Answer:
0,-9,-5
Step-by-step explanation:
How to solve 4-7x=1-6x
Hope it helps u.......
Kedwin has $150.00 and wants to buy a new pair of headphones that cost $175.00 plus 10% shipping. He decides to wait until the headphones go on sale. What is the smallest sale rate that he needs to be able to afford them?
Answer:
I believe its 20% thats counting the 10% shipping cost
Step-by-step explanation:
Final answer:
Kedwin needs a minimum sale rate of approximately 24.29% in order to afford the headphones.
Explanation:
To calculate the minimum sale rate that Kedwin needs to be able to afford the headphones, we first need to calculate the total cost of the headphones including shipping. The headphones cost $175.00 and the shipping is 10% of the cost, which is $17.50. So the total cost is $175.00 + $17.50 = $192.50.
Next, we subtract Kedwin's current funds, $150.00, from the total cost, $192.50, to find the amount he still needs, which is $192.50 - $150.00 = $42.50.
Finally, we divide the amount he still needs by the original cost of the headphones and multiply by 100 to find the minimum sale rate. In this case, the calculation is ($42.50 / $175.00) * 100 = 24.29%. Therefore, Kedwin needs a minimum sale rate of approximately 24.29% in order to afford the headphones.
Find the sum.
7x + 15x=
Answer:
7x + 15x= 21x
Step-by-step explanation:
7x + 15x
= (7 + 15)x
= 22x
Answer: 22x
Step-by-step explanation: +7x and +15x are called terms and the numbers in front of the variables, +7 and +15 are called coefficients.
Because the variables, x and x, are identical, the two terms in this problem are called like terms. Like terms can be added together by simply adding their coefficients. So in this problem, since 7 + 15 is 22, 7x + 15x is simply 22x.
16 equals m-14 what is the value of m
Answer:
16=m-14
To find the value of m you want to add 14 to each side
30=m
Step-by-step explanation:
Solve for y.
K=4yz
????
Answer:
y=K/4z
Step-by-step explanation:
K=4yz
y=K/4z
Answer:
Step-by-step explanation:
If f(x) = 4x - 3, what is f(x)^-1
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 4x - 3 ( add 3 to both sides )
y + 3 = 4x ( divide both sides by 4 )
[tex]\frac{y+3}{4}[/tex] = x
Change y back into terms of x
[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]
-6y+13+9y=8y-3−6y+13+9y=8y−3
Answer:
y=3/8
Step-by-step explanation:
-6y+13+9y=3y+13
3y+13=8y-3-6y+13+9y
3y+13=2y+9y-3+13
3y+13=11y+10
13=11y-3y+10
13=8y+10
8y=13-10
8y=3
y=3/8
The school band sold cupcakes to raise money for new uniforms. Each of the 40 band members baked cupcakes to sell. They either baked chocolate or vanilla cupcakes.
Each student baked 24 cupcakes.
Each cupcake was sold for $2.
All of the cupcakes were sold.
A total of $1,200 was earned from the vanilla cupcakes.
How much did the band earn from the chocolate cupcakes?
Answer:
$720
Step-by-step explanation:
$1,200 divided by 2 (600) equals how many vanilla cupcakes there were.
40 people times 24 cupcakes each person (960) equals how many total cupcakes there were.
The total amount of cupcakes minus the amount of vanilla cupcakes equals the amount of chocolate cupcakes (960-600=360).
360 chocolate cupcakes times the amount each cupcake was sold for equals the amount of money raised from the chocolate cupcakes (360x2=720).
3x + 4y = 14 x = 2y - 12 cordanit plane
Answer:
(- 2, 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 14 → (1)
x = 2y - 12 → (2)
Substitute x = 2y - 12 into (1)
3(2y - 12) + 4y = 14 ← distribute and simplify left side
6y - 36 + 4y = 14
10y - 36 = 14 ( add 36 to both sides )
10y = 50 ( divide both sides by 10 )
y = 5
Substitute y = 5 into (2) for corresponding value of x
x = 2(5) - 12 = 10 - 12 = - 2
Solution is (- 2, 5 )
To find the point that satisfies both equations, substitute the value of x from the second equation into the first equation and solve for y. Then substitute the value of y into the second equation to find x. The point (-2, 5) satisfies both equations.
To find the point that satisfies both equations, we need to solve the system of equations:
3x + 4y = 14
x = 2y - 12
Substituting the value of x from the second equation into the first equation, we get:
3(2y - 12) + 4y = 14
6y - 36 + 4y = 14
10y = 50
y = 5
Substituting the value of y into the second equation, we get:
x = 2(5) - 12
x = 10 - 12
x = -2
Therefore, the point (-2, 5) satisfies both equations.
complete question given below:
3x+4y=14
x=2y-12
which point satisfies both equation
Cell phones can weigh as little as 56 grams. How many kilograms can the cell phone weigh
A cell phone weighing 56 grams can be converted to kilograms by dividing by 1,000, resulting in a weight of 0.056 kilograms.
Explanation:To convert the weight of a cell phone from grams to kilograms, one must utilize the metric system's conversion rate where 1 kilogram is equal to 1,000 grams.
Therefore, if a cell phone weighs 56 grams, to find the weight in kilograms, you would divide 56 by 1,000.
56 grams ÷ 1,000 = 0.056 kilograms.
Hence, the cell phone can weigh 0.056 kilograms.
It is important to note that in the metric system, expressing units in the most manageable form is advisable.
In this case, kilograms provide a more easily managed number for larger weights, whereas grams are suitable for smaller weights.
20 POINTS BRAINLIEST
First solving for log5(92):
log5(92) = log(92) / log(5) = 2.8095 = 2.810
Now to change to base 3:
log3(x) = log5(92)
Solve for x:
x = 3^(log5(92)
x = 3^2.810
x = 21.903
The answer would be the first one.
Answer:
I got A
Hope this helps
Step-by-step explanation:
Should perimeter or area be used to find the amount of fencing for a paddock?
A eagle has landed in a tree 50 feet above sea level. Directly below the eagle, a seagull is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. Select all the true statements. Consider using the number line to show your work.
the true statements are:
- B. The difference in height between the pelican and the heron is 33 feet.
- C. The distance between the heights of the pelican and heron is 33 feet.
- E. The difference in height between the pelican and the trout is 40 feet.
- F. The distance between the heights of the pelican and the trout is 40 feet.
Let's calculate the differences and distances between the heights of the given objects.
Given heights:
- Heron: 50 feet above sea level
- Pelican: 17 feet above sea level
- Trout: 23 feet below sea level
Now, let's calculate the differences and distances:
A. The difference in height between the pelican and the heron is:
[tex]\[ \text{Difference} = \text{Height of pelican} - \text{Height of heron} \][/tex]
[tex]\[ \text{Difference} = 17 - 50 \][/tex]
[tex]\[ \text{Difference} = -33 \][/tex]
B. The difference in height between the pelican and the heron is:
[tex]\[ \text{Difference} = \text{Height of heron} - \text{Height of pelican} \][/tex]
[tex]\[ \text{Difference} = 50 - 17 \][/tex]
[tex]\[ \text{Difference} = 33 \][/tex]
C. The distance between the heights of the pelican and heron is the absolute value of their difference:
[tex]\[ \text{Distance} = |\text{Difference}| \][/tex]
[tex]\[ \text{Distance} = |-33| \][/tex]
[tex]\[ \text{Distance} = 33 \][/tex]
D. The difference in height between the pelican and the trout is:
[tex]\[ \text{Difference} = \text{Height of pelican} - \text{Height of trout} \][/tex]
[tex]\[ \text{Difference} = 17 - (-23) \][/tex]
[tex]\[ \text{Difference} = 17 + 23 \][/tex]
[tex]\[ \text{Difference} = 40 \][/tex]
E. The difference in height between the pelican and the trout is:
[tex]\[ \text{Difference} = \text{Height of trout} - \text{Height of pelican} \][/tex]
[tex]\[ \text{Difference} = -23 - 17 \][/tex]
[tex]\[ \text{Difference} = -40 \][/tex]
F. The distance between the heights of the pelican and the trout is the absolute value of their difference:
[tex]\[ \text{Distance} = |\text{Difference}| \][/tex]
[tex]\[ \text{Distance} = |-40| \][/tex]
[tex]\[ \text{Distance} = 40 \][/tex]
So, the true statements are:
- B. The difference in height between the pelican and the heron is 33 feet.
- C. The distance between the heights of the pelican and heron is 33 feet.
- E. The difference in height between the pelican and the trout is 40 feet.
- F. The distance between the heights of the pelican and the trout is 40 feet.
complete question given below:
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
Select all the true statements.
A The difference in height between the pelican and the heron is -33 feet.The difference in height between the pelican and the heron is -33 feet.
B The difference in height between the pelican and the heron is 33 feet.The difference in height between the pelican and the heron is 33 feet.
C The distance between the heights of the pelican and heron is -33 feet.The distance between the heights of the pelican and heron is -33 feet.
D The difference in height between the pelican and the trout is -40 feet.The difference in height between the pelican and the trout is -40 feet.
E The difference in height between the pelican and the trout is 40 feet.The difference in height between the pelican and the trout is 40 feet.
F The distance between the heights of the pelican and the trout is 40 feet.
Question on photo, there are two parts, read carefully! Will mark brainliest
what does compoundes bi-annually mean again?
Answer:
1 compounding every 2 years
Step-by-step explanation:
Compounded bi-annually in mathematics refers to calculating interest twice a year, where the interest earned in the first six months is used to calculate the interest for the second six months.
Explanation:The term compounded bi-annually refers to a method of calculating interest where the interest is added to the principal amount twice a year or every six months. This means that the interest you earn after the first six months will also earn interest for the second six months of the year. For example, if you have $1000 with an annual interest rate of 10% compounded bi-annually, after six months, you'd earn 5% interest of $50 making your total $1050. In the next six months, the interest would be calculated on $1050, giving you an another 5% of $52.5 for a total of $1102.5 for the year.
Learn more about Bi-annual Compounding here:https://brainly.com/question/35501393
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Emma buys and sells truck parts. she bought 2 tires for $35 and later sold them for $65. she bought three rims for $75 and later sold them for $136. she bought 4 headlight covers for $4 and later sold them for $15. what is Emma's total profit?
Answer:
The two tires she bought is $35+$35 which then equals to $70. She spent $70 on tires. She then sold them for $65. She bought three rims, each $75... $75+$75+$75 which then equals her $225. And then sold them for $136. She then bought four headlight covers for $4 each... $4+$4+$4+$4, which equals her $16. Then sold them for $15. Her total profit is -$95. How i got that answer you say, well, if you calculate how much she spent on everything in total, she spent -$311 on everything. You then calculate how much she gained by selling everything she had bought, which was a total of $216. Add both of the total prices, -$311+216= you get -$95.
Step-by-step explanation:
Answer:
298
Step-by-step explanation:
35*2=70 65*2=130 130-70=60
75*3=225 136*3=408 408-225=183
5*4=20 15*5=75 75-20=55
55+60+183=298
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!
Line m passes through point (2,-7) and (4,-9). Line m is parallet to which line?
A. Y= -x+2
B. Y= x-9
C. X=7
D. Y=-1
Answer:
y= -x+2
Step-by-step explanation:
given that line m, passes through (2,-7) and (4,-9)
(refer to attached)
slope of line m,
= [(-7) - (-9)] / (2- 4)
= (-7 +9) / (2- 4)
= (2) / (-2)
= -1
recall that the general form of a linear equation is
y = mx + b, where m is the gradient.
in this case, we found that m = -1, so look for the answer where the x-term has -1 as a coefficient, i.e the x-term is "-x"
By observation, we see that the only answer that has "-x" as part of the equation is A
how to solve this equation
-6=b/18
Answer:
b=-108
Step-by-step explanation:
To solve this equation for b, you simply multiply each side by 18. The reason you do this is to isolate the b.
[tex]-6=\frac{b}{18}[/tex]
[tex]18(-6)=(\frac{b}{18} )(18)[/tex]
[tex]-108=b[/tex]
Need help with this Asap.
Answer:
B
Step-by-step explanation:
7/8 +n/4 = 3/8. What is N
Answer:
n=-2
Step-by-step explanation:
7/8+n/4=3/8
n/4=3/8-7/8
n/4=-4/8
-4/8=-1/2
n/4=-1/2
cross product
4*-1=2*n
-4=2n
n=-4/2
n=-2
Answer:
Step-by-step explanation:
7/8 +n/4 = 3/8
Multiply each term by 8
(8)7/8 +n/4(8) = 3/8(8)
7 + 2n = 3
2n = 3 - 7
2n = - 4
n = -4/2
n = -2
a deck in the shape of a parallelogram has an area of 49 1/2 square feet and a base of 8 1/4 feet .Find the height of the deck
Answer:
6 ft
Step-by-step explanation:
Use the formula for area of a parallelogram A = bh
b is for base and h is for height. A is for area.
Substitute b for 8 1/4 ft² and A for 49 1/2 ft². Isolate "h" to find the height of the deck.
A = bh
49 1/2 ft² = (8 1/4 ft²)h Divide both sides by 8 1/4 ft² to isolate h
(49 1/2 ft²) ÷ (8 1/4 ft²) = (8 1/4 ft²)h ÷ (8 1/4 ft²)
(49 1/2 ft²) ÷ (8 1/4 ft²) = h
h = 6ft
Therefore the height of the deck is 6 feet.
an inline 3-cylinder engine has a 11 cm bore, the stroke is 6cm. Calculate the total stroke volume of the engine in cm3
Answer:
544.5π cm³ ≈ 1711 cm³
Step-by-step explanation:
Each cylinder has a bore (diameter) of 11 cm, and stroke (height) of 6 cm.
V = πr²h
V = π (11 cm / 2)² (6 cm)
V = 181.5π cm³
There are 3 cylinders, so the total volume is:
3V = 544.5π cm³
3V ≈ 1711 cm³
To calculate the total stroke volume of an inline 3-cylinder engine with an 11 cm bore and a 6 cm stroke, calculate the area of the bore, find the volume of one cylinder by multiplying by the stroke, and then multiply by the number of cylinders. The total stroke volume of the engine is 1710.6 cm³.
The student asked to calculate the total stroke volume of an inline 3-cylinder engine with an 11 cm bore and a 6 cm stroke. The formula to calculate the volume of a single cylinder is V = rac{ ext{ extpi}}{4} imes D^2 imes S, where V is the volume, D is the diameter of the bore, and S is the stroke. In this case, D would be 11 cm, and we would need to square this value, then multiply by extpi/4 and by the stroke length of 6 cm, then multiply the result by the number of cylinders, which is 3, to get the total engine displacement.
Step by step, we first calculate the area of the bore (cylinder base):
Area = extpi imes (radius)² = extpi imes (5.5 cm)²
= extpi imes 30.25 cm²
= 95.0332 cm². Next, we calculate the volume of one cylinder: Volume = Area imes Stroke = 95.0332 cm² imes 6 cm = 570.1992 cm³. Finally, we find the total volume for all three cylinders: Total Volume = 570.1992 cm³ imes 3
= 1710.5976 cm³. Thus, the total stroke volume of the engine is 1710.5976 cm³ or rounded to 1710.6 cm³.
The function f(x) varies inversely with x and f(x)= -10 when x = 20
What is the inverse variation equation?
A. f(x) = -2/x
B. f(x) = - 50/x
C. f(x) = - 0.5/x
D. f(x) = -5/x
Answer:
The inverse variation function can be written as:
[tex]f(x)=\frac{-200}{x}[/tex]
Step-by-step explanation:
Given :
[tex]f(x)[/tex] varies inversely with [tex]x[/tex]
when [tex]x=20[/tex], [tex]f(x)=-10[/tex]
To find the inverse variation equation.
Solution:
[tex]f(x)[/tex] varies inversely with [tex]x[/tex] can be represented as:
[tex]f(x)[/tex] ∝ [tex]\frac{1}{x}[/tex]
Thus, [tex]f(x)=\frac{k}{x}[/tex]
where [tex]k[/tex] represents the constant of proportionality.
We can determine the value of [tex]k[/tex] by plugging in the values given.
when [tex]x=20[/tex], [tex]f(x)=-10[/tex]
So, we have
[tex]-10=\frac{k}{20}[/tex]
Multiplying both sides by 20.
[tex]20\times (-10)=20\times \frac{k}{20}[/tex]
[tex]-200=k[/tex]
Thus the inverse variation function can be written as:
[tex]f(x)=\frac{-200}{x}[/tex]
If the interest earned on an account after 7 years at 6% is $1785 ,what is the initial value
Answer:
$4250
Step-by-step explanation:
i = prt
or
p = i / rt
where,
i = $1,785
r = 6% = 0.06
t = 7 years
So, we can calculate initial vale by putting the values in above equation;
p = $1,785 / (0.06 x 7)
p = $1,785 / 0.42
p = $4,250
Hence the initial value will be $4250
A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of the remaining cups. A total of 90 cups were used the second day.what was the original amount of cups in the box before any were used?
plz help asap will give u brainliest :)
Answer:
Step-by-step explanation:
the first day he used 30 cups
the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.
so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30
15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply
0.15(x - 30) = 90
0.15x - 4.5 = 90
0.15x = 90 + 4.5
0.15x = 94.5
x = 94.5 / 0.15
x = 630 total cups <==
lets check..
start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it
15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box
Answer:
630
Explanation:
15% * number of remaining cups = 90
15% * (x-30) = 90
0.15(x-30) = 90
0.15x - 4.5 = 90
0.15x = 94.5
x = 630
A store sells onions by the pound, the
proportional relationship is graphed on
coordinate plane below. Which equation
describes the relationship?
A) y=0.33x
B) y=0.66x
C) y=1.5x
D) y=2.3x
Answer:
C
Step-by-step explanation:
We have a linear equation in the form y = mx
Where m is the slope
The slope is the change in y divided by change in x.
We can take any 2 points on the line and see the change in y and divide it by the change in x. We will get slope, m.
Lets take points (2,3) and (6,9).
The change in y is 9 - 3 = 6
The change in x is 6 - 2 = 4
So, the slope would be:
m = 6/4 = 3/2 = 1.5
So, the equation would be:
y = 1.5x
Correct answer is C.
A 16 liter radiator is filled with a solution of 40 % antifreeze. How much should you drain from the radiation and replace with pure antifreeze to obtain a 60 % antifreeze solution?
[tex]5\frac{1}{3}[/tex] liters is the amount to be drained out and replaced
Solution:
40 % antifreeze solution in 16 liter radiator
Let "x" be the amount drained from radiation and replaced with pure antifreeze
To obtain a 60 % antifreeze solution
The original solution is 16 liter, 40% of which is antifreeze
You want the solution to be 60% antifreeze:
60 % x 16 = [tex]\frac{60}{100} \times 16 = 9.6[/tex]
You will remove x liters of the 40% solution and replace it with x liters pure (100%) antifreeze.
[tex]40 \% (16 - x) + 100 \% \times x = 60 \% \times 16[/tex]
Let us solve expression for "x"
[tex]\frac{40}{100} \times (16 - x) + \frac{100}{100} \times x = \frac{60}{100} \times 16\\\\0.4(16-x) + x = 0.6 \times 16\\\\6.4 - 0.4x + x = 9.6\\\\6.4 + 0.6x = 9.6\\\\0.6x = 3.2\\\\x = 5.33\\\\x = 5\frac{1}{3}[/tex]
Thus [tex]5\frac{1}{3}[/tex] liters is the amount to be drained out and replaced
What is 39 1/2% of 204 as a decimal
Answer:
Step-by-step explanation:
5. Which polynomial is equal to (x^5+ 1) divided by (x + 1)?
AXA - X3 .x² - x + 1.
B X - X² + x² - x + 1
C x4 + x3 -- x2 + x + 1
D x + x3 + x² + x 1
Answer:
B [tex]x^4-x^3+x^2-x+1[/tex]
Step-by-step explanation:
Given,
Dividend = [tex](x^5+1)[/tex]
Divisor = [tex](x+1)[/tex]
Now According to the rule of Division.
Step 1: At first dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when it is divided for the first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]
Step: 2 Now the remainder of step 1 will be new dividend which is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex] so when it is divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]
Step: 3 Now the remainder of step 2 will be new dividend which is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex] when it is divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]
Step: 4 Now the remainder of step 3 will be new dividend which is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex] when it is divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]
Step: 5 Now the remainder of step 4 will be new dividend which is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex] when it is divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
Hence When the polynomial [tex](x^5+1)[/tex] is divided by [tex](x+1)[/tex] the answer or quotient will be equal to [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.
Various dilations of square A are shown. Which square was obtained by dilating square A by the scale factor of
1
2
This question is incomplete. I found similar question with picture. Please refer to the attachment to relate with my answer
Full Question:
Various dilations of square A are shown. Which square was obtained by dilating square a by the scale factor of 3.
Answer:
E
Step-by-step explanation:
The square a is a 2 unit x 2 unit square. With scale factor of 3. Any unit length of the object must be multiplied by 3
In this case, since the object side is 2, the image side must be 2x3 = 6 units.
Therefore, the dilation of square A with factor of 3 is square E