Given:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
To find:
The quotient of Susan and Robyn.
Solution:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]
So, Susan's quotient is 10.
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]
So, Robyn's quotient is 20.
Since 20>10, therefore, Robyn will get greater quotient.
Rewrite the expression (z^1)^2 in the form z^n
What is the value of p in the equation shown?
3
p =-0.027
Answer:
According to the question,
3p=-0.027
By transposing '3' to the RHS, we get
p=0.027/3
= p=-0.009
So in this question p=-0.009
Picture provided
Please solve.
Step-by-step explanation:
hope this helps, good night!!!!
-3(f - 8) = 39
Distributive Property
Brainly
A taxi service charges $1.00 for the first mile then $0.10 for each additional mile after that. How much would you pay for having the taxi drive you 2 MILES?
Answer:
$1.10
Step-by-step explanation:
In an equation, this would be written as follows (where y equals the total price and x is the number of miles driven):
[tex]y = 0.10(x-1) + 1.00[/tex]
Therefore:
[tex]y=0.10(2-1)+1.00[/tex]
[tex]y= 0.10(1)+1.00[/tex]
[tex]y=0.10+1.00[/tex]
[tex]y=1.10[/tex]
y = $1.10
6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número 4.956 puede escribirse como: 7. Fernando tiene 12 cuadrados de cartulina y Catalina tiene 16. Si ambos disponen sus cuadrados uno aliado del otro, ¿cuál de los dos niños puede formar un cuadrado? 8. Escriba las siguientes cifras como notación científica. Número: Notación científica: 45000000 0,000000000000056 0,000000000034
Answer:
6. Miles [tex]{}[/tex] cientos decenas unidades
4 [tex]{}[/tex] 9 5 6
7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones
8. 45000000 = 4.5 × 10⁶
0.000000000000056 = 5.6 × 10¹⁴
0.000000000034 = 3.4 × 10¹¹
Step-by-step explanation:
6. Los valores posicionales de dígitos son;
Miles [tex]{}[/tex] cientos decenas unidades
4 [tex]{}[/tex] 9 5 6
7. El número de cuadrados que tiene Fernando = 12
El número de cuadrados que tiene Catalina = 16
El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;
largo × ancho = Área del cuadrado
largo = ancho = lado del cuadrado
Lado del cuadrado × Lado del cuadrado = Área del cuadrado
(Lado del cuadrado) ² = Área del cuadrado
Lado del cuadrado = √ (Área del cuadrado)
Para Fernando, Área del cuadrado = 12
Lado del cuadrado para Fernando = √12 = 2 · √3 cartones
Para Catalina, Área del cuadrado = 16
Lado del cuadrado para Catalina = √16 = 4 cartones
Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones
8. 45000000 = 4.5 × 10⁶
0.000000000000056 = 5.6 × 10¹⁴
0.000000000034 = 3.4 × 10¹¹
Heeeeeeeeelp plssssssssss
Answer:
26 notches would be made.
Answer:
c) 26
Step-by-step explanation:
If I am understanding the question correctly it's just asking how many notches there will be on a certain length of metal and so in order to find it, you would just divide 6 1/2 by 1/4, also written as 6.5 divided by 0.25, to get 26.
What is the square of 20
First you need to know that square means multiplicatin by itself to itself so square of 20 means 20×20=400
The square root of 20 is 4.472
The square or 20^2 is 20•20=400
Does anyone know this?
Answer:The awnser Is this
Positive Roots: 2 or 0
Negative Roots: 1
6(2x+4) plzzzzzzz I need help
Answer:
12x+24
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Simplifying
6(2x + 4) = 0
Reorder the terms:
6(4 + 2x) = 0
(4 * 6 + 2x * 6) = 0
(24 + 12x) = 0
Solving
24 + 12x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 12x = 0 + -24
Combine like terms: 24 + -24 = 0
0 + 12x = 0 + -24
12x = 0 + -24
Combine like terms: 0 + -24 = -24
12x = -24
Divide each side by '12'.
x = -2
Simplifying
x = -2
On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5). What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x + 5)
The equation is C. y − 5 = −(x − 2)
The line equation is y − 5 = −(x − 2), and the correct option is C.
What is the equation of a Straight Line?The equation of a straight line is given by
y = mx +c
where m is the slope and c is the y-intercept.
The line goes through the points (1, -1) and (4, 2),
The slope of the line will be
m = (y'-y)/(x'-x)
m = ( 2+1)/(4-1) = 1
The product of the slope of the line and the line perpendicular to it is -1
So, the slope of the line perpendicular to the given line is -1.
The line passes through the point (2,5)
The point-slope form is
(y-y') = m(x-x')
so, the equation will be
y − 5 = −(x − 2)
Therefore, the line equation is y − 5 = −(x − 2), and the correct option is C.
To know more about the Equation of Straight line
https://brainly.com/question/21627259
#SPJ2
what is the domain of the function represented by the graph?
Answer: x is equal to or bigger than -3
Step-by-step explanation:
Best representation of 5 7/3
Answer:what it is
Step-by-step explanation:
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
D
Step-by-step explanation:
A realtor makes a 3% commission on every house they sell. If they just sold a house for $314 000, how much did the realtor make?
Answer: $9420
Step-by-step explanation: 314000x0.03 is 9420
Answer: 314,000 x 0.03 = $9,420
When three points lie on the same line
Lori has a dog named Rusty. Tim's dog, Midnight, eats 28 cups of food in a week. Midnight eats the same amount each day. In one day, how many more cups of food will Midnight eat than Rusty? Complete the explanation. Rusty's Care Food 3 cups a day Water 4 cups a day Bath 2 times a month Midnight will eat more cup(s) of food than Rusty each day. Rusty will eat 3 × 7 = cups of food in one week. 28 − 21 = There are 7 days in a week, so Midnight will eat more cup(s) of food each day.
Answer:
Midnight will eat 1 more cup of dog food per day than Rusty.
Step-by-step explanation:
Rusty:
eats 3 cups of dog food per daydrinks 4 cups of water per daytakes a bath twice a monthMidnight eats 28 cups / 7 days = 4 cups of dog food per day.
Midnight will eat 4 - 3 = 1 more cup of dog food per day than Rusty.
Graziano predicted that he would sell 420 tablecloths. He actually sold 520 tablecloths. What are the values of a and b in the table below? Round the answer to the nearest tenth.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Tablecloths
420
520
a
b
a = -100/420; b = -23.8%
a = -100/520; b = -19.2%
a = 100/520; b = 19.2%
a = 100/420; b = 23.8%
Answer
-19.2
Step-by-step explanation:
Answer:
-19.2
Step-by-step explanation:
Yes
Simply the expression below .
8+ ( 15 - 3 ) + 4
help please .
Answer:
24
Step-by-step explanation:
8+ ( 15 - 3 ) + 4
8+12+4
20+4
24
Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009
The best choice is A)
when you add a zero, it does not count on a decimal, so,
1.9, 1.90, 1.900.
Answer:
the answer is a
Step-by-step explanation:
What is the population growth rate of a country with an initial population of 100 million and a
population of 500 million 60 years late?
a. 02%
b. 1.2 %
c 2.1%
d. 2.7%
Answer:
its answer C 2.1%
Step-by-step explanation:
Find the area of the rectangle contained within the following four lines
x =1, x = -2 , y= -3, y=2
How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION
Answer:
should be 15 hope I helped you out.
Step-by-step explanation:
Answer:
15 sq unit
Step-by-step explanation:
Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.
the length of the said rectangle will be l = 1 + (-2)
and the breath b = 2 + (-3)
Area= lxb = 15 sq.unit
if 12x+8 is less than 6,what is the value of 8x
yall i need this answerd asap plz help
Answer:
B
Hope this helped ;)
Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.
Answer:
8
Step-by-step explanation:
Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.
What is the name of the lake located at letter B on the map above? Answer is C :)
Answer:
the answer is C. lake Texoma
hope this helps
25 POINTS what is the domain of the quadratic function graphed below?
a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)
Answer:
A or D i tink
Step-by-step explanation:
becuz i tink b and c is not to me
Answer: (a) all real numbers
Step-by-step explanation:
The arrows mean that the line continues for infinity, so the x continues to change for infinity.
please can you help. i would really appreciate it
Answer:
The integers that satisfy both inequalities are any number between -4.5 and -12
Step-by-step explanation:
Hope this helps and pls do mark me brainliest if you can:)
What is the maximum number of student tickets that can
be sold if the drama club meets its sales goal?
40
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
60
80
100
Suns 100
5s + 10n 2 800
Answer:
The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
E2020
Write an expression that is equivalent to three over five (3y + 15). (4 points)
A three over five y + 9
B three over five y + 15
C nine over five y + 9
D nine over five y + 15
HELP ASAP
Answer:
The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ Three over five means [tex]\frac{3}{5}[/tex]
∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)
→ By using the distributive property, multiply each term inside the
bracket by three over 5
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)
→ Multiply three over five by 3y
∵ [tex]\frac{3}{5}[/tex] (3y) = [tex]\frac{3(3)}{5}[/tex] (y) = [tex]\frac{9}{5}[/tex] y
→ Multiply three over five by 15
∵ [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{3(15)}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
∴ [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{9}{5}[/tex] y + 9
∴ The equivalent to three over five (3y + 15) is [tex]\frac{9}{5}[/tex] y + 9
c please give 4 stars :)