Answer:
75
Step-by-step explanation:
15 is 20% of the total.
The total is x since it is unknown.
20% of the total = 15
20% of x = 15
0.2x = 15
Multiply both sides by 5.
x = 75
On a coordinate plane, which point lies on the x-axis?
Answer:
the origin
Step-by-step explanation:
Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each row has the same number of marigold plants and the same number of rose plants.
Answer:
HCF=2*2=4
Step-by-step explanation:
Given : Shane wants to plant 28 marigold plants and 36 rose plants in his garden
To Find : the greatest number of rows possible each row has the same
number of marigold plants and the same number of rose plants.
Solution:
marigold plants = 28
rose plants = 36
To find the greatest number of rows possible if each row has the same
number of marigold plants and the same number of rose plants.
we need to find HCF of 28 and 36
28 = 2 x 2 x 7
36 = 2 x 2 x 3 x 3
HCF = 2 x 2 = 4
greatest number of rows possible is 4
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If the HCF of (p²-p-6) and (p²+3p-18) is (p-a). Find the value of a ...
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Find the reciprocal of 4
Answer:
reciprocal of 4 = 1/4
Step-by-step explanation:
By definition, a reciprocal of a/b = b/a.
Since 4 is the same as 4/1, then it's reciprocal must be 1/4.
Answer:
1/4
Step-by-step explanation:
because 4 = 4/1
reciprocal means to flip it upside down 4/1 = 1/4
the product of two rational numbers is 9.6 if one rational number is 66/7. find the other rational number
Answer:
0.1714
Step-by-step explanation:
just substract 9.6 from 66/7 which will give u the other rational number.
then add both the rational numbers to check ur answer.
66/7 + 0.1714 = 9.6
Help please? What do I do?
You have just bought a new Sony 55" 3D television set for $1,800. The value of the television set decreases by $210 per year. How long before the television set is worth half of its original value?
Round your answer to the nearest tenth as needed.
What is an equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25x+5y=25?
Answer:
[tex]y = - \frac{1}{5} x - 7[/tex]
Step-by-step explanation:
let's rewrite the equation
[tex]x + 5y = 25 \\ 5y = - x + 25 \\ y = - \frac{1}{5} x + 5[/tex]
Now let's use the given point and substitute it to find the y-intercept
[tex] - 6 = - \frac{1}{5} ( - 5) + b \\ - 6 = 1 + b \\ b = - 7[/tex]
The required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
The point is (-5,-6) and is parallel to the line x+5y=25.
According to given question we have
By use of slope we get
x+5y=25
5y=25-x
Divide both sides 5 we get,
y=-1/5x+5
Where m= -1/5
Now you can find the equation of the parallel line using
[tex](y-y_{0} )=m(x-x_{0})[/tex]
Put the given point as (-5,-6) we have,
[tex](y+6)=\frac{-1}{5} (x+5)\\\\y=\frac{-1x}{5} -1-6\\\\y=\frac{-1x}{5} -7[/tex]
Therefore, the required solution of the given equation of the line that passes through the point (-5,-6) and is parallel to the line x+5y=25 is
[tex]y=\frac{-1x}{5} -7[/tex].
Learn more details about slope here:
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its accounting please help me
9514 1404 393
Answer:
1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B
2: 4,000 composite units
Step-by-step explanation:
We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.
1)A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:
A: 72 -40 = 32
B: 48 -28 = 20
composite unit: 2A+B = 2(32) +20 = 84
(a) The contribution margin per composite unit is $84.
__
(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:
84n = 1260000
n = 1260000/84 = 15000
30,000 units of A and 15,000 units of B must be sold to break even.
__
(c) The additional number of composite units required to achieve pre-tax income of 294000 is ...
294,000/84 = 3500
37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.
__
2)Contribution margins per unit are ...
H: 6 -4 = 2
C: 8 -6 = 2
I: 10 -7 = 3
A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...
3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars
The break-even point is 52,000/13 = 4,000 composite units
What is the absolute value function?
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
PLEASE HELP PLEASE PLEASE PLEASE
Answer:
c
Step-by-step explanation:
The absolute value function would be;
b. y= -7 |x - 8| +4
Given that;
The functions are,
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).
In the given options, the equation that represents the absolute value function is:
b. y = -7 |x - 8| + 4
This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).
As x approaches 8 from the left, the value of y decreases.
As x moves away from 8 towards positive or negative infinity, the value of y increases.
Therefore, the correct option is (b).
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A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 972 in3. How big a piece of cardboard is needed? Your answer is:__ in. by___ in.
show your work
Answer:
24 in by 24 in
Step-by-step explanation:
Height of the box is 3 in, then
area of base is 972/3 = 324 in.
The side of the box base is [tex]\sqrt{324}[/tex] = 18
The side of the square piece of carboard is 18 + 2 x 3 = 24 in.
Ez or not? Help bros.
Answer:
11 ft
Step-by-step explanation:
Consider the following two loans for P=$5,000. Loan A: 2.5 year loan, annual interest rate of 12%. Loan B: 5 year loan, annual interest rate of 6%. Both loans are paid monthly, and their interest is compounded monthly. Calculate the absolute difference between the total interest paid on both loans. Round your answer to the nearest cent.
53.5 dollars is the total interest paid on both loans.
What is Compound Interest ?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Loan A :
CI = P(1 + R/100)∧(T) - P
CI = 5000(1 + 12/100)∧(5/2) - 5000
CI = 1637.66
Loan B :
CI = P(1 + R/100)∧(T) - P
CI = 5000(1 + 6/100)∧(5) - 5000
CI = 1691.13
difference between two CI
= 1691.13 - 1637.66
= 53.47
= 53.5 dollars
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What is the length of the line?
Answer:
its A 6.5................
please help teacher mean
Help me with this math question. Please no links.
I cant read it, the picture is blurry
using de moivre's theorem to find square roots of (2-2√ 3 i)
Let z = 2 - 2√3 i. In polar form, we have
[tex]z = |z| e^{i\arg(z)}[/tex]
where
[tex]|z| = |2-2\sqrt3| = \sqrt{2^2 + (-2\sqrt3)^2} = 4[/tex]
[tex]\arg(z) = \tan^{-1}\left(-\dfrac{2\sqrt3}2\right) = -\tan^{-1}(\sqrt3) = -\dfrac\pi3[/tex]
Equivalently,
[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right)[/tex]
Let w be a complex number such that w ² = z. By DeMoivre's theorem,
[tex]z = 4\left(\cos\left(-\dfrac\pi3\right) + i\sin\left(-\dfrac\pi3\right)\right) \\\\ \implies z^{1/2} = 4^{1/2} \left(\cos\left(\dfrac{-\frac\pi3+2k\pi}{2}\right) + i \sin\left(\dfrac{-\frac\pi3+2k\pi}{2}\right)\right)[/tex]
where k ∈ {0, 1}. So the two square roots of z are
[tex]z^{1/2} = \begin{cases}2\left(\cos\left(-\dfrac\pi6\right) + i\sin\left(-\dfrac\pi6\right)\right) & \text{for }k=0 \\\\ 2\left(\cos\left(\dfrac{5\pi}6\right) + i\sin\left(\dfrac{5\pi}6\right)\right) & \text{for }k=1\end{cases}[/tex]
[tex]z^{1/2} = \begin{cases}2\left(\dfrac{\sqrt3}2 - \dfrac12 i\right) & \text{for }k=0 \\\\ 2\left(-\dfrac{\sqrt3}2 + \dfrac12 i\right) & \text{for }k=1\end{cases}[/tex]
[tex]\boxed{z^{1/2} = \begin{cases}\sqrt3 - i & \text{for }k=0 \\ -\sqrt3 + i & \text{for }k=1\end{cases}}[/tex]
5x−13x≥16 what’s the answer
x ≤ -2
Step-by-step explanation:
[tex]\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}[/tex]
What is the equation of a line parallel to 2x−3y=5 that passes through the point (−9,2)?
3x−2y=−31
3x+2y=−23
2x−3y=−24
2x+3y=−12
Parallel lines have the same slope
The equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]
From the question, we have:
[tex]\mathbf{2x - 3y = 5}[/tex]
Make y the subject
[tex]\mathbf{- 3y = 5 - 2x}[/tex]
Divide through by -3
[tex]\mathbf{y = \frac 23 x - 5}[/tex]
Because the required equation is parallel to [tex]\mathbf{2x - 3y = 5}[/tex], then they must have the same slope
A linear equation is represented as:
[tex]\mathbf{y=mx + c}[/tex]
Where:
m represents the slope
So, by comparison:
[tex]\mathbf{m = \frac 23}[/tex]
This means that:
The required equation has a slope of 2/3
The equation of the line is:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
Where:
[tex]\mathbf{m = \frac 23}[/tex]
[tex]\mathbf{(x_1,y_1) = (-9,2)}[/tex]
So, we have:
[tex]\mathbf{y = \frac 23(x + 9) + 2}[/tex]
Open brackets
[tex]\mathbf{y = \frac 23x + 6 + 2}[/tex]
[tex]\mathbf{y = \frac 23x + 8}[/tex]
Hence, the equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]
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Nethra was ordering yarn from a discount website. If she ordered more than $50 worth of yarn labeled “discountable,” she could take an extra 10% from the price of that yarn. Only some of the yarn she ordered was eligible for the discount. Here is what Nethra ordered:
2 skeins at $2.50 per skein (not discountable)
8 skeins at $8.40 per skein (discountable)
7 skeins at $5.99 per skein (discountable)
Tax is 5% and shipping is 8%.
How much did Nethra pay for her yarn?
121.37
there thank me later
This square potholder has a side of 8 inches. What is its area?
Answer:
64 i[tex]n^2\\[/tex]
Step-by-step explanation:
ok so first the shape is a square which means all sides are the same length so
8*8 = 64
Have a nice day! :-)
convert 35 pints to quarts
Answer:
21.0166
Step-by-step explanation:
njsfkulrnfijrirjir help me help me help me help
Answer:
d.13/24
Step-by-step explanation:
Use the given property of equality to complete the statement. Reflexive Property of Equality b + 5 + 12 =
Answer:
b=-17
Step-by-step explanation:
1) add common terms aka 5 and 12, which is 17
b+17=0
2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction
b=-17
Fill the table so it represents a linear function
Answer:
Hey mate.....can't see the attached picture....please check again
Answer:
what table??
Step-by-step explanation:
I NEED HELP ASAP!!! (NO LINKS)
FULL EXPLANATION WILL GET BRAINLIEST!!!
#33
Answer:
35
Step-by-step explanation:
Using the definition of n[tex]C_{r}[/tex]
with n = 7 and r = 3
7[tex]C_{3}[/tex]
= [tex]\frac{7!}{(7-3)!3!}[/tex]
= [tex]\frac{7!}{4!(3!)}[/tex]
= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator
= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]
= [tex]\frac{210}{6}[/tex]
= 35
is this correct? if not please help
Answer:
The correct answer is [tex]2 *10^3 ; 2,000[/tex]
Picture to text form: 2 x 10^3 ; 2000
Step-by-step explanation:
The answer you chose is incorrect.
Answer: It would be 2* 10^3; 2000
Step-by-step explanation:
Divide the total number of students in the state by the number of students in the school.
806240 / 400 = 2015.6
The closest number would be 2000, written as 2* 10^3.
Consider the graph of f(x)=13x−2. How do the graphs of 2f(x), f(x+2), and f(x)+2 compare to the graph of f(x)? Drag tiles to the empty boxes to correctly complete each sentence. The graph of 2f(x) Response area the graph of f(x). The graph of f(x+2) Response area the graph of f(x). The graph of f(x)+2 the graph of f(x).
Using translation concepts, it is found that:
2f(x) is a vertical stretch by a factor of 2 of f(x).f(x + 2) is a shift left of 2 units of f(x).f(x) + 2 is a shift up of 2 units of f(x).What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
As for this problem, we have that:
For 2f(x), f(x) is multiplied by 2, hence it is a vertical stretch by a factor of 2 of f(x).For f(x + 2), x -> x + 2, hence f(x + 2) is a shift left of 2 units of f(x).For f(x) + 2, f(x) -> f(x) + 2, hence it is a shift up of 2 units of f(x).More can be learned about translation concepts at https://brainly.com/question/4521517
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What is the name of the property used when multiplying polynomials?
Answer:
the distributive property
Step-by-step explanation:
it allows us to multiply each term of the first polynomial by each term of the second
PLS mark Brianliest
A field hockey field is rectangular. It's width is 54.88 meters and its length is 91.46 meters.find the perimeter of the field
Answer: 292.68 m²
Step-by-step explanation:P=2a+2b
P=2*54.88m+2*91.46m
P=109.76m+182.92m
P=292.68m²
A 12.5-gallon gasoline tank is 1/8 full. How many gallons will it take to fill the tank?
Answer:
10.9375 galStep-by-step explanation:
Volume of the tank = 12.5 galFull = 1/8 of the tankEmpty = 1 - 1/8 = 7/8 of the tankVolume to fill the empty part:
12.5*7/8 = 12.5 * 0.875 = 10.9375 galA 4-quart jug of juice costs $4.48. What is the price per cup?
Answer:
28 cents.
Step-by-step explanation:
There are 4 cups in 1 quart. So, 4 quarts is 16 cups.
If 4 quarts costs $4.48, to find the price per cup, you need to divide $4.48 by 16.
4.48 ÷ 16 = 0.28
This means each cup is 28 cents.
I hope this helps! :)
Step-by-step explanation:
you devide 4.48by 16 and your answer is 0.28
