Answer:
a = 15/8
Step-by-step explanation:
You want the solution to the two-step linear equation ...
-1/2 +1/3a = 1/8
SolutionWhen an equation involves fractions, it is often useful to clear fractions by multiplying the equation by their least common denominator. Here, that means we want to multiply the equation by 24.
-12 +8a = 3 . . . . . . multiply the given equation by 24
8a = 15 . . . . . . . . add 12
a = 15/8 . . . . . . divide by the coefficient of the variable
The solution is a=15/8 or 1 7/8.
Almost any kind of quantitative data can be represented by a graph and some of these graphs represent functions. This is why functions and graphs are the objects analyzed by calculus. The next two problems illustrate data which can be represented by a graph. Match the following descriptions with their graphs below:
Using the relation between velocity, distance and time, the items and graphs are matched as follows:
1. D.
2. B.
3. A.
4. C.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
Hence the distance is given by:
d = vt.
Along a city street, we have that:
The velocity would have a few peaks and few moments where it diminishes, due to breaking moments, hence item 4 matches with graph c.The distance would have a few slow increases and a few moments where it remains almost constant, hence item 1 matches with graph 4.We can verify this that when graph C(velocity) is zero, graph D(position) is constant.
Along a superhighway we have that:
The velocity would increase until the maximum velocity then remain constant there, hence item 3 matches with graph a.The distance would have an almost constant increase, hence item 2 matches with graph b.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
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Can somebody help me if you know what this is
Answer:
C
Step-by-step explanation:
what is the greatest common factor of 72 and 54 ?
in other words, what is the biggest number that divides both numbers without remainder ?
I use a prime factor analysis (identify all the prime factors).
72 :
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 2 no
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
72 = 2⁴×3²
54 :
54 ÷ 2 = 27
27 ÷ 2 no
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1 finished
54 = 2×3³
the largest number that can divide them both without remainder is the combination of the prime factors they have in common :
2 × 3² = 18
Brainliest, 40 pts, & 5-stars.
Consider the following polygon. Determine the measure of both angles A and B. Show your work. (Note: image is not drawn to scale)
Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;
Angle A: 119º.Angle B: 93º.What is the sum of the internal angles of a polygon?The sum of the internal angles of a polygon with n vertices is given by the following equation:
S = (n - 2) x 180º.
For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:
S = (6 - 2) x 180º = 720º.
Considering each internal angle, we can solve for x as follows:
13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720
29x + 517 = 720
29x = 203
x = 203/29
x = 7.
Then the measures are given as follows:
Angle A: 16 x 7 + 7 = 119º.Angle B: 13 x 7 + 2 = 93º.More can be learned about the sum of the internal angles of a polygon at https://brainly.com/question/224658
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3.71 thousand in ordinary notation
3.71 thousand is written as 3,710
In figures, the digits in 3.71 thousand are separated with commas and written as 3,710.
The number 1 thousand in numbers is 1000 . Therefore, if we want to find x thousand in number form, we want to find x copies of 1000 in number form. To do this, we simply multiply x by 1000.
x thousand = x × 1000
This gives that to find 3.71 thousand in numbers, we multiply 3.71 times 1000.
3.71 × 1000 = 3710
If we want to write 3.71 thousand in words, then it will be written as
three thousand seven hundred ten.
Therefore, 3.71 thousand as a number is 3710 and It has 1 zeros.
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length of each side of a regular polygon is 6.4cm complete the error interval for the perimeter
The length of each side of a regular pentagon
a)6.4cm
b) 32cm
a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.
b) A pentagon has 5 sides.
The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.
Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).
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Hello can someone helping me please #6
cjbvgfdy bfhjcbtyfevg7 nfeduvg uefbf tykvybleybvuyfvb yufe
Answer:
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Step-by-step explanation:
Please help I will give Brainly pls !
Answer:
The student's GPA is 3.12
Step-by-step explanation:
Multiply the grade by the weight to determine the grade point;
= (3.8 x 5) + (2.4 x 3) + (3.1 x 5) + (2.9 x 5)
= 19 + 7.2 + 15.5 + 14.5
= 56.2
Total weight = 5 + 3 + 5 + 5 = 18
GPA = 56.2/18
=3.12
Does 3 4 5 make a right triangle WILL GIVE 30 POINTS
True
The three internal angles of a 3-4-5 right triangle are 36.87 °, 53.13 °, and 90 °. As a result, a 3 4 5 right triangle is a scalene triangle since the lengths and internal angles of all three sides differ.
Remember that a 3-4-5 triangle does not necessarily imply that the ratios are 3: 4: 5; it might be any common component of these numbers. A 3-4-5 triangle, for example, can alternatively adopt the following shapes:
They can have varying dimensions, but the 3-4-5 right triangle is the most popular.
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50 PTS
Which relation is a function?
Answer:
Options C and DStep-by-step explanation:
Looking at the graphs we can state that:
A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.
B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.
C) Is a function as each x-value has a unique y-value:
(-3, 2), (- 1, 1), (0, - 3), (4, 1)Passes the vertical line testD) Is a function as each x-value has a unique y-value:
(-3, -2), (-2, - 1), (0, 3), (1, 0), (2, - 3)Passes the vertical line testThe area of a triangular pendant on a necklace is square inch. The height of the
triangle is 14 inches. What is the length of the base of the triangle?
Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.
What is the length of the base of the triangular pendant?The area of a triangle is expressed as;
A = 1/2 × base × height
Given the data in the question;
Area of the triangular pendant A = 70 square inchHeight h = 14inBase = ?To determine the base of the triangular pendant, we plug the values into the equation above.
A = 1/2 × base × height
70 = 1/2 × base × 14
70 = 14/2 × base
70 = 7 × base
base = 70/7
base = 10 inches
Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.
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If m< 4 = 130°, find m< 7.
Answer:
Are m< 4 and m< 7 supplementary angles?
In that case the answer is m< 7=50 degrees.
Step-by-step explanation:
In that case...
m< 4+m< 7=180
130+m< 7=180
130-130+m< 7=180-130
m< 7=50 degrees
a circle has a radius of 3m. find the length s of the arc intercepted by a central angle of 2pi/3 radians
Answer:?
Step-by-step explanation:
1 is subtracted from the cube of a number.
The expression of the statement is x^3 - 1
How to determine the expression?The mathematical statement is given as
1 is subtracted from the cube of a number.
Let the number be x
So, we have
1 is subtracted from the cube of x
The cube of x is x^3
So, we have
1 is subtracted from x^3
Rewrite as
x^3 - 1
Hence, the expression of the statement is x^3 - 1
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The heights of women aged 20-29 in the United States are
approximately Normal with mean 64.1 inches and standard
deviation 3.7 inches. Men the same age have mean height
69.4 inches, with standard deviation 3.1 inches.
Cheryl D. Fyar et al., "Anthropometric reference data for children and adults:
United States, 2011-2014, Val and Health Statistics, Series 3, no. 39 (August
2016), at www.ode govchs. This report provides the means of various
anthropometric measurements. Standard deviations were computed from the
sample size and reported standard errors of the mean. Instructions on
measuring upper arm length are in the National Health and Nutrition
Examination Survey: Anthropometry Procedures Manual, January 2007.
M
B
O
Surat pen
What is the z-score for a woman 5.5 feet tall? Give your
answer to two decimal places.
-1.16
Incorrect
N
Sep 8
10:28
Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Considering that each feet has 12 inches, the parameters are given as follows:
[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]
Hence the z-score is found as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (66 - 64.1)/3.7
Z = 0.51
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How is using mental math to add money like using mental math to add whole numbers? How is it different?
Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that;
Money addition is always in base ten and The unit is always same with the unit of the particular currency used.What is mental math?
The term mental math refers to the method of completing mathematical calculations without the use of calculator or pen and paper. This is actual solving a mathematical problem and not memorizing answers. It is a quality one learns over time after understanding how to solve the problem.
Mental math covers addition subtraction and other mathematical solution methods. It is used to make calculations simpler and fairly easier.
'what is whole numbers?This is a number that is not expressed as fraction or decimals. examples of whole numbers are 2, 5, 17, 200, -85 and so on. addition of such numbers can be done with mental math.
Since money can appear as whole numbers, addition of money with mental math and addition of whole numbers with mental math is same. The difference is that: Money addition is always in base ten and the unit is always same with the unit of the particular currency used. However whole numbers may occur is units outside the unit of money and in other number bases that is not base ten
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A plant that manufactures metal plates has a quality control team to check that the plates are the right size. A rectangular plate with dimensions 5 cm by 3 cm must have a length 0.25 cm above or below 5 cm. Use the solution to the equation |x − 5| − 0.25 = 0 to find the minimum and maximum area, in sq. cm, of the plates
Minimum:
Maximum:
From the calculations; the minimum area is 14.25 cm^2 and the maximum area is 15.75 cm^2
What is area of rectangle?We define the area as the product of length of the rectangle and width of the rectangle. We can give the unit of the area as square units. The area is the measure of the plane that has been covered by an object.
We have;
size of rectangular plate = 5 cm by 3cm.
Range of length = 0.25 of 5 cm
The minimum and maximum area are;
We can now formulate the following to solve the problem;
5 - 0.25 ≤ L ≤ 5 + 0.25
4.75 ≤ L ≤ 5.25
Area of rectangle = Length × Width.
Width = 3
minimum length = 4.75
maximum length = 5.25
minimum length
= 4.75 * 3
= 14.25 cm^2
maximum length
= 5.25 * 3
= 15.75 cm^2
We now obtain the minimum area as 14.25 cm^2 and the maximum area as 15.75 cm^2
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Does 1/6, -3, √7, -6/5, or 4.5 come first when the numbers are listed from least to greatest? Explain.
Answer:
-3
Step-by-step explanation:
The smallest one is chosen between the two negatives as all the rest are greater.
- 3 is smaller than - 6/5= -1.2 as 3 > 1.2
the answer is -3
I am outside the path. I am the diffference of 2 numbers inside the path. I am less than 5. What number am I?
Answer:
I think 0
Step-by-step explanation:
Can you use the angle bisector theorem to solve for RU?
Answer:
Can you use the angle bisecto
Step-by-step explanation:
Answer:
yes , we can use the angle bisector theorem to solve for RU
Step-by-step explanation:
In which situation would the result be 0?
Answer:
C, adding -1 1/2 to the coordinate of point J.
Step-by-step explanation:
J= 1 1/5
Equation : 1 1/5+(-1 1/2)
Use distributive property and by multiplying the + sign by the negative #, you get a negative.
- positive x negative = negative
So, : 1 1/5-1 1/5
= 0
1/-(x+1) = 1/-x-1
true or false
Given that x is rational
By the property of addition, if 1 is added to any number, it exceeds the next number and doesn't remain the same.
Hence, x + 1 is not equal to x
The given statement is false.
Try This: For every rational number x, x + 0 = x. Is it true or false?
By the property of additive identity, any number added with 0, remains the same.
Hence, x + 0 = x, the given statement is true!
Find the rate of change from 2012 to 2015
Answer:
3 years
Step-by-step explanation:
Use the diagram to complete the task. Move a number to each line to show the ratio of squares to pentagons.
Answer:
use gauth math
Step-by-step explanation:
For ΔFGH, shown below, which of the following is an expression for yin terms of x?
x+4
x2+4−−−−−√
x2+8−−−−−√
x2−16−−−−−−√
x2+16−−−−−−√
The expression for y in terms of x is √x^2 + 16
How to determine the expression for y in terms of x?The figure represents the given parameter
On the figure, we can see that the triangle is a right triangle, where the side HG is the hypotenuse
By the Pythagoras theorem, we have the following equation
HG^2 = HF^2 + FG^2
This gives
y^2 = x^2 + 4^2
Evaluate the exponents
y^2 = x^2 + 16
Take the exponent of both sides
y = √x^2 + 16
Hence, the expression for y in terms of x is √x^2 + 16
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5. Give the ratio of boys to girls in a class if there are 15 boys and 18 girls.
Question 5(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write and solve an equation that represents the following math sentence.
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
26 13.5+- m=5
m
2.5
26=13.5+m; m = 31.25
2.5
26 13.5+ 2.5m; m = 5
O26 13.5+2.5m; m = 31.25
The expression of the statement is 26 = 13.5 + m/2.5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
What are rational expressions?Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.
This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals
How to determine the rational expression?The mathematical statement is given as
Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.
Let the number be m
So, we have
Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.
Quotient means divide
So, we have
Twenty-six equals the sum of 13.5 and m/2.5
Sum means addition
So, we have
Twenty-six equals 13.5 + m/2.5
Equals means =
So, we have
Twenty-six = 13.5 + m/2.5
Rewrite as
26 = 13.5 + m/2.5
Hence, the expression of the statement is 26 = 13.5 + m/2.5
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Answer:
A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.
To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5
To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:
26 - 13.5 = m/2.5
12.5 = m/2.5
m = 12.5 * 2.5
m = 5
Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.
Let f(x) - 3 and g(x)=8+11
What is the solution of this equation?
x + 3 = 14
Enter the correct answer
Answer: 11
Step-by-step explanation:
Answer:
11+3=14 x=11
Step-by-step explanation:
What was asked:
What is the solution of this equation?
Step 0 x + 3 = 14
Step 1 14-3=11
Step 2 x=11
Therefore 11+3=14
6 ÷ 1/4 I need help quick
Answer: your answer is 1 and 1/2
Step-by-step explanation: