Answer: 230 - the total amount of sweets.
Step-by-step explanation:
Adrian received 8 pieces of sweets;
Ben got 5 pieces of sweets;
Charlie received 10 pieces of sweets.
The sum of all parts:
8 + 5 + 10 = 23
Let's calculate how many parts Charlie got more than Adrian:
10 - 8 = 2
It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.
20 : 2 = 10
Now we can calculate the total amount of sweets:
10 × 23 = 230
PLEASE HELP PLEASE PLEASE PLEASE
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]
What is the equation of the line graphed below? Y +1= -3(x-1)
Answer:
y=-3x+2
Step-by-step explanation:
distribute and simplify
how to solve (-6y^-3z^-3)(-1/2y^-1z)
Answer:
3
__________
y ^4 z ^2
Step-by-step explanation:
The measure of
degrees
Answer:
yes because I have no idea what I'm doing
Step-by-step explanation:
idek don't use this
Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.
A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).
Which statement is supported by the graphs?
Answer:
it's AAAAAAAAAAAAAAAAAAA
Answer:
It's A <3
I took the test. ^^
Need answer ASAP pls it’s important
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!
Given that AABC~ ADEF, solve for x.
Answer:
D.7
because in similar triangle the corresponding sides are proportionalStep-by-step explanation:
30/5 =42/X
Criss cross and X=(42X5)/30=7
The value of x will be,
⇒ x = 7
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangles ABC and DEF are similar.
Now, By definition of proportionality we get;
⇒ AB / BC = DE / EF
⇒ 30 / 42 = 5 / x
⇒ 30x = 5 × 42
⇒ 30x = 210
⇒ x = 210 / 30
⇒ x = 7
Thus, The value of x will be,
⇒ x = 7
Learn more about the triangle visit;
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Which region represents the solution to the given system of inequalities?
{+3y < -3
{ x > 3
Step-by-step explanation:
the answer is in the above image
use the app DESMOS it helps in drawing graphs like this
1 2 3 4 5 6 7 8 9 10
TIME REMAINING
58:09
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).
A table titled Fiona's Product with 2 columns and five rows. The first column is labeled steps with 4 steps shown. The second column is labeled result and shows 5 result expressions.
In which step did Fiona make an error?
Step 1
Step 2
Step 3
Step 4
Answer:
(2x – 3)(5x^2 – 2x + 7)
=103−192+20−21
Hope This Helps!!!
Universal Studios is looking to expand in Ontario. The new theme park will be located equidistant to
Newmarket, N (2,8), Markham, M (7,3) and Vaughan, V (-2, 0). Determine the location of the new
theme park if it is located at the point of intersection of the perpendicular bisectors.
===============================================
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.
a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is 12 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.
Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{l}[/tex] ( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = [tex]\frac{12}{cos70}[/tex] ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle’s name blank and write CNBD for “Cannot be determined” in place of the rule.
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:
Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11
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
Mary went to the shop and bought two patties for $190 each and three Orange juice for $375. If she pays her bill with two $500 notes, what amount does she receive in change?
Answer:
$55
Step-by-step explanation:
Spending
3*190 + 375 = 945
Change = cash paid - spending
500 * 2 - 945 = 55
$55
in a class of 37 students,the number of students who like martial art only is double than the number of students who like athletics only .if students like both 4 like none of the games . find how many students like
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
in circle p, which arc is a major arc?
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
What is arc in a circle and what are its classifications?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:
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Now that you know Theresa's height, find Paul's and Steve's height. Plug Theresa's height into the expressions for Paul's height and Steve's height. How tall are they each in inches? Are they both the same height?
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
Find the measures of all the angles in the rhombus shown below.
31
1
5
2
4
3
1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).
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
Find the coordinates of the points on the graph of y= 3x - 16
Answer:0,-16; 1, -13; 2, -10; 3,-7; 4, -4; 5,-1; 6,2; 7,5
Step-by-step explanation:
Three sides of a triangle measure 25 inches, 24 inches, and 7 inches. Which statement about the side lengths is correct?
Answer:
Well this needs more of a discription. I would say that 25 inch is the hypotenuse and the lenght is 24 inches. 7 inches is the width
Luis camina 2 kilómetros hacia el sur y luego un cierto número de kilómetros hacia el este. Termina a 5 kilómetros de su posición inicial. ¿Cuántos kilómetros caminó Luis hacia el este?
Answer:
camino 5 kilometros
Step-by-step explanation:
2-3+5
What is 700,000+900+60+7 in standard form
Step-by-step explanation:
here is the answer for your question
There are 14 birds sitting on a wire. One-half of the birds are black. How many black birds are sitting on the wire?
Answer:
7
Step-by-step explanation:
There are 14 birds sitting on the wall
One half of the birds are black
Therefore the number of black birds can be calculated as follows
= 14×1/2
= 14×0.5
= 7
Hence 7 birds are black
Find mode.
Mathematics ClassX
Step-by-step explanation:
my answer is in the image and class width is 3
lcu- lower class boundary
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = –StartFraction 3 Over 4 EndFractionx + 36 y = –3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36
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]
Một dàn gà có 24 con gà trống và bằng 6 phần 5 số con gà mái. Tỉ số giữa số gà mái và số con gà của đàn.
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
Help on this anyone ?
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
In a camp, there were 500 solders. 60 more solders joined them. What percent of the earlier (original) number have joined?
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%
A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism?
Answer:
3800
Step-by-step explanation:
Volume= Length x width x height
v=20x19x10
v=3800 inches²
Brainliest please