expanded form of 54.98

Answer:

30, 11

Step-by-step explanation:

x+x-19=41

2x=41+19=60

x=60/2=30

x-19=11

Answer:

I think its 1/3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The ordered pairs are (6,72) (8,96) (5.5, 66) (9,108) (7,84).

The number of hours worked is [tex]x[/tex] and the money earned is  [tex]y[/tex].

Let us divide the values of [tex]y[/tex] by [tex]x[/tex]

[tex]\dfrac{72}{6}=12[/tex]

[tex]\dfrac{96}{8}=12[/tex]

[tex]\dfrac{66}{5.5}=12[/tex]

[tex]\dfrac{108}{9}=12[/tex]

[tex]\dfrac{84}{7}=12[/tex]

The fuction which defines the above ordered pairs is [tex]y=12x[/tex]

It can be seen that the amount of money earned is 12 times the number of hours worked.

So, per hour Jerry earns 12 dollars.

Hence, the ordered pairs are relation.

Answer:

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

Step-by-step explanation:

1 gallon = 30 milles

×5

=5 gallon = 150 milles

×10

=10 gallon =300 milles

Answer:

3m4 + 5m3 - 5m2 + m - 3  

            3          

Step-by-step explanation:

Step-by-step explanation:

step by step

STEP

1

:

Equation at the end of step 1

((((3•(m3))+5m2)-5m)+1)

(———————————————————————•m)-1

3

STEP

2

:

Equation at the end of step

2

:

(((3m3+5m2)-5m)+1)

(——————————————————•m)-1

3

STEP

3

:

3m3 + 5m2 - 5m + 1

Simplify ——————————————————

3

Checking for a perfect cube :

3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 3m3 + 5m2 - 5m + 1

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -5m + 1

Group 2: 5m2 + 3m3

Pull out from each group separately :

Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)

Group 2: (3m + 5) • (m2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,3

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 8.00

-1 3 -0.33 3.11

1 1 1.00 4.00

1 3 0.33 0.00 3m - 1

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

3m3 + 5m2 - 5m + 1

can be divided with 3m - 1

Polynomial Long Division :

3.4 Polynomial Long Division

Dividing : 3m3 + 5m2 - 5m + 1

("Dividend")

By : 3m - 1 ("Divisor")

dividend 3m3 + 5m2 - 5m + 1

- divisor * m2 3m3 - m2

remainder 6m2 - 5m + 1

- divisor * 2m1 6m2 - 2m

remainder - 3m + 1

- divisor * -m0 - 3m + 1

remainder 0

Answer is 3

Answer:

B

Step-by-step explanation:

The triangle which shows the new location would be Triangle B.

From the coordinates of XYZ transformed to coordinates of triangle X'Y'Z', we can see that the transformation pattern is;

(x, y) -----> (-y, x)

Consider the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation, Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Case 2: If the point is in second quadrant:

Subcase: Clockwise rotation, Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

On origin, No effect as we assumed rotation is being with respect to origin.

Now, this pattern of transformation occurs when Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure.

However, the other rotation that can be used to achieve this is a 270° counterclockwise rotation. so the correct option triangle is B.

Read more about rotation at;

brainly.com/question/4289712

#SPJ6

Answer:

8% compounded monthly has higher yield

Step-by-step explanation:

Here, we want to compare which of the two options would give a higher yield

An interest rate of 8% compounded monthly or 8% compounded annually

Let us say we are looking at a time frame of two years

If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times

While if it is annual, we would have only twice

The higher the number of times we compound, the more the return

Answer:

x = 67

Step-by-step explanation:

180 - 113 = 67

Answer:

x=67 degrees

Step-by-step explanation:

113+x=180--->linear pair

x=67--->subtractioin property

Answer:

maybe 15 is the answer so

Answer:

x = 75°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

The angle at the centre is

360° - (285 - x)

= 360 - 285 + x

= 75 + x

Thus

x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction

2x = 75 + x ( subtract x from both sides )

x = 75°

Answer:

The equivalent expressions are;

9x + 9

and

9(x + 1)

Step-by-step explanation:

Mathematically, we should understand that an equilateral triangle has all of its sides equal

So if one side is 3x+ 3, the other sides too measures same

Therefore, the length of the rope represents the perimeter of the triangle

This is obtainable by adding all the side lengths together

This will be;

3x + 3 + 3x + 3 + 3x + 3 = 9x + 9

This is also same as 9(x + 1)

Answer:

sussi baker!!!

Step-by-step explanation:

Answer: Above answer is correct

Step-by-step explanation:

Answer:

34 degrees; 56 degrees

The measures of each of the acute angles are 56 degrees and 34 degrees.

Step-by-step explanation:

The measures of a triangle add up to 180 degrees.

One angle has the measure of 90 degrees since it is marked as a right angle.

Using this info we can create an equation to solve for x.

(19x-1)+(13x-5)+90=180

Now solve for x.

32x-6+90=180

32x=96

x=3

Now to find the measure of each angle subsitute the value of x.

(19x-1)=19*3-1=56 degrees

(13x-5)=13*3-5=34 degrees

The measures of each of the acute angles are 56 degrees and 34 degrees.

Answer:

19x - 1 ➡ 19 × 3 - 1 = 56°

13x - 5 ➡ 13 × 3 - 5 = 34°

Step-by-step explanation:

The given triangle is a right triangle which means one of the angle has a measurement of 90° and since the sum of interior angles in a triangle is equal to 180° the sum of other two angles must be 90°

19x - 1 + 13x - 5 = 90 add like terms

32x - 6 = 90 add 6 to both sides

32x = 96 divide both sides by 32

x = 3

19x - 1 ➡ 19 × 3 - 1 = 56°

13x - 5 ➡ 13 × 3 - 5 = 34°

Median = 5

Mean = 5.4444444444444

Mode: 3

Range = 9

Minimum =   1

Maximum =  10

How to find Median:

Arrange your numbers in numerical order.  Then the second step is to have an odd number, divide by 2 and round up to get the position of the median number.  The last step is to find the even number and if you have it, divide it by 2.

Answer: 5

Hope this helps.

Answer: -64

Step-by-step explanation:

flip the fraction, and then change the sign so it turns into multiplication.

-8 x 8

multiply them after that.

-64

Answer:

91

Step-by-step explanation:

Substitute 4 in place of x

f(4)=20*4+11

f(4)=80+11

f(4)=91

Answer: Angle TUV = 57 degrees

Explanation:

The diagram shows Angle TSV = 57 degrees.

Opposite angles of any parallelogram are always congruent, so angle TUV is equal to angle TSV. This makes angle TSV to be 57 degrees. The other values are not needed.

Answer:

Step-by-step explanation:

To get a length of any side 8+10=18

the area= L^2=

                18^2=324m

All you have to do is reflect the triangle over the line x = -1.

The answer is in the graph below.

Answer:

C

Step-by-step explanation:

12568*.45 = 5655.6

c is best answer here

Answer:

y=1 x=9

Step-by-step explanation:

-4(9y) + y = -35

-36y+y=-35

-35y= -35

y=1

To check-

-4(9) + 1 = -35

-36 + 1 =-35

Answer:

Spent=$546

Budget=100%

=39/100*546

Answer:

n<2

Step-by-step explanation:

-2n+5>1

-2n>1-5

(-2n>-4)divide by -2

Answer:

n<2

Step-by-step explanation:

Solve the Inequality for n

Isolate the variable by dividing each side by factors that don't contain the variable.

-2n+5>1

-2n>1-5

(-2n>-4)divide by -2

Interval Notation: (−∞,2)

Answer:

 sorry ?

Step-by-step explanation:

$430.00

Step-by-step explanation:

[tex]7740 \div 18 = 430[/tex]

Answer:

[tex]mnb^2 = ac(m+n)^2[/tex]

Step-by-step explanation:

Given

[tex]ax^2 +bx + c = 0[/tex]

Required

Condition that the roots is in m : n

Let the roots of the equation be represented as: mA and nA

A quadratic equation has the form:

[tex]x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0[/tex]

or

[tex]x^2 - (\frac{b}{a})x + \frac{c}{a} = 0[/tex]

We have the roots to be mA and nA.

So, the sum is represented as:

[tex]Sum = mA + nA[/tex]

[tex]Sum = A(m + n)[/tex]

And the product is represented as:

[tex]Product = mA * nA[/tex]

[tex]Product = mnA^2[/tex]

By comparing:

[tex]x^2 + (sum\ of\ roots)x + (product\ of\ roots)=0[/tex]

with

[tex]x^2 - (\frac{b}{a})x + \frac{c}{a} = 0[/tex]

[tex]Sum = -\frac{b}{a}[/tex]

[tex]Product = \frac{c}{a}[/tex]

So, we have:

[tex]Sum = -\frac{b}{a}[/tex]

[tex]A(m + n) = -\frac{b}{a}[/tex]

Make A the subject:

[tex]A = \frac{-b}{a(m+n)}[/tex]

[tex]Product = \frac{c}{a}[/tex]

[tex]mnA^2 = \frac{c}{a}[/tex]

Substitute [tex]A = \frac{-b}{a(m+n)}[/tex]

[tex]mn(\frac{-b}{a(m+n)})^2 = \frac{c}{a}[/tex]

[tex]mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a}[/tex]

Multiply both sides by a

[tex]a * mn\frac{b^2}{a^2(m+n)^2} = \frac{c}{a} * a[/tex]

[tex]\frac{mnb^2}{a(m+n)^2} = c[/tex]

Cross Multiply:

[tex]mnb^2 = ac(m+n)^2[/tex]

Hence, the condition that the ratio is in m:n is

[tex]mnb^2 = ac(m+n)^2[/tex]

Answer:

The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.

Step-by-step explanation:

Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. [tex]s_{1} = -s_{2}^{-1}[/tex])

Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:

(3,5)-(1,1) and (0, 2)-(5, 12)

To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate.  That will give us a valid Δx and Δy to get the slope.

In the first pair, 3 > 1, so we'll subtract the second point from the first:

[tex]s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2[/tex]

So the first pair of vectors describe a line with a slope of 2.  Let's look at the other pair:

[tex]s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2[/tex]

That also gives us a slope of 2, meaning that the two lines are parallel.

This same process will need to be done for the other three questions.  We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image.  For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.