Solve the equation. The letters a, b, and c are constants and a≠0
ax-7b = 9c

i got confused bc it doesn’t tell me what to solve for. please help! thank you!

Answer:

f the mean of this set is equal to 20, we can write down the below equation,

20 = (x1 + x2 +x3 + .... + x10)/10

x1 + x2 + x3 + ... x10 = 200

Then we can also write an equation for the mean of the given numbers as below,

Mean  = [(x1+4) + (x2+8) + (x3+12) + .... + (x10+40)]/10

          = (x1 + x2 + x3 + ... + x10 + 4 + 8 + 12 + ... + 40)/10

Then we can use above equation (1) to replace x1 + x2 + x3 + ... + x10 by 200

Mean = (200 + 4 + 8 +12 + 16 + 20 + 24 + 28 + 32 + 36 + 40)/10

        = 420/10

        = 42

If you remember Arithmetic Progressions you can simply add together the above number set.

If you closely look above, you can find that there is an Arithmetic Progression : 4, 8, 12, ... , 40

Here we want the addition of 10 terms. So we can use,

Sn = n/2(a+l)

S10 = 10/2(4+40)

      = 220

Then you can easily get the answer,

Mean = (200 + 220)/10

         = 42

Answer: [tex]25.9\%[/tex]

Step-by-step explanation:

Given

Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%

Suppose the marked price is [tex]x[/tex]

So, the selling price is [tex](1-0.15)x=0.85x[/tex]

Suppose the cost price is [tex]y[/tex]

[tex]\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x[/tex]

So, the percentage the shopkeeper marked his goods above cost price

[tex]\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%[/tex]

Answer:

D. A straight line segment can be drawn between any two points.

Step-by-step explanation:

Euclid of Alexandria was famously known and regarded as the founder of geometry, as well as the father of geometry. He was born in the Mid-fourth century, BC and he specialized in the field of Mathematics. Some of his popular works in the field of Mathematics were Euclid's Elements, Euclidean algorithm and Euclidean geometry.

One of the basic postulate of Euclidean geometry is that a straight line segment can be drawn between any two points.

Others include;

I. All right angles are congruent.

II. All straight line segment is indefinitely extendable in a straight line.

Answer:

I assume that we want to find the inverse of the function:

f(x) = 2*x + 10

Remember that the inverse of a function f(x), is a function g(x) such that:

f( g(x) ) = g( f(x) ) = x

Because f(x) is a linear function, we can assume that g(x) will also be a linear function:

g(x) = a*x + b

let's find the values of a and b.

We will have that:

f( g(x) ) = 2*g(x) + 10 = 2*(a*x + b)  + 10

And that must be equal to x, then we need to solve:

2*(a*x + b)  + 10 = x

2*a*x + 2*b + 10 = x

this must be true for all values of x, so we can separate it as:

(2*a*x) + (2*b + 10) = x + 0

2*a*x = x    (one equation for the terms with x)

2*b + 10 = 0

Solving these two equations we get:

2*b = -10

b = -10/2 = -5

2*a*x = x

2*a = 1

a = 1/2

Then the inverse function is:

g(x) = (1/2)*x - 5

Answer:2/pi

Step-by-step explanation:

First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.

Answer: 4 8×8= 64 half the base which is 8 =4

Step-by-step explanation:

Answer:

height = 8 m

base = 16 m

Step-by-step explanation:

Let base = 2x m

So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]

Area = 64 m²

[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]

 x * x = 64

x * x = 8 * 8

x = 8 m

Base = 2x = 2*8 = 16 m

Answer:

14

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side /adj side

tan theta = 8/33

taking the inverse tan of each side

tan^-1 (tan theta) =tan^-1 (8/33)

theta = tan ^-1 (8/33)

theta =13.62699486

To the nearest degree

theta = 14

"reassessed" has a total of 10 characters, one of which (e) occurs 3 times and another (s) which occurs 4 times.

Taking each character to be distinct, there would be a total of 10! permutations. But we don't want to do that, and instead want, for instance,

rEassessEd

and

rEassessEd

to count as the same permutation. So we divide the previous total by the number of ways we can permute each set of repeated characters. For example, 3 e's can be rearranged in 3! ways.

So the total number of distinguishable permutations would be

10!/(3! × 4!) = 25,200

Answer: Hardwood flooring

Step-by-step explanation:

Given

Rohann renovation of Carpentering cost $875 for [tex]20\ m^2[/tex]

For hardwood flooring [tex]17\ m^2[/tex] cost $750

So, cost per square meter for different floors are

[tex]\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2[/tex]

[tex]\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2[/tex]

Thus, the cost of the Hardwood flooring is more expensive.

Answer:

" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)  

y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)

if you add 1 to the equation y = x^2 + 1 it shifts UP one  

if you subtract 3 y = x^2 -3 it shifts down three ....

if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..

note that this slide is opposite to the sign + 4 left slide , - 4 right slide...

NOW YOUR QUESTION !!!! if the coefficient is > 1  

y = 99 x^2 then the graph gets "skinny" goes up faster...

if it is less than one (between -1 past 0 to +1 ) then it flattens out

Bottom line here your coefficient is a "-1/2"  

so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪

I hope that this helps

Step-by-step explanation:

Answer:

p(x) = ( x +2) (3x - 1) ( x-3)

Step-by-step explanation:

We know the equation for a polynomial with given zeros is

f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant

Since the zeros are x = -2, x = 1/3, and x =3.

p(x) = a( x - -2) (x - 1/3) ( x-3)

p(x) = a( x +2) (x - 1/3) ( x-3)

We can pick the value of a since we are not given a point on the function.  Pick a=3

p(x) = 3( x +2) (x - 1/3) ( x-3)

Rewriting the second term

p(x) = ( x +2) (3x - 1) ( x-3)

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum

Answer:

answer is

4ft * 5ft

= 20ft^2

Answer:

I D K u tell me

Step-by-step explanation:

this is what u answersed another he/she question repeating u

Answer:

SHEEESSHHHHHHHHHH

Step-by-step explanation: life goes around and around

Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.

Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:

[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]

Therefore, in 5 years, the population should be 151,031.

Answer:

-6

Step-by-step explanation:

3*2=6

so the opposite of 6 is -6

Also a negetive times a positive is always a negetive number

Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

To learn more on volume click :

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Answer:

86.5

[tex]14 + 8 + 12.5 = 34.5 \: \: 121 - 34.5 = 86.5[/tex]

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

Answer:

if im not mistaken its 121

Step-by-step explanation:

Answer:

99°

Step-by-step explanation:

The interior angle sum of any 5 sided polygon is 540°.

540-53 = 487 - 137 = 350 - 105 = 245- 146 = 99°

Answer:

C

Step-by-step explanation:

Subtract Vot from the given equation

s - Vo*t = 1/2 a t^2                Multiply by 2

2(s - Vo*t) = at^2                  Divide by t^2

2(s - Vo*t) / t^2  = a

Looks like C is the answer.

Answer:

C

Step-by-step explanation:

C because it has sides unequal in length.

Answer: C

Step-by-step explanation:

Isosceles: 2 sides equal

Acute: angles are less than 90 degrees

Scalene: All side lengths are different

Equilateral: All sides are equal

Answer:

7.393691004

Step-by-step explanation:

7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43​

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data set is 20, 25, 30, 36, 32, 43​

Firstly we have to find the mean

Mean=20+25+30+36+32+43/6

=186/6

=31

The deviations from the mean are 20-31=-11

25-31=-6

30-31=-1

36-31=5

32-31=1

43-31=12

Using the definition of standard deviation (σ) , we have:

σ=√121+36+1+25+1+144/6

σ=√328/6

σ=√54.66=7.4

Hence, 7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43​

To learn more on Statistics click:

https://brainly.com/question/29093686

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Answer:

x is 90° I hope it will help you please follow me

Answer:

My answer came 78°

Step-by-step explanation:

First, B and C are alternate angles so,

71°= y (let) + 29°

Y= 42°

Then, X + 42 + 60 = 180°

X = 180 - 102

X = 78 °

Hope this helps. :)

Answer:

A=38°

B=84°

C=68will use the property of an isosceles triangle to find the answer

Answer:

Basic Cable Company A= 30x + 75

Basic Cable Company B= 40x

After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper

Step-by-step explanation: