Answer:
C.
x > 22
Step-by-step explanation:
Deena has already taken 126 calls
She takes 7 calls per hour ( think slope)
y = mx+b
y = 7x+126
She needs to take at least 280 calls. So what she does must be greater than 280
280 <7x+126
We need to isolate x. The first step is to subtract 126 from each side
280-126 < 7x + 126 -126
154 < 7x
Next, we divide by 7 on each side
154/7 < 7x/7
22 < x
Elimination Method 7x=3y+45 4x+5y=19 (Show it step by step please!)
[tex]\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}[/tex]
[tex]4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}[/tex]
6,-1 this is the answer
11.REINFORCE The lengths of three sides of a triangle are 2x, 3x - 4, and x+4. Find a value of x that makes the triangle equilateral.
Answer:
x=4
Step-by-step explanation:
It suffices to equate any two sides and then check whether the solution is valid for the third side.
Taking 2x and 3x-4 and equating:
2x = 3x-4
x = 4
This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:
x+4=4+4=8
which indeed works out confirming x=4 being a valid solution
Final answer:
To determine a value for x that results in an equilateral triangle with side lengths 2x, 3x - 4, and x + 4, we equate the three expressions and solve for x, finding that x = 4 satisfies the condition of equal side lengths.
Explanation:
To find a value of x that makes the triangle equilateral, we set all three sides equal to each other because an equilateral triangle has all sides of the same length. Given the side lengths as 2x, 3x - 4, and x + 4, we can set up two equations:
2x = 3x - 4
2x = x + 4
Solving the first equation for x gives us:
2x = 3x - 4
x = 4
Solving the second equation for x gives us:
2x = x + 4
x = 4
Both equations yield x = 4 as the solution. Therefore, if x is 4, the lengths of the sides of the triangle will be 8, 8, and 8 respectively, which satisfies the conditions of an equilateral triangle.
Drag each expression to show whether it is equivalent to 8(t+8),8t +8, or neither
Answer:
Box-1:
Neither
Box-2:
[tex]8(t+8)[/tex]
Box-3:
[tex]8(t+8)[/tex]
Box-4:
[tex]8t+8[/tex]
Box-5:
Neither
Box-6:
[tex]8t+8[/tex]
Step-by-step explanation:
We can verify each box
Box-1:
[tex](8+t)+(8+8)[/tex]
we can simplify it by combining like terms
[tex]=8+t+8+8[/tex]
[tex]=8+t+16[/tex]
[tex]=t+24[/tex]
none of them matches
so, Neither
Box-2:
[tex]8t+64[/tex]
we can write as
[tex]8\times t+8\times 8[/tex]
now, we can factor out 8
[tex]8(t+8)[/tex]
Box-3:
[tex]8\cdot t+8\cdot 8[/tex]
we can factor out 8
[tex]8(t+8)[/tex]
Box-4:
[tex]4t+8+4t[/tex]
we can combine like terms
[tex]4t+4t+8[/tex]
[tex]8t+8[/tex]
Box-5:
[tex]8t+16[/tex]
we can factor common term
[tex]8\times t+8\times 2[/tex]
now, we can factor out 8
[tex]8(t+2)[/tex]
so, we can see that none are matching
so, Neither
Box-6:
[tex]4(2t+2)[/tex]
we can distribute 4
[tex]4\times 2t+4\times 2[/tex]
we can simplify it
[tex]8t+8[/tex]
simple answer
8(t+8):
(8 • t) + (8 • 8)
8t + 64.
8t + 8:
4t + 8 + 4t
4(2t + 2)
Neither:
(8 + t) + (8 + 8)
8t + 16
pls mark brainlist
Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans 129 shirts and 84 jeans 150 shirts and 75 jeans 160 shirts and 71 jeans
Answer:
150 shirts and 75 jeans
Step-by-step explanation:
s = shirts
j = jeans
12s+28j = 3900
The profit on the shirts is 70 percent so we multiply 12 by .7
12*.7 = 8.4
The profit on the jeans is 125 percent so we multiply 28 by 1.25
The profit was 3885
28*1.25 = 35
8.4s+ 35j=3885
We now have 2 equations and 2 unknowns
12s+28j = 3900
8.4*s+ 35j=3885
I am going to solve by elimination
Multiply the first equation by -.7
-.7 (12s+28j )= -.7*3900
-8.4s -19.6j=-2730
Add this to the second equation
-8.4s -19.6=-2730
8.4s+ 35j=3885
------------------------
15.4j = 1155
Divide each side by 15.4
15.4j/15.4= 1155/15.4
j = 75
Now we need to find the shirts.
We will substitute j=75
12s+28(75) = 3900
12s +2100 = 3900
Subtract 2100 from each side
12s = 3900-2100
12s = 1800
Divide by 12
12s/12 = 1800/12
s =150
write this as a algebraic expression (the quotient of 4 and a number)
Answer:
4/n
Step-by-step explanation:
An algebraic expression is in terms of variables and constants.
quotient means division
the quotient of 4 and a number
4/n
I'm really confused on this one... plz help me!
~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~°~
Consider the situation where the Robinson family is driving home from visiting their relatives The table driving a certain amount of time, x shows how many miles, y, remain after Use the table, choose all that are correct.
A) The function that models the situation is y- 325 25x
B) The function that models the situation is y- 350-50x
C) The rate of change defined by the function is 50
D) The initial value defined by the function is 350
Answer: Choice B and choice D
The function that models the situation is y = 350 - 50x
The initial value defined by the function is 350
====================================================
Explanation:
Each time you increment (increase) x by 1/2 = 0.5 an hour, the y value drops by 25. So this means that each increase of 1 full hour means y drops by 50. The rate of change is -50, not positive 50, so this rules out choice C (which is fairly close but not quite there)
The initial value is 350 because we go backwards on the table. If x decreases by 0.5 hr, then y increases by 25 miles. So we add 25 to the y value in the first row to get 325+25 = 350 as our starting value. This is how far it is from the Robinson home to their relatives' house, which is why choice D is one of the answers.
The other answer is choice B because m = -50 is the slope or rate of change, and b = 350 is the starting value (y intercept), so y = mx+b turns into y = -50x+350 and that's equivalent to y = 350 - 50x. All I did was swap the values since we can add in any order. Because choice B is the proper function, this rules out choice A as an answer.
The function that models the situation is y = 350 - 50x. The rate of change defined by the function is 50. The initial value defined by the function is 350.
Explanation:The function that models the situation is y = 350 - 50x.
B) The function that models the situation is y = 350 - 50x.
C) The rate of change defined by the function is 50.
D) The initial value defined by the function is 350.
To determine the function that models the situation, we can use the table provided.
The table represents the relationship between the amount of time, x, and the remaining distance, y, after driving for that amount of time.
Since the remaining distance decreases as the amount of time increases, we can conclude that the function is a linear function with a negative slope.
The slope represents the rate of change, which is the amount by which y decreases for each unit increase in x.
In this case, the rate of change is 50, meaning that for every hour of driving, the remaining distance decreases by 50 miles.
The initial value of 350 represents the distance remaining when no time has passed (x = 0).
This means that when the family starts their drive, they have 350 miles left to travel.
Therefore, option D is correct.
How do I divide 4 digit by 1 digit
Answer:
long division
Step-by-step explanation:
3000/3= 1000
Answer:
Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.
Step #1. Observe how many digits the divisor has.
In our example, the divisor has 3 digits.
Step-by-step explanation:Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.
Step #1. Observe how many digits the divisor has.
In our example, the divisor has 3 digits. Step #2. In the dividend, start with the same number of digits that you found in Step #1.Step #3. Compare the 3 digits from the dividend and divisor.
If the dividend’s number is greater, we can begin dividing. In our example, we see that 389 is greater than 125, so let’s get started!
If the dividend’s number is less than the divisor, we must use another digit from the dividend. We’ll look at an example of this situation at a different time.
Step #4. Divide the dividend’s numbers by the divisor’s numbers.
Divide the dividend’s first number (which is 3 in our example) by the divisor’s first number (1). 3 by 1 is 3. Then, we multiply our divisor (125) by 3 and see that it fits in (in other words, that it’s less than) the dividend’s 3 numbers. So, we place the result underneath the dividend’s 3 digits and subtract.
if D is the midpoint of line AC, C is the midpoint of line AB, and BD=12, what is the length of line AB
Look at the picture.
x + 2x = 12
3x = 12 divide both sides by 3
x = 4
AB = 12 + x
therefore AB = 12 + 4 = 16
Answer: AB = 16.The sum of the digits of the number 2016 is 9.What is the least number greater than 2016 whose sum of the digits is 9
Answer:
2025 if Im not wrong...
Step-by-step explanation:
a corn vendor at a farmers market was selling a bag of 8 eara of corn for $2.56. Another vendor was selling a bag of 12 for 4.32. Wuch bag is the better deal?
Answer: The first vendor AKA the 8 ears for $2.56
Step-by-step explanation:
You have to take the 8 and figure out how much you are being charged for each 2.56 divided by 8 is .32, so each ear is .32 cents per ear, and the second vendor is 4.32 divided by 12 which is .36, so each ear is .36 cents. so technically the first vendor has cheaper corn.
What are the quotient and remainder of (3x^4-2x^3+7x-4)/(x-3)
Answer: Remainder: 206
Quotient: 3x³+7x²+21x+70 + [tex]\frac{206}{x-6}[/tex]
Step-by-step explanation: You can either use long division or synthetic division. I will use synthetic division: 3 | 3 -2 0 7 -4... the remainder is 206 and the quotient is 3x³+7x²+21x+70 + 206/x-6
The remainder is 206 and the quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) /(x - 3)
What is quotient in a division?A result obtained by dividing one quantity by another is called a quotient.
What is remainder in a division?Remainder is the value left after the division.
How to find the quotient and remainder of the division?We know that, if (x - h) divides a function f(x) then f(h) is the remainder.∴ Here the remainder will be putting x = 3 in the dividend.
So, remainder = [tex]3(3)^{4} - 2(3)^{3} + 7(3) - 4[/tex] = 206
We can get the quotient by the quotient remainder rule which saysin a division, dividend is equal to divisor multiplied by quotient plus remainder.
Let the quotient be Q(x)
Here, we can write,
[tex]3x^{4} - 2x^{3} + 7x -4[/tex] = (x - 3)Q(x) + 206
⇒ Q(x) = ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)
So, the required quotient is ([tex]3x^{4} - 2x^{3} + 7x -4[/tex] -206) / (x - 3)
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Which situation is best represented by the following equation? 40w + 12.50 = 492.50
Answer:
Step-by-step explanation:
She paid $40 each week, hence the "w" next to 40. She then paid $12.50 so both $40w and $12.50 would equal to $492.50. So she paid $492.50 in all for the class.
Now the w would equal, 12. Multiply 40 x 12 and it'd equal 480.
Then you add the additional $12.50 she paid for the registration & it'd equal to $492.50.
Hope That Helps!
To solve for w in the equation 40w + 12.50 = 492.50, subtract 12.50 from both sides of the equation and then divide both sides by 40.
Explanation:To solve for w, we need to isolate it on one side of the equation. We can do this by subtracting 12.50 from both sides of the equation:
40w + 12.50 - 12.50 = 492.50 - 12.50
This simplifies to:
40w = 480
Next, divide both sides of the equation by 40:
w = 480 / 40
w = 12
Therefore, the equation represents a situation where w is equal to 12.
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(In terms of pi )what's the surface area of a cylinder with a 14cm diameter and a heigth of 18cm.
ive done the math and got 1099 or something but that isnt one of the options on my assignment.
Answer:
= 1099 cm^2
Step-by-step explanation:
The surface area of a cylinder is found by using the formula
SA=2πrh+2πr^2
We know the diameter. To find the radius, we take the diameter and divide by 2.
r =d/2
r =14 cm/2 = 7 cm
h = 18 cm
Substituting what we know
SA = 2 * pi * 18 * 7 + 2 * pi * (7)^2
= 252 *pi + 2* pi *49
= 252 pi + 98 pi
= 350 * pi
Let pi be approximated by 3.14
SA = 350 * 3.14
= 1099 cm^2
Plz help I need this by today
Answer:
the answers are below
Step-by-step explanation:
I don't know which one you needed help on
First one: 128x=96 --> x=3/4 so 96 is 75% of 128
Second one: 7^2=49, then use distributive property for the second part (3*5.2) and (3*-2.8)---> 49+15.6-8.4= 56.2
Third one: find the greatest common factor between 7x and 56 (it is 7 since seven can go into 56)---> 7(x+8)
y=3x, is this in standard form? And if not can i get an explanation on why not?
Answer: i would say no
Step-by-step explanation:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
Ax+By=C
Since x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
3x=y
Move y
to the left side of the equation because it contains a variable.
3x−y=0
Answer:
no but see explanation
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange y = 3x into this form
subtract y from both sides
0 = 3x - y, hence
3x - y = 0 ← in standard form
Please answer quickly
Consider the function f(x)=−2/3x+5 .
What is f(−1/2) ?
Enter your answer as a simplified fraction.
Answer:
[tex]\frac{16}{3}[/tex]
Step-by-step explanation:
To evaluate substitute x = - [tex]\frac{1}{2}[/tex] into f(x)
f( - [tex]\frac{1}{2}[/tex])
= - [tex]\frac{2}{3}[/tex] × - [tex]\frac{1}{2}[/tex] + 5
= [tex]\frac{1}{3}[/tex] + 5
= [tex]\frac{1}{3}[/tex] + [tex]\frac{15}{3}[/tex] = [tex]\frac{16}{3}[/tex]
how many points of intersection are there between line A and line B if they contain points listed?
Line A: (-4,9) and (0,-3)
Line B: (4, -9) and (0, 3)
a. zero
b. one
c. two
d. infinite
Answer:
Zero
Step-by-step explanation : If you plot the points on a graph, you would notice they have the same slope but different y intercepts. This means they are Parallel lines and have no slope (Or Zero slope). Hope this helps!
The lines are parallel and will never intersect, so the answer is zero points of intersection.
Explanation:First, we can determine the slopes of the two lines. Line A has a slope of (change in y)/(change in x) = (-3 - 9)/(0 - (-4)) = -12/4 = -3. Line B has a slope of (3 - (-9))/(0 - 4) = 12/(-4) = -3. Since the slopes are equal, the lines are parallel and will never intersect. Therefore, the answer is a. zero points of intersection.
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You and three of your friends go out to dinner during the break.the check comes to 131.85$ you all decide to leave a 20% tip for the friendly server calculate the amount of tip
Answer:
$105.48
Step-by-step explanation:
Multiply 131.85 by 0.2 to get 20% of 131.85.
You will get 26.37.
Since it is 4 people, multiply by 4.
You will get $105.48.
Answer: $105.48
Step-by-step explanation: If the check is $131.85, all you have to do is multiply that by .2 and you get $26.37, but since there are four friends you would have to multiply that by 4 to get the result $105.48.
use the distributive property to find the missing numbers 4 x (3 + 7) = (4 x ?) + (4 x ?)
Answer:
4 x (3+7) = (4 x 5) + (4 x 5) => 40= 20+20
Step-by-step explanation:
12+28=>40=(4 x 5) + (4 x 5)
The doctor orders2cc of 2% lidocaine to be use as a loca anesthetic how many milliliter s will you draw
one may note that 1 CC, Cubic Centimeter, or 1 cm³, is actually equivalent to 1 mL, milliliter.
so 2 cc = 2 mL.
Answer:
2 mL
Step-by-step explanation:
Here cm³ and mL are units of volume i.e., the three dimensional space enclosed by plane surfaces. m³ is the SI unit of volume. Liter (L) is also an accepted unit where
1 L = 0.001 m³
So 1 ml = 0.001 × 10⁻³ m³
1 mL³ = 10⁻⁶ m³ (1)
1 m³ = 10⁶ cm³
1 cm³ = 10⁻⁶ m³ (2)
From equation 1 and 2
1 mL = 1 cm³
1 mL = 1 cc
2 cc = 2 Cubic centimeter = 2 cm³
1 cc = 1 mL
So,
2 cc = 2 mL
What could be the next statement that Ivan makes his proof?
Answer: Choice A) Triangle ABC is similar to triangle ACD by AA
AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".
For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.
We can't use AAS because we don't know any information about the sides of the triangle.
Write an equation that represents the line.
Use exact numbers.
The calculated equation of the line is y = 3/4x - 4.5
How to determine the equation of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
m = slope
Using the above as a guide, we have the following:
m = (-6 + 3)/(-2 - 2)
m = 3/4
So, we have
y = 3/4x + c
Using the points, we have
3/4 * 6 + c = 0
Evaluate
c = -4.5
So, we have
y = 3/4x - 4.5
Hence, the equation is y = 3/4x - 4.5
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Y=x+3 and y=3x+6 system of substitution
[tex]\left \{ {{y=x+3} \atop {y=3x+6}} \right. \\\\ \left \{ {{y=x+3} \atop {3x+6=x+3}} \right. \\\\\left \{ {{y=x+3} \atop {3x-x=3-6}} \right. \\\\\left \{ {{y=x+3} \atop {2x=-3\ /:2}} \right. \\\\\left \{ {{x=-1.5} \atop {y=-1.5+3}} \right. \\\\\left \{ {{x=-1.5} \atop {y=1.5}} \right.[/tex]
[tex]\left\{\begin{array}{ccc}y=x+3&(*)\\y=3x+6&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\x+3=3x+6\qquad\text{subtract 3 from both sides}\\\\x=3x+3\qquad\text{subtract 3x from both sides}\\\\-2x=3\qquad\text{divide both sides by (-2)}\\\\\boxed{x=-1.5}\\\\\text{Put the value of x to}\ (*)\\\\y=-1.5+3\\\\\boxed{y=1.5}\\\\Answer:\ \boxed{x=-1.5\ and\ y=1.5\to(-1.5;\ 1.5)}[/tex]
factor the expression using GCF 16p - 8
Answer:
8(2p-1)
Step-by-step explanation:
To factor the expression, we need to factor the terms
16p = 8*2*p
8 = 8*1
We can factor out an 8, leaving what remains inside the parentheses
16p-8
8(2p-1)
In simplest form
2/5 x 3/7
Answers
A. 14/15
B.5/12
C. 6/35
D. 1/5
9/10x5/7
Answers
A. 1 13/50
B. 9/14
C. 14/17
D.4/7
Jennys lawn is 1/3 of an acre. After mowing 1/2 of the lawn, how much of an acre has she mowed?
Answers
A. 1/5
B. 1/6
C. 1/2
D. 2/5
A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water has leaked out of the bucket?
Answers
A. 1/4
B.2/3
C. 3/8
D. 3/16
Mike plans to run 7/8 mile. He begins running, but 2/3 of the way he pulls a hamstring muscle. What fraction of a mile did he run?
Answers
A. 7/12
B. 14/25
C. 10/11
D. 7/11
Answer:
1. C
2. B
3. B
4. C
5. A
Step-by-step explanation:
1. 2/5 times 3/7 equals 6/35 and cannot be simplified
2. 9/10 times 5/7 equals 45/70 or 9/14
3. 1/3 times 1/2 equals 1/6
4. 3/4 times 1/2 equals 3/8
5. 2/3 of 7/8 equals 7/12
for his phone service John pays a monthly fee of $13 and he pays an additional $0.06 per minute of use the least he has been charged in a month is $73.96
what are the possible numbers of minutes he has used his phone in a month. Use M for the number of minutes and solve your inequality for M
Answer:
m ≥ 1016
Step-by-step explanation:
13+0.06M≥73.96
0.06M ≥ 60.96
m ≥ 1016
What are the slope and y-intercept of the graph of y=−13x+1 ? A. slope: −13; y-intercept: 1 B. slope: 13; y-intercept: −1 C. slope: 1; y-intercept: −13 D. slope: 13; y-intercept: 1
Answer:
The correct answer is A) slope: -13 Intercept: 1
Step-by-step explanation:
When you have something in slope-intercept form, the slope is always the coefficient of x, which in this case is -13.
The intercept is always the constant at the end of the equation, which in this case is 1.
Answer:
a)
Step-by-step explanation:
what is 20 multiplied by 3 1/5
Answer:
64
Step-by-step explanation:
20 x 3.2=64
16/5=3.2
replacing the 3 1/5 with 3.2 making it easier to do the math
Answer:
The answer is 64
Step-by-step explanation:
What to do is this.
Turn 3 1/5 into a improper fraction and it will look like this 16/5
Now do 20/1 times 16/5 and you will get 64
there are 18 oranges in box A and 36 in box B. What is the ratio of the oranges in Box A to Box B?
Answer:
hello there the answer is 36:18
Step-by-step explanation:
because it dosent matter which number is bigger it matters about the oder they ask to put it in and in this case a to b =36to18
Hey there!
[tex]\boxed{BoxA: 18}[/tex]
[tex]\boxed{BoxB:36}[/tex]
You could have your [tex]ratio[/tex] to look like this: [tex]18:36[/tex] (most likely going to be your answer if you are looking for the ratio of the number)
BUT if you're trying to solve your [tex]ratio[/tex] then....Both terms go into [tex]18[/tex], [tex]9[/tex], and [tex]2[/tex]
[tex]\frac{18}{2}[/tex] [tex]= 9[/tex]
[tex]\frac{36}{2} = 18[/tex]
[tex]\boxed{9:18}[/tex]
[tex]\frac{18}{9} = 2[/tex]
[tex]\frac{36}{9} = 4[/tex]
[tex]\boxed{2:4}[/tex]
[tex]\frac{18}{18} = 1[/tex]
[tex]\frac{36}{18} = 2[/tex]
[tex]\boxed{1:2}[/tex]
Answer: [tex]\boxed{36:18}[/tex] or [tex]\boxed{18:36}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
In an experiment, a student randomly chooses an answer to two multiple-choice questions. The first question has 4 answers to choose from, and the second question has 5 answers to choose from. How many outcomes are in the sample space? Enter your answer in the box.
Answer:
20
Step-by-step explanation:
Since you have 2 different questions to gather outcomes from, you multiply the amount of choices each has. Obviously, 4 * 5 = 20 so the answer is 20.
Using it's concept, it is found that there are 20 outcomes in the sample space.
The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the first question, there are 4 possible outcomes.For the second question, there are 5 possible outcomes.The outcomes in the first question are independent of the outcomes in the second question, hence there are 4 x 5 = 20 outcomes in the sample space.
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