Step-by-step explanation:
2y+7-5y+6y-3+y=
(2-5+6+1)y +7-3 =
(4)y + 4 =
4y + 4
the others could be:
9y-5+9-5y
and
4y-1+2y-y-y+1+4
In the diagram, segment AD bisects angle BAC.
Given the following segment lengths,
find the value of x.
Round to the nearest tenth.
AB= 25
AC = 21
The value for x is 10.9 units.
What is Angle Bisector Theorem?According to the Angle Bisector Theorem, a triangle's angle bisector cuts through the other side of the triangle so that the ratio of the two line segments is equal to the ratio of the other two sides.
Given:
In triangle ABC, AD is the angle bisector of <BAC.
Using the Angle bisector theorem
So, AB/ AC = BD / BC
25/ 21 = x/ (20- x)
25(20-x) = 21 x
500 - 25x = 21x
500 = 46x
x= 10.9
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Help me Pleaaee it’s urgent
What is 4 hours and 45 minutes as a fraction in simplest form?
O 4 2/3
O 4 3/4
O 4 5/9
O 4 1/2
To convert 4 hours and 45 minutes to a fraction, we need to first convert the minutes to hours by dividing by 60 and then add the result to the 4 hours.
4 hours and 45 minutes = 4 + 45/60 hours = 4 + 0.75 hours
Now, we can write this as a fraction by expressing the decimal part as a fraction:
4 + 0.75 = 4 + 3/4 = (4*4 + 3)/4 = 19/4
Therefore, 4 hours and 45 minutes is equal to 19/4 when expressed as a fraction in simplest form.
The answer is (B) 4 3/4.
True or false: In order to calculate MACRS depreciation, the business needs to know the asset's original cost, the depreciation period, and which depreciation method (i.e. 200% declining balance) is used. No other information is required.
The statement 'In order to calculate MACRS depreciation, the business needs to know the asset's original cost, the depreciation period, and which depreciation method (i.e. 200% declining balance) is used.' is false. because, the asset was used for both personal and business purposes, the business must calculate the percentage of business use in order to determine the correct depreciation deduction.
While the asset's original cost, depreciation period, and depreciation method are all necessary inputs for calculating MACRS depreciation, there are other pieces of information that are also required.
For example, the business must determine the applicable MACRS recovery period and the property's placed-in-service date, as well as any applicable conventions for calculating the depreciation.
Additionally, if the asset was used for both personal and business purposes, the business must calculate the percentage of business use in order to determine the correct depreciation deduction.
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. (a + b)2 – (2a – b)
Answer:
(-b) is the answer.
Step-by-step explanation:
2(a-b)-(2a-b)
=2a-2b-2a+b (opening the brackets)
= -b
Hope this helps you buddy. Have a nice day^_^.
If you have doubt then you can ask in comments. I will surely answer.
Answer:
3b
Step-by-step explanation:
=2a +2b-2a+b
=3b
yesyesyrssdfc
What is y to the 7th power, then subtract 8 from the result
Answer: y^7 - 8
Step-by-step explanation:
It is an algebra equation. It can't be factor or solve further!
A right triangle and some of its measurements are shown in this diagram.
Based on the measurements shown in the diagram, what is the value of t?
Answer:
\(6\sqrt{3\)
Step-by-step explanation:
The value of t would be,
⇒ t = 6 √3 mm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle is shown in figure.
Now, We can formulate;
⇒ sin 60° = t / 12
⇒ √3 / 2 = t / 12
⇒ √3 = t / 6
⇒ t = 6 √3 mm
Thus, The value of t would be,
⇒ t = 6 √3 mm
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72.3 + (-39.1)
☝
Rewrite the expression by breaking up each of the place values. In this case, the place values are tens, ones, and tenths.
Answer:
72.3 - 39.1 = 4tens - 7ones + 2tenth
Step-by-step explanation:
Give the expression 72.3 + (-39.1)
opening the parenthesis:
= 72.3 + (-39.1)
= 72.3 - 39.1
Breaking the decimal values into place values
72.3 = 7tens + 2units + 3tenth
72.3 = 7(10)+2(1)+3(1/10)
72.3 =70+2+0.3
Similarly for 39.1
39.1 = 3tens + 9units + 1tenth
39.1 = 3(10)+9(1)+1(1/10)
39.1 =30+9+0.1
72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)
72.3 - 39.1 = 70+2+0.3 - 30-9-0.1
72.3 - 39.1 = 70-30+2-9+0.3-0.1
72.3 - 39.1 = 40 - 7 +0.2
72.3 - 39.1 = 4tens - 7ones + 2tenth
Answer:
72.3 - 39.1 = 70 + 2 + 0.3 + (-30) +(-9) + (0.1)
Step-by-step explanation:
got it from edmentum
Show your work please no links please!:)
Answer:
hgoahdjfgggfhhfjfhfjf mark me brainliestplz
Step-by-step explanation:
A jacket is on sale for 10% off including the discount and 7% tax the sales price of the jacket is $115.56 what is the price of the jacket before the discount and tax
Answer:
120.00
Step-by-step explanation:
Let x be the original price
The price is 10% off, or we pay 90% of the original price
.9 x
Then we have to pay 7% sales tax
.9x * 7%
.9x * .07
.063x is the tax
Add this to the .9x we have to pay for the jacket
.9x + .063x = .963x
This is the cost of the jacket
.963x = 115.56
Divide each side by.963
.963x/.963 = 115.56/.963
x =120.00
The cost of the jacket before discount and tax is 120.00
NEED HELP ASAP PLEASE
i need help on this.
Answer:
what
Step-by-step explanation:
A 2,000 piece puzzle is in the shape of a trapezoid. The lengths of the bases are 7012 and 6512 inches long. The area of the puzzle is 1,224 square inches. What is the height of the puzzle?
in.
Answer:
0.18
Step-by-step explanation:
Maths big brain
Determine all values of h and f for which the system x + 3y = h and -4x + ky = -9 has no solution.
For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.
The given system of equations is:
Equation 1: x + 3y = h
Equation 2: -4x + ky = -9
For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.
Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.
For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.
To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.
Solving this equation for ok, we've got:
-1/3 = 4/k
-1 = 12/k
k = -12
Substituting k = -12 returned into the equation -1/3 = 4/k, we've:
-1/3 = 4/(-12)
-1/3 = -1/3
Since the equation holds real for any value of h, there aren't any restrictions at the price of h.
Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
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The system of equations has no solution when k is equal to 12. The value of h can be any real number.
To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.
The given system of equations is:
x + 3y = h
-4x + ky = -9
We can rewrite the second equation as:
-4x + ky = -9
Dividing both sides of the equation by -4, we get:
x - (k/4)y = 9/4
Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.
Therefore, for the system to have no solution, k must be equal to 12.
As for the value of h, it can be any real number since it does not affect the slopes of the lines.
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Here are two similar solid toys. The ratio of surface area of toys R: surface area of toy B is 7:9. The volume of toy B is 20cm^3. Work out the volume of toy A. Give your answer to 3 significant figures 
Answer:
13.7
Step-by-step explanation:
The computation of the volume of toy A is shown below:
7 × k^2=9
k^2= 9 ÷ 7
k=√9 ÷ 7
k = 1.133893419
Now
= 20 ÷ 1.133893419³
=13.7
Using 3.14 fond the area of each of these shapes
Answer:
Step-by-step explanation:
i. A = 1/2(3.14)(22/2)² = 380/2 = 190
ii. A = (3.14)(8)²(3/4) = 151
iii. A = 1/2(3.14)16/2)² + (9)(16) = 244.5
A candy dealer sells $0.05 and $0.10 candy bars. One day she sells 130 bars for
$9.00.
How many bars did she sell?
Answer:
did u just answer your own question
Step-by-step explanation:
Giorgio used all the vegetables shown in the table above for his dinner.
a. How much money did his meal cost?
Considering the cost of 3 bell peppers are $2.05, 4 tomatoes are $1.09, 2 onions are $0.65 and 5 potatoes are $0.33, and Giorgio used all these vegetables for his dinner, then his meal costed a total amount of $4.45.
As per the question statement, no information about the vegetables Gorgio used for his dinner or their prices are provided in the question statement, and thus we are considering that, Gorgio used 3 bell peppers that costed $2.05, 4 tomatoes at $1.09, 2 onions at $0.65 and 5 potatoes at $0.33 in his dinner recipe.
We are required to calculate how much does Gorgio's dinner meal cost.
To solve this question, we simply have to add up the prices of the ingredients and we will obtain our desired answer.
That is, Gorgio's meal costed a total amount of $(2.05 + 1.09 + 0.65 + 0.33)
= $4.45
Amount: In Mathematics, amount generally refers to the summation or adding up of two or more quantities, particularly the quantity being money.To learn more about Amounts, totals and prices, click on the link below.
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Find the common difference for the sequence shown
SUPER EASY
1/4, 5/16, 3/8, ...
A. 1/16
B. 1/4
C. 1/2
Answer:
B.
Step-by-step explanation:
divide the 2nd term to 1st term of sequence
PLEASE ANSWER ASAPPP!! Will get brainliest
Answer:
y=-2x+2
Explanations:
the slope is -2 and the y-intercept is (0,2)
The account balance is $34.56. If I deposit $34.56, what is my new
balance?
Answer:
69.12
Step-by-step explanation:
Answer:
69.12
Step-by-step explanation:
34.56 plus 34.56 is 69.12
Hope this helps!
Greg lends Ari $125 at an annual interest rate of 10%.
If Ari wants to pay no more than $25. 00 in simple interest, in how many years will he need to pay off the loan?
In 2 years, Ari will need to pay off the loan.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The formula to calculate the simple interest is;
S.I. = P x T x R / 100 ,
Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.
Given:
Greg lends Ari $125 at an annual interest rate of 10%.
And Ari wants to pay no more than $25.00 in simple interest.
To find the time period:
Use simple interest rate formula:
A = P x R x T / 100
We have,
P = $125, R = 10, A = $25.00
Substituting all the values to the formula,
25 = 125 x 10 x T / 100
T = 25 x 100 / 1250
T = 2500 / 1250
T = 2 years.
Therefore, 2 years is the time period for the loan amount.
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A moutain is in a shape of a cone whose height is about 3.8 kilometers and whose base radius is about 9 kilometers. Approximate the volume of the mountain in cubic meters.
The volume of the mountain in the shape of a cone is 102.6π km³
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
The volume of a cone is:
Volume = (1/3) * π * radius² * height
Given that the height is about 3.8 kilometers and whose base radius is about 9 kilometers. Hence:
Volume of cone = (1/3) * π * 9² * 3.8
Volume = 102.6π km³
The volume of the mountain is 102.6π km³
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find k so that x-1 is a factor of x^3 - 3x^2 + kx - 1
Answer:
\({ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}\)
Answer:
k = 3
Step-by-step explanation:
If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.
f (x ) = x³ - 3x² + Kx - 1 , then
plug 1 as x in the expression.
f ( 1) = ( 1)³ - 3 ( 1)² + k (1) - 1 = 0expand exponents
1 - 3 + k - 1 = 0combine like terms
-3 + k = 0Add 3 to both side
k = 3Ken has a total of 74 notes. They are either $2 or $5 notes. He has 16 more pieces of $5 notes than $2 notes. Find the total value of all his notes.
Answer:
$283
Step-by-step explanation:
Let,
x - for $2 notes
x + 16 - for $5 notes
EQUATION:
(x) + (x + 16) = 74
2x = 74 - 16
2x = 58
x = 29
SUBSTITUTE
x = 29 pieces of $2 notes
x + 16 = 29 + 16 = 45 pieces of $5 notes
TOTAL VALUE IS:
(29 x $2) + (45 x $5) = $283
Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formula. y = 32/(3p + 1)^−2/5, p > 0
(a) What is the rate of change in sales volume when the price is $22? (Round your answer to three decimal places.) (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, the sales volume will decrease by ___ units.
When the price is $22, the rate of change in sales volume is roughly -0.014 (thousands of units per dollar). This suggests that the sales volume is likely to decline by 0 units for every $1 rise in price, demonstrating a negligible impact of price on volume.
To find the rate of change in sales volume when the price is $22, we need to calculate the derivative of the sales volume function with respect to the price and evaluate it at the given price.
The sales volume function is given by:
\(y = \frac{32}{{(3p + 1)}^{-\frac{2}{5}}}\)
To find the derivative, we can use the chain rule. Let's denote the derivative as \(\frac{dy}{dp}\):
\(\frac{dy}{dp} = \left(-\frac{2}{5}\right) \cdot 32 \cdot (3p + 1)^{-\frac{2}{5} - 1} \cdot (3)\)
Simplifying the expression, we have:
\(\frac{{dy}}{{dp}} = \frac{{-64}}{{5 \cdot (3p + 1)^{\frac{{7}}{{5}}}}}\)
Now, we can evaluate the derivative at the price p = $22:
\(\frac{{dy}}{{dp}} = \frac{{-64}}{{5 \cdot (3 \cdot 22 + 1)^{\frac{{7}}{{5}}}}}\)
\(= \frac{{-64}}{{5 \cdot (66 + 1)^{\frac{{7}}{{5}}}}}\)
\(= \frac{{-64}}{{5 \cdot (67)^{\frac{{7}}{{5}}}}}\)
Calculating this expression to three decimal places, we get:
\(\frac{{dy}}{{dp}}\) ≈ -0.014
(a) The rate of change in sales volume when the price is $22 is approximately -0.014 (thousands of units per dollar).
(b) Interpretation: If the price increases by $1, the sales volume will decrease by approximately 0.014 (thousands of units). Rounded to the nearest whole number, we can say that the sales volume will decrease by 0 units. This suggests that a small increase in price has negligible impact on the sales volume.
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Consider a parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5).
2) Suppose the parallelogram is reflected over the x-axis, which vertex of the parallelogram will have the same coordinate before and after the reflection?
A) (0, 3)
B) (2, 0)
C) (2, 5)
D) (4, 2)
Answer:
B
Step-by-step explanation:
So a reflection over the x is a change in the y value.
Only point (2,0) is on the x-axis, so it will not move.
Simplify the fraction below leaving your answer as a fraction where both the numerator and denominator are positive integers. 3⁹÷3⁵÷9³×3
Answer:
1/27
Step-by-step explanation:
free brainlest
also, what is 90000000000+9000000000000
Answer:
9.09e+12
Step-by-step explanation:
18000000000000
Can i get brainliest plzz?
Someone help please, i am so stuck.