Answers
Answer:
x = -7
Step-by-step explanation:
Hi!
Ok we know a few things here :
x + 37 + x + 67 + 90 = 180
2x + 104 = 90
2x = -14
x = -7
Hope this helps!
Have a great day! :)
Related Questions
an environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. is it sufficient for him to use a simple random sample of 172172 cars if hybrids currently account for 6%6% of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
Answers
It is enough for him to use a simple random sample of 172 cars.
It is required that there are at least 10 successes and 10 failures to test a hypothesis that involves a proportion p in a sample of size n.
Following conditions are required for it:
1) np ≥ 10
2) n (1-p) ≥ 10
p = 6% = 0.06
n = 172
np = 172x0.06 = 10.322 ≥ 10172 (1-0.06) = 161.68 ≥ 10So, there are at least 10 successes and 10 failures in the 172 cars sample, it is enough for him to use a simple random sample of 172 cars.
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-5< x < 5Graph the solution set on a number line
Answers
- 5 < x < 5
Number line:
2/3×4/5 in fraction bar
Answers
Answer:
8/15
Step-by-step explanation:
Multiply the numerators:
2*4 = 8
Multiply the denominators:
3*5 = 15
Now we have 8/15.
This cannot be simplified, so this is our final answer.
[tex]\frac{2}{3} \times\frac{4}{5}[/tex]
Multiply numerator by numerator and denominator by denominator:
[tex]2*4=8\\3*5=15[/tex]
[tex]\frac{8}{15}[/tex] would be your final answer.
What is the distance between the points (−7, −3) and (−7, −9) ? Responses
Answers
cenario 2: the directors of an annual community concert want to learn the musical preferences of the audience. the directors choose 2 and 6 from a random number generator and place a survey card on every sixth seat beginning with the second seat. all the cards are returned as the audience leaves. they are using
Answers
The sampling method used here is systematic sampling.
What is systematic sampling?
To generate a representative sample from a population, systematic sampling is a probability sampling technique.An advantage of systematic sampling is that it does not necessitate a comprehensive population list in advance. A sort of probability sampling technique called systematic sampling involves choosing individuals from a broader population using random beginning points and defined intervals.Random systematic samples, linear systematic samples, and circular systematic samples are the three primary categories of systematic samples.Here , this scenario is systematic sampling since it entails choosing n at random and selecting every nth person in the audience starting at a random point.To learn more about systematic sampling , refer:
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If a and b are two events defined on the same sample space, given that p(a) = 0.28 and p(aub) = 0.51, find the p(b) such that a and b are mutually exclusive
Answers
P(B) such that a and b are mutually exclusive is 0.23
A group of potential results from a specific experiment is an event. Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events.
Given: P(A) =0.28
P(AUB) = 0.51
We know,
P(AUB) = P(A) + P(B) - P(A∩B)
Since A and B are mutually exclusive events, they cannot happen together.
So, P(A∩B) = 0
Then,
P(AUB) = P(A) + P(B)
0.51 = 0.28+ P(B)
P(B) = 0.51 - 0.28 = 0.23.
Hence, P(B) = 0.23
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Given the polynomial f(x)=x⁴+3x³-3x²-x, which of the following is true?
a) (x+1) is a factor since f(-1)=0.
b) (x-1) is a factor since f(-1)=0.
c) (x+1) is a factor since f(1)=0.
d) (x-1) is a factor since f(1)=0.
Answers
2. The height (cm) of a plant during a period can be described with a function where time is 24 hours after planting. y=3+34x
How tall is the plant after 4 days?
What does the value y=3 mean?
Answers
Here given ,
y = 3 + 34x
We have to find height of plant after 4 days,
so, x = 4,
by substituting x,
y = 3 + 34 x 4
= 3 + 136
= 139 cm
here y = 3 means,
The corresponding function when the value of y =3 .
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Find the Factor Pairs (LOTS OF POINTS!)
Answers
The factor pairs which matches the number of tents to sleep exactly 40 boys with each tent having an equal number of boys are;
1 tent ===> 40 boys.2 tents ===> 20 boys each.3 tents ===> No match.4 tents ===> 10 boys each.5 tents ===> 8 boys each.6 tents ===> No match.7 tents ===> No match.What are the correct matches of factors such that each tent contains an equal number of students as the others?Since 40 students are to be equally distributed in each of the number of tents arrangement.
It follows that first, one must list the integer pairs whose products yield 40 as follows;
Hence, we have;
1 × 40.2 × 20.4 × 10.5 × 8.Hence, the factor pairs for each scenario of number of tents are as listed in the answer section above.
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Someone pls quickly answer these.
Answers
16) B =SAS
we have a vertical angle and two sides congruent
17) E = HL
if hypotenuse and leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.
18) F = not congruent
not congruent, not same sides with tick marks
19 A = SSS
We have 3 congruent sides
20) B = SAS
We have two congruent sides and right angle
21) E = HL
if hypotenuse and leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.
22) A, B, C and D are true. If I had to chose one, I would chose SSS.
If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and the two triangles are similar. So three angles AAA gives SSS, ASA, SAS, and AAS.
23) D =AAS
we have two angles and a congruent side
make k the subject
2A= πK^2 +3t
Answers
Answer:
k = ± [tex]\sqrt{\frac{2A-3t\p}{\pi } }[/tex]
Step-by-step explanation:
2A = πk² + 3t ( subtract 3t from both sides )
2A - 3t = πk² ( isolate k² by dividing both sides by π )
[tex]\frac{2A-3t}{\pi }[/tex] = k² ( take square root of both sides )
± [tex]\sqrt{\frac{2A-3t}{\pi } }[/tex] = k
Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?
3 inches= blank feet
Answers
Based on the number of inches in the drawing and the number of feet in real life, the scale that Paula used was 3 inches = 2 feet
What scale did Paula use?The scale that Paula used was such that the stage was 56 feet long in real life but 84 inches long on the drawing.
The scale can therefore be shown by the ratio:
56 feet : 84 inches
If the number of inches is 3 then the number of feet in the scale would be:
56 feet : 84 inches
x feet : 3 inches
Cross-multiplying gives:
84x = 168
x = 168 / 84
x = 2 feet
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G(x)=|x-2|
How do u solve this?
Answers
A line has a slope of – 1 and includes the points (9,2) and (8,p). What is the value of p?
Answers
Answer:
p = 3
Step-by-step explanation:
y = mx + b They gave us the slope of -1. We need to find the y intercept. We will use the x of 9 and the y of 2 to find b. We will plug these numbers in to find b.
y = mx + b
2 = -1(9) + b
2 = -9 + b Add 9 to both sides
11 = b
y = -x +11
Now, plug in 8 for x
y = -1(8) + 11
y = -8 + 11
y = 3
In this case p is 3.
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 14 fl oz per hour. How fast was the pipe leaking in gallons per day?
Answers
Answer:
6.5625 gal per hour
Step-by-step explanation:
Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour. Combining these: 14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr) = 6.5625 gal per hour. Written as a mixed fraction: 6 9/16 gal per hour.
Part of the graph of the function f(x) = (x + 4)(x - 6) isshown below.Which statements about the function are true? Selecttwo optionsThe vertex of the function is at (1,-25).6The vertex of the function is at (1,-24).The graph is increasing only on the interval -4
Answers
The vertex of the function is (1, -25) Correct
Because
f(x) = (x + 4)(x - 6)
Substitution
-25 = (1 + 4)(1 - 6)
Simplification
-25 = (5)(-5)
Result
-25 = -25 As both sides of the equation are equal this option is true
5) The graph is negative on the entire interval - 4 < x < 6 because the graph is below the x-axis
The diagram shows a quadrilateral ABCD with each of its sides extended.
AB = AD
Show that ABCD is a kite. Give a reason for each stage of your working
(The diagram is attached)
Thanks, by neve124
Answers
It is to be noted that by the proof given below, the attached shape ABCD is a kite.
What is a kite in Euclidean Geometry?A kite is a quadrilateral having reflection symmetry across a diagonal in Euclidean geometry. A kite has two equivalent angles and two pairs of adjacent equal-length sides as a result of its symmetry.
The proof is as follows:
AB = AD [Given]
∠ADC = 115° [Angles on a Straight line]
That is 180 - 65 = 115°
∠BCD = 20° [Vertical Angles are equal]
∠ABC = (360 - (20+115+110))
= 115° [Angles in a quadrilateral]
Hence,
ABCD = Kite [Definition of a Geometric Kit]
That is
It two equivalent angles (∠ABC and ∠ADC)It also has two pairs of adjacent equal-length sides (that is |AD| ≈ |AB|.QED
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The Mendez Family consists of two adults and two children. Their current monthly income is $4800. Calculate the percentage of the total budget for each category.
Answers
Percentage spent on transportation is 12%
Percentage spent on Property tax is 11%
Percentage spent on utilities is 9%
Percentage spent on food is 20%
Percentage spent on mortgage payment is 30%
Percentage spent on entertainment is 8%
Percentage spent on miscellaneous is 10%
What are the percentages?
Percentage is the fraction of a number expressed as a number out of 100. In order to convert a number of fraction to percentage, multiiply by 100. The sign that is used to represent percentage is %.
Percentage spent on transportation = (576 / 4800) x 100 = 12%
Percentage spent on Property tax = (528 / 4800) x 100 = 11%
Percentage spent on utilities = (432 / 4800) x 100 = 9%
Percentage spent on food = (960 / 4800) x 100 = 20%
Percentage spent on mortgage payment = (1440 / 4800) x 100 = 30%
Percentage spent on entertainment = (384 / 4800) x 100 = 8%
Percentage spent on miscellaneous = (480 / 4800) x 100 = 10%
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You had $30 yesterday. You spent 20% of it today. How much money do you have left?
Answers
ANSWER
$24
EXPLANATION
You had $30 yesterday and you spent 20% of it today.
Since you spent 20% of it, the percentage you will have left is:
100 - 20 = 80%
So, you have 80% of $30.
That is:
[tex]\frac{80}{100}\cdot\text{ 30 = \$24}[/tex]You have $24 left.
1. In the graph below, point D is reflected across the y-axis. What are the coordinates of its
image?
2
(3,-1)
(3, 1)
(-3,-1)
(-3, 1)
Answers
Answer:
3
Step-by-step explanation:
Simplify: 15.4 + 3.02
Answers
Answer:
18.42
Explanation:
15+3=18
0.4+0.02=0.42
18+0.42=18.42
f (x)=(x-3)^2 + 4 when is f increasing
Answers
Answer:
(3,∞)
Explanation:
Given the function:
[tex]f(x)=\mleft(x-3\mright)^2+4[/tex]The graph of f(x) is attached below:
The interval when f(x) is increasing is therefore: (3,∞)
Is arc length equal to the measure of the radian?
For instance, if the arc length is 5 units, does it also mean that the measure of the radian is also 5 units, or can it vary??
Answers
The arc length is equal to the measure of the arc in radians only if the radius of the circle is 1 unit, for all the other circles this is false.
Is arc length equal to the measure of the radian?For a circle of radius R, if we have an arc defined by an angle of θ radians, then the length of that arc is:
L = R*θ
Particularly, the length is equal to the measure in radians only if the radius of the circle is R = 1:
L = 1*θ
So the statement is only true for the unit circle but is false for every other circle.
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which of the following best describes XWO A. Angle bisectorB. MedianC. AltitudeD. Perpendicular bisector15W15Z
Answers
INFORMATION:
We have the next triangle
And we must select the answer that best describes XW segment
STEP BY STEP EXPLANATION:
We can see that XW segment divides the YZ side into two equal parts, which measure 15 units. And we can also see that the XW segment starts in one of the vertex of the triangles and goes to the opposite side.
Then, we can analyze the definition for the median of a triangle
Finally, if we compare, we can see that the definition of median describes the XW segment.
ANSWER:
B. Median.
can you please answer work the math problem the easiest quick way please
Answers
Given: the three points are plotted on graph.
For the first point it is observed that,
For the x =3/2 the value is y=6/2
For second point ,
For x= 9/2 the y value is y=12/2
For the third point ,
For x= 15/2 the y value is y=18/2
According to obtained information it matched to option J)
Answer: Option J)
A class measured the radius r, circumference C, and area A of various circular objects. The results are recorded in thistable. b. Does the equation A=1/2*r* C describe the relationships in the table? Explain your reasoning.YesNor (cm) C (cm) A (cm)42550
Answers
Equation:
A =1/2 * r * C
Replace with the values from the table and check the equation:
First row:
50 = 1/2*4*25
50= 50 TRUE
Second row:
78.5= 1/2*5*31.5
78.5= 78.75 FALSE
Since one equality is false, the equation Doesn't describe the relationship-
Answer : NO
What is x in this equation -7(x+-2)=-63
Answers
The given equation is [tex]\fbox{-7(x+(-2))=-63}[/tex]
Multiplying -7 with x and -2
=> -7x+14 = -63
Transposing 14 to right hand side with change in sign,
=> -7x = -63-14
=> -7x = -77
Canceling ‘-‘ on both sides ,
=> 7x = 77
=> x=[tex]\frac{77}{7}[/tex]
=> x = 11
Hence the required value of x is [tex]\fbox{x= 11}[/tex].
The difference between the two numbers is -1. Their sum is -27. Find the numbers. Let x represent the first number and y represent the second number. first number x = second number y =
Answers
Taking into account the definition of a system of linear equations, the first number is x= -14 and the second number y= -13.
System of linear equationsA system of linear equations is a set of linear equations (that is, a system of equations in which each equation is of the first degree) in which two or more unknowns are related.
Systems of linear equations have as a solution set all ordered pairs (x, y) that satisfy the equation, where x and y are real numbers. That is, solving a system of equations consists of finding the values of the unknowns, with which, when replaced in the equations, they must give the proposed solution.
This caseIn this case, a system of linear equations must be proposed taking into account that
"x" is the first number."y" is the second number.You know:
The difference between the two numbers is -1. Their sum is -27.The system of equations to be solved is
x-y= -1
x+y= -27
It is decided to solve the system of equations using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "x" from the first equation:
x= -1 +y
Replacing this expression in the second equation:
-1 +y +y= -27
Solving:
y +y= -27 +1
2y= -26
y= (-26)÷2
y= -13
Remembering that x=-1 +y, you get
x= -1 -13
x= -14
Finally, the numbers are -13 and -14.
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The values of the first and second numbers are - 13 and - 14 respectively.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let us assume that the two numbers are x and y.
Given, The difference between the two numbers is -1.
∴ x - y = - 1...(i)
And, Their sum is - 27 which is,
x + y = - 27...(ii)
Now, if we add eqn (i) to eqn (ii)
x + y = - 27
+ x - y = -1
---------------------
2x = - 28
+ y and - y get canceled and we get
∴ 2x = 26.
x = - 13.
Now, substitute the value of x in any of the eqn(i). we get y = - 14.
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betty and karen have been hired to paint the houses in a new development. working together, the women can paint a house in two-thirds the time that it takes karen working alone. betty takes 4 h to paint a house alone. how long does it take karen to paint a house working alone?
Answers
Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour then Karen working alone will paint a house in 3 hours.
How long does it take paint a house working alone?Since Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour.
Karen can even paint 1/x in 1 hour
Both of them will paint the house in 3/2 hours.
We then add them together which gives:
1/6 + 1/x = 3/2x
The lowest common multiple is 6x
1x/6x + 6/6x = 9/6x
We then leave out the denominators
1x + 6 = 9
simplifying the above equation, we get
x = 9 - 6
x = 3
Therefore, the value of x = 3.
Karen working alone will paint a house in 3 hours.
The complete question is:
Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 14 h to paint a house alone. Betty takes 6 h to paint a house alone.
Required:
How long does it take Karen to paint a house working alone?
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1. Seafood plays an important part of our daily nutrition. Mr. Beeg ate 1/6 of the fish for breakfast and 2/5 of the fish over lunch. What fraction of the fish has he already consumed?
expression: ___________
solution: ___________
final answer: ___________
2. Tita Flan planted trees around the barangay mini garden. She covered 2/3 of the garden on the 1st day, 1/5 of the garden on the 2nd day. How much of the garden is left for her to completely cover the mini park with trees?
expression: ___________
solution: ___________
final answer: ___________
3. Oil and Gas is one of the major causes of Global warming. Last 2020, it was estimated to 2/5 of depletion of the ozone layer. Projections revealed that by the year 2050, its effect will have increased three times. How much has oil and gas affected the ozone layer in the projection?
expression: ___________
solution: ___________
final answer: ___________
4. Mr. Bredwyn splits his monthly salary to family expenses. Half of it goes to savings and the other half is allocated to bills payment. 1/10 to water bill, 1/6 to electricity, 2/15 to Internet, and 3/5 to House Rental. What fraction of his total salary is allotted to House Rental?
expression: ___________
solution: ___________
final answer: ___________
Improper/random answer = Report!
Correct and complete answer = heart/brainly!
Answers
1. The fraction of the fish has he already consumed is 17/30.
2. The fraction of the garden is left for her to completely cover is 2/15.
3. The oil and gas that affected the ozone layer in the projection is 1 1/5.
4. The fraction of his total salary is allotted to House Rental is 3/10.
How to calculate the fraction?1. Mr. Beeg ate 1/6 of the fish for breakfast and 2/5 of the fish over lunch. The fraction already consumed will be:
= 1/6 + 2/5
= 5/30 + 12/30
= 17/30
2. Tita Flan covered 2/3 of the garden on the 1st day, 1/5 of the garden on the 2nd day. the fraction of the garden is left for her to completely cover the mini park with trees will be:
= 1 - (1/5 + 2/3)
= 1 - 13/15
= 2/15
3. It estimated to 2/5 of depletion of the ozone layer and projections revealed that by the year 2050, its effect will have increased three times. This will be:
= 2/5 × 3
= 6/5
= 1 1/5
4. The fraction of his total salary is allotted to House Rental will be:
= House rental / 2
= 3/5 / 2
= 3/10
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