Answer:
4:5
Step-by-step explanation:
28:35
28/7:35/7
4:5
hopefully this helps :)
The following table shows the salary of 7 people in an office last year.
Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £19250
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
a. Mean = £27928.57
b. Mean without Deva's income = £19416.67
Step-by-step explanation:
The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.
So,
Number of values = n = 7
Now,
[tex]Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..[/tex]
Rounding off to two decimal places
Mean income = £27928.57
Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:
[tex]Sum = 195500-79000 = 116500[/tex]
The mean without Deva's income is:
[tex]Mean = \frac{116500}{6} = 19416.6666..[/tex]
Rounding off to 2 DP
Mean = £19416.67
Hence,
a. Mean = £27928.57
b. Mean without Deva's income = £19416.67
Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.
b. the graph of f(x) is a horizontal stretch of the graph of the parent function.
The True statement is
The graph of f(x) is a horizontal stretch of the graph of the parent function.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).
We have,
f(x) = -2/3 |x+4| - 6
So, -2/3 |x+4| - 6 = 0
-2/3 |x+4| = 6
|x+4| = -9
so, the vertex is not (-4, 6).
Here the -6 in the function shows the horizontal stretch.
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The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds
Answer:
it would take the adverage of 10 weeks for her to lose 5 pounds did that help?
Step-by-step explanation:
is 6.7 rational or irrational
Answer:
Rational
Step-by-step explanation:
Rational numbers can be expressed, while irrational numbers (such as pi) go on forever.
Hope I helped!
Sam has 3x + 4 dollars saved. Tessa has saved 7x + 16 dollars. Together they
have $110 saved. How much money have they each saved individually?
Step-by-step explanation:
3x + 4 + 7x + 16 = 110
10x = 90
x = 9
therefore, Sam = $31 and Tessa = $79
Topic: Algebraic Equations
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
Sam: 31
Tessa: 79
Step-by-step explanation:
3x+4+7x+16=110
10x+20=110
10x=110-20
10x=90
x=9
Money Sam saved
=3(9)+4
=27+4
=31
Money Tessa saved
=7(9)+16
=63+16
=79
HELP ASAP! WILL MARK BRAINLYNESS OR WHATEVER ITS CALLED
Which statement best describes a graph of paired points that form a proportional relationship?
A straight line can be drawn through all the points and the line passes through the origin.
A straight line cannot be drawn through all of the the points but the line passes through the origin.
A straight line can be drawn through all the points but the line does not pass through the origin.
A straight line cannot be drawn through all of the the points and the line does not pass through the origin.
Answer:
the first one.
Step-by-step explanation:
The correct answer is "A straight line can be drawn through all the points and the line passes through the origin."
Determine the type of triangle that is drawn below. ASAP
Answer:
scalene acute
Step-by-step explanation:
all side are different and all angles are acute
Answer:
The answer is scalene acute
Which of the following algebraic expression represents the sum of 6 and one-fifth of x?
A.
6.2x
B.
0.2 + 6x
C.
6 + 0.2x
D.
(6 + x)0.2
Answer:
C. 6 + 0.2x
Step-by-step explanation:
6 + 1/5 x = 6 + 0.2x
Answer:
c
Step-by-step explanation:
even tho you called my question thicc..
Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 extra card when he returms your cards. What is the annual rate of interest he is willing to pay for the borrowed cards?
Answer: 1 extra card
Step-by-step explanation:
Write an expression
Your cellphone costs $0.50 for the first minute and $0.35 for
each additional minute.
Answer:
0.50+0.35x
Step-by-step explanation:
Answer:
0.5+0.35m
Step-by-step explanation:
Mrs. Adams paid $33.60 for 3.2 pounds of Hawaiian coffee beans. What is the price per pound of the coffee beans?
Answer:
$10.5
Step-by-step explanation:
33.6/3.2(that is unit price formula total by one) which is 10.5
Hope this helps plz mark brainliest :D
Answer to the question, please
Answer:
12 hours
Step-by-step explanation:
2 1/2=5/2=2.5
3 1/2=7/2=3.5
2.5+3.5+3+4=12 hours
Steven charges the following for repairing washing machines:
£24 call-out charge + £14 for each half-hour he spends on the repair
if a repair costs a customer £66, how long did it take?
How long does it take for the ball to hit the ground (in seconds) rounded to the nearest hundredth
Answer:
I need some numbers to do this problem
Step-by-step explanation:
Answer:
Depends on the height of the ball and I don’t see that
Step-by-step explanation:
Pls factorise x²-7x+12
Step-by-step explanation: The first thing you're going to probably
try to do here is to factor out a greatest common factor.
The problem is, there is no factor that is in common
to all three of these terms so you may think it's unfactorable.
However, this trinomial is in a special form.
We have an x squared term, an x term, and a constant term.
When a trinomial is in this form, it can be
factored as the product of two binomials.
So start by setting up two sets of parentheses.
Inside each set, we will have the two terms that compose each binomial.
So we have ( )( ).
The first term is a factor of the x² term, x · x.
For the second term, we need factors of 12 that add to -7.
Since the middle term is negative, we use the negative factors of 12.
Notice that -4 and -3 add to -7 and multiply to be 12.
So our answer is (x - 4)(x - 3).
Rearrange to make x the subject: 3x+8= has x+6y
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
How far is the ship from the port, and what is its bearing?
Distance: 8.6 miles; Bearing: 20.2 degrees West of North.
Distance: 8.6 miles; Bearing: 20.2 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees West of North.
Answer:
C
Step-by-step explanation:
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
What is cosine law?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
This problem is shown in the image. The distance of ship from initial point is,
[tex]c=\sqrt{6.5^2+3.8^2-{2\times6.5\times3.8\times\cos (110.2)}}\\c\approx8.6\rm\; miles[/tex]
The measure of the angle x is,
[tex]\angle x=\cos^{-1}\dfrac{8.6^2+3.8^2-6.5^2}{2\times8.6\times3.8}\\\angle x=44.7^o[/tex]
Hence, the distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
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Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}
The solution of the equation by the quadratic formula are, {±2/3, ±i}
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ 9x⁴ + 5x² - 4 = 0
Now, Put x² = y in above equation, we get;
⇒ 9y² + 5y - 4 = 0
Bu using quadratic formula as;
⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9
⇒ y = - 5 ± √25 + 144 / 18
⇒ y = - 5 ± √169 / 18
⇒ y = - 5 ± 13 / 18
This gives two solution,
⇒ y = - 5 + 13 / 18
⇒ y = 8/18
⇒ y = 4/9
⇒ x² = 4/9
⇒ x = ±2/3
And, y = - 5 - 13 / 18
⇒ y = - 18 / 18
⇒ y = - 1
⇒ x² = - 1
⇒ x = ±i
Thus, The solution of the equation are {±2/3, ±i}.
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please help me out on this
Answer:
4 months and 13 stamps
Step-by-step explanation:
Use a char, add two stamps each month for Joy and subtract 3 for Ronald.
Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15?
Answer:
10
Step-by-step explanation:
each taco is 1.50$ 15$ divided by 1.50$ is 10
Answer:
He can buy 10 tacos with $15.
Step-by-step explanation:
You can do a cross multiplication process. Think in this way:
If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.
Can someone help me?
x will equal 30...set them equal to each other and solve from there
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = (x - 5)(5x + 2)
lesser x =
greater x =
Answer:
lesser x = -2/5
greater x = 5
Step-by-step explanation:
Answer:
-2/5 and 5
Step-by-step explanation:
i got khan
Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.
Answer:
56
Step-by-step explanation:
Given that:
Number of girls = 3
Number of boys = 4
Each student makes 8 paper airplanes.
To find:
The total number of airplanes = ?
Solution:
There can be two ways to find the total number of airplanes.
Method 1:
Keep on adding the number of airplanes for each student.
There are a total of 3+4 = 7 number of students.
First student makes = 8 airplanes
Second student makes = 8 airplanes
Third student makes = 8 airplanes
Fourth student makes = 8 airplanes
Fifth student makes = 8 airplanes
Sixth student makes = 8 airplanes
Seventh student makes = 8 airplanes
Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
Method 2:
Simply multiply number of airplanes each student makes with the number of students.
i.e. 8 [tex]\times[/tex] 7 = 56
Use the information given to enter an equation in standard form.
Slope is 3, and (2, 5) is on the line.
Can anyone help?
The question says to expand and simplify it but i dont know how.
Answer:
3x+14
Step-by-step explanation:
remove parenthses
6x+8-3x+6
3x+14
Answer:
3x+14
Step-by-step explanation:
2(3x+4)-3(x-2)
6x+8-3x+6
3x+14
Order the rational numbers from least to greatest. 4.41, 4.14, 4.1, 4 1/5, 17/4
Answer:
4.1, 4.14, 4 1/5, 17/4, 4.41
n 2+ 7n + 15 = 5 show work
Answer: n2+7n+15−5=5−5
n2+7n+10=0
Step 2: Factor left side of equation.
(n+2)(n+5)=0
Step 3: Set factors equal to 0.
n+2=0 or n+5=0
n=−2 or n=−5
Answer:
n=−2 or n=−5
Step-by-step explanation: hope that helps
3(2m-3)=5(m+1) What is the value of m
Answer:
14!
Step-by-step explanation:
3(2m-3)=5(m+1)
Step 1: 6m-9 = 5m + 5
Step 2 : Add 9 to -9 and 5
6m= 5m+14
Step 3: Subtract 5m from 6 and 14
Simplify!
m=14
which numbers is equivalent to 75%?
Answer:
in fraction form it would be 3/4
Step-by-step explanation:
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita?
|x – 42.80| = 12
|x + 42.80| = 12
|x – 12| = 42.80
|x + 12| = 42.80
Answer:
|x – 42.80| = 12
Step-by-step explanation:
x – 42.80 = -12
x=30.8
x – 42.80 = 12
x=54.8
|x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation that represents the amount of money James may have after he sees Rita is |x - 42.80| = 12.
This equation reflects the fact that James either borrowed $12 from Rita
so he would subtract $12 from his current amount, or Rita borrowed $12 from him, so he would add $12 to his current amount.
Therefore, the |x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
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