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.
¡¡. PLEASE HELP !!!!
5 apples weight 0.6 kilograms. All of our apples weigh the same. How many kilograms will 12 apples weigh?
Answer:
I think 7.2
Step-by-step explanation:
I multiply .6 to 12 and got that
There are 28 roses and 35 carnations. Anna is making flower arrangements using both flowers, what is the maximum number of arrangements she could make?
Answer:
The maximum amount of flower arrangements she can make are 28.
Step-by-step explanation:
There are enough roses and carnations to make 28 flower arrangements. There will still be leftover carnations but that's fine.
You do this by finding the smaller number of flowers and grouping them with the other flower so it makes a group of two. If the other flower had 2x the amount of the smaller flower, them group them in a group of 3; 1 : 2
But this is only used to make the maximum amount. this is not the efficient way to go but this is the way to go if you are finding the max amount.
ASAP ASAP ASAP
PLEASE HELP ME
Answer:
d
Step-by-step explanation:
Answer:
I rlly don't know how to help you bruh
Step-by-step explanation:
Why I can't understand the question and as to what they mean by if you fold it as shown though i know they probably mean where the shapes on the side are I say find someone else or take a wild guess.
2.5 as a simplified fraction
Answer:
I believe it would be 5/2
40 POINTS FOR AWNSER
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Objects that are in the same plane are called _______________ . *
Answer:
black lines....I think
Can you please help me? I will give brainliest, I appreciate it :) Thanks!
Answer:
I going to say this should be easy because there must be a f(x) in a function so I think the answer is A.
Step-by-step explanation:
I think that functions must have f(x) in the equation.
Given m|n, find the value of x.
t
m
(9x+23)
(10x+6)°
Someone help?
An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon tetrachloride is found to be 444.6 g. From this information , calculate the density of carbon tetrachloride .
Answer:
The density is 1.59 g/mL. Therefore, the substance will NOT float in water.
Step-by-step explanation:
The following data were obtained from the question:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Mass of CCl₄ =.?
Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)
Mass of CCl₄ = 444.6 – 245.8
Mass of CCl₄ = 198.8 g
Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:
Mass of CCl₄ = 198.8 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Density = mass / volume
Density of CCl₄ = 198.8 / 125
Density of CCl₄ = 1.59 g/mL
The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.
The density of carbon tetrachloride is 1.59 grams per milliliter.
Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:
Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).
(444.6 - 245.8) / 125 = X 198.8 / 125 = X 1.59 = X
Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.
Learn more in https://brainly.com/question/952755
angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.
Answer:
50° and 130°
Step-by-step explanation:
Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°
3x-4+8x-14=180°
11x-18=180°
11x=198°
x=18°
Angle1 = 3*18 -4 = 50°
Angle2 = 8*18 -14= 130°
A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?
Answer:
No
Step-by-step explanation:
The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error
The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)
This means that between 49.7% to 58.1% of the people would have voted for Mario.
Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario
Select the equation that most accurately depicts the word problem.
Mary Lou has 2 more nickels than pennies, and she has 30 coins all together. Use x for the number of pennies.
a. x + 2 = 30
b. x + (x + 2) = 30
c. 2(x + 2) = 30
d. 2x + 30 = 5
Answer:
B. x + (x+2) = 30
Step-by-step explanation:
If x equals pennies, then one part of the statement should include an addition of 2, along with the additions of the value of pennies; and it should all equal 30.
Answer:
B. x + (x + 2) = 30
Step-by-step explanation:
x = number of pennies
y = number of nickels
x + y = 30
y = 30 - x
She has two more nickels then pennies, therefore:
y = x + 2
30 - x = x + 2
30 = x + x + 2
x + (x + 2) = 30
Solve for Y
-2х + 4y = 16
а. y = 2х + 4
b. у = -2х + 4
с. y = 1/2 х + 4
d. y = 1/2 x - 4
In the accompanying diagram of parallelogram abode m\angle A=(2x+10) and m/angle=3x. Find the number of degrees in m/angle B (open pictures for diagram)
Answer:
x = 55
Explanation:
In a parallelogram, the sum of each two consecutive angles is 180°.
In the given parallelogram ABCD, we can note that angles A and B are consecutive angles. This means that their summation is 180°
Therefore:
∠A + ∠B = 180
2x + 15 + x = 180
3x + 15 = 180
3x = 180 - 15
3x = 165
x = 165 / 3
x = 55
Now we can check:
angle A = 2(55) + 15 = 125°
angle B = 55°
angle A + angle B = 125 + 55 = 180°
Hope this helps :)
3 to the 7th power time 3 to the -4th
Answer:
3 to the 3rd power
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
im assuming that the buss only repeat the rout once? so in total they do 2 routes?
bus a at 3:50 and bus b at 4:00
Find the tip amount of a $30 bill with a 20% tip
Answer:
$6
Step-by-step explanation:
Ok, first thing is first, we need to find what 20% of 30 is. We do that by setting 20% in decimal form and multiplying that by 30.
So first,
0.20 * 30
We cross out the zero in 30 and move the decimal point one spot to the right in 0.20. So now we have:
= 2.0 * 3
Which really is,
= 2 * 3
Which equals,
6
Or,
$6
Yes! We got our answer! Nice work!
(The total bill including the tip would be $36 in case you needed to know)
1) If the mean is 15.5 and the standard deviation is 2.5, Label b, c, d, e, and f
Answer:
I accidentally clicked I can’t click out
Step-by-step explanation:
Sorry
how many snakeman and red crows were sold altogether
Answer:
you did not out the full equation so I am not able to solve your problem.
If you put the full problem I will try to solve and walk you through it.
.................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
47.022
Step-by-step explanation:
Answer: 47.022
Step-by-step explanation:
Pic
I need help with 43. . . .
Answer:
B
Step-by-step explanation:
You have 3 red marbles and say x non-red marbles. Then you get the following equation:
[tex]\frac{3}{3+x} = \frac{1}{5}[/tex]
We can solve this equation by doing cross multiplication:
[tex]3*5 = 3 + x[/tex]
And solve for x to be 12.
What is 13 / 143 as a unit fraction
Answer:1/11
Just got it using some brain cells >:)
Answer:
1/11
Step-by-step explanation:
13/143=1/11
7. Evaluate the following expression for n = 4.
2n? - 8
Simply replace n with 4 and do the math.
2n - 8
Let n = 4
2(4) - 8
8 - 8 = 0
Answer: 0
PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY
Answer:
(-0,1)
Really sorry if it's wrong! Have a good day!!
Lili has saved $2,500 money from her part time job at a bakery. Since she will not need this money for a few years, she decides to put the money in a 3-year CD (Certificate of Deposit) at a local credit union. The credit union offers Lili 2.75% APR, compounded quarterly. How much will Lili's CD be worth at the end of the 3 years?
Answer:
Lili's CD be worth at the end of 3 years is $2714.23
Step-by-step explanation:
Lili deposit $2500 at the Annual percent rate 2.75% and for 3 years compounded quarterly.
Let's use formula
A = p[tex](1+\frac{r}{n} )^{n*t}[/tex]
From the given information
p=2500
r =0.0275
t=3
n=4
Plug in these values into the formula
A=2500[tex](1+\frac{0.0275}{4})^{4*3}[/tex]
Simplify the right side of the equation,
A=$2714.23
Solve 3(4x-1)=12x +7
Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?
Answer:
15%
Step-by-step explanation:
if u did the 216 divided by the 18 then that's how u get estimated number
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft
*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Answer:
1st box: 3
2nd box: 39
3rd box: 39
Have a great day, remember to wear a mask! :)
A goblin makes 50 pounds of goo in 2 hours. What is the unit rate?