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The lowest term of 34/38 is 17/19.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

34/38

= 17/19

Thus,

17/19 is the lowest term.

Learn more about fractions here:

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Answer:

He would have made 105 shots!

Step-by-step explanation:

8 shots × 21 is 168

5 shots × 21 is 105

So, he scored 105/168

Answer:

the answer is 3 because is you go left it turns it negative

Answer:

C

Step-by-step explanation:

If he collects 25 cans everyday,

and you use -s- for the number of days.

Multiply to get the total amount of cans.

Answer:

8/s

Step-by-step explanation:

do you really not no  this or are you being sarcastic

Answer:

2.6 ft/s

Step-by-step explanation:

Given that a soccer ball kicked into the air reaches 15 feet in 3 second. The first rate or speed will be:

Rate 1 = 15/3 = 5 feet/s

and falls to 3 feet after 5 seconds. Also, the second rate or second speed will be:

Rate 2 = ( 15 - 3 ) / 5

Rate 2 = 12 / 5

Rate 2 = 2.4 ft/ s

What is the rate of change between the 3rd second and the 5th second? That is, the change in speed. Which can be expressed as:

The rate of change = 5 - 2.4

The rate of change = 2.6 ft/s

Answer:

x=34

Step-by-step explanation:

a^2 + b^2 = c^2

16^2 + 30^2 = c^2

256 + 900 = c^2

1156 = c^2

sqrt1156 = c

34 = c

34 = x

Checked work with a calculator. Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.

Answer:

x = 34

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to find the missing side.

Step 2: Identify Variables

Leg a = 30

Leg b = 16

Hypotenuse c = x

Step 3: Solve for x

Answer:

They frosted the same amount

Step-by-step explanation:

did it on IXL and got it right ("Wonderful!")

Part (i)

-----------------

Work Shown:

(x+3)(x+2)

y(x+2) ..... Let y = x+3

y*x + y*2 ... distribute

x(y) + 2(y)

x(x+3) + 2(x+3) .... plug in y = x+3

x*x + x*3 + 2*x + 2*3 ... distribute

x^2 + 3x + 2x + 6

x^2 + 5x + 6

=====================================================

Part (ii)

-----------------

Work Shown:

We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.

The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.

Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.

The terms in those four inner cells (gray boxes) are:

The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.

We end up with the answer 4x^2-16x+7

Answer:

3. a) 37 b) 48 c) 48 d) 24

Step-by-step explanation:

Answer:

i think the first one

Step-by-step explanation:

Answer:

A. 2x2y +7xy2

Step-by-step explanation:

Answer:

This is only one that includes 12 in its quotient, other quotients are 11 and 13 so I didn't add them :)

47.6/3.9

Step-by-step explanation:

so it is a estimate to 12 not 12 exact

Step-by-step explanation:

sorry

Answer:

6 < x < 30

Step-by-step explanation:

The angle of the side AB = 48 degrees

the angle of the side AD = 2x - 12 degrees

If the angle AD is greater than zero;

  2x -12 > 0

= 2x > 12

= x > 12/ 2

= x > 6

if the maximum angle of AD is equal to angle AB, then;

= 2x -12 = 48

 2x = 48 + 12

2x/ 2 = 60 / 2

x = 30

Therefore, the range of x is; 6 < x < 30

Answer:

b

Step-by-step explanation:

Given y = x² then y = x² + c is a vertical translation of y = x²

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here c = - 12 < 0

Thus y = x² - 12 is the graph of y = x² shifted 12 units down → b

Answer:

b) Shift the graph of y = x2 down 12 units.

Step-by-step explanation:

Graphs

The graph of the function

[tex]y=x^2[/tex]

can be found by giving the variable x some values and calculating the values of y as follows:

For x=-2, [tex]y=(-2)^2=4[/tex]. Point (-2,4)

For x=-1, [tex]y=(-1)^2=1[/tex]. Point (-1,1)

For x=0, [tex]y=(0)^2=0[/tex]. Point (0,0)

For x=1, [tex]y=(1)^2=1[/tex]. Point (1,1)

For x=2, [tex]y=(2)^2=4[/tex]. Point (2,4)

The graph of

[tex]y=x^2-12[/tex]

Can be similarly found:

For x=-2, [tex]y=(-2)^2-12=-8[/tex]. Point (-2,-8)

For x=-1, [tex]y=(-1)^2-12=-11[/tex]. Point (-1,-11)

For x=0, [tex]y=(0)^2-12=-12[/tex]. Point (0,-12)

For x=1, [tex]y=(1)^2-12=-11[/tex]. Point (1,-11)

For x=2, [tex]y=(2)^2-12=-8[/tex]. Point (2,-8)

The graphs are shown in the attached image. It can be clearly seen that the second graph (in blue) is shifted down 12 units with respect to the red graph. Answer:

b) Shift the graph of y = x2 down 12 units.

Answer:

Lol for what

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

square root of a - # does not exist in the set of real numbers

9514 1404 393

Answer:

  x ∈ {1/2, 1, 3, i, -i}

Step-by-step explanation:

We assume your function is supposed to be ...

  f(x) = 2x^5 -9x^4 +12x^3 -12x^2 +10x -3=0

I find it convenient to use a graphing calculator to find the real roots of higher-degree polynomials. The attached shows the real roots are ...

  x = 1/2, 1, 3

Factoring those out leaves the quadratic factor ...

  x^2 +1 = 0

That one has roots ±i.

So, the full complement of roots is ...

  x ∈ {1/2, 1, 3, i, -i}

_____

Descartes' rule of signs tells you the real roots are all positive. The rational root theorem tells you that rational roots are in the set {1/2, 1, 3/2, 3}. The sum of coefficients is 0, telling you that x=1 is a real root.

Factoring that from the polynomial leaves the 4th-degree factor ...

  2x^4 −7x^3 +5x^2 −7x +3 . . . . . division shown in 2nd attachment

For x=1, this has a negative value (-4), so you know there is a root between f(0) =3 and f(1) = -4. The only rational choice is 1/2.

Similarly, factoring that from the polynomial (along with a factor of 2) leaves the cubic ...

  x^3 -3x^2 +x -3 . . . . . division shown in 3rd attachment

This is clearly factorable by grouping to (x -3)(x^2 +1), so we have our third real root and the quadratic that yields the complex roots.

Answer:

7^53

Step-by-step explanation:

8x3=24

24x4=96

96/9=10.6

10.6x5=53

Answer:

7^11

Step-by-step explanation:

There is a rule for simplifying exponents: n^a + n^b = n^a+b.

The rule applies here too. 7 is the n and the exponents on top are a and b. Following the rule:

[tex] {7}^{8} \times {7}^{3} = {7}^{8 + 3} = {7}^{11} [/tex]

Then you continue this formula:

11+4-9+5 = 11

Since the end result is 11 the answer is

[tex] {7}^{11} [/tex]

Answer:

Food problems are fun  :D

Step-by-step explanation:

[tex]\frac{7}{2}[/tex] = [tex]\frac{cheeseburgers}{chicken}[/tex]

chicken =12  sooo..

[tex]\frac{7}{2}[/tex] = [tex]\frac{x}{12}[/tex]

and solve for x.... that is... get x by itself... "isolate x"

12 * [tex]\frac{7}{2}[/tex] = x

6 * 7 = x

42 = x

the restaurant sold 42 cheeseburgers  :P  

Answer:

13 inches ; 2 inches per hour ; 48 inches

Step-by-step explanation:

Given that :

Inches of snow after 2 hours = 4 inches

Since, snow is falling steadily ;

We can infer that:

Inches of snow per hour : (4 in / 2 hrs) = 2 in / hr

Hence, rate of snow fall = 2in /hr

Inches of snow after 6.5 hours

Rate per hour * Numbee of hours

2 * 6.5

= 13 inches

Amount of snow after x hours :

Rate * x

2 * x

= 2x

Inches of snow after 24 hours

2 * 24 hrs = 48 inches

Answer:

it will be 3x+1. it means 3 multiplied by my number plus 1

Answer: Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. For example: Distributive

Multiplication distributes over addition. That is:

∀

Answer:

∠1 = 72°

∠2 = 54°

∠3 = 54°

∠4 = 72°

Step-by-step explanation:

In the isosceles triangle in which ∠4 is the top vertex angle and ∠3 & 54° are it's base angles. As it is an isosceles triangle , ∠3 = 54°

Using angle sum property of a triangle ,

∠4 + ∠3 + 54° = 180°

⇒ ∠4 + 54°+ 54° = 180°

⇒ ∠4 = 180° - 108° = 72°

Diagonals of a rhombus bisect the vertex angles of a rhombus. So,

∠2 = ∠3 = 54°

Also , opposite vertex angles of a rhombus are equal, So , ∠1 = ∠4 = 72°

Step-by-step explanation:

I am explain you in image

Answer:

$36 left

Step-by-step explanation:

42+37=79

115-79=36

Answer:

Average number in a month = 46

Average number in a day = 1.5

Step-by-step explanation:

Given that:

Scientific Dr. Sparks has counted the flashes of lightning around his home for a period of 3 months.

Number of sparks counted in June = 25

Number of sparks counted in July = 51

Number of sparks counted in August = 62

To find:

Average number in a month ?

Average number in a day ?

Solution:

Average of observations can be defined as the ratio of total sum of all the observations to the total number of observations.

[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

Average as per month = [tex]\frac{25+51+62}{3} =\frac{138}{3} = 46[/tex]

To find the average number in a day, we need to first find the number of days.

Number of days in June = 30

Number of days in July = 31

Number of days in August = 31

Total number of days = 92

Average as per month = [tex]\frac{25+51+62}{92} =\frac{138}{92} = 1.5[/tex]