Joanna went school supply shopping. She spent $21.45 on notebooks and pencils. Notebooks cost $1.97 each and pencils cost $1.16 each. She bought a total of 15 notebooks and pencils. How many of each did she buy?
A.
5 notebooks; 10 pencils
B.
3 notebooks; 12 pencils
C.
8 notebooks; 7 pencils
D.
10 notebooks; 5 pencils
Answer:
A) 5 notebooks, 10 pencils
Step-by-step explanation:
n = notebook
p = pencil
1.97n + 1.16p = 21.45
A)✅
1.97(5) + 1.16(10) = 21.45
9.85 + 11.6 = 21.45
21.45 = 21.45
B) ❌
1.97(3) + 1.16(12) = 21.45
5.91 + 13.92 = 21.45
19.83 = 21.45
Define the following: mean, median and mode.
Answer:
mean is basically the average, you add all the values togheter and then divide the sum by the number of values
the median is the number in the middle if you put all the values in the correct order from least to greatest.
mode is the value that's repeated the most! hope this helps!
Step-by-step explanation:
If Ethan continues to pay $5 per week, how many more weeks will he
need to pay his mother after 12 weeks? Explain.
Answer: Not 100% sure, but I think its $60.
Step-by-step Explanation: 5 x 12 = 60
Please help iv'e bee stuck on this question for soo long
Answer:
A. 2,3,5,5,6,7,8,8,11
Step-by-step explanation:
When looking at the box plot, we see that the median is 6 (the horizontal line). So, B and D can be ruled out. Next, the values must range from 2 to 11 (the dots). So, C can be ruled out. Therefore, the only answer left is A! To check your work, you can calculate quartiles but it's not necessary.Plz help I was in the hospital and I am behind in math now. How do I show my work for this?!
Answer:
-16
Step-by-step explanation:
[tex]28-(\sqrt{44} )^2\\28 - (44)\\-16[/tex]
When you square a square root, the number inside is the answer.
which estimate is closest to the time it would take the ball to hit the ground?
pls help
Answer:
c
Step-by-step explanation:
Decide whether the sequence 4,10,20,34,52 ....... is a linear model,
Quadratic model or cubic model.
Answer:
Lineal.
Step-by-step explanation:
To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:
4 to 10 = +6
10 to 20 = +10
20 to 34 = +14
34 to 52 = +18
Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.
Therefore, since there is no quadratic or cubic relationship, the sequence is linear.
NO LINKS!!!!!!!!! please solve it and explain it.
Answer:
2
Explanation:
You have to calculate the rise over run. See how many times it rises from the bottom. Then see how many times it takes horizontally to get to the next corner. Not sure if this helped but I tried sorry lol (but dw the answer is correct)
Graph the data. Then find and interpret the slope of the line through the points.
Answer:
4. The slope is 1.5 pages per minute
The interpretation is 1.5 pages takes 1 minute to complete
5. The slope is 135 Calorie per mile
The interpretation is 135 calories of energy is required or used in traveling a distance of 1 mile
Step-by-step explanation:
4. The given data are;
Minutes, x; 0, 1, 3, 5
Pages, y; 0, 1.5, 4.5, 7.5
The graph of the data created with MS Excel is included
From the graph, we have;
The slope is given by the rate of change of the y-values to the change in the x-values of the data
∴ Slope = Δy/Δx
[tex]The \ slope =\dfrac{\Delta y }{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} = \dfrac{7.5 - 1.5}{5 - 1} = 1.5[/tex]
The slope = 1.5 pages per minute
The interpretation of the slope is that the number of pages completed per minute is 1.5 pages
5. The given data are;
Miles, x; 0, 1, 2, 3
Calories, y; 0, 135, 270, 405
Please find attached the graph of the data created with MS Excel
From the graph, the slope = Δy/Δx = (270 - 135)/(2 - 1) = 135
The slope = 135 Calorie per mile
The interpretation of the slope is it takes 135 calories to complete 1 mile or vice versa.
(2,4) translated two units down
Answer:
(2,2)
Step-by-step explanation:
Answer:
(2,2)
Step-by-step explanation:
4 is the y value so if it goes down 2 units, it would be 2
Which of these lengths CANNOT represent the sides of a triangle? {28, 30, 58} {32, 34, 60} {13, 20, 27} {2, 4, 5}
Answer:
[tex]A.\ {28, 30, 58}[/tex]
Step-by-step explanation:
Required
Which of the lengths do not form a triangle
To do this, we make use of triangle inequality theorem which states that.
[tex]a + b > c[/tex]
[tex]b + c > a[/tex]
[tex]a + c > b[/tex]
Where [tex]a,\ b\ and\ c[/tex] are the sides of the triangle.
So, we have:
[tex]A.\ {28, 30, 58}[/tex]
[tex]28 + 30 > 58[/tex] --- False
[tex]58 + 30 > 28[/tex] --- True
[tex]28 + 58 > 30[/tex] --- True
[tex]B.\ {32, 34, 60}[/tex]
[tex]32 + 34 > 60[/tex] -- True
[tex]32 + 60 > 34[/tex] -- True
[tex]34 + 60 > 32[/tex] -- True
[tex]C.\ {13, 20, 27}[/tex]
[tex]13 + 20 > 27[/tex] -- True
[tex]13 + 27 > 20[/tex] -- True
[tex]20 + 27 > 13[/tex] --- True
[tex]D.\ {2, 4, 5}[/tex]
[tex]2 + 4 > 5[/tex] --- True
[tex]2 + 5 > 4[/tex] -- True
[tex]5 + 4 > 2[/tex] --- True
From the computations above, only (A) cannot form a triangle
I got HBIA buh ig I got it wrong
A number is 11 less than 3 times another number. The sum of the numbers is 25. What are the two numbers?
Answer:
(9 and 16)
Step-by-step explanation:
Look in the comments for explanation!
What is the name of the polynomial, 3x³ +2x + 4?
Answer:
cubic trinomial
Step-by-step explanation:
can I have brainllest
could someone please help me...... this is hopeless.....
Answer:
Here, I graphed this especially for you.
Step-by-step explanation:
Check the attachment.
4t+2m what is the correct awnser
Answer: (I don't know what you want) The answer to the expression is 4t+2m. It can't simplify any further.
Step-by-step explanation:
Answer:
but what is the question?
Express 60 km/h in metres per second.
Answer:
16.667 metres per second
Tara is the costume manager for a large theater company she has 15 different hats, including 6 berets what’s is the probability that a randomly chosen hat from taras inventory will be a berets
Answer:
2/5
Step-by-step explanation:
probability it is a beret = total number of berets / total number of hats
6/15
To transform to the simplest form. divide both the numerator and the denominator by 3
2/5
Help please! Will give brainiest if correct!
Find the slope of the line. Write your answer in simplest form.
Answer:
find the two points on the graph and do rise over run
Step-by-step explanation:
go to point (-2,0) and then go up and over to point (2,3)
A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?
Answer:
a(4) = 1.5(-36) = -54
Step-by-step explanation:
a(1) = -16 is given.
a(n) = 1.5*a(n-1).
a(2) = 1.5(-16) = -24
a(3) = 1.5(-24) = - 36
a(4) = 1.5(-36) = -54
[tex]\huge{\mathbb{\tt { QUESTION:}}}[/tex]
A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]
[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]
[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]
[tex]a(1) = - 16 \\ a(n) = 1.5 \times a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36 [/tex]
[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]
#CarryOnLearning
#LetsEnjoyTheSummer
→X x K i m 0 2 x XDmitri's mom is making him a tent to use for backyard camp outs with his friends.
Answer:
The answer is 21.4.
Step-by-step explanation:
Hope this helps!
Answer:
21.4 is correct =)
Step-by-step explanation:
The number of 8-ounce glasses of water Shane drank each day for 12 days is represented in
this histogram.
Glasses of Water Drank
Number of Days
72 3-4 5-6 7-8
Number of 8-ounce Glasses
Based on this histogram, which statement must be true?
A On exactly 2 of these days, Shane drank 1 to 2 glasses of water.
BOn exactly 3 of these days, Shane drank 7 to 8 glasses of water,
C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.
Don exactly 60% of these days, Shane drank 5 to 6 glasses of water
The histogram representing the data is attcwhwd in the picture below.
Answer:
C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.
Step-by-step explanation:
The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.
From the histogram ;
Shane drank 1 - 2 glasses on exactly 1 day
Shane drank 3 - 4 glasses on exactly 3 days
Shane drank 5 - 6 glasses on exactly 6 day
Total number of days = 12
60% of 12 = 7.2
On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram
25% of 12 ; 0.25 * 12 = 3 days
From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.
A central angle of a circle measures 42 degrees. What else can be shown to measure 42 degrees?
Answer:
Vertically opposite angles
Step-by-step explanation:
Given
[tex]\theta = 42^\circ[/tex]
Required
What else can measure [tex]\theta = 42^\circ[/tex]
The question has missing options. So, I will give a general explanation.
Using the attached image as a point of reference.
Given that:
[tex]\theta = 42^\circ[/tex]
The value of b is calculated as:
[tex]b = \theta[/tex]
Because b and [tex]\theta[/tex] are vertically opposite angles
This gives:
[tex]b = 42^\circ[/tex]
So, one possible answer to the question is a vertically opposite angle
Derek has 4.8 pounds of potting soil and some flower pots. He puts 0.8 pound of soil in each pot, and he uses all of the soil. Derek draws this model to show how many flower pots he can fill.
Answer:
Derek uses 6 pots in total
Step-by-step explanation:
4.8/0.8 = 6
HELP PLEASEE EMERGENCY
I WILL GIVE BRAINIEST
Answer:
The answer is 2
Step-by-step explanation:
-3+1/-1+0 = -2/-1 = 2 .
Good luck .
Ok as you can see for the x row, the number increase by 1.
For the y row, it increase by 2.
So your slope will be 1/2 and it’s positive sine both x and y is positive.
A car traveled 180 kilometers in 3 hours. Which statement best describes the distance traveled by the car per hour?
Answer:
speed= 60km/h
Step-by-step explanation:
Given data
Distance= 180kilometers
Time= 3 hours
We know that the expression for the speed is
Speed= distance/time
Speed= 180/3
Speed= 60 km/h
Hence the answer is speed= 60km/h
There were 63 boys trying out for basketball. They were placed into d groups. How many boys were in each group, in terms of d?
The growth of a certain bacteria can be modeled by C(t) = 100(1.03)^24t, where C(t) is the total number of bacteria after t hours. Which function is approximately equivalent to C(t)?
A) C(t) = 100(2.03)^t
B) C(t) = 2,400(2.03)^t
C) C(t) = 100(2.03)^t/24
D) C(t) = 2,400(2.03)^t/24
Answer:A
Step-by-step explanation:
Camilla has $5 to spend in the market.
She buys 1 1/2 kilograms of bananas priced at 80 cents per kilogram and 3 yams priced at 45 cents each.
How much money does she have left?
Write the log equation as an exponential equation. You do not need to solve for x.
log(x+2) (4x) = 3x + 2
Please answer ASAP
Answer:
Step-by-step explanation:
(2x) (4x)= 8x = 3x+2
i think but i dont know if this is an exponential equation