If three quarters of a number decreased by twenty is equal to eighty two, what is that number?
A number is :
[tex]x[/tex]
_________________________________
Three quarters of it means :
[tex] \frac{3}{4}x \\ [/tex]
_________________________________
Decrease by 20 means :
[tex] \frac{3}{4}x - 20 \\ [/tex]
_________________________________
Equals to 82 means :
[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]
_________________________________
What is that number ?
x asked so we must solve the above equation for x.
Let's do it....
[tex] \frac{3}{4}x - 20 = 82 \\ [/tex]
Plus sides 20
[tex] \frac{3}{4}x = 82 + 20 \\ [/tex]
[tex] \frac{3}{4}x = 102 \\ [/tex]
Multiply sides by 4
[tex]3x = 102 \times 4[/tex]
Divided sides by 3
[tex]x = \frac{102 \times 4}{3} \\ [/tex]
[tex]x = \frac{102}{3} \times 4 \\ [/tex]
Simplify
[tex]x = 34 \times 4[/tex]
[tex]x = 136[/tex]
So that number is 136 .
_________________________________
And we're done.
Thanks for watching buddy good luck.
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Which of the following equations represents a line with a positive slope and a negative y-intercept?
HELP PLEASE!!!!!!!
The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2
What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
The y-intercept is the value in the equation without the x and the slope is the value in the equation with the x, it would respond to y = 7.5 - 2
Therefore, the correct answer is option C) y= 7.5x-2.
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Find f(-1) if f(x)=3x^3 + 5x^2
Answer:
2
Step-by-step explanation:
f(x) = 3x^3 + 5x^2
f(-1)
so just substitute in the value -1 for x, and solve
f(-1) = 3(-1)^3 + 5(-1)^2
= 3 * -1 + 5 *1
= -3 + 5
= 2
Rebecca earns $4250 per month, of which 24% is taken out of her paycheck for federal and state income taxes and other required deductions. Last month she spent $975 fir rent and $317 for food. What percent of her take-home pay did she spend on rent and rood combined?
The answer is 3,162
I got it by adding what I got from when I subtracted and then I added up all the things here's the work 1870+975+317=3,162
Answer:
40%
Step-by-step explanation:
subctract taxes by multiplying the total earnings by the tax rate (.24) leaving rebecca with $3230. then divide her food/rent costs by what she has left (3230)
=0.4 ; 40%
WILL GIVE BRAINLIEST: If a = 6 and b =2, then what does a^8 equal?
Answer:
1679616
Step-by-step explanation
Marco has a collection of 437 bottles. Each month he buys 32 more bottles Write an algebraic expression to represent the number of bottles he has after n months
Answer:
x = 32n + 437............
Convert DAD base16 to binary
Answer:
D = 01000100
A = 01100001
D = 01000100
B = 01000010
A = 01100001
S = 01110011
E = 01100101
1 = 00110001
6 = 00110110
PLEASE HELP IM BEING TIMED!
Identify all that is true about the diagram below. Only 3 options are correct.
Options: A.
B.
C.
D.
Answer:
C is incorrect. "Angle BOC is a right angle"
Step-by-step explanation:
Because it's an acute angle.
Please can someone help!
Answer:
Charles: 17 points
Adam: 25 points
Bethany: 30 points
Answer:
Adam scored 25 points.
Bethany scored 30 points.
Charles scored 17 points.
Step-by-step explanation:
A = Adam, B = Bethany, C = Charles
What we know:
C + 8 = A
A + 5 = B
A + B + C = 72
Charles:
C + 8 + 5 = B
C + (C + 8) + (C + 13) = 72
72 - 8 - 13 = 51
51/3 = 17
Charles scored 17 points.
Bethany:
17 + 13 = 30
Bethany scored 30 points.
Adam:
17 + 8 = 25
Adam scored 25 points.
What is the zero of this linear function?
f(x) = 4x
pls help I'm so lost ill give brainliest if I can
Answer:
y(0) = 0
x(0) = 0
Step-by-step explanation:
This equation goes through the origin
Find the value of x for which p || q.
Answer:
x = 9
Step-by-step explanation:
For the lines to be parallel, then
9x + 8 and 15x - 46 are alternate angles and congruent, thus
15x - 46 = 9x + 8 ( subtract 9x from both sides )
6x - 46 = 8 ( add 46 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9
Answer:
The process is ; We can do by ; The two angles are alternate angles ( Z) . So, ( 9x+8) = ( 15x-46). OR, 9x+8=Step-by-step explanation:
15x-46 8+46=15x-9x or, 54=6x or, 54/6=× THEREFORE, x = 9
Veronica bought a shirt and a sweater for a total price of $65. The price of the sweater was $2 more than twice the price of
the shirt. What was the price of the shirt?
Answer: 32.5
Step-by-step explanation: you divide it.
explain how to evaluate an algebraic expression?
Answer:
to solve, really, you just combine like terms and follow the formula
Step-by-step explanation:
for example:
y2-y1=m(x-x1)
y-3=4(x-5)
y-3=4x-20
y=4x-23
a photo collage consists of seven equal sized square photo arranged in a row to form a rectangle if the total area of the college is 567 square inches what is the length of the collage
Answer:
Step-by-step explanation:
I have attached a written explanation to help :).
Let's say each side of the square =[tex]x[/tex]
If we put 7 squares in a row to make the rectangle,
length of the rectangle = [tex]7x[/tex]
Area of a rectangle = length multiplied by width
Area of rectangle = [tex]7x[/tex] multiplied by [tex]x[/tex] = [tex]7x^2[/tex]
We are also told that the total area = 567
So [tex]7x^2 = 567[/tex]
Now solve for [tex]x[/tex].
Divide both sides by 7.
[tex]\frac{7x^2}{7} = \frac{567}{7}[/tex]
[tex]x^2 = 81[/tex]
Then square root both sides to find [tex]x[/tex]
[tex]x = \sqrt{81}[/tex] = 9
Finally, the question asks to find the length of the collage which we said was [tex]7x[/tex] and we know [tex]x = 9[/tex]
Length of collage = [tex]7x = 7[/tex] multiplied by [tex]9[/tex] = ?
a bicycle that usually sells for $230 is on sale for 25% off. find the sale price.
Answer:
$172.50
Step-by-step explanation:
Simply do 230 x 0.75 which is the percent subtracted by 25 that decreases a value and makes it less
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!
The elevation we call sea level is actually the average level of the sea. This means that at average sea level, the elevation is zero. In reality, the level of the sea rises and falls in what are called tides. Low tide is the point of lowest sea level in a tidal period. High tide is the point of highest sea level in a tidal period. The height above or below average sea level is called elevation. An elevation below sea level is considered a negative value, while an elevation above sea level is positive.
Winston lives near the ocean. He regularly brings an altimeter to the beach to measure the elevation of the ocean’s surface. You will use the data Winston gathered to complete tasks about the rising and falling of the ocean’s surface. When necessary, sketch a diagram of the situation on a separate sheet of paper to assist you.
On Monday at 1 p.m., when the ocean’s surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean’s surface. At 7 p.m. when the ocean’s surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean’s surface.
What was the distance between the deck and the ocean’s surface at 1 p.m.? Which was higher, the deck or the ocean?
What was the distance between the surf shop and the ocean’s surface at 7 p.m.? Which was higher, the surf shop or the ocean?
Answer:
The surf shop was higher and the distance would be 12.8 feet above the oceans surface.
Step-by-step explanation:
Can someone tell me the Term, variable, exponet, power and coefficient
I would appreciate it a lot
evaluate
f(12)=3/2x+14
f(-4)=3/2x+14
f(0)=3/2x+14
When f(x) is substituted with a number, you just plug the number into wherever you see x:
_____________
f(12) = 3/2x + 14
f(12) = 3/2(12) + 14
f(12) = 18 + 14
f(12) = 32
f(-4) = 3/2x + 14
f(-4) = 3/2(-4) + 14
f(-4) = -6 + 14
f(-4) = 8
f(0) = 3/2(0) + 14
f(0) = 0 + 14
f(0) = 14
Summarize the two different ways an exponential
equation can be solved.
Answer:123
Step-by-step explanation:123
What is 1/5 as a percentage and decimal?
Answer:
1/5 as a percentage:
1/5*100
1/1*20
20/1
20%
1/5 as decimal:
(JUST SIMPLY DIVIDE 1/5)
0.2
Answer:
20% and 0.20
Step-by-step explanation:
Let's say 5/5 = 100, so then in order to convert 1/5 into a percentage, all you have to do is divide 100 by 5, and that will be your percentage:
100 / 5 = 20
So, 1/5 = 20%
Now, as a decimal its basically the same thing, but instead of thinking of it as 100, you think of it as 1.00, and then your decimal form of 1/5 will be 0.20
Hope this helps :)
helppp me pleaseeeee
Answer:
connor: Initial value is 200ft/ rate of change is 10
pilar: rate of change is -8/ initial value is 242
Step-by-step explanation:
so to figure out the initial value in a word problem, you need to see what it began or started with first and in the table to figure out the initial value, you need to see if there's a zero in the input and under the zero, the number in the output that's under 0 is the initial value. to find the rate of change in a word problem, if it says per, each, then it's the rate of change, Also to find the rate of change in a table you need to use this formula y²- y¹/x²-x¹ for example 234-242/1-0= -8/1 which is -8 for the slope. I hope my explanation helped. sorry if it's not clear
Which of the following quantities are inversely proportional? WILL GIVE BRAINIEST
a
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
Answer:
option 1
option 3
option 4
Step-by-step explanation:
Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.
option 1:
Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.
option 2:
The time spend in plowing a field with a tractor with increase when we area using more fuel.So more fuel used means more time spent. So these are directly proportional, Not inverse.
option 3:
Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.
option 4:
If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.
PLEASE MARK ME AS BRAINLIEST!!
The zoo charges an entry fee of $12.50 plus $5.00 per animal show ticket. Let t represent the number of animal show tickets purchased and c represent the total cost of the entry fee and animal show tickets. Write an equation to calculate the total cost for a person who pays the entry fee and purchases t tickets.
Answer:
c=5t+12.50, it cost 17.50 for one person
Step-by-step explanation:
5$ per person
and 12.50 added
c= total cost
G(3b)=3(3b)+2
PLEASE SOLVE ASAP BUT CORRECT IN ITS NOT YOU WILL BE REMOVED!!!!!
Answer:
G(x) = 3x +2
Step-by-step explanation:
I do not know what the problem is asking for, but if it's asking for the function, here you go.
Answer:
shbdhsjdcjsvdbssegehehhehehejrjehe
Find the value of x. Round the length to the nearest tenth.
Answer:
9.230095943 or 9.2
Step-by-step explanation:
Trigonometry: sine, cosine, tang: Sohcahtoa
O: opposite(side from angle)
H: hypotenuse(side opposite from 90*)
A: Adgacent(side from angle)
Use scientific calculator: tang(40*) x 11 = 9.230095943
For the function y = f(x) = 3x -5
What is the y intersection
Answer:
The y-intercept is -5.
Step-by-step explanation:
In algebra, "y=" and "f(x)=" is basically the same thing. You don't have to write them both. Also, [tex]y=3x-5[/tex] is in slope-intercept form, which is: [tex]y=mx+b[/tex], where [tex]b[/tex] is the y-intercept. That means "-5" is the y-intercept.
In terms of the cosecant of a positive acute angle, what is the expression for csc 240°?
Answer:
- csc60°
Step-by-step explanation:
240° is in the third quadrant where csc < 0 , thus
csc240° = - csc(240 - 180)° = - csc60°
The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
What is the value of cosec (180°+α)?The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.
So, cosec 240° = cosec (180°+60°)
cosec (180°+α) = -cosec α
So, cosec (180°+60°) = -cosec 60°
Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
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Lauren is making muffins. Her muffin recipe calls for 3 1 4 cups of flour. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.
Answer:
15.14 cups is the answer, just do 5*3 then put the 14 into place it should be the answer
Kim surveyed 80 students at her school and found that 0.65 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science?
Plz Help me I don't understand-ish
Answer:
22%
Step-by-step explanation:
Answer:40
Step-by-step explanation:0.65 to percent
0.65x100=65%
which is 65/100x80=52 students choose mat
and 15/100x80=12 students choose science
so 40 more students choose math over science
y/5-2=-7 what is the solution of the equation.
Answer: mg they left u hanging for some time here hol up,
y=−25
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y/5-2-(-7)=0
y/5
(y/5 - 2) - -7 = 0
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2 = 2/1=2.5/5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
y - (2.5/5 5)=y - 10
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
y+25
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
y+25 = 0
4.2 Solve : y+25 = 0
Subtract 25 from both sides of the equation :
y = -25