Answer:
$750 per year
Step-by-step explanation:
The farmer saves $250 in four months. You need to find out how much he makes in a year. There are 12 months in a year. Multiply the amount he saves by 3.
$250 × 3 = $750
The farmer saves $750 per year.
Please solve, m +5=-m-2-5m+7?
Answer:
[tex]\Huge \boxed{m=0}[/tex]
Step-by-step explanation:
[tex]m +5=-m-2-5m+7[/tex]
Adding m and 5m to both sides of the equation.
[tex]m +5+m+5m= -m-2-5m+7+m+5m[/tex]
Subtracting 5 from both sides of the equation.
[tex]m +5+m+5m-5=-2+7-5[/tex]
Combining like terms and simplifying.
[tex]7m=0[/tex]
Dividing both sides of the equation by 7.
[tex]m=0[/tex]
Answer:
m = 0
Step-by-step explanation:
m + 5 = - m - 2 -5m + 7
m + 5 = -m - 5m - 2 + 7
m + 5 = -6m + 5 (combine like terms)
m = 0
Which of the following choices will simplify
(2+6)/4
+ 12 x 3 + 1
A. 39
B. 40
C. 43
D. None of these choices are correct.
Answer:
A. 39
Step-by-step explanation:
( 2 + 6 ) / 4 + 12 × 3 + 1
first solve the bracket .
8 / 4 + 12 × 3 + 1
then do the division or multiplication.
2 + 36 + 1
finally do the addition or subtraction.
39
The order
{
1. B - Bracket
2. O - Or
3. D - Division
M - Multiplication
4. A - Addition
S - Subtraction }
For the function f(x)=6x^2-2x+1, evaluate and fully simplify each of the following:
(Look at picture)
Answer to the 1st part: [tex]6x^2+12xh+6h^2-2x-2h+1[/tex]
Answer to the 2nd part: [tex]12x+6h-2[/tex]
==============================================
Work Shown:
Replace every x with (x+h). Expand and simplify
[tex]f(x) = 6x^2-2x+1\\\\f(x+h) = 6(x+h)^2-2(x+h)+1\\\\f(x+h) = 6(x^2+2xh+h^2)-2(x+h)+1\\\\f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\[/tex]
----------------------------
Subtract off f(x), then divide everything over h. Simplify.
[tex]f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-(6x^2-2x+1)\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-6x^2+2x-1\\\\f(x+h)-f(x) = 12xh+6h^2-2h\\\\\frac{f(x+h)-f(x)}{h} = \frac{12xh+6h^2-2h}{h}\\\\\frac{f(x+h)-f(x)}{h} = \frac{h(12x+6h-2)}{h}\\\\\frac{f(x+h)-f(x)}{h} = 12x+6h-2\\\\[/tex]
The value of Function, [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]
And, The value of [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].
Here, the function is given as,
[tex]f (x) = 6x^{2} -2x + 1[/tex]
What is function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
Now,
Replace every x with (x + h) and expand it,
[tex]f (x) = 6x^{2} -2x + 1\\f (x+h) = 6(x+h)^{2} -2(x+h) + 1\\f (x+h) = 6 (x^{2} +h^{2} + 2xh) - 2x -2h +1\\f (x+h) = 6x^{2} +6h^{2} +12xh -2x-2h+1\\[/tex]
And,
[tex]f (x+h) - f(x) = ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\\frac{f (x+h) -f (x)}{h} =\frac{ ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\}{h} \\\frac{f (x+h) -f (x)}{h} =\frac{ 6x^{2} +6h^{2} +12xh -2x-2h+1 -6x^{2} +2x-1\\}{h} \\\\\frac{f (x+h) -f (x)}{h} =\frac{12xh +6h^{2}-2h }{h} \\\frac{f (x+h) -f (x)}{h} = 12x + 6h -2[/tex]
Hence,
The value of function [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]
And, The value of [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].
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What are the major arcs of o0 that contain point B?
Answer:
see below
Step-by-step explanation:
The four major arcs that include B will be the remainder of the circle after each minor arc is excluded.
Excluding minor arc AB, we have major arc BCA.
Excluding minor arc BC, we have major arc CDB.
Excluding minor arc CD, we have major arc DAC.
Excluding minor arc DA, we have major arc ABD.
A fountain was marked up 170% from an original cost of $1000. Last Friday ,Bernie bought the fountain and paid and additional 13% in sales tax.what was his total cost?
Answer:
$ 3051
Step-by-step explanation:
Original cost = $ 1000
Marked up Price = Original cost + 170% of 1000
= 1000 + 1.7 * 1000
= 1000 + 1700
= $ 2700
Sales tax = 13% of 2700
= 0.13 * 2700
= 351
Total cost paid by Bernie = 2700 + 351 = $ 3051
Simplify the answer -12 ÷ 3 × (-8 + (-4)² - 6) + 2 I need the steps for the equation on how to solve it.
Answer:
-6
Step-by-step explanation:
We use PEMDAS to solve this,
so P stands for parentheses, so that's where we start.
We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses
-12/3*(-8+16-6)+2
-12/3*(2)+2
Now we divide as in Division in PEMDAS.
-4*2+2
Now we multiply as in Multiplication in PEMDAS.
-8+2
Now we add as in A for Addition
-6
In PEMDAS, Multiplication doesn't always come before division, and same for addition and subtraction.
The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find number of girls.
Answer:
[tex]x = 10[/tex]. In other words, there number of girls is [tex]10[/tex].
Step-by-step explanation:
The average of a number of measurements is equal to the sum of these measurements over the number of measurements.
[tex]\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}[/tex].
Rewrite to obtain:
[tex]\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}[/tex].
For this question:
[tex]\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}[/tex].
[tex]\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}[/tex].
On the other hand, there are [tex](15 + x)[/tex] boys and girls in total. Using the formula for average:
[tex]\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}[/tex].
From the question, this average should be equal to [tex]123[/tex]. In other words:
[tex]\displaystyle \frac{1875 + 120\, x}{15 + x} = 123[/tex].
Solve this equation for [tex]x[/tex] to obtain:
[tex]1875 + 120\, x= 123\, (15 + x)[/tex].
[tex](123 - 120)\, x = 1875 - 123 \times 15[/tex].
[tex]x = 10[/tex].
In other words, the number of girls here is [tex]10[/tex].
! 25 points ! a) 68 is what percent of 80? b) 88.83 is 423% of what? c) 36.8% of what number is 28.52? d) What number is 95% of 40? Thankyou!
Step-by-step explanation:
Let the number to be found be x
a).68 is what percent of 80 is written as
[tex] \frac{x}{100} \times 80 = 68[/tex]
Multiply both sides by 100
We have
80x = 6800
Divide both sides by 80
we have the answer as
x = 85
Therefore the percentage is 85%b).Let the number be x
88.83 is 423% of what is written as
[tex] \frac{423}{100} x = 88.83[/tex]
Multiply through by 100
We have
423x = 8883
Divide both sides by 423
We have the answer as
x = 21
The number is 21c).Let the number be x
36.8% of what number is 28.52 is written as
[tex] \frac{36.8}{100} x = 28.52[/tex]
Multiply through 100
We have
36.8x = 2852
Divide both sides by 36.8
We have the answer as
x = 77.5
The number is 77.5d).What number is 95% of 40 is written as
[tex] \frac{95}{100} \times 40[/tex]
We have the final answer as
38Hope this helps you
Las edades de dos hermanos tienen una razón de 2 a 1. Cuando transcurran 4 años, la razón entre sus edades será de 8 a 6. ¿Cuántos años tienen actualmente?
Answer:
The age of brothers are 4 years and 2 years respectively.
Step-by-step explanation:
We are given that the ages of two brothers have a ratio of 2 to 1. When 4 years have passed, the ratio of their ages will be 8 to 6.
Let the age of the first brother be 'x years' and the age of the second brother be 'y years'.
So, according to the question;
The first condition states that the ages of two brothers have a ratio of 2 to 1, that means;[tex]\frac{x}{y} =\frac{2}{1}[/tex]
[tex]x=2y[/tex] -------------- [equation 1]
The second condition states that when 4 years have passed, the ratio of their ages will be 8 to 6, that means;[tex]\frac{x+4}{y+4}=\frac{8}{6}[/tex]
[tex]6({x+4})=8}(y+4)[/tex]
[tex]6x+24=8y+32[/tex]
[tex]6(2y)+24=8y+32[/tex]
[tex]12y-8y=32-24[/tex]
[tex]4y=8[/tex]
[tex]y=\frac{8}{4}[/tex] = 2 years
Putting the value of y in equation 1 we get;
x = 2y
x = [tex]2 \times 2[/tex] = 4 years
Hence, the age of brothers are 4 years and 2 years respectively.
HELP!!!!
Two airplanes leave the airport. Plane A departs at a 44' angle from the runway, and plane B departs at a 40' from the runway Which plane was farther away from
the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth
Plane A because it was 8.64 miles away
Plane A because it was 8.34 miles away
Plane B because it was 7.83 miles away
Plane B because it was 9.33 miles away
Question 4 Multiple Choice Worth 1 points)
(05.02 MC)
A triangle was dilated by a scale factor of 4. If tan a' =
and FD measures 12 units, how long is EF?
Question 3 (Not Answered). Om
Ned Question
Previous Question
Answer:
Step-by-step explanation:
Using the sine rule
Airplane A has
6 / sin 44 =
6 / 0.6947 =
8.64
Airplane B has.
6 / sin 40 =
6 / 0.6428 =
9.33
therefore, the answer is airplane B, because it was 9.33 miles away
Without actually multiplying, how can you tell if the product of two numbers will be negative?
Answer:
There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative.
Step-by-step explanation:
I'm confused on simplifying radicals.
Answer: 4 or [tex]\sqrt{4 * 4}[/tex]
To find the square root of a number, remember that there will be two factors that are the same that will give you the product.
Lets start from 1:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
As you can see, 4 x 4 is 16. To make sure I'm correct, remember that a square roots consists two identical factors.
4 and 4 are the same numbers.
Therefore, [tex]\sqrt{16}[/tex] = 4
It can also be written as [tex]\sqrt{4 * 4}[/tex]
Answer:
the answer is 4
Step-by-step explanation:
I use a calulator but if you dont have one then the way to do square roots is find a number say 4 and put it to the 2 power and it equaks 16 (4^2)=16. I cant really explain much more
What is the constant of proportionality (unit rate) for the following equation:a = 156 · n
Answer:
156
Step-by-step explanation:
n times the constant of proportionality = a
so n will always 156 times greater
The number that is 40% more than five more than a number a.
Answer:
7
Step-by-step explanation:
5×0.4 = 2
2 + 5 = 7
The number a would be 7 which is 40% more than five more than a number a.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given the number that is 40% more than five more than a number a.
We need to find the unknown number a.
So, 40 % = 0.4
Let find the first part that is; "the number that is 40% more than five"
5 × 0.4 = 2
Now, five more than a number a.
2 + 5 = a
a = 7
Therefore, the number a would be 7 which is 40% more than five more than a number a.
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A person who sold an article at a profit of 20% if he sold it for RS 81 less his loss would have been 12% . Find it's cost price .
Answer:
Rs 253.13
Step-by-step explanation:
The item cost him x.
Selling at a profit of 20% means he sold it for 1.2x.
Selling at a loss of 12% means that he sold it for 0.88x.
1.2x - 81 = 0.88x
1.2x - 0.88x = 81
0.32x = 81
x = 253.13
Find the volume of a box with a height that is 4 inches less than the
length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism:V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)
Answer:
Volume of a rectangular prism = x^3 - 4x^2
Step-by-step explanation:
V = L*W*H
Where,
V= Volume of a rectangular prism
L= Length
W= Width
H= height
Volume of a rectangular prism= Length × Width × Height
Let
length of the box = x
width = length
Width = x
Height= x - 4
Volume of a rectangular prism= Length × Width × Height
= x * x * (x - 4)
= x^2 * (x - 4)
= x^3 - 4x^2
Volume of a rectangular prism = x^3 - 4x^2
HeLLLPPP PLEASE IM BEGGING YOU
Answer:
4.625
Step-by-step explanation:
5/8 = 0.625
To find 5/8, simply divide it.
So 4 and 5/8
= 4.625
(4x + 2y]³ -(4x-2y)³
Answer:
answer is attached
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5 respectively . Taking the Initial cost of the electrical gadget to be GHÇp Calculate the value of p and q
Answer:
P=25 q= -31
Step-by-step explanati
The value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5.
Make p the subject
p = 8q/6 ........equation 1
The year the price was reduced by 4
p - 4/q - 4 = 7/5
Cross multiplication;
5(p-4) = 7(q-4)
5p-20 = 7q-28
5p - 7q = -8 .......equation 2
Subtract 8q/6 for p in equation 1
5(8q/6) - 7q = -8
Multiply through by 6
40q - 42q = -48
-2q = -48
q = 24
Subtract 24 for q in equation 1
p = 8(24)/6
p = 192/6
p = 32
Therefore, the value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
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which of the following is the product for (x+4)(x-2)?
A. x^+ 2+2x-8
B. x^-2x-8
C. x-2
D. 2x^2+4x-8
Answer:
A
Step-by-step explanation:
X times x is x squared then x times - 2 is - 2x but 4 times x is 4x. So 4x plus - 2x is 2x. Then 4 times - 2 is - 8 put that all together you'll get x^+ 2+2x-8
Tavon has a $50 gift card that’s very loses $2 for each 30-day period it is not used. He has a $40 card that’s loses $1.50 for each 30-day period it is not used.
Answer:
Hello, thank you for your word problem. However, your word problem doesn't have a question to it. Please double check your answer. Thank you!
Step-by-step explanation:
To solve the equation from the previous screen, subtract
4 from each side.
x + 4 = -1
-4 -4.
What would the next step say? Enter it below.
PLEASE HELPP
100 50 points
Answer:
x = -5
Step-by-step explanation:
x + 4 = -1 (subtract -4 on each side)
(x + 4) + (-4) = -1 + (-4)
therefore,
x = -5
(-3)^5 x (-3)^2 in single power
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}= a^{m+n}\\\\\\(-3)^{5}*(-3)^{2}=(-3)^{5+2}=(-3)^{7}[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{(-3)^7}}[/tex]
Step-by-step explanation:
[tex](-3)^5 \times (-3)^2[/tex]
When bases are same for exponents in multiplication, the exponents are added.
[tex]a^b \times a^c=a^{b+c}[/tex]
[tex](-3)^{5+2}[/tex]
Add the exponents.
[tex](-3)^7[/tex]
In the figure the solid path indicates the usual path of a taxi cab. Unfortunately there was construction and the taxi cab had to take the dotted route. If each tick mark represents one mile, how much longer was the detour than the regular route
Answer:
A) 2 miles
Step-by-step explanation:
2) In the figure the solid path indicates the usual path of a taxi cab. Unfortunately, there was construction and the taxi cab had to take the dotted route. If each tick mark represents one mile, how much longer was the detour than the regular route?
A) 2 miles
B) 3 miles
C) 5 miles
D) 11 miles
The sum of all the integers from 1000 and 10000 inclusive is y. Which expression represents the sum of all integer from 1003 to 10000 included?
Answer:
Step-by-step explanation:
What's missing from the original condition.
1000
1001
1002
=====
3003
So the answer is y - 3003
Pls help! 50 POINTS!
Answer:
See below.
Step-by-step explanation:
1)
So we have the equation:
[tex]2x+3y=1470[/tex]
To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:
[tex](2x+3y)-2x=(1470)-2x[/tex]
The left side cancels:
[tex]3y=1470-2x[/tex]
Now, divide both sides by 3. The left side cancels:
[tex](3y)/3=(-2x+1470)/3\\y=-\frac{2}{3} x+490[/tex]
The slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Thus, the slope is -2/3 and the y-intercept is 490.
2)
So, since we already know the y-intercept is 490, plot a point at (0,490).
The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move down 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.
3)
To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.
[tex]y=-\frac{2}{3}x+490\\ f(x)=-\frac{2}{3}x+490[/tex]
This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.
For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.
4)
Please refer to the attached graph.
5)
First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.
Answer:
Hey mate,these answers has been excluded from the NCERT syllabus.
Thank you
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
Convert the following decimal to a fraction. Be sure to simplify your fraction, .19 repeated
Answer:
0.19 = 19/100
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
0.19=0.191
Multiply to remove 2 decimal placesy 102 = 100
0.19/1 × 100/100 = 19100
Conclusion
0.19=19100
Ill love u forever if u answer correct Point F is reflected over the y-axis to create F’. Use an ordered pair to name the location of F’, and determine the distance between F and F’.
Answer:
F' = (-6,3)
Distance = 12 units
Step-by-step explanation:
F is currently at (6,3).
Reflected over the y-axis, it would be at (-6,3).
That puts them 12 units apart.
Five more than three times a number q in algebraic expression
Answer:
3q + 5
Step-by-step explanation:
Three times a number q is 3q, and 5 more than that is 3q + 5.
x+1=1
what's x anwser?
Explain step by step
Answer:
[tex]\huge\boxed{x=0}[/tex]
Step-by-step explanation:
[tex]x+1=1\\\\x+1-1=1-1\\\\\boxed{x=0}[/tex]