Solve 3/4 x + 3 1/2=4/5x
Pls help me with 1 and 2 plzzzz
Answer:
1. First choice, 1/2
2. First choice, 1/2
Step-by-step explanation:
3 odd numbers on a dice, so 3/6 = 1/2
12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2
[tex]{x}^{18}={y}^{21}={z}^{28}[/tex]
3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are in?
[tex]{x}^{18}={y}^{21}={z}^{28}[/tex]
3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are in??
[tex]\large\bold{\underline{\underline{Answer:-}}}[/tex]The Series in AP.[tex]\large\bold{\underline{\underline{Explanation:-}}}[/tex][tex]{x}^{18}={y}^{21}={z}^{28} [/tex]
[tex]{x}^{18}={y}^{21}[/tex]
By taking LOG on both sides
[tex]log {x}^{18}=log {y}^{21} [/tex]
[tex]18 log x= 21 log y[/tex]
[tex]2 \ times 3 log x= 7 log y[/tex]
[tex] 3 \dfrac{log x}{log y} =\dfrac{7}{2}[/tex]
[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]
Now,[tex]{x}^{18}={z}^{28} [/tex]
By taking LOG on both sides
[tex]log {x}^{18}=log {z}^{28} [/tex]
[tex]18 log x =28 log z [/tex]
[tex] 9 log x =7 \times 2 log z [/tex]
[tex] 7\dfrac{log z}{log x} = \dfrac{9}{2}[/tex]
[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]
Now,[tex]{y}^{21}={z}^{28} [/tex]
By taking LOG on both sides
[tex]log {y}^{21}=log {z}^{28} [/tex]
[tex]21 log y=28 log z [/tex]
[tex] 3 log y = 4 log z [/tex]
[tex]3 \dfrac{ log y}{logz }= 4 [/tex]
[tex]\bold{ 3 log_z y = 4 }[/tex]
According to the question:-3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are ...in??
we have,[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]
[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]
[tex]\bold{ 3 log_z y = 4 }[/tex]
The series is,[tex]3 , \: \dfrac{7}{2 } , \: 4 , \: \dfrac{9}{2}[/tex]
Here,[tex]a_1 = 3 [/tex]
[tex]a_2 = \dfrac{7}{2 } [/tex]
[tex]a_3 = 4 [/tex]
[tex]a_2 = \dfrac{7}{2 } [/tex]
Let, us find common difference[tex]d \implies a_2 - a_1 = = a_3-a_2 [/tex]
[tex]d \implies 2 a_2 = a_3+a_1 [/tex]
[tex]d \implies 2 \times \dfrac{7}{2}= 7 [/tex]
[tex]d \implies 7 = 7 [/tex]
Since, common difference is equal!The series is in AP.Solve the following system using substitution
x − 5 y = 32
2 x − 9 y = 57
Answer:
x= - 3 and y= - 7
Step-by-step explanation:
Answer:
X = -3
Y = -7
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Find the maximum walking speed of giraffe with leges 6.03 feet long
Answer:
13.89 ft/s
Step-by-step explanation:
We know that the cheetah is the fastest land animal on Earth, but what if it were not allowed to run? Biologists model maximum walking speed by the equation = √, where g is the acceleration due to gravity (9.8 m/s2 or 32 ft/s2) and L is the length of the leg (in metric or standard units). In the situations below, use this information to answer the questions.
(Hint: It will be useful to know 1 m = 3.23 ft for conversions)
1. Find the maximum walking speed of a giraffe with legs 6.03 feet long.
Solution:
Speed is the ratio of the total distance travelled to the time taken to reach this distance. Speed is given by the formula:
Speed = distance / time
Given that the maximum walking speed (s) is given by the equation:
= √, where g is the acceleration due to gravity (9.8 m/s² or 32 ft/s²) and L is the length of the leg (in metric or standard units).
The giraffe has a length of leg (L) of 6.03 feet, hence:
s = √(32 ft/s² * 6.03 ft)
s = √192.96
s = 13.89 ft/s
Which of the following equations is equivalent to 2 + x + 2x = 14? A 4X E 14 B 3x = 12 C 3x = 16 D 1x = 12
Step-by-step explanation:
2 + x + 2x = 14
3x + 2 = 14 (combine like terms)
3x = 12 (subtract 2 from both sides)
Hence the answer is 3x = 12. (B)
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4
Use the graph that shows the solution to f(x) = g(x).
f(x) = - *x² + 3x + 1
g(x) = x - 1
f(x)
ox)
What is the solution to f (x) = g(x)?
4
-3-2
x = 0
x = 2
f(x)
3
2
g(x)
2
Answer:
x = 4
Step-by-step explanation:
Both A and B are similar
We have no problems with f(x) as it is similar on both plots
A graph of g(x) however shows that it is the second plot that is correct
Thus,
To get the solution , we need the point at which both graphs crosses each other
we can see this at the point x = 4 and thus that is our solution
12. Your family attends a comic convention. Each autograph costs
$20 and each photograph costs $50. Your family buys a total of
5 autographs and photographs for $160. How many photographs
does your family buy?
Answer:
2 photographs
Step-by-step explanation:
Mark as Brainliest.
Because I am Indian and solving your question from India.
Your family buys two photographs at a comic convention.
What is the equation?The equations are defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let x be the number of autographs and y be the number of photographs. We know that:
x + y = 5 (the total number of autographs and photographs)
20x + 50y = 160 (the total cost of the autographs and photographs)
We are looking for the number of photographs (y) that your family buys.
We can use the first equation to solve for x in terms of y:
x = 5 - y
Then we can substitute this expression for x into the second equation:
20(5 - y) + 50y = 160
100 - 20y + 50y = 160
50y = 60
y = 12/5
y = 2.4
Since the number of photographs has to be a whole number, we can see that your family buys 2 photographs.
Learn more about the equations here:
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Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How much would Evan need to invest, to the nearest dollar, for the value of the account to reach $1,360 in 12 years?
answer: 711
711.403641819=P
On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.
What is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. The interest rate on the loan is known as this percentage.
here,
we have
P = 1360;
R = 5.4 ;
T = 12
so, we get,
SI = 1360 X 5.4 X 12 /100
SI =88128/100
= 881.28
Hence, On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.
To know more about interest visit:
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A third grade teacher has 20 students in her class. Fifteen of the students are girls and five are boys. What is the ratio of girls to boys in the third grade class?
Answer:
15 : 5 = 3 : 1
Step-by-step explanation:
A grain silo is in the shape of a cylinder with a hemisphere top. They cylinder is 20 feet tall. The volume of the silo is 2106 cubic feet. Find the radius of the silo.
Answer:
The radius of the silo is 5.788 feet.
Step-by-step explanation:
Since the silo has the shape of a cylinder, then;
Volume of the silo = Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
Where: r is the radius of the silo, and h is the height.
Given that: volume = 2106 cubic feet, and height = 20 feet.
Then,
2106 = [tex]\frac{22}{7}[/tex] x [tex]r^{2}[/tex] x 20
2106 = [tex]\frac{440}{7}[/tex][tex]r^{2}[/tex]
2106 x 7 = 440[tex]r^{2}[/tex]
14742 = 440[tex]r^{2}[/tex]
[tex]r^{2}[/tex] = [tex]\frac{14742}{440}[/tex]
[tex]r^{2}[/tex] = 33.5045
⇒ r = [tex]\sqrt{33.5045}[/tex]
= 5.78831
r = 5.788 feet
The radius of the silo is 5.788 feet.
Ten percent of 640 is what number?
64
128
160
320
Answer: 64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
Ten percent of 64 is the same as;
0.1 * 640
= 64
PLEASE HELP!!iILL GIVE U 20 POINTS what is -4x+2(3x-6)
Answer:
2x +12
Step-by-step explanation:
-4x + 6x -12
I need help with math
Step-by-step explanation:
Q1
A. x must be 0
B. x can be any number. it because every number times by 0 will be 0
Q2
(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =
2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =
2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =
2⁰ + 5² = 25
Q3
4.55 x 10¹³ - 1.78 x 10¹² =
45.5 x 10¹² - 1.78 x 10¹² =
43.72 x 10¹²
4,37 x 10¹³ kg
Q4
A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸
or in scientific we can write 9.56 x 10³⁸ ergs
B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter
dhsshdhjdjdjdjdndjcixhxbxnxxxi
Answer:
(3x + 4)²Step-by-step explanation:
1) Your number = x
2) Multiply it by 3 = 3x
3) Add 4 = 3x + 4
4) Square the result (quantity square) = (3x + 4)²
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
PLEASE OF YOU CAN SHOW THE WORK:
The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s, are attached to a pole at a point 20 feet above the ground. The combine length of the two cables is 70 feet. If cable r is attached to the ground 8 feet from the base of the pole, what is the measure of the angle, x, to the nearest degree, that cable s makes with the ground? N = 20 ft S 8 t
Answer:
[tex]x\approx24^\circ[/tex]
Step-by-step explanation:
We know that r and s have a combined length of 70. Therefore:
[tex]r+s=70[/tex]
Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:
[tex]a^2+b^2=c^2[/tex]
Substituting 20 and 8 for a and b and r for c yields:
[tex]20^2+8^2=r^2[/tex]
Compute:
[tex]464=r^2[/tex]
Therefore:
[tex]r=\sqrt{464}=\sqrt{16\cdot 29}=4\sqrt{29}[/tex]
Now, we can determine s. We know that:
[tex]s+r=70[/tex]
So, by substitution:
[tex]s+4\sqrt{29}=70[/tex]
Therefore:
[tex]s=70-4\sqrt{29}[/tex]
Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.
Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.
In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:
[tex]\displaystyle \sin(x^\circ)=\frac{20}{s}[/tex]
By substitution:
[tex]\displaystyle \sin(x^\circ)=\frac{20}{70-4\sqrt{29}}[/tex]
Take the inverse sine of both sides:
[tex]\displaystyle x^\circ=\sin^{-1}\Big(\frac{20}{70-4 \sqrt{29}} \Big)[/tex]
Use a calculator. Therefore:
[tex]x\approx24.37^\circ\approx24^\circ[/tex]
Factor the expression using the GCF.
7+14 =
Answer:
Step-by-step explanation:
So it’s 201
4a⁴b(2b³)‐²
------------------
6a³
Answer:
A
Step-by-step explanation:
Bag A has 20% more red balls than bag
B. If 5 red balls were transferred from
bag A to bag B, there will be the same
number of red balls in the two bags. How
many red balls were initially in the bag
B?
Answer:
50
Step-by-step explanation:
Let a = number of balls in bag A.
Let b = number of balls in bag B.
a = 1.2b
a - 5 = b + 5
1.2b - 5 = b + 5
0.2b = 10
b = 50
Answer: 50
Answer: the answer is 50
Step-by-step explanation:
A farmer plants a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the
crop. He decides to take a simple random sample of the crop. He numbers each plant 1-100 and randomly picks 10
unique numbers. He then counts the number of ears of corn on these 10 plants and multiplies by 100. Which of the
following statements is not true about the sample?
Each plant had an equal chance of being selected.
O The sample of 10 plants was a simple random sample.
O The sample of 10 plants was a census of the corn plants.
O Each sample of 10 had an equal chance of being selected.
Answer:
The statement which is not true about the sample is;
The sample of 10 plants was a census of the corn plants
Step-by-step explanation:
The statement out of the given statements which is not true about the sample is "The sample of 10 plants was a census of the corn plants"
The 10 unique number corn which the farmer randomly selects of which he then count the number of ears in the corn and multiply by 100 so as to quickly arrive at an estimate of the total number of ears of corn for the crop, without individually counting the ears on each plant from the 100 plants
A census is a counting and individual enumeration procedure to collect and record characteristic information and details of the all the members that make up a given population
Therefore, the farmer is finding an estimate of the number of ears of in the plants rather than taking a census of the ears of corn on each plants in the population of 100 plants
Answer:
The sample of 10 plants was a census of the corn plants.
Step-by-step explanation:
The person above me is correct. I am taking the test review.
Simplify the expression (22+19b) +7
Answer:
there is no multiplication, so just 29+ 19b
Answer: i solved it for you, but all you have to do is add this 19b + 29
Step-by-step explanation:
I really hope this helps!! Have an amazing day!! :)
sec^4A+ tan^4A = 1 + 2tan^2A sec^2A
please help me solving it
Answer:
true
Step-by-step explanation:
sec^4A-2tan^2Asec^2A+tan^4A=1
(sec^2A-tan^2A)^2=1
1^2=1
which is true
There are 7 crawfish in Gumbo's family. They want to ride the Ferris wheel at the fair. Only 2 crawfish will be able to sit in each seat on the Ferris wheel. How many seats
will it take for Gumbo's family to ride the Ferris wheel? (One will ride alone.)
5
4
2
3
Step-by-step explanation:
first you go by counting by 2s and when your done it says one will ride alone so minus 1 that is 5 so the answer will be 5
IXL -8th grade math W.14
Larry had already read 11 books this year before joining a book club, and he plans to read 1 book every month now that he has joined. If Larry has read 28 books so far, how many months has he been with his book club?
Answer with the number of months he has been in the book club.
Answer:
I think seventeen months
-5x + (-2) = -2x + 4
Answer:
x = -2
Step-by-step explanation:
You want to add 2x on both sides to get to this equation -3x - 2 = 4 with the -2 being negative due to having a positive and a negative sign turning into a negative number. Add 2 on both sides to get -3x = 6. Divide -3 on both sides to get your final answer or as your x value which is -2.
Answer:
Step-by-step explanation:
-5x - 2 = -2x + 4
-3x - 2 = 4
-3x = 6
x = -2
Tom paid $2.50 for two pounds of boiled peanuts. Rose paid $9.50 for 8 pounds of boiled peanuts. Is the relationship between these two purchases proportional?
i need help with questions 9
Answer:
2
Step-by-step explanation:
Estimate a 15% tip for each bill shown.
a. $57.80
_______
b. $122.46
_______
Answer:
a. $57.80
$66.47
b. $122.46
$140.829
Step-by-step explanation:
Can you help me out with both of these pls
Help, please!!
David bought 3.5 pounds of potatoes for $0.82 per pound. How much did David spend on potatoes?
Answer:
He spend $4.27 i guess
Step-by-step explanation:
prove me wrong