Answer:
The smallest number of bills he could have is 5 bills.
Step-by-step explanation:
He could have two 20's, one 5, and two 1's. 20+20+5+1+1=47
Hope this helped :)
Answer:
5 bills.
Step-by-step explanation:
Smallest number of bills he can have is 5.
$20+$20+$5+$1+$1=$47
A football team gains 7 yards in the first down then gains 2 yards in the second down. Then loses 4 yards in the third yard. What is the net yardage?
Answer: 5
Step-by-step explanation:
First we should do the first step: 7+2=9, The they lose 4 which then 9-4
which would equal 5
Answer:
7+2-4=?
7+2=9-4=5
Final Answer: 5 Yards136/12 times 12 = ?
Anyone here have pinterest.....
Answer:
136 divided by 12 you get 11.3 times 12 you get 136
Answer:
(136÷12) × 12 = 136
Step-by-step explanation:
You start with the numbers in the parentheses ( which look like "( )" ), which is 136÷12 which is 11.3
1.) 136÷12=11.33
Then you multiply it by 12 which will get you 136.
2.) 11.33× 12=136
Your final answer will be 136
Have a nice day!
find the equation that is perpendicular to the line 8x-6y=-5 and passes through (1,-3)
pls help omg its 2am and i need to get this done by tomorrow
The equation of the perpendicular line in slope intercept form is
y = (-3/4)x - 9/4.
What is the slope?The slope is defined as the rate of change of the y-axis with respect to
x-axis.
We know equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.
We also know that perpendicular lines have a slope that is negative reciprocal of each other.
Given line is 8x - 6y = -5.
-6y = - 8x - 5.
-y = (-8/6)x - 5/6.
-y = (-4/3)x - 5/6.
y = (4/3)x + 5/6.
∴ Slope(m) = 4/3.
So, the line which is perpendicular has a slope(m) = -3/4 with points (1,-3).
∴ - 3 = (-3/4)(1) + b.
- 3 = -3/4 + b.
b = 3/4 - 3.
b = -9/4.
∴ The equation of the line is y = (-3/4)x - 9/4.
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can someone convert that to point slope form and tell me the steps?
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
URGENT NEED HELP ASAP
Answer:
1/4
Step-by-step explanation:
We know two points on the line so we can use the slope formula
(0,6) and (8,8)
m = ( y2-y1)/(x2-x1)
= (8-6)/(8-0)
= 2/8
= 1/4
Answer:
1/4
Step-by-step explanation:
slope=rise/run=1/4
1)
The graph below shows how the velocity of a lift varies during a 40 second period.
0.4+-
Velocity
(ms)
07
16
24
40 Time (s)
-0.6+
(a)
Find the distance travelled by the lift in the first 16 seconds of the motion.
[2 marks]
(b)
Find the total distance travelled by the lift in the 40 second period.
[3 marks]
(c)
Find the average velocity of the lift during the 40 second period.
[3 marks]
Answer:
Lead-the-market pay strategies. An employer may choose to establish an internal compensation strategy that is in excess of the pay rates in the prevailing marketplace. This compensation strategy may increase the supply of candidates, increase selection rates of qualified acpplicants, decrease employee turnover, increase morale and productivity, or prevent unionization efforts. However, prior to implementing a lead compensation strategy, an organization should carefully consider what benefits it expects to realize from such a strategy, keeping in mind that this type of structure has the greatest propensity of increasing overall labor costs.
Step-by-step explanation:
pls help this is confusing. also who likes my cursor?
Answer:
Here's the solution.
Step-by-step explanation:
Okay so,
12 with an exponent of 5 equals 248832 because you multiply 12*12*12*12*12.
12 with an exponent of 4 equals 20736 because you multiply 12*12*12*12.
Since it's division you use the inverse which is multiplication.
Therefore 248832×20736=5159780352
So 12 with an exponent of what number equals 5159780352?
12 with an exponent of 9.
To check your answer do 5159780352 divided by 248832 which equals 20736.
Therefore your answer would be C.
I hope this helps you understand and your cursor is cool, it's the yin yang symbol, correct? How did you do that?
a circle with radius is inscribed in a square and circumscribed about another square as shown. which fraction is closest to the ratio of the circle's shaded area to the area between the two squares?
The fraction that is the ratio of the shaded area of the circle to the area between the two squares is (π−2)/2.
A fraction is a mathematical expression that represents a part or a proportion of a whole.
Let us assume that the radius of the circle is 'r' units. Therefore, the diameter of the circle is 2r units. The diagonal of the inner square is equal to the diameter of the circle, which is 2r units. Hence, the side of the inner square is r√2 units.
Now, let's consider the area of the circle. The formula for the area of a circle is
=> A=πr².
Therefore, the area of the circle is πr².
The area between the two squares is the difference between the area of the outer square and the area of the inner square. The area of the outer square is
=> (2r)²=4r²,
and the area of the inner square is
=> (r√2)²=2r².
Hence, the area between the two squares is
=> 4r²−2r²=2r².
The shaded area of the circle is the area inside the circle but outside the inner square. We can find this area by subtracting the area of the inner square from the area of the circle. Therefore, the shaded area of the circle is
=> πr²−2r²=(π−2)r².
Now, let's find the ratio of the shaded area of the circle to the area between the two squares. We can express this ratio as a fraction. Thus,
ratio = (π - 2)r² / 2r
We can simplify this fraction by canceling out the common factor r^2 in both the numerator and denominator. Thus,
ratio = (π - 2) / 2
This fraction is closest to the ratio of the shaded area of the circle to the area between the two squares.
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find the greatest common factor of 15x^6 and 33x^4y^5
Answer:
3x^4
Step-by-step explanation:
Answer:
495x^10 y^5
Step-by-step explanation:
There are 9 chocolate bars in a bag of Halloween candy. The bag is dropped and 5 of the chocolate bars break. You take one random chocolate bar out, eat it and take another out. What is the probability that neither of these were broken?
Answer:
Below
Step-by-step explanation:
4 out of 9 are not broken first bar not broken chance is then 4/9
now there are 8 bars left and 3 are not broken so for the second bar thee is a 3/8 chance of not being broken
4/9 * 3/8 = 12/72 = 1/6
Answer:
it's below because
Step-by-step explanation:
1/6 !!!!!!!!!!!!!!
if the length in inches is 2
14 inch, what would the
actual length be in feet
Students, write your response!
Answer:
17.83 ft
Step-by-step explanation:
Please give the proof process: 2n3 + 3n +10 = Q( n³).
2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".
Let's start by factoring out the common factor of n^3 from each term:
2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)
Now, let's rewrite the expression as a single term multiplied by n^3:
2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3
Simplifying the expression inside the parentheses:
= (2n^3 + 3n^2 + 10n^3)/n^3
= (12n^3 + 3n^2)/n^3
= 12 + 3/n
ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.
Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).
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What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?
$276.61
$326.25
$358.00
$368.91
After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.
To calculate the net pay, we need to subtract the deductions from the gross pay.
Given:
Hours worked = 40
Hourly wage = $8.95
Federal tax deduction = $35.24
Social Security deduction = $24.82
Other deductions = $21.33
First, let's calculate the gross pay:
Gross pay = Hours worked * Hourly wage
Gross pay = 40 * $8.95
Gross pay = $358
Next, let's calculate the total deductions:
Total deductions = Federal tax + Social Security + Other deductions
Total deductions = $35.24 + $24.82 + $21.33
Total deductions = $81.39
Finally, let's calculate the net pay:
Net pay = Gross pay - Total deductions
Net pay = $358 - $81.39
Net pay = $276.61
Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.
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Note the correct and the complete question is
What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?
A.) $276.61
B.) $326.25
C.) $358.00
D.) $368.91
Write the equation in slope-intercept form. Then find the slope and y-intercept of the line.
3x + y = 6
Answer:
y = -3x + 6
Step-by-step explanation:
To make this in slope intercept form, you need to use one step called inverse operation, all that is, is subtracting the 3x from both sides, which will eliminate the 3x on the left and add a negative 3x on the right
David has 3 1 2 cups of blueberries. He uses 1 4 of a cup of blueberries to make a breakfast smoothie. He uses 1 2 of the remaining blueberries to make blueberry pancakes. How many cups of blueberries does he use for the pancakes?.
The cups of blueberries David uses for the pancakes are \(1\frac{5}{8}\).
Given info,
David has 3 1/2 cups of blueberries. He uses 1/4 of a cup of blueberries to make a breakfast smoothie. He uses 1/2 of the remaining blueberries to make blueberry pancakes.
To find how many cups of blueberries he uses for the pancakes;
A starting estimate of blueberries is 3 1/2 cups = 7/2
He made a smoothie with 1/4 cup of blueberries.
The remaining cups are 7/2 - 1/4, which is (14 - 1)/4 = 13/4
He made blueberry pancakes using half of the leftover blueberries.
In other words, he made blueberry pancakes with half of the 13/4 cups of blueberries.
To create pancakes, he needed (1/2 * 13/4) = 13/8
= 1 5/8 cups.
The required solution is in the simplest fraction form.
Hence, the cups of blueberries he uses for the pancakes are \(1\frac{5}{8}\).
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You pay 4.5% interest on your credit card bill every month. This month your bill was $900. How much was your total bill after interest?
Answer:
4,050 IS THE TOTAL AMOUNT
Step-by-step explanation:
900 times 4.5 is 4,050
(if this is correct can i get brainlist)
If x3 - kx2 - 13x + 10 is divided by (x + 2), the remain is 4. Find the value of k using the remainder theorem.
Hope you could understand.
If you have any query, feel free to ask.
Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!
(x + a)^2 + b form can be achieved by a method known as completing the square.
Step 1: Divide the b term by 2 and square it
8 / 2 = 4
4^2 = 16
Step 2: Add and subtract 16 from the expression
---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.
x^2 + 8x + 16 + 14 - 16
x^2 + 8x + 16 - 2
Step 3: Factor the perfect square trinomial
(x^2 + 8x + 16) - 2
(x + 4)(x + 4) - 2
(x + 4)^2 - 2
Answer: (x + 4)^2 - 2
Hope this helps! :)
Evaluate c - 2 when c = 7.
1. Find the measure of the hypotenuse of a right triangle with legs of 11 inches and 60 inches. Explain.
Answer:
61
Step-by-step explanation:
It should be 61
Square 60 and 11 and add them together to get 3271
Then square root 3271
You'll get 61
Which is the answer
A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent
Solve:3m-2(m-3)=1 please help
Answer:
\(3m - 2(m - 3) = 1 \\ 3m - 2m - 6 = 1 \\ m - 6 = 1 \\ m = 1 + 6 \\ m = 7\)
PLEASE MARK ME BRAINLIESTAnswer:
m = -5
Step-by-step explanation:
3m-2(m-3)=1
Distribute
3m -2m +6 = 1
Combine like terms
m+6 =1
Subtract 6 from each side
m+6-6 =1-6
m = -5
the rogers family and the jackson family each used their sprinklers last summer. the water output rate for the rogers family's sprinkler was per hour. the water output rate for the jackson family's sprinkler was per hour. the families used their sprinklers for a combined total of hours, resulting in a total water output of . how long was each sprinkler used?
The Rogers family used their sprinkler for hours and the Jackson family used their sprinkler for hours.
To solve this problem, we can use a system of equations. Let's let x be the number of hours the Rogers family used their sprinkler, and y be the number of hours the Jackson family used their sprinkler. Then we have two equations: x + y = total number of hours used (given as a known value) output rate of Rogers family's sprinkler * x + output rate of Jackson family's sprinkler * y = total water output (also given as a known value) We can then substitute the given values into the equations and solve for x and y. Once we have x and y, we know how long each sprinkler was used.
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which system of linear inequalities is represented by this graphed solution?
A. y > -1/2x + 2
y ≤ 3x - 1
B. y < -1/2x + 2
y ≥ 3x - 1
C. y > -2x + 2
y ≤ 1/3x - 1
D. y ≤ -1/2x + 2
y < 3x - 1
Answer:
B. y < -1/2x + 2 y ≥ 3x - 1Step-by-step explanation:
The gray shadowed area is below descending function and the line is dashed.
It means coefficient x is m<0 and the sign of inequality is y <
So the inequality wich fit it is y < -1/2x + 2
The blue shadowed area is above ascending function and the line is uninterrupted.
It means coefficient x is m>0 and the sign of inequality is y ≥
So the second inequality of system (y ≥ 3x - 1) also match.
The system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
The standard equation of a line is expressed as y = mx + b;
m is the slope of the lineb is the y-intercept of the lineFor the blue line, the y-intercept is at y = -1. For the slope passing through (0, -1) and (2, 5):
m = 5+1/2-0
m= 6/2
m = 3
The equation of the line is y = 3x - 1
Since the line is dashed and the left part shaded, the inequality expression will be y < 3x - 1
For the black line, the y-intercept is at y = 2. For the slope passing through (0, 2) and (4, 0):
m = 0-2/4-0
m= -2/4
m = -1/2
The equation of the line is y = -1/2x + 2
Since the line is solid and the lower part shaded, the inequality expression will be y ≤ -1/2x + 2
Hence the system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
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A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is estimated that 750 bikes will be sold.
--
a) Determine a linear function (equation) that predicts the number of bikes that will be sold each month at any given price.
b) Use your equation from question a to predict how many bikes will be sold at $350.
750 bikes would be sold for $350
Let x represent the number of bikes sold per month and y represent the price.
550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)
A linear function is represented by:
y = mx + b
m is the slope, b is the y intercept.
Therefore the function is:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25\)
The number of bikes sold for $350 is:
350 = (1/2)x - 25
x = 750
Therefore 750 bikes would be sold for $350
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The Booster Club at Martin MS is selling spirit buttons for homecoming. The buttons cost $0.75 to make and will be sold for $2 each. How many buttons, b, must be sold to make a profit of $500? A. $500 = $2b - $0.75b B. $500 = $2b + $0.75b C. $500 + $2b = $0.75b D. $500 - $0.75b = $2b
There are 182 buttons that have to be sold to make a profit of $500. And, the equation that represents the given situation is \(\$500 = \$2b + \$0.75b\) or \(\$500 - \$0.75b = \$2b\) . Therefore, options B and D are true.
Using the idea behind the equation that says,
A set of numerical variables and functions coupled via the use of operations like addition, subtraction, multiplication, and division make form an equation.
Given that,
For homecoming, the Booster Club at Martin Middle School is selling pride buttons.
And, The buttons cost $0.75 to make and will be sold for $2 each.
Let us assume that,
Number of buttons = b
Since we have to calculate the number of buttons to make a profit of $500.
Hence the equation can be written as,
\(\$500 = \$2b + \$0.75b\)
Simplify the equation for b,
\(\$500 = \$2.75b\)
Divide both sides by 2.75,
\(b = \dfrac{500}{2.75}\)
\(b = 182\)
Therefore, the correct option is B and D.
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Pleaseeeee helpppppp, i've been trying to solve this for 7 days!!!!
Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:
-(5/12) - (11/2)x -(5/12) - 8x +(5/2)x (9/4) -2(4x) -2(4/3) + (5/2)xAs given in the question,
Given expression is equal to :
(9/4) -2(4x +4/3) +(5/2)x
Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:
(9/4) -2(4x +4/3) +(5/2)x
= (9/4) - 2(4x) - 2(4/3) + (5/2)x
Simplify the like terms of the given expression we get,
= (9/4) -(8/3) - 8x + (5/2)x
= (27-32)/12 -8x +(5/2)x
= -(5/12) -8x + (5/2)x
= -(5/12) +((-16+5)/2)x
= -(5/12) -(11/2)x
Therefore, solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:
-(5/12) - (11/2)x -(5/12) - 8x +(5/2)x (9/4) -2(4x) -2(4/3) + (5/2)xLearn more about equivalent here
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The graph below shows two congruent triangles, ABC and A'B'C'.
Which rigid motion would map ABC onto A'B'C'?
(1) a rotation of 90 degrees counterclockwise about the origin
(2) a translation of three units to the left and three units up
(3) a rotation of 180 degrees about the origin
(4) a reflection over the line y x
Shonor
(4) a reflection over the line y = x, rigid motion would map ABC onto A'B'C
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, The graph below shows two congruent triangles, ABC and A'B'C'.
Horizontal translation: g(x)=f(x+c).
The graph is translated c units to the left if c>0 and c units to the right if c<0.
Vertical translation: g(x)=f(x)+k.
The graph is translated k units upward if k>0 and k units downward if k<0.
We have,
ΔABC to ΔA'B'C
The reflection over y = x states that,
(x, y) → (y, x)
Now,
The coordinates of ΔABC.
A = (5, 2)
B = (7, -2)
C = (2, -4)
The coordinates of ΔA'B'C
A' = (2, 5)
B' = (-2, 7)
C' = (-4, 2)
This is a reflection of y = x.
Thus,
The rigid motion is a reflection over y = x.
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Complete question:
When Lisa started at her current job, her employer gave her 2 days of paid
vacation time with a promise of 3 additional paid vacation days for each year
she remains with the company to a maximum of 4 workweeks of paid vacation
time. The equation y=3x+2 (where y represents numbers of vacation days and
x represents number of years) models this relationship.
a. It has been 5 years since Lisa began working for this employer. How many
paid vacation days has she earned?
b. When will she reach the maximum number of paid vacation days allowed?
a. The equation computed shows that the number of paid vacation days has she earned will be 17 days.
b. The time when she will reach the maximum number of paid vacation days allowed is 6 years.
How to compute the equation?a. The equation computed shows that the number of paid vacation days has she earned will be:
= 2 + 3x
x = 5
= 2 + 3(5)
= 2 + 15
= 17 days.
b. The maximum number of days for a pod vacation will be:
= 4 × 5
= 20 days.
The time when she will reach the maximum number of paid vacation days allowed will be:
20 = 3x + 2
3x = 20 - 2.
3x = 18
x = 18/3
x = 6 years
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The price of a new car is $42,500 if the sales tax rate is 6% then how much sales tax is being charged?
Answer:$48230 that will be your answer
Step-by-step explanation:$42,500+65=$48230
Answer:
2550
Step-by-step explanation:
6% x 42500
\(\frac{6}{100}\)x\(\frac{42500}{1}\)=\(\frac{255000}{100}\)=\(\frac{2550}{1}\)=2550
2550 turns into 25.50
42500+ 25.50= 42525.50
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