Answer: c. R OR E
e. R′
f. E
Step-by-step explanation:
Outcomes for Red card ={1,2,3,4,5,6} = 6
Outcomes of Blue card = {1,2,3} =3
R = event of drawing a red card, B = event of drawing a blue card, E=event of drawing an even numbered card, and O = event of drawing an odd card.
Then, R= {1R,2R,3R,4R,5R,6R} , B= {1B,2B,3B}
E={2R, 4R, 6R , 2B}
O = {1R, 3R, 5R, 3B}
R or O = { 1R,2R,3R,4R,5R,6R ,3B} [all elements of R and O]
B and O = {3B} [all elements common in B and O]
R or E = {1R,2R,3R,4R,5R,6R,2B }
R and O = {1R, 3R, 5R} [all elements common in R and O]
R' = B= {1B,2B,3B} [all elements except R]
Blue 2 = 2B belongs to B, R or E, R' and E.
Correct options are c. e. f.
Answer:
Blue 3
E'
B AND O
Step-by-step explanation:
Which graph represents the compound inequality?
n<-2 or n 24
5 4 3 -2 -1 0
1
2 3 4 5
54-3-2-1
0
1
5
0
1
2
3
4
o
1
2
3
4
5
Answer:
The right number line is the third one
Step-by-step explanation:
it matched with the equations
Answer: its the 3rd one open circle on -2 and move to the left. closed circle on 4 move to the right.
Step-by-step explanation:
yea
If 1,200 students participated in the survey, how many rated the cafeteria food “poor”?
200 students
300 students
400 students
600 students
Answer:
The answer is 300
Answer:
300 students
Step-by-step explanation:
hope this helps!
Which statement explains why the two systems of equations below have the same solution
Answer: "B"
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.
The first equation B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2 hence, the correct option is second.
What is a system of equations?An equation is an expression that shows the relationship between two or more numbers and variables.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given the system of equation as;
A, { 6x + 8y = -10}
{2x - 5y = 12}
B, {8x + 3y = 2}
{12x + 16y = -20}
If we add the first two equations that shown in A, then;
6x + 8y + 2x - 5y = -10 + 12
8x + 3y = 2
Now the first equation in A would be multiplied by 2, So
2(6x + 8y = -10)
12x + 16y = -20
Therefore, the correct option is Option B.
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20 POINTS
Sam walked for 30 minutes more than Jessica. Courtney walked twice as long as Sam. Courtney walked for 80 minutes. The equation 2(x + 30) = 80 describes this situation.
What does 2(x + 30) represent?
Group of answer choices
the number of minutes that Jessica walked
The number of minutes that Sam walked
The number of minutes that Courtney walked
The total number of minutes the girls walked combined
Answer:
EXAMPLE
Pete bought a shirt on sale for $
18
18, which is one-half the original price. What was the original price of the shirt?
Solution:
Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.
In this problem, do you understand what is being discussed? Do you understand every word?
Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!
In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.
Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.
Let
p
=
p= the original price of the shirt
Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.
The top line reads:
Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.
Write the equation.
18
=
1
2
p
18=12p
Multiply both sides by 2.
2
⋅
18
=
2
⋅
1
2
p
2⋅18=2⋅1
Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.
Let
p
=
p= the original price of the shirt
Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.
The top line reads:
Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.
Write the equation.
18
=
1
2
p
18=12p
Multiply both sides by 2.
2
⋅
18
=
2
⋅
1
2
p
2⋅18=2⋅12p
Simplify.
36
=
p
36=pStep 6. Check the answer in the problem and make sure it makes sense.
We found that
p
=
36
p=36, which means the original price was
$36
$36. Does
$36
$36 make sense in the problem? Yes, because
18
18 is one-half of
36
36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.
The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was
$36
$36.”
If this were a homework exercise, our work might look like this:
The top reads,
TRY IT
Step-by-step explanation:
#CarryOnLearning
A ball rolls 12 meters in 3 seconds. What is its speed?
Step-by-step explanation:
speed = distance/time
= 12/3 m/s
= 4 m/s
4
V = s/t
= 12/3
=4
S = move
T = time
V = speed
how do i the find the slope?
(btw i know how to do [m=change in y and x] thingy, but i just cant seems to get the right answer.)
Step-by-step explanation:
[tex]x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know[/tex]
Which product shows the decimal placed correctly?
0.18 x 0.15
A) 0.00027
B) 0.0027
C) 0.027
D) 0.27
Answer:
The answer is c. 0.027.
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.18*0.15=0.027 choice C
Please help.......................
Answer:
1
Step-by-step explanation:
Don't worry I just know
The line that goes horizantally (left to right) across the graph is called what? *
Step-by-step explanation:
horizontal line I believe
Which of the following correctly shows the quotient of 55 divided by5 ?
Answer:
Quotient is 11
Step-by-step explanation:
In this question, we need to find the quotient of 55 divided by 5. In this case, 5 is divisor, 55 dividend. Let Q be the quotient of this.
On dividing 55 by 5, the quotient of this sum is 11. In this case, remainder is 0.
We know that,
11 × 1 = 11
And 11 × 5 = 55
So, the quotient in this case is 11. Hence, this is the required solution.
Have A Wonderful Day !!
Estimate the values of x when y=1
Step-by-step explanation:
if one were to put the y value the equation they could find out what x is for a certain value of y
putting the value of y(1), we get the equation
1=4x-1
2=4x
x=0.5
the value of x when y is 1 is =0.5
NOTE: I got this explanation on brainy on someone else I am not taking the credit
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
What is Linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The function is,
y = 4x - 1
Now, The graph of function y = 4x - 1.
And, At y = 1;
By the graph the value of x = 1/2.
And, In mathematically;
At y = 1
The value of x is;
y = 4x - 1
1 = 4x - 1
4x = 2
x = 2/4
x = 1/2
Thus,
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
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Find the measure of angle YTG
Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answer:
[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope
Step-by-step explanation:
Given
Perpendicular to [tex]y = 4x[/tex]
Required
Determine its equation
The general form of an equation is:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 4[/tex]
Next, we calculate the slope of L.
Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
The equation of L in slope intercept form is: [tex]y = mx + c[/tex]
Substitute -1/4 for m
[tex]y = -\frac{1}{4}x + c[/tex]
In point slope form, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute -1/4 for m
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
PLS HELP. Find the value of each variable.
6. x=100
7.x=75
8.x=30
10.x=112
11.x=58 y=58
Answer:
6) x = 70°
7) x = 75°
8) x = 30°
10) x = 112°
11) x = 58° , y = 58°
Step-by-step explanation:
6) two congruent sides means two congruent angles
x + x + 40 = 180 2x = 140
7) two congruent sides means two congruent angles
both base angles measure 75 degrees
8) isosceles triangle (has two equal sides) 75(2) + x = 180 150 + x = 180
10) two congruent angles means two congruent sides
44 + 2n = 180 2n = 136 n = 68
angles n and x form a linear pair and equal 180
180 - 68 = 112
11) isosceles triangle so ∡x = ∡y 64 + x + x = 180
64 + 2x = 180 2x = 116 x = 58
write the slope of x+2y=16 pls help fast
Answer: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.
[tex]x+2y=16[/tex] [subtract both sides by x]
[tex]2y=-x+16[/tex] [divide both sides by 2]
[tex]y=-\frac{1}{2}x+8[/tex]
Now, we know that [tex]m=-\frac{1}{2}[/tex]. That tells us [tex]-\frac{1}{2}[/tex] is the slope.
Step-by-step explanation:
x+2y=16
-× -×
2y=-x+16
÷2. ÷2
y=-1/2x+8
slope is -1/2
Which answer is the most reasonable to estimate 448.3 ÷ 51.3?
Answer:
9
Step-by-step explanation:
450/50
need help plzzzzzxsss
PLEASE HELP DOING PLATO!!! AABC transforms to produce AA'BC. Which transformation did NOT take place?
Answer:
Option D
Step-by-step explanation:
From the picture attached,
Coordinates of point C → (1, 3)
Coordinates of point C'→ (-1, -3)
Option A.
rotation 180° counterclockwise about the origin.
Rule for the rotation is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True
Option (B)
Reflection across the origin
Rule for the reflection is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True
Option C
Rotation 180° clockwise about the origin
Rule for the rotation is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True.
Option D
Reflection across the line y = -x
Rule for the reflection,
(x, y) → (-y, -x)
By this rule,
C(1, 3) → C'(-3, -1)
False.
Therefore, Option D will be the answer.
PLZ HELP WILL GIVE V=BRIANLYEST
i also agree to this question
Answer:
i also agree to this question
Step-by-step explanation:
deb Found 56 tulips for $8. Please help Deb figures out the ratio
Answer: 7:1
To find the unit rate or unit ratio, divide 56 by 8.
56/8 = 7.
So, per 7 tulips it costs 1 dollar, or $1.
So the ratio, 7:1 represents this problem.
Write in lowest terms:
4rs2/(6s)
Answer:
2rs/3
Step-by-step explanation:
A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?
Answer:
D
Step-by-step explanation:
Do all of these PLEASE
Answer:
9= .8
10= .2
11= 4
12= 1/3
13= -2
14= -2/3
cant do 15 no draw tool
part 2
1. 10
2. -5
3. -5
4. -13
5. -2
6. .5
7. 4
8. -2
Which equation is graphed below?
Hope it will help you
Use equivlant ratios 7/= 21/27
Answer:
7/9 = 21/27 hope this helps
Step-by-step explanation:
A population of rabbits on a farm grows by 12% each year. Assume that this increase occurs as new baby rabbits at the beginning of each new year. Define a sequence {rn} describing the rabbit population at the beginning of each year. Suppose that the sequence starts with r1 = 30. for the first year. As the sequence is a model for the actual population, we accept fractional numbers in the sequence. (a) Determine r12. Determine a formula for rn, for general n. (b) If each rabbit consumes 10 pounds of rabbit food each year, then how much rabbit food is consumed during the 10th year? How much rabbit food is consumed in total for the 1st through 10th years? Express this as a summation and as an exact number.
Answer:
a) r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
- rabbit food consumed during the 10th year is approximately 832 pounds
- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
Step-by-step explanation:
Given that:
r1 = 30 and a farm grows by 12%
a = 30 and the common ratio r = 1.12
now
n r
1 30.00
2 33.60
3 37.63
4 42.15
5 47.21
6 52.87
7 59.21
8 66.32
9 74.28
10 83.19
11 93.18
12 104.36
Therefore r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
if each rabbit consume 10 lbs of rabbit food each year
n r food consumed(lbs)
1 30.00 300
2 33.60 336
3 37.63 376
4 42.15 422
5 47.21 472
6 52.87 529
7 59.21 592
8 66.32 663
9 74.28 743
10 83.19 832
total 5265
Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds
And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
b. How much information could be transmitted in 30,000 packets?
Answer:
45'000,000 45 million
Step-by-step explanation:
solve the question below, please
Answer:
carios has greater angle
Step-by-step explanation:
hope this helps
Ernesto has already baked 3 pies, and he can bake 2 pies with each additional cup of sugar
he buys. Write an equation that shows the relationship between the additional cups of sugar
x and the number of pies y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
igcwochcd chocho dhvohov dochvo
PLEASE HELP ASAP
A drug researcher decides to test a new arthritis pain medication for safety
and effectiveness on a treatment group of 17 severely disabled arthritis
sufferers in a hospital ward. For the safety portion of the study, the same drug
will be administered to 17 healthy volunteers from the hospital staff. The
experiment will be repeated with the same experimental design at a number
of other hospitals and outpatient clinics across the country,
Which of the following principles of experimental design are being followed?
Check all that apply.
A. Replication
B. Control
I C. Blindness
D. Blocking
E. Randomization