Answers
let's hmmm hmmm multiply both sides by the LCD of all denominators, that way we do away with the denominators and see what "x" is
[tex]\cfrac{x+1}{2}+\cfrac{x+2}{3}=3-\cfrac{x+3}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{x+1}{2}+\cfrac{x+2}{3} \right)=12\left( 3-\cfrac{x+3}{4} \right)} \\\\\\ (6x+6)+(4x+8)=36-(3x+9)\implies 10x+14=36-3x-9 \\\\\\ 10x+14=27-3x\implies 10x=13-3x\implies 13x=13 \\\\\\ x=\cfrac{13}{13}\implies x=1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{1-4x}{10}-\cfrac{2x+1}{2}=\cfrac{5x+1}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{1-4x}{10}-\cfrac{2x+1}{2}\right)=10\left( \cfrac{5x+1}{5} \right)} \\\\\\ (1-4x)-(10x+5)=10x+2\implies 1-4x-10x-5=10x+2 \\\\\\ -14x-4=10x+2\implies -4=24x+2\implies -6=24x \\\\\\ \cfrac{-6}{24}=x\implies -\cfrac{1}{4}=x[/tex]
Related Questions
A crew has paved 3/4 of a mile of road. If they have completed 50% of the work, how long is the road they are paving?
Answers
Answer:
1.5
Step-by-step explanation:
Let the value be x,
(3/4) = 50% * x
x = 1.5
Thenks and mark me brainliest :))
I’m not sure how to do this I’m trying to get my makeup work done! So I can start actually going to school and not be behind every week on somthing lol! Thank you so much to whoever helps!
Answers
Answer:
1)95
2)180
3)77
4)120
5)244
6)74
I think
Gregg deposits the money he makes from mowing lawns into his
savings account, adding it to the money his father gave him to
open the account.
Lawns
Mowed
Money
Saved
5
110
10
170
15
230
20
290
What is the slope and y-intercept of the table?
A.
Slope: -12, y-intercept is -50
B
Slope: 50, y-intercept is 12
C.
Slope: 12, y-intercept is 50
D.
Slope: 50, y-intercept is -12
Answers
Answer:
c
Step-by-step explanation:
c
Help plsss giving brainliest
Answers
Answer:
True
Step-by-step explanation:
m+m+y+(5a+3m)=5a+5m+y (combine like terms, we do 3+1+1=5 for the coefficent of m
~cloud
Anna is buying tickets for a movie.
Each adult ticket costs $9.
Each child ticket costs $5.
Anna spends $110 on tickets.
Anna buys 14 total tickets.
How many adult tickets did she buy?
Answers
Answer:
4 child 10 adults
Step-by-step explanation:
stay safe bro
solve (2+2)+(4+4). help please otherwise I will fail in my test
Answers
2+2=4
4+4=8
4+8=12
I really need help on this question
Answers
Step-by-step explanation:
2×4=8
8×2/3
8×2=16
16×3=48
ans = 48
somone please help me with this im begging you
Answers
Answer:
For Q.1, the answer is 9
Step-by-step explanation:
The volume formula for a cylinder is V=πhr^2. The volume formula for a cone is V=(πhr^2)/3. You might notice that the formulas are very similar; the only difference is the divided by three at the end. Because we are going from cylinder to cone, we have to multiply by three instead of dividing. Doing this, we get 3*3=9.
Try solving the rest of the problems using these two formulas by yourself. :)
find the product. write your answer is standard form. no links please.click the picture to see it better
Answers
Which variation is represented by this situation:
A building that is 6 stories tall has a shadow that is 22 meters long.
How many stories tall is a building with a shadow that is 40 meters
long? Is it inverse variation or direct variation?
Answers
When a building is 40 meters long in shadow cast by another building of the same height, there are 10 levels there.
what is direct variation ?equation that can be used to explain the mathematical relationship between two variables, where one variable is equal to a constant multiplied by the other. A direct variation's (proportional relationship's) graph is a straight line that pierces the origin. On a graph of direct variation, the graph will always pass through (1, k), where k is the proportionality constant. Direct variation refers to a change in one quantity that directly affects the other. The complete opposite of this is inverse variation.
The equation that describes this variation is:
h =kx
1st Data 2nd Data
s=22 m s = 40 m
h=6 stories h = find 2nd
k=find 1st k = 0.27 story/m
Find k: Find h :
h=kx h = kx
6 stories=k(22 m) h = ( 0.27 story/m ) ( 40 m)
k=6 stories/22 m h = 10 stories
k=0.27 story/m
so its direct variation .
When a building is 40 meters long in shadow cast by another building of the same height, there are 10 levels there.
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Sarah has 600 quarters and dimes in her piggy bank which totals $123. 75 how many quarters does she have? (Hit: use cent values for each coin- quarters are 25 cents, 0. 25)
Answers
The answer of Coin word problem is Sarah has 425 quarters.
What is a Coin word problem?There are often two different equation types in coin word problems. The total number of coins is described by one equation, while the total amount of money is described by the other equation. However, let's choose some variables that will represent the problem's unknown values before we begin creating our equations.
Word Problems, also known as story problems, can be found in both daily life and the Common Core State Standards for every school level,
Let q be the number of quarters and d be the number of dimes
Then we are doing as :
q + d = 600 → d = 600 - q (1)
0.25q + 0.10d = 123.75 (2)
Sub (1) into (2) for d
0.25q + 0.10 ( 600 - q) = 123.75
simplify,
0.25q + 60 -0.10q = 123.75
0.15q + 60 = 123.75 (subtract 60 from both sides)
0.15q = 63.75 ( divide both sides by 0.15)
q = 425
Therefore, she has 425 quarters
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Please help I will give 15 points
Answers
Answer:
45 units
Step-by-step explanation:
You have $15 in savings. Your friend has $25 in savings. You both start saving $5 per week. Write a system of linear equations that represents this situation. Will you ever have the same amount of savings as your friend? Explain.
Answers
Step-by-step explanation:
1. Set up two equations equal to one another like 15 + 5x = 25 + 5x to find out if you'll have the same savings as your friend.
2. Subtract 15 on both sides to get 5x by itself. This should leave you with 5x = 10 + 5x.
3. Subtract 5x on both sides to get 10 by itself. This should leave you with 0x = 10. This means that you'll never have the same amount of money because the x's cancel each other out.
Sandy ate 1/6 of the candy bar John ate 3/4 of it how much more of the candy bar did John eat then Sandy
Answers
Answer: 7/12
Step-by-step explanation:
Based on the given conditions, formulate: 3/4 - 1/4
Find the common denominator and write the numerators above the common denominator: 9/12 - 2/12
Calculate the product or quotient:
Write the numerators over the common denominator: 9-2
12
Calculate the sum or difference: 7/12
Answer: 7/12
A recipe calls for 2 2/3 cups of flour to make two regular batches of cookies. Shiloh needs to make multiple batches of cookies. Represent this situation with an equation. What is the constant of proportionality? How can you identify it in an equation? How can you use an equation to determine if a relationship is proportional?
Answers
This situation can be represented with an equation as y = mx + b. The constant of proportionality (m) is a number that represents how much flour is needed for each additional batch of cookies. If the equation is in the form y = mx + b, then the relationship is proportional.
Shiloh needs to make multiple batches of cookies from a recipe that calls for 2 2/3 cups of flour to make two regular batches. To represent this situation in an equation, the equation is y = mx + b, where y is the amount of flour needed for the number of batches (x) Shiloh is making, m is the constant of proportionality, and b is the initial amount of flour needed (2 2/3 cups).
The constant of proportionality (m) in the situation above is the measure of how much flour is needed for each additional batch of cookies. For example, if the constant of proportionality is 0.75, that means Shiloh would need to add 0.75 cups of flour for each additional batch of cookies.
Therefore, if Shiloh is making three batches of cookies, the equation would be y = 0.75x + 2 2/3, and the total amount of flour needed would be 4 1/8 cups (2 2/3 + 0.75 + 0.75).
By using an equation to represent this situation, it is easy to determine if a relationship is proportional.
If the equation is in the form y = mx + b, then the relationship is proportional.
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an airplane is flying from new york city to los Angeles the distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15t how long will it take to go 12.75 milles
Answers
Answer: 85 seconds
Step-by-step explanation: 12.75/0.15=85
A fence around a square garden has a perimeter of 48 feet. What is the exact
length of the diagonal of this square garden?
Answers
Answer:
12
Step-by-step explanation:
Marys doll house has a door that is 60 inches high by 30 inches wide. Mary has a dog bed that is 65 inches on each side. a. Will the doll bed go through the front door of the house? Explain. b. What is the largest bed (to the nearest inch) that will fit through the doll house door?
Answers
Solve this problem
Step by step
Answers
Answer:
√259 or 16.09
Step-by-step explanation:
Hello!
I'll be labeling the vertices so that it is easier to understand the sides.
These are both right triangles, and we can find the measures of right triangles (given two other sides) by using the Pythagorean theorem:
[tex]a^2 + b^2 = c^2[/tex]
a = legb = legc = hypotenuse (leg opposite to 90°)In Triangle BCD, we have the measures of the hypotenuse and a leg. We can use that to find the missing side: CB
Since DB is the hypotenuse, it would be side c, and we can say that CD can be side a.
Solve for CB:[tex]a^2 + b^2 = c^2[/tex][tex]10^2 + b^2 = 25^2[/tex][tex]100 + b^2 = 625[/tex][tex]b^2 = 525[/tex][tex]b = 5\sqrt21[/tex]CB in simplest radical form is 5√21.
We can now solve for x, because now in triangle ABC, we have the measures of two sides: hypotenuse AC and leg CB.
Solve for AB:[tex]a^2 + b^2 = c^2[/tex][tex](5\sqrt{21})^2 + b^2 = 28^2[/tex][tex]525 + b^2 = 784[/tex][tex]b^2 = 259[/tex][tex]b = \sqrt{259}[/tex]AB in simplest radical form is √259, which is approximately 16.09.
The solution for x is √259 or 16.09.
Determine the Domain and Range of each graph, then decide if the graph is exponential growth or decay.
Answers
The required,
1. figure 1, domain and range are (0, ∞) and {25000, 0}, the graph shows the exponential decay.
2. figure 2, domain and range are (-∞, ∞) and {0, ∞}, the graph shows the exponential growth.
The function which is in format f(x) =aˣ where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
As mentioned in the question, the graph of two exponential functions are given, we have to determine the domain and range of both function and justify which graph shows the exponential growth and decay.
1.
A general exponential equation is given as,
y = aˣ
Graph 1, the graph shows the exponential decay because the value of the function is getting decreasing for the domain 0 to ∞. For this domain, the value of the function starts from point A which is at 25000 and ends at point B where y = 0, so the range is {25000, 0}.
Similarly,
Graph 2 shows exponential growth,
Domain and range are (-∞, ∞) and (0, ∞).
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Help and explain, my teacher did not
Answers
Answer: x=136 degrees
Step-by-step explanation: All 3 angles inside a triangle added together will get you 180 degrees. 46+90 degrees is 136. 180-136=44 degrees. Now a line is 180 degrees too. 180-44=136 degrees for x.
The diameter of a circle is 4 kilometers. What is the circle's circumference?
Answers
Answer:
12.57 km
Step-by-step explanation:
Radius = 4 / 2 = 2 km
Circumference = 2πr = 2π(2) = 4π = 12.57 km
Answer:
12.56km
Step-by-step explanation:
C=2pi r
2r=d
C=pi d=4pi=4x3.14=12.56km
Find the value of 'x', round to 4 decimal places.
Answers
The value of x is 14.7224.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Sin 60° = x/17 ____(1)
Sin 60° = √3/2 _____(2)
From (1) and (2) we get,
√3/2 = x/17
x = 17√3/2
x = 17 x 1.73205 / 2
x = 14.7224
Thus,
The value of x is 14.7224.
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There are 60 students and 13 teachers on a bus. What is the ratio of students to teachers?
Answers
Answer:
60:13
60 students to 13 teachers
Help please and both questions
Answers
Answer:
the first one is x=7 and the second one is x=6
A gardener has 400 feet of fencing t0 fence in a bordered rectangular garden: One side of the garden Is river and so it does not need any fencing: river garden What dimensions would guarantee that the garden has the greatest possible area? shorter side: ft (feet) longer side: (feet) greatest possible area: (square-feet) Submit Question
Answers
The shorter side should be 200 ft and the longer side should be 200 ft. This would give the garden the greatest possible area of 40,000 square-feet.
1. The area of a rectangle can be calculated by multiplying the length and width together.
A = L * W
2. We know that the total amount of fencing is 400 ft.
3. We also know that one side of the garden is a river and so it doesn't require fencing.
4. Therefore, the remaining fencing must be divided equally between the two other sides of the garden (200 ft per side).
5. We now know that the length and width of the garden are both 200 ft.
6. Plugging these values into the area equation, we get:
A = 200 ft * 200 ft = 40,000 sqft
7. Therefore, the greatest possible area of the garden is 40,000 square-feet..
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What is the length of ab
Answers
A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the connection of the three sides end to end at a single point. The correct answer Is option c) 6.
What is triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
The diagram shows us a triangle [tex]$\mathrm{ABC}$[/tex], which
[tex]$$m \angle A=m \angle C=63^{\circ}, \quad A B=3 x$$[/tex]
units and [tex]$B C=(4 x-2)$[/tex] units.
The task Is to determine the length of the slde [tex]$\mathrm{AB}$[/tex].
[tex]$\mathrm{ABC}$[/tex] has the following
[tex]$$m \angle A=m \angle C$$[/tex]
In a triangle, we understand that
If the measurements of two angles are equal, then the lengths of the sides or each side are also equal.
so we must have
[tex]B C=A B \\\Rightarrow 4 x-2=3 x \Rightarrow 4 x-3 x=2 \Rightarrow x=2 .\end{aligned}$$[/tex]
As a result, [tex]$\mathrm{AB}$[/tex] will be of length
[tex]$$A B=3 x=3 \times 2=6$$[/tex]
As a result, the side [tex]$A B$[/tex] is 6 units long.
Therefore, the correct answer Is option c) 6.
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Solution of alcohol and water is 80% alcohol. Solution is found to contain 32 milliliters of alcohol. How many milliliters total both alcohol and water are in the solution
Answers
Trapezoid QRST is dilated by a scale factor of 3.4 to create trapezoid Q'R'S'T'. The perimeter of trapezoid QRST is y units. What is the perimeter in units of trapezoid Q'R'S'T'?
Answers
Not mistakenly
What is log and example?
Answers
Logs are a type of mathematical operation used to solve exponential equations.
Logs are written as log boxes, where b is the base. The base is the number that the logarithm is being calculated concerning. The x is the number that the logarithm is calculated. Logarithms allow us to convert multiplication and division problems into addition and subtraction.
For example, log2 (8) can be calculated by taking the logarithm of 2, which is 0.301029996, and then multiplying it by 8, which is 2.408239965. This means that log2 (8) is equal to 2.408239965.
Another example is log10 (100). This can be calculated by taking the logarithm of 10, which is 1 and then multiplying it by 100, which is 100.
This means that log10 (100) is equal to 100. Logs are an important tool in mathematics and are used in a variety of fields, such as chemistry, engineering, and economics.
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