Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
What is the least common multiple of the numbers 5, 25, and 15? OA. 25 OB. 50 O C. 75 OD. 100 O E. 125
please help with math question
Answer:
C) 2 1/2
Step-by-step explanation:
125 divided by 50 is 2.5 or 2 1/2.
A fence is going to diagonally divide a 30 foot by 24 foot rectangular garden in half. Approximately how long, in feet, should the fence be?
19
27
38
46
54
Answer:38
Step-by-step explanation:
The diagonal of a rectangle creates the hypotenuse of a right triangle. Use the Pythagorean theorem, a2 + b2 = c2, where a = 30 ft and b = 24 ft, to calculate the length of the fence c.
a2 + b2 = c2
302 + 242 = c2
900 + 576 = c2
1476 = c2
38.42 ≈ c
The fence should be about 38 feet long. Isn't it strange to divide a garden in half diagonally with a fence? It doesn't seem to serve the purpose of keeping intruders out. It doesn't seem to serve any purpose, really.
Complete the two-column proof.
A. Alternate Exterior angles theorem / Vertical angles
B. Alternate exterior angles theorem / corresponding angles theorem
C. Symmetric property / Transitive property
The correct explanations are;
A) Vertical angles.
B) Corresponding angles theorem
C) Transitive property.
What are Parallel lines?
Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
Two lines x and y are parallel.
w is transversal of x and y.
Now, To prove ∠4 ≅ ∠5 we use;
Since, Two lines x and y are parallel.
So, We can apply all the properties of angles of triangles.
Statements Reasons
1. x || y 1. Given
2. w is transversal 2. Given
3. ∠4 ≅ ∠1 3. Vertically opposite angles.
4. ∠1 ≅ ∠5 4. By Corresponding angles theorem.
5. ∠4 ≅ ∠5 5. By Transitive property.
Thus, The correct explanations are;
A) Vertical angles.
B) Corresponding angles theorem
C) Transitive property.
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Use quadratic formula to solve 1-6x^2-x
Answer:
(3x-1)(2x+1)
Step-by-step explanation:
1-6x^2-x=0
-6x^2-x+1=0
6x^2+x-1=0
6x^2+(3-2)x-1=0
6x^2+3x-2x-1=0
3x(2x+1)-1(2x+1)=0
(3x-1)(2x+1)=0
So the factor is (3x-1)(2x+1)
PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)
Answer:
If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.
i didnt really understand the question but hope this helps
According to the information given, we have that:
a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.Item a:
The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.
Item b:
P(B) is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
Hence, P(B) = 0.25.
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Write an equation in slope intercept form that goes through (-1,6) and (3,-2)
First, we need to use slope formula* to find the slope.
[tex]m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2[/tex]
Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.
Here is what we have so far:
[tex]m = -2[/tex]I'm going to use this point:
[tex]x = 3[/tex][tex]y = -2[/tex]Here is how to find b:
[tex]-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b[/tex]
Finally, we put all of it together and we have our equation.
[tex]y = -2x + b[/tex]
*Slope formula: m = y₂ - y₁/x₂ - x₁
**Slope-intercept form: y = mx + b
Please help me out with this question please
Answer:
A
Step-by-step explanation:
It isn’t because if you do the vertical line test and try to put vertical lines all throughout the graph, two dots will touch the same line.
One hundred ninety-two students were surveyed about their favorite kind of TV programs. The results are shown in the table. Which kind of program did 25% of the students report as their favorite?
Answer:
Music was 25%
Step-by-step explanation:
HURRYYYYY!!!!
Which system of linear inequalities is graphed?
Translate the sentence into an inequality.
The sum of a number times 7 and 29 is at most 16.
Use the variable c for the unknown number.
Answer:
[tex]7c+29\leq 16[/tex]
Step-by-step explanation:
The inequality will be written as 7c + 29 ≤ 16.
What is inequality?inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given information translate the sentence into an inequality. The sum of a number times 7 and 29 is at most 16. The inequality in the mathematical form will be written as below:-
The sum of a number times 7 and 29 is at most 16.
7c + 29 ≤ 16.
Therefore, the inequality will be written as 7c + 29 ≤ 16.
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A dolphin was swimming 28 meters below the ocean's surface. It changed its depth to avoid a
predator and ended up 21 meters below the surface.
What was the change in the dolphin's depth?
Which equation matches the graph?
A. y-2=4(x+1)
B. y-1=4(x+2)
C. y+2=-4(x+1)
D. y+1=-4(x+2)
Answer:
a
Step-by-step explanation:
y=4x+6 is the equation simplified and that is what the graph is showing.
Answer:
A y-2=4(x+1)
Step-by-step explanation:
y-2=4(x+1)
3. The product of two rational numbers is 15. If one of the numbers is - 10, find the other.
Answer: -1.5
because one of the numbers is - 10 => the other is 15/-10 = -1.5
Step-by-step explanation:
Directions: Use the word problem below to solve the problems. It costs $50 to rent a car plus $3.00 per gallon of gas in the car. If I can spend at most $83.00, then how many gallons of gas can I get when I rent the car? 1.Write the inequality (ex. a + bx < c) and show all work to solve the inequality. 2. Graph the solution to your inequality on a number line.
Answer:
um i only 12 so uhh 29
Step-by-step explanation:
heh
Answer:
50×5=78
5÷3.00/83.00(ab)
Step-by-step explanation:
What is the solution of log (2t+4) = log (14+3t)
4 number lines going from negative 2 to positive 2. A has an open circle at negative one-half, everything to the right is shaded. B has a closed circle at negative one-half, everything to the right is shaded. C has an open circle at negative one-half, everything to the left is shaded. D has a closed circle at negative one-half. Everything to the left is shaded.
Which graph represents the inequality?
y greater-than negative one-half
A
B
C
D
Answer:
ITS A PLEASE GIVE ME BRAINLIEST
Step-by-step explanation:
Answer:
its A give the other person brainliest please
Step-by-step explanation:
Jan walks each morning for exercise. She takes a drink of water as she completes every 3/4 of a mile. She walks a total of 4 1/2 miles. How many times does she take a drink?
Answer:
Jan takes a drink 6 times.
Step-by-step explanation:
The information provided is:
Jan takes a drink of water as she completes every 3/4 of a mile. She walks a total of 9/2 miles.Compute the number of times Jan takes a drink as follows:
[tex]\text{Number of times Jan takes a drink}=\frac{\text{Number of miles walked}}{\text{Interval for a drink}}[/tex]
[tex]=\frac{9/2}{3/4}\\\\=6[/tex]
Thus, Jan takes a drink 6 times.
A recipe that serves four calls 2 1/4 cups of butter. How many cups of butter are needed to serve 12
Answer:
6 3/4 cups.
Step-by-step explanation:
If 2 1/4 cups serves 4, you need to serve 12 so you would multiply the amount of butter by 3 and get 6 3/4 cups of butter.
The sum of j and 47 is 55
What is the value of c in this linear system?
A) 1
B) -3
C) -1
D) 2
9514 1404 393
Answer:
B) -3
Step-by-step explanation:
There are methods for finding only c. Cramer's rule is one of them. It involves finding two determinants and taking their ratio. Here, we choose a more ad hoc approach. It appears that the value of b can be found by combining the last two equations.
(1/2)(2a +4b -2c) -(a -3b -c) = (1/2)(12) -(-4)
5b = 10
b = 2
Now, we can substitute this value into the first two equations. This gives ...
5a +c = -8
a - c = 2
Subtracting 5 times the second from the first gives ...
(5a +c) -5(a -c) = (-8) -5(2)
6c = -18 . . . . simplify
c = -3 . . . . . . divide by 6
The value of c is -3.
Mindy has $10.75 to buy school supplies. She spends $3.96 at one store for a package of glue sticks, but she still needs to buy 3 pens and a notebook. At the next store, she finds pens for $1.39 each. What is the most she can spend on a notebook if she buys the 3 pens
Answer:
2.62$
Step-by-step explanation:
Answer:
If she buys the pens she can use 2.62 dollars on a notebook
Step-by-step explanation:
10.75-3.96=6.43
1.39x3=4.17
6.43-4.17
2.62
1. The price of a ring is directly proportional to its weight. If 10grams ring worth is
$3000, what is the weight of a ring worth $9000?
30g
your welcomeeeeeeeeeeeee
i will give brainliest if correct answer
4w-24≤-12
4w≤12
w≤3
the answer i got is fifth first
2/H=1427x518+72-64+72
Answer:
739,266
Step-by-step explanation:
There are 32 marbles in the box. There are 12 red marbles, 14 blue marbles, and 6 yellow marbles. What percent of the marbles are NOT yellow?
Answer:
Around 82-81% aren't yellow.
Step-by-step explanation:
Add together the number of marbles that aren't yellow and divide the total of NON YELLOW with the total (32) to get around 82-81%.
What is the slope of the line represented by 5x + 2y = -15.
Answer:
5x + 2y = -15
2y = -15-5x
y = -5/2x-15/2
SLOPE: -5/2
i am in doubt in this task... Thanks
Answer:
the answer is a
Step-by-step explanation:
On paper, draw and label point P. Draw and label point Q. Draw a line between the two points using a straight edge. What is the geometric term for the figure in the drawing?
pls help:) i feel so guilty for asking questions
Answer:
Step-by-step explanation:
AB:
d = sqrt ( (−5−2)^2 + (−2−(−8))^2)
d = sqrt( (−7)^2 + (6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
BC:
d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
AC:
d = sqrt ( (−7−(2))^2+(3−(−8))^2 )
d = sqrt( (−9)^2 + (11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d = 14.21267
DE:
d = sqrt ( (−11−(-9))^2+(12−7)^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
EF:
d = sqrt ( (−2−(-11))^2+(1−12)^2 )
d = sqrt( (9)^2 + (-11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d =14.21267
DF:
d = sqrt ( (−2−(-9))^2+(1−7)^2 )
d = sqrt( (7)^2 + (-6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
Yes, the triangles are congruent because the lengths are the same.