The time Susan had between finishing her homework and the beginning of volleyball practice is 25 minutes.
How much time did Susan have?The first step is to convert the time she used to do her homework to hours and minutes.
1 hour = 60 minutes
96 minutes = 1 hour 36 minutes
Time she finished her homework = 1:59 + 1 : 36 = 3 : 35
Time she had = 4 - 3 : 35 = 25 minutes
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Write a algebraic expression for 8 more than 5 times a number.
Algebraic expression for 8 more than 5 times a number is 5x+8
What is Algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations
Given,
8 more than 5 times a number
Consider the number is x
Then, 8 more than 5 times a number is
5x+8
Hence, Algebraic expression for 8 more than 5 times a number is 5x+8
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Find each product or quotient. Use significant digits. 11ft *825ft a. 9,080 ft2 b. 9,100 ft2 c. 9,000 ft2 d. 9,075 ft2
answer please!!!!!!!!!!!!!!!!!!
Write the equation y=-3/5x+3 in standard form using integer coefficients
Final answer:
To convert the equation y = -3/5x + 3 into standard form with integer coefficients, multiply both sides by 5 to get rid of the fraction, resulting in 5y = -3x + 15. Then, rearrange the terms to obtain the standard form, which is 3x + 5y = 15.
Explanation:
The equation y = -3/5x + 3 is given in slope-intercept form. To convert it into standard form using integer coefficients, we need to rearrange the terms so that all variables and constants are on one side of the equation and the constant is on the other side. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
First, multiply both sides of the equation by 5 to clear the fraction:
5y = -3x + 15
Next, move the x-term to the left side of the equation:
3x + 5y = 15
Now, the equation is in standard form with integer coefficients.
What number best completes both questions 5/7 ÷ 1/3=? ? ×1/3= 5/7
Two systems of equations are shown below: System A System B 3x + 2y = 3 −x − 14y = 1 −2x − 8y = −1 −2x − 8y = −1 Which of the following statements is correct about the two systems of equations? The value of x for System B will be one−third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical. They will have the same solution because they represent the same lines when plotted on the coordinate axes. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
The two linear equations represented in system A as :
3 x + 2 y =3 -------(1)
- 2 x - 8 y = -1 ------(2)
(1) × 2 + (2) × 3 gives
⇒ 6 x + 4 y - 6 x - 24 y = 6 -3
⇒ - 20 y = 3
⇒ y = [tex]\frac{-3}{20}[/tex]
Putting the value of y in equation (1), we get
[tex]3 x - \frac{6}{20}=3\\\\ 3 x= \frac{66}{20} \\\\ x=\frac{11}{10}[/tex]
Two linear equation represented in system B is:
3. -x - 14 y =1
4. - 2 x - 8 y = -1
-2 ×Equation (3) + Equation (4)=
2 x +28 y- 2 x - 8 y= -2 -1
⇒ 20 y = -3
⇒y =[tex]\frac{-3}{20}[/tex]
Putting the value of y in equation (3),we get
[tex]-x + \frac{42}{20}=1 \\\\ x=\frac{22}{20}=\frac{11}{10}[/tex]
As Two system , that is system (A) and System (B) has same solution.
By looking at all the options , i found that Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
Answer:
(D)
Step-by-step explanation:
Two linear equations by system A is given as:
[tex]3x+2y=3[/tex] (1)
[tex]-2x-8y=-1[/tex] (2)
Multiply equation (1) with 2 and equation (2) with 3 and then adding, we get
[tex]6x+4 y-6x-24y=6-3[/tex]
[tex]-20y=3[/tex]
[tex]y=\frac{-3}{20}[/tex]
Putting the value of y in equation (1), we get
[tex]3x-\frac{6}{20}=3[/tex]
[tex]3x=\frac{66}{20}[/tex]
[tex]x=\frac{11}{10}[/tex]
Two linear equations by system B is given as:
[tex]-x-14y=1[/tex] (3)
[tex]-2x-8y=-1[/tex] (4)
Multiply equation (3) with -2 and adding equation (4), we get
[tex]2x+28y-2x-8y=-2-1[/tex]
[tex]20y=-3[/tex]
[tex]y=\frac{-3}{20}[/tex]
Putting the value of y in equation (3),we get
[tex]-x+\frac{42}{20}=1[/tex]
[tex]x=\frac{11}{10}[/tex]
As Two system , that is system (A) and System (B) has same solution.
Thus, Option (D) is correct. The two system will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
Which type of angle is ∠ABC?
Can somebody please help me with this problem? Also please don't give me the final answer can you just like help me have an idea on how to do it. PLEASE AND THANK YOU
A website has 826,140 hits what is the value of the 8 in 826,140
Fifty students in the fourth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green eyes 16 12 28 Brown eyes 14 8 22 30 20 50 Are the events "green eyes" and "brown hair" independent?
The events "green eyes" and "brown hair" are not independent because the probability of a student having both green eyes and brown hair is not equal to the product of their individual probabilities.
Explanation:To determine whether the events "green eyes" and "brown hair" are independent, we need to look at the probabilities of each event occurring separately and together.
The probability of having green eyes (P(Green Eyes)) is the total number of students with green eyes divided by the total number of students, which is 28/50.
The probability of having brown hair (P(Brown Hair)) is the total number of students with brown hair divided by the total number of students, which is 30/50.
The probability of having both green eyes and brown hair (P(Green Eyes AND Brown Hair)) is the number of students with both green eyes and brown hair divided by the total number of students, which is 16/50.
Events A and B are independent if P(A and B) = P(A) * P(B). Using this formula, we can determine if the events are independent:
P(Green Eyes AND Brown Hair) = P(Green Eyes) * P(Brown Hair)
16/50 ≠ (28/50) * (30/50)
Since the probability of having both green eyes and brown hair does not equal the product of the probabilities of having green eyes and having brown hair, these events are not independent.
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John draws a straight line in his notebook. What is the minimum number of points through which the line is drawn?
Final answer:
A straight line is determined by a minimum of two points. This is a fundamental concept in geometry and algebra, necessary for defining lines on any two-dimensional path or graph.
Explanation:
To determine the minimum number of points through which a straight line is drawn, we need to understand that a straight line is defined by only two points.
The minimum number of points through which a straight line is drawn is two. In geometry, a line extends infinitely in both directions but is determined by just two points. The concept of a line is fundamental in understanding various subjects such as algebra and geometry.
two million, four hundred and two dollars overdrawn; write this using a negative number.
i have no clue what to do please help
a child find 29 nickels and dimes. how many dimes are there if the total value of the coins are $2.10?
Which expression is equivalent to 5(2+7)?
Answer
b
Step-by-step explanation:
i got it on eduenity
answer correctly for brainliest
x y
0 3
1 1
2 -1
Which equation represents the data in the table shown?
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x - 3
Answer:
Option C - [tex]y=-2x+3[/tex]
Step-by-step explanation:
Given : Table of data
x y
0 3
1 1
2 -1
To find : Which equation represents the data in the table shown?
Solution :
To find the equation we need to check all the points satisfying the equation or not.
A) [tex]y=-2x[/tex]
Put x=0
[tex]y=-2(0)=0[/tex]
Not satisfied
B) [tex]y=2x+3[/tex]
Put x=0
[tex]y=2(0)+3=3[/tex]
Put x=1
[tex]y=2(1)+3=5[/tex]
Not satisfied
C) [tex]y=-2x+3[/tex]
Put x=0
[tex]y=-2(0)+3=3[/tex]
Put x=1
[tex]y=-2(1)+3=1[/tex]
Put x=2
[tex]y=-2(2)+3=-1[/tex]
All points satisfied.
D) [tex]y=-2x-3[/tex]
Put x=0
[tex]y=-2(0)-3=-3[/tex]
Not satisfied
Therefore, The required equation satisfying all the points of the table is [tex]y=-2x+3[/tex]
So, Option C is correct.
The tongue of a chameleon is one and a half times it's body length. Write this as a decimal
The tongue of a chameleon is 1.5 times its body length when expressed as a decimal.
If the tongue of a chameleon is one and a half times its body length, we express this as a decimal by multiplying the body length by 1.5. For example, if the body length is represented by 1 unit, then the tongue length would be 1 imes 1.5, which equals 1.5. Therefore, the length of the tongue as a decimal is 1.5 times the body length.
in the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with 80 degrees angle and the 60 degree angle. write and solve the equation to determine the measure of angle x
Plz Help me with this math problem
For February, sales revenue is $900,000; sales commissions are 5% of sales; the sales manager's salary is $96,000; advertising expenses are $80,000; shipping expenses total 2% of sales; and miscellaneous selling expenses are $2,100 plus 1/2 of 1% of sales. Total selling expenses for the month of February are:
Final answer:
The total selling expenses for February amount to $245,600, calculated by adding the sales commissions, sales manager's salary, advertising expenses, shipping expenses, and miscellaneous selling expenses together.
Explanation:
To calculate the total selling expenses for the month of February, each component of the selling expenses will be computed based on the provided sales revenue, and then all these components will be summed up.
Sales commissions: 5% of $900,000 = $45,000
Sales manager's salary: $96,000 (fixed cost)
Advertising expenses: $80,000 (fixed cost)
Shipping expenses: 2% of $900,000 = $18,000
Miscellaneous selling expenses: $2,100 + 0.5% of $900,000 = $2,100 + $4,500 = $6,600
Adding all these expenses together:
$45,000 + $96,000 + $80,000 + $18,000 + $6,600 = $245,600
Therefore, the total selling expenses for the month of February are $245,600.
True or false. A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a rhombus.
Answer:
The statement is false, it describes all parallelogram.
Step-by-step explanation:
The figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a rhombus. This is a true statement
What is a rhombus?A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.
Given:
A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a rhombus,
Given that it possesses all the characteristics of a parallelogram, a rhombus is regarded as one of the exceptional parallelograms. The two lines of symmetry for a rhombus are its two diagonals. A line that splits an object into two equally sized halves is referred to as the axis of symmetry.
Thus, it is a Rhombus, As the opposite sides are parallel and equal and the diagonal of the rhombus is perpendicular.
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What procedure can you use to convert a fraction to a decimal?
A.Numerator )denominator •100
B.numerator )denominator
C. denominator )numerator
D. Denominator )numerator •100
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/2 converted to a decimal is 0.5.
Explanation:To convert a fraction to a decimal, you use the method defined by option B: Numerator divided by Denominator (Numerator / Denominator). This will give you the decimal equivalent of the fraction. For example, if you have the fraction 1/2, you divide the numerator (1) by the denominator (2) to get 0.5, which is the decimal equivalent of the fraction 1/2.
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Bernard works as a courier delivering and picking up packages for a shipping company. Three of the communities on his route form an isosceles right triangle as shown in the figure. There are approximately 68 miles between Old Mill and Clarksville and between Clarksville and Hamilton. Approximately how many miles are there between Old Mill and Hamilton? Round your answer to the nearest mile if necessary.
For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day?
The change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day is given by -30 minutes, the correct option is A.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
Alejandro studied for 6 consecutive days.
Let he studied for x minutes on the first day
Next day he studies (x + 5) minutes.
Each day the time is increasing by 5 minutes.
The equation for time he studied each day = x + 5 t
On last day he studied,
= x + 5 * 6
= x +30
The change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day is given by
x - x -30
= -30 minutes
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Answer:
A
Step-by-step explanation:
Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run? Distance Rate Time Bicycling 19.5 mc016-1.jpg mc016-2.jpg Running 6 r mc016-3.jpg
Running Speed = x
Cycling Speed = x + 9
19.5/x + 9 = 6/x
Cross multiply
19.5x = 6x + 54
19.5x - 6x = 54
13.5x = 54
x = 4
she runs 4 mph
Answer:
4 mph
Step-by-step explanation:
Which of these is a simplified form of the equation 6y + 4 = 8 + 2y + 2y? 6y = 8 10y = 12 2y = 4 4y = 12
John is choosing a password for his access to the internet. He decided not to use the digit 0 or the letter M. Each letter or number may be used more than once. How many passwords of 2 letters followed by 4 digits are possible?
a.)4,200,625
b.)3,100,625
c.)4,100,625
d.)3,100,500
There are 4100625 possible passwords of 2 letters followed by 4 digits
How to determine the number of passwords?The usable characters are:
Digits 1 - 9 i.e. 9 digitsAll alphabets except M i.e. 25 lettersGiven that the characters can be repeated, and the password uses 2 letters and 4 digits.
The number of password is:
Password = 25* 25 * 9*9*9*9
Evaluate
Password = 4100625
Hence, there are 4100625 possible passwords
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Sonya wants to know how much her annual take-home pay will be after she pays FICA taxes totaling 7.65% on an annual salary of $36,590.
Final answer:
Sonya's annual take-home pay, after FICA taxes of 7.65% on her annual salary of $36,590, would be $33,790.86.
Explanation:
To calculate Sonya’s annual take-home pay after FICA taxes, we first need to understand that FICA consists of two separate taxes: Social Security and Medicare. The total rate for these combined is 7.65% of the gross income. Sonya’s annual salary is $36,590.
First, we calculate the total FICA tax Sonya has to pay:
Social Security tax (6.2% of $36,590) = $2,268.58Medicare tax (1.45% of $36,590) = $530.56Add these two amounts to get the total FICA tax:
$2,268.58 (Social Security) + $530.56 (Medicare) = $2,799.14
Finally, subtract this total FICA tax from the annual salary to find Sonya’s take-home pay:
$36,590 (annual salary) - $2,799.14 (FICA taxes) = $33,790.86
If s = 1/3 unit and A = 54s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answer:
Plus in s.
A=54(1/3)^2
First, apply exponents.
1/3 x 1/3= 1/9
A=54(1/9)
1/9 x 54= 6
Final answer: 6 square units
Step-by-step explanation: