The manufacturer price was $50. The customer purchased the item for $200. What percent of the original price did the customer pay?
Answer:
400%
Step-by-step explanation:
the question is asking what percent of 50 is 200
we can set up this proportion to find 'x' (the original price)
200/50 = x/100
cross-multiply to get:
50x = 20,000
x = 400%
is this a reasonable estimate? Why?
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations.
Answer:
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
Step-by-step explanation:
Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
A.
Let
x = number of packets of strawberry wafers
y = number of packets of chocolate wafers
x + y = 22
3x + y = 30
B. Solve the equation in A using elimination method
x + y = 22 (1)
3x + y = 30 (2)
subtract (1) from (2) to eliminate y
3x - x = 30 - 22
2x = 8
x = 8/2
x = 4
Substitute x = 4 into (1) to solve for y
x + y = 22 (1)
4 + y = 22
y = 22 - 4
y = 18
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
The duration of routine operations in a certain hospital has approximately a normal distribution with an
average of 120 minutes and a standard deviation of 18 minutes. What percentage of operations last longer
than 138 minutes?
Answer: The percentage of operations last longer than 138 minutes =15.87%
Step-by-step explanation:
Let x denotes the duration of routine operations in a certain hospital.
Given: The duration of routine operations has approximately a normal distribution with [tex]\mu[/tex] = 120 minutes and [tex]\sigma=[/tex] 18 minutes.
The probability that operations last longer than 138 minutes = [tex]P(X>138)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{138-120}{18})\\\\=P(Z>1)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\\\\=1- 0.8413\\\\=0.1587[/tex]
The percentage of operations last longer than 138 minutes =15.87%
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (4 points)
Answer:
I think point D is the answer.
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
What is the number of possible outcomes in the sample space formed by rolling a dice and flipping 2 coins?
Answer:
24
Step-by-step explanation:
6 sides on die
2 sides on each coin
6 x 2 x 2 = 24
Tori bought 6 pounds of sugar. She wants to divide the
sugar in bags that weigh 1/5 pound each. How many bags
of sugar will Tori make?
PLEASE ANSWER
Answer:
Pretty sure its 30
Step-by-step explanation:
Hope this helps!
The area of a triangle is 72cm squared. if its base is 16cm, find his height.
Answer:
The height is 9 cm
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
72 = 1/2 ( 16) h
72 = 8h
Divide each side by 8
72/8 = 8h/8
9 = h
The height is 9 cm
Answer:
8 because it is a half base x height
Step-by-step explanation:
a half x 16= 8
A coach must choose 11 starters from a team
of 17. How many different ways can the
coach choose the starters? (SOL AII.12)
A 12,376
B 19,448
C 57,120
D 8,910,720
Answer:
I think it's A
Step-by-step explanation:
wbbBzbzbzsjsbzbx
If the suspect is found guilty, then he will go to prison.
Which of the following is a logically equivalent statement to the conditional statement above?
If the suspect does not go to prison, then he was not found guilty.
If the suspect goes to prison, then he was found guilty.
If the suspect is not found guilty, then he will not go to prison.
If the suspect is not found guilty, then he will go to prison.
Answer:
If the suspect goes to prison, then he was found guilty.
Step-by-step explanation:
Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.
Line u has a slope of
-2/5 is parallel to line u. What is the slope of line v?
Answer:
-2/5
Step-by-step explanation:
The slope will be same , that is -2/5 .
Find the volume of a pyramid with a base area of 25 square centimeters and height of 3 centimeters
Answer:
Volume 25cm³
Pyramid height 3cm
Base area 25cm
Explanation:
V = A h/3 = 25·3/3 =
25cm³
α
34°
Help me ASAP Thxx
Answer:
a=146°
Step-by-step explanation:
a+34 =180 degree (being linear pair
a=180-34
a=146 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
PLEASE HELP ME SO I CAN MOVE ON FROM THIS TOPIC
Answer:
3rd option
Step-by-step explanation:
([tex]\frac{f}{g}[/tex] )(x)
= [tex]\frac{f(x)}{g(x)}[/tex]
= [tex]\frac{2x^2-5x-3}{2x^2+5x+2}[/tex] ← factorise numerator and denominator
= [tex]\frac{(x-3)(2x+1)}{(x+2)(2x+1)}[/tex] ← cancel (2x + 1) on numerator/ denominator
= [tex]\frac{x-3}{x+2}[/tex]
Oliver wants to buy a new TV. The price was $985. When he goes to the store a
second time, he found that price was marked down by 35%. What is the new
price of the TV?
Answer:
$640.25
Step-by-step explanation:
Answer:
$640.25
Step-by-step explanation:
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m – 2m4 –2m4 – 6m2 + 4m + 9
Answer:
[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]
Step-by-step explanation:
Given
[tex]4m - 2m^4 - 6m^2 + 9[/tex]
Required
Express in standard form
To do this, we simply reorder the terms of the polynomial in descending order of power.
So, we have:
[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]
Answer:
D
Step-by-step explanation:
Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class taken. Rebekah's goal is for each customer to spend at least $100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal.
Let C represent the number of classes a customer takes.
Provide an inequality and the minimum number of classes a customer can take for Rebekah to meet her goal.
Answer:
Inequality: 12c + 35 ≥ 100
Minimum number of classes per customer: 6
Step-by-step explanation:
12c + 35 ≥ 100
- 35 -35
12c ÷ (12) ≥ 65 ÷ (12)
c ≥ 5.4 (so 6)
Hope this helps good luck!
Answers:
The inequality is [tex]12C+35 \ge 100[/tex]
The minimum number of classes a customer can take is 6 classes
===========================================================
Explanation:
The expression 12C+35 represents how much a customer spends when they take C number of classes. The C is a placeholder for any positive whole number.
For instance, if they take C = 2 classes, then they spend 12*C+35 = 12*2+35 = 59 dollars.
Or if they take C = 3 classes, then they spend 12*C+35 = 12*3+35 = 71 dollars and so on.
We could try various values of C to find when 12C+35 is 100 or larger.
Or we can use algebra as shown in the next section.
---------------
[tex]12C+35 \ge 100\\\\12C \ge 100-35\\\\12C \ge 65\\\\C \ge \frac{65}{12}\\\\C \ge 5.4167 \ \text{ (approximate)}\\\\[/tex]
Because C is a positive whole number, we round up from 5.4167 to 6
We would not round to 5 even though 5.4167 is closer to 5 (hence the phrasing round up, instead of simple rounding).
If the customer took C = 5 classes, then they spend 12*C+35=12*5+35 = 95 dollars which is 5 short of the goal
But if they take C = 6 classes, then we're over the goal because 12*C+35 = 12*6+35 = 107. Larger values of C will result in larger total costs.
So the minimum number of classes a customer can take is 6 classes and this will allow Rebekah to reach her goal of $100 or more.
The function p(x) represents the number of bacteria in culture after x days. What does p(6) represent
Answer: p(6) represents how the number of bacteria after 6 days.
Simply replace each x with 6 to go from the first sentence to the answer shown in bold above.
If 70 increased to 100 by what percent did it increase?
Answer:
I'm pretty sure it's 30 but I'm not 100% sure.
Answer:
30%
Step-by-step explanation:
70+30=100!
Ozzie the Owl was up in a pine tree 41 feet high. He saw a tasty looking squirrel that was 12 feet from the base of the tree. Use the Pythagorean Theorem to calculate the distance Ozzie would have to fly in order to pick up the squirrel.
Answer: Use the base times hight to get the hypotenuse
Step-by-step explanation:
Please help me with 4 I’d really appreciate it
Step-by-step explanation:
4a) The pressure of a basketball can have a large tolerance.
b) Writing an exam has a very low tolerance in terms of time allotment.
c) The amount of milk in a carton has a low tolerance.
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6% compounded annually. They were hoping that the money would double twice by the time she was 18 years old. Using the rule of 72, t = StartFraction 72 Over r EndFraction will their hopes come true?
Answer:
their hopes will come true
Step-by-step explanation:
Using the formula for calculating amount expressed as;
A = P(1+r)^t
Given
P = $15000
r = 9.6% = 0.096
t = 15years (18-3)
Substitute;
A = 15,000(1+0.096)^15
A = 15,000(1.096)^15
A = 15000(3.9551)
A = 59,326.6
As we can see, the money is even more than twice the original amount, this shows that their hopes will come true
Answer:
a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.
Which values are solutions to the inequality below? Check all that apply
sqrt(x) < 13
A. 26
b. 251
C. 28561
d.170
e. 1
F. 15
Answer:
A, E, F
Step-by-step explanation:
With this question, it's mostly just trial and error.
[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.
[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.
[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.
[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.
[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.
[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.
Therefore, A, E and F are true.
**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!
Simplify 10( to the power of 9) divided by 10( to the power of 7)
The simplified form of 10⁹/10⁷ is 100.
The given expression is,
10⁹/10⁷
Since we know that,
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Since we also know that,
When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,
Therefore,
we can write the given expression
10⁹/10⁷ = [tex]10^{(9-7)}[/tex]
= 10²
= 10 x 10
= 100
Hence,
10⁹/10⁷ = 100
To learn more about exponent visit
https://brainly.com/question/31242910
#SPJ6
Translate the phrase into an algebraic expression.
The sum of 6 and c
Answer:
6+c
Step-by-step explanation:
sum means to add
6+c
What is an equation of the line that passes through the points (6,-6) and (-2,-2)
Answer:
[tex]y=-\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (6,-6) and (-2,-2)
[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{1}{2}x+b[/tex]
Plug in one of the given points and solve for b
[tex]-6=-\frac{1}{2}(6)+b\\-6=-3+b[/tex]
Add 3 to both sides
[tex]-6+3=-3+b+3\\-3=b[/tex]
Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:
[tex]y=-\frac{1}{2}x-3[/tex]
I hope this helps!
1. Find the value of x
A. 18
B. 36
C. 25
D. 50
Let p: x < -3 let q: x > 3 What is represented by p v q
Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
v ≈ 34.95ft^3
Step-by-step explanation:
h = 9.8ft
A^B = 10.7ft
V=A^B
h/3 = 10.7 • 9.8/3
≈34.95333ft^3
≈34.95ft^3
If 3^(2x1)=3^(x+5), what is the value of x?
Answer:
its -3
Step-by-step explanation:
since the bases are equal then the powers are equal
[tex] {3}^{2} = {3}^{x + 5} \\ \\ 2 = x + 5 \\ x = - 3[/tex]