The number of books that Sofia read is 32 books and the brother read 8 books.
How to calculate the number of books read?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
From the information, Sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read
Let the number of books read by the brother = x
Number of books read by Sofia = 4x
Therefore, x + 4x = 40
5x = 40.
Divide
x = 40 / 5
x = 8
The brother read 8 books
Sofia read = 4x
= 4 × 8
= 32 books.
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Select all of the statements that are true for the given parabola.
Answer:
A and B
Step-by-step explanation:
The minimum occurs at the turning point ( vertex )
The coordinates of the vertex are (1, - 2 ) → A
The x- intercepts are the points where the graph crosses the x- axis
This occurs at (3, 0 ) and (- 1, 0 ) → B
The axis of symmetry is a vertical line passing through the vertex
Equation of axis of symmetry is x = 1 , not y = - 2
(1, - 2 ) is a minimum not a maximum , see above
For every 4 children in the class who don’t have glasses 1 student does. If there are 20 students in the class, how many of them have glasses?
I have no clue about this.
Help!
Answer: 294 feet^2
Step-by-step explanation:
Find the volume of the cube.
Find the cube root of the volume.
Plug this answer into the formula for finding the surface area of a cube.
(area = 6 · s2)
Answer:
294cm[tex]^{2}[/tex]
Step-by-step explanation:
A cube has 6 faces
To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).
To find out the total surface area of the cube, use this equation to help you:
AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)
so in other words...
AREA=6×7[tex]^{2}[/tex]
AREA= 294cm[tex]^{2}[/tex]
hope this helped:)
The sum of three consecutive integers is 27. Find the value of the greatest of the three.
Answer: The greatest of the three is 10.
Step-by-step explanation:
27/3=9 so the numbers will be around nine.
8+9+10=27
Answer:
Let x represent the value of the smallest of the three consecutive integers.
Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.
Since the sum of the three integers is 27, we have:
x + (x+1) + (x+2) = 27
Combining like terms, we have:
3x + 3 = 27
Subtracting 3 from both sides, we have:
3x = 24
Dividing both sides by 3, we have:
x = 8
Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.
Thus, the value of the greatest integer is 10.
Step-by-step explanation:
Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.
The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is
8 + (n - 1) * -2What is arithmetic sequence?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The sequence is given by the formula
nth term = a + (n - 1) * d
where a = first term
n = the term
d = common difference
In the problem, d = -2 and a = 8, because of this we have
= a + (n - 1) * d
= 8 + (n - 1) * -2
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20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y is > 7
Step-by-step explanation:
Any y value greater than 7 would make the product greater than 5. This can be looked at as y > 7. So y/7 can be rthough of as y divided by 7. 5 x y/7 can be though of as y * 5 divided by 7. Or 5y/7. To make this value 5, y must be 7. Since 7/7 is 1, and 1*5 is 5. If the number is greater than this it would have to be >7/7, since this would make it >1*5. So y must be >7. Hope this helps!
Answer:
9 (or anything above)
Step-by-step explanation:
5 x 9/7 = 45/7 = 6 3/7. Anything above would also work. Also, 8 and 7 work too
What is the example of quadrant 2?
The example of Quadrant 2 is (-1, 1)
The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.
Here we have to give the example for quadrant 2.
In order to find the example, first we have to know the definition and properties of quadrant 2.
The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.
Therefore, the resulting coordinate for Quadrant 2 is written as,
=> (-1, 1)
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IF YOU HELP ME WITH THIS YOU WILL GET 25 POINTS! LINKS=REPORTED!
Answer:
22. acute triangle
23. right triangle
24. equilateral triangle
25. right triangle
Step-by-step explanation:
let me know if any of these are wrong
A school is interested in the average GPA of the sophomore class. They sample 75 of the 500 sophomores, for a mean GPA of 3.26 with a standard deviation of 0.62. Calculate the margin of error to the nearest hundredth.
calculated margin of error = 0.376
What is margin of error?
It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.
margin of error can be determined by multiplying the critical value to the standard deviation.
How to calculate the margin of error?given, mean GPA of 75 sophomores = 3.26 = Xi
standard deviation = 0.62 = s
sample number = 75 = n
total sophomores = 500
z value of the sophomores = mean / standard deviation = 3.26 / 0.62
Z value = 5.26
margin of error = Z value × standard deviation / (√number of sample)
margin of error = 5.26 × 0.62/ √ (75)
= 0.376
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HELP DUE IN 20 MINS!
x = ??
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
We know,
[tex]27 \times (x + 27) = 36 {}^{2} [/tex][tex]x + 27 = \dfrac{1296}{27} [/tex][tex]x + 27 = 48[/tex][tex]x = 21[/tex]______________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?
The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4
The expression is 3x²
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x² is 3
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x² is 3.
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What is the surface area of the right cylinder pictured below with
measurements a = 5 cm, b= 20 cm? Leave your answer in terms of T.
a
b
A. 22517 cm
ООО
B. 250 cm2
C. 50 cm2
o
D. 100 cm2
Applying it's formula, the surface area of the given cylinder is:
B. S = 250pi cm²
What is the surface area of a cylinder?The surface area of a cylinder with radius r and height h is given by the following formula:
S = 2pi(r + h)
For this problem, the dimensions are given as follows:
r = 5 cm, b = 20 cm.
Hence we apply these measures to the given formula, and the surface area in square centimeters is given as follows:
S = 2pi(r + h)
S = 2pi x 5(5 + 20)
S = 250pi cm²
Hence option B is the correct surface area.
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What are the 4 types of polynomials terms )?
Constant or Zero polynomial, Linear polynomial, Quadratic polynomial, Cubic polynomial, and Quartic polynomial are the five kinds of polynomials.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
Constant Polynomial Function: P(x) = a = ax.
Zero Polynomial Function: P(x) = 0; where all ai's are zero, i = 0, 1, 2, 3, …, n.
Linear Polynomial Function: P(x) = ax + b.
Quadratic Polynomial Function: P(x) = ax2+bx+c.
Cubic Polynomial Function: ax3+bx2+cx+d.
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What is 85 divided by 4973?
Please help me out tired want to sleep
Answer:
The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].
Step-by-step explanation:
The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:
[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)
Where:
[tex]A[/tex] - Area below the curve, in square units.
[tex]n[/tex] - Number of rectangles, no units.
[tex]x_{o}[/tex] - Lower bound of the interval, in units.
[tex]\Delta x[/tex] - Length of the interval, in units.
[tex]t[/tex] - Summation index.
If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:
[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]
Which of the following is most likely the next step in the series?
O A.
B.
O c.
D.
Answer:
try the diamond see if that works sorry if its wrong
Triangle is most likely the next step in the series, option D is correct.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The first polygon is hexagon which has 6 sides
The second polygon is Pentagon which has 5 sides
The third polygon is square which has 4 sides
As we observe one side is decreasing from the each polygon from 1st to 3
So the fourth polygon will have three sides which is triangle
Hence, triangle is most likely the next step in the series, option D is correct.
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What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?
The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .
How to find the smallest positive integer ?To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.
The multiples of 4 and 7 are:
Multiples of 4 :
4, 8, 12, 26, 20, 24, 28, 32, 36, 40,
Multiples of 7 :
7 , 14 , 21 , 28 , 35 , 42 , 49
The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.
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Ill give brainliest - please help ASAP
WITH THE WORK THO PLEASE?
Answer:
5.
we have.
11x=½(16x+16+50)
22x=16x+66
22x-16x=66
6x=66
x=66/6
x=11
6.
118°=½(6x-11+181)
236=6x+170
6x=236-170
x=66/6
x=11°
7.
34°=½(arcAK-arc LN)
34×2=(110-arc LN)
arc LN =110-68
arc LN=42°
8.
<L=½(arc EN-arc KM)
<L=½(139°-73°)
<L=33
Help me please yea more help
Answer:
96units
Step-by-step explanation:
i think its one but im not sure
Answer: Commutative property.
Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.
Let me know if this is right! :)
a) A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
Time (in minutes)
9
3
15 21
5 7
OThe train does not always go the same distance each minute.
OThe train appears to go the same distance each minute.
Predicted distance traveled in 8 minutes: km
Answer:
Step-by-step explanation:
from the figure we kown the speed is 9/3=15/5=21/7=3 km per minute
the distance in 8 minute is 3 ×8=24 km
Help me please and thank you
Answer:
Equation: [tex]\frac{7}{3}t + \frac{5}{2}t = 87[/tex]
Hours: 18
Step by Step:
(7/3)t + (5/2)t = 87
(14/6)t + (15/6)t = 87
(29/6)t = 87
29t=522
t=28
There are three ways to solve a system of equations. Sometimes it is easier to use one method instead of another. Provide an example of three systems and explain what method should be used to solve and why it is the easiest method given the way the system is written.
Given ƒ(x) = − x² – 14, find ƒ (6)
Answer:
f(6) = - 50
Step-by-step explanation:
substitute x = 6 into f(x) , that is
f(6) = - 6² - 14 = - 36 - 14 = - 50
Answer:
-50
Step-by-step explanation:
f ( x ) = - x² - 14
Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).
f ( 6 ) = - (6)² - 14
f ( 6 ) = - 36 - 14
f ( 6 ) = -50
Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of the bag of groceries after any number of years. Predict when the bag of groceries will double in price.
Answer: 28 years
Step-by-step explanation:
Given
The equation showing the value of the bag after x years is [tex]C=25(1.025)^x[/tex]
If the price of the bag increased by 2.5%, from the equation, we can deduce that
Initial cost of the bag is 25
Double of the initial value is 50
Insert it in the equation
[tex]\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28[/tex]
It will take 28 years
Jenny babysits for $6)per hour plus $10 for taxi fare. Mary charges ($3 every ?half ?hour plus $15 in taxi fare.
Answer:
Step-by-step explanation:
122121
A $99 skateboard is on sale for 10% off. How
much is it on sale for?
Answer:
89.10 trust me
Step-by-step explanation:
trust me bro
Explain if the ordered pairs represent a function or not.
(1,2)(1,3)(2,4)(3,6)(0,0)(-1,4)
Will give brainliest if right
O D. The points seem to be clustered around a line.
Answer:
D. The points seem to be clustered around a line.
Step-by-step explanation:
The scatterplot points are spread out and forming a line, not around a point.
There are two outliers.
Find the length of the radius of the cylinder given the volume and height.
V=314
h = 25 ft
a. 1 ft
b. 2 it
C.5 ft
d. 12.3 it
I'll give Brainly
Answer:
b. 2 feet
Step-by-step explanation:
The formula for volume of a cylinder is: V=πr^2h
Start by plugging in what they give you
V=πr^2h
314 =π(r)^2(25)
314 = 25π(r)^2
divide both sides by 25π, which is 78.5
4 = r^2
take the square root of both sides
r = 2