Answer:
C. 10.5(12 + x) square feet
E. (126 + 10.5x) square feet
Step-by-step explanation:
A. 10.5(12x) square feet
B. (10.5 + 12 + x) square feet
C. 10.5(12 + x) square feet
D. 126x square feet
E. (126 + 10.5x) square feet
F. (22.5 + x) square feet
length of a living room = 12ft
width = 10 1/2 ft
The length of the living room is being expanded by X feet
New length of a living room = 12ft + x feet
new area of the living room = length × width
= 12ft + x feet × 10 1/2 ft
= (12 + x) 10 1/2
Note: 10 1/2 is equivalent to 10.5
= (12 + x) 10.5
= (126 + 10.5x) square feet
Options that applies
C. 10.5(12 + x) square feet
E. (126 + 10.5x) square feet
Which value is equivalent to 5 + 4 × 2?
A) 11
B) 13
C) 18
D) 22
Answer:
C)18
Step-by-step explanation:
5+4=9 9x2=18
18 is your answer.
Answer:
b
Step-by-step explanation:
is 11 1/3 greater than 34/3
Answer:
Equal
Step-by-step explanation:
The two terms are equal.
When you convert 11 1/3 into an improper fraction, it is 34/3.
Take away 8 from 2 times m
Answer:
Take away 8 from 2 times m
2m - 8
Find X and the measure of each angle
Answer:
x = 68
Step-by-step explanation:
sum of interior angles of 5-sided figure is 3(180°) or 540°
5x + 200 = 540
5x = 340
x = 68
53, 13, 34, 41, 26, 61, 34, 13, 69 4) Mean : Median Mode : Range:
Answer:
Mean: 34.8
median:34
Mode: 13,34
Range:65
Step-by-step explanation:
The value of Mean is 34.4
The value of Median is 34 (middle term)
The value of Mode is 13 and 34.
The value of Range is 56.
Here,
The data set is,
53, 13, 34, 41, 26, 61, 34, 13, 69
We have to find the value of Mean , Median , Mode and Range.
What is Range of the data set?
To find Range of the data set we have to find the difference of highest and lowest number of the set.
Now,
The data set is,
53, 13, 34, 41, 26, 61, 34, 13, 69
Firstly we arranged in the ascending order we get;
13, 13, 26, 34, 34, 41, 53, 61, 69
The Mean of data set is calculated as;
Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]
Hence, The value of Mean is 34.4
And, The Median is calculated as,
There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.
Hence, The value of Median = 34 (middle term)
Now, The Mode is the number that appears most often within a data set.
In the data set,
13, 13, 26, 34, 34, 41, 53, 61, 69
Number 13 and 34 repeat two times.
So, The value of Mode = 13 and 34
Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.
Here, In the data set;
The highest number = 69
The lowest number = 13
Hence, Range = 69 - 13 = 56
Therefore,
The value of Mean is 34.4
The value of Median is 34 (middle term)
The value of Mode is 13 and 34
The value of Range is 56
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While making desserts for a bake sale,Paul used 4 scoops of brown sugar as well as 1 1/5 scoops white sugar. How much more brown sugar did Paul use.
Answer:
3 4/5
380%
3.8
plz can i get brainliest
Need the answers for 4-8
Answer:
hope this helps you out ask me if you need more help
Michael left home at 1400 and arrived at his uncle’s home at 1830. What will be the
average speed of his journey if he travelled 108 km?
Step-by-step explanation:
Michael's Journey Time = 4 hours and 30 mins
=
[tex]4.5hours[/tex]
Speed = Distance ÷ Time
Given Distance = 108km
Time = 4.5 hours
Speed =
[tex] \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} [/tex]
My bad the answer is
Answer: 24 kilometers per hour
PLEASE HELP!!!!! I'll make brainliest!
number 3
Step-by-step explanation:
In the following triangle, find the values of the angles B and B, which are the
best approximations to the solutions to this ambiguous case?
10
8.2
8.2
)45°
B
BY
A. B = 55° or B = 125°
B. B = 67° or B = 102.2°
C. B = 62.4° or B = 117.6°
D. B = 59.6° or B = 120.40
Answer: option D. B = 59.6° or B' = 120.4°
Step-by-step explanation:
Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by
10/sin(B)=......
and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.
(why the closed? because the question said it is "approximated")
The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
What is triangle ?Triangle is a three sides two dimensional surface having three angles.
We have,
A triangle in which,
One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.
And the side opposite to angle B is 10.
Now,
Using the law of sine,
i.e.
[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]
So,
According to the given triangle,
We get,
[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]
We get,
[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]
On solving we get,
⇒
[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]
i.e.
[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]
So,
The option C is the correct answer.
Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.
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iLL GIVE BRAINLIEST IF YOU ANSWER THEM
Answer:
Step-by-step explanation:
Urgent!!
A video game is listed for $110 and is on clearance for 40% off. Sales tax is 7%. What is the cost of the video
game?
Answer:
$70.62
Step-by-step explanation:
110 x 0.6=66
66x0.07 + 66=$70.62
HELPPP hurryyy please
Answer:
C) x < 6
Open circle is no line under, closed circle has a line under.
The arrow also goes left so x must be less than 6
HELP HELP HELP !!
use the chart in 4 for 5 pls ! ( DON'T ANSWER QUESTION 4, IT'S 5 )
Answer: First one is J second is B
Step-by-step explanation:
pls help and neatly show work
Answer:
Step-by-step explanation:
(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)
x^2 + 15x + 50
(x + 5)(x + 10)
x = -10
Step-by-step explanation:
a
(x+5)(2x+7)-(x+5)(x-3)
factorize (x+5) out
(x+5)[(2x+7)-(x-3)]
(x+5)(2x+7-x+3)
(x+5)(2x-x+7+3)
(x+5)(x+10)
b. to get the zeros of the equation,
(x+5)(x+10)=0
x+10=0
x=-10
since the other one has been found already
Dr. Garica is twice as old as his son. Twenty years ago he was 4 times as old as his son was then. How old are they now?
Answer:
Let's let g = Dr. Garcia's age and s = his son's age.
g = 2s, right?
20 years ago, Dr. Garcia was g - 20 years old. He was also 4(s - 20), 4 times his son's age 7 years ago.
g - 20 = 4(s - 20)
g - 20 = 4s - 80
In the first equation, we have g = 2s. We are going to substitute this g into the second equation.
2s - 20 = 4s - 80
60 = 2s
s = 30
So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.
20 years ago, his son would have been 10 and Mr. Garcia would have been 40. 10 x 4 = 40.
Step-by-step explanation:
Brainliest?
Answer:
Dr. Garcia's age is 60, and his son's age is 30.
Step-by-step explanation:
Let x be Dr. Garcia's age, and y his son's age.
1. Dr. Garcia is twice as old as his son
x = 2 y
2. Twenty years ago, he was 4 times as old as his son was then
x - 20 = 4 (y - 20)
Substitute x in 2 and solve for y:
2 y - 20 = 4 (y - 20)
2 y - 20 = 4 y - 80
- 20 = 2 y - 80
60 = 2 y
y = 30
Put y back into 1:
x = 2 (30)
x = 60
So Dr. Garcia's age is 60, and his son's age is 30.
what is the order of the numbers from least to greatest?
-4, 9, 6, -8, -9
please help! whats the correct order
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
negatives are less than positives,
Help with this pls I’ll give 20 Points
Answer:
La respuesta es c
Step-by-step explanation:
Billy has $16.30 in dimes and quarters. If he has a total of 88 coins, how many of each type of coin does he have?
Answer:
38 dimes, 50 quarters
Step-by-step explanation:
Let d = dimes
Let q = quarters
d + q = 88
d = 88 - q
0.10d + 0.25q = 16.30
0.10d + 0.25q = 16.30
0.10(88 - q) + 0.25q = 16.30
8.8 - 0.10q + 0.25q = 16.30
8.8 + 0.15q = 16.30
0.15q = 7.5
q = 50
d = 88 - q
d = 88 - 50
d = 38
PLEASE HELP
Lateena solved the equation below. Is her solution correct? Explain why or why not.
Answer:
it isn't correct
[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]
Answer:
her solution isn't correct .
because she had done a slight mistake in her calculation.
i.e.
[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]
Step-by-step explanation:
solution given:
x²-6x-7=0
making it a perfect square
we must make it on the form of (a+b)²or(a-b)²
so
x²-2*3*x+3²-3²-7=0
(x-3)²-9-7=0
(x-3)²-16=0
adding 16 on both aide
(x-3)²=16
doing square root on both side
[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]
x-3=±4
taking positive
x-3=4
adding 3 on both side
x=7
and.
taking negative
x-3=-4
adding 3 on both side
x=-4+3
x=-1
x=-1 or 7
If the scale factor of the point X (-10,4) is 2/5. Then determine the coordinates of the dilated point X’.
A. (-4, 2.6)
B. (-4, 1.6)
C. (-4, 8)
D. (-4, 1.8)
The answer is C.
Can I get brainliest please
Answer:
(-4, 1.6)
Step-by-step explanation:
2x +10
what does this equal
Answer:
x=5
Step-by-step explanation:
2x+10
______
2 2
x=5
Answer:
x = 5
Step-by-step explanation:
Step 1: Get the variable alone
Divide x from both sides.
2x + 10
2 2
Step 2: 10 divided by 2
10 divided by 2 equals 5
Answer: x = 5
Which is closest to the area of the figure?
A 96 square units
B 86 square units
C 80 square units
D 72 square units
helpppppppppppplppppppp
Answer:
17 cm
Step-by-step explanation:
By Pythagoras Theorem
[tex]k = \sqrt{ {15}^{2} + {8}^{2} } \\ \\ k = \sqrt{ 225+ 64 } \\ \\ k = \sqrt{289} \\ \\ k = 17 \: cm[/tex]
I need help lol. Please dont give me a random link to download just the answer please.
Answer:
(p +1) (4p - 5)
Step-by-step explanation:
1.) Look for 2 numbers that subtract and equal to the middle term (-1)
2.) 4 and 5
3.) 4p^2 +4p-5p - 5
4.) Factor out common factors by grouping the equation by two
5.) 4p(p+1) -5(p+1)
6.) group
7.) (4p - 5) (p+1)
HELPPP how do i write an exponential function?!
the table is
x: 0 1 2 3
y: 1 7 49 343
Answer:
[tex]7^{x}[/tex] or "7 to the power of x"
Step-by-step explanation:
Ok! So an exponential function is a function with a variable as an exponent.
x y
0 1
1 7
2 49
3 343
An example exponential function is [tex]2^{x}[/tex]
Now! Let's look at what number multiplies by each of our "y" values to get the following "y" value. 7!
Now let's see if we can put 7 to the power of x ([tex]7^{x}[/tex]) to get the rest of our table.
[tex]7^{0}[/tex] = 1
[tex]7^{1}[/tex] = 7
[tex]7^{2}[/tex] = 49
[tex]7^{3}[/tex] = 343
Now, we know our exponential function is [tex]7^{x}[/tex]
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Justin has scored 27, 20, and 26 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 25 points per game? points
Answer:
27
Step-by-step explanation:
The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care
Steven wants to buy a new video game. He needs at least $48. He has $26.00 saved. His brother said he would pay him $5 an hour to help him with his
homework. Which inequality can be used to determine the amount of hours, h, Steven must help his brother so that he has enough money for video game?
48 - 26h > 5
В.
5h + 26 2 48
С
26h + 5 2 48
D
26 +5h48
Find the length of the missing side of the triangle.
24 ft
45 ft
The length of the missing side is
ft.
?
Answer:
51 ft
Step-by-step explanation:
a^2 + b^2= c^2
24^2 + 45^2 = c^2
c= 51
Answer:
it is 51 ft for the answer
Please I need an answer asap
Answer:
N= 4
Step-by-step explanation:
y^3 * y^n
_______ = y^6
y
First we multiply the 2 y's together to get
y^n+3
____ = Y^6
Y
Then we will multiply y to both sides
y^n+3 = y^7
Get rid of y
n+3 = 7
n=4