Answer: 2000
Step-by-step explanation:
Simple interest is calculated as:
(Principal × Rate × Time) / 100
We then slot the value into the formula. This would be:
720 = (P × 6 × 6)/100
720 × 100 = 36P
72000 = 36P
Principal = 72000/36
Principal = 2000
A book is open to two consecutative pages whose product is 1,806. What is the sum of the 2 page numbers?
Answer:
42, -43
Step-by-step explanation:
What is 78.74 rounded to the nearest tenth
Answer: 78.74 is closer to 80 than 70. The answer is 80
Step-by-step explanation:
Jim bought a meal in a town that has no sales tax. He tlps 15%. Select all the meals Jim could buy for less than or equal to $30 total.
Jim bought a meal in a town that has no sales tax. He tlps 15%. All the meals Jim could buy for less than or equal to $30 total are $20.54 meal and $26.08 meal.
1 ) Oceanside Bike Rental Shop charges 12 dollars plus 9 dollars an hour for renting a bike. Dan paid 84 dollars to rent a bike. How many hours did he pay to have the bike checked out ?
Answer:
8 hours
Step-by-step explanation:
84-12=72
72/9=8
How much will Bill pay in Medicare if he makes $100,000 next year?
Answer:
what are the answer questions?
Step-by-step explanation:
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When we compare two fractions with the same numerator, which
statement below is true?
А
The fractions with the same
numerators are the same.
11
The fraction with the smaller
denominator is the larger fraction.
C
The fraction with the larger
denominator is the larger fraction.
D.
We cannot say which is larger or
smaller than the other.
Answer:
The fraction with the smaller denominator is the larger fraction.
Step-by-step explanation:
Let's take [tex]\frac{5}{6}[/tex] and [tex]\frac{5}{10}[/tex]. The larger the denominator, the more the number of pieces. So if you have a pizza box divided into 6 slices, and they are all the same size, compared to that same box of pizza divided into 10 slices. Each of those 10 slices will be smaller than the 6 slices. Now if you eat 5 of the 6 slices, compared to if you eat 5 of the 10 slices, which one will make you more full and you know that you have eaten a lot? Of course, it is the 5 out of 6 slices because each of those slices is bigger. So the smaller the denominator of the fraction, the larger it is (if the numerator stays the same).
The growth of a sample of bacteria can be modeled by the function bt=1001.06t where b is the number of bacteria and t is time in hours. What is the number of total bacteria after 3 hours?
Given:
The growth of a sample of bacteria can be modeled by the function
[tex]b(t)=1001.06t[/tex]
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
[tex]b(t)=1001.06t[/tex]
where, b is the number of bacteria and t is time in hours.
Substituting t=3, we get the number of total bacteria after 3 hours.
[tex]b(3)=1001.06(3)[/tex]
[tex]b(3)=3003.18[/tex]
Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.
[tex]b(3)\approx 3003[/tex]
Therefore, the number of total bacteria after 3 hours is about 3003.
For every 2 reeses pieces, there are 7 snickers. If there are 16 reeses pieces, how many total pieces of candy are there?
Answer:
There are 72 pieces of candy.
Step-by-step explanation:
Since there are 16 Reeses in all, we need to find out how many 2's can fit in 16. We can do that by either multiplying or dividing.
16 ÷ 2 = 8 or 8 × 2 = 16
So we have 8 groups of 2 Reeses, now we need to multiply the groups of Reeses by how many Snickers.
So:
8 × 7 = 56
Now we need to add the Snickers and the Reeses.
56 + 16 = 72
Answer:
72 candies
Step-by-step explanation:
To find the number of snickers, divide the 16 reese's pieces by two to get 8. For every two reese's pieces, there are seven snickers, so multiply that by seven to get 56. There are 56 snickers. Add the 56 snickers to the given 16 reese's pieces for 72 total pieces of candy. Hope this helped ^^
evaluate
-8÷2+12×9-4×6
Answer:
Step-by-step explanation
PEMDAS
I would insert some parenthesis first
(-8/2)+(12*9)-(4*6)=
(-4)+(108)-(24)=-4+108-24=80
Which expression has a value greater than the given expression when a = 2?
2(a + 6)
2a + a²
2a + 12
4a + 8
a4+2
Step-by-step explanation:
a4+2
Compute the exact value of the function for the given x-value without using a calculator.
f(x) = 5x for x = -1
a. 1/5
b. -1/5
c. 1/1
d. -5
Answer:
d
Step-by-step explanation:
Given
f(x) = 5x , then substitute x = - 1, that is
f(- 1) = 5 × - 1 = - 5 → d
Answer:
D
[tex]f(x) = 5x \: \: \: when \: x = - 1 \\ f( - 1) = 5( - 1) \\ f( - 1) = - 5[/tex]
The line passing through which two points is parallel to the line x - 2y = 16?
A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8
Answer:
E) -4,7 and -2,8
Step-by-step explanation:
parallel lines have same slope
x - 2y = 16
y = 1/2 x -8 slope: 1/2
E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2
Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
----------------------
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.----------------------
The line given is:
[tex]x - 2y = 16[/tex]
In slope-intercept formula:
[tex]2y = x - 16[/tex]
[tex]y = \frac{x}{2} - 8[/tex]
----------------------
In this question, we want a line with an slope of 1/2.
At option E, the points are (-4,7) and (-2,8), thus, the slope is:
[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]
Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.
A similar problem is given at https://brainly.com/question/22532445
I need it step by step please
Answer:
The equation of the line passes through (3, -2) and parallel to the given line:
[tex]y = 3x-11[/tex]The equation of the line passes through (3, -2) and perpendicular to the given line:
[tex]y=-\frac{1}{3}x-1[/tex]Step-by-step explanation:
Given the points on the graph line
(2, -1)
(1, -4)
Finding the slope between (2, -1) and (1, -4)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]
[tex]m=\frac{-4-\left(-1\right)}{1-2}[/tex]
[tex]m=3[/tex]
Equation of the line passes through (3, -2) and parallel to the given line.
We know that parallel lines have the same slope.
so the equation of the line parallel to the given line = 3
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (3, -2)
[tex]y - (-2) = 3(x-3)[/tex]
[tex]y+2 = 3x-9[/tex]
[tex]y = 3x-9-2[/tex]
[tex]y = 3x-11[/tex]
Therefore, the equation of the line passes through (3, -2) and parallel to the given line:
[tex]y = 3x-11[/tex]
The equation of the line passes through (3, -2) and perpendicular to the given line
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Therefore, substituting the values of perpendicular slope = -1/3 and the point (3, -2) in the point-slope form of the line equation
[tex]y-\left(-2\right)=-\frac{1}{3}\left(x-3\right)[/tex]
[tex]y+2=-\frac{1}{3}\left(x-3\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=-\frac{1}{3}\left(x-3\right)-2[/tex]
[tex]y=-\frac{1}{3}x-1[/tex]
Therefore, the equation of the line passes through (3, -2) and perpendicular to the given line:
[tex]y=-\frac{1}{3}x-1[/tex]
Conclusion:
The equation of the line passes through (3, -2) and parallel to the given line:
[tex]y = 3x-11[/tex]The equation of the line passes through (3, -2) and perpendicular to the given line:
[tex]y=-\frac{1}{3}x-1[/tex]plzzzzzzzzzzzzzzzzzzzzzz
Answer:
1. 4e^2
2. 2c^2
3. 3a^4
Step-by-step explanation:
1. 12e^5/3e^3.
Simplify:
12/3=4
e^5/e^3=3^2.
4e^2.
2. 8c^3d^2/4cd^2
d^2 cancels out
c^3/c^1=c^2
8/4=2
2c^2.
3. 4a*6a^5/8a^2.
First combine 4a*6a^5
4a^1*6a^5
24a^6.
24a^6/8a^2
3a^4.
Hope this helps you :D
Have a great day :D
What is the volume of the toy top pictured below?
Answer:
The volume of the top toy is 67.1175 cubic feet
Step-by-step explanation:
The toy top is a composite figure of a cylinder and an hemisphere, the volume of the figure is therefore, the sum of the volume of the cylinder and the hemisphere
The dimensions of the cylinder are;
The height of the cylinder = 6 feet
The diameter of the cylinder, [tex]D_{cylinder}[/tex] = 1.5 feet
Therefore, the radius of the cylinder, [tex]r_{cylinder}[/tex]= 1/2 × [tex]D_{cylinder}[/tex] = 1/2 × 1.5 ft. = 0.75 ft.
The volume of the cylinder = Area of the base × Height = π × [tex]r_{cylinder}^2[/tex] × (The height of the cylinder)
Where;
π = 3.14
∴ The volume of the cylinder = 3.14 × (0.75 ft.)² × 6 ft.= 10.5975 ft.³
The dimensions of the hemisphere are;
The diameter of the hemisphere, [tex]D_{hemispher}[/tex] = 6 feet
Therefore, the radius of the hemisphere, [tex]r_{hemisphere}[/tex]= 1/2 × [tex]D_{hemispher}[/tex] = 1/2 × 6 ft. = 3 ft.
The volume of the hemisphere = 2/3×π×[tex]r_{hemisphere}^3[/tex]
∴ The volume of the hemisphere = 2/3 × 3.14 × (3 ft.)³ = 56.52 ft.³the
The volume of the top toy = The volume of the cylinder + The volume of the hemisphere
∴ The volume of the top toy = 10.5975 ft.³ + 56.52 ft.³ = 67.1175 ft.³.
Are Linear Pairs congruent all the time on a transversal line?
Answer:
yes
Step-by-step explanation:
When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!
The number of blood donors at an annual drive increased this year by 20% from last year. If there were d donors last year, write two different expressions for the number of donors this year. Select all that apply
A. 1.20d
B. d+0.20d
C. d - 0.20d
D. 0.80d
Answer:
A and B
Step-by-step explanation:
What is the solution to the system of equations?
y = 2x + 6
y= x+ 2
A. (0,0)
C. (-2,-4)
B. (-4,-2)
D. (3,6)
Answer:
B
Step-by-step explanation:
Given the 2 equations
y = 2x + 6 → (1)
y = x + 2 → (2)
Substitute y = 2x + 6 into (2)
2x + 6 = x + 2 ( subtract x from both sides )
x + 6 = 2 ( subtract 6 from both sides )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 4 + 2 = - 2
solution is (- 4, - 2 ) → B
please help with this question i really need help
Answer:
(x+15)+(3x-17)=90
4x-2=90
x=92/4=23
24 students took a test, 14 students got an a, 10 got a b, a student will be randomly chosen. what is the probabillity that the student earned an a?
enter answer in simplist form, as a fraction.
PLEASE ANSWER ASAP!
Answer:
7/12
Step-by-step explanation:
14/24 people have an a divide by 2 to simplify
Question 1 (3 points)
Match the compisite figures to it's area.
For any composite figures including circles, use 3.14 for \large \pi
Column A
1.
:
2.
:
3.
:
Column B
a.151 cm squared
b.4846.40 cm squared
c.156 cm squared
d.1,379.84 cm squared
e.1,285.64 cm squared
f.114 cm squared
g.Answer not given
h.576 cm squared
i.72 cm squared
j.108 cm squared
k.66 cm squared
Question 2 (1 point)
a
576 sq ft
b
492 sq ft
c
472 sq ft
d
388 sq ft
Question 3 (4 points)
Find the area of the composite figures below.
Use 3.14 for \large \pi
Column A
Column A
1.
:
2.
:
3.
:
4.
:
Column B
a.91.8 in. squared
b.64 in. squared
c.59.8 in. squared
d.464 in. squared
e.99.25 in. squared
f.181.4 in. squared
g.189.25 in. squared
h.96 in. squared
i.228.5 in. squared
j.Answer not given
Answer:
a is the awnsers don't ask why
Pablo Picasso obtained a loan of $2,400 to install a new roof on his home. The interest rate is 12% and the monthly payment is $113.04. What is the interest on the first monthly payment?
A) $24.00
B) $25.04
C) $29.90
D) $32.01
A chess team is ordering customized T-shirts for a competition. The table shows the cost of orderi
Number of T-shirts, 6 12 18
24
Cost (dollars), y
108
180
252
324
A linear model is yr
Answer:
12x+36
Step-by-step explanation:
If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this in y=mx+b, the equation is y=12x+36.
A linear model will be 12x+36.
What is a linear model?A linear model specifies a linear relationship between a dependent variable and n independent variables.
Given that, A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering
Number of T-shirts, 6 12 18 24
If we subtract 36 from all 4 y's we get 72, 144, 216, and 288. We divide each one by 6, 12, 18, and 24. After we divide them up, we get 12 for each one. Now we need to set the equation up, it has to be 12x because the price of just one T-shirt is $12, the x is how many T-shirts are bought. The 36 is the b-intercept of the equation, and since we write this as y=mx+b, the equation is y=12x+36.
Hence, A linear model will be 12x+36.
For more references on linear model, click;
https://brainly.com/question/29409495
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combine like terms to simplify each expression. 1: 3/4z(3)+4-1/4z(3). 2: 3.4m+2.4m. 3: 4.2n+5-3.2n. 4: q(5)+q(5)+q(5). 5: 3x+1/4+2y+1/4+7x-y. 6: 1.5z(2)+4.5+6z-0.3-3z+z(2)
Explanation and steps to the expressions are marked in order in the images below.
1. Answer is 3z/2 + 4
2. Answer is 5.8m
3. Answer is n + 5
4. Answer is 15q
5. Answer is 10x + 1/2 + y
6. Answer is 8z + 4.2
The maximum is five images, so I cannot add the last explanation and steps for the last expression.
Meters using decimal
a) 670 cm
b) 12m 7cm
c) 86cm
Answer:
I assume we are converting to meters so
a) 6.7 m
b) 12.07 m
c) 0.86 m
Step-by-step explanation:
To convert cm to m you divide the cm value by 100
A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there
Answer:
60,949,324,800
Step-by-step explanation:
We solve the above question using Permutation formula
The formula for Permutation =
nPr = n!/(n - r)!
Total Amount in a Set (n) = 20 persons
Amount in each Sub-Set (r) = 9 batting order
Hence:
20P9 = 20!/(20 - 9)!
= 60,949,324,800
Therefore, the different batting orders they would have are: 60,949,324,800
What is 0.80 as a fraction?
Answer:
just type it into ur web browser and you can get the answer
Step-by-step explanation:
thats what i do <3
Perform the requested operation or operations. F(x)=4x+9, g(x)=4x^2 Find (f+g)(x)
A) 16x^3 +36x
B) 4x+9/4x^2
C) 4x+9-4x^2
D)4x+9+4x^2
Keystones tomorrow please help. Last options are B.400 C.600 D.2500
Answer:
b = 600 ft.
Step-by-step explanation:
bill spent less than $26 on a magazine and five composition books. the magazine cost $4. write an inequality to represent the situation and then solve the inequality to find the maximum cost of each composition books.
Answer:
6.5
Step-by-step explanation: