Answer:
p = 30, n = 7, a = 15
Step-by-step explanation:
Let's say that p is the amount of stuffies Peyton sold, n is the amount of stuffies Nathan sold, and a is the amount of stuffies Alexandra sold.
Peyton sold two more than four times the stuffies Nathan sold.
This means that: p = 2 + 4n (n = (p-2)/4)
Each stuffie was sold for $2.50. Together they fundraised $130.Alexandra sold half as many stuffies as Peyton.
This means that: a = p/2
Each stuffie was sold for $2.50. Together they fundraised $130.
This means that: 2.50p + 2.50n + 2.50a = 2.50(p + n + a) = 130
We can make the equation in terms of p by substituting a and n.
2.50(p + n + a)
= 2.50(p + (p-2)/4 + p/2)
= 2.50(4p/4 + (p-2)/4 + 2p/4) [Make the p's have a denominator of 4]
= 2.50((4p + p - 2 + 2p)/4)
= 2.50((7p-2)/4)
= 5/2 * (7p-2)/4
= 5(7p-2)/8
= (35p-10)/8 = 130
35p-10 = 1040
35p = 1050
p = 30
n = (30-2)/4
= 7
a = 30/2
= 15
Kevin buys the items listed below at a grocery store. 3 packages of chicken priced at $12.36 per package 12 pound of broccoli priced at $1.98 per pound 1 gallon of milk priced at $6.48 per gallon There is no sales tax on the food she buys. Susan pays for the items and receives $0.45 in change. What amount of money does Kevin use to pay for the items?
Answer:
67.77$ Kevin use to pays for the items.
Step-by-step explanation:
According To the Question, We have
Kevin buys the item listed below at a grocery store
3 Packages of chicken priced 12.36$ per package = 12.36×3=37.08$12 Pound of Broccoli Priced 1.98$ per pound = 1.98×12 = 23.76$1 gallon of milk priced 6.48$ per gallon = 6.48×1 = 6.48$Now, Kevin Pays for the items and receives 0.45$ in Change.
Amount of Money Kevin Pays
6.48$+23.76$+37.08$+0.45$ = 67.77$
Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False
Answer: True
Step-by-step explanation:
We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer
Therefore if you add the 38 the 52 and the 90 you’ll get 180
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.
The angle of triangles ABC and XYZ is;
∠A= 180° -(90+52) = 38°
∠B= 90°
∠C=38°
∠X=38°
∠Y=90°
∠Z=180° -(90+38°) = 52°
∠B =∠Y=90°
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.
Hence, option A is correct.
To learn more about the congruent triangle refer;
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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
Express 120 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
2 x 2 x 2 x 3 x 5
Step-by-step explanation:
The first and smallest prime number that can be divisible by 120 is 2; 120/2 = 60, 60/2 = 30, 30/2 = 15; and the smallest prime number divisible by 15 is 3; 15/3 = 5; and the smallest prime number divisible by 5 is 5; 5/5 = 1.
hence, we have 2 x 2 x 2 x 3 x 5 = 2³ x 3 x 5
If xy= 180 and HCF (x,y) = 3, then find the LCM (x,y)
tell the answer of LCM (x,y)
Answer:
Step-by-step explanation:
LCM×HCF= Product
LCM×3=180
LCM=180/3=60
HELP PLEASE! 50 points
Answer:
D. 270°Step-by-step explanation:
mADC = 360° - m∠AOCmADC = 360° - 90° = 270°Correct choice is D
Answer:
D. 270°
Step-by-step explanation:
out of 75 student 3 were a scent what percentage was present
Answer:
To find a percentage, divide the number present by the total number of students, then multiply that number by 100.
Answer:
96% were present.
Step-by-step explanation:
75/100 , 72/? Find percent (?)
(72*100 / )75
96%
how many eggs are 5 dozen
Answer:
A dozen is 12.
12*5 = 60 eggs
5 dozen eggs are equal to 60 eggs.
A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.
When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.
To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):
5 dozen x 12 eggs/dozen = 60 eggs
Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.
To learn more about multiplication;
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39.63+0.30=24.45+0.80
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]
[tex]\large\textsf{39.63 + 0.30}[/tex]
[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]
[tex]\large\textsf{24.45 + 0.80}[/tex]
[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]
[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which term best describes a major arc of a circle that has the same starting
and ending point?
A. Diameter
B. Chord
O
C. Radius
D. Circumference
Answer:
Circumference! it's the major arc whose starting and ending point coincide.
can you plz answer plz!?
Answer:
1. mode
2. median, mode, mode interval
3. stem and leaf graph
4. not sure (try using a median calculator)
5. 80 or 90 (not exactly sure)
Step-by-step explanation:
Can someone explain how to do this?
Answer:
x = 32°
Step-by-step explanation:
The two angles form a straight line, so therefore they are supplementary.
The sum of supplementary angles always equal 180°, so we know that:
(3x - 4) + (3x - 8) = 180°
Now you have the equation, solve for x.
3x - 4 + 3x - 8 = 180°
6x - 12 = 180°
6x = 192°
x = 32°
Answer:
3x-4+3x-8=180
3x+3x=180+4+8
6x=192
x=32
check: 3(32)-4+3(32)-8=180
Circumference of the circle with the radius 10mm? Use pi 3.14
Answer:
62.8 mm
Step-by-step explanation:
pie = 3.14
radius = 10 mm
circumference of a circle = 2πr
=2*3.14*10
=62.8 mm
hi i need help with this 2 questions ASAP its due in 5 minutes and I'm begin from the 24 questions HELLLLLPPPPP
Answer:
6-1 7-3
Step-by-step explanation:
How many mLs are in 1300mG
Answer:
1.3 mL
Step-by-step explanation:
1 mg = 0.001 mL
1300 mg * 0.001 mL/mg = 1.3 mL
X 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified? x3 + 5x2 + 5x – 2 x3 + 2x2 + 8x – 2 x3 + 11x2 – 2 x3 + 10x2 – 2
Answer:
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]
Step-by-step explanation:
Given
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]
Required
The equivalent expression
We have:
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2)[/tex]
Open bracket
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 + 6x^2 - 2x + 2x^2 + 12x -4[/tex]
Collect like terms
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 6x^4 + 3x^4- 2x^3 -x^3 + 18x^3 - 6x^2 + 6x^2 + 2x^2- 2x + 12x -4[/tex]
Evaluate like terms
[tex](x^3 + 3x^2 - x + 2)(x^2 + 6x -2) = x^5 + 9x^4+ 15x^3 + 2x^2 + 10x -4[/tex]
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
Point A is a representation of which number on the number line?
What are the five key points that you need to find for any given set of numbers in order to draw a Box plot for the data. Write the answer. Help
The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.
I really don't understand this.
Answer:
parang wla po yung answer
Step-by-step explanation:
Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9
First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:
2x−3y+8=0
⇒−3y=−2x−8
⇒3y=2x+8
⇒y=
3
2
x+
3
8
Therefore, the slope of the line is m=
3
2
.
Now since the equation of the line with slope m passing through a point (x
1
,y
1
) is
y−y
1
=m(x−x
1
)
Here the point is (2,3) and slope is m=
3
2
, therefore, the equation of the line is:
y−3=
3
2
(x−2)
⇒3(y−3)=2(x−2)
⇒3y−9=2x−4
⇒2x−3y=−9+4
⇒2x−3y=−5
Hence, the equation of the line is 2x−3y=−5.
Answer:
y=2/3x-11/3
Step-by-step explanation:
Hi there!
We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)
Parallel lines have the same slopes
So we need to first find the slope of 2x-3y=9
We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To do this, we need to isolate y on one side
2x-3y=9
subtract 2x from both sides
-3y=-2x+9
divide both sides by -3
y=2/3x-3
as 2/3 is in the place where m is, 2/3 is the slope of the line
It's also the slope of the line parallel to it that passes through (4,-1).
Here's the equation of that line so far:
y=2/3x+b
now we need to find b
as the line will pass through the point (4,-1), we can 4 as x and -1 as y in order to solve for b
-1=2/3(4)+b
multiply
-1=8/3+b
subtract 8/3 to both sides
-11/3=b
Substitute -11/3 as b into the equation
y=2/3x-11/3
There's the equation
Hope this helps!
Which theorem would be used to write 15x + 12 + 117 = 180 in the diagram below?
a. Alternate Interior Angles Theorem
b. Corresponding Angles Theorem
c. Consecutive Exterior Angles Theorem
d. Vertical Angles Theorem
Answer:
C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent
Answer:
B
Step-by-step explanation:
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
The pyramid ABCDE has a square base. the pyramid is 20cm high and each sloping edge measures 30cm. calculate the length of the sides the base
Answer:
44.8 cm
Step-by-step explanation:
Vertical height (h) = EM = 20 cm
Slant height (l) = 30 cm
This two heights form a right angle at the interception at the base. Thus, we have a right angle triangle.
The length of the sides of the base = 2 × the base of the right triangle
✔️Use Pythagorean theorem to find the base of the right triangle formed. Thus: c² = a² + b²
a = base of the triangle
b = h = 20 cm
c = l = 30 cm
Plug in the values
30² = a² + 20²
a² = 30² - 20²
a² = 500
a = √500
a = 22.4 cm
✔️length of the sides of the base = 2 × the base of the right triangle
= 2 × a
= 2 × 22.4
= 44.8 cm
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
Step-by-step explanation:
First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle
in ΔDEF we have 180 -68 -81 = 31°
in ΔABC we have 180 -68 -33 = 79°
the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.
-3x+20+7x=80 what is x? and how do I get it?
Answer:
x = 15
Step-by-step explanation:
-3x+20+7x=80
Combine like terms
4x+20 = 80
Subtract 20 from each side
4x+20 -20 = 80-20
4x = 60
Divide by 4
4x/4 = 60/4
x = 15
Which could be the missing data item for the given set of data if the median of the complete data set is 65?
66, 43, 35, 78, 74, 37, 65, 66, 76, 78, 80, 43, 56, 60
A. 71
B. 75
C. 69
D. 50
Answer:
B.) 75
Step-by-step explanation:
Answer: B 75
Step-by-step explanation:
Solve for x
-12 = 4(x – 5)
X =
Answer:
-12=4x-20
4x=12+20
4x=32
4 = 4
x=8
Answer:
[tex] - 12 = 4(x - 5) \\ - 12 = 4x - 4 \times 5(bracket \: multipiction) \\ - 12 = 4x - 20 \\ - 12 + 20 = 4x\\ 8 = 4x \\ x = \frac{8}{4} = 2 \\ x = 2 \\ thank \: you[/tex]
What is the solution to the equation
[tex] \frac{1}{4} x + 2 = - \frac{5}{8}x - 5 [/tex]
Please help me solve my problem!!!
