4. The highest paid weekly wage of a group of
employees is $105. If the range of wages is
$27.50, how much does the lowest paid
employee receive?
Answer:
77.5
Step-by-step explanation:
105-27.5
IMMEDIATE HELP PLEASE, IT IS TIMED!!!!
True or False questions
3t + 7 = 3t + 6 Has NO Solution
5x - 6 = 3x - 6 + 2x Has NO solution
5+5b - 3 = 2 + 5b Has infinity many solutions
When an equation has one solution, the variable terms on both sides are the same.
Step-by-step explanation:
True
When an equation has one solution,The variable terms on both sides are the same
Answer:
true
hope it helps
thank you.....
find two solutions for the equation 2x + y = 3
Answer:
x=(3-y)/2
y=3-2x)
Step-by-step explanation:
2x+y = 3
x=(3-y)/2
y=3-2x)
Answer: [tex]X =\frac{3-y}{2}[/tex] OR [tex]y = 3 - 2x[/tex]
Step-by-step explanation:
In EFG e=2.6 cm f =7.2 cm and g=8.3 cm find the measure of
What is the 72nd term of the arithmetic sequence {an}={1.4,5.5,9.6,13.7,...}
Answer:
292.5Step-by-step explanation:
Given the sequence 1.4,5.5,9.6,13.7,...
The nth term of am arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
From the given data;
a = 1.4
d = 5.5-1.4 = 9.6-5.5 = 4.1
n = 72 (since we are looking for the 72nd term)
Substitute;
T₇₂ = 1.4+(72-1)(4.1)
T₇₂ = 1.4+71(4.1)
T₇₂ = 1.4+291.1
T₇₂ = 292.5
Hence the 72nd term of the sequence is 292.5
A group of friends were working on a student film that had a budget of $1200. They used 63% of their budget on equipment. How much money did they spend on equipment?
Answer:
0.63
Step-by-step explanation:
Approximately how much interest will accrue before next month's bill if Jill owes $4,500
on her credit card and it charges 21 percent annually?
Answer:78.75
Step-by-step explanation:21 percent of 4500 945 divided my 12 which is 78.75
Consider points A(2,3) and B(6,9). Find point C on the x-axis so AC + BC is a minimum. The point that minimizes AC + BC is C ( , ).
Answer:
the point C(x,0) = C(3,0) is the point where AC + BC is minimum.
Step-by-step explanation:
Solution:
This question is very simple to solve.
We need to find the x and y elements of point C, which is on the x-axis such that AC + BC = minimum.
So,
As, we have said that, point C is on the x-axis then, it means its y co ordinate will be equals to zero.
Now, we just need to find x co ordinate of the point C.
C (x, 0) as it is on the y -axis.
So, for that, we need to take the mirror image of point B. It means, its x co-ordinate will remain same but y co-ordinate will be negative.
So, our mirror image of B(6,9) = B'(6,-9)
Now, we have to join the points A and B'. Point C, which we are trying to find is the point where this line AB' intersects with x - axis.
So,
Slope of the line AB'
m = [tex]\frac{y1-y2}{x1-x2}[/tex]
m = [tex]\frac{3- - 9}{2 - 6}[/tex] = [tex]\frac{3+9}{2-6}[/tex]
m = [tex]\frac{12}{-4}[/tex] = -3
m = slope = -3
We also know that the equation of line:
y = mx + b
where b = y-intercept.
Now, we need to find the y - intercept of this line.
y = (-3) x + b
where y = -9 and x = 6
so,
-9 = (-3) (6) + b
b = -9 + 18
b = 9 = y - intercept.
SO,
y = mx + b
and For point C(x, 0) y = 0
0 = -3x + 9
Solve for x:
3x = 9
x = 3
Hence, the point C(x,0) = C(3,0) is the point where AC + BC is minimum.
Simplify (-56) = 7.
o
O A-8
O B. 9
O a -9
O
D. 8
Answer:
Step-by-step explanation:
o=-8
-56=7*(-8)=-56
Simplify the expression 1/6(12x-30)+18x
At a track meet , 10 different runners compete in the 1600m run.
How many different ways are there for the runners to finish? Show your work for full credit.
Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
[tex]A_{x} = x![/tex]
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
[tex]A_{10} = 10! = 3628800[/tex]
There are 3,628,800 different ways for the runners to finish.
5
Subtract. Write the expression below in simplest form.
(6x-2)-(-x+5)
===========================================
Work Shown:
(6x-2)-(-x+5)
6x-2+x-5
(6x+x)+(-2-5)
7x-7
When distributing the negative, don't forget to apply the negative to every term inside the parenthesis. So that means -x flips to x, while +5 flips to -5.
Ralph Chase plans to sell a piece of property for $160000. He wants the money to be paid off in two ways −a short-term note at 9% interest and a long-term note at 7% interest. Find the amount of each note if the total annual interest paid is $12900.
The amount of the 9% note is $___ and the amount of the 7% note is $___?
Answer:
9%=15,000
7%=12,000
thats what i think.
Answer:
The amount of 12% note is $90,000
The amount of 9% note is $80,000
Step-by-step explanation:
Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"
Selling price = $170,000
Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)
Given total annual interest = $18,000
Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)
18,000 = 0.12x + 0.09*(170000 - x)
18,000 = 0.12x + 15,300 - 0.09x
18,000 = 0.03x + 15,300
0.03x = 18,000 - 15,300
0.03x = 2,700
x = 2,700/0.03
x = 90,000
So, the amount of 12% note is $90,000
So long term paid money = $170,000 - $90,000 = $80,000
So, the amount of 9% note is $80,000
Step-by-step explanation:
The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75, percent of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 70, percent of their total subscribed households who watch those sports.
Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month.
What are the mean and standard deviation of the sampling distribution of p?
Answer:
The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029
Step-by-step explanation:
We use the Central Limit Theorem to solve this question. So
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Percentage of 70%, sample of 250.
This means that [tex]p = 0.7, n = 250[/tex]
Mean:
[tex]\mu = p = 0.7[/tex]
Standard deviation:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{250}} = 0.0290[/tex]
The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029
Answer:
μp^ = 0.7
σp^ = √0.7(0.3)/250
Step-by-step explanation:
I had this question on khans
What is 25.5 x 1.8 helppppp
Answer:
the answer is 45.9
Step-by-step explanation:
Answer:
45.9
Step-by-step explanation:
The GCF of 72 and 60 is 12 plz hurry I need it done today!!!
Answer:
its 12 :)
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
THE ANSWER IS 12
BRAINILIEST PLEASEPlease help me solve this cryptarithm. I will be grateful and you will earn 10 points.
Step-by-step explanation:
First, S must be 4, as if S was 5 the sum would be a 4 digit number.
T+N should be greater than 10 as we want to find the maximum.
Similarly, A+U must be greater than 10, making O equal to 9
We know that A+U-10 = T+N if T+N is less than 10 -- if T+N is greater than 10, A+U-10 = T+N - 10
Writing a quick python script that's not the cleanest nor most concise, I have
import pandas as pd
sols = []
sols_combos = []
num_sols = 0
for a in range(0, 10):
for u in range (0,10):
for t in range(0,10):
for n in range(0,10):
if (len({a,u,t,n}) == 4) & (4 not in {a,u,t,n}) & (9 not in {a,u,t,n}):
if (a+u >= 10):
if (t+n >= 10):
if ((a+u-10) == (t+n-10)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
else:
if ((a+u-10) == (t+n)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
list_max = [i for i, x in enumerate(sols) if x == max(sols)]
pd.Series(sols_combos).loc[list_max]
as my script.
the maximum I get for F is 5, and the solutions, in terms of A, U, T, and N are as follows:
[7, 8, 0, 5]
[7, 8, 2, 3]
[7, 8, 3, 2]
[7, 8, 5, 0]
[8, 7, 0, 5]
[8, 7, 2, 3]
[8, 7, 3, 2]
[8, 7, 5, 0]
This means that F is 5
The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?
Answer:
6570
Step-by-step explanation:
18x365=^
The sum of two integers is +15 and one of them is - 7. Which is the next integer?
(a)
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Sodium / Sodium 50 mg
Answer:
22
Step-by-step explanation:
Sum of two integers is 15. One integer is -7 and suppose other integer is x. Then
x+(-7)=15
x=22
y = 3x - 7
Is it linear or exponential
Answer:
Linear
Step-by-step explanation:
The equation y = 3x - 7 is a linear.
A linear equation represents a straight line on a graph, where the variables (in this case, x and y) have a linear relationship.
The equation has a constant coefficient (3) multiplying the variable (x), and a constant term (-7) added or subtracted.
An exponential equation involves variables in the exponent, such as
y = abˣ, where a and b are constants.
The variable x is in the exponent, indicating exponential growth or decay.
Since the equation y = 3x - 7 has a linear relationship and represents a straight line, it is classified as a linear equation.
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For for x.Help plz:) -2x+6=10
Answer:
x=-2
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
−2x+6−6=10−6
−2x=4
Step 2: Divide both sides by -2.
−2x=4
Find the missing side of each triangle. Round your answer to the nearest tenth if necessary.
Answer:
[tex]1.\ x = 5\ in[/tex]
[tex]2.\ x = 5\ mi[/tex]
[tex]3.\ x = 8.6\ km[/tex]
[tex]4.\ x= 14.1\ mi[/tex]
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the missing sides
All 4 triangles are right-angled. So, to calculate the missing sides, we apply Pythagoras theorem which states that:
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
Solving (1):
[tex]Hypotenuse = 13[/tex]
So, we have:
[tex]13^2 = 12^2 + x^2[/tex]
[tex]169 = 144 + x^2[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = 169 - 144[/tex]
[tex]x^2 = 25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{25[/tex]
[tex]x = 5\ in[/tex]
Solving (2):
[tex]Hypotenuse = x[/tex]
So, we have:
[tex]x^2 = 4^2 + 3^2[/tex]
[tex]x^2 = 16 + 9[/tex]
[tex]x^2 = 25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{25[/tex]
[tex]x = 5\ mi[/tex]
Solving (3):
[tex]Hypotenuse = 14.7[/tex]
So, we have:
[tex]14.7^2 = x^2 + 11.9^2[/tex]
[tex]216.09 = x^2 + 141.61[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = 216.09 - 141.61[/tex]
[tex]x^2 = 74.48[/tex]
Take positive square root of both sides
[tex]x = \sqrt{74.48[/tex]
[tex]x = 8.6\ km[/tex]
Solving (4):
[tex]Hypotenuse = 15.4[/tex]
So, we have:
[tex]15.4^2 = x^2 + 6.3^2[/tex]
[tex]237.16 = x^2 + 39.69[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 237.16 - 39.69[/tex]
[tex]x^2= 197.47[/tex]
Take positive square root of both sides
[tex]x= \sqrt{197.47[/tex]
[tex]x= 14.1\ mi[/tex]
F(t) = 212 - 61
what the value of t when F(t)= 140 ?
Answer:
[tex]t = -7\ \ \ or\ \ t = 10[/tex]
Step-by-step explanation:
Given
[tex]f(t) = 2t^2 - 6t[/tex]
Required
Find t, when [tex]f(t) = 140[/tex]
Substitute 140 for f(t) in [tex]f(t) = 2t^2 - 6t[/tex]
[tex]140 = 2t^2 - 6t[/tex]
Divide through by 2
[tex]\frac{140}{2} = \frac{2t^2 - 6t}{2}[/tex]
[tex]70 = t^2 - 3t[/tex]
[tex]t^2 - 3t = 70[/tex]
Subtract 70 from both sides
[tex]t^2 - 3t - 70= 70 - 70[/tex]
[tex]t^2 - 3t - 70= 0[/tex]
Expand
[tex]t^2 -10t + 7t - 70 = 0[/tex]
Factorize:
[tex]t(t - 10) + 7(t - 10) = 0[/tex]
[tex](t + 7)(t - 10) = 0[/tex]
Split:
[tex]t + 7 = 0\ \ \ or\ \ t - 10 = 0[/tex]
[tex]t = -7\ \ \ or\ \ t = 10[/tex]
Hence, the values of t are -7 and 10
The sum of Randy’s age and Mike’s age is 41. The difference of their ages is 7. Mike is older than Randy.
Let r represent Randy’s age and let m represent Mike’s age. Write two equations that represent the sum and difference of their ages. Part B. Find Mike’s age
Answer: 41-7=m
Mike is 34 yrs
Step-by-step explanation:
A system of equations that consist of parallel lines has
all the answers that apply)
.. (select
2
no solutions
an infinite number
of solutions
one solution
Answer:
no solutions or infinite solutions
Step-by-step explanation:
Is y=x^2 a fraction?
Answer:
Nope
Step-by-step explanation:
It's a exponent, x^2 means x*x so it's actually a function
A bracelet that regulaurly sells for $44 is on sale for 25% off. Find the sale price of the bracelet.
2x + 1 =5
What does x=
Answer:
2
Step-by-step explanation:
2x + 1 =5
2x=4
x=2
First isolate the term containing x which is 2x.
Subtract 1 from both sides to get 2x = 4.
Since x is being multiplied by 2, divide both sides by 2 and we have x = 2.
7x+3y=-21 in slope intercept form
Answer:
[tex]y= -\frac{7}{3}x -7[/tex]
Step-by-step explanation:
Answer:
y
=
−
7
3
x
−
7
Step-by-step explanation:
Brainliest?
Find the signs of the six trigonometric function values for the given angle.
48°
Answer:
The sign of all will be positive because 48 lie in 1st quadrant
Step-by-step explanation:
sin(48)= 0.743
cos(48)=0.669
tan(48)=1.11
cosec(48)=1.345
sec(48)=1.495
cot(48)=0.90
The sign of all will be positive because 48 lie in 1st quadrant.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
sin(48)= 0.743
cos(48)=0.669
tan(48)=1.11
cosec(48)=1.345
sec(48)=1.495
cot(48)=0.90
Hence, The sign of all will be positive because 48 lie in 1st quadrant.
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