Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.

Answer:

The new price for one pound of apples is $1.44

Step-by-step explanation:

A 10% discount from $1.60 is $0.16, which can be found by multiplying $1.60 by 0.10. To figure out the new price, use the equation: $1.60 - $0.16= $1.44

Step-by-step explanation:

Số gà mái: 24 : 6 x 5 = 20 (con)

Số gà cả đà: 24 + 20 = 44 (con)

=> Tỉ số giữa gà mái và số gà của đàn: 20/44 = 5/11

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!

Answer:

There is significant statistical evidence to suggest there is a difference between the groups

Step-by-step explanation:

The number of adolescents in the sample that were given a pamphlet, n₁ = 10

The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51

s₁² = 16

The number of adolescents in the sample that were given a video, n₂ = 10

The average score of those given a video, [tex]\bar x_2[/tex] = 46

s₂² = 20

The alpha level of the test, α = 0.05

H₀ = No difference

Hₐ = Difference between the groups

The test statistic for the difference in mean is given as follows;

[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]

Plugging in the values, gives;

[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]

The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18

The critical-t = 2.101

Therefore

Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference

Answer:

12 hours

Step-by-step explanation:

Find 20% of 15 hours

15 * 20%

15 * .2

3

Subtract this because his hours are cut

15-3

12

Answer:

[tex]y = 36 - \frac{3}{4}x[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]h = 36in[/tex] --- height of rails

The rate of decrement is: 9 [tex]inches[/tex] for [tex]every[/tex] 12 [tex]horizontal[/tex] [tex]inches.[/tex]

Required

The function

First, we represent the rate (r) as a fraction.

[tex]r = -\frac{9}{12}[/tex] ---- negative, because it decreases

Simplify

[tex]r = -\frac{3}{4}[/tex]

So, the function is:

[tex]y = h + r * x[/tex]

Where:

[tex]x \to[/tex] distance from top

So, we have:

[tex]y = 36 - \frac{3}{4}x[/tex]

Answer:

x = 77

Step-by-step explanation:

x and 103° are same- side interior angles and sum to 180° , then

x + 103 = 180 ( subtract 103 from both sides )

x = 77

Answer:

y=-3x+2

Step-by-step explanation:

distribute and simplify

Answer:

Hay 56 venados en el grupo.

Step-by-step explanation:

En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:

"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"

[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]

[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]

[tex]\frac{7\cdot x}{4} = 99[/tex]

Donde [tex]x[/tex] es el número de venados.

[tex]x = 56.571[/tex]

Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:

[tex]x = 56[/tex]

Hay 56 venados en el grupo.

Answer:

it's AAAAAAAAAAAAAAAAAAA

Answer:

It's A <3

I took the test. ^^

Answer:

45[tex]yd^{2}[/tex]

Step-by-step explanation:

splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.

Answer:

45 yd2

Its a composite shape, so you'll have to "cut" it into basic shapes first.

I've cut it into two rectangles A and B... (see attachment)

Rectangle A on its own would have a l = 5 yd and w = 3 yd

Rectangle B will have l = 15 yd and w = 2yd

Total area = Area of A + Area of B

= (5 × 3) + (15 × 2)

= 15 + 30

=

[tex] {45yd}^{2} [/tex]

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Let  

x----------> Paul and Steve heights

y----------> Theresa height

we know that

1 1/2-------> 3/2---> 1.5

1 1/3-------> 4/3----> 1.33

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

x=1.5y-16-------> equation 1

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height

x=1.33y-6------> equation 2

equals 1 and 2

1.5y-16=1.33y-6

1.5y-1.33y=-6+16

0.17y=10----------> y=58.82 in

x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in

the answer is

Theresa is 58.82 in tall

Step-by-step explanation:

∆COT is congruent with ∆NPA

by rule A.S.S (angles, sides, sides)

Answer:

△COT≅△NPA by SSA

Step-by-step explanation:

Answer:

89.2%

Step-by-step explanation:

Original number of soldiers=500

New number of soldiers=500+60=560

% of original number of soldiers=(500/560)x100=89.2%

Step-by-step explanation:

my answer is in the image and class width is 3

lcu- lower class boundary

Hey buddy I am here to help!

total outcomes r = 36

multiples of 3 = 3,6

total outcomes of multiple fo 3 = 12

12/36 = 1/3

1/3 is the answer

Hope it helps!

Plz mark me brainliest!

Answer:

(2x – 3)(5x^2 – 2x + 7)

=103−192+20−21

Hope This Helps!!!

Answer:

        3

__________

  y ^4  z ^2

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

use the app DESMOS it helps in drawing graphs like this

Answer:

yes because I have no idea what I'm doing

Step-by-step explanation:

idek don't use this

Answer:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

Answer:

y = 2*x + 5

Step-by-step explanation:

En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.

La tabla es:

x:  -2   -1   0   1   2   3

y:   1    3   5   7   9   11

Esto parece ser una relación linear, las cuales se escriben como:

y = a*x + b

Donde a es la pendiente y b es la ordenada.

Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.

SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:

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

Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:

a = (5 - 3)/(0 - (-1)) = 2/1 = 2

Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:

y = 2*x + b

Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.

Si usamos el segundo punto, (-1, 3)

esto significa que cuando x = -1, tenemos y = 3

Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:

3 = 2*-1 + b

3 = -2 + b

3 + 2 = b

5 = b

Entonces la ecuación es:

y = 2*x + 5

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

Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

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

Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

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

In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

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

At this point, we have the system of equations

[tex]\begin{cases}y = x+1\\y = -3x+9\end{cases}[/tex]

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

If your asking to select all that apply, The formula is arc length = θ ( r ) {\displaystyle {\text{arc length}}=\theta (r)} , where equals the measurement of the arc's central angle in radians, and r {\displaystyle r} equals the length of the circle's radius. Plug the length of the circle's radius into the formula.ABC,BAD,DCB

More

For the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C

For a circle, take two points on its circumference. That divides the circumference of the considered circle in two parts. Those both parts are called arcs of the circle. The bigger part will be called the major arc, and the smaller one will be called the minor arc.

When the two points are chosen such that they're the endpoints of one of the diameters of the considered circle, then both the arcs are of same length due to symmetry, so there is no concept of major or minor between them.

For this case, there are 5 points, as A, B, C, D, and E.

Since no option is given, so let we take two points which are not on the ends of any diameter.

The points A and B are good enough.

So, the smaller part of the circumference between A and B is the minor arc and the bigger part which contains points like E, D and C is the major arc.

A demonstration is given in the image attached below.

Thus, for the points A and B, the major arc is the part of the circumference from A to B which contains the points E, D and C (the bigger part).

Learn more about major and minor arcs here:

https://brainly.com/question/9288523

Answer:

sorry

i

dont

know

how

to

do

it

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x)

Also, for definition, we usually define:

for K > 1, this is an "stretch" or "dilation"

for 0 < K < 1, this is a "contraction"

Here we have:

f(x) = ∛(x + 4)

We want to find an option that is a vertical stretch from this:

So we want something like:

g(x) = K*∛(x + 4)

With K > 1

Then the correct option is B, where we have K = 2, so this is a vertical stretch of scale factor K = 2.

Answer:

B) Unequal

Step-by-step explanation:

yun po yung sagot

p follow po at pa rate at heart

Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5

Step-by-step explanation:

Answer:

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x = 20 students

Step-by-step explanation:

In a class of 37 students, the number of students who like marshal arts only is

double than the number of students who like athletics only. If 3 students like both

and 4 like none of the games, find out how many students like:

i. Marshal arts

ii. Athletics​

Total students in the class = 37

number of students who like Athletics only = x

number of students who like marshal arts only = 2x

Number of students who like both = 3

Number of students who like none = 4

Total = athletics + marshal art + both + none

37 = x + 2x + 3 + 4

37 = 3x + 7

37 - 7 = 3x

30 = 3x

x = 30/3

x = 10

number of students who like Athletics only = x = 10 students

number of students who like marshal arts only = 2x

= 2(10)

= 20 students