Answer:
[tex]2\frac{5}{12}[/tex]
Evaluate. Subtract 3 by 1
[tex]3 - 1 = 2[/tex]
Find the least common denominators of the fractions, multiply them by the least common denominators, then subtract.
[tex]\frac{2 * 4}{3 * 4} = \frac{8}{12}[/tex]
[tex]\frac{1 * 3}{4 * 3} = \frac{3}{12}[/tex]
Now subtract.
[tex]\frac{8}{12} - \frac{3}{12} = \frac{5}{12}[/tex]
Add the whole number you found earlier from subtracting 3 and 1 by the new fraction, 5/12
[tex]2 + \frac{5}{12} = 2\frac{5}{12}[/tex]
a trader buys 200 oranges for 60 kobo and sells them at 8 for 12 kobo.what is his gain
Answer:
he gained 188 kobo for selling 200 oranges or 192 if the trader selled the oranges for 8 kobo
Step-by-step explanation:
What will a $140,000 house cost 7 years from now if the price appreciation for homes over that period averages 7% compounded annually?
The future cost of the house will be $___
(Round to the nearest cent as needed.)
The house will cost approximately $246,359.85 seven years from now.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
In this problem,
P = $140,000
r = 0.07
n = 1 (compounded annually)
t = 7.
Plugging in these values.
A = $140,000 (1 + 0.07/1)^(1 x 7)
A = $140,000 (1.07)^7
A = $246,359.85
Therefore,
The house will cost approximately $246,359.85 seven years from now.
Learn more about compound interest here:
https://brainly.com/question/13155407
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equivalent expression for 6(a+b)
Answer:
6a + 6b
Step-by-step explanation:
Use Distributive property: a( b +c) =(a *b) +(a*c)
6(a + b) = 6*a + 6*b
= 6a+ 6b
What is the right one
Answer:
Lower Left!!
Step-by-step explanation:
Because Gina doesn't have the total price, that makes it the unknown or "?" answer, with the price before tax obviously $300.00, and the tax being 8%. Therefore, it's the lower left option.
Find the area of the rectangle with length 27 inches and width 40 inches. (1 point)
67 in. 2
134 in. 2
1,080 in. 2
10,800 in. 2
Answer:
1,080 square inches
Step-by-step explanation:
27 inches * 40 inches = 1,080 square inches
What is the volume of a right cylinder
with a radius of 14 units and a height
of 31 units?
Answer:
6076π ≈ 19088.3 cubic units
Step-by-step explanation:
The volume of a cylinder is found using the formula ...
V = πr²h
__
For the given dimensions, the volume is ...
V = π(14²)(31) = 6076π ≈ 19088.3 . . . cubic units
A bicycle store costs $2700 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $70. How many bicycles must the store sell each month to
The store must set bicycles each month to break even
Can somebody help me round 376.77 to the nearest whole. With steps (guidance)
It would totally help me with the state exam tomorrow!
Answer:
To round 376.77 to the nearest dollar consider the tenths’ value of 376.77, which is 7 and equal or more than 5. Therefore, we have to round the amount up: the dollar part of 376.77, 376, increases by 1 to 377, and the decimal point and all digits (.77) are removed.
Step-by-step explanation:
Anticipated consumer demand in a restaurant or free-range steaks next month can be modeled by a normal random variable with mean 1100 pounds and standard deviation 80 pounds. The probability is 0.015 that demand will be more than how many pounds?
1273.6
1250.53
926.4
946.8
Please guys can you help me in this please if you don’t know please don’t send for link or something for that
proportionality of triangles- setup and solve
I need help on number 9
Answer:
3. -1/3 ± 2i√5 / 3
Step-by-step explanation:
3x^2 + 2x = -7
Divide through by 3:
x^2 + 2/3 x = -7/3
Completing the square:
x^2 + 2/3 x + (1/3)^2 = -7/3 + (1/3)^2
(x + 1/3)^2 = -7/3 + 1/9
(x + 1/3)^2 = -20/9
x + 1/3 = ±√(-20) / 3
x + 1/3 = ± 2√-5/3
x = -1/3 ± 2i√5 / 3
anyone know the answer?
Answer:
31.53 cm[tex] \: [/tex]
Step-by-step explanation:
It is given that, The circumference of a circle is 198 cm and we are to find the radius of the circle.
[tex] \: [/tex]
To find the radius of the circle we must know this formula first :
[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: 2 \pi r \: =Circumference_{(circle)}}}}}}} \: \: \bigstar \\ \\ [/tex]
Now substituting the values in the formula :
[tex]\\{ \longrightarrow \qquad{ {{ \tt{ \: 2 \times 3.14 \times r \: =198}}}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ {{ \tt{ \: 6.28 \times r \: =198}}}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ {{ \tt{ r \: = \frac{198}{6.28} }}}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb {{ \frak{ r \: = 31.528 }}}}} \\ \\ [/tex]
Therefore,
The radius of the circle is 31.53 cm (Rounded to nearest hundredth)Evaluate 9x^2y^−2 for x = –3 and y = 2.
a)9(−6)^0
b)1/144
c)20 1/4
d)324
Answer:
c)20 1/4
Step-by-step explanation:
[tex]9x^{2}y^{-2}[/tex]
If We replace x by -3 and y by 2 we get :
[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}[/tex]
Or we have :
[tex]\left( -3\right)^{2} =9\ \text{and} \ \left( 2\right)^{-2} =\frac{1}{2^{2}} =\frac{1}{4}[/tex]
then
[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}=9\times9\times\frac{1}{4} = \frac{81}{4}[/tex]
on the other hand :
[tex]\frac{81}{4} =\frac{80+1}{4} =\frac{80}{4} +\frac{1}{4} =20+\frac{1}{4}=20\frac{1}{4}[/tex]
Jonas started reading books to
kindergarten students at 3:20 P.M.
He finished reading at 4:30 P.M. How
long did he spend reading to the
kindergarten students?
A 60 minutes
B 70 minutes
C 80 minutes
D 90 minutes
please help! thank you!
Step-by-step explanation:
p(p-q) - q(q-p)
p²-pq - q² +pq
p² - q²
Choice 1
PLEASE HELP
Bobby invests $2500 and wants it to grow to $5000, what interest rate will double your money in 5 years? (round to nearest tenth - one decimal space)
Answer:
14.9 %
Step-by-step explanation:
2 = double
2 = ( 1+ i)^5 i = interest in decimal 5 = years
i = .149 = 14.9 %
I'm stuck on this one! Please help
Answer:
The answer is 12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
Option B will be the best option.
455 rounded to the nearest ten
Answer:
it's 460 I think, because the last number is a five so if it's over a five you round up
How could you have simplified this problem in 2 different ways
[tex]( 7 . 3^{6} ) ^{4}[/tex]Answer:
= [tex](7^{-3--2}[/tex] x [tex]3^{-8--2} ) ^{-4}[/tex]
= [tex](7^{-1}[/tex] x [tex]3^{-6}) ^{-4}[/tex]
= [tex]( 7^{1}[/tex] x [tex]3^{6}) ^{4}[/tex]
= [tex]7^{4}[/tex] x [tex]3^{24}[/tex]
OR
= [tex](\frac{3^{-8} }{7 . 3^{-2} }) ^{-4}[/tex]
= [tex](\frac{1}{7 . 3^{6} } ) ^{-4}[/tex]
= [tex]( 7 . 3^{6} ) ^{4}[/tex]
= [tex]7^{4}[/tex] x [tex]3^{24}[/tex]
Step-by-step explanation:
Can someone help me answer this question?
Write an equation for a line that passes through points (-6, 1), (1, 4), (5, 6)
Answer:
y= .45x + 11/3
Step-by-step explanation:
Those points are not on the same line but you can get pretty close with
y= .45x + 11/3
could yall help me on this pls!!
Answer:
Step-by-step explanation:
Remark
Make a very crude diagram of what these points look like. You will find that
(-8,6) is above (-8,3) (-3,6) is above (-3,3)That gives you a hint about how to find the Length and width.
Givens
From (-8,-3) and (-3, 3) L = -8 - -3 = - 5
From (-8,6) and (-8,3) w = 6 - 3 = 3
Solution
The length cannot be minus 5. The way to get around that is to call it and absolute value of (-5) which is 5
So the area = L*W
area = 5 *3
area = 15
Answer
Area = 15
Can somebody help me with my homework, I don’t get it, and I don’t know if I am correct
On Saturday, the school band marched from the school to the stadium. After the game, the band marched back to the school. How many blocks did the band match on Saturday?
Catelyn lives halfway between the park and the school. How far does she live from each?
Answer:
first one is correct second one is 6 and third one is 2 and a half
Answer:
If one counts the blocks on the graph from the school to the stadium and back, there are three blocks one way and three blocks going back.
Altogether 6 blocks.
If Catelyn lives halfway between the park and the school, the amount of blocks is 5.
She lives halfway between. Hence, what is 5 divided by 2?
2.5 or 2 1/2 blocks.
Step-by-step explanation:
A package of 6 pencils costs $3. The cost per pencil is $.
Answer:
Each pencil costs 50 cents
Step-by-step explanation:
Step 1: Determine the price per unit
(Price of Items) / (Amount of items)
($3) / (6)
$0.5
Answer: Each pencil costs 50 cents
Use the graph of the function to find, 4-6).
Answer:
D. 3Step-by-step explanation:
f(-6) is the corresponding number of -6 and you can spot it on the y-axis
ohn drove from Miami to Atlanta, and the trip took him a total of 10 hours.
For 6 hours John’s average speed was 73 mph. His average speed on the remainder of the
trip was 67 mph. What was his average speed on the entire trip?
a) 70.8 mph
b) 70.6 mph
c) 69.4 mph
d) 68.2 mph
Answer:
b) 70.6
Step-by-step explanation:
To calculate average you need to add up all the numbers and divide by the quantity of numbers. They are calculating with mph, with ten hours, so there will be ten numbers. First you do 73 x 6 (6 because of 6 hours of 73 mph) which is 438. Then you do 67 x 4 which is 268. you add it up, then find a total of 706. Then you divide it by ten to find the answer 70.6
Please help me 50 points!!!!!
Answer:
1 trapezoid
2 triangle
3 rectangle
The difference 11/14 - 2/10
Answer:
11/14-2/10=41/70=0.58
What is the radius of a circle that has a circumference of 3.14 meters?
circumference= 3.14m
to find:the radius of the circle
solution:Circumference of a circle = 2πr
Given, circumference = 3.14 meters
Therefore:
2πr = Circumference of a circle
2πr = 3.14
2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14]
6.28r = 3.14
r = 3.14/6.28
r = 0.5
Vectors U and V are shown on the graph (The graph with letters U and V)
Which of the following vectors represents u-v
Answer:
see attached
Step-by-step explanation:
The vector difference u -v can be represented on a vector diagram by the sum u +(-v), where -v is a vector the same length as v, but in the opposite direction.
__
This sum is shown in the attachment.