43 = -3w - 6w -29 solve for w and simplify your answer as much as possible

Answers

Answer 1

Answer:

w = -8

Step-by-step explanation:

43 = -3w - 6w -29

combine w terms on right side:

43 = -9w -29

add 29 to both sides:

43 + 29 = -9w -29 + 29

72 = -9w

divide both sides by -9:

72/-9 = -9w/-9

w = -8


Related Questions

6. Given the area of the rectangle is 52 ft², find
the value of x.
(4x - 2) ft
2 ft

Answers

Answer:x=7

Step-by-step explanation: 2(4x-2)=52

8x-4=52

8x=56

x=7

ABCDE is a circle centre O. The diameter, AC, is extended to the point F so that CF = 16 cm. The line BF is the tangent to the circle at B and FDE is a straight line such that FD = 18 cm and DE = 14 cm. The radius of the circle is r

Answers

Answer:

r = 10 cm

Step-by-step explanation:

It is assumed you are looking for the missing value of r.

Use the intersecting secants theorem:

[tex]FA*FC = FE*FD[/tex]

Substitute known values and solve for r:

(2r + 16)*16 = (14 + 18)*1832r + 256 =  57632r = 320r = 10

Answer:

(a) FB = 24 cm

(b)  r = 10

Step-by-step explanation:

Part (a)

Find the length, in cm, of FB.

Intersecting Secant and Tangent Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Given:

Tangent segment = FBSecant segment = FE = 18 + 14 = 32 cmExternal secant segment = FD = 18 cm

[tex]\begin{aligned}\implies FB^2 & =FE \cdot FD\\FB^2&=32 \cdot 18\\FB^2&=576\\\sqrt{FB^2}&=\sqrt{576}\\FB&=24\end{aligned}[/tex]

Therefore, the length of FB is 24 cm.

Part (b)

Find the value of r.

Triangle FBO is a right triangle with side lengths:

BO = r cmFB = 24 cmOF = (r + 16) cm

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.

Therefore, substitute the side lengths of triangle FBO into Pythagoras Theorem and solve for r:

[tex]\begin{aligned}\implies BO^2+FB^2&=OF^2\\r^2+24^2&=(r+16)^2\\r^2+576&=r^2+32r+256\\576&=32r+256\\32r&=320\\r&=10\end{aligned}[/tex]

Therefore, the value of r is 10.

If f(x) = |x|, what is the equation of the graphed function?
A. y = f(-x+3)
B. y=f(-x) +3
C. y= -f(x+3)
D. y = -f(x) +3​

Answers

The equation of the graphed function is  y = -f(x) +3​.

What is translation?

Translation is the act of moving a form or a figure from one location to another. A figure can move in translation up, down, right, left, or anyplace else in the coordinate system. Only the object's location changes during translation; its size stays the same.

In mathematics, a translation is the up, down, left, or right movement of a form. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more routes have been altered.

Given:

f(x) = |x|

The graph given here is reflected over x- axis.

Now, to make it up- side down the parent function should be negative.

So, g(x)= -f(x)

then, the graph is also shifted 3 units up.

Thus, g(x)= -f(x) + 3

y = -f(x) +3​

Hence, the equation of the graphed function is  y = -f(x) +3​.

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4
Choose the conjecture that describes how to find the 7th term in the sequence 4, 20, 36, 52,
OA) Multiply 52 by 9.
O B) Multiply 16 to 32..
OC) Add 32 to 52
OD) Add 48 to 52.
...

Answers

The correct option D) Add 48 to 52 is the conjecture that describes for the  7th term in the sequence.

What is termed as the arithmetic progression?An arithmetic progression (AP) is just a sequence in which the differences between each successive term are the same.An arithmetic progression (AP) can be defined in two ways:An arithmetic progression is still a sequence in which the differences between each successive term are the same.An arithmetic progression is a sequence in which each term (except the first) is obtained by having to add a fixed number to the term before it.

For the given question, the sequence is given as;

4, 20, 36, 52,

Where, the first term a₁ is 4.

Second term a₂ is 20 and,

Third term a₃ is 36

Common difference d for each case is;

d = a₂ - a₁

d = 20 - 4 = 16

d = a₃ - a₂

d = 36 - 20 = 16

as, common difference is same, the sequence is said to be in AP.

Then, the formula for finding the 7th term is -

a₇ = a₁ + 6d

a₇ = 4 + 6×16

a₇ = 100

Now, this 7th term from the options can be found as;

Add 48 to 52 = 100.

Thus, the conjecture that describes for the 7th term in the sequence is add 48 to 52.

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I need some help with my math please

Answers

8g+11h+14f since permitted is each side added up

Find the measure of angle b

Answers

Angle b= 144°

180 — 36 = 144

Juan paid 13.46 for a 3.47-pound bag of shrimp at one store. the following week, he paid 18.75 for a 5.15-pound bag at another store. find the unit price for each bag is the better buy based on the unit price. round the answers to the nearest cent.

Answers

The unit price for a 5.15 pound bag is the better buy for Juan

Juan paid $13.36 for a 3.47 pound bag of shrimp:

So, cost of one pound bag of shrimp= [tex]\frac{1*13.46}{3.47}[/tex]

                                                            =$3.88

Hence, unit price for the 3.47 pound bag=$3.88

Following week, Juan paid $18.75 for a 5.15 pound bag at another store:

So, cost of one pound bag of another store= [tex]\frac{1*18.75}{5.15}[/tex]

                                                                        =$3.64

Hence, unit price for the 5.15 pound bag at another store=$3.64

It is clear from the above result that second buy (5.15-pound bag at another store) is the better buy for Juan because it cost less per pound.  

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Please help me with parts C and D, I’m struggling with them

Answers

ANSWER

[tex]\begin{gathered} c)s\imaginaryI n\frac{\theta}{2}=\sqrt{\frac{1}{2}(1-\frac{\sqrt{13}}{7})} \\ decimal=0.49 \\ d)cos\frac{\theta}{2}=\sqrt{\frac{1}{2}(\frac{\sqrt{13}}{7}+1)} \\ decimal=0.87 \end{gathered}[/tex]

EXPLANATION

Given;

[tex]\begin{gathered} sin\theta=\frac{6}{7} \\ 0<\theta<\frac{\pi}{2} \end{gathered}[/tex]

c) Hence;

[tex]\begin{gathered} sin\frac{\theta}{2}=\sqrt{\frac{1}{2}(1-\frac{\sqrt{13}}{7}}) \\ \end{gathered}[/tex]

In decimal form;

[tex]sin\frac{\theta}{2}=0.49[/tex]

d)

[tex]\begin{gathered} cos\theta=\frac{\sqrt{13}}{7} \\ cos\frac{\theta}{2}=\sqrt{\frac{1}{2}(\sqrt{\frac{13}{7}+1})} \\ decimal=0.87 \end{gathered}[/tex]

5. What is an equation of the line in slope-intercept form?
m=2/7 and the y-intercept is (0, -12)
Oy=2/7x+12
Oy=2/7x-12
Oy=12x-2/7
Oy=12x+2/7

Answers

Answer:

[tex]y=\dfrac{2}{7}x-12[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given:

slope = ²/₇y-intercept = (0, -12)

The y-intercept is the y-value when x = 0.

Substitute the slope and y-intercept into the formula to create the equation of the line in slope-intercept form:

[tex]\implies y=\dfrac{2}{7}x-12[/tex]

A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.1, determine the rate at which water is being pumped into the trough. ft3/min

Answers

Given:

A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.

The volume of the trough will be as follows:

[tex]undefined[/tex]

Simplify the expression √9x^3/25y^2 and be sure to explain your steps!

Answers

The value of the expression given as√9x^3/25y^2 is 3x^3/25y^2

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to simplify the value of the expression?

The expression is given as

√9x^3/25y^2

Evaluate the square root of 9 in the expression

So, we have the following equation

√9x^3/25y^2 = 3x^3/25y^2

The above expression cannot be further simplified

Hence, the solution to the expression is 3x^3/25y^2

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The graph of a linear function IS shown.
Which word describes the slope of the line?
positive
negative
zero
undefined

Answers

your answer will be positive

Please help me with this asappppp

Answers

The perimeter of the rectangle is  32 feet.

Perimeter of the rectangle:

The perimeter of a rectangle is stated that the sum of all the sides of a rectangle.

Through the definition, the perimeter of a rectangle,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the width of the rectangle

Given,

Here we have the diagram of the rectangle and the measurements are given in it.

And we need to find the perimeter of the rectangle.

Through the given diagram, we know that, the values of

length = 12 feet

width = 4 feet

Now, we have to apply the values on the formula in order to solve it,

So, the perimeter is,

P = 2 ( 12 + 4)

When we simplify it then we get,

P = 2 (16)

After the multiplication we get the result as

P = 32 feet.

Therefore, the perimeter of the rectangle is 32 feet.

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What is 10+409 bc I really need help

Answers

=419
Hope this helps you :)
The total is 419! Add 1 + 0 and 0 + 9.

A bicycle has cash price $16 319.50. It can be bought on hire purchase with a deposit of $6
900 and ten monthly installments of $1 224.50 each.
a. What is the total hire purchase price for the bicycle? [3 marks]
b. Find the difference between the hire purchase price and the cost price for the bicycle.
[1 mark]
c. Express your answer in (b) above as a percentage of the cash price.

Answers

The total cost of the hire purchase for the bicycle is  $19,145.

The difference between the hire purchase price and the cost price for the bicycle is  $2,825.50

The difference as a percentage of cash price 17.31%.

What is total cost?

The total cost of the hire purchase is the sum of the deposit and the total monthly instalment.

Total cost of the hire purchase = amount deposited + total instalment paid

Total instalment paid = number of month x payment per month

$1224.50 x 10 = $12,245

Total cost of the hire purchase = $6,900 +  $12,245 = $19,145

The difference = cost of hire purchase + cash price

$19,145 - $16 319.50 = $2,825.50

The difference as a percentage of cash price = (2,825.50 / $16,319.50) x 100 = 17.31%

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what is the 2nd ponit of x = -3

Answers

0 because if x=-3 then it would be written as (-3,0)

What is the value of this expression.

Answers

Answer:46

Step-by-step explanation:

14.14 / 14 Is what ? Please show work ┐( ∵ )┌​

Answers

Answer:

1.01

Step-by-step explanation:

14.14/14

14/14=1

0.14/14=0.01

1+0.01=1.01

50 POINTS!!!
Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. Explain

1. even numbers are divisible by 2. odd numbers are not divisible by 2 so 4 is an even number

2. all photosynthetic organisms produce oxygen. phytoplankton and photosynhetic organisms. So phytoplankton produces oxygen.

3. Each time you clean your room, you are allowed to go out with your friends. So, the next time you clean your room, you are allowed to go out with your friends

Answers

Answer:

1. Deductive reasoning, because it is testing the ecisting theory that odd numbers are not divisible by 2 and gives an example that 4 is an even number and is divisible by 2.

2. This statement would be deductive reasoning because the person stating this is establishing the truth that all photosynthetic organisms produce oxygen, they are not creating a theory, just stating facts.

3.  This would be inductive reasoning because they have given good reasons to base their theory however it is not simple fact.

Step-by-step explanation:

Hope i helped explain

5(4x - 1.5)+12=4x - 2

Answers

(if you’re solving for x)

Answer: -0.406

Explanation:

5(4x - 1.5) + 12 = 4x - 2

first, distribute the 5 into the parenthesis

20x - 7.5 + 12 = 4x - 2

then, simplify like terms

20x + 4.5 = 4x - 2

then, put the x terms together

16x + 4.5 = -2

put the constants together

16x = -6.5

solve for x.

x = -0.406

What is the slope of a parallel line whose equation is x-2y=-18. Fully simplified answer.

Answers

Answer:

slope of 1/2

Step-by-step explanation:

x-2y=-18

First, get the equation in slope intercept form

y = mx+b  where m is the slope and b is the y-intercept

-2y = -x -18

Divide each side by -2

y = 1/2 x + 9

The slope is 1/2

Parallel lines have the same slope, so lines that are parallel will have a slope of 1/2

NEED HELP ASAP - 100 POINTS
When solving quadratic equations, there are benefits to utilizing one method over the other. In your own words, explain what the advantages may be of using the method of completing the square to solve quadratic equations.

Answers

The advantages may be of using the method of completing the square to solve quadratic equations to estimate the values of x and y roots without calculating them.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Using Completing the square.

1. First of all we can find the minimum or maximum of the equation immediately.

2. Second is to cuts out the need to use the given ones (a, b, c) in the quadratic formula.

3. It allows estimating the values of x and y roots without calculating them.

Then Estimating on a test is a very valuable asset.

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Which answer choice correctly shows 11 x 11 x 11 x 11 x 11 x 11 x 11 x 11 in
exponential notation?
OA) 811
OB) 118
OC) 11⁹
OD) 1111

Answers

Answer:

it would be 11^8

Step-by-step explanation:

i dont see this as an option but i believe that there was a mistake i dont believe that any of theese are correct

On a map, Elmwood Drive passes through R(4,-11) and S(0,-9) and Taylor Road passes through
J(6,-2) and K(4,-5). If the streets are straight lines, determine if the streets are parallel or
perpendicular.

Answers

The streets where Elmwood and Taylor drive are neither perpendicular nor parallel.

Elmwood Drive passes through R(4,-11) and S(0,-9)

Slope of this line is (y₁-y₂)/(x₁-x₂)

Here (x₁,y₁) is (4,-11) and (x₂,y₂) is (0,-9)

slope of this line is (-11 - (-9))/(4-0)

= (-11 + 9)/4

= -2/4 = -1/2

Taylor Road passes through J(6,-2) and K(4,-5)

Slope of this line is (y₁-y₂)/(x₁-x₂

Here (x₁,y₁) is (6,-2) and (x₂,y₂) is (4, -5)

slope of this line is (-2 - (-5))/(6 - 4)

= (5 - 2)/2

= 3/2

The slopes of both the line is not same, so they are not parallel.

The product of slopes of both the lines is equal to 1, then it can be said as perpendicular lines.

The product of slope of streets passed by Elmwood and Taylor is

- 1/2 x 3/2 = -3/4

The result is not equal to 1, so they are not perpendicular lines.

Therefore, the streets where Elmwood and Taylor drive are neither perpendicular nor parallel.

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Determine if the following representations or functions or not? Explain your reasoning.

Answers

The three relations given all represent functions because each has exactly one y-value that corresponds to each x-value.

What Relation can be Defined as a Function?

A relation can be defined as a function if the x-values (input/domain element) each has exactly one y-value (output value/range element) that is related to or it corresponds to.

A function can have two x-values that have the same y-value but cannot have two y-values that corresponds to one x-value.

In the first relation showing a graph, each x-value on the graph has exactly one y-value it corresponds to. Therefore, it is a function.

In the second relation that is represented by the set of ordered pairs, every x-value also have only one y-value it is related to. Therefore, it represents a function.

The third function given shows a table of values of a relation that has exactly only one y-value that is assigned or related to each x-value. This also is a relation that represents a function.

Therefore, all three relations represent functions.

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From a 128-foot tree, an object is thrown straight up into the air then follows a trajectory. The height S(t) of the ball above the building after t seconds is given by the function S(t) = 96t - 16t^(2). How long will it take the object to reach maximum height?

Answers

Answer:

3 seconds

Step-by-step explanation:

We can solve this in either of two ways:  Graphing or taking the first derivative,  I'll use both,

Graphing

Plot the equation.  My DESMOS graph is attached.  One can find the vertex of this curve at 3 seconds.  Bonus:  It reaches a height of 144 units at this point.

Derivative

The first derivative of this function will produce an equation that returns the slope of the line at any point x.

S(t) = 96t - 16t^(2)

S'(t) = 96 - 2*16t

S'(t) = 96 - 32t

The slope of the curve will be 0 when the ball reaches it's maximum height and begins to fall.  Since we want the time it takes to reach a slope of zero, we can set S'(t) to 0 and solve:

S'(t) = 96 - 32t

0 = 96 - 32t

32t = 96

t = 3 seconds

After 4 months of a new nutrition program, Rashid has lost 16% of his original weight. he lost 36 lb. What was Rashid's original weight?

Answers

225 is his original weight.
36*100/16
36 times 100 then divide by 16

Answer:

225 lb

Step-by-step explanation:

Let x be Rashid's original weight.

If 16% of Rashid's original weight is 36 lb then:

[tex]\implies 0.16x=36[/tex]

To find Rashid's original weight solve for x:

[tex]\implies \dfrac{0.16x}{0.16}=\dfrac{36}{0.16}[/tex]

[tex]\implies x=225[/tex]

Therefore, Rashid's original weight is 225 lb.

PLS HURRYYYYY
Think about what you know about ratios and comparisons. Fill in each box. Use
words, numbers, and pictures. Show as many ideas as you can.

Answers

I don’t get it like we’re is the ratios

Casho went shopping for a new pair of sneakers because of a sale. The price on the tag was $25, but Casho paid $22.50 before tax. Find the percent discount

Answers

The percentage discount for the pair of sneakers is 10%.

What is percentage?

A percentage is a value per hundredth. Percentages can also be fractions and decimals by decimals by dividing by 100 and vice versa. To obtain a percentage of a given value we divide the given percentage by a hundred and multiply the value with it.

The percentage discount can be determined by putting the discounted value upon the price multiplied by a hundred and subtracting the obtained percentage from the hundred percentage.

∴ The percentage discount on the pair of sneakers is,

= (22.50/25)×100.

= 0.9×100.

= 90%.

So, the percentage discount is (100 - 90)% = 10%.

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Aiyana wrote the ratio 3:5 to compare a number of Paris of shorts that she owns to the number of pairs of jeans that she owns which ratio is equivalent to Aiyana’s ratio

Answers

3:5 is equivalent to Aiyana’s ratio

Since 3 and 5 are both prime numbers, you must multiply them by the same number (or any other integer) in order to have a ratio that is the same as Aiyana's. Ex 3:5=6:10=9:15 etc. The three ratios are identical.

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

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Which type of function best models the data in the scatter plot?A. exponentialB. quadraticC. linearD. square root How does the word choice impact the tone of the passage evaluating and understanding local economic conditions are critical before entering a foreign market. all of the following are key factors to consider except for: group of answer choices per capita income stage of economic development population economic growth rate direct investment currency exchange rate [tex] \huge \quad \: \bf \: Question : [/tex]Differentiate the following equations and write coefficients of terms in form of English alphabets. 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Find the number ofcentons between each Cylon attack.