The number of books the library holds before it received the grant is 17,312 books
Let the original number of books in the library be x
If the State Library received a three-year grant to add 69,678 books to their collection, the total number of books will be x + 69,678If during a used book sale, the library sold 430 books, the remaining books will be (x+69,678) - 430 = x + 69,248If the collection now is five times more than the original number of books, then;
x + 69,248 = 5x
5x - x = 69,248
4x = 69,248
x = 69,248 /4
x = 17,312
Hence the number of books the library holds before it received the grant is 17,312 books
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Shanice won 88 pieces of gum playing the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 8 remaining. How many students are in her class?
Equation:
Answer:
Steps to solve:
Answer:
20
Step-by-step explanation:
88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.
22 - 2 = 20
5 friends are sharing 8 pieces of pizza equally.How many pieces will each friend get to eat?
Answer:
8÷5 = 1 . 6
Step-by-step explanation:
They will divide the pizzas into 5 pieces further
You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.
It should be noted that the excess reserves can increase the firm's value and the shareholders value.
Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.
In conclusion, the excess reserves can be used in generating further income for the company.
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Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line
Answer:
parallel line: y=-3x+14
perpendicular line: y=1/3x +2/3
Step-by-step explanation:
For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)
what would the equation be?
Answer:
y = -2x + 30
Step-by-step explanation:
Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30
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Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7
Answer:
Step-by-step explanation:
Option A
(-2)(-49)
=2×49
=98
Option B
(4)(-27)
=-108
Option C
(-7)(14)
=-98
Option D
(-9)(11)
=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!
Tell if each statement about the equations y = log5x and y = 5% are true or false.
Explain your answers.
a) The graphs of the equations are symmetric to each other over line y = 0.
b) The equation y = 5* is the exponential form of y = log5x.
c) The functions are not inverses of each other.
d) The equations are symmetric over the line y = x.
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
[tex]\frac{54}{75} = 72[/tex]
54 out of 75 is a percentage of 72%.
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Hope this helps!
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The percentage of the goal did he achieve will be 72%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.
The percentage of the goal did he achieve will be calculated as,
P = (54 / 75) x 100
P = 0.72 x 100
P = 72%
The percentage of the goal did he achieve will be 72%.
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which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)
Answer:
sin ( 180* + x ) = - x
Step-by-step explanation:
This is the correct answer
what is 850000+21195=
Answer: 871195
Step-by-step explanation:
Describe how to transform the graph of f(x)=x2 to obtain the graph of the related function g(x)=−2(x+1)2+1. Then draw the graph of g(x).
Answer:
to go from y=x² which has a minimum vertex at (0,0), you must shift the vertex one unit to the left and then one unit up to get a maximum vertex at (-1,1)
you can then plot points that can be created from an x-y table; such as (1,-7), (-1,1), (2,17), (-2,-1), etc
Step-by-step explanation:
First tranfer x to 1 units left .
y=(x+1)²Multiply by 2
y=2(x+1)²Flip the parabola (turn a negative)
y=-2(x+1)²Transfer y 1 units up
y=-2(x+1)²+1Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.
If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then
7 + t = P
1 + 3t = P
Solve for t :
7 + t = 1 + 3t
t - 3t = 1 - 7
-2t = -6
t = 3
So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.
PLEASE HELP!!!
CORRECT ANSWER GETS BRAINLIEST
Answer:
I think D because 2 negative equal a positive
Step-by-step explanation:
hope this helps
Answer:
D
Step-by-step explanation:
I believe the correct answer choice is D!
This is because, knowing that the rule of signs is a negtive multiplied by a negative is a positive, that would make the 22[tex]\frac{2}{5}[/tex] a positive number and the 40[tex]\frac{1}{5}[/tex] a positive as well.
The parenthesis are representing the multiplication proccesses.
-(-x) = x ---> positive number
Please someone help me with this question
- BRAINLIEST answerer
what is the answer please help!!!
(asap)
So I could only figure out question 8, 9, 10, and maybe 12.
Answer:
8.) x=29
9.) <b=32
10.) <z=106
?? 12.) 128 i think
Step-by-step explanation:
8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.
2x+1+3x-15+49=180
After this you add up all of the similar terms.
5x+35=180
Now subtract 35 from both side to get
5x=145
Now divide each side by 5 and you should get 29
so x=29.
9.) First step is to add all of the angles together and equal to 180.
x+28+x-28+x=180
Next add all of the like terms together.
3x=180
Now divide each side by 3 to get x=60.
Don't stop there. Now fill in the x at <b.
(60)-28 which equals 32. so <b=32
10.) First step is to add all of the angles together and equal them to 180.
x-9+x-1+3x-20=180
Next add all of the like terms together.
5x-30=180
Now add 30 to both sides.
5x=210
now divide both sides by 5 to get x=42
Don't stop there.
Now fill in the answer for x in the <z spot.
3(42)-20
<z=106
12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.
Okay so first i did 3x-28+x=180
By using desmos, I got the answer x=52
Basically all it did was
4x-28=180
add 28 to both sides to get 4x=208
then we divide by 4 on both sides to get x=52
after that you fill in the x for the outer angle because that is what it is asking for.
you then get <QST=128
I know its not all of them but i hope this helps!!
Find the value of two numbers if their sum is 112 and their difference is 66.
Answer:
x+y = 112 ........ (1)
x-y = 62............ (2)
from (1) and (2)
2x = 174
x = 174/2
x = 87
sub x = 87 in (1)
x+y = 112
87+y = 112
y = 112 - 87
y = 25
so the numbers are 87 and 25
Step-by-step explanation:
will mark brainliest (2 possible answers pls) ( NO LINKS OR ANSWERS WITH NO EXPLANATION)
Answer:
P = 22.22
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
1.25 customers / minute
Step-by-step explanation:
To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25
Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.
A. -9/8
B. 1.6875
C. -2 1/4
D. 1 1/8
E. 7/4
F. -1.125
Answer:
9/4 (1.75 - 21/4)
=9/4 (1.75 - 5.25)
=2.25 -3.5
= -1.25
I think your f answer is wrong
there should be -1.25
These steps are from a chemistry lab.
Assignment:
1. Pour 0.4 grams of salt into beaker A.
2. Add 20% of the salt from beaker A to beaker B.
3. Add 3 ounces of water to beaker B.
4. Stir the solution in beaker B.
Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?
_______________ grams
Answer: The answer to this question is 0.08. I hope this helps!
Step-by-step explanation:
0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08
Write the word sentence as an equation. Then solve.
19 more than a number c is 4.
[tex]19+c = 4\\\\\implies c = 4-19 = -15[/tex]
At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.
Which of the three objects casts the longest shadow?
Answer: The Tree height is 21 feet.
Step-by-step explanation:
Let's convert the measurements to feet:
The Building is 20 feet.
The Tree height is 21 feet.
The Flagpole is 18 feet.
Therefore, the Tree is going to cast the longest shadow since it is the highest.
make r the formula t=r/r-3
Answer:
R = 3t/t₋1
Step-by-step explanation: I'm not sure if its correct.
Which line is the STEEPEST?
A) y =1/3x-1
B) y = 8x – 1
C) y = 4x – 1
D) y = 2x – 1
Doing Corrections
#14 plz and thank you
Answer:
Step-by-step explanation:
Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work.
Can you slove this please
Answer:
y=85°
p=100°
Step-by-step explanation:
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Answer:
y=85°
p=100°
I hope you get this right!!
:)
Which graph represents f(x) = -1/4 x^6
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function
Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh
the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school
Answer:
1 1/12
Step-by-step explanation:
Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)
Find common denominator, which is 24
6 times 4 equals 24; 11 times 4 equals 44
4 times 6 equals 24; 3 times 6 equals 18
44/24 - 18/24 (subtract only top numbers (44-18) = 26
26/24 simplified is 13/12 or 1 1/12
Hope it's right :)
Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.
The amount that should deposit monthly is $164.98
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)Substitute the given values into the formula to have:
[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]
Hence the amount of money they started with is $19,524.89.
Amount to deposit monthly = 19,524.89/120
Amount to deposit monthly = $164.98
Hence the amount that should deposit monthly is $164.98
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