Answer:
one solution
Step-by-step explanation:
A certain lock has four tumblers, and each tumbler can assume six positions. How many different possibilities are there?
Answer:
24?
Step-by-step explanation:
4 times 6
Possibilities for one tumbler is 6. So, the number of different possibilities for 4 tumblers is 6⁴ or 1296.
Permutation:Important information:
A certain lock has four tumblersEach tumbler can assume six positions.We can use permutation to find the number of possibilities for 1 tumble.
[tex]^6P_1=\dfrac{6!}{(6-1)!}[/tex]
[tex]^6P_1=\dfrac{6!}{5!}[/tex]
[tex]^6P_1=6[/tex]
The number of different possibilities for 4 tumblers is:
6 × 6 × 6 × 6= 1296
Therefore, the number of different possibilities for 4 tumblers is 1296.
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A recipe uses 5 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made from three quarts? \text{1 gallon}= 1 gallon= \,\,\text{4 quarts} 4 quarts \text{1 quart}= 1 quart= \,\,\text{2 pints} 2 pints \text{1 pint}= 1 pint= \,\,\text{2 cups} 2 cups \text{1 cup}= 1 cup= \,\,\text{8 fluid ounces} 8 fluid ounces Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?
Answer:
24 servings
Step-by-step explanation:
A recipe uses 5 cups of milk to make 10 servings.
We have to carry out some conversions
We have to convert 5 cups to quarts
1 quart = 2 pints
1 pint = 2 cups
Hence, 2 pints = 4 cups
1 quart = 2 cups
1 cup =0.25 quart
5 cups = x quarts
x = 5 × 0.25
x = 1.25 quarts
Hence
1.25 quarts = 10 servings
3 quarts = x
x = 3 × 10/1.25
x = 24 servings
Leroi and Sylvia both put $300 in a savings account. Leroi decides he will put in an additional $60 each week. Sylvia decides to put in an additional 20% of the amount in the account each week. Complete the sentence to answer the question.
Answer: See explanation
Step-by-step explanation:
Here is the remainder of the question:
a. Who has more money after the first additional deposit? Explain.
b. Who has more money after the second additional deposit?
a. Amount put in savings account = $300
Leroi's amount after first week = $300 + $60 = $360
Sylvia's amount after first week = $300 + (20% × $300) = $300 + (0.2 × $300) = $300 + $60 = $360
They both have equal amount after the first week.
b. After the second deposit,
Leroi's saving = $360 + $60 = $420
Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432
Sylvia has more savings after the second week
Write the word sentence into an inequality: “A number is greater than 5.”
Answer:
5 < x
It's x because we don't know the number
May I have brainliest please? :)
2). Arielle has a collection of grasshoppers and crickets. She has 561 insects in all.
The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has
Arielle has 374 grasshoppers and 187 crickets in all.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let's set
x = number of grasshoppers
y = number of crickets
Arielle has a collection of 561 insects, therefore
x + y = 561 [1]
The number of grasshoppers is twice the number of crickets, so
x = 2y [2]
Substituting [2] in [1]:
2y + y = 561
Simplifying
3y = 561
Dividing by 3
y = 561/3
y = 187
From [2]:
x = 374
x = 374
Hence, the number of each type of insect that she has 374 grasshoppers and 187 crickets
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A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false. The jacket is now 40% off its original price. True or false The jacket now costs $48.00. True or false The jacket is now 72% of its original price. True or false The jacket now costs $43.20. True or false
Answer:
Step-by-step explanation:
Step one:
given
original price= $60
discount =20% of 60
discount = 20/100*60
discount = 0.2*60
discount = $12
selling price= 60-12= $48
Added price= 10% off $48
Added price= 10/100 *48
Added price= 0.1 *48
Added price= $4.8
new price= 4.8-48=$43.2
the new price of the jacket is $43.2
1. The jacket is now 40% off its original price
40/100*60=$24-----False
2. The jacket now costs $48.00-----False
3. The jacket is now 72% of its original price= 72/100*60=$43.2----True
4. The jacket now costs $43.20------True
A baker can bake 72 muffins in 3 hours. If the baker sell each muffin for $0.85 each, how much money can the baker make?
He will make $61.20 for 72 muffins in three hours.
i need help to solve please
Answer:
x = 52Step-by-step explanation:
Known:
What to find = x
Exterior angle = 142
Right angle = 90
Unknown:
what unknown value is = ?
Interior angle = ?
1. Find the angle of the interior angles.
180 - 142 = 38
2. Add the two known angles
38 + 90 = 128
3. Subtract from 180
180 - 128 = 52
x = 52 is the answer.Hope this helped,
Kavitha Banarjee
The art supply store is having a sale. Paint sets are 20% off and everything else is 15% off. Before the discount, a paint set is priced at $43.50, a canvas is $12.75, and paint brushes are $7.50. Mary purchases all three of these items. About how much did Mary spend after the discount, before sales tax? Group of answer choices
Answer:
Step-by-step explanation:
Step one:
given
paint set= $43.50
20% off 43.50
20/100*43.50
0.2*43.50
=$8.7
43.5-8.7
new price of paint set=$34.8
canvas=$12.75
15% off 12.75
15/100*12.75
0.15*12.75
=1.9125
=12.75-1.9125
new price of canvas=$10.83
paint brushes are $7.50
15% off $7.5
15/100*7.5
0.15*7.5
=1.125
=7.5-1.125
new price of paint brush=$6.38
total =$34.8+$10.83+$6.38= $39.25
Answer:
actually the answer is 52
Step-by-step explanation:
20% x 43.50/100 = 34.8
12.75 x 15% /100 = 10.83
7.50x 15%/100 = 6.37$
Add all of them together and you will get 52$
Easiest way to do it
20% x 43.50/100
12.75 + 7.50 = 20.25
20.25 x 15%/ 100 = 3.03
20.25 - 3.03 = 17.21
Then add all of them together and you will still end up with about 52$
17.21 + 34.8 = 52
Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = 2x – 5 2y – 4x =___
–10
–5
5
10
Answer:
the answer is -10
Step-by-step explanation:
hope this helped you!!!!
Answer:
-10 the guy above is correct :3
Step-by-step explanation:
the first row are input, x the second row is output, y .
select all that are in the domain of this function
A. 2
B.3
c.5
d.7
e.9
f.11
g.12
h.14
I. 19
Answer:
Domain is also called input you got this
Step-by-step explanation:
When did the earliest Jewish communities start
Answer:
The first Jewish communities in Babylonia started with the exile of the Tribe of Judah to Babylon by Jehoiachin in 597 BCE as well as after the destruction of the Temple in Jerusalem in 586 BCE. Many more Jews migrated to Babylon in 135 CE after the Bar Kokhba revolt and in the centuries after.
What is the answer to this problem?
Answer:
a. zero
b. negative
c. positive
Step-by-step explanation:
In a the plane is not going up or down so it is zero. b is going down therefore it's negative. In c the plane is going up so it is positive.
Please help me solve this question:
−(−D)=
Answer
D = 0
Step-by-step explanation:
-(-D) will need to be distri by -1 so a negotive times a neg is a positive so -D turns to positive D. And positive D is on the zero.
Explain, in your own words, how to solve the problem shown. When finished explaining the steps, write your answer. There are 4,050 newspapers to be delivered in a certain area of town. If 18 newspaper carriers are all delivering the same number of papers, how many will each deliver?
Answer:
225
Step-by-step explanation:
Total number of newspapers to be delivered = 4050
Total number of carriers to deliver the newspapers = 18
Each newspaper carrier delivers the same number of newspapers.
To find:
The number of newspapers that each newspaper carrier will deliver ?
Solution:
The solution to this problem lies in the language of the problem itself.
As we are given that every newspaper carrier will deliver the same number of newspapers.
Therefore, we need to divide the total number of newspapers i.e. 4050 in 18 (number of newspaper carriers) equal parts.
So, the answer is:
[tex]\dfrac{4050}{18} = \bold{225}[/tex]
What is the slope of the line 4x-3y=6
Answer:
4
_
3
Step-by-step explanation:
f ( x ) = 2 ( x − 5 ) − ( 3 x + 1 ) , find f ( − 15 ) ,
Answer:4
Step-by-step explanation:if you replace each "x" in the equation with the given x (-15) then it should go as such:
2(-15-5)-(3(-15)+1)
Then simplify
2(-20)-(-45+1)
2(-20)-(-44)
-40-(-44)
-40+44
4
What is the length of the diagonal of the square shown below? 11 45° 11 11 90° 11
A. 121
B. 11
C. 11√11
D. √11
E. 11√2
F. √22
Answer:
It would be 11
Step-by-step explanation:
The square's diagonal length is; (E) d = 11√2.
What is a diagonal?A diagonal is a line segment that connects two vertices (or corners) of a polygon also, connects two non-adjacent vertices of a polygon.
This connects the vertices of a polygon, excluding the figure's edges.
A diagonal can be defined as something with slanted lines or a line connecting one corner to the corner farthest away.
A diagonal is a line that connects the bottom left corner of a square to the top right corner.
So, we need to determine the length of the square's diagonal.
The formula for the diagonal of a square is; d = a2; where 'd' is the diagonal and 'a' is the side of the square.
Now, d = 11√2.
Hence, the square's diagonal length is (E) d = 11√2.
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please help?!
elsies aunt borrows $400 with an interest rate of 1.5%. how much interest will she pay after 4 years?
show work?!
Answer:
480 duh
Step-by-step explanation:
The regular pnce of a calculator is $15.98.Today you can buy it on sale for 70% of the regular price About how much will the calculator cost?
Answer:
$11.19
Step-by-step explanation:
15.98•0.70=11.19
Answer:
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Step-by-step explanation: 3pooopppppp391ti194i19iq09r4it0941it09134t901i4t943it09431ti934it9134t91i3t90349it9130ti1093it109ti190ti0910i9ti90i9103ti9i91349ti9139i04t09i34ti9130ti109ti0914ti1903ti9304ti094t130ti1043it10i0i41i(3+4=7)d
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Write an equation in slope-intercept form for each table below. Show how you found the slope and y-intercept.
Answer:
y = 2x + 1
Step-by-step explanation:
The intercept is the point where the line touches the y axis. The slope is determined by calculating the rise divided by run.
Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days.
Answer:
The soonest they will see each other again is in 48 days
Step-by-step explanation:
Here is the complete question:
Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days. The soonest they will see each other again is in days.
Step-by-step explanation:
From the question, Sumiko and Jandella ran the bleachers together today, that is, they saw each other today.
Sumiko runs the bleachers every 6 days while Jandella runs them every 16 days
To determine how soon they will see each other again, we will list the days they will run the bleachers separately.
For Sumiko, she will run the bleachers on the
6th, 12th, 18th, 24th, 30th, 36th, 42nd, 48th, 54th, 60th, etc days after today.
For Jandella, she will run the bleachers on the
16th, 32nd, 48th, 64th, 80th, etc days after today.
From above, they will both run the bleachers on the 48th day after today.
Hence, the soonest they will see each other again is in 48 days.
5. Factor Completely
x2 + 16x + 64
Answer:
x^2 + 16x + 64 = (x + 8) (x + 8)
Step-by-step explanation:
Hope this helps. have a nice day
If anyone plays pokemon Go put your code in the answer so I can add you
Answer:
give your trainer code i will add you
Step-by-step explanation:
but you have to invite me to raids
The terms coefficients and constants of 5z 6 and y2
Answer:
???????
Step-by-step explanation:
sorry I don't no
Write the equation of the line that passes through the points (-7,0) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
undefined slope
Step-by-step explanation:
the same number is on the x-axis so it is undefined
Arrange the numbers 53 , 62 and 27 in order from least to greatest]
Answer:
27 53 62
Step-by-step explanation:
Answer:
27, 53, 62
Step-by-step explanation:
6. The table shows the relationship between x and y values.
X
35
45
65
55
82
y
94
88
76
What is the slope of the linear function in decimal form?
Answer:
y = x+5 This equation satisfies all the four sets of x and y values 1.When x = 5,y = x+5 = 5+5 = 10 2.When x = 10,y = x+5 = 10+5 = 15 3.When x =15,y = x+5 = 15+5 = 20 4.When x = 20,y = x+5 = 20+5 = 25 Hence,
Step-by-step explanation:
how manny sixteenths are in 15/16
Answer:
15 sixteenths are in 15/16
Step-by-step explanation: There is a 15 in the numerator.
Answer:
1
Step-by-step explanation:
1
Joseph rented a surf board for $5.25 per hour plus a $16.75 fee. Write an expression that shows how much it will cost josheph to rent the surf board for x hours
Answer:
$22 dollars
Step-by-step explanation:
Add the two numbers. x means one for mathamatics.