Answer:
i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
ii. Remaining people would pay $10 each.
Step-by-step explanation:
Total number of people involved = 6
Total bill of their lunch = $72
Mary and Josephine paid = $20 + $12
= $32
The remaining bill to be paid = $72 - $32
= $40
The rest of the group = 4
Splitting the remaining bill equally,
the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
= ($40) ÷ 4
= $[tex]\frac{40}{4}[/tex]
= $10
The amount that each of the remaining people would pay is $10.
Alexa is driving on the freeway. She passed mile marker 400. The fastest she will drive is 65 mph, though there is a bit of traffic that might slow her down a bit, but she doesn't know exactly how much. The mile markers are increasing on her route. Write an equality that represents alexa’s speed
Answer:
she might go 50mph
Step-by-step explanation:
Leslie has a box of markers. There are 3 black,
4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5
green markers. Create a sample space of possible
outcomes for choosing a marker. Is this a simple or compound event?
Answer:
Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}
Simple event
Step-by-step explanation:
Sample space is a list of all the possible outcomes.
This is a simple event because you are only doing one event, such as choosing marbles from a bag.
A compound event would be multiple simple events, such as flipping a coin and rolling a dice.
A triangle has vertices on a coordinate grid at L(9,7)L(9,7), M(9,-8)M(9,−8), and N(1,7).N(1,7). What is the length, in units, of \overline{LM} LM ?
Answer:
LM = 15 units
Step-by-step explanation:
Vertices of ΔLMN are,
L(9, 7), M(9, -8), N(1, 7)
By using formula to get the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore, distance between vertices L and M,
LM = [tex]\sqrt{(9-9)^2+(7+8)^2}[/tex]
LM = 15 units
HURRY NEED HELP ASAP
The following information is known about a loan.
Time = 8 years
Interest rate = 14%
Principal = $1,010
What is the total amount of simple interest that is earned?
$113.20
$1,131.20
$11,311.20
$113,112.00
Answer:
1,131.20
Step-by-step explanation:
I=prt
1,010*0.14*8
15 of 20 answer
You and your friend fill 20 bags with leaves. The ratio of bags you filled to bags your friend filled is 2 to 3. Use the tape diagram to find how many bags
you filled
You
Your friend
You filled
bags
Answer:
8 bags
Step-by-step explanation:
You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.
Natalie had 20 lbs. of cat food. If she feeds
her cat 6 of a pound daily, how many days
will the food she has last?
Answer:
3 days
Step-by-step explanation:
20/6 is 3.333
Answer:
3 days
Step-by-step explanation:
cuz after three days you will have two pounds left so you cant go another day
what is 2y-x=-4 in slope intercept form
Answer:
y= -1/2x - 2
Step-by-step explanation:
To change standard form to slope intercept form, bring the -x to the other side of the equation.
You'll have 2y=-4-x. Since there is no number on the -x, put a 1 on the front of it. (Not necessary). You'll have 2y= -4 -1x
Make y stand on its own. Divide the other side by 2.
You will end up with y= -1/2x -2
eu preciso de ajuda pfvr:(
Plz help I am bad at this
Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.
Answer:
-117/640
Step-by-step explanation:
ba + cd
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
Hence it can be calculated as follows
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
Answer: -2 11/20
Step-by-step explanation I did this and it is correct
helppp ! please and thank you
Answer:
1/16 hope this helps you
The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?
Answer:
197.095
Step-by-step explanation:
Mean, m = 219 ft²
Standard deviation, s = 32.5 ft²
For a bedroom to be among the smallest 25%
P(x < Z) = 0.25
From Z probability calculator, this corresponds to a Zscore of - 0.674
Recall :
Zscore = (x - m) / s
x = bedroom size
-0.674 = (x - 219) / 32.5
-0.674 * 32.5 = x - 219
-21.905 = x - 219
x = - 21.905 + 219
x = 197.095
Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095
if a mom has 6 kids and i kidnapped 2 how many kids does she have left? ;) just asking
Answer:
what if i took the 4 other ones??
Answer:
4 kids
Step-by-step explanation:
6 minus 2 equals 4. it one easy qusation
2/5p-3.11=1.13
what is p
2p-4+16=5p-9
-3p-4+16=-9
-3p-4=16+-9
And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.
Did this help?The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)
Answer:
XY = 13 cm
Step-by-step explanation:
Area of a triangle formula:
area = base × height / 2
a = bh / 2
Plug numbers into equation:
32.5 = b × 5 / 2
Multiply both sides by 2 to isolate the variable
65 = b × 5
Divide both sides by 5 to isolate the variable
13 = b
Check your work:
32.5 = 13 × 5 / 2
32.5 = 65 / 2
32.5 = 32.5
Correct
Answer:
13
Step-by-step explanation:
Area=½×b×h
32.5=½×b×5
32.5=5/2b
To get be multiply each side by reciprocal of 5/2 which is 2/5
b =13
Marcus has 3/4 of and 8-piece pizza left over from last night. He eats 1/3 of the left over pizza for a snack. How much of the original pizza is left after his snack?
Answer:
1/3 of the pizza remains.
Step-by-step explanation:
Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza. The amount of pizza left is
1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3
1/3 of the pizza remains.
y = 100 - 8.9x percent
2.3
Write the ratio in its simplest form:
Convert
2 m : 8cm: 40mm
Answer:
1:20:500
Step-by-step explanation:
2m:8cm:4mm
Convert the three to a single unit, take mm giving 2000:80:4
In its simplest form 500:20:1=1:20:500
If ε = {whole numbers less than 50 but greater than 20} and X = {perfect squares}, Y = {factors of 12}, Z = {prime numbers}; find the following:
a) X ∪ Y
b) X ∩ Y
c) X ′
d) X′ ∩ Y ∩ Z
Answer:
A. X∪Y = {25, 36, 49}
B. X∩Y = ∅ i.e empty set
C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}
D. X′∩Y∩Z = ∅
Step-by-step explanation:
We'll begin by determining the universal set (ε), set X, set Y and set Z.
This can be obtained as follow:
ε = {whole numbers less than 50 but greater than 20}
ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}
X = {perfect squares}
X = {25, 36, 49}
Y = {factors of 12}
Y = ∅ i.e empty
Z = {prime numbers}
Z = {23, 29, 31, 37, 41, 43, 47}
A. Determination of X∪Y
X = {25, 36, 49}
Y = ∅
X∪Y =?
X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.
X∪Y = {25, 36, 49}
B. Determination of X∩Y
X = {25, 36, 49}
Y = ∅
X∩Y =?
X∩Y => elements common to both set X and Y
X∩Y = ∅ i.e empty
C. Determination of X′
ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}
X = {25, 36, 49}
X' =?
X' => elements in the universal set but not found in set X.
X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}
D. Determination of X′∩Y∩Z
X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}
Y = ∅
Z = {23, 29, 31, 37, 41, 43, 47}
X′∩Y∩Z =?
X′∩Y∩Z => elements common to set X', Y and Z
X′∩Y∩Z = ∅
What is the area of this composite figure??
Answer=53
Step-by-step explanation:
What is the volume of a cylinder,in cubic feet,with a high of 5 feet in a base diameter of 10 feet?Round to the nearest tenth place
Answer:
390.7ft³ is the answer
The average temperatures for two of the world's hottest places are given. Determine which location has the warmer average temperature and by how many degrees fahrenheit. Location A: 86.7 F and Location B: 30.1 C
Answer: City A, [tex]0.28^{\circ}C[/tex]
Step-by-step explanation:
Given
The temperature of city A is [tex]86.7\ ^{\circ}F[/tex]
The temperature of city B is [tex]30.1^{\circ}C[/tex]
We know, [tex]32^{\circ}F=0^{\circ}C[/tex]
So, [tex]86.7^{\circ}F=30.38^{\circ}C[/tex]
[tex]30.38>30.1[/tex]
Clearly, the average temperature of city A is more than city B
The difference in temperature is [tex]30.38-30.1=0.28^{\circ}C[/tex]
у = - 2х
y = 8x — 10
Answer:
(1,-2)
Step-by-step explanation:
The pic above the answer is how I got my answer. if you need to show your work you can use that
What is the closure property of multiplication for rational
expressions? Explain why rational expressions are
closed under multiplication.
Answer:
Sample Response: The closure property of multiplication for rational expressions states that the product of two rational expressions is a rational expression. Since the variable in a rational expression just represents a number, and the closure property holds true for multiplication of rational numbers, it also holds true for multiplication of rational expressions for values for which the expressions are defined.
Step-by-step explanation:
Chapter 7 need help ASAP
Answer:
The answer should be that Q is (-3,-2)
Step-by-step explanation:
Find the area of the following trapezoid.
14
7
5
Answer:
option b 66.5u square is the correct ans
HELPEOEODODOEKEKEL PLEASE
Answer:
Lily earns $225
y represents the amount that Lily earns
x represents the painting's price
Step-by-step explanation:
Find the value of x. Round to the nearest tenth of a unit. 203 m 22° O A. 82.0 m O B. 218.9 m O C. 502.4 m O D. 541.9 m
Answer: 502.4 m
Step-by-step exp
Answer: C or 502.04
Step-by-step explanation: took the practice got 100%
An item is regularly priced at $30. It is now priced at a discount of 30% off the regular price. What is the price now?
PLEASE I NEED URGENT HELP!!!!! lan and Jessica each save their quarters. Ian starts out with 34 quarters and saves 8 quarters a month. Jessica starts out with 2 quarters and saves 16 quarters a month. In how many months will Jessica have the same number of quarters as lan? How many quarters will each of them have?