Answer:
x = -3Step-by-step explanation:
Given,11x - 16 = -49
=> 11x = - 49 + 16
=> 11x = -33
[tex] = > x = \frac{ - 33}{11} [/tex]
=> x = -3 (Ans)
Answer:
x=-3
Step-by-step explanation:
1. Add 16 to both sides of the equation
11−16=−49
11−16+16=−49+16
2. Simplify.
IF you add the numbers you will get:
11x=-33
3. Divide both sides of the equation by the same term
11=−33
11/11=−33/11
4. Simplify.
x=-3
Hope this helps :)
use mathematical induction to prove the statement is true for all positive integers n. 6 + 12 + 18 + ... + 6n = 3n(n + 1)
Answer:
Step-by-step explanation:
6+12+18+....6n=3n(n+1)
Proof by induction
True for n = 1
6 = 3(1)(1+1)
Assume true for n = k
6+12+18+....6k=3k(k+1)
Then show that
6+12+18+....6(k+1)= 3(k+1)(k+1+1)
We add 6(k+1) to both sides of
6+12+18+....6k=3k(k+1)
6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)
= 3(k+1)(k + 2)
= 3(k+1)(k+1+1)
So true for n = k+1
Since true for n=1 it is true for n=2,3,...
Thus true for all natural numbers n by mathematical induction
please tell me what this answer is
PLEASE HELP ME :)))Micheal is making scale drawings of rectangular rooms using a scale of 1in to 1 1/2 feet
Answer:
a) 256 ft^2 No
b) 150 ft^2 Yes
c) 300 ft^2 NO
d) 192 ft^2 Yes
w=8.5 in
l=11 in
A=w•l
A=8.5•11=93.5 in^2
Scale:
1in:1.5 ft
1in^2:2.25 ft^2
1in ^2. 2.25ft^2
93.5 in^2. Xft^2
X=2.25•93.5
X=210.375
Step-by-step explanation:
The required answers are below the scale drawings for each of these rooms:
a. 16 feet by 16 feet: No
b. 10 feet by 15 feet: es
c. 15 feet by 20 feet: NO
d. 12 feet by 16 feet: Yes
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
a. 16 feet by 16 feet:
The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.
Answer: No.
b. 10 feet by 15 feet:
The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.
Answer: Yes.
c. 15 feet by 20 feet:
The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.
Answer: Not.
d. 12 feet by 16 feet:
The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.
Answer: Yes.
Learn more about the Scale images here:
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please help i’ll give brainliest if you help thanks
Answer:
84
Step-by-step explanation:
What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.
Please let me know if you need any more help. Hope this helps!
pizza HELP me this is really important answer for both questions
3. In a given city, the number of rainy days and the number of sunny days are recorded.
A. If 15% of days are sunny and the rest are rainy, what is the ratio of sunny days to rainy days? B. If 50% of days are sunny and 50% of days are rainy, what is the ratio of sunny days to rainy days?
Answer:
i think the ratio for the first is 1:5 and the other is 1:1
Step-by-step explanation:
have a nice day
You want to frost a 13 in. by 9 in. cake that you just baked when you notice your little brother ate a piece right out of the middle. What area of cake is left to be frosted if he ate a 2 in. by 2 in. piece? no links pls :) thanks will give brainliest
Answer:
113 inches
Step-by-step explanation:
13 times 9 is 117 inches (this is the area for the whole cake)
2 times 2 is 4 (this is just the middle)
But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.
117-4 is 113 so the area now is 113 inches
You go to dinner with your family. The bill before tax is $60.00. How much is your bill when 7.25% tax added on?
Please help I only have one try. I don't get it because when I plug in the pairs, all of them are not true.
Answer:
The answer would be the third one (12,0)
Please helppp I’m In desperate help
Answer:
330
Step-by-step explanation:
Hello There!
The shown figure is a trapezoid with the following dimensions:
Height - 11m
Base 1 - 41m
Base 2 - 19m
Given this information we need to find the area
Remember the formula for the area of a trapezoid is
[tex]A=\frac{a+b}{2} h[/tex]
where a and b are bases and h is the height
Because we are given all of the information needed to calculate the area all we have to do is plug in the values into the formula
So...
[tex]A=\frac{19+41}{2} 11\\19+41=60\\\frac{60}{2} =30\\30*11=330\\A=330[/tex]
In conclusion the area of the figure is 330 square units
Help meeeeeee no links plz you are very kind I really appreciate people like you.
Answer:
225 ft²
Steps:
(20×10)+5² = 200+25 = 225 ft²
Answer: 225ft^2
Step-by-step explanation:
ABC is dilated by a scale factor of 1/2 to produce A’B’C’. What is A’B, the length AB after the dilation? What is the measure of
...It's A on Ap3x......
Solve for x
x+4=−2
help please.
Answer:
x=-6
Step-by-step explanation:
The only thing to do is to transpose 4 and it will become negative,so-2-4=-6
Answer:
X = -6
Step-by-step explanation:
The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4
Work out the new equation:-
x = -2 - 4
NOTE: -2 - 4 = -6
Therefore x = -6
How many triangles can be constructed with side lengths of 4, 8, and 13?
A. 0
B. 1
C. More than 1
Answer:
yeah i dont know i want my points xd 494 4944
Step-by-step explanation:
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00
Answer:
1.39
Step-by-step explanation:
Given the quadratic equation :
2x^2+3x-8 = 0
We could apply the quadratic equation formula :
a = 2 ; b = 3, c = - 8
The formula is stated as :
-b±sqrt(b² - 4ac)/2a
To save computation tune, we could use a calculator :
The roots are : - 2.886 ; 1.386
The positive solution rounded to the nearest hundredth is : 1.39
If you can answer BOTH CORRECTLY you'll get brainliest
Answer:
Sorry the pictures re not clear. Could u zoom in? :)
I need help finding the area of a figure, it has 15ft of heigh on the left side, 20ft wide, and it's 20ft tall on the right side.
Answer: 6000ft2
Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.
A kite is flying 76 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 589. Find the length of the string. Round your answer to the
nearest tenth
Answer:
Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.
Step-by-step explanation:
What is 1% of 4,935 ?
O A. 0.04935
O B. 0.4935
O C. 4.935
D. 49.35
E. 493.5
Answer:
D. 49.35
Step-by-step explanation:
[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35
Solve: 2/3x = 18
A.) x = 12
B.) x = 27
C.) x = 16
D.) x = 3
Answer:
option b 27 is the answer
The afternoon crew at Yummy Yummy Subbys can make a submarine sandwich once every 45 seconds. The evening crew can only make a submarine sandwich once every 50 seconds. If both crews work together, how many seconds will it take them to make 38 submarine sandwiches?
Answer: 900
Step-by-step explanation:
The number of seconds it will take both the crew together to make 38 sandwiches is 900.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.
LCM of 45 and 50 is 450.
Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.
Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.
Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.
Learn more about LCM:
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Please help me! I’m giving brainliest to whoever is right first
Answer:
y = 10
x = 17
Step-by-step explanation:
4y - 3 = 37
4y = 37 + 3
4y = 40
y = 40 / 4
y = 10
3x - 9 = 42
3x = 42 + 9
3x = 51
x = 51 / 3
x = 17
Hope that helps!
Answer:
x = 17
y = 10
Step-by-step explanation:
Parallel sides are equal in length, so set them equal to each other.
3x - 9 = 42 --> Add 9 to both sides.
3x = 51 --> Divide both sides by 3.
x = 17
4y - 3 = 37 --> Add 3 to both sides.
4y = 40 --> Divide both sides by 4.
y = 10
I'm very confused on what the answer to this one is
Answer:
(-3,1.5) (0,3) (3'3)
Step-by-step explanation:
multiply all the coordinates by 1/2
Can you please help me find the volume of this shape ?
Answer:
The answer is 1710
Step-by-step explanation:
To find the volume of a shape, multiply the length by width by height.
V = LxWxH
Answer:
810in^3
Step-by-step explanation:
(6*19)/2 = 54
54*15 = 810
What do you think my favorite color is
( The closest one will get Brainieliest)
Answer:
teal?
Step-by-step explanation:
Answer:
Black , Blue or White
Step-by-step explanation:
Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Answer:
3*∑ (1/2)^n = 6
Step-by-step explanation:
We have the summation from n = 1 to n = ∞, for:
∑ 3/(2)^(n - 1)
We know that the summation between k = 0, and k = N - 1 for:
∑ r^k = (1 - r^N)/(1 - r)
if we have the summation between k = 0 and k = ∞ - 1 = ∞
(here we used that ∞ is really big, then ∞ - 1 = ∞)
In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.
Then if we assume that 0 < r < 1 we can write:
∑ r^k = 1/(1 - r)
In our case, we can rewrite our summation as:
3*∑ (1/2)^n
for n = 0 to n = ∞
You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)
Then we have r = (1/2) which is clearly smaller than 1.
then (1/2)
Then this summation is equal to:
3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6
3*∑ (1/2)^n = 6
I NEED HELP!!! ASAP!
The image of point (2,1) under a rotation -540 degrees about the origin is:
a. (-1,2)
b. (-2,-1)
c. (1,2)
d. (2,1)
e. none of the above
Find the equation of the line below.
(3,1)
Answer:
B
Step-by-step explanation:
the answer is B.the equation of the line
Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands on an even number?
Enter you answer, as a fraction in simplified form, in the box
Answer:
1/4
Step-by-step explanation:
Assuming the number cube is a six-faced die, you have
1 2 3 4 5 6
three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.
So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?
You would have a 25% chance for an even and then an even numberYou would have a 25% chance for an odd and then an odd numberYou would have a 25% chance for an even and then an odd numberYou would have a 25% chance for an odd and then an even number.25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.
Answer:
1/4
Step-by-step explanation:
One half of one one hundredth is
Answer:
1/2 of 1/100 = 1/200
Step-by-step explanation:
Monica worked 3.5 hours and is paid $10 per hour. How much did she make in 3.5 hours?
Answer:
She would make $35.
Step-by-step explanation:
If you do 10 x 3.5, you will get the answer of $35.
Answer:
$30
Step-by-step explanation:
She would be getting paid by the HOUR, and she has worked 3.5 hours. If she gets paid every HOUR, that means that she would be paid three times when working 3.5 hours. The answer would be $30.
The person who wrote the question might want $35 dollars as the answer, but logically the answer should be $30.