Find the odds in favor of rolling a two of a kind when rolling a pair of dice
5 to 1
3 to 1
1 to 5
1 to 3
Gabriela buys a basketball for $78 and a soccer ball for $32 she must pay 8.5% sales tax. What is the total amount she must pay?
Final answer:
To find the total amount Gabriela must pay for the basketball and soccer ball including sales tax, add the cost of the items, convert the tax rate to a decimal, calculate the tax amount, and then add it to the subtotal for a total of $119.35.
Explanation:
To calculate the total amount Gabriela must pay after purchasing a basketball for $78 and a soccer ball for $32 with an 8.5% sales tax, we need to follow these steps:
Firstly, we calculate the subtotal by adding the price of the basketball and the soccer ball: $78 + $32 = $110.
Next, we convert the sales tax rate from a percentage to a decimal by dividing by 100: 8.5% ÷ 100 = 0.085.
Then, we calculate the total sales tax by multiplying the subtotal by the sales tax rate: $110 × 0.085 = $9.35.
Lastly, we add the sales tax to the subtotal to find the total amount Gabriela must pay: $110 + $9.35 = $119.35.
Therefore, after including the sales tax, the total amount Gabriela must pay is $119.35.
What is the volume of a sphere with a radius of 5 cm
Use 3.14 for pie
help!
Twenty seventh grade students are polled about which of three ice cream flavors they prefer. If one student is picked at random, which of the following tables represents vanilla as an event that is likely?
tickets to a play cost $11 each. There is also a service charge of $4 per order. Write ab equation for the relationship that gives the total cost y in dollars for an order of x tickets.
The equation representing the total cost of an order of tickets is y = 11x + 4, where y is the total cost and x is the number of tickets.
Explanation:The problem involves a constant service charge and a variable cost that depends on the number of tickets bought. In this case, the constant cost is the $4 service fee and the variable cost is the $11 per ticket. We express this relationship with the equation y = 11x + 4, where y is the total cost and x is the number of tickets purchased.
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3 2/3 + 7 1/5 simplify if possible
Each morning, the employees in an office drink at least 73 cups of coffee. Write an inequality that represents this situation. Let c represent the number of cups of coffee.
An inequality is???????
Li wants buy a jacket is originally Price at $65.00. Today the store is advertising the jacket for 40°/° off the original price.
How many pennies are in $578
one inch equals to 2.54 cm. Write an equation for the length x, in inches, that equals to 15 cm
Final answer:
To convert 15 cm to inches, use the conversion factor 1 inch = 2.54 cm and set up a proportion. Solve for x to find that 15 cm is approximately equal to 5.91 inches.
Explanation:
To write an equation for the length x, in inches, that equals to 15 cm, we can use the conversion factor 1 inch = 2.54 cm. We can set up a proportion to solve for x:
1 inch/2.54 cm = x inch/15 cm
Cross multiplying, we get:
2.54x = 15
Dividing both sides by 2.54, we find that x = 5.91 inches.
vita wants to center a towel bar on her door that is 27 1/2 inches wide . she determines that the distance from each end of the towel bar to the end of the door is 9 inches. write and solve an equation to find the length of the towel bar
The length of the towel bar is 9.5 inches.
Explanation
Suppose, the length of the towel bar is [tex]x[/tex] inches.
The distance from each end of the towel bar to the end of the door is 9 inches. So, the total width of the door will be: [tex][x+(9*2)] = (x+18)inches[/tex]
Given that, the width of the door is [tex]27\frac{1}{2}[/tex] inches or 27.5 inches. So, the equation will be........
[tex]x+18=27.5\\ \\ x=27.5-18= 9.5[/tex]
Thus, the length of the towel bar will be 9.5 inches.
Final answer:
Vita can center the towel bar on her 27 1/2-inch wide door by ensuring it is 9.5 inches long. This is done by deducting the combined distances from the ends of the towel bar to the door edges (18 inches) from the total width of the door.
Explanation:
Vita wants to find the length of the towel bar that she wants to center on a door that is 27 1/2 inches wide, with the distance from each end of the towel bar to the end of the door being 9 inches. To solve for the length of the towel bar, we denote the length of the towel bar by x. Then, we can set up an equation where the sum of the distances from both ends of the towel bar to the door edges and the length of the towel bar itself equals the width of the door.
The equation will be:
9 inches + x + 9 inches = 27 1/2 inches
We combine the known distances to simplify the equation:
18 inches + x = 27 1/2 inches
To find x, we subtract 18 inches from both sides of the equation:
x = 27 1/2 inches - 18 inches
Converting 27 1/2 inches to a decimal, we have 27.5 inches. Thus:
x = 27.5 inches - 18 inches
x = 9.5 inches
Therefore, the length of Vita's towel bar should be 9.5 inches long to be centered on her 27 1/2-inch wide door.
At 7:45 a.m. Mike began walking to school. He arrived at his school at 8:20 a.m. How long did it take him to walk to school?
A. 15 minutes
B. 25 minutes
C. 35 minutes
D. 40 minutes
E. 65 minutes
11x−6y=5 −4x−6y=13 How many solutions does this system have
If a number is divisible by 2, then it is even. What is the inverse of this statementWhat is the inverse of this statement?
If a number is divisible by 2, then it is not even.
If a number is not divisible by 2, then it is not even.
If a number is not divisible by 2, then it is even.
If a number is even, then it is divisible by 2.
The inverse of the statement "If a number is divisible by 2, then it is even" is "If a number is not divisible by 2, then it is not even." According to logical operations in mathematics, an inverse involves both swapping and negating the components of the original statement.
Explanation:In the field of mathematics, the inverse of a statement swaps both the hypothesis and the conclusion, and applies a negation to them. The original statement given is, "If a number is divisible by 2, then it is even". The inverse of this statement switches and negates the components, resulting in: "If a number is not divisible by 2, then it is not even". Therefore, the second provided option is the correct one.
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The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4). The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).
Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?
a) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.
b) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions
c) Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.Answer:
D
Step-by-step explanation:
1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.
2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.
(Check graph 2)
3) So it's d, the only correct choice:
d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.
2 times 2 plus 10 plus 200 plus 56
Answer:
270
Step-by-step explanation:
2*2+10+200+56=270
What is the first derivative of 3\sqrt[3]{x^4}-12\sqrt[3]{x}?
Write the equation in standard form for the circle passing through ( - 1,3) centered at the origin.
Final answer:
The standard form equation of a circle centered at the origin and passing through (-1,3) is x² + y² = 10, where √10 is the radius of the circle calculated using the distance formula.
Explanation:
To write the equation of a circle in standard form that is centered at the origin and passes through the point (-1,3), you first need to calculate the radius using the distance formula. The distance formula is √((x2-x1)² + (y2-y1)²), where (x1, y1) is a point on the circle and (x2, y2) is the center of the circle. Since the circle is centered at the origin, (0,0), we can compute the radius as follows:
Radius = √((-1 - 0)² + (3 - 0)²) = √(1 + 9) = √10
The standard form of the equation for a circle centered at (h, k) with a radius r is:
(x - h)² + (y - k)² = r²
Since our circle is centered at the origin, h = 0 and k = 0, and the radius r = √10, the equation becomes:
x² + y² = 10
A woman borrows $6,000 at 9% compounded monthly, which is to be amortized over 3 years in equal monthly payments. for tax purposes, she needs to know the amount of interest paid during each year of the loan. find the interest paid during the first year, the second year, and the third year of the loan. [hint: find the unpaid balance after 12 payments and after 24 payments.
Solve this problem using the proper formula
A gardener is installing a circular garden. The circumference of the circle 132 feet. What radius should he use to layout the circle if he uses p=22/7?
The radius is feet.
Given that the garden should be in a circular shape.
And the circumference of the circle would be, C = 132 feet.
It says to find the radius of the circular garden, r = ?
We know the formula for Circumference of the circle is given as follows :-
Circumference of circle = 2π x radius
C = 2·π·r
Hint:- It says to use pi = 22/7.
[tex] 132=2*\frac{22}{7}*r \\\\
132=\frac{44}{7}*r \\\\
r=132*\frac{7}{44} \\\\
r= \frac{924}{44} \\\\
r= 21 \;feet [/tex]
Hence, Radius would be r = 21 feet.
what the circumstances of a circle with a diameter of 12ft
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units.
How many 1/2 unit cubes does it take to fill the prism?
48. If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.
Answer:
48
Step-by-step explanation:
If a number is located farther right on the number line than another, then it is larger. True False
Answer:
it is TRUE my homei
Step-by-step explanation:
Sandy is driving cross country. She has covered 200 miles from the east coast towards the west coast. She has driven this distance in 2 days.
If Sandy continues to drive at this rate, which equation represents the total number of miles , m, she would cover in d more days?
A
m=2d
B
m=100d+200
C
m=300d
D
m=200d+100
plz help ill give you brainlist plz help
The pyramid shown has a square base that is 18 inches on each side. The slant height is 16 inches. What is the surface area of the pyramid?
Answer:
txt
Step-by-step explanation:
A 8920 note is signed for 160 days at a rate of 6.5% find the proceeds
Find the product identify the two whole numbers between which the product lies 7x 8/10?
What is 36j + j
please help and explain if you can!!! :)
Which function is the inverse of f(x)=4x-1?
The function f⁻¹(x) = x/4 + 1/4 is the inverse of f(x)=4x-1
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable). In maths and the physical sciences, functions are indispensable for formulating physical relationships.
The function is given as f(x)=4x-1
To determine the inverse of a function, switch the places of x and y (or f(x)).
f(x) = 4x - 1
y = 4x - 1
Switch the variables;
x = 4y - 1
Now, convert the equation back into y = mx + b form.
x + 1 = 4y
y = x/4 + 1/4
f⁻¹(x) = x/4 + 1/4
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