Answer:
Number of term = 48
Step-by-step explanation:
GIven:
Arithmetic progression
2,5,8..
Total sum of Arithmetic progression is 392
Find:
Number of term
Computation:
First term a = 2
Difference d = 5 - 2 = 3
Sn = [n/2][2a + (n-1)d]
392 = [n/2][2(2) + (n-1)3]
392 = [n/2][4 + 3n - 3]
784 = [n][1 + 3n]
784 = n + 3n²
3n² + n - 784
n = 48 , n = -49
Number of term = 48
Allen earns $7 an hour to wait tables at a restaurant. In addition, he makes an $8 tip from each
table. He waited 6 tables and made $104. Which equation(s) below could be used to find the
total number of hours he worked? How many hours did he work?
Answer:
he worked 8 hours
Step-by-step explanation:
104= 8 x 6 + 7x
104= 48 + 7x
56= 7x
x=8
104 - 48= 56
56/7
Answer:
Equation - 7h + 8t = $104
Hours Worked = 8
Step-by-step explanation:
First, let's create an equation!
7h + 8t = $104 (Our variables are h = # of hours, and t = # of tables)
Now, we have to input what we know! We know that Allen worked 6 tables.
7h + 8(6) = $104
and finally we can solve this equation!
7h + 48 = $104
-48 -48
7h = 56
÷7 ÷7
h = 8
In conclusion, Allen worked 8 hours!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What value of x makes the equation 3x +7=22
Answer:
x = 5
Step-by-step explanation:
Your goal is to isolate x
3x + 7 = 22
Subtract 7 from both sides and you are left with
3x = 15
In order to isolate x divide both sides by 3
x = 5
HELPPP I need help ASAP please help me
9514 1404 393
Answer:
the first is two points; the second is the interval between (and including) those two points
Step-by-step explanation:
The equation ...
4 = |x +5|
has two solutions:
x ∈ {-9, -1}
__
In the interval between those two solutions the absolute value expression is less than 4. So, the second expression has a solution that is a range of values. Those values are in the interval whose boundaries are -9 and -1.
x ∈ [-9, -1]
__
The solution to the second expression can be found as ...
4 ≥ |x +5|
4 ≥ x+5 ≥ -4 . . . . express as a compound inequality
-1 ≥ x ≥ -9 . . . . . . subtract 5
__
The attached graph shows the two solutions. The solution to the first equation is the pair of (black) lines, x=-9 and x=-1. The solution to the second equation is the (orange) shaded interval -9 ≤ x ≤ -1.
Need help! Thank you :)
Answer:
The value of [tex]x[/tex] is 10.
Step-by-step explanation:
Both angles ABC and CBD are complementary, that is, the sum of the measures of both angles equals 90°, that is:
[tex]\angle ABC + \angle CBD = 90^{\circ}[/tex] (1)
If we know that [tex]\angle ABC = 5\cdot x[/tex] and [tex]\angle CBD = 4\cdot x[/tex], then the value of [tex]x[/tex] is:
[tex]5\cdot x + 4\cdot x = 90^{\circ}[/tex]
[tex]9\cdot x = 90^{\circ}[/tex]
[tex]x = 10[/tex]
The value of [tex]x[/tex] is 10.
Yanni read 24 pages of
a book. One third of the book is
still left to read. How many
pages are there in the
whole book?
Answer:
36 pages
Step-by-step explanation:
If one third of the book is left to read until completion, then Yanni has read two thirds of the book so far.
24 pages is equal to two thirds, so one third will be half of this; 12 pages.
The whole book is three thirds, so 12 * 3, which is 36 pages
Answer:
di gun0ifulgwuytid5
Step-by-step explanation:
DJ e57
What Is The 8th Decimal Place Of Pi?
Answer:
5
Step-by-step explanation:
3.14159265
Answer:
5
Step-by-step explanation:
3.14159265
5 is the 8th decimal point of π
What are the domain and range of f(x) = |x+6| ?
Answer: hey
Step-by-step explanation:
[tex] {ap}^{5} ( {a}^{2} + ap) - 12 {a}^{2} {p}^{6} [/tex]
Remove brackets and simplify
Write expression with two terms that is equivalent to the expression shown. 4(2x + 11 - x)
A passenger car will go 455 miles on 17.5 gallons of gasoline in city driving. What is the rate in miles per gallon?
Answer:
26 miles per gallon
Step-by-step explanation:
Take the miles and divide by the gallons
455 miles / 17.5 gallons
26 miles per gallon
Can someone help me on this Please
9514 1404 393
Answer:
11.6 cm
Step-by-step explanation:
As the page title tells you, the Pythagorean theorem must be applied more than once. As you know, it tells you the square of the hypotenuse is the sum of the squares of the two sides.
AD² = ED² +EA²
EA² = AD²-ED² = 7² -6² = 13
EA = √13 ≈ 3.606
__
CD² = ED² +EC²
EC² = CD² -ED² = 10² -6² = 64
EC = √64 = 8
__
The length of the horizontal diagonal is ...
AC = EA +EC = 3.6 +8 = 11.6 . . . cm
Which polynomial is prime?
Plz help!
Please help!! :D
Find the length of the midsegment.
Answer:
bdFd574)466&!'!9+/"(&$4+√®=™]
Annie bought a 2 3/4 pound roast for the family dinner. A total of 9 people will be at dinner. How many pound of roast will each person get if the roast is divided up equally?
Answer:
11 /36 of a pound
Step-by-step explanation:
Take the pounds and divide by the number of people
2 3/4 ÷ 9
Change the mixed number to an improper fraction
(4*2+3)/4 ÷9
11/4 ÷9
Copy dot flip
11/4 * 1/9
11/36
Can someone help me solve this geometry problem down below?
Answer:
x = 29
Step-by-step explanation:
Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.
Therefore:
m<CAB = m<CDE = 74°
m<ABC = 2x (given)
m<BCA = 48° (given)
Thus:
m<CAB + m<ABC + m<BCA = 180° (sum of triangle)
Substitute
74 + 2x + 48 = 180
Add like terms
2x + 122 = 180
2x + 122 - 122 = 180 - 122
2x = 58
2x/2 = 58/2
x = 29
what is 4 9/6 as a mixed number
Answer:
33
Step-by-step explanation:
6x4+9= 33
The American National Standards Institute specifications state that the
maximum slope of a wheelchair ramp should be one twelfth i.
The new ramp measures 5 feet high at its highest point and stretches
50 feet horizontally. Will this ramp pass specifications?
Answer:
No.
Step-by-step explanation:
Given that :
Maximum accepted Ramp slope = 1/12
A new ramp with :
Height range = 5 feets
Horizontal stretch = 50 feets
Th slope = Rise / Run = Height range / horizontal stretch = 5 / 50 = 1 / 10
1 / 10 > 1 / 12
This means the new ramp's slope is greater than than the maximum slope specification ; and hence not acceptable
the set of ordered pairs {(6,4),(2,-5),(-2,4)<(6,-4)} is a function?
Answer:
Not a function
Step-by-step explanation:
There are two points in the set that have the same x-value or "input": (6,4) and (6,-4). This fails the vertical line test which means that one input will give two potential outputs. This cannot make a function.
A pooled variance is an estimated weighted variance made up of several different populations when the mean of each population may be different, but one may assume that the variance of each population is the same.
a. True
b. False
Answer:
True
Step-by-step explanation:
Considering the above definition of Pooled Variance, the correct answer is TRUE.
This is because Pooled variance is used to determine the reasonable estimates of variance, where several repeated tests are expected at each value.
This helps to provide greater precision estimates of variance.
WILL MARK BRAINLIEST!!
Answer:
x=10
Step-by-step explanation:
[tex]\frac{3}{3}[/tex]=[tex]\frac{x+3}{13}[/tex]
Solve by cross multiplying
13×3=39
3(x+3)=3x+9
3x+9=39
3x=30
x=10
Answer:
x=10
Step-by-step explanation:
Assuming that the triangles are similar to each other, you can set up ratios
[tex]\frac{3}{3}=\frac{13}{x+3}[/tex]
since 3/3 is 1 and we know that anything other than 0 over itself is 1, we can deduce that x=10
The pie chart shows student participation in fundraisers
at Mountain View Middle School.
Mountain View Middle School
Fundraisers
Which describes a bar diagram showing the percent of
students who participated in dances?
1 shaded square out of 10 squares
2 shaded squares out of 10 squares
3 shaded squares out of 10 squares
4 shaded squares out of 10 squares
20
Carnival
Car Wash
Bake Sale
Talent Show
10
50
5
15
Dances
Answer:
Step-by-step explanation:
If you add all of the numbers up, you get 100. Dances are colored purple, and that is 20. 20/100 simplified is 1/5. 1/5 is equivalent to 2/10. Therefore, the answer is 2 shaded squares out of 10 squares.
Jordan Bikes 4/3 miles in 1/10 hours. whats is his speed in miles per hour?
Which expression is equivalent to the following complex fraction?
Answer:
Option B
Step-by-step explanation:
Answered by Gauthmath
lmk if you don't understand my handwriting
What is the mode for the set of data?
Ages
Stem Leaves
6 0, 5, 8
7 0, 2, 3, 5, 7, 8, 9
8 0, 2, 3, 4, 5, 6, 8, 9
9 6, 6, 7, 8
6|0 = 60 years old
81
96
38
6
Answer:
96
Step-by-step explanation:
Mode is the number that appears most often
96 appears twice and is the only numbers that appears more than once
96 is the mode
What is the quadratic regression equation that fits these data?
9514 1404 393
Answer:
D. y = -0.32x² -1.26x +15.81
Step-by-step explanation:
This is one of those multiple-choice questions where you only need a vague idea of what the answer is supposed to look like.
In this case the answer must be a quadratic equation with a negative leading coefficient. (The parabola opens downward.)
The only answer choice that is a 2nd degree polynomial with a negative leading coefficient is choice D.
__
A: linear equation
B: exponential equation
C: quadratic that opens upward (positive leading coefficient)
D: quadratic that opens downward -- the answer you're looking for
What is the difference between the temperature - 7 Celsius and - 12 Celsius on a scatter diagram
Answer:
Sự khác biệt giữa nhiệt độ - 7 độ C và - 12 độ C trên biểu đồ phân tán là gì
Step-by-step explanation:
Will mark BRAINLIEST if you help
This function is _____over the interval
[tex]x < - 1[/tex]
This function is_____ over the interval l
[tex] - 1 < x < 1[/tex]
Select all of the possible degrees of this polynomial function
2
3
4
5
Answer:
the answer to this question is 1
Step-by-step explanation:
the reason to that is because when the line goes over 2 and -2.
Answer:
first part is decreasing and increasing
second part is 3 and 5
Step-by-step explanation:
edg 2021
I need help with this
Answer:
C
Step-by-step explanation:
-2x + 7= 3x -8
+8
-2x + 15=3x
+2x
15=5x
divide
x=3
put 3 in one of the equations
y= 3(3) - 8
y=9-8 = y=1
answer is c
:))))
Help me please :) giving brainliest
Answer:
2.5
Step-by-step explanation:
You can change the equation from multiplication to division to get rate or time. We need the rate, so the equation should look like this now:
[tex]Distance/Time=Rate[/tex]
Now, we need to plug in the numbers we have...
[tex](5)/(2)=Rate[/tex]
...and solve for Rate:
[tex]Rate=2.5[/tex]
