3/7 + 1/3 is equivalent to
Answer:
7/21+9/21=16/21
Hope it helps
Have a good day
Answer:
16/21
Step-by-step explanation:
[tex]\frac{3}{7}+\frac{1}{3}[/tex]
First, make them have a common denominator.
The least common factor of 7 and 3 is 21, so you can do
3/7 * 3/3 = 9/21
1/3 * 7/7 = 7/21
The new expression would be:
[tex]\frac{9}{21}+\frac{7}{21}[/tex]
[tex]\frac{16}{21}[/tex]
So the answer is 16/21
3. Each year Mark deposited a certain amount of money in an
account which pays an annual intrest rate of r so that at the end of
the each year the balance in the account is mulitpled by growth
factor of x=1 + r. $800 is deposited at the start of the first year, an
additonal $500 is deposited at the start of the next year, and $300
at the start of the following year.
a. Write an expression for the value of the account at the end of
three years in terms of the growh factor x. (2 pt)
b. Dale also deposited money into his own account. His expression
is represented by
1000x5 + 800x4 + 200x2 + 500x + 700
In the past 5 years, Dale made a deposit every year except for
which year? (1 pt)
Answer:
3
Step-by-step explanation:
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]
From the figure,
θ = 30, and r = 65
Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65
= 1 1065.55[tex]m^{2}[/tex]
Area of rectangle = length x width
= 65 x 4
= 260 [tex]m^{2}[/tex]
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 [tex]m^{2}[/tex].
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
[tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]
[tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
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Jay has two boards. The length of the first board is 1 and 2-thirds feet, and the length of the second board is 5-eighths foot. Jay estimates that the combined length of the boards must be less than 2 feet.
PLEESSSE HELP ASAP !!!! WILLL GET BRAINLIEST
Answer:
B
Step-by-step explanation:
B/ y - 4 = 4/3(x - 6)
HELP ME PLEASE
uh please help quick !!
solve for x ( angle solving )
Answer:
24°
Step-by-step explanation:
x + 9° + 147° = 180° ( being linear pair)
x = 180° - 156°
x = 24°
Please help me please
is your high school on crack or what, i can not figure this out...
Whats the slope form?
Answer:
Step-by-step explanation:
slope form = 3/4
Answer:
slope form=3/4
Step-by-step explanation:
slope form is 3/4
3(21+n)=12 Please help
Answer:n=-17
Step-by-step explanation:
Write an equation in point slope form of a line passing through 3,6 having a slope of 1/3 ASAP please
Step-by-step explanation:
hbbuijiiiiiiidontttttknowwwwsorryyyyyyyyyyyy
Question 4 (Essay Worth 10 points)
(06.05 MC)
Iris is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 25 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 25w represents the number of seeds she plants per week, where w represents the number of weeks.
Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks. (4 points)
Part B: What are the units of measurement for the composite function in Part A? (2 points)
Part C: Evaluate the composite function in Part A for 30 weeks. (4 points)
Answer:
(a) f (w)=50w+25
b number of flowers for a given number of weeks
(c) f (30)=1525
Step-by-step explanation: hope this helps :)
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is [tex]f(w) = 50w + 25[/tex] and the number of flowers for 30 weeks is 1525.
Given that:
[tex]f(s) = 2s + 25[/tex]
[tex]s(w) = 25w[/tex]
The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)
[tex]f(s) = 2s + 25[/tex]
Replace s with s(w)
[tex]f(s(w)) = 2(s(w)) + 25[/tex]
Substitute [tex]s(w) = 25w[/tex]
[tex]f(s(w)) = 2(25w) + 25[/tex]
[tex]f(s(w)) = 50w + 25[/tex]
Hence:
[tex]f(w) = 50w + 25[/tex]
The units of the measurement of f(w) is flowers
The number of flower for 30 weeks means:
[tex]w = 30[/tex]
So, we have:
[tex]f(30) = 50 \times 30 + 25[/tex]
[tex]f(30) = 1525[/tex]
Hence, the number of flowers for 30 weeks is 1525
Read more about composite functions at:
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Find the area of the irregular figure. I don’t know this I need help.
Answer:
11 in.²
Step-by-step explanation:
you can divide the shape into 2 rectangles and then you solve for the 2 rectangles and then you add them up.
3. In the figure below, what is m 2 if m26 = 120°?
3\2
41
56
87
educe for classroom use.
A. 60°
B. 90°
C. 120°
D. 150°
Answer:
C. 120°
Step-by-step explanation:
[tex]m \angle \: 2 = m \angle 6 \\ (corresponding \: \angle s) \\ \\ \because \: m \angle 6 = 120 \degree \\ ...(given)\\ \\ \red{ \bold{\therefore \: m \angle 2 = 120 \degree }}[/tex]
Solve the inequality 2x + 9 > 19 - 8x
x> 1
i hope it helps you ❤️❤️❤️
Lisa and Mary buy apples and bananas at the store Lisa buys 4 pounds of apples and 3 pounds of bananas and spend $17. Mary buys 5 pounds of apples in 2 pounds of bananas and spend $16. How much does one pound of apples and one pound of bananas cost
Answer:
the bananas cost 3.00 apples cost 5.00
I have a D in math. May someone please help me with my assignment so I can bring my grade up? Thank you so much! 20 points by the way!!!
Answer:
$1125
Step-by-step explanation:
you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.
A group of 9 friends go out to dessert and spend $72.45 including tax.
which costs $8 or a fruit salad which costs $5. The tax on the bill was
ice cream sundae and how many ordered a fruit salad?
The new Super Cool Band album is $9 to download, and has 12 songs. How much does each song cost?
Answer:
$9/12=$0.75 per song
Step-by-step explanation:
9/12=0.75
Answer:
12÷$9
answer is 1.33333333333333333. 3 goes on so many times
Breanna currently has a 75 on her homework assignments. Her teacher will
give her 5 additional points for every extra credit assignment she
completes
Justin is a teacher and takes home 76 papers to grade over the weekend. He can grade at a rate of 7 papers per hour. How many papers would Justin have remaining to grade after working for 10 hours?
Answer:
7.6
Step-by-step explanation:
I know math!!!!!!!!!!
What percent of 9,000 is 36?
Answer:
your answer is 0.4
Step-by-step explanation:
you can look for persentage calculators in
Answer:
Let the percentage be x%
[tex]x\% \: of \: 9000 = 36 \\ \frac{x}{100} \times 9000 = 36 \\ 90x = 36 \\ x = \frac{36}{90} \\ \boxed{x =0. 4}[/tex]
0.4% of 9000 is 36.Ty raised $84 to support the animal shelter, which is 30% of his fundraising goal. What is Ty's fundraising goal?
simplify: 3 1/8 + 1 2/3 ÷ 2/3 × 5/12
simplify: 1 1/2 - ( 8 1/3 ÷2 1/2) ÷
1 1/5 of ( 1 1/4 ÷ 1 2/3)
simplify: 1 1/4 + 2 1/2 - 1 3/4
The value of the expression [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12 is 17.25 and value of [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex] is 2.
What is Fraction?A fraction represents a part of a whole.
The given expression is [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12
( [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex])/2/3× 5/12
(25/8+5/3)/(10/36)
(75+40/24)/(5/18)
115/24×18/5
2070/120
17.25
Now [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex]
Convert mixed fraction to improper fraction
5/4+5/2-7/4
LCM of 4, 2 is 4
(5+10-7)/4
8/4
We get 2
Hence, the value of the expression [tex]3\frac{1}{8}[/tex] + [tex]1\frac{2}{3}[/tex] ÷ 2/3 × 5/12 is 17.25 and value of [tex]1\frac{1}{4} +2\frac{1}{2} -1\frac{3}{4}[/tex] is 2.
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ATTENTION 35 points if you answer this !!!
Answer:
b
Step-by-step explanation:
i need help asap plz
Answer:
Step-by-step explanation:
The sides of a 45°-45°-90° triangle are in the ratio 1:1:√2
The side opposite the 90° angle is 12√2.
a = c = (12√2)/√2 = 12
The sides of a 30°-60°-90° are in the ratio 1:√3:2.
The length of the side opposite the 30° angle is 12 units.
d = length of side opposite 60° angle = 12√3 units
b = length of side opposite the 90° angle = 2×12 = 24 units
solve the equation 3(x+2)=5(x-2)
Answer:
3( x + 2 ). = 5( x - 2)
3x + 6 = 5x - 10
-2x = - 16
minus,minus cancel
x = 16/2
x = 8
Answer:
8
Step-by-step explanation:
3x+6=5x-10
6=2x-10
2x=16
x=8
Plz, HELP me with this question! Plz, HELP me with this question!
If the purchase price for a house is $242,934, what is the monthly payment if you put 12% down for a 30-year loan with a fixed rate of 6.7%
Answer:
I think it is $585.95.
Step-by-step explanation:
Cody broke a mile run into 12 Parts the parts he did 20 push-ups what fraction of a mile did he run in each part
Answer:
1/6th
Step-by-step explanation: