Answer:
Let p be the number of pens and let n be the number of notebooks.
4 notebooks + 3 pens cost $96 so 4n + 3p = 96
2 notebooks + 2 pens cost $54 so 2n + 2p = 54
We find n and p by solving the system of linear equations:
4n + 3p = 96
2n + 2p = 54
4n + 3p = 96
4n + 4p = 108 (we multiply this by 2 to cancel out 4n in both equations)
We then subtract the two equations:
(4n + 3p) - (4n + 4p) = 96 - 108
-p = -12
p = 12
So, a pen costs 12 dollars. We can use p to find n. We substitute 12 for p in one of our earlier equations:
2n + 2p = 54
2n + 2(12) = 54
2n + 24 = 54
2n = 30
n = 15
So, a notebook costs 15 dollars and a pen costs 12. Now, we need to find the cost of 8 notebooks and 7 pens:
8n + 7p = ?
8(15) + 7(12) = ?
120 + 84 = 204.
Thus, 8 notebooks and 7 pens cost 204 dollars (why is it so expensive lol).
Answer:
204
Step-by-step explanation:
:)
Find angle 1,2,3, and 4 please and thank you
Answer:
i think its 34/1
Step-by-step explanation: because if u plot it by 2
Cage has been given two offers. Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. Which offer is better if Cage can play 8 games in the season?
Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. At what point these two offer's graphs intersect?
(5, 2000000)
(5, 2)
(16, 3600000)
(50, 20000)
Answer:
1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)
Step-by-step explanation:
1.
Since g = 8, p1 = 400000 * 8 = $3,200,000
and p2 = 1250000 + 150000 * 8 = $2,450,000
2.
400,000g = 1,250,000 + 150,000g
250,000g = 1,250,000
g = 1,250,000 / 250,000 = 5.
at g=5, you can use either graph to find the y value.
400,000 * 5 = $2,000,000
(5, 2000000)
Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked
Answer:
0.01024
Step-by-step explanation:
Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;
Number of time slots, n = 5
Required to mark, number of preferred timeslot x = 2
P(x) = 2 /5 = 0.4
Probability of 0.4 that an interviewee gets one of his preferred timeslot.
Probability that each of the 5 interviewees gets one of their preferred time slots :
Using the multiplication rule of independence :
0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024
0.01024 * 100% = 1.024%
Help please it is do in 1hour
Answer:
The area of the triangle is 40 [tex]yd^2[/tex].
Step-by-step explanation:
The formula for finding the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] and [tex]h[/tex] represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be [tex]\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2[/tex].
A cuánto equivale 2/3 de 21
Answer:
2/3 of 21 is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
2/3*21=42/3=14
The hanger image below represents a balanced equation.
Answer:
...
Step-by-step explanation:
j - 19
I'm not sure if it's correct though. Hope it helps.
which number line shows the solution to the inequality below
-4g<4
(look at picture)
Answer:
b
Step-by-step explanation:
make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria
There are 450 students at a middle
school. In a survey, 90 of the students
chose math as their favorite subject.
What percentage of students chose math
as their favorite subject?
A 9%
B 2%
C 20%
D 0.2%
Answer:
C 20 %
Step-by-step explanation:
90/450=0.2
0.2*100=20%
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWER 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
26. H
Step-by-step explanation:
26. An acute angle just has to be less than 90 degrees. Therefore, H is the correct choice.
Please mark as brainliest
Answer:
Angle H
Step-by-step explanation:
Angle H is correct because it is less than 90 degrees. Any angle more than 90º is obtuse. Any angle that is 90º is classified as a right angle.
For example,
Angle I is an obtuse angle.
Angle F is a right angle.
If this helps, please mark Brainliest!
Have a wonderful rest of your day!
A total of 492 lab coats were shared equally
across six departments.
How many lab coats did each department receive?
a70
b80
c82
d118
Answer:
c.82
Step-by-step explanation:
492/6=82
Answer:
Since it was shared equally across 6 dept
Each Department would get 492/6 = 82
Option C.
estimate the following by rounding off the numbers to nearest 100
a)875 + 291 b)866 x 625
Answer:
a 875 is 900 b 866 multiply by 625 ans is 541280
12 ft. 7 ft. what is the Hypotenuse
Answer:
13.89
Step-by-step explanation:
12² + 7² = C
144 + 49 = 193
√193 = 13.89
round it if u want
Which is a true statement?
O A. 48 is 25% of 160.
O B. 32 is 40% of 88.
O C. 40 is 60% of 100.
O D. 72 is 80% of 90.
Answer:
D is the answer
Step-by-step explanation:
90 × 80/100 = 72
Answer:
B. 32 is 40% of 88
Step-by-step explanation:
At first i thought it was D, but 72 is really close to 90.. thats like 90% I'm pretty sure its B. 32 is 40%
Jaclyn bought a PS4 game that was on sale for 20% less than the original price. The original price was $10 more than the sale price.
What was the ORIGINAL price?
Explain your answer.
Answer:
$50
Step-by-step explanation:
If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to [tex]\frac{1}{5}[/tex], multiply $10 by 5 to get the answer of $50.
There are eight boys and seven girls in a class. The teacher randomly selects three different students to answer questions. What is the probability that the first two students are girls followed by a boy?
the probability is 7/15
Step-by-step explanation:
because there are 7 girls and 8 boys
Find the midpoint of the segment with the following endpoints.
(2,9) and (8,1)
Answer:
[tex]\displaystyle (5,5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 9)
Point (8, 1)
Step 2: Identify
(2, 9) → x₁ = 2, y₁ = 9
(8, 1) → x₂ = 8, y₂ = 1
Step 3: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{2+8}{2},\frac{9+1}{2})[/tex][Fractions] Add: [tex]\displaystyle (\frac{10}{2},\frac{10}{2})[/tex][Fractions] Divide: [tex]\displaystyle (5,5)[/tex]Solve for m
13x - 10
M
N
7x - 10
Answer:
x = 10
Step-by-step explanation:
Given:
Arc LM = 13x - 10
Arc MN = 7x - 10
Required:
Solve for x
Solution:
Recall: half a circle = 180°
Therefore,
Arc LM + Arc MN = 180°
13x - 10 + 7x - 10 = 180
Add like terms
20x - 20 = 180
20x - 20 + 20 = 180 + 20
20x = 200
20x/20 = 200/20
x = 10
3 toys cost x kobo. How many toys can be bought with #3.00?
ooooooooooooooooooooooof
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1. SALES TO CUSTOMERS ONLY; RESTRICTIONS ON USE
The Kobo Service sells licenses to literary works (“Digital Content”) to end user customers that have created a Kobo account (“you” or “Customer”) only. All Digital Content on the Kobo Service is the exclusive property of the publisher or its licensors and is protected by copyright and other intellectual property laws. The download of, and access to Digital Content is available only to Customers and is intended only for your personal and non-commercial use. Any other use of Digital Content downloaded or accessed from the Kobo Service is strictly prohibited. You may not modify, transmit, publish, participate in the transfer or sale of, reproduce, create derivative works from, distribute, perform, display, or in any way exploit, any of the content of any Digital Content, in whole or in part. By downloading or otherwise accessing Digital Content from the Kobo Service, you hereby acknowledge and agree to these terms.
Step-by-step explanation: i hope this help
what is the volume of the aquarium
Answer:
i'll answer for real when I see the image ^^ this is just for reservation lol- dw i won't bail out.
Step-by-step explanation:
Plz help me well mark brainliest if you are correct!..
Answer:
8
Step-by-step explanation:
all numbers must be positive when you have the lines on the side
Answer:
8
Step-by-step explanation:
please help
thank you
Answer:
Step-by-step explanation:
-4<n≤5
How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?
Answer:
x = 6 1/4
y = 3 3/4
Step-by-step explanation:
let 'x' = gallons of 6% nitrogen
let 'y' = gallons of 30% nitrogen
system of equations:
x + y = 10; let y = 10-x
6x + 30y = 10(15)
substitute '10-x':
6x + 30(10-x) = 150
6x + 300 - 30x = 150
-24x = -150
x = 6 1/4
y = 3 3/4
7. A recent report states that 89% of Americans consider themselves above average drivers. A local newspaper is planning on conducting a survey to investigate whether this is true locally. If the newspaper assumes that the 89% claim is true and plans to use the normal approximation to calculate probabilities associated with their sample proportion, which sample size would be most appropriate
The available options are
A) 10
B) 11
C) 30
D) 91
E) The number depends on the size of the population.
Answer:
91
Step-by-step explanation:
Given that for the normal approximation, we need that:
np > 5 and np(1-p) > 5
Hence, we have
n = 91
91*0.89 = 80.99
91*0.89*0.11 = 8.9089 > 5
Therefore the answer gotten is satisfactory or satisfies the condition, and which makes 91 the accurate solution.
The other options, when calculated is less than 5
Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?
Answer:
its a
Step-by-step explanation:
Which word best describes the degree of overlap between the two data sets?
none
moderate
high
low
Answer:
Moderate
Step-by-step explanation:
I think sorry if its wrong
Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.69 with a standard deviation of $0.11. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of $3.69, standard deviation of $0.11.
What is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91?
3.47 = 3.69 - 2*0.11
3.91 = 3.69 + 2*0.11
So the minimum percentage within 2 standard deviations of the mean, which by Chebyshev's Theorem, is of 75%.
Answer:75%
Step-by-step explanation:
If a student scored in the upper quartile, they received a treat from Mrs. Jones. What is lowest score they can earn and receive a treat?
Can someone please help me out
Three vertices of a square are shown on the grid.
y
9
8
7
6-
5
4
3
2
.
1
0
3
4
S
6
8 19
What are the coordinates of the missing vertex? Enter the answer in the boxes.
Answer:
(3,8)
Step-by-step explanation:
you are missing the top-left coordinate of a square, so since it is a square the bottom-left plot woulf give you x, and toyr top-right would give you y.
(6,-5) is a point on the terminal side of 0. Find the exact values of cos0, csc0, and tan0.
point (6, -5) => x = 6, y = -5
r =√6² +(-5)² = √(36+25)=√61
the exact value of :
cos 0 = x/r = 6/√61 = 6/61 √61
csc 0 = r/y = √61/(-5) = -1/5 √61
tan 0 = y/x = -5/6
Answer:
Solutions given:
(6,-5)=(x,y)
r=[tex]\sqrt{6²+(-5)²}=\sqrt{61}[/tex]
Now
Sin θ=[tex] \frac{y}{r}[/tex]=[tex] \frac{-5}{\sqrt{61}}[/tex]
Cosθ=[tex] \frac{x}{r}[/tex]=[tex] \frac{6}{\sqrt{61}}[/tex]
CSC θ=[tex] \frac{r}{y}[/tex]=[tex] \frac{\sqrt{61}}{-5}[/tex]
Tan θ=θ=[tex] \frac{y}{x}[/tex]=[tex] \frac{-5}{6}[/tex]
Note:
p=y
b=x
h=r
Five people are going to the
amusement park where parking costs
$22 and the total cost overall for
admission and parking was $234.50.
Create an equation to solve for the
cost of a ticket.