The solution to the equation is [tex]x = \frac{3}{4}[/tex] .
We start by rewriting the equation:
4x-7+7x=3x-1
Combine the x terms on the left side:
11x - 7 = 3x - 1
Isolate the x terms on one side of the equation. To do this, we’ll move the 3x term from the right side to the left side by subtracting 3x from both sides:
11x - 3x - 7 = -1
Simplify:
8x - 7 = -1
Add 7 to both sides to get rid of the constant term on the left side:
8x = 6
Divide both sides by 8 to find the value of x:
[tex]x = \frac{6}{8} = \frac{3}{4}[/tex]
Therefore, the solution to the equation is [tex]x = \frac{3}{4}[/tex] .
Please help thank you very much.
Then in a rectangle the ratio of the width to the length is 4:5 of the rectangle is 45 cm long what is the width
Answer: the answer would be 36:45
Step-by-step explanation: Hope this helps please bore brainlyiest est.
The price of a gallon of unleaded gas has dropped to $2.81 today. yesterday's price was $2.88 . find the percentage decrease. round your answer to the nearest tenth of a percent.
The percentage decrease is approximately -2.4%.
To find the percentage decrease in price, we can use the formula:
Percentage decrease = ((New price - Old price) / Old price) * 100
Using the given information, we substitute the values into the formula:
Percentage decrease = ((2.81 - 2.88) / 2.88) * 100
Simplifying the expression, we get:
Percentage decrease = (-0.07 / 2.88) * 100
Converting to a decimal and multiplying by 100, we find:
Percentage decrease = -0.0243 * 100 = -2.43%
Rounding to the nearest tenth of a percent, the percentage decrease is approximately -2.4%.
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which figure could be the intersection of two planes? A. ray B. line C. point D. segment
The answer to this question is (B)
Answer: The answer is B line
Step-by-step explanation:
What is the solution of 3+ (x-2)/(x-3) <=4
X<3
X<=3
X>3
X>=3
Answer:
A. X < 3.
Step-by-step explanation:
We have the equation, [tex]3 + \frac{x-2}{x-3} \leq 4[/tex]
Adding -4 on both sides, we get,
[tex]\frac{x-2}{x-3} -1 \leq 0[/tex]
i.e. [tex]\frac{x-2-x+3}{x-3} \leq 0[/tex]
i.e. [tex]\frac{1}{x-3} \leq 0[/tex]
So, we have the inequality [tex]\frac{1}{x-3} \leq 0[/tex].
Its critical points are given by x-3 = 0 which implies x = 3.
Now, we will find the region among the two [tex]( - \infty , 3 )[/tex] and [tex]( 3 , \infty )[/tex] that satisfies the inequality [tex]\frac{x-2}{x-3} -1 \leq 0[/tex]
Substitute x = 2 in the above inequality, we get -1 < 0, which is true. Again, substitute x=4 gives 1 < 0, which is false.
As x=4 lie in the region [tex]( 3 , \infty )[/tex] , it cannot be the solution of the given inequality.
So, the solution of the given inequality is the region [tex]( - \infty , 3 )[/tex] .i.e. x < 3.
Hence. option A is correct.
For the quadrilateral shown below, what is m∠a + m∠c ? A.)53 B.)137 C.)180 D.)233
The value of the given expression m∠a + m∠c is 233 degrees and this can be determined by using the given data.
Given :
Quadrilateral ABCD.Angle B is 95 degrees.Angle D is 32 degrees.The following steps can be used in order to determine the value of the given expression:
Step 1 - The sum of interior angles of the quadrilateral is 360 degrees.
Step 2 - According to the given data, angle B is 95 degrees and angle D is 32 degrees.
Step 3 - So, the value of the given expression can be calculated as:
[tex]\angle A+\angle B+\angle C+\angle D = 360[/tex]
[tex]\angle A+95+\angle C+32 = 360[/tex]
Step 4 - Simplify the above expression.
[tex]\angle A+\angle C = 360-95-32[/tex]
[tex]\angle A+\angle C = 233[/tex]
Therefore, the correct option is D).
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Please only math geniuses help, what is x+1/5y=-6 in slope intercept form?
Sam picked a card from a standard deck. what is the probability that sam picked a heart or a king? one over thirteen sixteen over fifty two
Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?
It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!
Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)
If your front lawn is 15.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1450 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.70 mg.
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it's my first college chm and I forgot how to do such word problems, would you help me please, thank you
Mrs. Pine took tennis lessons. She traveled 15 miles one way at an average cost of $0.45 per mile. Her racket cost $84, balls cost 15.50, shoes cost $47.00, her warm-up was $32, and her shorts were on sale for $22. She paid 5% sales tax on her equipment and $25.00 per lesson for 10 lessons. Including the cost of round-trip travel for all 10 lessons, what did this cost?
A. $474.03
B. $486.53
C. $595.53
D. $608.03
Answer:
$595.53
Step-by-step explanation:
o-ware
Select all of the following that are quadratic equations.
7x2 + 14x = 0
x3 - 3x2 + 1 = 0
5x - 7 = 0
x2 + 3x -5 = 0
x - 5 = 9x + 7
x2 - x = 3x + 7
A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x , where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 years?
Final answer:
To find the fox population after 28 years, we use the function y = 55 × 2^x, with x = 2 because 28 years is two 14-year periods. After calculating 2^2 and multiplying by 55, we find that there will be 220 foxes.
Explanation:
To calculate the number of foxes in a wildlife preserve after 28 years, given that the population doubles every 14 years, we start with the function y = 55 × 2^x, where x represents the number of 14-year periods.
Since 28 years is equivalent to 2 periods of 14 years, we will substitute x with 2:
Write down the equation substituting x with 2: y = 55 × 2^2.Calculate the exponent: 2^2 = 4.Multiply the base population by 4: 55 × 4 = 220.Therefore, after 28 years, there will be 220 foxes in the wildlife preserve.
What is the equation of a line that is perpendicular to the line represented by y = 3/4 x - 1/2?
A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. round to the nearest thousandth if necessary.
The probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).
According to the question, at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.
At random 11 candidates are selected from the college so, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is-
[tex](0.65)^{11}=0.00875\\(0.65)^{11}\approx0.009[/tex]
Hence, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).
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Answer for function
BRIANLIESTTTTTTTTTTTT ASAP!
On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.
Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.
A total of people visited the natural history museum Friday night.
The answer is 750 people visited the natural history musem Friday night.
The surface area of a cube is 150 cm2. what is the area of each face of the cube?
Answer:
6 25 5 these r the answers
Step-by-step explanation:
edge2021
A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.
What is the volume of the statue?
___ft³
Answer:
The volume is[tex]=59,416,863ft^3[/tex]
Step-by-step explanation:
Given A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.
Base edge=a=723 feet.
Height=h=341 feet
As, [tex]\text{Volume of square pyramid is=}(a^2)\frac{h}{3}[/tex]
Substitute the values of a and h, we get
[tex]V=(723^2)\frac{341}{3}[/tex]
[tex]=(522,729)(113.67)[/tex]
[tex]=59,416,863ft^3[/tex]
The sum of two integers is 26. The larger of the two integer is 2 more than 3 times the smaller integer
A theater has 1200 seats. each row has 20 seats. write and solve an equation to find the number xx of rows in the theater. an equation that represents this problem is =1200=1200. there are rows in the theater.
Answer:
The equation is 20x = 1200
x=1200÷20
x=60 rows
Step-by-step explanation:
help with geometry please! will mark brainliest
What is 38.224 rounded to the nearest whole number?
What is the set of all possible outcomes of a probability experiment?
The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.
Explanation:The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.
For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.
In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.
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Find the common ratio geometric sequence please
Kelly is hanging shelves in her closet. She can buy shelves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measures 24 inches. The rest of her materials cost $90. How much change will she get it she pays with $100?
What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2
Answer:
The graph is shifted left 6 units
Step-by-step explanation:
Hope this helps all in need~!! :3 Have a wonderful day, and remember- You're the best! No one does you quite like you do<3
please help :)
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