Answer:
The cost of the new item is $72
Step-by-step explanation:
You can solve this by first putting the percent into decimal form, this is done by taking 25 and dividing by 100. Giving you 0.25
Now multiply 0.25 by the original cost of the item which is 96.
If you think about 0.25 as 1/4, because 25 is 1/4 of 100.
You will get 24, this is how much money is taken off of the original price.
So some easy subtraction: 96-24=72.
Now you have the new cost of the item
A student bought some pens at 8 each and some pencils at 31.50 each. If the total
number of pens and pencils purchased is 16 and their total cost is 50, how many pens
did he buy?
be
as his
Step-by-step explanation:
Letthenumberofpensbexand
numberofpencilsbey
then
x+y=16ory=16−x
andtheirvalue
8x+1.5y=50
8x+(
2
3
)(16−x)=50
8x+24−(
2
3
)x=50
8x−(
2
3
)x=50−24
(
2
13x
)=26∴x=4
theny=16−x=16−4=12
which is equivalent to √3/√8 when denominator is "rationalized"?
Step-by-step explanation:
[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]
Used:[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
120
Step-by-step explanation:
a^2 + b^2 = c^2
48^2 + x^2 = 52^2
2304 + x^2 = 2704
x^2 = 2704-2304
x^2 = 400
x = 20
52 + 48 + 20 =
120
What is the slope of the line?
Answer:
The slope is -3
Step-by-step explanation:
Answer:
slope is -3
Step-by-step explanation:
[tex]y \times 3 = 27 \times 10[/tex]
Here is a list of ages (years) of children in a room:
8, 8, 5, 1, 2, 5, 4
State the median.
Answer:
5
Step-by-step explanation:
The median is the middle number when they are put in order from smallest to largest
1,2,4,5,5,8,8
There are 7 number so the middle is between 4th number
1,2,4 ,5 ,5,8,8
The median is 5
[tex]\sf Answer: [/tex]
[tex]\sf 5 [/tex]
[tex]\sf Step-by-step~explanation: [/tex]
[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]
[tex]\sf 1 2 4 5 5 8 8 [/tex]
[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex] [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex] [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex] [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]
Which statements are true regarding the diagram? Check all that apply.
1. ΔXYZ ≅ ΔLMN
2. ∠Y ≅ ∠M
3. ∠X ≅ ∠L
4. ∠Z ≅ ∠L
5. YZ ≅ ML
6. XZ ≅ LN
Answer:
1, 2, 3, 6
Step-by-step explanation:
I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.
Answer:
Hi how are you doing today Jasmine
Solve the equation below using a graphing
calculator/desmos. (3 points)
12. e* - In 2x = 3.7
I
Answer:
x = 0.05
x = 1.57
Step-by-step explanation:
The given equation is:
[tex]e^x-\ln 2x = 3.7[/tex]
Moving all terms to the left side:
[tex]e^x-\ln 2x - 3.7=0[/tex]
Now we define a function:
[tex]y=f(x)=e^x-\ln 2x - 3.7[/tex]
The solutions of the equation are the values of x such that y=0.
Since the function cannot be solved by algebraic methods, we use a graphing tool.
Those points where the graph crosses the x-axis are solutions of the equation.
Please refer to the graph in the figure below.
We can clearly identify there are two solutions at
x = 0.05
x = 1.57
What is the equation of this line? Carlos started at 1 meter and he rode for 5 meters for 2 seconds. y = mx + b
Find the equation of the line passing
through the points (2, 4) and (3, 2).
y = [? ]X + [
Eter
Help Please! Solve For Y.
Answer:
i think 7
Step-by-step explanation:
Joshua’s soccer ball has a radius of 4.6 inches what is the volume of his soccer ball?
Answer:
407.7
Step-by-step explanation:
volume = (4/3) * π * r³
(4/3)*PI*4.6^3=407.7
PLEASE MARK BRAINLIEST IF THIS HELPED. THANK YOU
pls help this is due soon
Answer:
1/2^4
Step-by-step explanation:
WILL GIVE BRAINLIEST FOR RIGHT ANSWER
What is the solution to this system of equations?
Answer:
A) (-2, 4)
Step-by-step explanation:
I need help ASAP !!!!!
Answer:
you will get the football
Step-by-step explanation:
Which expression shows 24 + 36 as a product of the greatest common factor (GCF) and a sum? *
A. 3(8+12)
B. 4(6+9)
C. 12(2+3)
D. 6(4+6
Answer:
D
Step-by-step explanation:
The product of the greatest common factor and a sum is 12 (2 + 3).
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
24 + 36
We have the following cases:
2 (12 + 18)
3 (8 + 12)
4 (6 + 9)
6 (4 + 6)
12 (2 + 3)
Now,
The greatest common factor.
12 x 2 = 24
12 x 3 = 36
Thus,
12(2 + 3) is the product of the greatest common factor and a sum of (2 + 3).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
PLEASE HELP :)))
Suppose 3 rooms cost $596 and 5 rooms cost $860. What is the total cost for the number of rooms
Answer: 596 + 860 = 1456
factor -1/6 out of -1/3x + 5/6y
Answer:
[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]
Step-by-step explanation:
On Sunday it was 89°F. On Monday it was 15° colder. What temperature was it on Monday?
°
I need help I dont understand
Answer:
74F
Step-by-step explanation:
If it is 89F on Monday and it went DOWN 15 degrees, you subtract. 89-15= 74. The temp on Monday is 74 degrees F
PLZ HELP!!!
Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40
A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)
justin wants to buy shorts that cost $35 and some shirts that are on sale for $22 each. He has $95 to spend. Write an inequality to find the number of shirts he can buy
If 3x+2=7x then what is x
Answer:
take the x together
then
2=7x-3x
2=4x
2/4=x
2=x
2 is your ans
I hope it helps mate
I will always help you understanding your assingments
have a great day
#Captainpower:)
rewrite as a simplified fraction what would it be
Answer:
37/45
Step-by-step explanation:
YEPPP THAT'S ITT DJJSJZJZK
Answer: The answer is 44/50 and the percentage is 88
Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!
Solve. Justify your responses.
Given:
AB║CD║EF
Prove: m∠1+m∠2+m∠3+m∠4=360°
Answer/Step-by-step explanation:
[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given
[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary
[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary
Therefore:
[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]
Given w= √ 2(cos(pi/4)+isin(pi/4)) and z=2(cos (pi/2)+i sin (pi/2)) what is w-z expressed in polar form?
Answer:
It is B.
Step-by-step explanation:
Edge2021
[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]
What is complex number?"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "
What is polar form of complex number?"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"
For given question,
We have been given two complex numbers in polar form.
[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]
We simplify above complex numbers.
[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]
And the second complex number is,
[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]
Now if we find the value of w - z
⇒ w - z = (1 + i) - (0 + 2i)
⇒ w - z = 1 - i
Now we find the polar form of complex number.
[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]
And the value of [tex]\theta[/tex] would be,
[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]
So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]
Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]
Learn more about the complex numbers here:
https://brainly.com/question/17162901
#SPJ3
Is y=2x+3 proportional
Answer:
no
Step-by-step explanation:
I calculated
No because something proportional can't have a y-intercept, the 3 is the y intercept so your statement is not proportional.
Given: ABCD is a rhombus. Prove: △AEB is a right triangle.
Answer:
Step-by-step explanation:
∵ ABCD is a rhombus
∴ AC is ⊥ on BD
∴ ΔAEB is right angled triangle
60 over 100 as a decimal
Answer:
0.6
Explanation: 60 over 100 would be 60/100, so when converting this into a decimal, the 60 would be in the hundreths place. Therefore, the decimal would be 0.6.
Hope this Helps!
Am not sure what this answer is
Answer:
100 pieces
Step-by-step explanation:
11/220 = 5/x
1100=11x
x=100
Write the value of 3 in the following number: 998.736I
Answer:
Hundreths 3 is in the hundreths
Step-by-step explanation: