Answer:
See below
Step-by-step explanation:
Remark
Base angles of Isosceles triangles are equal.
Equation
That means that 8x + 14 = 14x - 15
Solution
8x + 14 = 14x - 15 Add 15 to both sides
8x + 14+15 = 14x Combine
8x + 29 = 14x Subtract 8x from both sides
8x - 8x + 29 = 14x - 8x Combine
29 = 6x Divide by 6
x = 29/6
x = 4 5/6
Answer
x = 4 5/6 or 4.833
8x + 14 = 8 * (4 5/6) + 14
8x + 14 = 38 2/3 + 14
8x + 14 = 52 2/3 or 52.6666
14x - 15 = 14 *(4 5/6) - 15
14x - 15 = 67 2/3 -15
14x - 15 = 52 2/3 or 52.666
Ryan received $7 more than Ben every week.
Both of them saved $50 per week and spent the rest.
When Ryan had spent $56, Ben had only spent $28.
How much money did Ben receive every week?
On a map, the distance between two cities is 4.5 inches. Using a scale of 0.75 inches = 50 miles, what is the actual distance between the cities?
a) 300 miles
b) 30 miles
c) 168.75 miles
d) 8.3 miles
Answer:30 MILES
Step-by-step explanation:
A professor gives a multiple choice exam where each question has four choices. The professor decides not to count a question against students if the class as a whole does worse on the question than they would have done simply by guessing. That is, if significantly less than 25% of the students answer a question correctly, then that question won't count against them.
Let p represent the proportion of students that would correctly answer the question.
Which of the following is an appropriate set of hypotheses for such a significance test?
ANSWER: H0:p=0.25
Ha:p<0.25
The hypotheses pair for the test of significance for the given situation is given as:
[tex]H_0: p \geq 0.25\\H_1: p < 0.25[/tex]
How to form the hypotheses?There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.
Null hypothesis is the one which researchers try to disprove.
For the given case, the test is being done to check if there is significance or not.
The null hypothesis would assume that the score is not significantly less than 25%, as null hypothesis stays with nullity or denial of what is being prominently tested, which is the fact that students performed significantly less than 25%
Thus, we get null hypothesis as: [tex]H_0 : p \geq 25\% = 0.25[/tex] (not significantly less than 0.25, so either proportion is 0.25 or bigger than 0.25)
Alternate hypothesis is the hypothesis statement we want to test, which is the statement that students performed significantly less than 25%.
or
Alternate hypothesis: [tex]H_1 : p < 0.25[/tex]
Thus, the pair of hypotheses for the given situation is given as: [tex]H_0: p \geq 0.25\\H_1: p < 0.25[/tex]
Learn more about null and alternate hypothesis here:
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PlZ, HELP ME, PLZZZZZZZZZZZZZZZZZZ!!!!!!!
1/5 (2x+1)-1/10(2x-1)
!!!!!!!!!
Thanks!!!!!! You Humans are Genius'
Answer:
x=
37
17
Step-by-step explanation:
The product of p and 5 write your expression here
The sum of 6 and x divided by 12 write your expression here
8 less than F write your expression here
The quotient of 15 and C added to the product of m and 2 write your expression here
Answer:
first one - 5p
second one - 6 + x/12
third one - f - 8
fourth one - 2m + 15/c
Step-by-step explanation:
Find the 2nd term in expansion of (4-2x)⁴ Show steps
[tex]\huge\mathfrak\pink{Answer}[/tex]
(4 - 2x) ²
[tex]\bold{(4-2x)^{4} }[/tex]
[tex]\bold{[(4-2x)^{2}]^{2} }[/tex]
[tex]\bold{(4-2x)^{2}(4-2x)^{2} }[/tex]
i need help really please
Answer:
B. 2, 3, 4, 5
Step-by-step explanation:
Whatever number you plug in the blank, the number it creates must be in between 0.362 and 0.321, because it's sorted from greatest to least and it is in the middle
The only option that works is B. The other options either don't have all possible numbers or have some that don't fit the boundaries.
ln x-ln(x-5)=ln2
Help in this problem please having problems on my homework
Find x if the average of 19, 12, 14, 18, and x is 12.
Answer:
-3
Step-by-step explanation:
To do this, let's arrange it into an equation:
(19+12+14+18+x) / 5 = 12
Let's shift the 5 to the other side by multiplying 12 by 5, which is 60. Now the equation looks like this:
19+12+14+18 + x = 60
Now let's add 19, 12, 14 and 18 together, which is 63:
63 + x =60
Let's move the 63 over to the other side by subtracting it from 60, so 60-63 equals -3. Hence, the answer is -3. Hope this helps!
For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.
(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey
Answer:
4x + 10
Step-by-step explanation:
Given
Let
[tex]t = time[/tex]
[tex]s = speed[/tex]
So:
[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours
[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours
Required
Distance covered in the first 2 hours
Distance (d) is calculated as:
[tex]Distance = speed * time[/tex]
i.e.
[tex]d = s * t[/tex]
For the first 2 hours, we have:
[tex]t = 2; s = (2x +5)[/tex]
So:
[tex]d = (2x + 5) * 2[/tex]
Open bracket
[tex]d =2x * 2 + 5 * 2[/tex]
[tex]d =4x + 10[/tex]
Hence, the distance covered in 4x + 10
4/1 divided by 3/4 help asap!!!
Answer:
3
Step-by-step explanation:
since 4 is made of four 1s 3 of them is 3
What is the surface area Round your answer to the nearest tenth and use 3.14 for pi Capsule Surface Area ? squared millimeters
Answer:
648.8 mm^2
Step-by-step explanation:
total surface area
=surface area of sphere + curve surface of cylinder
=4πr^2+2πrh
=4(3.14)(8.4/2)^2+2(3.14)(8.4/2)(16.2)
=648.8 mm^2 (nearest tenth)
Your gas company charges you a standing charge of 9 pence per day and 2 pence per kilowatt-hour (KWh).
In the last quarter (90 days) you used 500 units (m3) of gas. 1 unit is approximately 11.1KWh.
How much is your bill for the last quarter?
Answer:
$8.10 + 55.50 x $2 KW
= 8.10 + 111.00 = $119.10
Step-by-step explanation:
d = days and x = kw/h
9d = 2x = 9(90) = 500m3
1 unit m3 = 11.1 kwh
We rewrite
9(90) = 500 x 11.1
500 x 11.1 = 5550 KW
0.09 x 90 = 5550 KW
8.1 + 5550 x 0.02
= 8.1 + 111 KW
= 119.10
= $119.10
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
(A) −s
(B) −r
(C) 0
(D) r
(E) s
Answer:
Well t has to be zero, for r+t to equal r itself. so -s is equal to r, because it's r-0. Answer is C
Convert 0.6 radians to degree measure.
Round your answer to the nearest hundredth.
In 4/5 hours, Manuel reads 3/4 chapters. What is the unit rate in chapters per hour?
Manuel reads 3/4 chapter in 4/5 hours.
Rate = Chapter / Hours
Rate = (3/4) / ( 4/5)
Rate = 0.75 / 0.80
Rate = 0.9375
So, Manuel reads the chapter with rate 0.9375 chapters/hour.
Answer:
1 1/5, i think sorry if its wrong
Step-by-step explanation:
solve the equation 20.5 = x + 4
Answer:
16.5
Step-by-step explanation:
20.5 = x + 4
16.5 = x
x = 16.5
Answer:
x = 16.5
Step-by-step explanation:
20.5 = x + 4
20.5 - 4 = x + 4-4
which table shows data with variability?
Answer:
the table should show the data
Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36
Answer:
We need to find the first term. We can use the formula
an = a1 + d(n - 1)
to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.
a12 = -36
d = -4
n = 12
-36 = a1 - 4(12 - 1)
-36 = a1 - 44
8 = a1
The first term is 8. Therefore, your formula is
an = 8 - 4(n - 1)
an = -4n + 12
Then use this formula to graph.
n is the independent variable.
an is the dependent variable.
Your graph will be a line.
n | an
___________
1 8
2 4
3 0
4 -4
5 -8
6 -12
Step-by-step explanation:
give me brainliest.
THERE IS 2 QUESTIONS PLEASE HELP ME
Answer:
I only know the first on and it's B
Solve for x
9(x - 2) = 18
Ox=0
OX= 20/9
O x = 16/9
Ox=4
Answer:
x=4
Step-by-step explanation:
Multiply 9 to x and -2
You get 9x-18=18
add 18 to both sides
you get
9x=36
divide 9 from both sides
x=4
=> 9x - 18 = 18
=> 9x = 18 + 18
=> 9x = 36
=> x = 36/9
=> x = 4 (Ans)
Find the sector are. Round your answer to the nearest tenth.
A. 254.5 m2
B. 93.5 m2
C. 848.2 m2
D. 14.1 m2
im almost sure its a ............
If y varies directly as the x squaredand y = 200 when x = 5, what is the value of y when x = -3? a. Negative 72 b. 120 c. 72 d. Negative 120
Answer:
C i think
Step-by-step explanation:
Answer:
y varies as the x², y=200 when x=5
Step-by-step explanation:
y=(k)x
200=(k)5
200/5=40
therefore; y= -120 because
y=(40)-3
y=-120
9. The school record for the most points scored in a football season
is 85. Lawrence has 44 points so far this season. How many more
points does he need to break the record?
Answer:
42 More Points
Step-by-step explanation:
Subtract the record with Lawrence's current amount to get 41. BUT, we are not done, we want to BREAK the record, not just reach it so we need to add one to get our answer of 42.
Write 9y−2/11 as a sum or difference
A. 9y/11+2/11
B. 9y/11−2/11
C. 2/11−9y/11
D. 2/11+9y/11
Answer:
9 y/11 - 2/11
Step-by-step explanation:
(9y − 2)/11 as a sum or difference is B. 9y/11 − 2/11.
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Now the given expression is,
(9y − 2)/11
To find the sum or difference, let us isolate each term, we get,
(9y − 2)/11 = 9y/11 - 2/11
Thus, there are two terms 9y/11 and 2/11 separated by a subtraction so this is a difference.
9y/11 - 2/11
This is the required solution for the given expression as a difference.
Thus, (9y − 2)/11 as a sum or difference is B. 9y/11 − 2/11.
To learn more about sum or difference :
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#SPJ2
If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours
1.
Ahmal gets paid weekly at his summer job. He wants to save 15% of each paycheck. In four weeks, he earns these
amounts: $212.50, $235.00, $215.75, and $199.67. What is the total amount he will save for these four weeks?
Answer
UA. $31.88
B. $129.47
C. $733.65
D. $863.12
Answer:
$129.44
Step-by-step explanation:
15% of $212.50 + 15% of $235.00 + 15% of $215.75 + 15% of $199.67 =
= 0.15 * $212.50 + 0.15 * $235.00 + 0.15 * $215.75 + 0.15 * $199.67
= $31.88 + $35.25 + $32.36 + $29.95
= $129.44
Answer: $129.44
What is the solution for 6x=24?
Answer:
x = 4
Step-by-step explanation:
6 x 4 = 24
pls mark brainliest:))
Answer:
=4
Step-by-step explanation:
A national publication showed the following distribution of favorite class subjects for high school students.
Music
Other
Math
Social Studies
Class Subject
Percentage
English
141
Physical Education
26%
205
7%
5%
28%
Pasquale, a student from a high school of 1.200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and
asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
Submit
Other
Math
English
Physical Education
Social Studies
Class Subject
Observed
Music
6
6
8
6
7
He decides to conduct a chi-square goodness of-fit test to see whether his high school's distribution differs significantly from that of the publication Pasquale's statistics teacher tells him that his
information does not meet the conditions necessary for a goodness
of-fit test. Which condition has not been met?
1. Data are collected using a random sample or randomized experiment
IL n < 0.10N
III. All expected counts are greater than 5
Answer:
I and III
Step-by-step explanation:
Find the area of a trapezoid with bases of 6cm and 8cm and height of 12cm
Answer:
84cm
Step-by-step explanation:
have a good day! :)
Answer:
area = 84 cm
Step-by-step explanation:
[tex]A=\frac{a+b}{2}h[/tex]