What would be an appropriate measure to describe the amount of water in a puddle?
milliliters
feet
tons
miles
Answer:
milliliters
Step-by-step explanation:
The cooking time for a ham is 2/5 of an hour for each pound. A.) How long should you cook a ham that weighs 12 3/4 pounds? B.) Dinner time is 4:45 pm. What time should you start cooking the ham?
To cook a 12 3/4 pounds ham which requires 2/5 of an hour for each pound, it will take approximately 5.1 hours. If dinner is at 4:45 pm, you should start cooking around 11:39 am.
Explanation:The subject of your question is Mathematics. To solve this problem, let's understand first that the cooking time for a ham is 2/5 of an hour for each pound. This means that for each pound of ham, it should be cooked for 2/5 hour.
A.) To find how long you should cook a ham that weighs 12 3/4 pounds, you need to multiply that weight by 2/5. (12 3/4) * (2/5) ≈ 5.1 hours. So, you would need to cook the ham for approximately 5.1 hours.
B.) If dinner time is at 4:45 pm, and you know that the ham takes about 5.1 hours to cook, simply subtract 5.1 hours from the dinner time to find out when you should start cooking. 4:45pm - 5.1 hours ≈ 11:39am. Hence, you should begin cooking at around 11:39am to have the ham ready by 4:45pm.
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. Earl purchased a living room set for $3,592 using a 12-month deferred payment plan. The interest rate after the introductory period is 21.80%. A down payment of $275 is required as well as a minimum monthly payment of $112. What is the balance after the introductory period if only the minimum payment is made until then?
Answer:
The required answer is $2839.25.
Step-by-step explanation:
[tex]112\times12=1344[/tex] dollars
Plus down payment = [tex]1344+275=1619[/tex] dollars
Now, compound interest is found as:
[tex]A=p(1+\frac{r}{n})^{nt}[/tex]
p = 3592
r = 21.80% or 0.2180
n = 12
t = 1
Substituting the values in formula:
[tex]A=3592(1+\frac{0.2180}{12})^{12}[/tex]
=> [tex]A=3592(1.018167)^{12}[/tex]
A = $4458.25
So, Balance = [tex]4458.25-1619=2839.25[/tex] dollars
Therefore, the required answer is $2839.25.
n is the set of real number that are factors of 36
Mohave Community College reimburses faculty members $.298 cents per mile to go to a workshop. Professor Boes submitted her travel log for a total of 650.11 miles. What reimbursement can Professor Boes expect? (Round to the nearest cent.)
Tori computers the value of 8 • 95 in her head by thinking 8(100 - 5)= 8•100 - 8•5 which number property is she using ?
If the following two triangles are similar, find X.
Show work please
5x+4x2(2x+7)-6x2-9x+(x+3)(x-8)
Write this expression as a polynomial in standard form
The volumes of the two solids are equal, and the cross sections shown are taken at the same height above the bases. Find the missing length of the cross section of the rectangular pyramid. Round your answer to the nearest hundredth.
A. 1.59m
B. 1.62m
C. 1.67m
D. 1.76m
HELP!
Solve for x.
−1/3x≤−6
Enter the solution to the inequality in the box.
Answer:
x [tex]\geq[/tex] 18
Step-by-step explanation:
Factor 9y 2 - 12y + 4.
Answer:
Factors of the expression given in the question i.e 9y² - 12y + 4 is (3y -2)(3y -2) .
Step-by-step explanation:
As the expression is given in the question be .
= 9y² - 12y + 4
Simplify the above
= 9y² -6y -6y + 4
= 3y (3y -2) -2 (3y - 2)
= (3y-2)(3y-2)
Therefore factors of the expression given in the question i.e 9y² - 12y + 4 is (3y -2)(3y -2) .
a dime has the circumference of about 56.27 millimeters. What is the radius of the dime? Round to two decimal places!
If y = 15 when X=12 find Y when X=32
By acknowledging the linear relationship between X and Y, we set up a proportion based on the given values and solve for Y when X = 32, finding Y approximately equals 40.
Explanation:This problem relates to the concept of
linear relationships
in mathematics. By understanding the relationship between two variables x and y, you can find the value of one by knowing the value of the other. Here, if y = 15 when X = 12, we can say that the ratio of y to x is constant. Therefore to find the value of Y when X = 32, we will maintain the same ratio. Now, set up a proportion 15/12 = Y/32 and solve for Y. Cross-multiplication gives us: Y = 15 * 32 / 12. After calculating this, Y equals approximately 40. Therefore, the value of Y when X is 32 will be around 40, keeping the relationship linear.
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Maria was given a 5% raise on her weekly salary of $375.
Select from the drop-down menu to correctly complete the sentence.
A. 0.005(400)
B. 0.05(400)
C. 0.5(400)
D. 5(400)
Please explain your answer so I can understand it Thanks!
At the annual dogs show chantel noticed that there were three more Scottie’s than schnauzers. She also realized that the number of wire haired terriers was five less than twice the number of schnauzers if there were 78 dogs in all how many schnauzers were their?
Triangle ABC is similar to triangle PQR, as shown below:
Which ratio is equal to r:c?
A. c:p
B. p:a
C. r:a
D. q:c
rotate the triangles so r and c line up
when you do that Q=B, a=p, C=R, b=q, A=P
so answer would be B. p:a
we know that
If triangle ABC is similar to triangle PQR
then
the corresponding sides are proportional
so
[tex]\frac{RQ}{CB} =\frac{RP}{AC}= \frac{PQ}{AB}[/tex]
substitute the values
[tex]\frac{p}{a} =\frac{q}{b}= \frac{r}{c}[/tex]
therefore
[tex]\frac{r}{c}[/tex]
is equal to
[tex]\frac{q}{b}[/tex] and [tex]\frac{p}{a}[/tex]
the answer is the option B
[tex]\frac{p}{a}[/tex]
Which number is not in scientific notation?
a. 1.1 x 10^213
b. 7.8 x 10^8
c. 3.02 x 10^-10
d. 35 x 10^4
Given: ∆ABC, AB = CB
BD − altitude to AC
P ∈ BD, PB = PC
m∠ABC = 48°
Find: m∠PCD
Answer: The measure of angle PCD is 42 degree.
Explanation:
It is given that in ∆ABC,
AB = CB
BD − altitude to AC
P ∈ BD, PB = PC
∠ABC = 48°
Since the AB and CB are equal therefore by property of isosceles triangle the angle BAC and angel BCA are equal.
According to the angle sum property the the sum of interior angles of a triangle is 180.
[tex]\angle ABC+\angle BAC+\angle BCA=180^{\circ}[/tex]
[tex]48^{\circ}+2\angle BAC=180^{\circ}[/tex]
[tex]\angle BAC=66^{\circ}[/tex]
The altitude BD on AC divides the angle b in two equal parts because triangle ABC is an isosceles triangle.
[tex]\angle PBC=\frac{48}{2}=24^{\circ}[/tex]
Since PB=PC , so triangle BPC is an isosceles triangle.
[tex]\angle PBC=\angle PCB=24^{\circ}[/tex]
From the figure it is noticed that,
[tex]\angle PCD+\angle PCB=\angle BCA[/tex]
[tex]\angle PCD+24^{\circ}=66^{\circ}[/tex]
[tex]\angle PCD=66^{\circ}-24^{\circ}[/tex]
[tex]\angle PCD=42^{\circ}[/tex]
Therefore, the measure of angle PCD is 42 degree.
Denis and Dasha solve this problem in two different ways. The perimeter of a rectangle is 54 centimeters. Its length is 6 centimeters. What is its width? Use the drop-down menus to complete the sentences below.
Final answer:
To find the width of a rectangle with a perimeter of 54 cm and a length of 6 cm, use the formula P = 2l + 2w. After plugging in the given values and simplifying, the width is calculated to be 21 cm.
Explanation:
Finding the Width of a Rectangle
To solve this problem, we remember that the perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Given the perimeter is 54 centimeters and the length is 6 centimeters, we can set up the equation as follows: 54 = 2(6) + 2w. Simplifying this, we get 54 = 12 + 2w, and then subtracting 12 from both sides gives us 42 = 2w. Dividing both sides by 2, we find the width w to be 21 centimeters.
Step-by-Step Calculation
Start with the formula for the perimeter of a rectangle: P = 2l + 2w.Substitute the given values into the formula: 54 = 2(6) + 2w.Simplify the equation: 54 = 12 + 2w.Isolate the width term: 42 = 2w.Divide both sides by 2 to solve for the width: w = 21.Therefore, the width of the rectangle is 21 centimeters.
For a right triangle with an altitude of 12 and a base of 16, find the length of the hypotenuse.
identify a pattern and find the next number in the pattern -0.8, -3.2, -12.8, -51.2
A:-358.4
B:-204.8
C:-51.2
D:4
The next number in the pattern -0.8, -3.2, -12.8, -51.2 is -204.8.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
The numbers are -0.8, -3.2, -12.8, -51.2.
To find the pattern:
Divide the number to find the proportionate rate,
-3.2/-0.8 = 4
-12.8/-3.2 = 4
-51.2 /-3.2 = 4
So, the proportionality relationship is,
number = 4 x previous number.
So, the next number,
-51.2 x 4
= -204.8
Therefore, the number is -204.8.
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Write an equation in slope-intercept form of the line through point (6, –1) with slope m=4. Question 6 options: y + 1 = 4(x – 6) y = 4x – 1 y = 4x – 25 y + 6 = 4(x – 1)
the first side of a triangle is 3 m shorter than the second side. the third side is 4 times as long as the first side . the perimeter is 27 m. find the length of each side
Write a function rule (equation) that represents each table.
If you travel 156 miles on 4 gallons of gasoline how far can you travel on 12 gallons how many miles on 6 gallons
You can travel a distance of 468 miles on 12 gallons of gasoline and a distance of 234 miles on 6 gallons of gasoline.
What is Proportion?Proportion is the setting of two or more ratios to be equal.
That is, if there is a ratio between a and b and another ratio between c and d, then we can say that,
a : b = c : d ⇒ a/b = c/d ⇒ a d = b c
We have,
Distance travelled is 156 miles on 4 gallons of gasoline.
We have to find the distance travelled on 12 gallons and 6 gallons of gasoline.
Let x be the distance travelled on 12 gallons of gasoline and y be the distance travelled on 6 gallons of gasoline.
We have a proportional relation here,
156 : 4 = x : 12 = y : 6
First taking the relation,
156 : 4 = x : 12
⇒ 156/4 = x/12
⇒ 39 = x/12
⇒ x = 39 × 12
⇒ x = 468
Taking the second relation,
156 : 4 = y : 6
⇒ 156/4 = y/6
⇒ 39 = y/6
⇒ y = 39 × 6
⇒ y = 234
Hence you can travel 468 miles on 12 gallons and 234 miles on 6 gallons.
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Factor this polynomial expression. x2 – 18x + 81
Factorizing the polynomial expression x² - 18x + 81 = (x - 9)²
What is factorization?Factorization is the simplification of an expression into a smaller expression using its factors.
To factor this polynomial expression. x² - 18x + 81, we proceed as follows
Since we have the polynomial expression x² - 18x + 81, we multiply x² by 81 to get x² × 81 = 81x².
Now, we look for the factors of 81x² such that the sum of those factors equal - 18x
So, we have that 81x² = -9x × (-9x)
So, -18x = -9x - 9x
So, replacing this with -18x, we have that
x² - 18x + 81 = x² - 9x - 9x + 81
Now, factorizing, we have that
x² - 9x - 9x + 81 = x(x - 9) - 9(x - 9)
= (x - 9)(x - 9)
= (x - 9)²
So, factorizing x² - 18x + 81 = (x - 9)².
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Three zeroes of a fifth degree polynomial function are 1/3, 4-6i and -2 +11i. Determine the remaining zeroes of the function.
Answer:
Answer is option A
Step-by-step explanation:
Given that there is a fifth degree polynomial. The three zeroes are given as
1/3, 4-6i, -2+11i
Since the polynomial having real coefficients will have imaginary roots occurring in conjugates only we can say that the imaginary roots will have conjugates also as zeroes of the polynomial.
We have one real root 1/3.
The imaginary roots are 4-6i and -2+11i
Hence these conjugates will be zeroes
i.e. [tex]4-6i, -2-11i[/tex] are the other zeroes
Option A is right.
what times 8 equals 36
The result of dividing 36 by 8 is 4.5. This means that there is no whole number that when multiplied by 8 equals 36; the closest is 4, giving us 32, with a remainder that results in 4.5 as the exact quotient.
The question the student is asking relates to basic arithmetic multiplication. Specifically, they're looking for a number that, when multiplied by 8, results in 36. To solve for this, we would generally divide 36 by 8.
However, because 36 is not a multiple of 8, we cannot get a whole number as the result. Instead, the closest we can get without going over is 4, because 4 multiplied by 8 equals 32. If we divide 36 by 8, the result is 4 with a remainder, or 4.5 (which can be expressed as 41/2).
The correct approach to find the quotient is to perform the division 36 / 8, which equals 4.5. To understand this better, you can think of it as having 36 objects that you want to divide into groups of 8 and trying to see how many full groups you can make. You would be able to make 4 full groups with 4 objects left over, or you could see it as making 4 and a half groups.
What percent of 67.5 is 7.02 ? Answer in proportions
The percent of 67.5 is equal to 7.02 is for the number 10.4.
To find what percent of 67.5 is 7.02, we can use proportions.
Let's represent the unknown percentage as 'x'. The proportion can be set up as follows:
(7.02 / 67.5) = (x / 100)
Now, solve for 'x':
7.02 × 100 = 67.5 × x
702 = 67.5x
x = 702 / 67.5
x ≈ 10.4
Therefore, 7.02 is approximately 10.4 percent of 67.5.
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The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.
What is the area of the area NOT covered by the carpet?
Answer: The required area of the room that is NOT covered by the carpet is 192 ft².
Step-by-step explanation: Given that the Smith wants to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room.
We are to find the area of the room that is NOT covered by the carpet.
We know that the area of a rectangle is given by the product of its length and breadth.
So, the area of the carpet bought by Smith is
[tex]A_c=9\times12=108~\textup{ft}^2,[/tex]
and the are of the room is
[tex]A_r=15\times 20=300~\textup{ft}^2.[/tex]
Therefore, area of the room that is NOT covered by the carpet will be
[tex]A=A_r-A_c=300-108=192~\textup{ft}^2.[/tex]
Thus, the required area of the room that is NOT covered by the carpet is 192 ft².