|14x – 1⁄3| = 2 solve

Answer:

1/6a-1/6, a=1

Step-by-step explanation:

Hey there! I can definitely explain :)

-2/3a+5/6a-1/6

Multiply the two terms (the first two), to have common denominators!

The common lowest (easiest to deal with) denominator is 18. So, multiply the first term (-2/3a) by 6/6 and the second term (5/6a) by 3/3!

-12/18a+15/18a-1/6

Now, add those together!

3/18a-1/6

Now simplify!

1/6a-1/6

If you want, you can solve for a!

1/6a=1/6

a=1

Hope this helps! Please mark brainliest :)

Answer:

Answer is -43

Step-by-step explanation:

1/5(40-p)= -3/5

40-p = (-3/5)/(1/5)

40-p = -3

-p = - 43

p = 43

Ans

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Sofia is wrong; 1/3 · 1/3 · 1/3 · 1/3 = 11/12.

Answer:

q=quarters, d=dimes

q+d=8

.25q+.1d=1.25

Let's set the first equation to equal d.

d=8-q

.25q+.1(8-q)=1.25

Distribute.

.25q+.8-.1q=1.25

Combine Like Terms

.15q+.8=1.25

Subtract .8

.15q=.45

Divide by .15

q=3

Now, let's solve for d in the first equation.

d+3=8

Subtract 3, and you get d=5

So, there are 5 dimes and 3 quarters in Maribel's pocket.

Check: .25(3)+.1(5)=1.25

.75+.5=1.25

1.25=1.25 which is true.

Jordan has 3 quarters and 5 dimes in his pocket that total to $1.25.

Let's assume Jordan has x number of quarters and 8 - x number of dimes in his pocket.

Each quarter is worth 25 cents, so the value of the quarters is 25x cents.

Each dime is worth 10 cents, so the value of the dimes is 10(8-x) cents.

The sum of the values of the quarters and dimes should be equal to $1.25, which is 125 cents. So, we can set up the equation: 25x + 10(8-x) = 125.

Simplifying the equation, we get 25x + 80 - 10x = 125. Combining like terms, 15x + 80 = 125. Subtracting 80 from both sides, 15x = 45. Finally, dividing both sides by 15, we find x = 3.

Therefore, Jordan has 3 quarters and 8 - 3 = 5 dimes in his pocket.

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3 remainder of 7 i fink

Step-by-step explanation:

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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Answer:

47

Step-by-step explanation:

just keep adding by 5

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

The height of the tree is 35 meters.

Step-by-step explanation:

Let the height of the tree be x meters, then the length  of the wire is

x+2 meters.

The distance from the tree to the anchor is  x-23 meters.

So using the pythagoras theorem:

(x + 2)^2 = x^2 +(x -23) ^2

x^2 + 4x + 4 = x^2 + x^2 - 46x + 529

x^2 - 50x + 525 = 0

( x - 15)(x - 35) = 0

x = 15, 35

x cannot be 15   as this would make the distance 15-23 which is negative so x mustr be 35 meters,

The volume of the given prism in question is 276.7 cubic yd

The formula for calculating the volume of a square based prism is expressed as:

V = BH/3

where

B is the base area

H is the height of the prism

Determine the height using Pythagoras theorem

b^2 = 13^2 - 10^2

b^2 = 169 - 100

b^2 = 69

b = √69
b = 8.3yd

Determine the required volume

V = (10*10)(8.3)/3

V = 830/3

V = 276.7 cubic yd

Hence the volume of the prism is given as 276.7 cubic yd

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As the given equation is (36)ˣ⁺²  = 6 , then the solution for the given equation is x ≈ -1.54.

The given equation in the question is (36)ˣ⁺²  = 6

according to the given equation , the goal is to solve the equation for x.

For solving this equation ,

we'll have to use logarithmic operations which is as follows:  

log36(6) = x+2.

We will be further using a calculator to determine the logarithmic value: log36(6) ≈ 0.4607.

Now, By subtracting 2 from both sides, we will get the value of x as:

x ≈ -1.54.

When we round off this value to the nearest 100th, we will get  -1.54.

Thus , the solution for the given equation is x ≈ -1.54.

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The instrument used here is a protractor.

An instrument used to measure angles in degrees is a protractor. When measuring angles using a protractor, it's crucial to check that the vertex of the angle is in the protractor's centre and that the angle's base is lined up with the protractor's baseline.

Acute Angle: - An angle that is less than 90 degrees is considered to be acute. For instance, if the angle is 30 degrees, we would line up the vertex of the angle with the protractor's centre and one of its sides with the baseline. The measurement would be read off the protractor scale, which in this instance would be 30 degrees.

Right Angle: - A right angle is a triangle with a 90 degree angle on each side. Using a protractor, we would line up the vertex of the angle with the protractor's centre and one side of the angle with the baseline to measure a right angle. The measurement would be read off the protractor scale, which in this instance would be 90 degrees.

Obtuse Angle: - An angle that is more acute than 90 degrees is referred to as an obtuse angle. When using a protractor to measure an obtuse angle, we would line up the vertex of the angle with the protractor's centre and one side of the angle with the baseline. The measurement would then be taken from the protractor scale and would be more than 90 degrees in this instance.

Straight Angle: - A straight angle is one that is 180 degrees in length. Using a protractor, we would line up the vertex of the angle with the protractor's centre and one side of the angle with the baseline to measure a straight angle. The measurement would then be taken from the protractor scale, which would be 180 degrees in this instance.

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Answer:

10 ft

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

2......................

∠PQR and ∠RQS are supplementary, which add up 180°

Sum:

3......................

4......................

From the picture and the value of x we got above:

QT bisects ∠RQS and we get two equal angles

Each will measure:

5......................

LM = 5, LN = 17, MN = ?

If L is between M and N, then

M is between L and N, then

5......................

Ray BD bisects ∠ABC, then formed angles are equal:

m∠DBC = m∠ABD

Answer:

a¹⁰

Step-by-step explanation:

\((x^{m} )^{n} =x^{mn}\)  

So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰

2.5x = 60

x = 60 / 2.5

x = 24

Answer:

I have made it in above picture

hope it helps

Answer:

option c

y = -1

Step-by-step explanation:

2x - y = 3 -----------------(1)

x - 3y = 4 ------------------(2)

from equation (2)

x = 4 + 3y-------------------(3)

substituting the value of x in equation (1)

2(4+3y) - y = 3

8 + 6y - y = 3

5y = 3-8

5y = -5

y = -1

substituting the value of y in equation (3)

x = 4 - 3

x = 1

Answer:

\(x \leq -\frac{1}{4}\)

Step-by-step explanation:

I hope this helps!

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Answer:

c. Graph C

I hope this helps!

The annual interest rate before compounding will be 7.0404%.

What is compound interest ?

Compound interest is the type of interest that is calculated using both the principal and the interest that has accumulated over the preceding period.

Given that Bank D pays 7.289% annual yield on an investment account in which interest is compound weekly.

We know that there are 52 weeks in 1 normal year.

The annual interest rate before compounding can be calculated using the formula of compound interest.

Compound interest = Amount - Principal

And Amount is given by the formula ;

Amount = P × \((1 +R)^n\)

where ; R is in %.

Let's assume P = $1.

So , the compound interest will be equal to

CI =  P × \((1 +R)^n\) - P

CI + P = P × \((1 +R)^n\)

CI + 1 = 1 × \((1 + R)^n\)

As the investment account is compound weekly, so the annual interest rate will be divide by 52 or it will be R / 52.

1 + (7.289/100) = 1 + (R/52)^52

0.07289 = (R/52)^52

Solving this we will get ;

R = 0.0704035593

or

R = 7.0404%

Therefore , the annual interest rate before compounding will be 7.0404%.

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Answer:

\(4.06 * 10^{-2}\)

Step-by-step explanation:

4.06 x 10^-2

C

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Answer:

$826.70

Step-by-step explanation:

If 75 t-shirts cost $ 424, it implies that the value of each shirt is $ 5.65 (424/75). Now, in the case of the 50 shirts, the total value is $ 299, with which the value of each unit is $ 5.98.

Thus, we can see that in an increase of 50% of the units (from 50 to 75), the discount is of the order of, as it arises from the following calculation:

5.98 = 100

5.65 = X

((5.65 x 100) / 5.98) = X

94.48 = X

Thus, since 100 - 94.48 is 5.52, the discount made for the 25 shirts is 0.22% each unit (5.52 / 25). Thus, in the case of printing 170 t-shirts, taking into account this tariff system, and taking as a base price that of 50 t-shirts at $ 299, a discount of 0.22% would be made on each of the 120 remaining t-shirts. Thus, 120 t-shirts at $ 717.6 (5.98 x 120) would be added to the initial $ 299, on which a 26.4% discount (0.22 x 120) would be applied, with which the final price would be $ 527.7 (717 x 0.736).

Thus, the total price of the shirts would be $ 826.7 (that is, adding the base price of $ 299 plus the price of the 120 extra shirts of $ 527.7).

Answer:

Below

Step-by-step explanation:

4 ft = 48 inches...... then add 9 inches X 15 years

48 +  9 x 15 = 183 inches       this is 15 ft 3 inches