Answer:
Let hardcover book be x
Let paperback book be y
2x+3y=$118....Equation 1
3x+2y=$137.... Equation 2
Solve for x and y using simultaneous equation
Using elimination method
2x+3y=118......×3
3x+2y=137......×2
6x+9y=354
6x+4y=274
9y-4y=80
5y=80
y=80÷5=16
substituting y=16 into equation 1
2x+3(16)=118
2x+48=118
2x=70
x=70÷2=35
Therefore hardcover costs $35 each
paperback cover costs $16 each
. There are 402 students at Brook Park School. About 24% of the students have attended a different school at some time before. About how many students came to Brook Park from another school?
Given,
out of 402 students 24%have attended a different school at some time before.
= 402×24
1 100
= 201×24
1 50
= 201×12
1 25
=2412
25
=96.48
Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.
Answer:
i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14
Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
perpendicular?
Answer:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect
Can someone plz help me with this the answer choices are at the bottom plz I beg u
Answer:
Step-by-step explanation:
What is the slope and y-intercept of the line y = 3x - 7?
Group of answer choices
The slope of the line is -7, and the y-intercept is (0, 3).
The slope of the line is 3, and the y-intercept is (0, -7).
Plz help ASAP!!!!
The slope of the line is -3, and the y-intercept is (0, 7).
The slope of the line is 7, and the y-intercept is (0, -3).
[tex]==================================[/tex]
the given equation is written in slope-intercept form, which looks like so:
[tex]\pmb{y=mx+b}[/tex]
where
[tex]\pmb{m}[/tex] is the slope of the line
[tex]\pmb{b}[/tex] is the y-intercept of the line
in order to determine the slope & the y-intercept, just look at the equation:
[tex]\pmb{y=3x-7}[/tex]
slope: [tex]\pmb{3}[/tex]
y-intercept: [tex]\pmb{-7}[/tex] or ( [tex]\pmb{0, -7}[/tex])
[tex]===================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.
A roll of quarters is shaped like a cylinder and contains 40 each quarter has a thickness of 1.75 and a diameter of 24.26 mm What measurement would be the closest to the volume of one roll of quarters in cubic millimeters
A) 5,335mm
B) 6,256mm
C) 129,428mm
D) 32,357mm
Answer:
D) 32,357mm^3
Step-by-step explanation:
Given
[tex]Quarters = 40[/tex]
[tex]Thickness = 1.75mm[/tex]
[tex]diameter = 24.26mm[/tex]
First, we calculate the volume of 1 roll.
The volume of the cylinder is:
[tex]V = \pi r^2h[/tex]
Where
[tex]r = \frac{1}{2} * diameter[/tex]
[tex]r = \frac{1}{2} * 24.26mm[/tex]
[tex]r = 12.13mm[/tex]
And the thickness represents the height.
So:
The volume is:
[tex]V = 3.142 * 12.13^2 * 1.75[/tex]
[tex]V = 809.03mm^3[/tex]
The volume of the 40 is:
[tex]Roll= 40 * 809.03mm^3[/tex]
[tex]Roll=32361.20mm^3[/tex]
The closest option is (d):
Plz answer I'll give brainliest
Answer:
900<x<1100
Step-by-step explanation:
The third side must be greater than the difference of the other two sides
10000- 1000 < 10x
9000< 10x
Divide by 10
9000/10 < x
900 < x
The third side must be smaller than the sum of the other two sides
10000+1000 > 10x
11000>10x
Divide by 10
11000/10>10x/10
1100>x
900<x<1100
in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51
Your answer is:
C) 53
THANK YOU!!
∝ Sidhdi
Max picked out an old Star Wars puzzle to put together. Out of the 250 pieces, he was missing 15.
What percentage of the pieces was he missing?
Answer:
ummm... like 6% Convert fraction (ratio) 15 / 250 Answer: 6%
Step-by-step explanation: i have brain i use it some times
Help plsss
Calculate the area
Answer:
140 feet squared
Step-by-step explanation:
Let's do this step by step. First, let's find the area of the rectangle, which is 8 times 10. It equals 80. Next, do the trangle. 6 times 10 is 60. So, 60 plus 80 equals 140.
Answer:
area of rectangle =L*B
8*10=80ft^2
area of triangle=1/2b*h
h is 8 ft
1/2*6*8
3*8
24ft^2
total area is 80+24
104ft^2
nearest tenth = 100 ft^2
The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).
Use your understanding of simultaneous equations to determine the unknown
dimensions.
Find the area of the rectangle.
in the sequence: 67, 55, 46, 34, 25,…, what number should come next?
a) 16
b) 13
c) 15
d) 19
Answer:
b) 13
Step-by-step explanation:
67 - 55 = 12
55 - 46 = 9
46 - 34 = 12
34 - 25 = 9
25 - x = 12
rearrange that so,
25 - 12 = x
x = 13
Answer:
b) 13
Step-by-step explanation:
67 - 12 = 55
55 - 9 = 46
46 - 12 = 34
34 - 9 = 25
pattern: subtract 12, subtract 9
the pattern tells us to subtract 12, so take take 25 and subtract 12 from it:
25 - 12 = 13
A blood sample has 50,000 bacteria present. a drug fights the bacteria such that every hour the number of bacteria remaining, r(n), decreases by half. If r(n) is an exponential function of the number, n, of hours since the drug was taken, find the bacteria present four hours after administering the drug.
Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.
Enter the value for that makes the given equation true.
20−5(6+4)=4−6
Answer:
hi, there is no variable
Which characteristics best describe an acute isosceles triangle
Answer:
answer is A i and iv
two sides meet at 90°
two sides are equal in lenght
The conference had 45 people and it increased by 40% the second day. How many more people came on that second day?
Answer:
Number of people in the conference on first day = 45
It increased by 40% the second day.
To find:
The number of people in the conference on second day.
Solution:
The conference had 45 people and it increased by 40% the second day. So,
Number of people in the conference on second day [tex]=45+40\%\ of\ 45[/tex]
[tex]=45+\dfrac{40}{100}\times 45[/tex]
[tex]=45+18[/tex]
[tex]=63[/tex]
Therefore, the number of people in the conference on second day is 63.
What is 23 fl oz = ______ c
Answer:
2.875c
Step-by-step explanation:
Which expression is equivalent to 99 + 22? A. 11(9) + 2(1) B. 11(9 + 2) C. 9 + 2(11) D. (8 × 9) + (6 × 7)
Answer:
B
Step-by-step explanation:
They both equal 121
Can somebody help me?
Answer:
x = -3
y = 3
Step-by-step explanation:
C = (-3,3)
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
SELECT ALL THAT APPLY!!!///// answer ASAP pls
Answer: Its the first and third one.
Step-by-step explanation: Lol nope
Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°.
Determine the measure of ∠ BCD.
Answer:
Angle BCD = 73 + 53 = 126 degrees
Step-by-step explanation:
Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
The diagram below shows a rectangle inside of a regular hexagon. the apothem of the hexagon is 17.32 units. to the nearest square unit, what is the area of the shaded region?
Answer:
your answer will be A)719 units²
Step-by-step explanation:
hope it helps ^_^
For ΔJNM, the following facts are given: KL || MN
KL = 8 ft MN = 10 ft JL = 3.2 ft MK = 1.5 ft
Answer the following:
a) Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem. b) Find the length of JN. Show all your work.
c) Find the length of JK. Show all your work.
d) What is the area ratio of ΔJNM to ΔJLK? Show all your work.
Answer:
I havn't gotten c and d yet, but:
a) They are similar because of the Angle Angle Theorem
b) JN=4ft
Sixth grade
R.
Are the ratios 5:10 and 2:4 equivalent?
Yes, 5:10 and 2:4 are equivalent.
5:10 (simplified) = 1:2
2:4 (simplified) = 1:2
Hope this helps; have a great day!
Answer:
Yes
Step-by-step explanation:
5:10 is equivalent to 2:4
Both can be simplified to 1:2
Please someone help me with this... and please thouroughly explain, i have no clue what to do.
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.
The mall is 6 miles west of the highway. The hospital is 12 miles west of the mall. How far, and in what direction, is the hospital from the highway?
Answer: 18 miles west
Step-by-step explanation:
The mall is west of the highway.
The hospital is then west of the mall.
If the hospital is west of the mall which is already to the west of the highway, the Hospital must be west of the highway as well.
The hospital is 12 miles west of the mall which is then 6 miles west of the highway. As they are both west, it is a continuous distance and we can simply add their distances up and assume the distance is linear.
The distance between the hospital and the highway is therefore:
= 12 + 6
= 18 miles west
[tex] x - 25 = 0[/tex]
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
250 represent the amount of money that they started off with
1.05 represent how much the money in the account is increasing by
and x represent the amount of months that have passed
Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°