Juana can use the expression 64 divided by 4 to determine
A. 4% of 64.
B. 10% of 64.
C. 25% of 64.
D. 50% of 64.
Answer:
it is a 4% of 64
Step-by-step explanation:
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.
evaluate 5x^2-3x+2 for x=-3
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
For a number X, 40% of X is what percentage of 60% of X?
The 40 percent of x is 66.67% of 60 percent of x
Percentage is a way of expressing a fraction or a proportion as a number out of 100. It is often denoted by the symbol "%".
Let x be the number we are considering.
1. 40% of x is equal to 0.40x.
2. 60% of x is equal to 0.60x.
To do that, set up the following expression:
Percentage=0.40x/ 0.60x * 100
Now, cancel out the common factor x:
Percentage = (0.40)/ (0.60) * 100
= (2/3) * 100
= 200 / 3
= 66.67 %
So, 40% of x is 66.67% of 60% of x.
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Joe flips the disc shown below 15 times:
A disc with two layers is shown. The top layer is shaded in a darker shade of gray, and the lower section of the disc is white.
What is the probability that the 16th flip will result in the disc landing white side up?
What number best completes both questions 5/7 ÷ 1/3=? ? ×1/3= 5/7
Which equation represents the line that passes through (–8, 11) and (4, 7/2)?
A. y = -5/8x + 6
B. y = -5/8x + 16
C. y = -15/12x – 49
D. y = -15/12x + 71
WHATS THE ANSWER?????????
A website has 826,140 hits what is the value of the 8 in 826,140
two million, four hundred and two dollars overdrawn; write this using a negative number.
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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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.
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30. Could the hypotenuses of these two triangles lie along the same line?
A line has a slope of -3/4 and passes through the point (–5, 4). Which is the equation of the line?
a)y=-3/4x+1/4
b)y=-3/4x+4
c)y=-3/4x-2
d)y=-3/4x-1/4
Final answer:
The correct equation of a line with a slope of -3/4 that passes through the point (-5, 4) is y = (-3/4)x + 31/4. However, none of the answer choices provided match this equation.
Explanation:
To find the equation of a line with a slope of -3/4 that passes through the point (–5, 4), you can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.
Plugging in our values we get:
y - 4 = (-3/4)(x - (-5))
This simplifies to:
y - 4 = (-3/4)x - (-3/4)*(-5)
Which further simplifies to:
y - 4 = (-3/4)x + 15/4
To find the y-intercept, we put the equation in slope-intercept form, y = mx + b, by adding 4 to both sides:
y = (-3/4)x + 15/4 + 4
y = (-3/4)x + 15/4 + 16/4
So the final equation is: y = (-3/4)x + 31/4
Looking at the answer choices, there is a mistake in the options provided because none of the options match y = (-3/4)x + 31/4. It's important to convey this discrepancy to the student.
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.
Which type of angle is ∠ABC?
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.
How to represent 57.036 using fractions
[tex] 57.\underbrace{036}_{3}=\dfrac{57036}{1\underbrace{000}_{3}}=\dfrac{57036:4}{1000:4}=\dfrac{14259}{250} [/tex]
in a fish tank, 6/7 of the fish have a red stripe on them.if 18 of the fish have red stripes, how many total fish are in the tank?
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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Which product is less than 99 (look at pic) please answer
Answer: 10 / 11 × 99
Step-by-step explanation:
The first one is; 16/15 × 99 = 1584/15 = 105.6
Its greater than 99
The second one is; 12/7 × 99 = 1188/7 = 169.71
The value is greater than 99
The fourth one is; 20/20 × 99 = 1980/20 = 99
The value is equal 99
The third one is; 10/11 × 99 = 990/11 =90
The value is less than 99
Therefore the product of 10/11 ×99 is less than 99
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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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:
If i am in 8th grade what year will I graduate
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
CORRECT OR FASTEST GET BRAINLIEST!!!!!! A standard showerhead in Marty's house dispenses 7 gallons of water per minute. Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Marty save each day with the change in showerheads if he uses the shower for 8 minutes each day? the option choices are
4, 12, 32, 53
Answer: 32 gallons
Step-by-step explanation:
Given: Previous rate of dispensing water= 7 gallons per min
If Marty use 8 min showerhead then
Total amount of water dispensed= [tex]7\times8= 56\ gallons[/tex]
After Marty changed the showerhead to energy saving with equation
y=3x, where y is the amount of water dispensed as a function of the number of x minutes for the new showerhead.
When we put x=8 minutes, we get total amount of water dispensed=[tex]3\times8= 24\ gallons[/tex]
Water saved by Marty = 56-24 = 32 gallons
Hence, Marty save 32 gallons each day.
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.
9 - 12n 2 + 4n 3 - 7n
a child find 29 nickels and dimes. how many dimes are there if the total value of the coins are $2.10?
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = -16t^2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?
The axis of symmetry of a quadratic function indicates the time at which the soccer ball reaches its maximum height in this case.
The axis of symmetry of a quadratic function represented by [tex]h(t) = -16t^2 + 48t,[/tex] where t is time in seconds, is given by the formula t = -b / 2a. In this case, a = -16 and b = 48, so the axis of symmetry is
t = -48 / (2*(-16))
= 1.5 seconds.
The axis of symmetry represents the time at which the soccer ball reaches its maximum height. For this parabolic motion, the ball will rise until it reaches this time, at which point it will start to fall back down.
At t = 1.5 seconds, the ball is at the peak of its trajectory.
The axis of symmetry is useful because it gives us the time at which the event (in this case, reaching the maximum height) happens, and it is a line that divides the parabola into two symmetrical halves.