Answer:
Each book cost about $6.20 per book, or in more general terms, $6 per book.
Step-by-step explanation:
If you round the $30.85 total of 5 books to $31 and divide that by 5, you get an average cost of $6.20 per book.
If you need a more general answer, you could round the $30.85 total of 5 books to $30 and divide that by 5, you get an average cost of $6 per book.
WILL MARK BRAINLIEST
Answer:
3x 10^4 NOT NEGATIVE! POSITIVE
A water balloon is launched in the air from a height of 12 feet and reaches a maximum height of 37 feet after 1.25 seconds. Write an equation to represent the height h of the water balloon at time t seconds. Then, find the height of the balloon at 2 seconds.
The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the water balloon after t minutes, hence:
h(t) = -16t² + vt + h₀
Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:
h(t) = -16t² + vt + 12
The height of 37 feet after 1.25 seconds, hence:
37 = -16(1.25)² + v(1.25) + 12
v = 40 m/s
h(t) = -16t² + 40t + 12
After 2 seconds:
h(t) = -16(2)² + 40(2) + 12
h(2) = 28 feet
The height of the balloon at 2 seconds is 28 feet
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A spring with spring constant 380 N/m has a force of 37 Newtons applied to it (stretching it). How much does the spring stretch?
Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm
To answer the question, we need to know Hooke's law.
What is Hooke's law?This states that the force, F on a stretched spring is directly proportional to its extension, x.
So, F ∝ x
Mathematically, F = kx where k = spring constant
The extension of the spring(How much the spring stretches)Making x subject of the formula, we have
x = F/k
Given that F = 37 N and k = 380 N/m, we have
x = F/k
x = 37 N/380 N/m
x = 0.0974 m
x = 9.74 cm
So, the spring stretches by 9.74 cm
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Inflation will negatively affect your savings if it:
O A. Increases faster than your savings.
B. is deducted from your savings every paycheck,
C. Increases slower than your savings.
O D. is added to your savings every paycheck.
Inflation will negatively affect your savings if it increases faster than your savings.
How does inflation affect your savings?
Inflation is when there is a persistent rise in the general price levels of an economy.
Savings is negatively affected if it increases faster than the rate of growth of ones savings. For example, if inflation increases at a rate of 20% and your savings increase by 10%. Te real increase in savings is 10% - 20% = -10%.
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Answer:
A. Increases faster than your savings
Hope this helps :)
please help with this
Answer:
A
a notebook costs $2.50
a poem costs $1.50
B
he can buy 3 pens (and correspondingly 9 notebooks)
Step-by-step explanation:
x = price of 1 notebook
y = price of 1 pen
4x + 3y = 14.5
5x + 6y = 21.5
let's multiply the first equating by -2 and then add both equations
-8x - 6y = -29
5x + 6y = 21.5
----------------------
-3x 0 = -7.5
x = 2.5 = $2.50
4×2.5 + 3y = 14.5
10 + 3y = 14.5
3y = 4.5
y = 1.5 = $1.50
p = number of pens
n = number of notebooks
n = 3p
p×1.5 + n×2.5 = 27
p×1.5 + 3p×2.5 = 27
(1.5 + 7.5)p = 27
9p = 27
p = 3
1. Can we add any two matrices
together? If so, explain why; if
not, explain why not and give an
example of two matrices that
cannot be added together.
Step-by-step explanation:
If we add two matrices,
there rows and columns must be the same.
For example, consider matrix
[tex] \binom{4}{2} \binom{1}{3} + \binom{5}{9} [/tex]
we cant add these matrices by the first martix had 2 colums and 2 rows.
The second has 1 column and 2 rows.
Which ordered pair is shown on the graph?
6
5
4
3
2
1
COL + 0
1 2 3 4 5 6 7
Enter the number that belongs in the green box.
([?],[)
Answer:
4
Step-by-step explanation:
(4,5)
Solution:First, check the x-coordinate of the point.The x-coordinate is 4 (that's the number that belongs in the green box).Now, check the y-coordinate.It is equal to 5.Remember, coordinates look like this:(x,y)Hope it helps.
Do comment if you have any query.
[tex]If \: \: a + \frac{1}{a} = 3 \: prove \: that \: {a}^{2} \frac{1}{ {a}^{2} } = 7[/tex]
.....................
Answer -
a+1/a = 3 -----(1)
a²+1/a² = 7
By doing square of equation 1
(a+1/a)² = 9
a²+1/a²+ 2 ×a × 1/a = 9 using (a+b)²=a²+b²+2ab
a²+1/a²+2=9
a² + 1/a² = 9-2
a²+1/a²= 7 Ans.
a game company sold 82 bored games and 18 card games. What is the ratio of the number of bored games to the total number of games
Answer: 82:18 or 4.55:1
Expl:
The ratio of something describes how many x per y.
Here, we have 82 Board Games sold VS 18 Card Games.
The exact Ratio of BG to CG is 82:18 and when simplified you may find 4.55:1, by dividing 82/18, and checking with 4.55x18=82.
Hope this Helped!
If a giraffe eats 75 pounds of acacia leaves a day, how many grams would that be?
Answer:
34,050 grams
Step-by-step explanation:
To convert pounds to grams, you must multiply the mass (75) by 454.
454 * 75 = 34,050
34,050 grams is equal to 75 pounds.
Hope this helps:)
Please help me solve
Answer:
x = 36.3°
using tane rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here!
x = missing angleopposite = 22adjacent = 30=============
[tex]\hookrightarrow \sf tan(x) = \dfrac{22}{30}[/tex]
[tex]\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )[/tex]
[tex]\hookrightarrow \sf x= 36.253^{\circ \:}[/tex]
[tex]\hookrightarrow \sf x= 36.3^{\circ \:}[/tex] ( rounded to nearest tenth of a degree)
Let's find
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{22}{30}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{11}{15}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=0.734[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(0.734)[/tex]
[tex]\\ \rm\Rrightarrow \theta=36.278°[/tex]
[tex]\\ \rm\Rrightarrow \theta=36.3°[/tex]
Simplify. 4 4/5 - 3 2/5
A. 1 1/5
B. 1 2/5
C. 7 6/5
D. 8 1/5
Answer:
3/2= 1 1/2
Step-by-step explanation:
simply 3/2 as a decimal
The product of two consecutive odd integers is 1155. Determine the integers.
Answer:
Two possibilities --- see below
Step-by-step explanation:
x first number x+2 the next number
x * (x+2) = x^2 + x = 1155
x^2 +2 x - 1155 = 0 Quadratic formula shows
x = 33 then 33, 35
or x = -35 then -35 , - 33
Which is the graph of f(x) = 100(0.7)^x?
Answer:
y = 0
Here's the graph:
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
factor the expression 90+36
Answer:
18 is the factor of 90 and 36 the rest are 1,2,3,6,9 hope it helps:)
Step-by-step explanation:
Evan is thinking of a number that contains the digit 2. The digit 2 in Evan's number has 10 times the value of the digit 2 in the number 328,907.
Which number could be the number that Evan is thinking of?
127,905
145,298
290,837
352,987
HELP PLEASE!!!!!!
Answer:
The answer is 290,837
Round 6.385 to the nearest half.
Simplify the expression.
Answer:
the answer is A or 0√5
hope it helps
BYE
Find the product of the sum of 76 and 13 and the difference of 92 and 49.
3827
hope it helps...!!!
A rectangle has a height of 4 and a width of x^2+3x+2
Answer: The area of this rectangle is x² + 12x + 8
Step-by-step explanation:
Area of a rectangle:
A = L * W
A = L * W
A = 4 * (x² + 3x + 2)
A = 4x² + 12x + 8
Help help help math math
Answer:
-2
Step-by-step explanation:
(-3x/2) - 3 = 3
add 3 to both sides
(-3x/2) = 3
multiply both sides by 2
-3x = 6
divide both sides by -3
x= -2
Please help, I need this asap
Answer:
it's 10
Step-by-step explanation:
A ratio of 2:5 means it is probably counting by 5s. Since 5 X 5 equals 25, 2 X 5 equals 10. since ethe larger polygon is 25, this means the number can't be bigger than 25 so it is counting by fives.
Select the correct answer.
Simplify the following expression.
7-8.77
A.
1
14
B.
49
O C. 14
D.
1
49
Answer:
B=49
Step-by-step explanation:
multiply means add powers
Nevada is almost twice the size of which country?
A. Algeria
B. Mauritania
C. Kenya
D. Democratic republic of the Congo
Answer:
Nevada is very small compared to the countries listed below. I don't understand.
Mike was playing center field when he turned and ran to catch a fly ball that went to the wall, 390 feet from home plate. A camera behind home plate recorded the action. How many feet did Mike have to run to make the catch if the camera turned 9°?
A.112 ft
B. 123 ft
C. 90 ft
D. 121 ft
Vectors u and v are shown on the graph.
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. What price would you pay for each bond if you purchased one of them today? (Remember the face value is $1000.) a. ABC: $1047.50 XYZ: $1005.00 b. ABC: $1104.75 XYZ: $1100.50 c. ABC: $872 XYZ: $983 d. ABC: $750 XYZ: $840
Answer:
It’s c
Step-by-step explanation:
Bond A and C the annual interest rate is 1.126%.
Bond X and Y the annual interest rate is 1.25%.
What is Annual Interest?The interest rate on a credit card is the cost of borrowing money. Interest rates on credit cards are often provided as an annual rate. This is known as the annual percentage rate (APR). You can avoid paying interest on purchases on most cards if you pay your amount in full each month by the due date.
The formula for Bond Coupon Rate
Bond Coupon Rate = Bond's current yield / 100
For bond A and C coupon rate is 7.5%.
For X and Y coupon rate is 8.4%.
Now, Annual Interest Rate
= Bond coupon rate x Bond's Face value
For bond A and C the annual interest rate
= 7.5% of $15
= $1.125
For bond X and Y the annual interest rate
= 8.4% of $15
= $1.26
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PLEASE HELP PLEASE HELP PLEASE
Answer:
384 cm
Step-by-step explanation:
Perimeter is the sum of all external sides. (do not mix this up with area. Perimeter is the easy one) :)
There are 4 external sides.
Top = bottom = 132 cm
Left = Right = 60 cm
Add all 4 sides:
2(132) + 2(60)
264 + 120 = 384 cm
What is the equation of the circle?
Answer: C: (x - 4)² + (y+2)² = 25
Step-by-step explanation:
The formula for a circle is: (x - h)^2 + (y - k)^2 = r^2
Using this, the formula should be:
C: (x - 4)² + (y+2)² = 25
Graphing a linear equation of the form y=mx how do I plot y=-2x
a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)
when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points