Cassandra paid $52.80 in sales tax on a purchase of $844.80. What is the sales tax rate?
Answer:
16
Step-by-step explanation:
844.80 ÷ 52.80
Anna has $2.53. How much money will Anna have left if she buys a bright yellow highlighter and a thin blue marker?
thin green highlighter $0.35
package of crayons $0.61
thin blue marker $0.80
bright yellow highlighter $0.74
Answer:
$0.99
Step-by-step explanation:
A thin blue marker = $0.80
A bright yellow highlighter = $0.74
First, find the total cost of these two products. Add the costs together:
0.80 + 0.74 = 1.54
Anna has $2.53 in all. Subtract 1.54 from 2.53:
2.53 - 1.54 = $0.99
Anna will have $0.99 left.
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In a circle graph that represents a survey of 400 people, how many people are represented by a sector labeled 25%?
Answer:
100 people.
Step-by-step explanation:
25% of 400
= 0.25 * 400
= 100.
Please solve this question.
Answer: see proof below
Step-by-step explanation:
Use the Cofunction Identity: sin (90 - A) = cos (A)
Use the Double Angle Identity: sin(2A) = 2 sinA cosA
Use the Triple Angle Identity: cos (3A) = 4cos³A - 3cosA
Use the Zero Product Property: If a · b = 0, then a = 0 or b = 0
Use Pythagorean Identity: cos²A + sin²A = 1 → cos²A = 1 - sin²A
Use Quadratic Formula: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Proof LHS → RHS:
Assumption: Let A = 18°
Multiplication: then 5A = 5(18°)
→ 5A = 90°
Expand: 2A + 3A = 90°
→ 2A = 90° - 3A
Apply sin: sin (2A) = sin (90° - 3A)
Cofunction: sin (2A) = cos (3A)
Double Angle: 2 sinA cos A = cos (3A)
Triple Angle: 2 sin A cos A = 4cos³A - 3cos A
→ -4cos³A + 3cos A + 2sinA cos A = 0
Factor: cos A(-4cos² A + 3 + 2sin A) = 0
Zero Product Property: cos A = 0 or -4cos² A + 3 + 2sin A = 0
↓
Disregard (since cos A ≠ 0)
Pythagorean: -4cos² A + 3 + 2sin A = 0
→ -4(1 - sin² A) + 3 + 2sin A = 0
→ -4 + 4sin² A + 3 + 2sin A = 0
Simplify: 4sin² A + 2sin A - 1 = 0
a=4 b=2 c= -1
[tex]\text{Quadratic Formula:}\qquad \sin A=\dfrac{-(2)\pm \sqrt{2^2-4(4)(-1)}}{2(4)}[/tex]
[tex]=\dfrac{-2\pm \sqrt{4+16}}{8}[/tex]
[tex]=\dfrac{-2\pm \sqrt{20}}{8}[/tex]
[tex]=\dfrac{-2\pm 2\sqrt{5}}{2(4)}[/tex]
[tex]=\dfrac{-1\pm \sqrt{5}}{4}[/tex]
[tex]=\dfrac{ \sqrt{5}-1}{4}[/tex]
[tex]\text{Substitute A = 18:}\qquad \sin 18=\dfrac{ \sqrt{5}-1}{4}[/tex]
what is the area of this shape?
Width Bottom = 8 sq units
Width Top = 4 sq units
Height right = 9 sq units
Height left = about 13 sq units
Add the width and height to lessen the values.
[tex](8 + 4)\\(9 + 13 )\\8 + 4 = 12\\9 + 13 = 22[/tex]
Third, multiply height times width.
[tex]12 * 22 = 264[/tex]
Therefore, the area of this shape should be 264, according to my logic.
Please let me know if you need anything else!
Noel is a computer repairman. To fix a computer, he charges a customer $40 per hour, plus a fixed fee of $15 for the service call, as represented by the function f(x) = 40x + 15. In the equation, what is represented by the variable x?
Step-by-step explanation:
4ox+15=60min
40x=60-15
40x=45
40 40
x=1.125
test it 40(1,125)+15=60
i need this pls asap
Answer:
144cm^2
Step-by-step explanation:
This is a cube which means it has 6 sides
The dimensions of one side is 5cm by 5cm
So the area of one side is 5*5=25cm
25cm * 6 sides = a total surface area of 144cm^2
Hope this helps! :)
If angle AOC = 77º and angle AOB = 49°, then angle BOC =
The Weeks' family goes out to eat and the total bill was $72.48. If they want to leave an 18% tip, how much extra money should they leave the waitress?
Answer:
Step-by-step explanation:
13.05
Answer:
13.05
Step-by-step explanation:
Need help with both shown questions! Tysm!!
Answer:
8) y=10
9) z=4
Step-by-step explanation:
substitute and solve
which explains whether 18/24 and 63/84 are equivalent fractions
Answer:
Yes they are.
Step-by-step explanation:
18/24 * 3.5/3.5 (which equals 1) = 63/84
so yes
Tools are us rents leaf blowers for a base price of $24 +9 dollars per hour XYZ rentals rent leaf blowers for a base price of $18 plus $11 per hour how many hours were both companies charge the same amount and what is that amount solve by substitution
Price per hour of first case :
[tex]P_1 = 24 + 9a[/tex] ( Here, a is number of hours )
Price per hour of second case :
[tex]P_2 = 18 + 11b[/tex] ( Here, b is number of hours )
Let, after x hours both company charges the same.
[tex]P_1=P_2\\\\24+9x = 18 + 11x\\\\2x=6\\\\x = 3\ hours[/tex]
Hence, this is the required solution.
Help me please ssjdjjdjdjdjddjjfjf
Answer:
The answer should be 273
It costs $2.00 for eight juice boxes. What is the unit price per box?
Answer:
$0.25 for 1 juice box
Step-by-step explanation:
Divide $2.00 by 8
The answer is 0.25
Hope I helped :)
Please consider Brainliest :)
The unit price of each box will be $0.25 per box.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
It costs $2.00 for eight juice boxes.
The unit rate is given by the division of the numbers 2 and 8. Then the units rate is given as,
Rate = $2 / 8
Rate = $0.25 per box
The unit price of each box will be $0.25 per box.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Mario paid $44in taxi fare from the hotel to the airport. the cab charged $2 for the first mile plus $3 for each additional mile. how many miles was it from the hotel to the airport
Answer: 50
Step-by-step explanation:
2+3=6+44=55
A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was three times as great as the cost of the smaller fish. The total cost of the two fish was threes A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was three times as great as the cost of the smaller fish. The total cost of the two fish was $3696. What's the answer
Answer:
The larger fish weigh 231 pounds and the smaller fish weigh 77 pounds
Step-by-step explanation:
Here is the complete and correct question:
A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was three times as great as the cost of the smaller fish. The total cost of the two fish was $3,696. How much did each fish weigh?
Step-by-step explanation:
Let the cost of the larger fish be x, and the cost of the smaller fish be y.
From the question,
The cost of the larger fish was three times as great as the cost of the smaller fish, that is
x = 3y
Also, from the question,
The total cost of the two fish was $3,696, that is
x + y = $3,696
Since x = 3y, we can write that
3y + y = $3696
Now, we can determine y
3y + y = $3696
4y = $3696
y = $3696/4
y = $924
Hence, the cost of the smaller fish is $924
From x = 3y; we can determine x
y = $924
∴ x = 3y becomes
x = 3 × $924
x = $2772
Hence, the cost of the larger fish is $2772
Now, to determine how much each fish weigh,
From the question, A fish market bought two swordfish at a rate of $12 per pound
To determine the weight of each fish, we will divide the cost by the rate ($12 per pound)
For the larger fish
Cost = $2772
∴ Weight = $2772 ÷ $12 per pound = 231 pounds
Hence, the larger fish weigh 231 pounds.
For the smaller fish
Cost = $924
∴ Weight = $924÷ $12 per pound = 77 pounds
Hence, the smaller fish weigh 77 pounds.
Help ASAP !! 10 pts!
Find the missing endpoint T of segment ET with endpoint E(-6,4) and midpoint M(4,8).
Answer:
(14,12)
Step-by-step explanation:
For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. Which equation can be used to find c, the number of student tickets sold?
Step-by-step explanation:
let c be the number of students tickets and
y the number of adult tickets.
the equations to find these numbers are
c+y=512
5c+10y=3570
Leila was asked to solve the equation ļ (x + 5) = 29. The first step she did to solve the equation was į (x) + }(5) = 29. What property did she use in this step?
1 associative
2 commutative
3 distributive
4 reflexive
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
discount = 25%
Step-by-step explanation:
discount is calculated as [tex]\frac{reduction}{original}[/tex] × 100%
reduction = 2800 - 2100 = 700
discount = [tex]\frac{700}{2800}[/tex] × 100% = 0.25 × 100% = 25%
Help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I believe it's 22.5 or 22 1/2 I hope it helps
Answer:
Sorry its againts brainly code to help on tests and quizes and other.
The number of dogs Corey can wash varies directly with the amount of time he spends washing dogs. Corey can wash 12 dogs in 2 hours.
How many dogs can Corey wash in 8 hours?
Enter your answer in the box.
dogs
Answer:
corey can wash 48 dogs in 8 hours
Step-by-step explanation:
we know that he can wash 12 dogs in 2 hours. we need to know how many dogs he can wash in 1 hour, to do that we take the 12 dogs divided by 2 hours
12/2 = 6 dogs
he can wash 6 dogs in 1 hour
to find out how many dogs he can was in 8 hours you take number of dogs per hour times amount of time given.
6dogs * 8 hours= 48 dogs
Which statement must be true? arc r t ≅ arc u t ∠rqt ≅ ∠rst rq ⊥ qt rs ≅ st
The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
In circle Q, ∠RQS ≅ ∠SQT.
In ΔRQS and ΔTQS
∠RQS ≅ ∠SQT (Given)
QS = QS (Common side)
RQ = QT (Radius of the circle)
The ΔRQS and ΔTQS triangles are congruent to each other. That is given as ΔRQS ≅ ΔTQS.
The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D. rs≅st
Step-by-step explanation:
i did it
please help, will mark as Brainliest
Can someone answer this?
Whats is the explicit form for 27,18,12,8
Answer:
Answer: a(n) = 27*(2/3)^(n - 1).
Step-by-step explanation:
.........................
convert 62 feet per second to (5280 = 1 mile)
Answer:
Step-by-step explanation:
if you want to convert to miles per hour, then
in 1 second distance covered=62 ft
In 60 seconds (1 minute) distance covered=62×60=3720 ft.
In 60 minutes (1 hour) distance covered=3720×60 ft=223200 ft
=223200/3=74400 yards
=74400/1760=7440/176=930/22=465/11 miles=42 3/11 miles
62 ft per second=42 3/11 miles per hour.
What is 7/9 * 1/3
Hurry I am on a timer
Answer:
7/27Step-by-step explanation:
Hope this helps! <3
someone answer please!!!
Answer:
3.4
Step-by-step explanation:
both angles are equal, i.e 16x - 9 = 45.
the value of x is 3.375
Answer:
The value of x is 9.
Step-by-step explanation:
i used the equation (16x-9) + 45 = 180
1. i added -9 +45 i got 36
2. 16x + 36 = 180
3. i subtract 36 from 36 and 180
4. 16x=144
5. i divide 16 from 16x and 144
6. x=9
I hope this helped! :)