Answers
Explanation: You can solve this using linear systems:
Let X be the cost per pencil, and let Y be the cost per notebook.
(1) 7x+8y=4.15
(2) 5x+3y=1.77
Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.
Equation 1 now becomes:
(3) 35x+40y=20.75
Equation 2 now becomes:
(4) 35x+21y=12.39
Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!
(3)-(4)
19y=8.36
y=0.44
Now that you have the value of Y, substitute that value into either one of the equations to get X.
Substitute y=0.44 in (1)
7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09
Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.
Almost done lol...
To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.
To find the total price, add these values together!
1.44+4.40=5.84
Therefore, the cost of 16 pencils and 10 notebooks is $5.84.
Hope that helps シ
Related Questions
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. Which distribution should you use for this problem
Answers
Answer:
The z-distribution should be used for this problem.
Step-by-step explanation:
The population distribution is assumed to be normal. Which distribution to use?
If we have the standard deviation for the sample, we use the t-distribution.
If we use the standard deviation for the population, we use the z-distribution.
There is a known standard deviation of 2.2 minutes.
This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.
please help and thank you
Answers
Answer:
D) 3
Step-by-step explanation:
It is halfway the length of Y and W. 6-3= 3
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
Please solve for angle C
Answers
Answer:
29
Step-by-step explanation:
tan c = opposite / adjacent
c = tan -1 (25/45) = 29
Answer:
Step-by-step explanation:
tan C = opp/adj
sin C = 25/45
sin C = 0.5556
C = sin^-1 0.5556
= 33.75
An orthocenter is the intersection of three.....?
Answers
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments. A random survey of 850 customers found only 34 with complaints. Does this provide evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints
Answers
Answer:
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.
Step-by-step explanation:
A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments.
At the null hypothesis, we test if the proportion of negative comments is of at least 5%, that is:
[tex]H_0: p \geq 0.05[/tex]
At the alternative hypothesis, we test if this proportion is less than 0.05, that is:
[tex]H_1: p < 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]
A random survey of 850 customers found only 34 with complaints.
This means that [tex]n = 850, X = \frac{34}{850} = 0.04[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{850}}}[/tex]
[tex]z = -1.34[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.04, which is the p-value of z = -1.34.
Looking at the z-table, z = -1.34 has a p-value of 0.0901.
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.
What is the exponent for x when the radical 18 is simplified completely?
Answers
Answer:
x⁶
Step-by-step explanation:
[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the second marking period your average was a 60.57 and then for the final marking period your average was a 63.63 what will be your overall average?
Answers
Choose the linear inequality that describes the graph the grey area represents the shaded region
Answers
Answer:
Explain to me how you expect anyone to do this,
as you haven't provided the graph or the inequalities.
Step-by-step explanation:
What percent of 0.2 gram of 32 mg
Answers
Answer:
625
Step-by-step explanation:
First, you have to convert 0.2 grams to mg. To do this, multiply 0.2 by 1000. This yield 200. Now 200 is what percent of 32.
200 * 100 / 32
= 625
Find the distance between A(-3, 2) and B(5, -1).
Answers
in induction, you look for a pattern and then form an educated guess or?
Answers
Answer:
look for a pattern then take an estimate or 'educated guess'
Step-by-step explanation:
Answer:
The answer is conjugation
Hope this helps!
Can someone answer these questions for me? (Questions are in the picture)
Answers
2. (7/12)
3. (4/21)
To divide fractions all you have to do is take a dividend, the first number, and multiply it by the inverse of the divisor, which is the second number.
2 is c
3 is B
Please help. How do I solve this?
Answers
A local dealership provides you with statistics that show the number of each color car they sold last year along with the percentages that those sales represented relative to their inventory for that color car.
For each color, how many cars did the dealership have in its inventory before they started selling them?
Answers
Answer:
red: 20
white: 30
black: 25
silver: 40
other: 12
Step-by-step explanation:
To find the original number of cars per color in the inventory, divide the sold number of cars by the percent of the inventory.
red: 20 = 10/0.5
white: 30 = 21/0.7
black: 25 = 19/0.76
silver: 40 = 10/0.25
other: 12 = 4/0.33
how can i solve the following
4(5x-2) = 2(9x + 3
Answers
2x=14
X=7
Answer
write down all the factors of each number
a. 10
b. 25
c. 36
d. 50
e. 100
Answers
Answer:
Below
Step-by-step explanation:
The factors of 10 are 1, 2, 5, 10.
The factors of 25 are 1, 5, and 25.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 50: 1, 2, 5, 10, 25, 50.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.
Which point is a solution to the inequality?
O (-2, 1)
0 (-1,1)
0 (0, 1/2)
0 (3, 1/2)
Answers
Option D is correct, (3, 1/2) point is a solution to the inequality y <1/3x+1/2.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given expression is y < 1/3x+1/2
y less than one divided by three times of x plus one divided by two.
Now let us check by plugging each ordered pair.
Now plug in (-2, 1)
1<1/3(-2)+1/2
1<-2/3+1/2
1<-4+3/6
Is false.
Now plug in (-1, 1)
1<-1/3+1/2
Is false.
Now plug in (0, 1/2)
1/2 < 1/2
is false.
Now plug in (3, 1/2)
1/2 < 3(1/3) + 1/2
1/2 < 1 + 1/2 is true.
Hence, (3, 1/2) point is a solution to the inequality y < 1/3x+1/2.
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ7
ACTIVITY
Jump to level 1
Complete the equation involving x. Order terms like the physical situation, and
simplify.
A 4 foot wide painting should be centered on a 12 foot wide wall. How many
feet (x) should be on each side of the painting?
Answers
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
what is congruent angle?
Answers
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 180 degrees. Regardless of the size or scale of a regular polygon, the angle will always be congruent..
Please help and find and explain Claire’s Mistake
Answers
Answer is : Mistake is in step 1
It should be 4 * 10^ 3/ 4* 10^-5
So answer is 1* 10^8
please answer only neeed solve questions
Answers
Answer:
please answer only neeed solve questions
Step-by-step explanation:
I think hlp
Answer: No question asked.
Step-by-step explanation:
If you are making a problem, please actually ask a question. It will use your points if you make questions that don't really mean anything. Thank you.
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answers
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
I need the answers pls!!!!
please
Answers
Answer:
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
Step-by-step explanation:
Given
[tex](4x - 3)(5x - 8)[/tex]
Required
Identify and correct error
The error is when the inner and outer terms are multiplied. i.e.
[tex]4x * -8 = -32x[/tex] not 32x
[tex]-3 * 5x = -15x[/tex] not 15x
So, the expression is:
[tex](4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24[/tex]
[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]
Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find endpoints of a t-distribution with 0.005 beyond them in each tail if the sample has size n
Answers
Answer:
The correct answer is "2.660".
Step-by-step explanation:
Given that,
Sample size,
n = 61
t-distribution with,
t = 0.005
Now,
The degree of freedom will be:
= [tex]n-1[/tex]
= [tex]61-1[/tex]
= [tex]60[/tex]
hence,
⇒ [tex]t,df=t_{0.005}, 60[/tex]
[tex]=2.660[/tex]
SIX is a right triangle with the measure of X = 60° and the measure of I = 90° IF IX = 5. find the length of SX
Answers
Answer:
10
Step-by-step explanation:
Given the following
<X = 60°
I = 90°
IX = 5(Adjacent)
Required
SX (HYPOTENUSE
According to SOH CAH TOA
Cos theta = adj/hyp
Cos 60 = 5/SX
SX = 5/cos 60
SX = 5/(1/2).
SX =5×2
SX = 10
[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]
Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)
A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4
Answers
9514 1404 393
Answer:
C. A horizontal stretch by a factor of 5/4
Step-by-step explanation:
Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.
2
Draw all the lines of symmetry on a diagram of a regular:
a
hexagon
b
heptagon
с
Octagon
Answers
Answer:
hi ahmm.i want to say that it is to draw I thought it is a question but it is actually to draw so u should draw this all shapes
(doesnr let me put 2 pictures) what name length describes the center of the data? (a question to the number line) (i mark brainlist)
Answers
Work it out yourself lad
Answer:
three
Step-by-step explanation:
answer might be 3... shortest name length
What's 60 in the ratio 1 : 4
Answers
Answer:
15/240 = 5/80= 1:16. helpful answer
Answer:
1+4=60
5=60
60/5
12#
Step-by-step explanation:
or,let it be X
1x+4x=60
5x=60
X=60/5
there fore
X=12#
A $7,000 principal is invested in two accounts, one earning 1% interest and another
earning 5% interest. If the total interest for the year is $202, then how much is invested
in each account?
$
at 1% interest
$
at 5% interest
Answers
9514 1404 393
Answer:
$3700 at 1%$3300 at 5%Step-by-step explanation:
For "mixture" problems, I like to let the variable represent the amount of the largest contributor. Here, we can let x represent the amount invested at 5%. Then the amount invested at 1% is (7000-x). The total interest earned is ...
0.05x +0.01(7000 -x) = 202
0.04x = 132 . . . . . . . . simplify, subtract 70
x = 3300
(7000 -x) = 7000 -3300 = 3700 . . . . at 1%
$3700 was invested at 1% interest.
$3300 was invested at 5% interest.
