Answer:
Step-by-step explanation:
a.
£100
1:3
1+3=4
1/4×£100
=£25
3/4×£100
=£75
b.
£80
3:5
3+5=8
3/8×£80
=£30
5/8×£80
=£50
C.
£250
2:3:5
2+3+5=10
2/10×£250
=£50
3/10×£250
=£75
5/10×£250
=£125
(x³-4x²+7x-5)+(13x-15x²+x³)
Answer:
2x^3−19x^2+20x−5
Step-by-step explanation:
combine the x's and numbers, when fully simplified:
2x^3−19x^2+20x−5
Answer:
[tex]\sf 2x^3-19x^2+20x-5[/tex]Step-by-step explanation:
[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]
[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]
[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+20x-5[/tex]
Which expressions are equivalent to 5x-15? Select three options
B,C,E
Answer:
5(x-3)
Step-by-step explanation:
5(x - 3)
= 5*x - 5*3
= 5x - 15
Answer:
yup this is correct b,c,e
Step-by-step explanation:
Which algebraic expression is a polynomial with a degree of 5?
The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.
Answer:
Candy=x=2.8 bags
Cookies=3+2.8=5.8 bags
Step-by-step explanation:
Price
Bag of candy=$6.00
Bag of cookies=$4
Total sales=$40
Quantity
Let cookies=y=3+x
Let candy=x
There are 3 more bag of cookies than candy sold
Total sales=price*quantity of x + price*quantity of y
40=$4*(3+x) + 6*x
40=12+4x+6x
40=12+10x
40-12=10x
28=10x
X=28/10
x=2.8 bags
Can someone please help
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.
log x^3 y^4
Answer:
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Step-by-step explanation:
Given function log x³ y⁴
step(i):-
Applying logarithmic formula
log ( a b ) = log (a) +log (b)
log x³ y⁴ = log ( x³ ) + log( y⁴)
step(ii):-
Applying logarithmic formula
log (x ⁿ) = n log x
log x³ y⁴ = log ( x³ ) + log( y⁴)
log x³ y⁴ = 3 log ( x ) + 4 log( y)
final answer:-
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Which inequality is graphed below?
y<1/4x-1
y>1/4x-1
y<=1/4x-1
y>=1/4x-1
The point-slope form of the equation of the line that passes through points 8,4 and 0,2 is y-4=1/4 (x-8) what is the slope intercept form of the equation for this line
Answer:
Step-by-step explanation:
y - 4 = 1/4(x - 8)
y -4 = 1/4x - 2
y = 1/4x + 2
A jar contains 5 red, 4 blue, and 3 yellow marbles. What is the probability of pulling a red marble, then pulling a blue marble, without
replacement? Calculate to the nearest tenth.
O 15.2 %
O 13.9%
14%
O 17.1%
Answer:
15.2%
Step-by-step explanation:
The total number of marbles in the jar is:
5 + 4 + 3 = 12 marbles
The jar contains 5 red, 4 blue, and 3 yellow marbles.
The probability of pulling a red marble is 5/12
There are now 11 marbles in the jar.
The probability of pulling a blue marble is 4/11
Therefore, the probability of pulling a red marble, then, pulling a blue marble, without replacement is:
5/12 * 4/11 = 5/33
Converting to percentage:
5/33 * 100 = 15.2%
Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
A. It is a function of x but not a relation.
B. It is a relation but not a function of x.
C. It is both a function of x and a relation.
D. It is neither a function of x nor a relation.
Answer:
B. It is a relation but not a function of x.
Step-by-step explanation:
I just took the quiz on edge
Answer:
B. It is a relation but not a function of x
Step-by-step explanation:
When adding to integers with different signs, how do you find the sign?
Answer:
the largest number would be the sign that that number has
Step-by-step explanation:
Can someone help me with this ASAP please and thank you
Answer:
C
Step-by-step explanation:
Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.
Answer:
C. I and IV only
Step-by-step explanation:
Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.
I.
8^2 + 15^2 = 64 + 225 = 289
17^2 = 289
289 = 289
Right Triangle
II.
4^2 + 5^2 = 16 + 25 = 41
6^2 = 36
41 is not equal to 36
Not a Right Triangle
III.
2^2 + 2^2 = 4 + 4 = 8
3^2 = 9
8 is not equal to 9
Not a Right Triangle
IV.
9^2 + 12^2 = 81 + 144 = 225
15^2 = 225
225 = 225
Right Triangle
Answer: C. I and IV only
What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?
Answer:
Look at the attachment
could someone please help me figure this out...
Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”
====================================================
Work Shown:
The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.
(4x-5)+(x+40) = 180
5x+35 = 180
5x = 180-35
5x = 145
x = 145/5
x = 29
--------
As a check, if x = 29, then
4x-5 = 4*29-5 = 116-5 = 111
x+40 = 29+40 = 69
The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.
Answer:
x = 29
Step-by-step explanation:
The two angles with measures are a linear pair.
Angles in a linear pair are supplementary, so their measures add to 180 deg.
4x - 5 + x + 40 = 180
Combine like terms on left side.
5x + 35 = 180
Subtract 35 from both sides.
5x = 145
Divide both sides by 5.
x = 29
Pleaseee helppp
Which of the following uses a variable to represent a person, place, or thing
that is unknown?
A. a C-sharp on the piano
B. apartment 12A
C. a B+ grade
D. Mr. X
Answer:
D. Mr. X
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.
Help!!!
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answer: $13.47 per hour.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
Total earnings = 9.25 (h) + 8 (t/20)
Where h is the number of hours and t is the number of transformers.
Since he worked for 36 hours and assembled 380 transformers:
Total earnings = 9.25 (36) + 8 (380/20)
Total earnings = 333+152 = $485
Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):
485/36 = $13.47 per hour.
plz help with this question
Answer:
3cm ,4cm,5cm,and 8 centimetres
does anyone know the answer to this?
Answer: 1/3
Step-by-step explanation:
The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12
Thats a 4/12 chance which simplifies to 1/3
Answer:
1/3
Step-by-step explanation:
There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3
I REALLY NEED HELP PLEASE!!
Answer:
To me the triangles in #6 appear to be the same shape as the first triangle in #7(EFG) with different lengths on the sides. But not much else is the same. I mean they are all triangles but the shape of the second triangle in #7(XYZ) isn't the same as either of the triangles in #6.
I hope that made sense to you!
Hope this helped! Have a great day! :)
find the slope of the line that passses thruogh 1,5 and 10,9
The answer is 4/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Which could be the area of a face of the rectangular prism?
A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
[Not drawn to scale]
5 m2
6 m2
7 m2
9 m2
Answer:
6m squared
Step-by-step explanation:
cause one of the faces is 2 times 3 and that is 6m squared
Answer:
8 m^2, 12 m^2, or 6 m^2
Step-by-step explanation:
4x2=8 m^2
4x3=12 m^2
2x3=6 m^2
It depends which face you want the area of
HELP!!
Solve for x in the figure below!
Answer:
x= 9
Step-by-step explanation:
(3x + 4) and 50 are complementary angle
=> (3x + 4) + 50 = 90
-> 3x+4 = 40
-> 3x = 36
-> x= 9
Is (1, 4) a solution to the equation y = 7x?
Answer:
No
Step-by-step explanation:
y=7x
4=7(1)
4=7
This is not a true statement.
The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?
Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
10 = 2 + a help meeeee
Answer:
8 = a help mee
btw variables cant have spaces
:)
Answer:
A=8
It is 8 because when you subtract 2 from 10, you get 8.
If you want to check your answer, 8 + 2 is 10
Step-by-step explanation:
Hope this helps (pls brainliest)
Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =
Answer:
12.
Step-by-step explanation:
12^1/2 * 12^1/2
= 12^(1/2 + 1/2)
= 12^1
= 12.
What is the domain of f(x)=√(x)?
Answer:
f(x)=√x f ( x ) = x is x≥0 x ≥ 0
Step-by-step explanation:
The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.
27 30 33 36 identify d in this
Answer:
d = 3
Step-by-step explanation:
d represents the common difference between consecutive terms in the sequence, that is
d = 30 - 27 = 33 - 30 = 36 - 33 = 3
How do you simplify ( 5 x 10-4 ) ( 2.4 x 10-6 ) into a scientific notation?
Answer:
I do not know this is harddd
what is the value of x?
Answer:
x = 3 will be the answer.
Step-by-step explanation:
From right triangle ABC,
By applying Sine rule,
Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}[/tex] = [tex]\frac{BC}{6\sqrt{2}}[/tex]
BC = 6 units
Now from right triangle BCD,
By applying Cosine rule,
Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]
[tex]\frac{1}{2}=\frac{x}{6}[/tex]
x = [tex]\frac{6}{2}[/tex]
x = 3
