Mr. Hudson's bill when taking his family to a restaurant for dinner was $65. He used a discount card for 15% off and left a 20% tip on the original amount of the bill. Complete the statements to determine how much Mr. Hudson spent at the restaurant. The amount of Mr. Hudson's bill after the 15% discount was $ . Mr. Hudson left $ for a tip. Mr. Hudson spent $ at the restaurant.
Answer:
Amount of bill after discount = $55.25
Amount of tip left = $13
Total money spent at the restaurant = $68.25
Step-by-step explanation:
Original bill amount of Mr. Hudson = $65
Discount card value = 15% of the bill
Tip offered = 20% of the original amount
To find:
Amount of bill after the discount of 15%.
Amount of tip left.
Total amount spent in the restaurant.
Solution:
Let us apply the percentage here to find the values of total discount, total tip offered.
Discount = 15% of $65
[tex]\Rightarrow \dfrac{15}{100} \times 65 = \$9.75[/tex]
Amount of bill after discount = $65 - $9.75 = $55.25
Amount of tip left = 20% of $65
[tex]\Rightarrow \dfrac{20}{100} \times 65 = \$13[/tex]
Total money spent at the restaurant = Amount of bill after discount + tip offered = $55.25 + $13 = $68.25
The answers are:
Amount of bill after discount = $55.25
Amount of tip left = $13
Total money spent at the restaurant = $68.25
Find the value of x in the triangle shown below.
5
х
3
Answer:
x=4
Step-by-step explanation:
This is most probably the answer because 3, 4, 5 is a pythagorean triple.
I need help I need the answer
Answer:
t ≤ 12/23
Step-by-step explanation:
-48t + 2 ≤ -71t + 14
You would need to get all the numbers on one side and all the variables on the other side.
-48t + 2 -2 ≤ -71t + 14 -2 → -48t ≤ -71t + 12
-48t + 71t ≤ -71t + 71t + 12 → 23t ≤ 12
23t ÷ 23 ≤ 12 ÷ 23 → t ≤ 12/23
Find the midpoint of A and B where A has coordinates (-3,-5)
and B has coordinates (4, 4).
A kangaroo hops 2 kilometers in 3 minutes. At this rate, how far does the kangaroo travel in 2 minutes? Round to the nearest tenth.
2kilometers........3 minutes
xkilometers..........2 minutes
x=2*2/3=4/3=1.33km
Answer:
1.3 kilometers
Step-by-step explanation:
The first ratio of minutes to kilometers is 3:2
The second ratio of minutes to kilometers is 2:x
x is what you are trying to find (how far the kangaroo travels in 2 minutes)
Solve for x:
Change the ratios into fractions:
[tex]\frac{3}{2}[/tex] [tex]\frac{2}{x}[/tex]Cross multiply:
3x = 4
x = 4/3 = 1.33333333333…
and if you round that to the nearest tenth, you get 1.3.
Hope this helped!
write as a single fraction in its simplest form 2x -1 / 3 - 2/x + 1
Answer:
(2x^2 + x-7)/3x+ 3
Step-by-step explanation:
Here, we want to write the following as a single fraction;
2x-1/3 - 2/x + 1
That will be;
(2x-1)(x + 1) -2(3)/3(x+ 1)
= 2x^2+ 2x-x-1-6/3(x + 1)
= (2x^2+x-7)/3(x+1)
= (2x^2 + x-7)/3x+ 3
1. Sheena and her friends want to form a team to play recreational soccer. They want a combination of males and females for the soccer team. They want to have no more than 7 players on their team.
Part A: Write an inequality to represent the situation. Part B: Graph the inequality and shade the area where the possible solutions would
lie. Part C: What is the difference between the ordered pairs that fall on the line and
the ones that fall in the unshaded area?
Part D: Determine whether these combinations of males, m, and females, f, can be
present.
1. Write the equation of the circle given the following information. *
Center (-8,-9) and a radius r= 10
Answer:
(x+8)² + (y+9)² = 100
Step-by-step explanation:
The equation for a circle on a graph is
(x - a)² + (y - b)² = r²
r represents the radius
a represents the x displacement of the circle's center.
b represents the y displacement of the circle's center.
pls help and thx
WILL GIVE BRAINLIEST
Answer:
0
-20
-7
Step-by-step explanation:
0 x any number = 0
4(-5) = -20
126/(-18) = -7
Answer:
1. 0
2. -20
3. -7
Step-by-step explanation:
1. 0 times anything is equal to nothing times something.
So, the first one is 0.
2. For 4 x -5, you can just do 4 x 5 x -1, which equals 20 x -1, whixh equals -20.
3. Remember, a negative times a negative = a positive. So, the number must be negative. Just do 126 / 18 x -1, which equals -7.
Hope this helps!!
If the doctor's office is 7 units from the zoo and 2 units from the park, which ordered pair could represent the location of
the doctor's office?
(-7, -2)
(-4,-2)
(-2,-4)
(0, -2)
o
Plis respond fast
Answer: (-4,-2)
Step-by-step explanation:
Looking at the graph, if you move from the zoo downwards for 7 units, you will arrive at point B which is also 2 units from the park.
Point B is therefore the doctor's office and its coordinates are, (-4, -2)
A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation
Answer:
If this is a probability question, it's 1 out of 6 for any. However, if it's the same one twice or one right after the other, the theoretical probability would be 1 out of 12.
Step-by-step explanation:
Not sure what multiple choice answers you have but here we go, not sure the exact question either.
Not sure the exact question, but hope I could still help anyway ;-;
8q=3(10+q) what is the value of Q
Answer:
Step-by-step explanation:
8q=30+3q
5q=30
q=6
Some animals on farms eat hay to get energy. A cow can eat 24 pounds of hay each day. Write and evaluate an expression to find how many pounds a group of 22 cows can eat in two weeks.
Answer:
7392 pounds
Step-by-step explanation:
22x24x14
multiplication my friend
Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance).
Answer:
x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.
Step-by-step explanation:
Let Lin works x hours per week.
Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.
And she has to work at least 5 hours a week to $175 per week.
So, the inequality that can be written from the above condition is x ≥ 5 .......(1)
And the equation that can be written that
8.25x + 10 = 175 ....... (2)
So now we can write x = 20 hours
Hope this was helpful :)
1 point
In which of the graphs is f(x) NOT a function? Select all that
WHICH OPTION????
Answer:
Everything except Option 4 and option 3 because in option 4 and option 3, the y value does not repeat.
Step-by-step explanation:
What is the value of s ?
Please help
No guessing
Answer:
s = 17Step-by-step explanation:
use Pythagorean theorem a² + b² = c²
where a = 8
b = 15
c = s (which is unknown)
plugin values into the formula:
a² + b² = c²
8² + 15² = s²
s = √(64 + 225)
s = √289
s = 17
How do I solve this problem to find ACD
Answer:
x=135
Step-by-step explanation:
135 !!!!!lollllll
Which expression is equivalent to 12a + 8?
0 4(3a + 2)
04(3a + 8)
06(6a + 2)
06(6a + 8)
PLEASE help me thanks...
ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.
A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons
Answer:
cc
Step-by-step explanation:
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water? (1 point)
{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}
Answer:
The correct ordered pairs are:
{(1, 6.7), (2, 6.4), (3, 6.1)}
Option A is correct.
Step-by-step explanation:
A watering can dispenses water at the rate = 0.3 gallon per minute
The original volume of water in the can = 7 gallons.
Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?
First making the function:
The the volume of water in the can in gallons is represented by y and time in minutes is represented by x. Initially the volume is 7 gallons, after than water dispense at rate of 0.3 gallon per minute so, the function will be:
y=7-0.3(x)
Now, putting values to find ordered pairs
So, when time is 1 minute i.e x = 1
y=7-0.3(1)
y=7-0.3
y=6.7
So, when x=1, y=6.7 the ordered pair is: (1,6.7)
when time is 2 minutes i.e x = 2
y=7-0.3(2)
y=7-0.6
y=6.4
So, when x=2, y=6.4 the ordered pair is: (2,6.4)
when time is 3 minutes i.e x = 3
y=7-0.3(3)
y=7-0.9
y=6.1
So, when x=3, y=6.1 the ordered pair is: (3,6.1)
So, the correct ordered pairs are:
{(1, 6.7), (2, 6.4), (3, 6.1)}
Option A is correct.
i don't how to do this problem 2(x−2)−4x−5= 29
Answer:
= − 1 9
Step-by-step explanation:
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer
the answer would be
D(5,-2).
Answer:
D(-6, 1)
Step-by-step explanation:
To determine the solution we can start by calculating the slope of AB;
A(-1, 4), B(2, -5)
m = -5 - 4 / 2 - (-1) = -9 / 3 = -3
Then CD, if to be perpendicular, should have the 'negative reciprocal' of the slope of AB. In other words it should have a slope of 1/3. We are given point C as (3, 4) so let's take each of the given options for point D, and find the slope using the two points. If the slope is 1/3rd then that is the correct option.
Now I already know the answer, so instead of going through all the options I will just check the slope with the correct answer choice. You will find the slope to be 1/3rd;
C(3, 4), D(-6, 1)
m = 1 - 4/- 6 - 3 = -3/-9 = 1/3rd
Correct, as you can see
So your solution is option c
will select brainliest if ur answer is correct
Answer:
B (I think)
Step-by-step explanation:
A function can't have two X values that are the same (If I remember correctly) and the second table is the only one that doesn't have duplicated X values
Answer:
the correct answer is b
Step-by-step explanation:
line passes through points (5, 8) and (10, 5). Line b is parallel to line a. what is the slope of line b??
Answer:
-3/5
Step-by-step explanation:
Let's go from the point (5, 8) to the point (10, 5). We can see immediately that x (the 'run') increases by 5 and y (the 'rise') decreases by 3. Thus, the slope of the line connecting these two points is m = rise/run = -3/5.
Both of these lines have the slope -3/5, given that they are parallel lines.
Plz help! Will give brainliest!
Answer:
D
Step-by-step explanation:
To divide the 2 fractions
• leave the first fraction
• change division to multiplication
• turn the second fraction upside down
[tex]\frac{11}{12}[/tex] × [tex]\frac{7}{5}[/tex]
= [tex]\frac{11(7)}{12(5)}[/tex]
= [tex]\frac{77}{60}[/tex]
= 1 [tex]\frac{17}{60}[/tex] → D
Factor 72x−18xy
Find the Factor of 72x-18xy
Answer:
4x and (1-y)
Step-by-step explanation:
4x(1-y)
this is my answer
The factors of the expression are 18x and 4-y
Given the expression 72x - 18xy
Find the factor of each term:
72x = 18 * 4 * x
18xy = 18 * x * y
Since 18x is common to both terms, hence the factored form is expressed as:
72x - 18xy = 18x (4 - y)
The factors of the expression are 18x and 4-y
Learn more on factors here: https://brainly.com/question/24539261
Can someone please do these!!
Answer is attached below. Hope this helps.
Parallel lines r and s are cut by two transversals, parallel lines t and u. How many angles are alternate interior angles with angle 9?
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
A cookie recipe makes 3 servings and calls 3/4 cup of coconut oil how much coconut oil is needing for one serving
Helpppp pleasee
Answer:
1/4
Step-by-step explanation:
if 3 servings is 3/4 then 1 serving would make since if it was 1/4
LOMMON COREATHEMATICS CURRICULUM
Lesson 15 Homework 5.2
3. String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a
decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your
answer in meters.

Answer:
The total length of string needed for 17 identical decorative bottles is 35.70 meters
Step-by-step explanation:
Let us solve the question
∵ String A is 35 centimeters long
∵ String B is 5 times as long as String A
→ Multiply the length of A by 5 to get the length of B
∴ The length of string B = 35 × 5 = 175 cm
∵ Both are necessary to create a decorative bottle
∴ The length needed for 1 bottle = 35 + 175 = 210 cm
∴ Each bottle needs 210 cm to be decorated
∵ There are 17 identical bottles
→ Multiply the length needed for 1 bottle by 17
∴ The total length needed = 17 × 210 = 3570 cm
∴ The total length needed to decorate 17 bottles is 3570 cm
∵ 1 meter = 100 centimeter
→ Divide the total length by 100 to express it in meters
∴ 3570 cm ÷ 100 = 35.70 m
The total length of string needed for 17 identical decorative bottles is 35.70 meters