Answers
The unknown = x
179+x/6=39
179+x =39*6
x = 234-179
Related Questions
use the least common denominator to enter equivalent fractions with like denominator and then find the sum. enter your answer in simplest form.
Answers
Statement Problem: Use the least common denominator to enter equivalent fractions with a like denominator and then find the sum. enter your answer in simplest form.
\(\begin{gathered} 5\frac{5}{8}= \\ + \\ 6\frac{6}{7}= \end{gathered}\)Solution:
First, we would change each of the mixed fractions to improper fractions;
\(\begin{gathered} 5\frac{5}{8}=\frac{45}{8} \\ + \\ 6\frac{6}{7}=\frac{48}{7} \end{gathered}\)Then, the least common multiple of 8 and 7 is;
\(56\)So, the sum of the fraction is;
\(\begin{gathered} \frac{45}{8}+\frac{48}{7}=\frac{315+384}{56} \\ \frac{45}{8}+\frac{48}{7}=\frac{699}{56} \\ \frac{45}{8}+\frac{48}{7}=12\frac{27}{56} \end{gathered}\)\(\begin{gathered} \frac{45}{8} \\ + \\ \frac{48}{7} \\ = \\ \frac{699}{56}=12\frac{27}{56} \end{gathered}\)Please help me for 15 points
Answers
Help help help help help
Answers
Answer:
4.5 = 13.5
11/2 = 16 1/2
36 = 12
46.5 = 15.5
Step-by-step explanation:
hope this helped!
What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
Answers
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.
Which expression can you use to find 23% of 52? ..
23% of $52 is $..
An easy way to check your answer is to use the friendly and divide 52 by to get ..
Answers
Answer:
Which expression can you use to find 23% of 52? "0.23 x 52"
23% of $52 is $. "11.96"
An easy way to check your answer is to use the friendly 25% and divide 52 by 4 to get 13.
Step-by-step explanation:
just did it good luck everyone
23% of $52 is $11.96.
In order to determine the value of 23% of $52, we would multiply 23% by $52. Multiplication is a basic mathematical operation that entails adding a certain number by itself a certain number of times. The sign used to represent multiplication is ×.
23% x 52
= 0.23 x 52 = $11.96
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Help me plzzzzzzzzzzzzzzzzzzz
Answers
Answer:
the answer is d.
Step-by-step explanation:
Just plug each value in the x column into the dependent variable equation and see if the dependent variable value is true.
What is the volume of the pyramid shown below?
A. 294 cu. units
B. 1008 cu. units
C. 196 cu. units
D. 112 cu. units
Answers
Answer:
C) 196 cu. units
Step-by-step explanation:
Volume = lwh/3
= 7 x 7 x 12 / 3
= 588/3
= 196
The volume of a square pyramid is 196 cubic units.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
From the given figure, side of square base is 7 units and height is 12 units.
We know that, the volume of square based pyramid =a²h/3.
Now, volume of a pyramid = 1/3 ×7²×12
= 49×4
= 196 cubic units
Therefore, the volume of a square pyramid is 196 cubic units.
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11.7 divided by 26.2
Answers
Answer:
Step-by-step explanation:
the answer is 0.4465 or if needed to be rounded then 0.45
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 degrees. The tree stands 20 ft off the hill. How high is the top of the tree from the base of the hill?
Answers
Answer:
Approximately \(101\; \rm ft\) (assuming that the height of the base of the hill is the same as that of the observer.)
Step-by-step explanation:
Refer to the diagram attached.
Let \(\rm O\) denote the observer.Let \(\rm A\) denote the top of the tree.Let \(\rm R\) denote the base of the tree.Let \(\rm B\) denote the point where line \(\rm AR\) (a vertical line) and the horizontal line going through \(\rm O\) meets. \(\angle \rm B\hat{A}R = 90^\circ\).Angles:
Angle of elevation of the base of the tree as it appears to the observer: \(\angle \rm B\hat{O}R = 51^\circ\).Angle of elevation of the top of the tree as it appears to the observer: \(\angle \rm B\hat{O}A = 57^\circ\).
Let the length of segment \(\rm BR\) (vertical distance between the base of the tree and the base of the hill) be \(x\; \rm ft\).
The question is asking for the length of segment \(\rm AB\). Notice that the length of this segment is \(\mathrm{AB} = (x + 20)\; \rm ft\).
The length of segment \(\rm OB\) could be represented in two ways:
In right triangle \(\rm \triangle OBR\) as the side adjacent to \(\angle \rm B\hat{O}R = 51^\circ\).In right triangle \(\rm \triangle OBA\) as the side adjacent to \(\angle \rm B\hat{O}A = 57^\circ\).For example, in right triangle \(\rm \triangle OBR\), the length of the side opposite to \(\angle \rm B\hat{O}R = 51^\circ\) is segment \(\rm BR\). The length of that segment is \(x\; \rm ft\).
\(\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}\).
Rearrange to find an expression for the length of \(\rm OB\) (in \(\rm ft\)) in terms of \(x\):
\(\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}\).
Similarly, in right triangle \(\rm \triangle OBA\):
\(\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}\).
Equate the right-hand side of these two equations:
\(0.810\, x \approx 0.649\, (x + 20)\).
Solve for \(x\):
\(x \approx 81\; \rm ft\).
Hence, the height of the top of this tree relative to the base of the hill would be \((x + 20)\; {\rm ft}\approx 101\; \rm ft\).
Final question no more lives
who ever gives me correct answer will get brainliest
Answers
The time take to fill the pool will be 494 hours.
How to calculate the TimeInlet pipe fills in 38 hours = 1 pool
Inlet pipe fills in 1 hours = 1/38
Drain pipe empty in 39 hours = 1 pool
Drain pipe empty in 1 hour = 1/39
If both pipes are opened together then in pool fills in 1 hour = 1/38 - 1/39
= 1/1482
Therefore, 1/1482 fills in 1 hour.
. Therefore, 1/3 will be:
= 1/3 × 1482
= 494 hours.
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In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
Answers
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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Find the volume of this sphere use three
Answers
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
A dollar store sells items for $1 and $2. You plan to go there and spend at least $20. Let x stand for the number of one-dollar items and let y stand for the number of two-dollar items. Write and graph a linear inequality that models the situation.
Answers
Answer:
5
Step-by-step explanation:
Help...giving 20 points
Answers
Answer:
A.) Cuberoot of 2
B.) (m-3)^ 1/2
C.) Cuberoot of 2² or simple Cuberoot of 4
D.) m^1/2 - 3
E.) Squaroot of 2
Step-by-step explanation:
write an equivalent expression to 9- 13/4m + 1/4m
Answers
9 - 3m
If you look at the like terms which are -13/4m and 1/4m it reduces to -12/4m which is the same thing as -3m.
Show that if v1,...,vp is linearly dependent in V, then the set of images, Tv1,...,Tvp, is linearly dependent in W. This fact shows that if a linear transformation maps a set v1,...,vp onto a linearly independent set Tv1,...,Tvp, then the original set is linearly independent, too (because it cannot be linearly dependent.)
Answers
If v1,...,vp is linearly dependent in V, then there exist scalars c1,...,cp such that c1v1 + ... + cpvp = 0.
Applying the linear transformation T to both sides of this equation, we get T(c1v1 + ... + cpvp) = T(0). Since T is a linear transformation, T(c1v1 + ... + cpvp) = c1T(v1) + ... + cpT(vp).
Therefore, Tv1,...,Tvp is linearly dependent in W. This shows that if a linear transformation maps a set v1,...,vp onto a linearly independent set Tv1,...,Tvp, then the original set v1,...,vp must be linearly independent as well, because if it were linearly dependent, then Tv1,...,Tvp would also be linearly dependent.
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Which is the largest ratio?
5/36, 2:9, 3 to 18, 1:3
Answers
The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.
How the largest ratio is determined:The ratio refers to the relative size of one quantity compared to another.
The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction. We can also express the ratio in its standard form (:).
Given Sum of Equivalent
Ratio Ratios Ratios
5/36 36 13.89% or 0.1389
2:9 11 18.18% or 0.1818
3 to 18 21 14.28% or 0.14.28
1:3 4 25% or 0.25
Thus, we can conclude that 1:3 is the largest ratio amont the others.
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A cyclist is riding a bicycle whose wheels have a diameter of 1.6 feet. Suppose the wheels turn at a rate of 280 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute.
Answers
Answer: a. 1759.52 radians/minutes
b. 1407.62 feet/minutes
Step-by-step explanation:
Diameter = 1.6 feet
Radius = Diameter/2= 1.6/2 = 0.8 feet
N = 280 revolution
a. Angular speed(w) = 2πN
= 2π × 280
= 560π
= 560 × 3.142
= 1759.52 radians/minutes
Speed of cyclist = wr
= 1759.52 × 0.8
= 1407.62 feet/minutes
Question 8(Multiple Choice Worth 2 points) (Laws of Exponents with Whole Number Exponents LC) Which is an equivalent expression for (52 • 34)3?
Answers
Answer:
An equivalent expression for (52 • 34)3 would be (52 • 34) • (52 • 34) • (52 • 34)
Another way to express this is (52)3 • (34)3
So it can also be written as (5^32^3) * (3^44^3)
It can be also expressed as 125 * (81*64)
This expression is the result of multiplying three times the product of 5^2 and 3^4
A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Answers
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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Is height always a statistical subject
Answers
Answer:
It Is!
Step-by-step explanation:
"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."
Find the zeros of f(x) =x^3+2x^2-3x
Answers
Answer: 0, 1, -3
Step-by-step explanation:
f(x) = x^3 +2x^2 -3x
f(x) = x(x^2 +2x-3)
f(x) = x(x-1)(x+3)
to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3
Write slope intercept form of th equation of each line
Answers
Answer:
y = 8/5x + (-4) or y = 8/5x -4
Step-by-step explanation:
Slope-intercept form is written like this:
y = mx + b
The variable m, represents slope and b, represents the y-intercept.
To find slope, you have to find the rise/run or in other words, change of y over change of x.
From the look of the line, the slope has to be positive because the line is going up.
To go from the bottom point to the top, we have to go up 8 points and go to the right 5 points. Thus the slope is 8/5.
Now for the y-intercept. This part is easy. Just ask yourself this...
"Which of the two points is on the y-axis?"
In this case, it is the bottom point which is -4.
So your equation should look like this:
y = 8/5x + (-4)
or y = 8/5x - 4 because when you have a plus sign and a minus sign, the result is negative.
hope this helps :)
The filling machine for a production operation must be adjusted if more than 8% of the items being produced are underfilled. A random sample of 80 items from the day’s production contained nine underfilled items. Does the sample evidence indicate that the filling machine should be adjusted? Use a level of significance of 0.01.
Answers
Answer:
\(z=\frac{0.1125 -0.08}{\sqrt{\frac{0.08(1-0.08)}{80}}}=1.071\)
The p value is given by:
\(p_v =P(z>1.071)=0.142\)
For this case the p value is higher than the significance level of 0.01 so then we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true proportion is significanctly higher than 8%
Step-by-step explanation:
Information given
n=80 represent the random sample taken
X=9 represent the number fo items undefilled
\(\hat p=\frac{9}{80}=0.1125\) estimated proportion of underfilled items
\(p_o=0.08\) is the value that we want to test
\(\alpha=0.01\) represent the significance level
z would represent the statistic
\(p_v\) represent the p value
Hypothesis to test
We want to test if the true proportion of items underfilled is higher than 0.08 and we got.:
Null hypothesis:\(p\leq 0.08\)
Alternative hypothesis:\(p > 0.08\)
The statistic is given by:
\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)
Replacing the info given by:
\(z=\frac{0.1125 -0.08}{\sqrt{\frac{0.08(1-0.08)}{80}}}=1.071\)
The p value is given by:
\(p_v =P(z>1.071)=0.142\)
For this case the p value is higher than the significance level of 0.01 so then we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true proportion is significanctly higher than 8%
Answer:
The sample evidence doesn't indicate that the filling machine should be adjusted.
Step-by-step explanation:
First, we need to define the null and alternative hypothesis as:
\(H0: p=0.08\\H1: p>0.08\)
Where p is the proportion of the items produced.
Then, we can find the statistic using the following equation:
\(z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }\)
Where p' is the proportion of the sample and n is the size of the sample. Replacing p' by 0.1125 (9/80=0.1125) and n by 80, we get:
\(z=\frac{0.1125-0.08}{\sqrt{\frac{0.08(1-0.08)}{80} } }=1.07\)
Finally, we can calculated the p-value as:
\(p-value=P(z>1.07)=0.1423\)
So, p-value is greater than the level of significance. It means that we can the null hypothesis and the sample evidence doesn't indicate that the filling machine should be adjusted.
Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Answers
=================================================
Work Shown:
11 rock songs
229 total
11/229 is the probability of randomly selecting a rock song. The fraction doesn't reduce since 11 and 229 have no factors in common (other than 1).
If you wanted to convert to decimal form, then 11/229 = 0.04803 approximately. This converts to about 4.803%
Zoe mows the lawn in the summer to earn extra money she usually charges $15 per week but she offers a special rate of $59.50 if a customer prepaid for 5 weeks. how much does a customer pay for each week with a special rate?
Answers
Answer:$11.90
Step-by-step explanation:
Divide 59.50 by 5
What is the product?
- 6(x²-1)-8(x+1)
O 6(x-1)²
O 6(x²-1)
O(x + 1)(6x-1)
O(x-1)(6x - 1)
Answers
Answer: C
Explanation:i got it right on my test
AUTUMN ALSO SAVED $500 THAT SHE KEEPS AT HOME DOES NOT ADD TO IT WRITE A FUNCTION G(X) TO MODEL THIS SITUATION
Answers
The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.
What is a mathematical function?A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.
There are many types of mathematical function, including:
Cubic functionLinear functionQuadratic functionPolynomial function.The amount that Autumn saved = $500
The amount that Autumn adds to the savings = $0
Let the number of periods that Autumn saves the above amount = x
Function:G(x) = 500 + 0x
Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.
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Can someone help me
Answers
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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10.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = −3x2 − 29x + 30
A. quadratic function; quadratic term: 4x2; linear term: −26x; constant term: −24
B. linear function; linear term: −29x; constant term: 30
C. linear function; linear term: −26x; constant term: −24
D. quadratic function; quadratic term: −3x2; linear term: −29x; constant term: 30
Answers
Answer:
D. quadratic function; quadratic term: −3x2; linear term: −29x; constant term: 30
Step-by-step explanation:
I got this answer correct on the quiz on Gradpoint.