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
Learn more on equations here: https://brainly.com/question/25678139
what is the slope of the line through (0, 1) and (-1, -3)
Answer:
A. 4
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-4}{-1}[/tex]Simplify: [tex]\displaystyle m = 4[/tex]Answer:
The answer is A. 4
Step-by-step explanation:
Step 1: DefineIdentify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope mSimply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]:[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]
[Order of Operations] Evaluate:[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]
Simplify: [tex]\displaystyle m = 4m=4[/tex]Don’t understand this one, hoping for help
Mo has a bag of sweets she has 3 chews and2 mints left Seh picks out a sweet what is the probability that she picks a mint
Answer:
2/5
Step-by-step explanation:
If she has 3 chews and 2 mints left, the probability that she picks a mint is 2/5 as they are only 2 mints and 3 chews and 2+3 = 5. So the awnser is 2/5.
What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh One-eleventh Two-fifteenths Fifteen-halves.
The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
The given parameters:
Partition of the line segment = 5:6The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;
[tex]partition = \frac{1}{11} \times distance[/tex]
The distance between point D and point E is calculated as follows;
[tex]D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9[/tex]
The partition of the two points (D to E) is calculated as follows;
[tex]partition = \frac{1}{11} \times 9 = 0.82[/tex]
Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is [tex]\frac{1}{11}[/tex].
Learn more about partition of line segments here: https://brainly.com/question/4429522
Answer:
B
Step-by-step explanation:
edge2021
what is the slope of the line ?
Answer:
The slope is 3/4 or 0.75.
Step-by-step explanation:
Let's take two points on a line. (-3,2) and (1,-1).
Now, determine the rise and run.
Rise: 3 Run: 4Slope = Rise/Run
=> 3/4Conclusion:
Therefore, the slope is 3/4 or 0.75.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Brennan studied the relationship shown in the table.
x 3 4 5 6 7
y 36 48 60 72 ?
Which expression describes a method Brennan could use to determine the y-value when x equals 7?
Answer:
y = 12x
Step-by-step explanation:
Note the relationship
x = 3 : y = 36 , that is 36 = 12 × 3
x = 4 : y = 48, that is 48 = 12 × 4
x = 5 : y = 60 , that is 60 = 12 × 5
x = 6 : y = 72 , that is 72 = 12 × 6
The value of y is obtained by multiplying corresponding x value by 12
Then
x = 7 → y = 12 × 7 = 84
in general for any x
y = 12x
the table shows the height of the sage bush at each of 2 ages. what was the bushes average rate of growth per year during this time period. pls answer quick
Answer:
2.4 inches a year
Step-by-step explanation:
It took 5 years for the bush to grow 22 inches, and it went up by 12 inches in 5 years. So, the easiest thing to do is 12 / 5 = 2.4 inches a year. :)
(Brainliest ??)
answer this question attached please
Answer:
30 degree
Step-by-step explanation:
sum of the interior angles of a hexagon=720degree
one angle of the hexagon=720/6=120degree
one angle of the rhombus=90 degree
therefore, x=120-90=30
(
3.9
×
10
−
5
)
(
7
×
10
−
3
)
Answer:
2278
Step-by-step explanation:
(3.9×10−5)(7×10−3)
= (39 - 5)(7 x 10 -3)
= (39 - 5)(70-3)
= 34(70-3)
= 34 x 67
= 2278
Find the 12th term of the geometric sequence 5,–25, 125, ...
Answer:
244140625
5¹²
it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.
t - 2 2/3 = - 5/2
A. 1/6
B. -1/6
C. 4 1/3
D. -4 1/3
Is this right?
If not what is the answer
Answer:
yes it is correct
Step-by-step explanation:
Select the correct answer.
Choose the name of the highlighted part of the figure.
O A.
vertex
B.
angle
Oc.
side
Plz help!!
The highlighted part of the triangle is an angle. It is on the inside of the triangle and formed by two sides coming together.
Hope this helps! :)
Answer:
Angle
Step-by-step explanation:
Vertices (plural for vertex) are basically the points of the triangle.
Angles are the amount of space between two line segments (typically measured in degrees)
Sides are line segments of a shape.
Therefore, B is right.
Please help will give brainliest.
What is the factored form of the following expressions?
d2 + 16d + 60
Group of answer choices
(d – 10)(d – 6)
(d + 10)(d + 6)
(d – 10)(d + 6)
(d + 10)(d – 6)
Answer:
B.
Step-by-step explanation:
Answer: (d+10) (d+6)
If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
point-slope form?
O A. y-1 = 2(x-2)
O B. y-1 = 2(x+ 2)
O C. y-2 = -2(x-1)
O D. y + 2 = -2(x - 1)
SUBMIT
Answer: The point-slope form is: y - 1 = 2(x + 2). Therefore, the answer is B.
Select the expression NOT equivalent to 32 + 40x.
8(5x + 4)
(8 + 5x)4
4(4 + 10x) + 16
15x + 25x +2(16)
Answer:
dsadh
Step-by-step explanation:
Given 7x + 2 > 58, which number is not in the solution set?
1) 6
2) 8
3) 10
4) 12

Answer:
option 1
Step-by-step explanation:
7x + 2 > 58 ( subtract 2 from both sides )
7x > 56 ( divide both sides by 7 )
x > 8
So only values greater than 8 are in the solution set
6 is not greater than 8, then is not in the solution set
What is 1/2 times 3/4 in fraction form?
Answer:
3/8 is the answer.Step-by-step explanation:
1/2 x 3/4=> 3/8Conclusion:
Therefore, 3/8 is the answer.
Hoped this helped.
Boris has 10 pairs of jeans, 15 T-shirts, and 7 sweaters in his closet. Write the ratio of sweaters to pairs of jeans using a colon.
Brainliest to a person who gets it right.
Answer: 7:10
Step-by-step explanation: You are asked to find the ratio of sweaters to pairs of jeans. All you do is write the 7 sweaters and the 10 pairs of jeans. And you get a ratio of 7:10. Since this cannot be reduced any further, you just leave it as it is.
Hope this helps.
It costs $6 to enter the fair. Each ride costs $1.25. You have spent $23.50. How many rides did you ride?
Answer:
14 rides
Step-by-step explanation:
23.50-6= 17.5
17.5/1.25=14
Which expression is equivalent to w • 35?
A.
(w • 3) + 5
B.
(w • 30) + 5
C.(w • 30) + (w • 5)
D.
(w • 5) + 3
Answer:
A.
(w.3)+5
=w. 3+5
=w . 8
B.
(w.30) +5
=w.30+5
=w . 35
C.
(w.30) + (w.5)
=w.30+w.5
=w+w.30.5
=2w . 35
D.
(w.5)+3
=w . 5+3
=w . 8
so, B is the expression which is equivalent
to w . 35
michelle drove 325 miles in 5 hours. if she traveled at a steady speed, how far did she drive per hour?
Answer:
65 miles per hour.
Step-by-step explanation:
You can divide 325 by 5 to get how many miles she drove per hour :)
Answer:
65mph
Step-by-step explanation:
Divide 325 by 5 to get your answer.
The formula for speed is speed=Distance/Time
So take the total distance, and divide it by the time
The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4. Enter your outputs as decimals
Functions can be represented using equations, graphs and tables.
The function is given as:
[tex]a(l) = \frac 12 l^2[/tex]
When l = 1, we have:
[tex]a(1) = \frac 12 \times 1^2[/tex]
[tex]a(1) = 0.5[/tex]
When l = 2, we have:
[tex]a(2) = \frac 12 \times 2^2[/tex]
[tex]a(2) = 2.0[/tex]
When l = 3, we have:
[tex]a(3) = \frac 12 \times 3^2[/tex]
[tex]a(3) = 4.5[/tex]
When l = 4, we have:
[tex]a(4) = \frac 12 \times 4^2[/tex]
[tex]a(4) = 8.0[/tex]
Represent the above results as a table, we have:
l a(l)
1 0.5
2 2.0
3 4.5
4 8.0
Read more about tables and functions at:
https://brainly.com/question/13136492
Asha bought 60 fruit baskets. 25% of the fruit baskets have 12 pieces of fruit in each basket. The remaining 75% of the baskets have 15 pieces of fruits in each basket. Complete the model.
Answer:
Number of baskets with 12 pieces of fruit: 15
Number of baskets with 15 pieces of fruit: 45
Step-by-step explanation:
25% x 60 = 0.25 x 60 = 15
75% x 60 = 0.75 x 60 = 45
The complete model for the given question is;
Number of fruit baskets that contain 12 fruits = 15 baskets
Number of fruit baskets that contain 15 fruits = 45 baskets
We are told that he bought 60 fruit baskets.
Percentage of the fruit baskets that have 12 pieces of fruit = 25%
Percentage of the fruit baskets that have 15 pieces of fruit = 75%
Thus;
Number of fruit baskets that contain 12 pieces of fruit = 25% × 60 = 15 baskets
Number of fruit baskets that contain 15 pieces of fruit = 75% × 60 = 45 baskets
Read more about percentages at; https://brainly.com/question/11865045
What happens to the value of the expression b - 1 as b increases?
Answer: The value will increase by one as B increases by one or so on
Step-by-step explanation:
Answer:
It increases
Step-by-step explanation:
Select the correct answer.
Which of the four "progressive amendments" gave women the right to vote?
A.
Sixteenth
B.
Seventeenth
C.
Eighteenth
D.
Nineteenth
can you please help me with this question please
Answer:
c=$214.28
Step-by-step explanation:
Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations
c=0.75p --- c=0.75(285.7)= 214.275-- 214.28
c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28
either way its the same, just plug it into one or the other
What is the solution to the inequality below?
12+x2 3(x-6)
A. X
X5 9
O B. Xs12
O c. xs5
O D. xs 15
What’s the answer
Answer:
x ≤ 15
Hope you could get an idea from here.
Doubt clarification - use comment section.
Explain how to calculate and find 32% percent of 150.
Correct answer gets brainiest
Answer:
48
Step-by-step explanation:
You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.
150 * 0.32 = 48
Step-by-step explanation:
when finding the percentage of a number, multiply the number by the percentage's decimal form.
here's an example: 20% of 300
20% is 20/100 which is 0.20
now we just multiply
0.20×300=60
now for 32% of 150
32%--->32/100---->0.32
0.32×150=48
there you go! hope that helped
Evaluate each expression. 16^-3/2