[tex] \large \mathfrak{Solution : }[/tex]
let the total time taken to paint the bookcase be x
now ,
[tex] \dfrac{40}{100} \times x = 20[/tex][tex] \dfrac{2}{5} \times x = 20[/tex][tex]x = 20 \times \dfrac{5}{2} [/tex][tex]x = 50 \: \: min[/tex]the required equation is :
[tex] \boxed{ \boxed{ \frac{40}{100} \times x = 20}}[/tex]Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.
Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?
A = {MOPN, PMON}
A = {OPMN, OMPN}
A = {MOPN, MPON, OPMN, POMN}
A = {MOPN, MPON, PMON, POMN}
Answer:
A = {OPMN, OMPN}
Step-by-step explanation:
If Olivers first and Naims last that's the only one that fits
Hope this helps, please leave any questions or concerns in the comments. Thanks
A = {MOPN, PMON} is the subset of the sample space shows the complement of the event in which Oliver is the first skater in the race
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The sample space of the relay race is the set of all possible arrangements of the four skaters, which can be represented by the permutations of the set {M, N, O, P}.
Since Naim is the last skater, there are 3! = 6 possible arrangements of the other skaters in front of him.
The event in which Oliver is the first skater in the race can be represented by the set {OMPN, OPNM, ONPM, ONMP}, which contains 4 possible arrangements.
The complement of this event is the set of all arrangements where Oliver is not the first skater, which can be represented by the set A.
Since there are 6 possible arrangements and 4 of them have Oliver in the first position, there are 6 - 4 = 2 arrangements in A.
A = {MOPN, PMON} is the complement
Hence, A = {MOPN, PMON} is the subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race
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Jefferson Middle School is scheduling buses for sixth grade field trip of 218 students. Each bus holds 45 students. What is the least number of buses needed for the trip?
Answer:
5 buses for all of the students to be able to go
Step-by-step explanation:
45 x 5 = 225 so there would be 7 more seats left but 5 buses is the amount of buses you would need
Help me with this please
Answer:
it is a function
because when we will draw vertical line . then the line will touch at only one point
4. Simplify : (4 a4b 5 ) ✕ (2 a3b)2
Answer:
[tex]8a^{10}b^{7}[/tex]
Step-by-step explanation:
[tex]([/tex][tex]4a^{4}[/tex][tex]b^{5}[/tex][tex])[/tex] × [tex]([/tex][tex]2[/tex][tex]a^{3}[/tex][tex]b[/tex][tex])^{2}[/tex]
[tex](4a^{4} b^{5} )[/tex] × [tex](2a^{6}b^{2})[/tex]
[tex]8a^{4}b^{5}a^{6}b^{2}[/tex]
[tex]8a^{10}b^{7}[/tex]
Can someone help me with this one!
Which number is greater, -7 or 6? Which number has the greater symbols and absolute value symbols when you write your answer. absolute value, -7 or 6? Explain your thinking. Use comparison
Answer:
6 is greater than -7. However, when using absolute value, -7 would be greater because its absolute value is +7
Step-by-step explanation:
Hope this helps :)
These circles are:
A. concentric
B. none of these
C. tangent
D. congruent
These circles are tangent .
What is tangent of two circles?Two circles are tangent to each other if they have only one common point. Two circles that have two common points are said to intersect each other. Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.
According to the question
These circles are :
A > Concentric
This option is incorrect because circle are concentric if and only if they have common center .
B> none of these
This option is incorrect .
C > Tangent
This option is correct as Two circles are tangent to each other if they have only one common point and in the figure there is only one common point between both circles .
D> Congruent
This option is incorrect as this two circles have different size but in congruent both circle should be same size which is not possible here.
Hence, These circles are tangent .
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Evaluating an Expression
Evaluate (15 - 4x) + 5 when x = 3.
Answer:
8
Step-by-step explanation:
(15-4x)+5
(15-4(3))+5
(15-12)+5
3+5=8
Answer:
seven
Step-by-step explanation:
If you figure out these questions I’ll give you brainliest
1. Why are they called buildings if there already built
2. Is 5.0 a decimal or an interger
3. Why is it called an apartments if their built together
Answer:
1: it is called a building cause it can still be improve or built on.
2: its an integer in a decimal formation.
3: cause each unit is apart from the other units even though it is 1 big building.
Step-by-step explanation:
A rectangle has perimeter 70 cm and length 29 cm. What is its width?
Answer:
6 cm
Step-by-step explanation:
70=29+29+2x
70=58+2x
70-58=2x
12=2x
12/2=x
6=x
Check: 29+29+6+6=70
Answer:
6 centimeters.
Step-by-step explanation:
The equation to find perimeter is P=2L+2W. L is length and W is width.
70=2(29)+2W
70=58+2W
70-58=2W
12=2W
6=w
-3/8p=9 how do you isolate p?
Answer:
multiply both sides by 8 then divide by -3
or in one step divide both sides by (-3/8) which is the same as multiplying by
(-8/3)...
-3p = 72
p = -24
Step-by-step explanation:
You are going on a long trip and want to calculate your Miles per gallon. When you start your trip your odometer read 95842 miles. At the end of your trip your odometer reads 95975 miles. You started with a full tank and to return to a full tank you put in 7 gallons of gas total. What is your miles per gallon?
Answer:
19 miles per gallon
Step-by-step explanation:
95975 - 95842 = 133
133 divided by 7 = 19
Select the correct answer for each statement.
1) will yield consecutive odd integers.
2k+9, 2k+11, 2k+13
or
3k+2, 3k+3 , 3k+4
2)will yield consecutive integers.
k+6, k+8 , k+10
or
k+1, k+2, k+3
Answer:
Part A. Option a. is correct
Part B. Option a. is correct.
Step-by-step explanation:
Part A.
The numbers given by 2k + 9, 2k + 11, 2k + 13 will represent 11, 13 and 15 for k = 1, which are consecutive odd integers.
And the numbers given by 3k + 2, 3k + 3 and 3k + 4 will represent 5, 6, and 7 for k = 1 and they are not consecutive odd integers.
Therefore, option a is correct.
Part B.
The numbers given by k + 1, k + 2, k + 3 will represent 2, 3 and 4 for k = 1, which are consecutive integers.
And the numbers given by k + 6, k + 8, and k + 10 will give 7, 9, and 11 for k = 1 and they are not consecutive integers.
Therefore, option A is correct.
Step-by-step explanation:
Hope it helps
Answer:
1 is a. and 2 is a.
Step-by-step explanation:
look at the guy above me
1. Place the following numbers as accurately as possible on the number line below. Approximate your
spacing as you place each number
2
1
1
1
-12
4
-0.75, 3
-1.6, 4
1.2
0
Answer:
here's the order sry my handwriting is poor
(4xz)³-2xy
x= 2 y=(-4) z= 1
plz help it's for homwork.
Answer:
528
Step-by-step explanation:
Plug in values.
(4 x 2 x 1)³ - 2(2)(-4)
8³ - (-16)
512 + 16
528
−[(−r) + 2p] = −(−r) − 2p
Answer:
chfdhfjfhbdhfuthdhfuruu
Solve for x:
3x - 2 = 8x + 8
x = -2
I hope this helps!
Find length
__
AB
A:-6
B: 8
To find the distance between those two points you would need to
do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.
Answer:
14 = AB
Step-by-step explanation:
When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers
or you can set up the expression---
| -6-8 |
which equals
| -14 |
or
14
because 14 is the same as | -14 |
The radius of a circle is 12cm.A chord of the circle is 16cm long.Calculate the distance of the chord from the centre of the circle.Give the answer to 1 decimal point.
NO LINKS PLEASE!!!
Sandi got 1/1/4 pounds of gummy worms if she left the store with 3 pounds of gunmys worms and skittles ,how many pounds of skittles did she get
Answer:
1 3/4 lbs of skittles
Step-by-step explanation:
Easy way: 3lbs - 1 1/4lbs = 1 3/4lbs
Complex way:
(I'm assuming "1/1/4" means "1 1/4")
This is simply ~Subtraction~
The total is 3lbs(t) and 1 1/4 of that 3lbs is gummy worms(g). What is left of the 3lbs is skittles(s).
So we need to know what added to 1 1/4 equals 3.
Equation: t= 1 1/4 + s
Equation: t= 1 1/4 + s
We can replace (t) with 3 because we know this variable.
1. 3= 1 1/4 + s
To isolate the variable (s) we need to subtract 1 1/4 on both sides of the equation
2. 3(- 1 1/4)= 1 1/4(- 1 1/4) + s
The right side cancels out = 0 and the left = 1 3/4
3. 1 3/4= s
Flip it around for the traditional view
4. s = 1 3/4
In word form: Skittles equal 1 3/4 (don't forget to add lbs or pounds back into the final answer)
Check Your Un
4. Suppose you are asked to solve the equation 3/4x - 2/3=1/6x
a. What number could you multiply both sides of the equation by so
that the numbers in the problem are integers and not fractions?
b. What property allows you to do this?
Answer:
L.C.M of 4,3 and 6 is 12
The Multiplication Property for Equations states that an equation can be multiplied or divided by the same number on each side of the equation without changing the solution to the equation.
Step-by-step explanation:
PRECALCULUS WITH AB
At 0°C, the volume of a gas is 22 L. For each degree, the temperature T (in degrees Celsius) increases, the volume V (in liters) of the gas increases by 2/25
write an equation that represents the volume of the gas in terms of the temperature
A box of crayon weighs 0.6272 N. There are 8 crayons inside the box. What is the mass of each crayon in grams?
Answer:
Mass of that box of crayon = .06272 Kg
Mass of each crayon = 0.00784 Kg
0.00784*1000 = 7.84 g
Christina goes to the market with $50.00. She buys four papayas at $2.75 each and spends the rest of the money on bananas. Each banana cost $1.18. Write an inequality for the number of bananas she can purchase.
Answer:33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
Answer:
33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
4-3x=8-4x please help
Answer : #1= Answer:x=−4
#2=Answer:x=7
I need the awnser for 10 please help
[tex] \mathfrak{Solution : }[/tex]
The sum of two complementary angles is 90° , so
(5x + 7)° + (8x - 21)° = 90°5x + 8x + 7° - 21° = 90°13x - 14 = 90°13x = 90° + 14°13x = 104°x = 104° ÷ 13x = 8°1st angle :
(5x + 7)° ((5×8) + 7)° (40 + 7)° 47°2nd angle :
(8x - 21)°((8×8) - 21)°(64 - 21)°43°Which is true when a negative number is subtracted from a positive number?
A. The difference is always zero.
B. The difference is always positive.
C. The difference is always negative,
D. The difference could be positive or negative
Answer:
D is the correct answer
Step-by-step explanation:
it honestly depends on what the numbers are
for example, 12 -6, you would get 6.
but if the question is something like 4 -8, you'd have -4
30 Neil's weight 510g. what is the mass of 48 Neil's
at first..we need to find the value of one neil....
1 neil=510/10
=17
Therefore..one neil=17 g...
Now;
48 neil= 17×48
=816
Hence; The mass of 48 Neil's is 816...
hope this will help u
Alg 1 solving equations
-12(-4 + p) = -48
Answer:
[tex]p=8[/tex]
Step-by-step explanation:
[tex]-12\left(-4+p\right)=-48[/tex]
Divide both sides by -12:-
[tex]\frac{-12\left(-4+p\right)}{-12}=\frac{-48}{-12}[/tex]
[tex]-4+p=4[/tex]
Add 4 to both sides:-
[tex]-4+p+4=4+4[/tex]
[tex]p=8[/tex]
OPEACEO ^^
[tex]\large \mathfrak{Solution : }[/tex]
let's solve for p
[tex] - 12( - 4 + p) = - 48[/tex][tex] - 4 + p = \dfrac{ - 48}{ - 12} [/tex][tex]p = 4 + 4[/tex][tex]p = 8[/tex]The expression 6s^2 can be used to find the surface area of a cube whose side length is s. Find the
surface area of a cube whose side length is 4 inches.
