The cost of a pen is $3.5 while the cost of a pencil is $7
Simultaneous equationLet the price of pen be x
Let the price of pencil be y
If Julian was charged $40 for 4 pencils and 8 pens, then;
4y + 8x = 40
y + 2x = 10
y = 10 - 2x .............. 1
Similarly, if Estefania was charged $25 for 6 pencils and 2 pens, then;
6y + 2x = 25
Substitute 1 into 2 to have:
6(10-2x)+ 2x = 25
60 - 12x + 2x = 25
60-10x = 25
10x = 35
x = 3.5
Since y = 10 - 2x
y = 10 - 7
y = 3
Hence the cost of a pen is $3.5 while the cost of a pencil is $7
Learn more on equations here: https://brainly.com/question/16863577
Area 3. A picture 15 cm by 9 cm is framed on a piece of cardboard 18 m by 13 cm. What area of the cardboard can be seen? Area =
Answer:
Area = 99cm^2
Step-by-step explanation:
Seen cardboard = Total cardboard - picture
Total cardboard = 18 * 13
Total cardboard = 234
Picture = 15 * 9
Picture = 135
Seen cardboard = 234 - 135
Seen cardboard = 99
Answer:
99
Step-by-step explanation:
15x9=135
135 cm
18x13=234
234 cm
234-135=99
=99
Can i please get some help!!
Answer: C
Step-by-step explanation:
What is the name of the polygon? please help
Answer:
rectangle or Quadrilateral
Step-by-step explanation:
You are testing a claim that the standard deviation of calories consumed by adult males at a
sports arena is less than 155 calories. You find the initial conclusion of your test rejects the null
hypothesis. State the final conclusion.
Considering the hypothesis tested and the rejection of the null hypothesis, it is found that the final conclusion is that the standard deviation of calories consumed by adult males at a sports arena is less than 155 calories.
What are the hypothesis tested?At the null hypothesis, it is tested if the standard deviation is of 155 calories, that is:
[tex]H_0: \sigma = 155[/tex].
At the alternative hypothesis, it is tested if it is less than 155 calories, that is:
[tex]H_1: \sigma < 155[/tex].
What is the final conclusion?The null hypothesis is rejected, hence the final conclusion is that the standard deviation of calories consumed by adult males at a sports arena is less than 155 calories.
More can be learned about an hypothesis test at https://brainly.com/question/16313918
If
you vertically stretch the exponential function f(x) = 2X by a factor of 4, what
is the equation of the new function?
O A. g(x) = 2 • 4*
O B. g(x) = 1.24
O c. g(x) = 4. 2x
O D. g(x) = 24%
Answer: 1
Step-by-step explanation:
but why is it fx then the rest r g?
NO LINKS!! Part 8a: Please help me with this problem
THIS IS NOT MULTIPLE CHOICE!!!
a. Through what angle should the captain turn to head directly to Barbados?
b. Once the turn is made, how long will it be before the ship reaches Barbados if the same 15-knot speed is maintained?
Answer:
26.38° (nearest hundredth)
30.7960166... hours = 30 hours 47 mins 37 secs
Step-by-step explanation:
one knot = one nautical mile (nm) per hour
Therefore, 15-knot speed for 10 hours = 15 × 10 = 150 nm
Use cosine rule to find the distance between the ship and Barbados (blue dashed line on attached diagram).
Cosine rule: c² = a² + b² - 2ab cos(C)
Given:
a = 150b = 600C = 20°⇒ c² = 150² + 600² - 2(150)(600)cos(20°)
⇒ c² = 213355.3283...
⇒ c = 461.9040249... nm
Use sine rule to calculate smallest missing angle (red on attached diagram)
[tex]\sf \implies \dfrac{sin(A)}{150}=\dfrac{sin(20)}{461.9040249}[/tex]
[tex]\sf \implies sin(A)=\dfrac{150sin(20)}{461.9040249}[/tex]
[tex]\sf \implies A=6.376917848... \textdegree[/tex]
Sum of interior angles of a triangle = 180°
⇒ missing interior angle (green) = 180° - 20° - 6.376917848...° = 153.6230822...°
Angles on a straight line sum to 180°
⇒ x° = 180° - 153.6230822...° = 26.376917848...°
The distance between the Ship and Barbados is 461.9040249 nm
Therefore, to calculate the time, divide the distance by the speed:
t = 461.9040249... ÷ 15 = 30.7960166... hours
The governor of state a earns 52,760 more than the governor of state be. If the total of their salaries is 308,865 the salaries of each.
Under his cell phone plan, Alexander pays a flat cost of $69.50 per month and $5 per
gigabyte. He wants to keep his bill under $85 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Alexander can
use while staying within his budget.
I thought I knew the answer but I didnt
please my last math problem .
√100 + 6! =
Question
√100 + 6!
Step-by-step explanation:
about roots and factorials
=√100
=10
square root how to do it:
(10 × 10 = 100)
looking for factorial
=6 × 5 × 4 × 3 × 2 × 1
=30 × 4 × 3 × 2 × 1
=120 × 3 × 2 × 1
=360 × 2 × 1
=720 × 1
=720
factorial result of 6! is 720
now we count 10 + 720
10
720
———+
730
so the result of √100 + 6! is 730
I hope this helps
Answer(s):
[tex]\displaystyle 710\:and\:730[/tex]
Explanation:
The square root of any number is negative AND positive first of all. Second, when dealing with factourials, you could either start with two and multiply all the way up to the coefficient, or vice versa. Anyhow, let us solve this now:
[tex]\displaystyle \sqrt{100} + 6! \\ \\ \boxed{710} = -10 + [2(3)(4)(5)(6)] \\ \boxed{730} = 10 + [2(3)(4)(5)(6)][/tex]
I am joyous to assist you at any time.
An article is bought and sold with a profit of 25 of selling price. find the profit percent.
Answer:
33 percent
Step-by-step explanation:
Let's see what we have here.
A shopkeeper sold Item X for a his selling price (SP).
Let SP = x
Since the question says that
Profit is 25% of the selling price,
we have: Profit = 25% SP = 0.25x
Now, we already know that:
Profit = SP - Cost
This part is the catch.
To find out how much Item X originally cost,
Cost = SP - Profit = x - 0.25x = 0.75x
Now that we know the original cost of Item X,
we can easily calculate the
Real profit % using this formula:=
(Profit/Cost)*100=
(0.25x/0.75x)*100= 33%
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 20 cards, which was 5% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:
400 cards
Step-by-step explanation: [tex]20\div5[/tex]%
Calculate
[tex]\frac{20}{0.05}[/tex]
Multiply both the numerator and denominator with the same integer
[tex]\frac{2000}{5}[/tex]
Cross out the common factor
[tex]400[/tex]
I hope this helps you
:)
An airline charges nothing for a suitcase up to 20 pounds. For every pound over 20, the airline charges $2 per pound (only for pounds over 20). How much does the airline charge for a 35 pound suitcase?
Answer:
$30
Step-by-step explanation:
For a 35 pounds suitcase, the airline charges $0 for the first 20 pounds and $2 per pound for the remaining 15 pounds as the airline charges for only pounds over 20
A candy dish has 12 strawberry 8 lemon 6 orange and 9 grape candies in it. Jimmys favorite is lemon. What is the probabillity he will get 2 lemon if he gets one eats it and than gets another
Answer: 4/85
Total number of candies= 12+8+6+9
=35
probability of getting lemon the first time= 8/35
probability of getting lemon the second time= 7/34
probability of getting 2 lemon= (8/35)×(7/34)
= 4/85
Step-by-step explanation:
Hello can anyone help me with this please?
Answer:
The product of exponents is equal to the sum of the exponents.
Step-by-step explanation:
(x^2)*(x^2)=x^4, as it can be written as x*x*x*x, which is also x^4.
(x^3)(x^3)(x^3) does NOT equal x^27
(x^3)(x^3)(x^3) equals x^9
Please. I NEED NOW!!
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
add 4 +19 and then you get 23
HELPPP PLEASE PLEASE 15 points
Hi! I hope you're enjoying your day!
The first 4 terms of this arithmetic sequence are
132, 124, 116, 108.
What is the common difference? What do we need to subtract or add in order to get the next term?
Well, 132-124=8; 124-116=8; 116-108=8...
So the common difference is 8.
Let's identify the next two terms in this sequence.
Since we subtract 8 each time, the next term is
100
subtract 8 again:
92
Hence, the answers are:
[tex]\boxed{\boxed{\bold{100~and~92}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
[tex]\rule{250}{2}[/tex]
Answer:
next 100 then 92
Step-by-step explanation:
132,124,116,108,100,92
Can someone help me!!!
A bakery receives 200 loaves of bread each day of the week. The table below
displays how much it spent each day last week. The bakery uses FIFO. If it
had 150 loaves of bread left on Friday afternoon, what was the current value
of its stock?
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Price
$175
$200
$225
$250
$300
O A. $300
B. $250
C. $175
D. $225
The current value of its stock is $300.
What is the current value of its stock?FIFO means first in first out. It means the the goods bought first are the first to be sold. The ending inventory is the inventory purchased last.
The ending stock would be the bread purchased on Friday. The current value of the stock is $300.
To learn more about FIFO, please check: https://brainly.com/question
Find the slope of the line and write the slope as a rate of change. This graph
approximates the number of households that have personal computers y (in
millions) for year x.
Calculate the slope.
m =
The slope of the line is the rate of change of the graph
The rate of change of the line is 3 million households per year
How to determine the slope of the line?From the line, we have the following points
(x,y) = (2002,74) and (2006,86)
The slope is then calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Substitute known values
[tex]m = \frac{86 - 74}{2006 - 2002}[/tex]
Evaluate the differences
[tex]m = \frac{12}{4}[/tex]
Evaluate the quotient
[tex]m = 3[/tex]
This means that the slope is 3 million
Hence, the rate of change of the line is 3 million households per year
Read more about slopes at:
https://brainly.com/question/1884491
PLEASE SHOW WORK
a. How many half-gallon cartons of milk equal 1 gallon?
b. How many half-gallon cartons of milk equal 3 gallons?
Group of answer choices
a. 4, b. 12
a. 2, b. 6
a. 3, b. 9
Question 28
1 pts
ents
es
Monday Shift
Riva works at a long day care centre. On Monday she spent 17 hours in
the babies room, then 14 hours in the toddlers room before finishing the
day in the kindergarten room for hours.
How many hours did Riva spend with the children altogether on Monday?
Answer:
all too together, Riva spent 32 hours
Defining Your Triangles
1. Which peak did you select? (1 point)
Tyler will climb peak______.
Answer:
Tyler will clim peak _____A____
Write a function rule for the table.
Answer:
The answer is:
p = h + 12.5
Hope this helps! Have a great day/night! :)
Describe the transformation of g(x) = -f(x) + 6
A. reflection over the x-axis and a vertical shift up by 6 units
B. reflection over the y-axis and a vertical shift down by 6 units
C. reflection over the y-axis and a horizontal shift to the left by 6 units
D. reflection over the x-axis and a horizontal shift to the right by 6 units
Answer:
A
Step-by-step explanation:
the "-" sign simply turns everything upside-down. what was above the x-axis is now below it. and vice versa. hence, a reflection over the x-axis.
the "+6" moves then everything up by 6 units. which is a vertical shift up by 6 units.
Vector 10 5 was transformed to 40 20 what was the transformation
Answer:
i believe its a
Step-by-step explanation:
sorry if im not correct
Find the slope and the y-intercept of the graph of the linear equation.
y = -3x+2
The slope is (Answer here)
and the y -intercept is (Answer here)
Answer: The slope is -3
and the y-intercept is 2
Step-by-step explanation:
Since this is in slope-intercept form, we can easily find the slope and the y-intercept.
The form for slope-intercept form is: y = mx + b
where m is the slope and b is the y-intercept.
Therefore, -3 is the slope and 2 is the y-intercept.
Search up slope-intercept form on the internet for more details.
hope this helps :)
What formula do I use to find area? ABC
a factory producing fruit juice has three machines A,B and C. The machines produce 500,800 and 700 packets of juice per hour respectively. if two packets are randomly selected, what is the probability that one defective packet will be of A and another defective be of B
Answer:
it is half
r u show
omg workings
Given the formula V=1/3 Ah, solve for h. * *Hint: click the pen button next to the answer box to make sure your answer is formatted correctly. Use parentheses if needed.
h=___________
GIVING GRAINLIST HURRY