A terminating decimal only happens when the fraction has a denominator with factors of 2 and/or 5. No other factors are allowed (other than 1).
Something like 1/12 has the denominator 12 with factors 2*2*3. That '3' means we won't have a terminating decimal. Similarly, the fractions 2/9 and 2/3 won't convert to a terminating decimal either.
3/10 on the other hand does convert to a terminating decimal and 3/10 = 0.3
An office equipment store buys highlighter pens boxes at a wholesale price of $15 each. It then marks up the price by 94%, and sells the highlighter pens boxes. What is the amount of the markup? What is the selling price?
The amount of the markup is $29.10, and the selling price is $14.10.
The amount of the markup is $14.10, and the selling price is $0.90.
The amount of the markup is $94, and the selling price is $109.00.
The amount of the markup is $14.10, and the selling price is $29.10.
Answer:
Option (d) is correct.
Step-by-step explanation:
Given that,
The wholesale price of a pen is $15.
It then marks up the price by 94%.
Its marked price is equal to 94% of $15. So,
[tex]\text{MP}=\dfrac{94}{100}\times \$15\\\\\text{MP}=\$14.1[/tex]
Selling price of the highlighter pen is equal to the sum of marked price and the wholesale price.
SP = $14.1+$15
SP = $29.1
Hence, the marked price is $14.1 and the selling price is $29.1
solve the equation for y. ax + by = c
Answer:
y = ( c-ax)/b
Step-by-step explanation:
ax + by = c
Subtract ax from each side
ax-ax + by = c-ax
by = c-ax
Divide each side by b
by/b = ( c-ax)/b
y = ( c-ax)/b
5x-3y=-9 does anyone know an easy way to solve this
5x-3y=-9
+3 +3
5x-y=-6?
-5 -5
x-y=-11
hope it helps!
I'm sorry if it is wrong cuz I'm kind of confused myself...
plss help asap i’ll give brainliest
Answer:
domain is -6 and 4
range is -4 and 4
Answer:
Domain is {-6, -3,2, 6, 3}
Range is {4,-4,-9}
Step-by-step explanation:
Written out, the points are (-6, 4)(-3,-4)(2,-4)(6, -9)(3,-9)
Domain is x axis, range is the y axis
Period
Write the slope-intercept form of the equation of each line. Also create a table of values that
displays 8 coordinate pairs.
A) y = 3x - 4
B) y=-3x - 4
C) y = 2x - 4
D) y=-x-4
Is -49 a equivalent form of 7^-2
No they are not the same
This is because 7^(-2) = 1/(7^2) = 1/49
The general rule is x^(-y) = 1/(x^y)
Joan won a multi-million dollar lottery. She decides to give $1000000 of her winnings to charity. Her plan is to give 1/2, or 2^-1 to charity in January, then give half of the remaining amount in February, half again in March and so on. a) What fraction remains after 6 months? b) what fraction remains after 12 months? c) Write a fraction as a power of 2 with a negative exponent. d) What amount is remaining at the end of the year?
Answer:
A) 1/64
B) 1/4096
C) 1/64 = 2^(-6)
D)$244.140625 left.
Step-by-step explanation:
We are told that Joan decides to give $1000000 of her winnings to charity.
Now in January she gave ½ of the winnings to charity.
Which means she gave out;
½ × 1000000 = $500000
So she has left; 1000000 - 500000 = $500000
In February, she gives out ½ of what she has left.
Thus, ½ × 500000 = $250000
So at end of February she has $250000 left
At the end of March, she will have left;
250000 × ½ = $125000
At end of April, she will have left;
125000 × ½ = $62500
At end of May, she will have left;
62500 × ½ = $31250
At end Of June, she will have;
31250 × ½ = $15625
At end of July, she will have; 15625 × ½ = $7812.5
At end of August, she will have;
7812.5 × ½ = $3906.25
At end of September, she will have;
3906.25 × ½ = $1953.125
At end of October, she will have;
1953.125 × ½ = $976.5625
At end of November, she will have;
976.5625 × ½ = $488.28125
At end of December, she will have;
488.28125 × ½ = $244.140625
A) At end of 6 months which is end June, she will have $15625 left.
Thus, fraction left out of initial money is; 15625/1000000 = 1/64
B) At end of 12 months which is end of December, she will have $244.140625 left.
Thus, fraction left out of initial money is; 1/4096
C) For option A, writing it as a power of 2 with a negative exponent.
First of all 64 = 8²
We know that 8 = 2³
Thus 64 = 2^(6)
Thus; 1/64 = 1/(2^(6)) = 2^(-6)
D)At end of the year which is end of December, she will have $244.140625 left.
Is this relation a function and why?
Answer:
no
Step-by-step explanation:
it doesnt pass the vertical line test -60 has 2 values
how many 0 are in one million
Answer:
6
Step-by-step explanation:
What is the slope in the equation: y=4x+3
Answer:
The slope is −4 . The equation is in slope-intercept form, y=mx+c , where m is the
Step-by-step explanation:
thanks me
A homeowner wants to build a circular fire pit an outdoor patio. The pit will be surrounded by a brick ledge. The diameter of the pit must be at least 16 inches. The ledge myust have a width of at least 2 inches which is the width of each brick. The maximum area for the pit and the ledge is 2826 square inches. What are the possible values for w, the width of the ledge the homeowner could build?
Answer:
The possible values of the width of ledge w are 2 in, 4 in, 6 in, 8 in, 10 in, 12 in, 14 in, 16 in, 18 in, 20 in, 22 in.
Step-by-step explanation:
Since the area of he pit and width of ledge are in a circular pattern, the area of the pit + ledge is given by
A = π(R² - r²) where R = distance from center of pit to outer part of ledge and r = radius of pit.
Since diameter of pit = 16 in, radius of pit, r = 16 in/2 = 8 in.
Also, the maximum area of the pit and ledge is 2826 in². So, A = 2826 in²
Since A = π(R² - r²)
R = √(A/π + r²)
substituting th values of A and r into R, we have
R = √(2826 in²/π + (8 in)²)
R = √(899.54 in² + 64 in²)
R = √963.54 in²
R = 31.04 in
R ≅ 31 in
Now, the maximum width of the ledge w = R - r = 31 - 8 = 23 in.
Since the width of each brick is 2 in, the width of the ledge must be in multiples of 2. Since the maximum width of the ledge is 23 in, we divide it by 2 in to know how many bricks are required for the width of the ledge.
So, number of bricks = 23 in/2 in = 11.5 ≅ 12
So, we require from 1 to 12 bricks to have a minimum to maximum width of ledge.
Since the width of ledge = no of bricks × width of brick
So, the possible values of w are 1 × 2 in, 2 × 2 in, 3 × 2 in, 4 × 2 in, 5 × 2 in, 6 × 2 in, 7 × 2 in, 8 × 2 in, 9 × 2 in, 10 × 2 in, 11 × 2 in
So, the possible values of the width of ledge w are 2 in, 4 in, 6 in, 8 in, 10 in, 12 in, 14 in, 16 in, 18 in, 20 in, 22 in.
We do not include 24 in since the maximum width of the ledge is 23 in.
1 2 of the fish in Elena's fish tank are guppies. 3 7 of the guppies are red. What fraction of the fish in Elena's tank are red guppies?
Answer:
The fraction of fish in Elena’s tank that are red guppies = 3/14
Step-by-step explanation:
The best way to go about this is to select an arbitrary value for the number of fishes in the tank.
Let the total number of fishes in the tank be 84.
Now out of this 85, 1/2 are guppies
The number of guppies fish = 1/2 * 84 = 42
Now, 3/7 of the guppies are red
The number of red guppies is thus 3/7 * 42 = 18 guppies
So the fraction of fishes in the tank which are red guppies will be ; 18/84 = 3/14
I need help with this worksheet too pls
Prove if possible that the following pairs of triangles are congruent. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason “Cannot be determined.” △ DAM ≅?△ by reason ? PLEASE HLEP OUT FILL IN QUESTION MARKS 55 POINTS
Answer:
ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency
Step-by-step explanation:
The proof of congruency of the two triangles is as follows;
Statement [tex]{}[/tex] Reason
Segment DM is congruent to Segment TM [tex]{}[/tex] Given
Segment AM is congruent to Segment UM [tex]{}[/tex] Given
∠DMA is congruent to ∠UMT [tex]{}[/tex] Given
Therefore, ΔDAM is congruent to ΔTUM [tex]{}[/tex] SAS rule of congruency
Where;
SAS = Side Angle Side
Therefore;
ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency.
Answer:
△ DAM ≅△TUM by reason SAS
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius.
1205.76
2411.52
602.88
4823.04
Step-by-step explanation:
volume = pi x radius² x height
okay so the cylinders diameter is 8 inches
diameter divided by 2 is radius so 8/2 = 4
so 3 times the radius will be 3x4 = 12
use the formula above and then you will get your answer
Perry currently has $180 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answer:
180-6x=x+8 =24 57/100
Step-by-step explanation:
I think this is correct, maybe. (It made sense in my head).
Solve the equation using the Properties of Equality. 2/9m -1/9 = 1/18 M=
Answer: m= 2/3
Step-by-step explanation: 2/9m - 1/9 + 1/9 = 1/18m + 1/9
Simplify--- 2/9m = 1/18m + 1/9
Subtract 1/18 from both sides--- 2/9m - 1/18m = 1/18m + 1/9 - 1/18m
Simplify--- 1/6m = 1/9
Multiply both sides by six---- 6 x 1/6m = 1 x 6 divided by 9
Simplify--- m=2/3
My grandmother collects rubber ducks. She has 178
ducks and gives away x ducks. Write an expression to
show how many ducks she has left
178-x=?
This expression is the answer
A car travels at a speed of 50 miles per hour for x hours. Find an expression for the distance that the car travels
O A. 50 + x miles
OB. 50
miles
х
O C. 50x miles
D.
Х
miles
50
Answer: C) 50x
Step-by-step explanation:
Pedro is going for a walk on a trail. He is walking at an average speed of 4 miles per hour. He wants to
walk on a trail that makes a loop that is 6 miles long, but he only has 1 hour until he has to go home.
Does he have enough time to walk the trail?
Answer:
No, he does not.
Step by step explanation:
He does not beacause he will only be able to walk 4 miles 6 - 4 = 2
what's the solution of 6(3-2x)=54 ?
Answer:
X=-3
Step-by-step explanation:
Answer:
x=−3 is the answer
Mr. Drumm is purchasing tickets for a school museum visit. The Museum of Natural History charges a $25 group fee plus $5 per student. The Museum of Modern Art charges a group fee of $35 plus $4 per student. To pay the same amount at each museum, how many tickets will Mr. Drumm have to order?
Answer:
10 tickets
Step-by-step explanation:
25 + 5x = 35 + 4x
solve for x:
subtract 25 from both sides...
5x = 35 - 25 + 4x
subtract 4x from both sides...
5x - 4x = 10
x = 10, 10 tickets.
PLS HELP ASAP IT DUE IN ^ MINUTES PLEASEEEEEEE
Answer:
[tex](x+1)^2(x-3)[/tex]
Step-by-step explanation:
Use the rational root theorem
Hi There!!
It's a factor, So the answer yes.
Step-by-step explanation:
Because, Factor [tex]x^3 - x^2 - 5x - 3[/tex] using the rational roots test.
If a polynomial function has integer coefficients, then every rational zero will have the form [tex]\frac{p}{q}[/tex] where p is a factor of the constant and q is a factor of the leading.
Coefficient
[tex]p =[/tex] ±[tex]1,[/tex] ±[tex]3[/tex]
[tex]q = +1[/tex]
Find every combination of [tex]+\frac{p}{q}[/tex] . These are the possible roots of the polynomial function.
Substitute [tex]-1[/tex] and simplify the expression. In this case, the expression is equal to [tex]0[/tex] so [tex]-1[/tex] is a root of the polynomial.
Since [tex]-1[/tex] is a known root, divide the polynomial by [tex]x - 1[/tex] to find the quotient polynomial. This polynomial can then be used to find the remaining roots.
[tex]x^3 - x^2 - 5x - by[/tex] [tex]x + 1.[/tex]
--------------------------------
[tex]x + 1[/tex]
Divide [tex]x^3 - x^2 - 5x - 3[/tex] by [tex]x + 1[/tex].
[tex]x^2 - 2x - 3[/tex]
Write [tex]x^3 - x^2 - 5x - 3[/tex] as a set of factors.
[tex](x + 1) (x^2 -2x - 3)[/tex]
Factor [tex]x^2 - 2x - 3[/tex] using the AC method.
[tex](x + 1) (x- 3) ( x+ 1)[/tex]
Remove unnecessary parentheses.
[tex](x + 1) (x- 3) ( x+ 1)[/tex]
So, Your best answer is [tex](x + 1) (x- 3) ( x+ 1)[/tex]
[tex]GoodLuck!![/tex]
#[tex]Be[/tex] [tex]Bold[/tex]
# [tex]Always[/tex] [tex]Brainly![/tex]
[tex]_{Loserbrazts}[/tex]
(╹ڡ╹ )
Help me out please. Correct answers only
Answer:
c=39
Step-by-step explanation:
4+2=6
To remove square root you have to square everything making the 6 a 36 and then add 3. At the end it is a 39.
The perimeter of a rectangular sports court is 142 feet. After the game, a player's coach estimates that the athlete has run a total of 498 feet, which is equivalent to six times the court's length plus nine times its width. What are the dimensions of the sports court?
Answer:
Width = 24 feet
Length = 47 feet
Step-by-step explanation:
Given:
Perimeter of rectangular sports court = 142 feet
Assume;
Length = l
Width = b
So,
6l + 9b = 498 feet.......Eq1
Perimeter of rectangular sports court = 142 feet
2l + 2b = 142
l + b = 71
l = 71 - b
From Eq 1
6l + 9b = 498
6[71 - b] + 9b =498
426 - 6b + 9b = 498
b = 24
Width = 24 feet
l + b = 71
l + 24 = 71
l = 47
Length = 47 feet
You start at (3, 5). You move down 4 units and left 1 unit. Where do you end?
Answer:
(-1,4)
Step-by-step explanation:
every 9 out of 12 were chosen
90 POINTS I WILL GIVE BRAINLIEST! - If a line with the equation y = x is dilated by a factor of 2 what is the equation of the resulting line? If it is then moved three units up, what is the equation of the resulting line? - I want to say that the equation does not change, is that correct or am I missing something?
Answer:
Step-by-step explanation:
y=xdilating an equation means you multiply it by constant a
y=x the y=ax after dilation (a=2)
y=x
y=2xIf it is then moved three units up: means you add constant b (b=3)
y=2x+3Answer:
y=2x+3
Step-by-step explanation:
help quick!!!!! be original
Answer:
Yes because they both have a right angle
Step-by-step explanation:
The sum of three consecutive integers is 102. What is the closest integer to zero?
Answer:
The sum of three consecutive integers is -72
Step-by-step explanation:
