Answer:
520 cars
Step-by-step explanation:
Let the car sold in March be x, x+5%*x=546. (105/100)*x=546. x=520
If there was an increase of 5% on the number of cars sold in March, the number of cars sold in March was approximately 520.
To calculate the number of cars sold in March, we'll use the information that the number of cars sold in April was an increase of 5% compared to March.
Let's assume the number of cars sold in March is represented by 'x'.
According to the given information, the number of cars sold in April was 546, which is equal to 100% + 5% of the number of cars sold in March.
We can set up the equation:
x + 0.05x = 546
Combining like terms, we get:
1.05x = 546
To solve for 'x', we divide both sides of the equation by 1.05:
x = 546 / 1.05
Using a calculator, we find:
x ≈ 520.00
To learn more about increase/decrease click on,
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in a box of 80 glasses,3 are broken.workout percentage of broken glasses
Answer:
3.75%
Step-by-step explanation:
The percent that are broken is the number broken over the total * 100%
3/80 * 100%
.0375 * 100%
3.75%
Answer:
3.75% of the glass are broken
Step-by-step explanation:
3/80 × 100 = 3.75
I hope this helps.
Please help with this
Find the area of the shaded regions.
Answer:
The area of the shaded region is 7π square centimeters.
Step-by-step explanation:
Note that Circle B has a radius of 3 cm, and the two smaller circles, Circles O and C, both have a radius of 1 cm.
The area of a circle is given by:
[tex]\displaystyle A = \pi r^2[/tex]
Therefore, the area of Circle B, the entire circle, is:
[tex]\displaystyle \begin{aligned} A_B &= \pi (3)^2 \\ &= 9\pi \end{aligned}[/tex]
The area of Circle O is:
[tex]\displaystyle \begin{aligned} A_O &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]
And likewise, the area of Circle C is:
[tex]\displaystyle \begin{aligned} A_C &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]
The area of the shaded area is the area of the Circle B subtracted by the area of Circles O and C. Hence:
[tex]\displaystyle A_\text{shaded} =A_B - \left(A_ O + A_ C\right)[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} A_\text{shaded} &= (9\pi ) - (\pi + \pi) \\ &= 9\pi - 2\pi \\\ &= 7\pi \end{aligned}[/tex]
The area of the shaded region is 7π square centimeters.
I'm Timed
Which situation could this expression represent?
6 + 15 ÷ 3
Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?
Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?
Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Answer:
It's Micheal because he started with 6 and added 15 and he divided them into 3 piles
what is the equation of the line that passes through the point (3,-7) and has a undefined slope
Answers:-
y = mx+b where m is the slope and b is the y intercept.
The line must pass through (3,-7) therefore
-7 =3 m +b
Now solve for b
b=-7 - 3m
Now substitute b into the definition of a line
y = mx -7 -3m
y=m*(x-3) -7
Now check the solution to see if for every m it passes through (3,-7)
substituting x in to the solution.
y=m(3–3)-7
y=7 hence the solution is correct. for any m
Plz follow ma );
Answer:
y = 7
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept.
The line must pass through (3,-7) therefore ---> -7 =3 m +b
Now solve for b ---> b=-7 - 3m
Now substitute b into the definition of a line, y = mx -7 -3m ---> y=m*(x-3) -7
Now check the solution to see if for every m it passes through (3,-7)
Substitute x in to the solution ---> y=m(3–3)-7
y=7 therefore the solution is correct.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP-BY-STEP EXPLANATION!!
Answer: c
Step-by-step explanation:
The correct answer is option C i.e. all of the options
Question : Why did I choose the answer as option C
Reason : To assure it we'll match all the options with the figure
First of all in the given figure all the sides and angles are equal hence, we can refer it as regular
Secondly, It is convex because all the parts are pointing outwards and inner ones are not more than 180°
Finally, As it has 8 sides it is an octagon
Now, we can see all the three options are matching leaving C which states all of these options, hence C is correct
Extras :1) What is Octagon ?
ans :- Octagon is an 8 sided polygon
2) What is a regular polygon ?
ans :- Any polygon which has equal angles and sides is known as a regular polygon.
3) What is convex ?
ans :- A convex is a shape where all the parts points outwards and interior angles are not more than 180°
help me please I need
[tex] {x}^{2} + 2x + 6 \\ {x}^{2} + 4x + 2[/tex]
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION..
hey, can i please get your intro? would you like to be my friend?
Myself Ojasvi
Class 8, 13
India
Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º
What are the values of x and y
Answer:
x = 110
y = 15
Step-by-step explanation:
AB is parallel to CD
angle B and angle D are alternate and they are equal
106-2x = 3x-4
106 + 4 = 3x - 2x
110 = x
same goes for y
7y + 13 = 10y - 32
13 + 32 = 10y - 7y
45 = 3y divide both sides by 3
15 = y
Find the values of the unknown angles marked with letters. 50 points!!!!!!!
a ?
b ?
c ?
d ?
Answer:
a = 115°, alternate interior angles are congruentb = 70°, same as abovec = 180° - 115° = 65°, angles forming a straight angle are supplementaryd = 180° - 70° = 110°, same as aboveC:-
[tex]\\ \sf\longmapsto c+115=180[/tex]
[tex]\\ \sf\longmapsto c=180-115[/tex]
[tex]\\ \sf\longmapsto c=65°[/tex]
D:-
[tex]\\ \sf\longmapsto d+70=180[/tex]
[tex]\\ \sf\longmapsto d=180-70[/tex]
[tex]\\ \sf\longmapsto d=110°[/tex]
Given 4,7,10,13. Determine a rule to describe the general term, Tn.
Answer:
[tex]T_{n}[/tex] = 3n + 1
Step-by-step explanation:
There is a common difference between consecutive terms, that is
7 - 4 = 10 - 7 = 13 - 10 = 3
This indicates the sequence is arithmetic with nth term
[tex]T_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = 3 , then
[tex]T_{n}[/tex] = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1
Is 64 a rational number or irrational?
Answer:
Step-by-step explanation:
the answer is irrational hope this helps
Answer:
Rational.
Step-by-step explanation:
64 is a rational number because it's a whole number. Irrational numbers are real numbers including: [tex]\pi, \sqrt{2}[/tex], and etc. Basically, rational numbers are anything that can be expressed as the quotient of two integers: 64/1
convert 72° into grades.
Answer:
80 grades is the answer.
Step-by-step explanation:
72° into grades
1° = 10/9 grades
72° = 10/9 × 72grades
= 720/9 grades
= 80 grades
Answer:
80 grades
Step-by-step explanation:
72° into grades
=>1° = 10/9 grades
=>72° = 10/9 × 72 grades
=>72° = 720/9 grades
=>72° = 80 grades
which value of -7(x2-6)+2y when x=2 and y=6
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
√2+1
b) Rationalize the denominator:
√2+1
Answer:
there is not a complete question here ...
[tex]\sqrt{2} +1[/tex] is not in a denominator to rationalize
if it were you would multiply the rational expression (the fraction)
by [tex]\frac{\sqrt{2} -1}{\sqrt{2} -1}[/tex] the result (in the denominator would end up being "2 -1"
which is 1
Step-by-step explanation:
Can anyone help? It’s due in the morning
21) Angle 4
Angle 5
Angle GVH
Angle GVI
Angle HVI
22) Area of parallelogram = [tex]bh[/tex]
A = 9 × 4 = [tex]36mi^2[/tex]
23) Area of a triangle = [tex]\frac{1}{2} bh[/tex]
A = [tex]\frac{1}{2} (12)(7.3)[/tex]
A = [tex]43.8m^2[/tex]
24) Distance between each pair of point:
Distance between two points = [tex]\sqrt{(x_{B}-x_{A} )^2+(y_{B}-y_{A} )}[/tex]
Add the values in the formula & solve:
[tex]=\sqrt{(-2-0)^2+(2--4)^2}[/tex]
[tex]=\sqrt{(-2)^2+6^2}[/tex]
[tex]=\sqrt{4+36}[/tex]
[tex]=\sqrt{40}=6.3246[/tex]
25) Midpoint [tex](x_{M},y_{M} )=(\frac{x_{A} -x_{B} } {2} ,\frac{y_{A}+y_{B} }{2} )[/tex]
[tex]=(\frac{10+0}{2},\frac{6+7}{2} )[/tex]
[tex]=(\frac{10}{2} ,\frac{13}{2} )[/tex]
Midpoint of a line segment [tex](x_{M},y_{M} )=(5,6.5)[/tex]
I hope this helps....
Determine if the expression -5y^5-y^3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer:
Yes, it is a polynomial, and the degree is 5
Step-by-step explanation:
A polynomial is a combination of terms separated using + or − signs and normally have exponents. So, this equation is a polynomial. The degree is just the highest exponential value, which is 5 because -5y is being raised to the 5th power
b) 2x (x - y) + 3y (x - y)
Use distributive law
[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]
Now
[tex]\\ \sf\longmapsto 2x(x-y)+3y(x-y)[/tex]
[tex]\\ \sf\longmapsto 2x^2-2xy+3xy-3y^2[/tex]
[tex]\\ \sf\longmapsto 2x^2-3y^2-2xy+3x^2[/tex]
[tex]\\ \sf\longmapsto 2x^2-3y^2+xy[/tex]
Taking common
Answer: 2x (x-y) + 3y (x-y)
= ( x-y ) ( 2x-3y )
On two investments totaling $9,500, Peter lost 3% on one and earned 7% on the other. If his net annual receipts were $169, how much was each investment?
Answer:
23$ was each investment
Step-by-step explanation:
[tex]\sqrt{x} x^{2}[/tex] +3
I need help really bad does can I contact anyone for help I need to complete or I fail really bad.
Step-by-step explanation:
45 >= 4x + 5
40 >= 4x
10 >= x (x <= 10)
and
53 > 4x + 5
48 > 4x
12 > x (x < 12)
so, both conditions need to be true (that is the meaning of "and").
how can that be achieved ? well, the harder, narrower condition beats any other.
so, when x <= 10, then it is automatically also smaller than 12.
so, the solution (inequality notation) is
x <= 10
and the graph just shows a line that starts at 10 (with a full, black dot at 10, as the point is included) and goes all the way to the left (to infinity and beyond ...)
maths work summer vacations homework
Answer:
Step-by-step explanation:
line is made up of points and its endless
eg:........................................................................................it goes on forever even though it stopped here
a line segment is not endless it starts a one point and stops at another
eg: :-----------------------: see it stops its like starting a sentence and finshing it .
a ray is diffrent . i dont know how to explain so heres a pic
those orange things are called rays.
HELLLPPPPPPPPP!!!!!!
(2.75 x 107) + (1.23 x 108) simplify
Answer:
427.09
Step-by-step explanation:
(2.75 x 107) + (1.23 x 108)
294.25 + 132.84 = 427.09
arrange in order smallest to largest 0.38, 0.31 , 0.4
Answer:
0.4 , 0.31 , 0.38 is the answer
What is the radius of a sphere with a surface area of 100πcm2?
Answer:
5cm
Step-by-step explanation:
A=4πr2 = 100πcm2
r = 5
Right now Jack’s age is greater than twice Fred’s age by 4. After 8 years, the sum of their ages is 59. Find Fred’s age.
Fred's age is 13 years
Let
Fred's age = x
Jack's age = 2x + 4
After 8 years:
Fred's age = x + 8Jack's age = 2x + 4 + 8= 2x + 12
Sum of their ages = 59Sum of their ages = Fred's age + Jack's age
59 = (x + 8) + (2x + 12)
59 = x + 8 + 2x + 12
59 = 3x + 20
59 - 20 = 3x
39 = 3x
x = 39/3
x = 13 years
Therefore, Fred's age = 13 years
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The minimum mark to obtain a Grade A is 75. Cheryn managed to achieve an average of Grade A for three of her English quizzes. What is the minimum mark she scored in her first quiz if scored 76 and 89 marks in her second and third quiz, respectively?
9514 1404 393
Answer:
60
Step-by-step explanation:
Let m represent the mark Cheryn scored on her first quiz. Then her average is ...
(m +76 +89)/3 ≥ 75
m +165 ≥ 225 . . . . . . . . multiply by 3
m ≥ 60 . . . . . . . . . . . . subtract 165
Cheryn scored a minimum of 60 marks on her first quiz.
Tricia starts school at 7:00 AM and has lunch at 12:00 PM. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch. (Hint: Set up a horizontal number line as a timeline.) A. A. 9:30 AM
B. 10:00 AM
C. 9:00 AM
D. 10:30 AM
Answer:
D) 9:00 am
Step-by-step explanation:
Because 9:00 is the midpoint of 7 and 12
Can you please help me!!!!!
Which correlation best describes the data below.
Answer:
weak positive
Step-by-step explanation:
weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.
positive because the values of data points are rising throughout the graph.
Denise buys a tote bag at a gift shop for $12. The same bag is available at Denise's pharmacy for 2/3 the price she paid at the gift shop. Let's say you have enough money to buy 10 bags from the gift shop. How many bags can you buy from the pharmacy with the same amount of money? A.3 B.12 C.15 D.18
Answer:
15
Step-by-step explanation:
The price of the bag at the pharmacy is
2/3 * 12 = 8 dollars
You have enough for 10 at the gift shop
10 * 12 = 120
Take 120 dollars and divide by 8 dollars to see how many you can get at the pharmacy
120/8 =15
Answer:
the answer is C. it was on my mid-term
Step-by-step explanation:
answer to this problem?
Answer:
The p is 4
Step-by-step explanation:
