This formula is used to calculate the weekly pay of a letting agent. Weekly pay = basic pay + number of houses rented x bonus The basic pay is £400 and a bonus of £75 is paid for each house rented. Mrs Lewis rents out 5 houses in one week. Calculate her pay.
Answer:
£775
Step-by-step explanation:
From the question, it was given that:
Weekly pay = basic pay + number of houses rented x bonus
This expression can be used to determine the amount of money being paid to the agent every week.
When basic pay = £400, bonus = £75, and the number of house rented = 5.
Then,
Weekly pay = 400 + 5(75)
= 400 + 375
= 775
Weekly pay = £775
The amount of money paid to Mrs Lewis every week is £775.
Which is the value of the expression when x=-2 and y =-3
Answer:
-720
Step-by-step explanation:
10x^3y^2 If x = -2 and y = -3
10 * (-2^3) * (-3^2)
10 * (-8) * (9) = -720
Answer:
A.) -720
Step-by-step explanation:
10x^3y^2
10 times x^3 times y^2
x = -2
y = -3
10 times (-2)^3 times (-3)^2
-2^3 = -2 x -2 x -2 = -8
-3^2 = -3 x -3 = 9
-8 x 9 = -72
10 x -72 = -720
On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?
Answer:
plz make it brainlisted
Step-by-step explanation:
Since the total is 300 and the ratio is 4:1,
Let us suppose the number of adults be 4x and children be x;
According to the question,
4x+x=300
or,5x=300
or,x=(300/5)
or,x=60
So, 60 students attended the show.
Answer:
75
Step-by-step explanation:
4:1 children meaning 1/4 of the population of 300 is 75
If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?
Answer:
27
Step-by-step explanation:
If [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex], then the value of [tex]f(8)[/tex] is [tex]f(8) = \frac{-93}{4480}[/tex].
What is Quadratic Equation?A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex] are the real numbers.
We have
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
According to Quadratic Equation,
[tex]f(x)=ax^{2} +bx+c[/tex]
And we have,
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
So,
[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
i.e. putting [tex]x=8[/tex],
[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]
[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]
Solving the above part,
[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]
[tex]f(8) = \frac{-93}{4480}[/tex]
Hence, we can say that value of [tex]f(8) = \frac{-93}{4480}[/tex] .
To know more about Quadratic Equation click here
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On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.
Answer:
Step-by-step explanation:
horizontal = x-axis
vertical = y-axis
Hope this helps!
Answer:
Horizontal: X-axis; Vertical: Y-axis
Step-by-step explanation:
What is the answer for (2b + 8)5 ?
Answer:
Expanded, the answer would be 10b + 40
Step-by-step explanation:
Just multiply 8 to 2b and 8
Question 4 (10 points)
Which sentence is written in third-person point of view? (10 points)
a
Once a small crowd of protesters, we were now an angry mob.
b
Our small crowd of protesters was now an angry mob.
c
The small crowd of protesters had turned into an angry mob.
d
Your small crowd of protesters has now become an angry mob.
Answer:
C, "The small crowd of protesters had turned into an angry mob".
Step-by-step explanation:
A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".
Answer:
c. The small crowd of protesters had turned into an angry mob.
Point of view is a way the voice sounds.
1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)
2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)
3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.
1st: My friends and I can't wait until Christmas.
2nd: You and your friends can't wait until Christmas.
3rd: Macy and her friends can't wait until Christmas.
Which of the following statements about rational numbers is false?
A. Every natural is a whole number, integer, and a rational number.
B. Every integer is a rational number.
C. A natural number is also a whole number.
D. Every rational number is also an integer
Answer:
D. Every rational number is also an integer
Step-by-step explanation:
Some rational numbers are integers, but not all of them
FG is the geometric mean of which two segments
Answer:
EG and GH
Step-by-step explanation:
FG is the geometric mean of EG and GH segments.
FG is the geometric mean of EG and GH by using the Right triangle altitude theorem.
Important information:
The given figure of a triangle EFH.Right triangle altitude theorem:According to the Right triangle altitude theorem, if an altitude is drawn on the hypotenuse of a right triangle, then the altitude of a right triangle is the geometric mean of the two segments of the hypotenuse.
From the given figure it is clear that,
Triangle EFH is a right triangle because angle F is a right angle.FG is the altitude on the hypotenuse.Two segments of the hypotenuse are EG and GH.Using the Right triangle altitude theorem, we get FG is the geometric mean of EG and GH.
Find out more about 'Right triangle altitude theorem' here
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what 15 yards in feet
Answer:
45
Step-by-step explanation:
1 yard= 3 feet
find the area of Rhombus if its diagonals measure 18 cm and 21 cm
Answer:
189 cm²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × product of diagonals
= [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²
Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
We can define the absolute value of any number:
IxI as:
"The distance between the point x and the origin in the coordinate axis"
If we are in one dimension, x is just a value, and the coordinate axis will be a number line.
Then we could rewrite this as:
"is the distance between the value x and the 0 in the number line"
So:
IxI = x if x > 0
IxI = -x if x < 0.
Then:
I -5 I
Is the distance between the number -5, and the 0 in the number line, and this is:
I - 5 I = 5.
The correct option is:
"It is the distance that -5 is form 0 on the number line"
Answer:
Answer: It is the distance that -5 is form 0 on the number line
Step-by-step explanation:
What is correct?
Screenshot below
I will give out 11 points
thank yaal for answerin ;)
Answer:
B is the answer
Step-by-step explanation:
Rigid motion they don't change shape or size just move around.
help please? i am a little bit confused
d: 1.25
c: .035
b: .70
a: .23
these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.
You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.
Answer:
13.15
Step-by-step explanation:
What are the coordinates of point A?
Answer:
the left side should be -5 the other side should be 7
Answer:
(7, -5)
Step-by-step explanation:
e - i = 5
e + 3i = 9
e value =
i value =
What is the answer
Answer:
e value = 6
i value = 1
Step-by-step explanation:
The system of equation are;
e - i = 5...(1)
e + 3·i = 9...(2)
Making e the subject of equations (1) and substituting the value of e equation (2) gives;
From equation (1), e - i = 5, we have, e = 5 + i
Substituting the value of e in equation (2), e + 3·i = 9 gives;
e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9
4·i = 9 - 5 = 4
i = 4/4 = 1
i = 1
From e = 5 + i, we have;
e = 5 + i = 5 + 1 = 6
e = 6
Therefore;
e value = 6
i value = 1
Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
Answer:
answer will be 67
Step-by-step explanation:
f(x) = 61 - x
x = -6
hence we substitute the value of x in f(x)
f(-6) = 61 - (-6)
= 61 + 6
= 67
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
f(x) = 6(1 - x)
The value of the function at x = -6 will be given as,
f(-6) = 6[1 - (-6)]
Simplify the equation, then we have
f(-6) = 6[1 - (-6)]
f(-6) = 6(1 + 6)
f(-6) = 6 × 7
f(-6) = 42
The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.
More about the function link is given below.
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The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answer:
An Echo
Step-by-step explanation:
What is the value of x?
Enter your answer in the box
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
What is the slope of 7,-2 and -3,3
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1
3-(-2)/ -3-7
5/-10
= -1/2
7k = 3k - 36
It’s gotta be a step by step equation
A gift shop wants to make gift baskets for its regular customers. There are 24 bottles
of shampoo, 36 tubes of hand lotion, and 48 bars of soap. The same number of each
item should be in each basket. What is the greatest number of baskets that can be
made?
Answer:
Find the biggest # that can divide all 3 #'s, and that's your answer.
Step-by-step explanation:
24 is divisible by:
1, 2, 3, 4, 6, 8, 12, 24
36 is divisible by:
1, 2, 3, 4, 6, 9, 12, 18, 36
48 is divisible by:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.
The mural of your school mascot is $4$ feet by $12$ feet and is to be completely framed using a single row of square tiles each $2$ inches on an edge. If the tiles are $\$0.10$ each, find the cost, in dollars, of the tiles needed to frame the mural.
Answer:
$19.2
Step-by-step explanation:
The school mascot is rectangular in nature.
Perimeter P = 2(L+W)
L is the length = 4feet
W is the width = 12 feet
Perimeter = 2(4+12)
Perimeter = 2(16)
Perimeter = 32 feet
Convert to inches
12in = 1feet
x = 32 feet
Cross multiply
x = 12 * 32
x = 384in
Hence the perimeter of the school mascot is 384in
If it is to be completely framed using a single row of square tiles each 2inches on an edge
2 inches = 1 tiles
384inches = y tiles
Cross multiply
2y = 384
y = 384/2
y = 192 tiles
The number of tiles needed is 192 tiles
Get the cost of 192tiles
If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2
Hence the cost of the tiles needed is $19.2
Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x
Step-by-step explanation:
[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]
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Answer:your answer is c
Step-by-step explanation:if you want to be friends we can just friend me
Find the total cost of buying a product that cost $12 if it is 25% off. DO NOT PUT A $. Only numbers.
Answer:
the answer will be 9 dollars
Explanation:
The discount of 25% off means you save 0.25*12 = 3 dollars, meaning the final cost is 12-3 = 9 dollars.
Or you can think of it like this: if you save 25%, then you still pay the remaining 75%. So 0.75*12 = 9 dollars is the total cost.
what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters
Answer:
We conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmStep-by-step explanation:
Given
The length of one of the side or edge of a regular octahedron = a = 4 cm
To determine
The volume of a regular octahedron = V
Using the formula to determine the volume of a regular octahedron
[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]
substituting a = 4 in the volume equation
[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]
[tex]V=\frac{64\sqrt{2}}{3}[/tex] ∵ 4³ = 64
[tex]\:\:V\:\approx \:30.17[/tex] cm
Therefore, we conclude that the volume of a regular octahedron will be:
[tex]\:\:V\:\approx \:30.17[/tex] cmlet f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5