}{2} \\ \\ x = 4 - y \\ y = 4 - x[/tex]
Step-by-step explanation:
[tex]1. \: y + 2 = 2x \\ 2. \: \frac{y + 2}{2} = x \\ 3. \: 1 + \frac{y}{2} = x \\ 4. \: x = 1 + \frac{y}{2} \\ \\ \\ 1. \: x = 4 - y \: or \: y = 4 - x[/tex]
3x+2y−z=82x+2z=−4x+3y=4
Enter your answer, in the form (x,y,z), in the boxes in simplest terms.
Answer: (1/14, 10/7, -13/14)
Step-by-step explanation:
3x+2y−z=82x+2z=−4x+3y=4 ==> convert this to system of equations
3x+2y−z=4
82x+2z=4
−4x+3y=4
(3x+2y−z=4)*2
6x+4y−2z=8 ==> add this equation
82x+2z=4 ==> add this equation
88x+4y=12 ==> add the top 2 equations
(−4x+3y=4)*4
-16x+12y=16
(88x+4y=12)*3 ==> multiply by 3 to get 12y
264x+12y=36
-16x+12y=16
264x-(-16x)=36-16
264x+16x=20
280x=20
280x/280=20/280
x=1/14
−4x+3y=4
−4(1/14)+3y=4
-4/14 + 3y=4
-2/7 + 3y=4
(-2/7 + 3y=4)*7 ==> multiply equation by 7 to remove fractions
-2+21y=28
21y=30
y=30/21
y=10/7
3x+2y−z=4
3(1/14)+2(10/7)−z=4
3/14 + 20/7 - z=4
(3/14 + 20/7 - z=4)*14 ==> multiply equation by 14 to remove fractions
3 + 20*14/7 - 14z=56
3 + 280/7 - 14z=56
3+40-14z=56
43-14z=56
43-43-14z=56-43
-14z=13
z=-13/14
Answer: (1/14, 10/7, -13/14)
charlotte is driving at 69.6 mi/h and receives a text message. she looks down at her phone and takes her eyes off the road for 4.06 s. how far has charlotte traveled in feet during this time?
Charlotte traveled in 414.44 feet during the time when she looks down at her phone and takes her eyes off the road for 4.06 s.
The first step is to convert miles per hour to feet per second.
(69.6 mi/hr)* (5280 feet/mi)*(1 hr/3600 sec) = 102.08 feet/sec
We know that,
Speed = [tex]\frac{Distance}{Time}[/tex]
Here, we have given,
Time = 4.06 s
Speed (feet/sec) = 102.08 feet/sec
We need to find, the distance charlotte traveled in feet during the time when she looks down at her phone and takes her eyes off the road for 4.06 s.
Putting the values in the formula, we get
Distance = Speed x Time
= 102.08 x 4.06
= 414.44 Feet
Hence, charlotte traveled in 414.44 feet during the time when she looks down at her phone and takes her eyes off the road for 4.06 s.
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Evaluate
2(-5)(-1)(-1)
Answer:
-10
Step-by-step explanation:
[tex]2\left(-5\right)\left(-1\right)\left(-1\right)\\(-5)(-1) = |5|\\= 2 \times 5\left(-1\right)\\2 \times 5 = 10\\10 \times |-1| = -10\\= -10[/tex]
Answer:
-10
Step-by-step explanation:
Let's solve the problem,
→ 2(-5)(-1)(-1)
→ (2 × -5) × (-1 × -1)
→ -10 × 1 = -10
Thus, the answer is -10.
m-a=n-p, solve for a
Answer:
m + n + p = a
Step-by-step explanation:
m - a = n- p
M = a - n - p
M + n = a - p
M + n + p = a
Please Answer Need Badly Will give Brainlyest
What is 9+9
Answer:
that is definitaly 18
Step-by-step explanation:
i will break it down 3+3+3=9 3+3+3=9 again 9+9=18
[tex]answer[/tex]
18
Step by step formula:Break it down: 3+3+3= 9, Another 3+3+3= 9 (3 addition in 6 places will give 18). 9+9 = 18
Please help and find the value of x at the bottom.
The value of x in the triangle is 100 units.
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees.
The triangles formed are similar, therefore, they form a ratio or proportion.
Therefore, using similarity principle of triangles,
36 / 60 = 60 / x
cross multiply
36x = 60 × 60
36x = 3600
divide both sides by 36
36x = 3600
36x / 36 = 3600 / 36
x = 100
Therefore, the value of x in the triangle is 100 units.
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Which of the following statements is true?
A) Two shapes are congruent if their corresponding angles are congruent.
B) Two shapes are not congruent if their corresponding sides and corresponding angles are
congruent.
C) Two shapes are congruent if their corresponding sides and corresponding angles are
congruent.
D) Two shapes are congruent if their corresponding sides are congruent
Answer:
Two shapes are congruent if their corresponding sides and corresponding angles are congruent.
Step-by-step explanation:
This is the definition of congruency.
help me please
show your solution
Step-by-step explanation:
the first suspicion we get from the first terms is that the creation algorithm is a multiplication by 3.
-1/3 × 3 = -1
-1 × 3 = -3
-3 × 3 = -9
then the next term would be
-9 × 3 = -27
and the next
-27 × 3 = -81
and the 7th term, that we have already defined, would be
-81 × 3 = -243
we are correct !
so, the missing terms are
-27, -81
I need the word problem translated to an inequality.
Half of 7 added to product of h and 4 is at least 1
Based on theword problem, the inequality of the word problem is 7/2 + 4h >= 1
What are inequalities?Inequalities are used to represent expressions that do not have equal values i.e. unequal expression
How to translate the word problem to an inequality?The word problem is given as
Half of 7 added to product of h and 4 is at least 1
At least 1 means greater than or equal to 1
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ Half of 7 added to product of h and 4 >= 1
The product of h and 4 means 4h
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ Half of 7 added to 4h >= 1
Half of 7 means 7/2
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ 7/2 added to 4h >= 1
added to means +
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ 7/2 + 4h >= 1
Hence, the inequality of the word problem is 7/2 + 4h >= 1
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ANSWEE ASAPP !!!
what point do the equations y=2x+1 , y=3x+1 and 5x+1 have in common?
a) 2,0
b) 0,3
c) the origin
d) they have no point in common
e) 0,1
the answer is the 0,1 because the lines all have different slopes but always start at 1.
A cool rock is quickly rolling down one side of a volcano. Compared with the same mass of hot lava that is slowing flowing down the other side, the rock has _____.
1. more thermal energy and more mechanical energy
2. less thermal energy and more mechanical energy
3. less thermal energy and less mechanical energy
4. more thermal energy and less mechanical energy
When the cool rock that is rolling down the side of the volcano is compared to the mass of hot lava that is slowly flowing, the rock has 2. less thermal energy and more mechanical energy.
What is mechanical energy?The mechanical energy that an object has refers to the combination of kinetic and potential energy. The rock will have more mechanical energy than the hot lava as it is moving faster.
Thermal energy on the other hand refers to how much heat/ energy is in an object. The rock is cool as opposed to the hot lava which would have more thermal energy as a result of its heat.
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BRAINLY ASAP PLS
i need help
Answer:
option 4 and option 3
Step-by-step explanation:
(3)
using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](x^{\frac{3}{2}) } ^{6}[/tex]
= [tex]x^{\frac{3}{2}(6) }[/tex]
= [tex]x^{9}[/tex]
(4)
using the rule of exponents/ radicals
[tex]x^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{x^m}[/tex] , then
7[tex]x^{\frac{2}{3} }[/tex]
= 7 × [tex]\sqrt[3]{x^2}[/tex]
= 7 [tex]\sqrt[3]{x^2}[/tex]
1 point If the distance from A(1, 6) to B(x, -2) is 10, then what is a possible value for x? (A) 11 (B) -5 (C) -7 (D) 8 (E) 6
Answer:
B
Step-by-step explanation:
calculate the distance between A and B using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (1, 6 ) and (x₂, y₂ ) = B (x, - 2 )
d = [tex]\sqrt{(x-1)^2+(-2-6)^2}[/tex]
= [tex]\sqrt{(x-1)^2+(-8)^2}[/tex]
= [tex]\sqrt{(x-1)^2+64}[/tex]
given AB = 10, then equating gives
[tex]\sqrt{(x-1)^2+64}[/tex] = 10 ( square both sides to clear the radical )
(x - 1)² + 64 = 10² = 100 ( subtract 64 from both sides )
(x - 1)² = 36 ← take square root of both sides
x - 1 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 1 to both sides )
x = 1 ± 6
then
x = 1 - 6 = - 5
x = 1 + 6 = 7
from the list then x = - 5 is a possible value
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Carson is a waiter at a restaurant. Each day he works, Carson will make a guaranteed
wage of $35, however the additional amount that Carson earns from tips depends on
the number of tables he waits on that day. From past experience, Carson noticed that
he will get about $6 in tips for each table he waits on. How much would Carson
expect to earn in a day on which he waits on 18 tables? How much would Carson
expect to make in a day when waiting on t tables?
The total amount earned when he waits 18 tables is $143
The total amount earned when he waits t tables is $35 + $6t
What is the total amount earned?The equation that can be used to determine the total amount Carson earns is a linear equation. A linear equation is an equation that when drawn on a graph yields a straight line.
A linear equation increases by a constant amount. The highest power of a variable in a linear equation is 1.
The form of a linear equation is y = a + bx
Where:
a = y-intercept b = x interceptTotal amount earned = guaranteed wage + (tip per table x total number of tables he waits)
Total amount earned when he waits 18 tables: $35 + ($6 x 18)
$35 + $108 = $143
Total amount earned when he waits t tables: $35 + ($6 x t)
$35 + $6t
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Brice worked for 31.5 hours this week. Two-thirds of this time was spent working from home. How many hours did he spend working from home?
Answer:
21 hours
Step-by-step explanation:
If he worked 2/3 at home you need to divide 31.5 by 3 = 10.5
Then multiply by 2 = 21
Hope this helps! Have a great day :)
Find the area and perimeter.
Answer:
Area: 6[tex]x^{2}[/tex] - 8x
Perimeter: 10x - 8
Step-by-step explanation:
Area:
Multiple the 2 sides together
2x(3x -4) Distribute the 2x
2x(3x)- 2x(4)
6[tex]x^{2}[/tex] -8x
Perimeter:
Add the four sides together
3x -4 + 3x -4 +2x + 2x Combine like terms
10x - 8
A regulation for riding a certain amusement park ride requires that a child be between 30 inches and 50 inches tall. Provide an inequality that can be used to determine whether or not a child's height "h" satisfies the regulation for this ride.
the inequality to determine if a child's height satisfies the regulation is:
30in < h < 50 in.
How to write the inequality?Here we know that the allowed height of the child can be any value between 30 inches and 50 inches (not included, so we need to use the symbols > and <)
So, if we define h as the height, then h must be larger than 30 inches, so we can wrte:
h > 30 in
And h must be smaller than 50 inches, then:
h < 50 in.
If we write these two inequalities as one, we get:
30in < h < 50 in.
That is the inequality to determine if a child's height satisfies the regulation.
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