A given cube has a volume of 1728 cubic inches. Find the length of an edge, area of one side, surface area, and surface area in square feet.
A given cube with a volume of 1728 cubic inches:
Find the length of an edge:NEED HELP BADLY PLEASEEEE WILL GIVE BRAINLY
List the next three terms in the following sequence:
1, 2, 4, 8, 16, 32,...
a. 48, 80, 128
b. 64, 96, 160
c. 64, 128, 256
d. 46, 92, 184
what property is illustrated by this problem 2(3 + 4) = 2x 3 +2 x 4
0.008 is 1 tenth of what decimal
Determine if f is a linear or nonlinear function and if f is a constant function.
With regard to mathematics, what is an accepted statement of fact that is used to prove other statements
What value of c makes the trinomial below a perfect square x2 + 10x + c?
Noel Devine bought a new dishwasher for $320. He paid $20 down and made 10 monthly payments of $34. What actual yearly interest rate did Noel pay?
A. 14.55%
B. 29.09%
C. 34.38%
D. 68.75%
Solution:
Cost price of Dishwasher bought by Noel Divine = $ 320
Down payment = $ 20
Amount given in one installment= $ 34
Total Amount paid in 10 Installment = $34 ×10=$ 340
Total amount paid for Dishwasher by Noel Divine = $340 + $ 20 = $ 360
Interest paid by noel = $ 360 - $ 320= $ 40
As the interest will be simple interest
Simple interest =[tex]\frac{Principal \times \text{time} \ \text{rate}}{100}[/tex]
40=[tex]\frac{320 \times R \times \frac{10}{12}}{100}[/tex]
R= [tex]\frac{48000}{3200}[/tex]=15% →→Option A
It snowed 4 times during October. The snowfall amounts were 0.75 inches, 1.93 inches, 4.73 inches, and 2.33 inches. What was the total snowfall for October?
The total snowfall for October was 9.74 inches. Adding the snowfall amounts of 0.75, 1.93, 4.73, and 2.33 inches resulted in this sum.
Let's break down the calculation step-by-step:
Identify the given snowfall amounts for October:
The snowfall amounts are 0.75 inches, 1.93 inches, 4.73 inches, and 2.33 inches.
Add up the snowfall amounts to find the total:
Total snowfall = 0.75 inches + 1.93 inches + 4.73 inches + 2.33 inches.
Perform the addition
Total snowfall = 9.74 inches.
The total snowfall for October was 9.74 inches. This result is obtained by adding all four individual snowfall amounts together.
So, the calculation in step-by-step form is as follows:
0.75 + 1.93 + 4.73 + 2.33 = 9.74 inches.
To know more about total snowfall:
https://brainly.com/question/31382205
#SPJ2
The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 68 feet, what are the lengths of the three sides?
The perimeter of a triangle is:
P = a + b + c
We are given that:
b = a + 3
c = 2 a – 3
Therefore:
68 = a + a + 3 + 2 a – 3
68 = 4 a
a = 17
and,
b = a + 3 = 20
c = 2a – 3 = 31
The shortest side of the triangle measures 17 feet.
The second side of the triangle measures 20 feet.
The third side of the triangle measures 31 feet.
What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle.
Let the shortest side be represented with s.
The second side = 3 + s
The third side = 2s - 3
2s - 3 + 3 + s + s = 68
4s = 68
s = 17
The second side = 17 + 3 = 20
The third side = = (2 x 17) - 3 = 31
To learn more about triangles, please check: https://brainly.com/question/9329354
Math Natalia Gonzalez You already owed your friend $6. This morning you borrowed $4 more and this afternoon you paid back $8. How much money do you owe your friend?
Hi!!
The answer is 2!
Fun fact,my name is Natalia Gonzalez too!!
But
6+4=10
10-8= 2
Hope this helps ya
A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How much will it cost if the painter takes 4.5 hours to paint?
The quotient of a number and five increased by four is sixteen answer
Answer: [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]
Step-by-step explanation:
Since we have given that
The quotient of a number and five increased by four is sixteen a
Let the number be 'x'.
The quotient of a number and five is written as
[tex]\dfrac{x}{5}[/tex]
And it is increased by 4 is written as
[tex]\dfrac{x}{5}+4[/tex]
And the equation is equal to 16.
[tex]\dfrac{x}{5}+4=16[/tex]
And the solution would be
[tex]\dfrac{x}{5}+4=16\\\\\dfrac{x}{5}=16-4=12\\\\x=12\times 5\\\\x=60[/tex]
Hence, [tex]\dfrac{x}{5}+4=16\\\\and\\\\x=60[/tex]
235+374= use rounding or compatible numbers to estimate the sum
A gardener buys a plant that is 12cm in height. Each week after that the plant grows 10cm. Note: The plant is 12cm high at the beginning of the week.
what is the formula and value for t10 and t12 in an arithmetic sequence????
formula = height = 12+10t
where t = number of weeks
so for t10
height = 12+10(10) = 12+100 = 112 cm
for t12
height = 12+10(12) = 12 +120 = 132 cm
Patty is, right now, 3 times as her brother Terry. in 10 years, the sum of their age will be 36. how old are they right now? show your work.
Patty is 12 years old, and Terry is 4 years old. After setting up an equation based on their ages now and in 10 years, we determine that Terry is 4, and since Patty is three times as old, she is 12.
The problem presented is a typical age-related algebraic question. To solve it, we can set up equations based on the information given. Let's define Patty's current age as 3T, where T represents Terry's current age. In 10 years, Patty will be 3T + 10 and Terry will be T + 10. According to the problem, the sum of their ages in 10 years will be 36. So, we can write the following equation:
3T + 10 + T + 10 = 36
Solving this equation:
Combine like terms: 4T + 20 = 36Subtract 20 from both sides of the equation: 4T = 16Divide both sides by 4 to find Terry's age: T = 4With Terry's age being 4, Patty's current age is 3 times Terry's age, which means Patty is 3 × 4 = 12 years old. So, Patty is 12 and Terry is 4 years old right now.
Given f(x) = x − 7 and g(x) = x2 . Find g(f(4)). g(f(4)) =
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~
To solve this we will first find out what f(x) equals at the given point of 4, and than substitute that answer it for g(f(4))...
f(x) = x - 7
f(4) = 4 - 7 = -3
g(f(4)) = (x - 7)^2 > -3^2 = 9
So...
The answer is: g(f(4)) = 9
Answer: 9
Step-by-step explanation:
The quotient of 4 and the difference of an integer and 3 is the same as two-thirds. Find the integer.
The circumference of a circular field is 295.16 yards what is the radius of the field use 3.14 for pi and do not round your answer
The radius of circle is 47 yards.
What is Circumference of circle?The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.
The radius of the circle is considered when applying the formula to determine the circumference of the circle. Therefore, in order to calculate the circle's perimeter, we need to know the radius or diameter value.
Given:
Circumference of circle= 295.16 yards
Now,
circumference of circle= 2πr
295.16= 2 x 3.14 x r
295.16 = 6.28 x r
r = 295.16/ 6.28
r = 47 yards.
Hence, the radius of circle is 47 yards.
Learn more circumference of circle here:
https://brainly.com/question/11213974
#SPJ2
find the perimeter of the triangle
six times the reciprocal of a number equals 2 times the reciprocal of 6. find the number.
one dozen eggs cost 1.98$. How much does 1 egg cost? ( round to the nearest cent )
The cost of one egg is $0.165.
Given that, one dozen eggs cost 1.98$.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, cost of 1 egg = Cost of one dozen eggs ÷ 12
= 1.98/12
=0.165
Therefore, the cost of one egg is $0.165.
To learn more about the unitary method visit:
https://brainly.com/question/22056199.
#SPJ2
Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains the same at all points on the ramp.
Answer:
as the car slides down the ramp it is in kinetic energy and when it is on the top of the ramp it is on potential energy we see that the energy is being transferred
16 pound turkey cost $14.24 what is the price per pound
How to solve 3d+8=2d-17
The value of d for the expression 3d + 8 = 2d - 17 is -25.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
3x = 4 is an equation.
2x = 4 is an equation.
We have,
3d + 8 = 2d - 17
3d and 2d are like terms.
So,
keep like terms on one side.
3 - 2d = -17 - 8
d = -25
Thus,
The value of d is -25.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Simplify 81.56 + n - 2.55.
A)79.10 - n
B)79.01 + n
C)81.56 - 2.55n
The formula for the perimeter of a square is p = 4s, where s is the length of a side. find the perimeter of each square.
Steven investigates the amount of damage to the head gaskets on the trucks in his fleet and finds that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x + 14 to model the relationship. If the temperature increases 1 degree, what happens to the damage index for the head gasket?
Answer:
d
Step-by-step explanation:
Question 1 (3 points) study the Proof Given.
List the reasons for Items 2,3, & 4.
Right the number and then the answer.
Question 2 (3 points
)Study the Proof: Give the reasons for the missing reason. List the number and then state the reason.
If the value of x decreases by 6, how does the value of m(x + 9) change?