Answer:
Question 18
=$3.33
Step-by-step explanation:
i)
26/100 x 4.5
=1.17
(the discount price)
ii)
$4.5-$1.17
=$3.33
Answer:
QUESTION 18
The original price is $4.50
The discount is 26%
They are asking for the sale price which the price after the discount.
So,
The original price means 100% of the cost, like there is no discount at all.
But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)
The new price of the item has to be 74% of the original price.
74% of $4.50 is the same as saying 26% discount.
But what is the number?
To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.
0.74 x 4.50 = 3.33
In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33
Andre and Elena knew that after 28 days they would have 2²⁸ coins, but they wanted to find out how many coins that actually is. Andre wrote: 2 28 = 56. Elena said, "No, exponents mean repeated multiplication. It should be 28 28, which works out to be 784." Do you agree with either of them? Explain your reasoning.
Answer:
I agree with none of them
Step-by-step explanation:
Given
[tex]Expression= 2^{28}[/tex]
[tex]Andre: 2 * 28 = 56[/tex]
[tex]Elena: 28 * 28 = 756[/tex]
Required
Who is correct?
[tex]Expression= 2^{28}[/tex]
When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places
i.e.
[tex]Expression= 2^{28}[/tex]
[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places
Andre's interpretation of the expression is incorrect as:
[tex]2^{28} \neq 56[/tex]
Also, Elena's expression is incorrect.
This is so, because
[tex]2^28 \neq 28*28[/tex]
Hence, both of them are incorrect and I agree with none of them
Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3
First, we must determine b using slope-intercept form*, the given point, and the given slope.
[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]
Second, we need to set up the equation of the line in slope-intercept form.
[tex]y = -\frac{1}{3}x - 1[/tex]
Third, we convert the above equation to STANDARD FORM**.
[tex]y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1[/tex]
We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]
*Slope-intercept form: y = mx + b
**Standard form: ax + by = c
Simplify 10cm:30cm
Simplify 2cm:1m
Step-by-step explanation:
Simplest form=10/30=1/3
=1cm:3cm
Simplest form=2cm:1m
1m=100cm
2:100
2/100=1/50
1cm:50cm
Answer:
Simplest form=10/30=1/3
=1cm:3cm
Step-by-step explanation:
20 POINTS!!
( Also explain the reasoning you used to find the value of P)
ILL MARK BRAINLIEST!!
9514 1404 393
Answer:
P = 3x +32
Step-by-step explanation:
If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...
(x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x
where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.
As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...
A = LW = P(2x)
We want this to be the same as the existing area, so ...
2Px = 6x^2 +64x
P = 3x +32 . . . . . divide by 2x
Complete the statements about circle Z. A central angle, such as angle ____ of circle Z, is an
Answer:
A central angle, such as angle of circle Z, is an angle whose vertex is and whose sides are radii of the circle.
Answer:
do you have a pic of the circle
Step-by-step explanation:
I need help with this please. I already did this problem but I think I made a mistake can you please look it over?
Answer:
it is corect
Step-by-step explanation:
how would you solve p-11=-14
Answer:
Step-by-step explanation:
all you would need to do is add 11 to both sides, and then you would get your answer.
What is the solution to this system of linear equations?
y − 4x = 7
2y + 4x = 2
A. (3, 1)
B. (1, 3)
C. (3, −1)
D. (−1, 3)
I WILL MARK AS BRAINLIEST IF CORRECT!
Answer:
[tex]x = - 1[/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
[tex]y - 4x = 7(eqn \: 1)[/tex]
[tex]2y + 4x = 2(eqn \: 2)[/tex]
[tex]solving \: by \: eliminating \: one \: variable[/tex]
[tex](y - 4x = 7)[/tex]
[tex] + (2y + 4x = 2)[/tex]
[tex]3y = 9[/tex]
[tex]y = 3[/tex]
[tex]y - 4x = 7[/tex]
[tex]3 - 4x = 7[/tex]
[tex] - 4x = 7 - 3[/tex]
[tex] \frac{ - 4x}{ - 4} = \frac{4}{ - 4} [/tex]
[tex]x = - 1[/tex]
The solution to this system of linear equations will be (–1, 3). Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equations are given below.
y − 4x = 7 ...1
2y + 4x = 2 ...2
Add both equations, then we have
3y = 9
y = 3
Put y = 3 in equation 1, then we have
3 − 4x = 7
4x = –4
x = –1
The solution to this system of linear equations will be (–1, 3).
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
what difficulty did you encounter in determining polynomials?
Answer:
I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.
The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.
help me please.....
Answer: I believe its Option 2
Step-by-step explanation: Sory if im wrong
a nursery owner buys 9 panes of glass to fix some damage to his greenhouse the 9 panes cost 19.35 unfortunately he breaks 4 more panes while repairing the garage. what is the cost of another 4 panes?
The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason
Given:
[tex]F=\dfrac{9}{5}C+32[/tex]
where, F is degree Fahrenheit and C is degree Celsius.
To find:
Whether there is a proportional relationship between C and F.
Solution:
We know that, proportional relations is defined as
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).
If there is a proportional relationship between C and F, then the equation must be true for (0,0).
Substituting F=0 and C=0 in the given equation, we get
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is false because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
Help please :((((((((((((((
Step-by-step explanation:
connect the points p and s
and comnect the points q and t
take triangle PQS and triangle TSQ
SQ similar to SQ
PQ similar to QS
QS similar to ST
therefore triangle PQS similar to triangle TSQ
Therefore , PQ/ QS = ST/ QS
PQ=ST
On a number line ,4.1 would be located. choose all answers that make a true statement.
A. To the right of 4.5
B. between 5 and 6
C. to the left of 4.19
D. To the left of 4.4
Help me plz
Answer:
D
Step-by-step explanation:
Calculate each of the followi
(a) 2.31x6.4
Answer:
14.784
Step-by-step explanation:
Simplify the expression:
–3(9 − x) =
Answer:
Expand [tex]-3(9-x): -27 + 3x[/tex]
Step-by-step explanation:
[tex]-3(9-x)[/tex]
Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]
[tex]a = -3, b=9, c=x[/tex]
[tex]=-3*9-(-3)x[/tex]
Apply minus - plus rules:
[tex]-(-a)=a[/tex]
[tex]= -3*9+3x[/tex]
Multiply the numbers: [tex]3 * 9 = 27[/tex]
[tex]=-27+3x[/tex]
Hope this helps! If so, may I get Brainliest and a Thanks?
Thank you, have a good one! =)
HELP!!!!!!!!!!!!!! I ONLY HAVE 5 MIN TO TURN THIS IN!!!!
Answer:
I think A but I might be wrong
I need to know the value of X and how to get the value of X.
Answer:
2
Step-by-step explanation:
take three off.
x+x=4
2x=4
x=2.
Hope this helps :D
Question 2 (1 point)
In a football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals. The team scores six times. Write
and solve a system of equations to find the number of touchdowns and field goals that the home team scored.
Answer:
(2,4)
Step-by-step explanation:
Equation 1:
x+y=6(for the 6 times they scored)
x=-y+6
Equation 2:
7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)
7(-y+6)+3y=26(replace x with -y+6)
7y+42+3y=26(distrubite property)
-4y+42=26
-4y= -16
y= 4
Now that we know that y is equal to 4:
x+4=6
x=2
The number of touchdowns and field goals that the home team scored are 2 and 4 respectively
Let the number of points touch down be xLet the number of -point field goals be yIf the team scored six-time, this is expressed as;
x + y = 6
y = 6 - x ........................ 1
If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;
7x + 3y = 26 ...................2
Substitute equation 1 into 2 to have:
7x + 3(6-x) = 26
7x + 18 - 3x = 26
4x + 18 = 26
4x = 26 - 18
4x = 8
x = 2
Recall that y = 6 - x
y = 6 - 2
y = 4
Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively
Learn more on simultaneous equations here: https://brainly.com/question/6597041
Solve 3.8 = 2x - 11.2.
X=__
Answer:
x= 15/2 im pretty sure
Step-by-step explanation:
We want to solve the given linear equation, we will find that the solution is x = -3.7
Solving linear equations:
Here we have the equation:
3.8 = 2*x - 11.2
We want to solve this for x, so we can start by subtracting 11.2 in both sides to get:
3.8 - 11.2 = 2*x
-7.4 = 2*x
Now we can divide both sides by 2:
-7.4/2 = x = -3.7
So the solution is x = -3.7
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
Whoever answers correctly earns brainliest.
Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-
half inch on the map represents approximately 77.5 kilometers. If the actual distance from Austin to El
Paso is approximately 930 kilometers, what is the approximate distance
between Austin and El Paso on Savannah’s map?
Answer:
6 inches
Step-by-step explanation:
First, take the 930 kilometers and divide it by 77.5 kilometers. You will get 12. This means the distance between Austin and El Paso is 12 one half inches. That is equivalent to 6 inches.
What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Geometry 9th grade will give brainliest
Step-by-step explanation:
7.90.
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.
Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
What is the formula for the area of this triangle?
Answer:
A = h b/2
Step-by-step explanation:
Answer:
J =6,L=5,K=3
Step-by-step explanation:
this is kinda hard to do bur I'll try to do it.
What must be true in order for two triangles to be similar?
Answer:
All their angles must be equal and of the same ratio.
Step-by-step explanation:
Answer:
Equal Angles/Equal sides
Step-by-step explanation:
umm i dont get none of this to be honest
Solve the system using the elimination method. - Which one should I do first
3x-4y+z=-5
6x-4y+z=1
x+y+z=6
Answer:
first equation and second equation
Step-by-step explanation:
it is more easier because both of them have the same y
Answer:
Use equation (1) and equation(2) and eliminate 4y+z
Step-by-step explanation:
3x-4y+z=-5 ...(1)
6x-4y+z=1 ...(2)
x+y+z=6 ...(3)
First, you find the equation that you can use the elimination method on;
there are multiples of them.
However, I would use equation (1) and equation(2) and eliminate 4y+z :
3x-4y+z=-5
- 6x-4y+z=1
-3x=-6
x=2
As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.
From here is just my advice:
There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)
GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!
Increase £120 by 25%
the pyramid shown has a rectangular base and faces that are isosceles triangles find the total surface area to the nearest tenth
Answer:
I think is C.
Step-by-step explanation:
I'm so sorry if wrong!