Answer:
y= -1/2
Step-by-step explanation:
i hope this helps :)
Answer:
y=-2.136....
Step-by-step explanation:
2(-3)-5(3+2y)=14
-6-5(3+2y)=14
-11(3+2y)=14
-33-22y=14
-22y=47
y=-2.136....
Evaluate the following expression.
3 to power of 1
Answer:
3
Step-by-step explanation:
it is 3 3x1 is 3
solve for x:x - 14 < - 23
Answer:
Step-by-step explanation:
x - 14 < -23
x < -9
A. one solution
B. infinitely many solutions
C. no solution
A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen? Apply the method of Example 9.6.2 using balloons instead of cans of soft drinks to find that the number of different combinations of 28 balloons that can be chosen is . (b) If the store has only 12 red balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? Use the method of Example 9.6.2(c) to answer this question. If the store has only 12 red balloons, then the number of different selections of 28 balloons of the different colors is the same as the number of different selections that contain 12 or fewer red balloons. Let T be the set of all possible selections, assuming that there are at least 28 balloons of each type, let R≤12 be the set of selections in T that contain 12 or fewer red balloons, and let R≥13 be the set of selections from T that contain 13 or more red balloons. Use the relationships among R≤12, R≥13, and T to find that the number of different combinations of 28 balloons that can be chosen is . (c) If the store has only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? (d) If the store has only 12 red balloons and only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen?
Answer:
(a) [tex]Selection = 6724520[/tex]
(b) [tex]At\ most\ 12 = 6553976[/tex]
(c) [tex]At\ most\ 8 = 6066720[/tex]
(d) [tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]
Step-by-step explanation:
Given
[tex]Colors = 8[/tex]
[tex]Balloons = 28[/tex] --- at least
Solving (a): 28 combinations
From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.
Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.
So:
[tex]n => 28 + 8-1[/tex][tex]= 35[/tex]
[tex]r = 28[/tex]
[tex]Selection = ^{35}^C_{28[/tex]
[tex]Selection = \frac{35!}{(35 - 28)!28!}[/tex]
[tex]Selection = \frac{35!}{7!28!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29}{7!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}[/tex]
[tex]Selection = \frac{33891580800}{5040}[/tex]
[tex]Selection = 6724520[/tex]
Solving (b): At most 12 red balloons
First, we calculate the ways of selecting at least 13 balloons
Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)
So:
[tex]n => 15 + 8 -1 = 22[/tex]
[tex]r = 15[/tex]
Selection of at least 13 =
[tex]At\ least\ 13 = ^{22}C_{15}[/tex]
[tex]At\ least\ 13 = \frac{22!}{(22-15)!15!}[/tex]
[tex]At\ least\ 13 = \frac{22!}{7!15!}[/tex]
[tex]At\ least\ 13 = 170544[/tex]
Ways of selecting at most 12 =
[tex]At\ most\ 12 = Total - At\ least\ 13[/tex] --- Complement rule
[tex]At\ most\ 12 = 6724520- 170544[/tex]
[tex]At\ most\ 12 = 6553976[/tex]
Solving (c): At most 8 blue balloons
First, we calculate the ways of selecting at least 9 balloons
Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)
So:
[tex]n => 19+ 8 -1 = 26[/tex]
[tex]r = 19[/tex]
Selection of at least 9 =
[tex]At\ least\ 9 = ^{26}C_{19}[/tex]
[tex]At\ least\ 9 = \frac{26!}{(26-19)!19!}[/tex]
[tex]At\ least\ 9 = \frac{26!}{7!19!}[/tex]
[tex]At\ least\ 9 = 657800[/tex]
Ways of selecting at most 8 =
[tex]At\ most\ 8 = Total - At\ least\ 9[/tex] --- Complement rule
[tex]At\ most\ 8 = 6724520- 657800[/tex]
[tex]At\ most\ 8 = 6066720[/tex]
Solving (d): 12 red and 8 blue balloons
First, we calculate the ways for selecting 13 red balloons and 9 blue balloons
Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)
So:
[tex]n =6+6-1 = 11[/tex]
[tex]r = 6[/tex]
Selection =
[tex]^{11}C_6 = \frac{11!}{(11-6)!6!}[/tex]
[tex]^{11}C_6 = \frac{11!}{5!6!}[/tex]
[tex]^{11}C_6 = 462[/tex]
Using inclusion/exclusion rule of two sets:
[tex]Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)[/tex]
[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462[/tex]
[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 827882[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]
The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi.
Answer:
The circumference of the wheel is 50.24 inches
Step-by-step explanation:
What I did was divide the diameter by two (Because you need to radi to get the diameter) to be sure of the answer. I then, multiplied the diameter by 3.14 to get 50.24in.
Please help me answer number 2.
Answer:
a
Step-by-step explanation:
just did it
If I have 10 apples, 3 oranges and 7 pears how may oranges do i have?
Answer:
20 oranges.
Step-by-step explanation:
If you add 10 and 3 that gives you 13,
now add the 7 and that should give you 20.
Find the volume........
Answer:
765
Step-by-step explanation:
1/4 xbxaxh
0.5 x 17 x5 x 18
Which equals to 765
Answer:
18X17X5X.5=765
i think
Step-by-step explanation:
all you do is X all the sides and then add a *.5
someone please help me asap !!!!
Answer:
y=-2x-3
Step-by-step explanation:
An employee put $3,000 in a retirement account that offers 7% interest
compounded annually. The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest the employee will
have earned at the end of 5 years?
A. $357.21
B. $1,207.66
C. $499.15
D. $2,567.33
Answer:
B
Step-by-step explanation:
How many 1/5s are in 1?
Answer:
5!
Step-by-step explanation:
If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.
find ∠ M A D (just numbers, no degrees signs).
Hope this will help you lot.
Answer:
<MAD=66
Step-by-step explanation:
to find x:
8x-49=3x+6
x=11
to find DMC:
8(11)-49
<DMC=39
<ADM=36
to find ADC:
36/2
<ADC=18
3x(x + 2) and 6x(2x-3)
Answer:
3x^2+6x and 12x^2-18x
Step-by-step explanation:
First explantanation : 3x time x is 3x^2 and 3x time is 2 is 6x . 2nd explantanation : 6x time 2 is 12x^2 and 6x time -3 is -18x .
6/10 of the class has a pet dog. 27/100 of the class has a pet cat. The rest of the class has a pet fish. What fraction of the class has a pet fish?
Answer:
13/100 have pet fish
Step-by-step explanation:
6/10 = 60/100
60/100 + 27/100 = 87/100 have cats and dogs
that leaves 13/100 have pet fish
What is the value of the expression to 16 - 14 ÷ 2 + (3 + 2) to the power of 2
Answer:
34
Step-by-step explanation:
16-14/2+(3+2)^2
Solve for t. t + -24 = -29 -8
what is t value?
Hope this helps
Step-by-step explanation:
t-24= -37
t= -34+24
t= -13
Answer:
t = -13
Step-by-step explanation:
Add or subtract the numbers
t- 24 = - 37t−24=−37
Separate the constants and variables
t = - 37 + 24t=−37+24
Add or subtract the numbers
t = - 13t
what 3 dimensional solid has a triangular cross section when cut parallel to the base and a rectangular cross section when cut perpendicular to the base?
cylinder
rectangular prism
triangular prism
triangular pyramid
A triangular prism has a triangular cross section when cut parallel to the base and a rectangular cross section when cut perpendicular to the base.
What is a 3 dimensional solid?A 3 dimensional solid is a solid with height, length and width. Examples are cylinder, cone, prism, pyramid.
A triangular prism has a triangular cross section when cut parallel to the base and a rectangular cross section when cut perpendicular to the base.
Find out more on 3 dimensional solid at: https://brainly.com/question/8774322
Can someone help having trouble solving this question
Answer:
114
Step-by-step explanation:
to get the degrees of hexagon u should know first the greatest degree so you can subtract the others from it and how to get that
by this formula (no of sides-2)*180
(6-2)*180=720
so 138+128+120+160+90=606
and the remaining angle should be 720-606
which is 114
what does length and width mean
Answer:
Step-by-step explanation:
length is how long it is and width is how wide it is
Multiple Choice. Select only one answer.
Which of the following statements could be a correct step in solving this equation:
1
- 7=
2
O
A.
1
-7=
- 12
2.1
B. 3x – 42 = 2(x - 12)
O
C. 3x – 7 = 2(x – 12)
d o
D. 3x – 7 = 2x – 12
Answer:
B
Step-by-step explanation:
Trust me my mom is a teacher
Solve for X.
X-3 - 2(6 - 2x) = 2(2x - 5)
A)
3
B)
5
C)
9
D)
11
☁️ Answer ☁️
annyeonghaseyo!
The answer is:
B - x = 5
Hope it helps!
Have a nice day hyung/noona!!~ ￣▽￣❤️
What is the value of x in the equation - 5/8 x = - 160?
Answer:
-256
Step-by-step explanation:
8/5 x 5/8x=8/5 (-160)
1/5 x 5x= 8/5 x (-160)
x= -8 x 32
x= -256
Answer:
X =1/256
Step-by-step explanation:
-5/8x = - 160
-5/-160 =8x
1/32 = 8x
X = 1 /256
Suppose the measure of B is 89 degrees. Which other angles must measure 89 degrees? How do you know?
Please help 2 7/12= ¼x
Answer:
Exact form: x=31/3
Decimal Form: x=10.¯ 3
Mixed Number Form: x=10 1/3
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Which of the following is an equation?
A. ʸ⁄₉ - 3
B. ʸ⁄₉ = 3
C. 9 - 3
Which graph represents a function?
Answer:
the bottom graph in the first photo
Step-by-step explanation:
it is a function, unlike the others, because that graph is the only one where the x values dont repeat. in order for it to be a function, the x values cannot repeat
HELP ASAP WILL GIVE BRAINLIEST
Answer:
c
Step-by-step explanation:
bu step explanatiob by 3
Answer:
(-3,-3) and (0,6)
Step-by-step explanation:
Wherever the two lines intercept, is the answer. Based on the graph, you can see that the lines intercept at (-3,-3) and (0,6).
With a measurement question built on a multiple rating list scale, ____. participants rate multiple items on a three-point scale the participant is restricted to circling their rating. the data generated are always ordinal None of the above is correct. it is possible to visualize the results better than with other numerical scales.
Answer:
it is possible to visualize the results better than with other numerical scales
Step-by-step explanation:
A rating scale is been set up extract information concerning quantitative as well qualitative attribute.
A rating scale can be regarded as
method of data collection devices in collection of comparative information about as regards a specific research subject. It do comes in form of a multiple-choice question so that values could be assigned to a product by survey respondents. multiple rating list scale gives a better and broad results and give better chance in visualizing the gotten result compare with numerical scales( numerical scale are scales that gives quantitative symbolization as regards attribute).
It should be noted that With a measurement question built on a multiple rating list scale it is possible to visualize the results better than with other numerical scales
find the mean absolute deviation {3,4,5,6,7}
Answer:
it's 1.2
Step-by-step explanation:
there's also a calculator online for mad
There are only pink, yellow, green and blue counters in a bag,
The table shows the probability that a counter taken at random from the bag
will be pink, green or blue.
Colour
Pink
Yellow
Green
Blue
Probability
0.5
0.1
0.2
(a) Work out the probability that the counter taken is yellow
There are 40 counters in the bag,
(b) Work out the number of blue counters in the bag.
CORBETTMATHS
ok
Answer:5/40
Step-by-step explanation:
beacuse u read it and answer it ,I really dont know but thats the answer