A shop is giving 20% discount in a sale. A shirt in the shop normally costs $60. How much does it cost in the sale?
Answers
be (100 -20) % = 80 %
So for a $60 shirt, amount = 80% of 60
= (80/100) x 60
= (8/10) x 60
= 48.
Cost in sale = $48.
Cheers.
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Statements
Reasons
1. MZQVR = 49
1. given
2. MZUVT = 3x + 4
2. given
S
R
3. LQVR and ZUVT are
vertical angles
3. definition of vertical
angles
T
4. LUVT , ZQVR
4.
V
(3x + 4)º
5. m_UVT = m2QVR
5. definition of congruence
U
6. +
6. substitution property
Complete the steps of the proof
7. 3x = 45
7. subtraction property
8. x = 15
8. division property
<
3x + 4 = 15
3x + 4 = 49
X measure of angle QVR = 49 degrees
✓ Done
measure of angle UVT = (3x + 4) degrees
7 of a
Answers
The proof of the question is explained in the solution.
What are vertical angles?
Vertical angles are the angles that are formed when two lines intersect each other at a point.
Given that a figure having m∠QVR = 49°, we need to prove that x = 15,
We know that,
Vertically opposite angles are equal.
From the figure we can see a number of line segments
m∠QVR = 49°
From the given figure we get,
∠QVR and ∠UVT are vertically opposite angles.
Therefore,
m∠QVR = m∠UVT
49 = 3x + 4
3x = 49 - 4
3x = 45
x = 45/3 = 15
Hence, proved.
Learn more about vertical angles click;
#SPJ5
Answer:
4. vertical angles theorem
6. 3x+4=49
Step-by-step explanation:
Answers
Do this by moving the decimal two places to the left.
0.25 is the decimal.
Now divide the whole number by the decimal.
60/0.25=240
60 is 25% of 240
To solve the problem we first have to turn the percent into a decimal. To convert to decimal divide the percent by 100.
0.25 is the decimal.
Now divide the whole number by the decimal.
60÷ 0.25 = 240
60 is 25 percent of 240
Answers
Answer: $16
Step-by-step explanation:
Given: Marie has renters insurance that she must pay twice a year.
The amount of each payment = $96
So, the total payment in the year =
Since, in one year = 12 months
Therefore, the amount of money she should set aside each month to cover her renters insurance=
Hence, She should set aside $16 each month to cover her renters insurance.
$192/(12 months) = $16 per month (she should set aside)
x = –2
x = 2
x = 3
Answers
Answer:
x = 2
Step-by-step explanation:
The vertex form of the parabola is given by
Comparing this equation with vertex form of a parabola , where (h,k) is the vertex
h = 2
k = 3
Hence, vertex is (2,3)
Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.
Hence, axis of symmetry of the parabola is given by
x = h
x = 2
Third option is correct.
Answer x=2 (x=h in vertex form y=a(x-h)²+k )
Answers
The history of mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been fundamental to advances in science, engineering, and philosophy.
During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized.
The use of decimal fractions and decimal arithmetic is usually attributed to the Flemish mathematician Simon Stevin the late 16th Century, although the decimal point notation was not popularized until early in the 17th Century.
It has evolved from simple counting,measurement and calculation, and the systematic study of the shapes and motions of physical objects, through the application of abstraction, imagination and logic, to the broad,complex and often abstract discipline we know today.
Mathematical symbols were not created until the 16th Century. The earliest is the plus sign, +, in the 14th and the minus, -, is the 15th.
For more information about History of Mathematics click the link the below.
The correct answer is:
They had no numeral for zero in their number system.
Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.
B. 4y^2+2=(4y+y)+2
C. 4y^2+2=4(y+y)+2
D.4y^2+2= 4(y×y)+2
Answers
The Answer is: B
Because if I plugged all "y" with a the same number in the same postion they would equal the same.
For EX: 4*3+2+2=(4*3+2)+2
16 = 16
Hope this helps!