Answers
Answer:
50
Step-by-step explanation:
This is the equation:
x = 5 + 3y
We know that:
x - y = 35
Meaning we only need to solve for y now:
(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15
Meaning the final formula is
x = 5 + 3(15)
x = 50
Let's set some variables before we solve:
First number ⇒ xSecond number ⇒ yOkay's lets read the question
'x' is 5 more than three times 'y'⇒ [tex]x = 3y +5[/tex]
⇒ [tex]x-3y=5[/tex]
Their difference is 35⇒ [tex]x - y = 35[/tex]
Let's put the two equations together and solve
[tex]x-3y=5 --equation1\\[/tex]
[tex]x-y=35 -- equation2[/tex]
(equation2) - (equation1)
[tex]2y = 30\\y = 15 -- equation 3[/tex]
(equation 3)'s value of y into (equation2)
[tex]x - 15= 35\\x = 50[/tex]
Thus: [tex]x = 50[/tex] and [tex]y = 15[/tex]
The larger number is 50
Answer: 50 or Choice 3
Hope that helps!
Related Questions
question 12. write the product using exponents
Answers
Simplify sqrt{5-n}^2 if n<5
Answers
The expression √(5 - n)² is a rational expression, and the simplified expression of √(5 - n)² is 5 - n
How to simplify the expression?The expression is given as:
√(5 - n)²
Where n < 5
The inequality n < 5 has no effect on the expression.
So, we have:
√(5 - n)² = 5 - n
Hence, the simplified expression of √(5 - n)² is 5 - n
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You collect a random sample of size n from a population and calculate a 95% confidence
with an increased margin of error?
O Use a 98% confidence level.
O Use a 90% confidence level.
O increase the sample size.
O Use the same confidence level, but compute the interval n times. Approximately 5% 0
© Nothing can guarantee that you will obtain a larger margin of error. You can only say
In a recent telephone survey, 5,000 randomly selected teenagers were asked to cite their primary social network site. Six of 10 teenagers said they use Mybook as
their primary social network site. A 95% confidence interval to estimate the true proportion of teenagers who use Mybook as their primary social network site is found to
be (0.2964, 0.9036). Which of the following is a correct interpretation of the confidence level?
O Ninety-five percent of all samples of this size would yield a confidence interval of (0.2964, 0.9036).
O There is a 95% chance that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (0.2964, 0.9036).
O Ninety-five percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who use Mybook as their primary
social network site
O Ninety-five percent of all the samples of size 5,000 lie in the confidence interval (0.2964, 0.9036).
O There is a 95% chance that randomly selected teenagers will be part of the 60% who use Mybook as their primary social network site.
(05.04 MC)
Leon wants to estimate the proportion of the seniors at his high school who like to watch football. He interviews a simple random sample of 50 of the 200 seniors on
campus. He finds that 32 like to watch football. Is the random condition for finding confidence intervals met? Explain.
O Yes, the random condition for finding confidence intervals is met because np = 32 and n(1 - P) = 18, both of which are greater than 10
O Yes, the random condition for finding confidence intervals is met because the sample size is greater than 30.
O No, the random condition for finding confidence intervals is not met because np = 32 and n(1 - p) = 18, both of which are less than 100
O No, the random condition for finding confidence intervals is not met because the sample is not at least 50% of the population
O Yes, the random condition for finding confidence intervals is met because the sample is a simple random sample.
Cilantro tastes like soap to some people. This soap taste is inherited through the olfactory receptor gene OR6A2. About 14% of the population has this gene. You wa
to estimate the proportion of Americans who have this gene. How large a sample must you test, with a 3% margin of error and 95% confidence, to estimate the
proportion of people who carry the OR6A2 gene?
O 514 people
O 134 people
O 17.689 people
O 35 people
01.028 people
The faculty members at McAdenville High School want to determine whether there are enough students to have a Winter Formal. Sixty-three of the 150 students
surveyed said they would attend the Winter Formal. Construct and interpret a 99% confidence interval for p.
O The 99% confidence interval is (0.3162, 0.5238). We are 99% confident the true proportion of students attending the Winter Formal is between 31 62% and
52.38%.
© The 99% confidence interval is (0.3162, 0.5238). There is a 99% chance that a randomly selected student who will attend the Winter Formal lies between
31.62% and 52.38%
O The 99% confidence interval is (0.3162, 0.5238). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.3162, 0.5238).
O The 99% confidence interval is (0.4762, 0.6838). We are 99% confident that the true proportion of students attending the Winter Formal is between 47 62%
and 68.38%
O The 99% confidence interval is (0. 4762, 0.6838). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.4762, 0.6838)
PLEASE HELP ASAP, please don’t waste my time if you don’t know what your talking about THANK YOU GUYSSS
Answers
A strategy which would produce a new confidence interval with an increased margin of error is to: A. use a 98% confidence level.
What is a confidence interval?A confidence interval simply refers to a range of estimated values which defines the probability that a population parameter will lie within it.
How to calculate the margin of error?Mathematically, a margin of error is calculated by using this formula:
[tex]MOE_{\gamma}=Z_{\gamma} \times \sqrt{\frac{\sigma^2}{n} }[/tex]
From the above formula, we can deduce that the margin of error is directly proportional to the critical value and inversely proportional to the square root of sample size.
This ultimately implies that, increasing the confidence level from 95% to 98% would increase the critical value and by extension the margin of error and vice-versa.
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A bag contains 5 pictures of Paris and 7 pictures of London. Determine whether the events of selecting the picture of Paris and another picture of Paris with replacement are independent or dependent. Then identify the indicated probability.
Answers
The events of selecting the picture of Paris and another picture of Paris with replacement are independent events.
The probability of picking two Paris pictures is 25/144.
What is an independent event?Independents events are events whose occurrence do not depend on each other. They are random event.
The probability of picking two Paris pictures = (number of Paris pictures / total number of pictures) x (number of Paris pictures / total number of pictures)
5/12 x 5/12 = 25 / 144
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Find the values of y in the following figures
(Give your answers correct to 3 significant figures if necessary)
Answers
Answer:
A)6
Step-by-step explanation:
First we can create a second traingle show in the picture so we figure out the base is 8 and hypotenuse is 10
so we use pythagerous
10^2-8^2=36
root of 36=6
Therefore x is 6 as they are the same height do to us knowing its a rectangle as it has 90 degree angles
The ordered pairs in this table lie in the graph of a linear function. Which equation represents the same linear function?
X Y
4 11
0 -1
-2 -7
-5 -16
A. y = x + 2
B. y = 3x – 1
C. y = 3x
D. y = x – 3
Answers
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the table, using the point (0, -1) and (4, 11), hence:
y - (-1) = [(11 - (-1))/(4 - 0)](x - 0)
y = 3x - 1
The linear equation that represent the pair of points (0, -1) and (4, 11) is y = 3x - 1
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Answer: B
Step-by-step explanation:
awnser okease quicxkly
Answers
Answer:
P': (-9,10)
Q': (-2,10)
R':(-2,0)
S':(-9,0)
Answer:
the answer for all of this question should be.
P=(-9,-10)
Q=(-2,-10)
R=(-2,0)
S=(-9, 0)
so hopefully those are the correct answers and sorry if i get them wrong because i tried my best i could as possible to get them right so have a great day.
Step-by-step explanation:
Pls someone
In this diagram, what is the BEST description of the transformation shown?
Answers
Answer: B) Rotation
Explanation:
The preimage has been rotated 180 degrees to land on the image.
Proof of this is to note that a point like (2,2) maps to (-2,-2)
The 180 degree rotation rule is [tex](x,y) \to (-x,-y)[/tex]. We flip the signs of each coordinate.
You can accomplish the same thing with two reflections: one over the x axis and the other over the y axis. However, a rotation is more direct.
Which is the graph of f(x) = x^2 – 2x + 3?
Answers
Answer:
The first graph
Step-by-step explanation:
-2x is the key here, when you add a subtraction sign to the x-axis it goes right.
+2x would be the graph on the bottom because it is translated to the left.
So the first graph on your picture is the answer.
Answer+Step-by-step explanation:
x² – 2x + 3 = (x - 1)² + 2
Then
The vertex of the parabola is the point (1 , 2)
then
The graph number 1 (on top) is the one which represents f
A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.
Round Volume answers to the nearest hundredth.
A) Find the volume of the cylinder. V=
B) Find the volume of the cone. V=
C) What fraction of the cylinder's volume is the cone's volume?
Answers
A. The volume of the cylinder is: 7389.03 in.³
B. The volume of the cone is: 2463.01 in.³
C. The volume of the cone is one-third (1/3) of the volume of the cylinder.
What is the Volume of a Cone and a Cylinder?Volume of cone = 1/3πr²hVolume of cylinder = πr²hA. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³
B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³
C. The volume of the cone is one-third (1/3) of the volume of the cylinder.
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A rectangular garden has a length of 6 feet and a width of 3 1/3 feet. Maria wants
to know the area of the garden so she can plan what to plant. Help Maria
determine the area.
Answers
Answer:
20 ft²
Step-by-step explanation:
Formula :
Area = length x widthSolving :
Area = 6 x 3 1/3Area = 18 + 2Area = 20 ft²Find fifth roots of 4-4i
Answers
common-size analysis is another term used for a ____ analysis
Answers
Look at the given triangles.
triangles
The blue triangle is a right triangle. The vertical leg is labeled with the expression 4 x plus 2. The horizontal leg is labeled with the expression 5 x minus 4. The hypotenuse is labeled with the expression 7 x plus 7.
The red triangle is a right triangle. The vertical leg is labeled with the expression x plus 3. The horizontal leg is labeled with the expression x plus 7. The hypotenuse is labeled with the expression 2 x minus 5.
a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
c. Find the perimeter for each triangle when x = 3
Answers
Answer:
Step-by-step explanation:
Blue triangle
a = 4x + 2
b = 5x - 4
c = 7x + 7
-------------------------------------------------
perimeter = a + b + c
4x + 2 + 5x - 4 + 7x + 7
16x + 5
Blue triangle Perimeter = 16x + 5
--------------------------------------------------
Red triangle
a = x + 3
b = x + 7
c = 2x - 5
perimeter = a + b + c
x + 3 + x + 7 + 2x - 5
4x + 5
Red triangle Perimeter = 4x + 5
-----------------------------------------------------
The difference between
Larger triangle -> Blue
Smaller triangle -> Red
(16x + 5) - (4x + 5) = 12x
------------------------------------------------------
Perimeter when x = 3
Blue triangle Perimeter = 16x + 5
16*3 + 5 = 53
Red triangle Perimeter = 4x + 5
4*3 + 5 = 17
Find each measurement indicated. Round your answer to the nearest tenth.
Answers
The measure of the angle B is 30 degree after applying the sin law of triangle.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B
[tex]\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}[/tex]
SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
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The distance traveled by a car traveling at a constant speed is directly proportional to the time spent traveling. If the car went 910 miles in 13 hours, how far will it go in 14 hours
Answers
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"d" directly proportional to "t"}}{d=kt}\qquad \textit{we also know that} \begin{cases} d=910\\ t=13 \end{cases} \\\\\\ 910=k13\implies \cfrac{910}{13}=k\implies 70=k~\hfill \boxed{d=70t} \\\\\\ \textit{when t=14, what is "d"?}\qquad d=70(14)\implies d=980~miles[/tex]
What am I supposed to do? Someone please help I frl will Lu.v 697 forever
Answers
Answer:
From the given diagram m>2 and m>3 are supplementary angles because they sum upto 180 degrees and m<2 and m<4 are vertically opposite angles1) Mark is buying 4 chairs for his business. The table shows the prices and the advertised sales for the same type
of chair at 4 chair stores.
Based on the advertised sales, at which store will mark get the lowest price on 4 chairs?
A) Store A: Buy 3 chairs and get the 4th chair free
B) Store B: Buy 4 chairs and receive $150 off the price of each chair
C) Store C: Buy 4 chairs and receive $550 off the total price
D) Store D: Buy 4 chairs and receive 35% off the total price
Quantitative Reasoning
(QR.6) Proportional Relationships
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Answers
Answer:
It's Store C
Hope this helps :)
Step-by-step explanation:
Got it right on USA TEST PREP :)
x-y=5
3x+y=3 can you pleas help me find x and y
Answers
Answer:
x= 2, y= -3
Step-by-step explanation:
Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!
x -y= 5
Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.
x= y +5 -----(1)
3x +y= 3 -----(2)
Substitute (1) into (2):
3(y +5) +y= 3
Expand:
3y +15 +y= 3
4y= 3 -15
4y= -12
y= -12 ÷4
y= -3
Substitute y= -3 into (1):
x= -3 +5
x= 2
Which number has a repeating decimal form?
A. the square root of 15
B. 11/15
C. 3/20
D. 2/6
please help me
Answers
DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Answers
Answer:
The last option
Step-by-step explanation:
You take the middle 2 numbers, add them up, and divide by 2.
I need help with all these asap!!
Answers
Answer:
correspondingalternate interiorcorrespondingalternate exterioralternate interioralternate exterioralternate exteriorcorrespondingalternate interioralternate interiorcorrespondingcorrespondingStep-by-step explanation:
hope this will help you
CORRESPONDING
2 - transversal is BA, angle is ALTERNATE
INTERIOR
3 - transversal is RS, angle is
CORRESPONDING
4 - transversal is TU, angle is ALTERNATE
EXTERIOR
5 - transversal is TU, angle is ALTERNATE
INTERIOR
6 - transversal is CD, angle is ALTERNATE
EXTERIOR
7 - transversal is TU, angle is ALTERNATE
EXTERIOR
8 - transversal is TU, angle is
CORRESPONDING
9 - transversal is AB, angle is ALTERNATE
INTERIOR
10 - transversal is CD, angle is ALTERNATE
INTERIOR
11 - transversal is RS, angle is
CORRESPONDING
12 - transversal is TU, angle is
CORRESPONDING
Select the correct answer. The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its rotation. The function describing this graph is a transformation of the parent sine function, y=sin(x). Which value best describes the maximum of the transformed function?
Answers
Answer:
105 feet
Step-by-step explanation:
Got it right
Answer:
105
Step-by-step explanation:
correct
If f(x) = 2x + 7, find f(5)
Answers
Answer:
17
Step-by-step explanation:
f(x) = 2x+7
Let x =5
f(5) = 2*5 +7
= 10+7
= 17
Using the properties of Integer exponents, match each expression with its equivalent expression.
Answers
The -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
5⁻³ = 1/5³ = 1/125
-5⁻³ = -1/5³ = -1/125
(-5⁻³)⁻¹ = (-1/5³)⁻¹ = (-1/125)⁻¹ = -125
(-5⁻³)⁰ = 1 [tex]\rm (a^0 = 1)[/tex]
Thus, the -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.
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Answer:
[tex]\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}[/tex]
[tex]\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}[/tex]
[tex]\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}[/tex]
[tex]\sf{4)\ \left(-5^{-3}\right)^{0}=1[/tex]
Step-by-step explanation:
Exponent Property Rules:
⟹ Zero Exponent Property - ex: x⁰ = 1
An integer (excluding 0) with an exponent of zero equals one.
⟹ Negative Exponent Property - ex: x⁻ⁿ = [tex]{\dfrac{1}{x^n}[/tex]
Any number raised to a negative power is equivalent to the reciprocal of the number's positive exponent.
⟹ Power of Product Property - ex: (xy)ⁿ = xⁿ × yⁿ
To find the power of a product, multiply the power of each factor.
[tex]\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}[/tex]
[tex]\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}[/tex]
[tex]\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}[/tex]
[tex]\sf{4)\ \left(-5^{-3}\right)^{0}=1[/tex]
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Which term should be used in the box?
5(x – 2x + 6x + 10) = 5x – 10x + ? +50
A) 30x
B) 30
C) 11.3
D) 11
Answers
Answer:
A) 30x
Step-by-step explanation:
5(x - 2x + 6x + 10)
Distribute:
5(x) + 5(-2x) + 5(6x) + 5(10)
5x - 10x + 30x + 50
Therefore, 5(x - 2x + 6x + 10) is equivalent to 5x - 10x + 30x + 50
Hope this helps!
Answer:
A) 30x
Step-by-step explanation:
Given equation:
5(x – 2x + 6x + 10) = 5x – 10x + ? + 50
Let the "?" be represented as "a". Then,
⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50
[Right hand side] Put all the terms inside a parenthesis (except "a").
⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50
⇒ 5(x – 2x + 6x + 10) = (5x – 10x + 50) + a
Isolate the "a" on one side by subtracting the terms inside the parenthesis.
⇒ 5(x – 2x + 6x + 10) - (5x – 10x + 50) = (5x – 10x + 50) + a - (5x – 10x + 50)
⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a
[Left hand side] Simplify the distributive property
⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a
⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a
[Left hand side] Open the parentheses
⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a
⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a
[Left hand side] Combine like terms and simplify
⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a
⇒ x(5 – 10 + 30 - 5 + 10) + (50 - 50) = a
⇒ x(30) = a
[Left hand side] Open the parenthesis and simplify
⇒ x(30) = a
⇒ 30x = a = ?
Therefore, the correct option is A (30x).
Divide
please help I will mark as brainliest
Answers
Answer: Heyaa!
Your Answer Is.. 16
Step-by-step explanation:
A.
Hopefully this helps you!
- Matthew
Answer:
16
Step-by-step explanation:
Dividing 2 fractions is the same as multiplying the fraction in the numerator with the inverse of the fraction in the denominator.
Therefore,
[tex]\frac{-20}{3}[/tex] ÷ [tex]\frac{-5}{12}[/tex][tex]-\frac{20}{3}[/tex] × [tex]-\frac{12}{5}[/tex]Note : -ve signs cancel out, cross multiply 20 and 5 to get 4, and cross multiply 12 and 3 to get 4⇒ 4 x 4⇒ 16Construct a confidence interval using a sample of size 15, with a sample standard deviation of 1.45, a sample mean of 5.3, and a confidence level of 90%. Write your answer EXACTLY as is given by Excel. Do not round.
Answers
A confidence interval is the mean of the estimate plus and minus the variation in that estimate.
How to depict the confidence interval?
From the excel, Confidence.T(0.10,1.45,15)
Margin of error = 0.659414066
Lower limit will be;
= mean-0.659414066
= 5.3 - 0.659414066
= 4.640585934
Upper limit will be:
= mean+0.659414066
= 5.3+0.659414066
= 5.959414066
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Last school year, trent kept track of the amount of time he spent on homework each night. this box plot shows the results. time spent on homework (min.) 20 40 60 80 100 120 what percent of the time did trent spend at least 80 minutes on homework?
Answers
The percentage of time spend at least 80 minutes on homework will be 66.66%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The time he spent on homework each night. this box plot shows the results.
The time spent on homework (min.) 20 40 60 80 100 120.
The percentage will be calculated as:-
Maximum time spent = 120 minutes
The percentage for 80 minutes of homework will be:-
= 120 / 80
= 0.66=66 = 66.66%
Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.
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Answer: 25%
Step-by-step explanation:
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 inches, how many turns does the back wheel make when the penny-farthing travels 100 yards? Use 3.14 for pi.
Answers
Answer:
81.9 turns
Step-by-step explanation:
100 yd = 36 × 100 in. = 3600 in.
C = πd
C = 3.14 × 14 in. = 43.96 in.
3600/43.96 = 81.9
Answer: 81.9 turns
