8. Abby went to Olive Garden over the weekend and her bill came out to $23.90. She
decided to tip the waiter 22% for the great service. How much was her total bill? *
1. How far is Supermarket A from your house? (Round of your answer to the nearest whole number)
2. How far is Supermarket B from your house? (Round of your answer to the nearest whole number)
3. How far are the supermarkets from each other? (Round of your answer to the nearest whole number)
Answer:
13meters far from the supermarket
The distance between Supermarket A and Supermarket B is 35 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
From the given coordinate plane, Supermarket A is at (12, 9), House is at (0, 0) and Supermarket B at (-16, -12).
1) Distance between Supermarket A and your house is
Substitute (x₁, y₁)=(12, 9) and (x₂, y₂)=(0, 0) in distance formula, we get
Distance = √[(0-12)²+(0-9)²]
= √144+81
= √225=15 units
2) Distance between Supermarket B and your house is
Substitute (x₁, y₁)=(-16, -12) and (x₂, y₂)=(0, 0) in distance formula, we get
Distance = √[(0+16)²+(0+12)²]
= √256+144
= √400=20 units
3) Distance between Supermarket A and Supermarket B is
Substitute (x₁, y₁)=(-16, -12) and (x₂, y₂)=(12, 9) in distance formula, we get
Distance = √[(12+16)²+(9+12)²]
= √28²+21²
= √1225=35 units
Therefore, the distance between Supermarket A and Supermarket B is 35 units.
To learn more about the distance formula visit:
brainly.com/question/27262878.
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Which statement is true? Millimeters are larger than centimeters. Millimeters are larger than centimeters. Meters are larger than kilometers. Meters are larger than kilometers. Milliliters are larger than kiloliters. Milliliters are larger than kiloliters. Kilograms are larger than grams.
Given :
Conditions :
1) Millimetres are larger than centimetres.
2) Meters are larger than kilometres.
3) Millilitres are larger than kilolitres.
4) Kilograms are larger than grams.
To Find :
Which conditions are correct.
Solution :
1) Millimetre is 0.001 m and cm is 0.01 m .
So, option 1 is correct.
2) Kilometer is 1000 m .
So, option 2 is also correct.
3) Millilitres is 0.001 L and kilolitres is 1000 L .
Therefore, this is not correct.
4) Kilogram is 1000 g .
Therefore, this is also correct.
Therefore, option 1 , 2 and 4 are correct.
Hence, this the required solution.
Write an equation for the parabola: virtex=0,0, directrix= y= -1
Answer:
So EASY
Step-by-step explanation:
this is the right picture can you help me
Answer:
Yeah i am pretty sure you are right
Step-by-step explanation:
Katya is traveling by train to visit her relatives in another state. The equation y=60x+20 represents the total distance she is from her home (y) after x hours of traveling on the train
Step-by-step explanation:
Step one:
Given
The expression for Katya's distance away from home is given by the expression
[tex]y=60x+20[/tex]
y represents her total distance away from home
x= represent the time of travel in hours
Step two:
60 represents the rate at which the train is traveling in km per hour
20 represents the initial distance from home
we predict her distance away at a given time
say 4 hours, that is x=4hours
substituting in the expression
y=60x+20
y=60(4)+20
y=240+20
y=260km
Answer:
y=260km
Step-by-step explanation:
A company offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are college graduates who are currently employes; and 5% are college graduates who are unemployeed. Choose a customer at random. If a student is not an undergraduate business student, what is the robability they are an undergraduate student in other feilds of study? Ok
Answer:
OK aaaaaaaa. What is it
If a student is not an undergraduate business student, what is the probability they are an undergraduate student in other fields of study = 0.08
What is Probability?It deals with the occurrence of a random event.
Given that a company offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are college graduates who are currently employed; and 5% are college graduates who are unemployed.
P(undergraduate in business) = 0.20
P(undergraduate in other subjects) = 0.15
P(employed graduates) = 0.60
P(unemployed graduates) = 0.05
We know, P(A') = 1 - P(A)
Therefore, P(not undergraduate business) = 1 - P(undergraduate business) = 1 - 0.20 = 0.80
Hence, probability they are an undergraduate student in other fields of study = 0.08
For more references on probability, click;
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what is 22/55 in simplest form
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
because the highest number you can divide them both by is 11
25^(2 - 2) = 125
can someone help please
Answer:
the statement is not true 0 is not equal to 125
Step-by-step explanation:
Solve the equation: 7^n=343
Answer is
7^n = 7^3
N=3
Answer:
n=3
Step-by-step explanation:
7
n
=343
Use the rules of exponents and logarithms to solve the equation.
7
n
=343
Take the logarithm of both sides of the equation.
log(7
n
)=log(343)
The logarithm of a number raised to a power is the power times the logarithm of the number.
nlog(7)=log(343)
Divide both sides by log(7).
n=
log(7)
log(343)
By the change-of-base formula
log(b)
log(a)
=log
b
(a).
n=log
7
(343)
Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections. How many 5-foot sections does he have now?
A.430 B.26 C.86 D.60
How do I rewrite a mixed fraction as a sum?
Answer:
turn it into a decimal first
Step-by-step explanation:
Enter numbers to write 4.23×10^3 in standard notation.
The answer is 4230. I used mathmay to answer this question if you have anymore question like this I would suggest you go there it is a really good math answering site. Hope this helps!!
Plssss help I will give all my points and give brain things pls help
The government of a foreign country has recently decided to give a tax rebate to each of its adult citizens. The total amount the government can spend on the program is the equivalent of $5 × 1011. If the adult population of the country is approximately 2.29 × 108, what is a good estimate of the amount of money each person will receive (in dollars)?
Given :
The government of a foreign country has recently decided to give a tax rebate to each of its adult citizens.
The total amount the government can spend on the program is the equivalent of [tex]\$(5 \times 10^{11})[/tex]. If the adult population of the country is approximately [tex]2.29 \times 10^8[/tex].
To Find :
A good estimate of the amount of money each person will receive (in dollars).
Solution :
[tex]\text{Amount per person}= \dfrac{\text{Total amount}}{\text{Number of people}}\\\\A =\dfrac{5\times 10^{11}}{2.29\times 10^8}\\\\A = \$2183.406[/tex]
Hence, this is the required solution.
using the slope formula find the slope of the line that passes through these points (7,9) and (2,9)
Answer:
0
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
9-9/2-7
0/-5
-0/5
Since the numerator is 0, the slope is 0.
Best of Luck!
please help due in 10 minutes
:(
Martin is interested in joining a gym and has researched the cost of two gyms close to his house. Gym A has a $50
registration fee and costs $30 per month. Gym B has a $100 registration fee and costs $10 per month. The cost of
joining each gym can be modeled by the expressions below, where m represents the number of months.
• Gym A: 30m + 50
Gym B: 10m + 100
Martin writes the equation 30m + 50 = 10m + 100. What would the solution to the equation tell Martin?
A How many months he could go to the gym for $100
.
B. How much money he would be spending after m months
C. How much money he would be spending if he joined both gyms
D. How many months until the total spent is the same for both gyms
Answer:
D. How many months until the total spent is the same for both gyms
Step-by-step explanation:
HOPE THIS HELPS!!
Determine the type of triangle that is drawn below.
Pls help asap!!!!
Answer:
right triangle
Step-by-step explanation:
Answer:
It is an scalene triangle.
Step-by-step explanation:
A scalene triangle is a triangle that's lines aren't equal. So in this case, this is a scalene triangle.
solve 2x-3< 2
please answer it fast
Answer:
x<5/2
Step-by-step explanation:
We have
2x−3<2
Add 3 to both sides.
2x−3 +3 <2 +3
which makes
2x<5
Divide both sides by 2.
2x/2 < 5/2
x<5/2
Calculate the slope between the points (2,0) and (6, 7)
Answer:
slope = 1.75
Step-by-step explanation:
slope = Y2-Y1/X2-X1
= 7/4
= 1.75
help asap help show work
HELPPPPPPP ASAPPPPPPPPPpp 25 POINTS
Answer:
A, the y intercept is 15
Step-by-step explanation:
This function is in standard form and is the only one where you can simply substitute 0 in for x and find the y- intercept.
What is the solution set for 9x^2-25 = 0?
Answer:
x=1.666667,−1.666667
Step-by-step explanation:
9x^2−25=0
Step 1: Add 25 to both sides.
9x^2−25+25=0+25
9x^2=25
Step 2: Divide both sides by 9.
9x^2/9=259
x^2=25/9
Step 3: Take square root.
x=±25/9
x=1.666667,−1.666667
Planet Fitness charges a $10 per month plus
a one-time membership fee of $55.
a.) Write a linear equation for the situation
where x is the number of months and y
is the total cost.
b.) How many months have passed if you
paid $107? SHOW ALL WORK.
A. 10x+55=y
B. 5.2 months or 5 months
At a dry cleaning store, it costs $1.79 to clean a man’s dress shirt and 6 times as much to clean a suit. Choose the answer that correctly completes the statement.
It would cost_________to dry clean one shirt and one suit.
Answer:
Step-by-anation:
can someone help me
Answer:
EFD
Step-by-step explanation:
Just follow the marks on the triangle.
Answer:
Pretty sure it's EFD or the first one
Which equation can be used to find the solution of (1/4)^y+1=64?
−y−1=3
y + 1 = 3
−y+1=3
y−1=3
Answer:
−y−1=3
Step-by-step explanation:
Which equation can be used to find the solution of (1/4)^y+1=64?
This can be solved by power of indices
(1/4)^(y+1)=64
(4^-1)^(y + 1)= 4^3
Note
(x^a)^b = x^ab
Hence:
4^(-1)(y + 1)= 4^3
4^-y - 1 = 4^3
Divide both sides by 4
−y−1=3
Hence, the equation that can be used to find the solution of (1/4)^y+1=64 is
−y−1=3
Answer:
-y-1=3
Step-by-step explanation:
took the test and got it correct
Evaluate 4|-2| - |-3|. a) -5 b) 5 c) 11
What is 3+1?
Can somebody please explain? I've been trying to figure this out for hours and I need to know soon because it's for my homework. I think it might be 7 but I'm not sure.
3р + 3 = 18 I need the answer now!
Answer:
3p + 3 = 18
3p = 18 -3
3p = 15
p = 15/3
p= 5
Step-by-step explanation: