Answer: Yes
Step-by-step explanation:
Area = sxsxsxs
= 3ft x 2ft x 1 ft x 5 ft
= 30 ft
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
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
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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1c) What is 25% of 40?
8.5
25% of 40
=25/100×40
=0.25×40
=10 answer.
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
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 asap
is x= -3 what is the value of |x-4|-x^2
thank you
Answer:
16
check your math
|(-3)-4|=7
-3^2=-9
7-(-9)=16
welcome <3
If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.
JKLM is a trapezoid. Statements A and E are correct.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.
These are the actual statements:
(a) J is supplementary to K
(e) KL is parallel to JM
Hence, statements A and E are correct.
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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:
Please solve: (in a hurry)
will name the brainliest!!!
include steps!
Answer:
Step-by-step explanation:
2700 is a perfect cube. True/False?
Answer: False
Step-by-step explanation:
Answer:
It is false hope this will be
-5(3x+6)=-3(4x-2) Solve for x please! Show work to prove your answer.
Answer:
x = -12
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
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).
It took Jodi 4 hours to run 2/3 miles. How many miles will Jodi run if he runs for 2 hours?
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
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
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
Determine the value of X.
Answer:
25
Step-by-step explanation:
8x-20=180
8x=200
x=25
PLEASE HELP ME ANSWER NOW!!!! 15 POINTS
Answer:
x = 4
Step-by-step explanation:
6x + 4 = 12x - 20
x = 4
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.
The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
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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
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
Simplify the expression:
7p+6q-2p+q
Answer:
5p+7q
Step-by-step explanation:
Answer:
5p+7q
Step-by-step explanation:
You add common terms together.
(7p-2p)+(6q+q)
5p+7q
Hope I helped!
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 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..
Eric plots points showing equivalent ratios on the coordinate plane below.
What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.
Answer: The points form a straight line.
Step-by-step explanation:
Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)
Answer:
[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]
Step-by-step explanation:
What is the square root for this numberZ
You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?
Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m