Convert 2.25 to a mixed number and an improper fraction. Write answers in the simplest form.

a WHOLE is always simplified to "1", namely 100/100 = 1, 57/57 = 1 and so on.  Well, in this case we have a total of 21 students, so 21/21 is all of them, their "whole", but we also know that 6 of them read about animals and the rest about plants, so

[tex]\stackrel{whole}{\cfrac{21}{21}}\qquad \qquad \cfrac{\stackrel{animals}{6}~~ + ~~\stackrel{plants}{15}}{21}\implies \cfrac{6}{21}~~ + ~~\stackrel{plants}{\cfrac{15}{21}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{15}{21}\implies \cfrac{3\cdot 5}{3\cdot 7}\implies \cfrac{3}{3}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \boxed{\cfrac{5}{7}}[/tex]

Answer:

I think its 5 over 7

Step-by-step explanation:

because 6-21 equals 15 so 15 is how many read about plants out of the total students at the library which is 21.if you divide 15 over 21 by 3 you get 5 over 7

Answer:

7[tex]\sqrt{5}[/tex]

Step-by-step explanation:

the legs of a 45°- 45°- 90° triangle are congruent , then

one leg = 7[tex]\sqrt{5}[/tex]

the other leg = 7[tex]\sqrt{5}[/tex]

Reason:

When two lines cross to form an X shape, the opposite pairs of angles are known as vertical angles. They are always congruent to one another.

They do not have to be vertically aligned (meaning the angles could be sitting side by side). Example: In problem 15, angle 1 and angle 3 are vertical angles that are congruent.

Answer:

b.

$81.25

Step-by-step explanation:

taking it rn

Answer:

b 81.25

seen it on quizlet

Step-by-step explanation:

Answer:

e = 70

Step-by-step explanation:

2e - 13 + 8 = 135

2e - 5 = 135

2e = 135 + 5

2e = 140

divide both sides by 2

e = 70

Answer:

A=4

B=-2

Step-by-step explanation:

the gradient to B is a negative coz the line is sloping downwards

Answer:

m (A) = 4

m (B) = - 2

Step-by-step explanation:

choose any 2 coordinates on line A to use it in the formulae

no need to do so for line B because the y-int and x-int both are clear.

Answer:

Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2

Step-by-step explanation:

so it's B or jessi work

Answer:

[tex]\boxed{a = 6.4}[/tex]

Step-by-step explanation:

Given:

[tex]x:y = (4):(5)[/tex]

Let the value of "x" be known as "a".

[tex]x:y = a:8[/tex]

Setting up the proportion:

[tex]\rightarrow 4:5 = a :8[/tex]

Multiplying the middles and the extremes:

[tex]\rightarrow 5a = 4 \times 8[/tex]

Simplifying the RHS:

[tex]\rightarrow a = \dfrac{4 \times 8}{5}[/tex]

[tex]\rightarrow \boxed{a = 6.4}[/tex]

Thus, the value of x is 6.4 when y is 8.

Answer:

[tex]\sf x=\dfrac{32}{5}[/tex]

(or x = 6.4 if you want it in decimal form)

Step-by-step explanation:

If y and x have a proportional relationship, then:

Given:

Substitute the given values into the equation to find k:

⇒ 5 = k(4)

⇒ k = 5/4

Therefore, [tex]\sf y=\dfrac54x[/tex]

When y = 8, substitute y = 8 into the equation and solve for x:

[tex]\sf \implies \dfrac54x=8[/tex]

[tex]\sf \implies x=8 \cdot \dfrac45[/tex]

[tex]\sf \implies x=\dfrac{32}{5}[/tex]

Answer:

h = 25 cm

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

given A = 450 and b = 18 , then

18h = 450 ( divide both sides by 18 )

h = 25

Answer:

h = 25cm

Step-by-step explanation:

Answer: C, D, and F

-> C. Quadrilateral

-> D. Parallelogram

-> F. Rectangle

Step-by-step explanation:

-> A. Square

     [✗] A square needs 4 congruent sides, this only has "two sets of two"

-> B. Trapezoid

     [✗] A trapezoid has one pair of parallel sides, but this shape has two

-> C. Quadrilateral

     [✓] This shape has four sides

-> D. Parallelogram

     [✓] This shape's opposite sides are congruent and parallel

-> E. Rhombus

     [✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent

-> F. Rectangle

     [✓] This shape has four sides, and it's opposite sides are congruent

Given -

ps - use 3.14 for π

To find -

Solution -

We know to find the circumference of a circle we use the formula C=2πr.

Doing the same,

C = 2 × 3.14 × 2

C = 12.56 feet

[tex]\sf\large\underline{Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of the circle = 2 ft.

[tex]\rightarrow[/tex] Value of Pie(π) = 3.14

[tex]\sf\large\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Circumference of the circle.

[tex]\sf\large\underline{Formula \: Used:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex]

[tex]\sf\large\underline{Solution:-}[/tex]

[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex](putting the value of π and r from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=2×3.14×2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=12.56\: ft.}[/tex]

Therefore, circumference of the given circle = [tex]\sf{12.56\: ft.}[/tex]

_____________________________

Hope it helps you:)

Percentage Change = (new rate - old rate) / (old rate)

New Rate = 11.5

Old Rate = 10

(11.5 - 10) / 10

1.5 / 10 = 15 / 100 = 0.15 = 15%

The percentage change in her hourly rate is 15%.

Hope this helps!

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

Answer:

Given equation: x + 2y = 7

Rearrange the given equation to make y the subject:

      [tex]\sf x + 2y = 7[/tex]

[tex]\sf \implies 2y=7-x[/tex]

[tex]\sf \implies y = \dfrac12(7-x)[/tex]

Now input the given x-values into the equation to determine the y-values:

[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]

[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]

[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]

[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]

[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]

[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]

As ordered pairs: (-2, 4.5)  (-1, 4)  (0, 3.5)  (1, 3)  (2, 2.5)  (3, 2)

Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.

[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]

Answer:

4200

Step-by-step explanation:

I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.

Answer:

B.75

Step-by-step explanation:

Answer:

The interior angles are approximately 64.02 degrees and approximately 115.98 degrees

The drawing is below.

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

Explanation:

A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.

Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5

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

Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine  the value of x.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]

Angle x is roughly 32.01 degrees.

Make sure your calculator is in degree mode.

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

Similar steps can be done to find the value of y.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]

Or you could use the value of x to compute y like this

x+y = 90

y = 90 - x

y = 90 - 32.005383

y = 57.994617

y = 57.99

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

Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.

The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees

Notice how 2x+2y = 64.02+115.98 = 180

For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).

Answer:

55 sq meters

Step-by-step explanation:

Area of big triangle 7x5=35/2

but there's two big triangle so 35/2 x 2 =35

area of small triangle 5x4=20/2 10

10 x 2 =20. And then combine 20+35=55

So the area is 55 sq meters.

Answer:-7/8>-0.60

C is not true

Answer:

55.5

Step-by-step explanation:

First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111  111 divided by 2=55.5.

The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.

Percentage increase is the amount added to the initial value of a product in the percentage part.

The percentage increase over a year can be found out using the compound interest formula,

[tex]A=P(1+\dfrac{r}{100})^n[/tex]

Here, (A) is the final amount (P) is the principal amount, (r) is the rate and n is the time period.

Aria paid $75,000 for her house. its property value increased by 2.2% per year.  The time period is 11 years. Put these values in the above formula as,

[tex]A=75000(1+\dfrac{2.2}{100})^{11}\\A=95284.3[/tex]

To the nearest, a hundred dollars,

[tex]A=95300[/tex]

The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.

Learn more about the percentage increase here;

https://brainly.com/question/22444616

Answer: incase you're still confused, the answer is $95,300. Hope this helps <3

The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear equation is given below.

–12 + 3b – 1 = –5 – b

The value of b will be given as

Add b both sides, we have

–12 + b + 3b – 1 = –5 – b + b

           –13 + 4b = –5

Add 13 on both sides, we have

13 – 13 + 4b = – 5 + 13

              4b = 8

Divide both sides by 4, we have

b = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

The fourth option, 2

x / 33 = 40 / 24

x = 40 / 24 * 33 = 55

Answer:

600km/h

546.807 fps

0.1666667 km/s

Step-by-step explanation:

Use which ever unit youd want to in this scenereo, I'd use 600km/h

3000 / 5 = 600

Answer:

1. 200

2. 50

Step-by-step explanation:

1. you put 10 over 5 as a proportion with x over 100 on the other side

2. you put 5 over 10 as a proportion with x over 100 on the other side

The coordinates of Omega house is (3/2, 1)

Data;

To find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium

[tex]x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})[/tex]

We can substitute the values and solve for both x and y coordinates.

[tex]x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}[/tex]

The value of the y-coordinate is

[tex]y = \frac{-5+ 3}{2} = 1[/tex]

The coordinates of Omega house is (3/2, 1)

Learn more on midpoint of a line here;

https://brainly.com/question/5901621

Answer:

yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)

Step-by-step explanation: