Only option 'a' is true
What is equation?Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some components of an equation. The "=" sign and terms on both sides must always be present when writing an equation. Equal treatment should be given to each party. Multiple terms, operators, and variables are not required on each side of an equation. Without these, one can still form an equation, such as 5 + 10 = 15. There are no variables in the equation below. An equation with variables, on the other hand, is an algebraic equation.Calculation
Given, x + 5.5 = 0
x = -5.5
a. 2(x+3) ≤ -5
2(-5.5+3) ≤ -5
2*(-2.5) ≤ -5
-5 ≤ -5
Hence, it is true
b. 3 – 2x > 12
3 – 2(-5.5) > 12
3 – 11 > 12
-8 > 12
Hence, it is false
c.[tex]x^{2}[/tex] +(-5.5) < 24.75
[tex]-5.5^{2}[/tex] + (-5.5) < 24.75
30.25 <24.75
Hence, it is false
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Gail made 7/8 quart of lemonade. Her sister drank 1/4 quart of the lemonade. How much lemonade is left?
Group of answer choices
2/8 quart
3/8 quart
4/8 quart
5/8 quart
Answer:
5/8 quarts
Step-by-step explanation:
EXTRA POINTS PLEASE HELP ASAP!!! Will give Brainliest if correct
The local botanical garden is setting up for a special event called "Music Mondays." They expect to have 100 people show up to the event and want to make sure that they have enough room for that many chairs. The first row has 8 chairs in it and each new row adds four chairs. How many chairs would be on the 5th row? Would 5 rows be enough to accommodate the 100 people?
Answer:
The 5th row has 24 chairs, and therefore not enough chairs for 100 people.
Step-by-step explanation:
The equation for this situation is , f(x) = 4x+4 The reason for this is, there is 4 chairs added to every row, so in order to make row number one make sense, you must subtract 4 to find the y-intercept which is also 4.
To find if the 5th row has enough for 100 people, you must plug 5 in for x
The 5th row has 24 chairs, and therefore not enough chairs for 100 people.
The required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values are common.
Here,
A given scenario is of arithmetic progression,
Let the first term be a = 8,
and the common difference between chairs is d = 4,
Now,
Let the number of rows be n,
Now,
The explicit arithmetic formula is given as,
Number of chairs = 8 + (n - 1)4
Now put n = 5
Number of chairs = 8 + (5 - 1) 4
= 8 + 16
= 24
So, in the 5th row, there will be 24 chairs.
Now,
For 100 people number of chairs would be 100
Apply the sum formula of arithmetic progression,
Where sum gives the total number of chairs for n rows,
Sum = n / 2 (a + l)
Sum = 5 / 2(8 + 24)
= 5 / 2 (32)
= 5 × 16
= 80 chairs
Thus, the required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.
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is it possible to choose (2n 1)^2 points in the disc of radius n such that the distance between any two of them is greater than 1?
Answer: its (4f 5) ^3
Step-by-step explanation:
If three times the sum of two number is 42 abd five times their difference is 20 find the numbers.
Chapter Equations Grade 10
Answer:
5 and 9
Step-by-step explanation:
3(x+y) = 42
5(x-y) = 20
3/3 (x+y) = 42/3
5/5 (x-y) = 20/5
x+y = 14
x-y = 4
x-x = 0
y-(-y) = y+y = 2y
14-4 = 10
2y = 10
2/2 y = 10/2
y = 5
x-5 = 4
x = 4 + 5
x = 9
Answer:
One number is 5 and the other number is 9
Step-by-step explanation:
Three polygons meet at point A. How many sides must the largest polygon have?
The largest polygon must have
Blank 1:
sides?
Answer:
It should be 80.
If triangle FGH is similar to triangle KJH, solve for x. show work please
Answer:
None of these
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so:
[tex]\frac{GH}{JH}=\frac{FH}{KH} \\ \\ \frac{x+8}{52}=\frac{4x-25}{32} \\ \\ 32(x+8)=52(4x-25) \\ \\ 32x+256=208x-1300 \\ \\ 256=176x-1300 \\ \\ 176x=1556 \\ \\ x=389/44[/tex]
24. walking down jane street, ralph passed four houses in a row, each painted a different color. he passed the orange house before the red house, and he passed the blue house before the yellow house. the blue house was not next to the yellow house. how many orderings of the colored houses are possible?
The number of orderings of the colored houses is possible in 3 ways
There are 24 possible arrangements for the houses. The number of ways with the blue house next to the yellow house is [tex]$3! \cdot 2!=12$[/tex],
as we can consider the arrangements of B,Y, O, and R.
Thus there are [tex]$24-12$[/tex] arrangements with the blue and yellow houses non-adjacent.
Exactly half of these have the blue house before the yellow house by symmetry, and exactly half of those 6 arrangements have the orange house before the red house (also by symmetry), so our answer is
[tex]=$12 \cdot \frac{1}{2} \cdot \frac{1}{2}[/tex]
=3
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what is the value of 2/10 divided by 5/4
263 second grader and 198 third graders choose hot dogs to eat. How many hot dogs do the students eat choose to eat ?
Answer:
461 Hot Dogs.
Step-by-step explanation:
263+198=461 Hot dogs.
For the line maybe you can start at 0 then jump 200 then 60 then 3 then jump another 100 then 90 then 8 to get 461 Hot Dogs.
I hope this helps!
Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? identify the system of equations that models the given scenario. t u = 9 10t u = 10u t â€"" 9 t u = 9 10t u = 10u t t u = 9 tu = ut 9
The system of equations that models the given scenario is t + u = 9 and 10t + u = 10u + t - 9.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
The answer would be "t + u = 9 and 10t + u = 10u + t - 9".
This can be found if you replaced t with 4 and u with 5.
Adding the 2 digits would give you 9.
Use the formula "10t + u = 10u + t - 9".
Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which makes the statement true.
Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.
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An ice cream shop had 316 customers the first weekend it had 468.What is the percent of increase in the number of customers? Round the nearest percent
The percent increase in the number of customers is 48% .
In the question ,
it is given that
number of customers came ice cream shop in first weekend = 316 customers
number of customers that came in second weekend = 468 customers .
increase in number of customers = 468 - 316 = 152
So , the percent increase in number of customers can be calculated using the formula ,
percent increase = (increase in customer)/(number of customers in first weekend) × 100
Substituting the values , in the percent increase formula , we get
percent increase = 152/316 × 100
= 0.4810 × 100
= 48.10
≈ 48%
Therefore , The percent increase in the number of customers is 48% .
The given question is incomplete ,the complete question is
An ice cream shop had 316 customers the first weekend it opened. The second weekend it had 468. What is the percent of increase in the number of customers? Round to the nearest percent.
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Divide. Round to the nearest tenth.
3.5÷2.29
Answer:
1.5
Step-by-step explanation:
look at the number after the 5 If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth's place
Solve for X, try to make your answer a whole number if possible.
11 + 5x/2 = 26
Answer:
x=6
Step-by-step explanation:
11+5x/2=26
-11. -11
5x/2=15
x2. X2
5x=30
/5. /5
x=6
Hopes this helps,please mark brainliest
In ΔUVW, VW = 14, WU = 2, and UV = 15. Which tatement about the angle of ΔUVW mut be true?
The statement about the angle of ΔUVW must be true is m∠W>m∠U>m∠V. The correct option is F.
Given that in ΔUVW, VW = 14, WU = 2, and UV = 15.
We want to find the statement about the angle ΔUVW must be true from the attached image.
As we know the theorem that, If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
Then according to the above theorem that the long side of the triangle corresponds to the big angle theorem.
So, we get that m∠W>m∠U>m∠V
Hence, the statement which is true about the ΔUVW is m∠W>m∠U>m∠V.
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What is the midline equation of the function h(x)=-4\sin\left(x-\dfrac{\pi}{4}\right)h(x)=−4sin(x−
4
π
)h, left parenthesis, x, right parenthesis, equals, minus, 4, sine, left parenthesis, x, minus, start fraction, pi, divided by, 4, end fraction, right parenthesis?
x-axis or y = 0 is the midline equation of the function
h(x) = -4sin(x - π/4).
Given, a trigonometric function
h(x) = -4sin(x - π/4)
Now, we are asked the midline equation of the given function,
midline equation is the equation of a line that divides the given function into exactly two halves.
As, we have
h(x) = -4sin(x - π/4)
h(x) is obtained by transforming the function sinx.
Now, the midline equation of the function h(x) is,
y = 0 i.e. the x-axis.
Hence, x-axis or y = 0 is the midline equation of the function
h(x) = -4sin(x - π/4).
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Caitlin had $385 in her bank account. She withdrew $14 each week to pay for a swimming lesson. She now has $245. How many swimming lessons did she pay for
The answer is 10 weeks of lessons she paid for using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Caitlin had $385 in her bank account. She withdrew $14 each week to pay for a swimming lesson.
She now has $245.
Total money spent 385-245 = 140
For 140 will pay 140/14 = 10 weeks
Hence total 10 weeks lessons she paid for.
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the mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. the standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately normally distributed. 4% of the time, the bolt is inserted in less than which time value? round to the nearest whole number.
4% of the time, the bolt is inserted in time less than 8 minutes.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
If the probability is 4%, then, using the z-table, the z-score would be -1.75287.
at p = 0.04 z = -1.75287
Using the formula for finding the z-score, solve for the data value, x.
z-score = (x – μ) / σ
where x = individual data value
μ = mean = 15
σ = standard deviation = 4.0
-1.75287 = (x - 15) / 4.0
x - 15 = -7.01148
x = 7.98852
Round off to the nearest whole number.
x = 8
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If cos x = 2/5 then what is the positive value of sin 1/2x in simplest radical form with
a rational denominator?
The positive value of sin x/2 is [tex]\frac{\sqrt{30} }{10}[/tex]
What are trigonometric ratios?Trigonometric ratios are the ratios of sides of a right-angle triangle. The most common trigonometric ratios are sine, cosine, and tangent.
The relationship between cos x and sin x/2 is
sin x/2 = [tex]\sqrt{\frac{1 - cosx}{2} }[/tex]
cos x = 2/5
sin x/2 = [tex]\sqrt{\frac{1-\frac{2}{5} }{2} }[/tex]
1 - 2/5 = 3/5
simplifying 3/5 ÷ 2
removing division sign and taking the reciprocal of 2, we have
3/5 x 1/2 = 3/10
so that
sin x/2 = [tex]\sqrt{\frac{3}{10} }[/tex]
which can be written as
sin x/2 = [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex]
By rationalizing [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex] we multiply it with [tex]\frac{\sqrt{10} }{\sqrt{10} }[/tex]
so that we have [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex] x [tex]\frac{\sqrt{10} }{\sqrt{10} }[/tex] = [tex]\frac{\sqrt{30} }{10}[/tex]
In conclusion, the radical form of sin x/2 is [tex]\frac{\sqrt{30} }{10}[/tex]
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Mr. Thompon i buying 1 and 3/4 pound of turkey and 3/4 a much cheee a turkey at the deli
The correct option is D. Mr. Thompson is buying more turkey than cheese.
A fraction with a higher numerator than the denominator is said to be an improper fraction. A mixed fraction has a value that is consistently greater than 1. A mixed fraction has a proper fraction part and a whole number part.
Here, the values are given in both improper and mixed fraction formats. As a first step, convert the given mixed fraction to an improper fraction.
Then, we get 7/4 and 3/4.
To find which fraction is greater, follow the below steps.
Observe the denominator of the given values. Here, the denominator is the same, which is 4.Now compare the numerator of the given values. Here, one is 7 and another is 3. The fraction with a large numerator is greater than another. Therefore, [tex]\frac{7}{4} > \frac{3}{4}[/tex].So, the amount of turkey is greater than the amount of cheese.
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The complete question is -
Mr. Thompson is buying [tex]1\frac{3}{4}[/tex] pounds of turkey and [tex]\frac{3}{4}[/tex] as much cheese as turkey at a deli. Which of the following statements is true?
A. He is buying the same amount of turkey and cheese.
B. He is buying less turkey than cheese.
C. He is buying twice as much turkey as cheese.
D. He is buying more turkey than cheese.
26) Write the following exponential expression in an equivalent form:
The following exponential expression [tex]2^{2x+2}[/tex] in an equivalent form is [tex]4^{x} *4[/tex].
What is an exponential equation?
Any equation with exponents in which the exponent or a portion of the exponent is a variable is known as an exponential equation.
Given, [tex]2^{2x+2}[/tex] = [tex]2^{2x} *2^{2}[/tex]
= [tex](2^{2})^x*4[/tex]
= [tex]4^{x} *4[/tex]
Therefore, the exponential expression [tex]2^{2x+2}[/tex] in an equivalent form is [tex]4^{x} *4[/tex]
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Tell whether the value is a solution of the inequality r+4>8; r=2
Answer:
No, it is not a solution to the inequality.
Step-by-step explanation:
If r = 2, the equation would be 2 + 4 > 8.
2 + 4 = 6.
6 is NOT greater than 8.
Raíz cuadrada de 157
Answer:12.5
Step-by-step explanation:
The equation 4/5d - 5 = 3/5d - 2 Represents the number of dimes, d, in a stack how many dimes are in the stack?
Answer:
d=10
Step-by-step explanation:
i hoped this helps
Answer:
15 dimes
Step-by-step explanation:
The equation 4/5d - 5 = 3/5d - 2 Represents the number of dimes, d, in a stack how many dimes are in the stack?
You are asked to solve for d:
4/5d - 5 = 3/5d - 2
subtract 3/5d from both sides:
4/5d - 5 - 3/5d = 3/5d - 2 - 3/5d
1/5d - 5 = -2
add 5 to both sides:
1/5d - 5 + 5 = -2 + 5
1/5d = 3
multiply both sides by 5:
5(1/5d) = 3(5)
d = 15
Michael draws a quadrilateral that has four congruent sides, but does not have congruent angles. Which best describes the quadrilateral michael drew?.
Michael depicts a quadrilateral with four congruent sides but no congruent angles; the generated quadrilateral is best described as a rectangle.
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with four equally long sides. Oblong is occasionally used to describe a rectangle that isn't square. Rectangle ABCD would be the designation for a rectangle with the vertices ABCD.a quadrilateral with four congruent sides but no congruent angles; the generated quadrilateral is best described as a rectangle.
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Please help I don’t understand
Answer:
1
Step-by-step explanation:
sum between numerators
(2x + 1)/(2x+1)
The division between tho equals numbers gives 1 as quotient
in 10 seconds jamal travels 550 feet oh his bicycle at this speed how many feet can he travel in 1 minute
Answer:
Step-by-step explanation:
if you where to add up on the byesicle you would get 560 but if you multiply you would get 5,500
In 10 seconds Jamal travels 550 feet on his bicycle at this speed he can travel 3300 feet in 1 minute.
This can be solved with the help of unitary method:
In 10 seconds Jamal travels= 550 feet
In 1 second Jamal travels= 550/10 feet
In 1 minute or 60 seconds Jamal travels= 550/10×60=3300
So at the same speed Jamal can cover 3300 feet in 1 minute.
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SHOW WORK FOR BRAINLIST
Answer:
x = -36, y = 25
Step-by-step explanation:
x + y = -11------>y = -11 - x
Substitute 11 - x for y into 2x - 3y = 3 and solve for x. Then find y.
[tex]2x - 3( - 11 - x) = 3[/tex]
[tex]2x - 33 - 3x = 3[/tex]
[tex] - 33 - x = 3[/tex]
[tex] - x = 36[/tex]
[tex]x = - 36[/tex]
[tex]y = - 11 - ( - 36) = - 11 + 36 = 25[/tex]
5
Riley is saving up to buy a new television. She needs a total of $1,028.25. Riley has saved $200.39 already and earns $75.26 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
OA. 10
OB. 12
OC. 9
OD.
11
Answer:
D. 11 weeksStep-by-step explanation:
Let the number of weeks Riley need to work is x.
She has $200.39 and will save $75.26 for x weeks to get $1028.25 total.
Set this as equation:
75.26x + 200.39 = 1028.25Solve it for x:
75.26x = 1028.25 - 220.3975.26x = 807.86x = 807.86/75.26x = 10.73 ≈ 11 (rounded to whole number)Correct choice is D
Answer:
d) 11
Step-by-step explanation:
Forming the equation,
→ 75.26w + 220.39 = 1028.25
Now the value of w will be,
→ 75.26w + 220.39 = 1028.25
→ 75.26w = 1028.25 - 220.39
→ 75.26w = 807.86
→ w = 807.86/75.26
→ w = 10.73425
→ [ w = 11 weeks ]
Hence, the answer is 11 weeks.
A block i pulled 0. 90 meter to the right in 2. 5 econd. What i the block' average peed to the nearet hundredth of a meter/econd (m/)?
If a block is pulled 0.90 meter to the right in 2.5 second, then the average speed is 0.36 meter per second
The distance that he pulled the block = 0.90 meter
The time taken = 2.5 second
The average speed is defined as the total distance travelled by the total time taken
The average speed = Total distance / Time taken
Substitute the values in the equation
The average speed = 0.90 / 2.5
Divide the terms
= 0.90 / 2.5
= 0.36 meter per second
Hence, if a block is pulled 0.90 meter to the right in 2.5 second, then the average speed is 0.36 meter per second
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Which triangle congruence postulate or theorem proves that these triangles are congruent?
Answer:
a squares + b squared = c squared
