A person can order a meal in 60 different ways.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks.
Here we will use the combination of the data.
To answer this we just need to multiply 3 x 4 x 5.
3 x 4 x 5 = 60
Therefore, 60 ways can a person order a meal.
Learn more about multiplications;
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what is the area of this trapezoid pls tell me if IN or IN^2 also!!!
Answer:
20 in^2
Step-by-step explanation:
(base 1 + base 2) * height
then divide that by two
An athlete consumed 4,000 calories yesterday. Today, she consumed 3,800 calories. What is the percent change in number of calories consumed. Was this a percent increase or decrease? Round to the nearest percent.
The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?
Answer:
$1.91 per bottle :)
Step-by-step explanation:
mathematical literacy
[tex]79 \times 85[/tex]
Answer:
6715
Step-by-step explanation:
I hope this helps, :)
Use the graph to answer questions 1-5
1) What are the x-intercepts of the
parabola?
2) What is the vertex of the parabola?
3) What is the equation of the axis of
symmetry of the parabola?
4) What is the equation of the function in vertex form?
Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?
Answer:
[tex]Area = 287\ in^2[/tex]
Step-by-step explanation:
Given
[tex]Length = 20.5[/tex]
[tex]Space = 4.25[/tex]
[tex]Panels = 3[/tex]
See attachment
Required
The area of one panel
From the attachment, the total width is 50.5in.
i.e.
[tex]Total\ Width = 50.5[/tex]
Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.
The reduced width is:
[tex]Reduced\ Width = 50.5 - 2 * 4.25[/tex]
[tex]Reduced\ Width = 42[/tex]
At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).
[tex]Width = \frac{42}{3}[/tex]
[tex]Width = 14[/tex]
The area of one is:
[tex]Area = Length * Width[/tex]
[tex]Area = 20.5 * 14[/tex]
[tex]Area = 287\ in^2[/tex]
3x = -6у + 3
2y = -x+1
Answer:
3x = -6у + 3 and 2y = -x+1 are the same
i dont know what the question is but this should help. they are the same line on a graph
Step-by-step explanation:
3x = -6y + 3
2y = -x + 1 adding x on both sides and subtracting 2y on both sides
x = -2y + 1 multiply by 3
3x = -6y + 3
yall someone help I still have a bunch if other test and I'm so tired ;-;
answer choices
new printer prints seven more pages per minute than the old printer
the new printer prints 15 more pages per minute than the old printer
the new printer prints 100 pages about 2.7 minutes faster than the old printer
the new printer prints 100 about 4.0 minutes faster than the old printer
the new printer prints 100 pages about 6.7 minutes faster than the old printer
Me das mas información?
Write the equation of the line which passes through (1, 2) and with slope of −1/3
in standard form.
Answer:
x + 3y = 7Step-by-step explanation:
The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = -¹/₃
(1, 2) ⇒ x₁ = 1, y₁ = 2
Therefore, the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:
y - 2 = -¹/₃(x - 1)
y - 2 = -¹/₃x + ¹/₃ {add ¹/₃x to both sides}
¹/₃x + y - 2 = ¹/₃ {add 2 to both sides}
¹/₃x + y = 2¹/₃ {multiply both sides by 3}
x + 3y = 7
Solve for y. 2(2y+6)=28
Answer:
y=4
Step-by-step explanation:
2(6 + 2y) = 28
(6 x 2 + 2y x 2) = 28
(12 + 4y) = 28
12 + 4y = 28
12 + -12 + 4y = 28 + -12
12 + -12 = 0
0 + 4y = 28 + -12
4y = 28 + -12
28 + -12 = 16
4y = 16
16\4
y = 4
The Polygons are similar. Find the value of x.
Answer:
13
Step-by-step explanation:
8/2=16/4
=4
x-3=2.5*4
x=10+3
x=13
Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors. How much of the original sand which did pete take to his neighbors.
Answer:
1/2
Step-by-step explanation:
Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.
This is calculated as:
1/2 × 5/6
= 5/12
Hence, he took 5/12 of the sand
How much of the original sand which did pete take to his neighbors.
Let the original sand be represented as 1
Hence:
5/6 = 5/12 sand
1 = x
Cross Multiply
5/6x = 1 × 5/12
x = 5/12 ÷ 5/6
x = 5/12 × 6/5
x = 1/2
Therefore, pete took 1/2 of the original sand to his neighbors.
X-square root of x-2=4
The equation that describes the relationship is y =
Answer:
Y=4/6X ( or u can write it as Y=1.5X) .
Hope it was helpful for you .
finding the area, ty
Write the series using summation notation: -1 +4-9+ 16 - 25+ ...
5 less than 3 times a number y. Please help.
Answer:
3y-5 would be your equation
Step-by-step explanation:
Answer:
H-u-H?!
Step-by-step explanation:
what is the value of x?
Answer:
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
Don abel tiene una malla de 100m de longitud para hacer un cerco . Y quiere hacer in corralon de forma rectangular no sabe todavia de que fimensiones hacerlo pues quiere que sus cuyes tenhsn el mayor terrebno posible ¿ de que medidas se puede construir el corral rectangular usanfo los 100m de malla ?
Answer:
Don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Step-by-step explanation:
Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:
[tex]A = w\cdot l[/tex] (1)
[tex]p = 2\cdot (w+l)[/tex] (2)
Donde:
[tex]A[/tex] - Área, en metros cuadrados.
[tex]p[/tex] - Perímetro, en metros.
[tex]w[/tex] - Ancho, en metros.
[tex]l[/tex] - Longitud, en metros.
Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):
[tex]w = \frac{p}{2}-l[/tex]
Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:
[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]
[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)
A continuación, obtenemos la primera y segunda derivada de (3):
[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)
[tex]A'' = -2[/tex] (5)
Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:
[tex]\frac{p}{2}-2\cdot l = 0[/tex]
[tex]2\cdot l = \frac{p}{2}[/tex]
[tex]l = \frac{p}{4}[/tex]
Por (5), sabemos que ese valor crítico está asociado al área máxima.
Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:
[tex]l = 25\,m[/tex]
Ahora, tenemos el ancho de la figura por (2):
[tex]w = \frac{p}{2}-l[/tex]
[tex]w = 25\,m[/tex]
En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Help me out please?
Answer:
perpendicualr
Step-by-step explanation:
Tell me if you can’t see it I’ll tell you the answers!!
Answer:
I can't see it
Step-by-step explanation:
Answer:C
Step-by-step explanation: it’s 3/15, meaning, for example, taking 3 chocolate bars from a bunch of 15
The mass of a dolphin is 2 × 102 kilograms. The mass of an orca is 1 × 104 kilograms. About how many times as much mass does the orca have than the dolphin?
Answer: 100
Step-by-step explanation:
2 x 102 = 204 and 1 x 104 = 104.
204 — 104 = 100.
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue
Answer:
Use 1.75 cups of blue and 1 cup of yellow
Step-by-step explanation:
The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.
A girl walks 5,000 meters in one hour. If the girl walks at the same speed for 4 hours, how many kilometers will she have walked?
What is the perimeter of the track, in meters?
Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
I believe the answer is 426.08 meters.
Step-by-step explanation:
To find the perimeter, break the shape into a rectangle and two semicircles. As two semicircles make one circle, you can do 72×3.14 to get 226.08. Then, add the length of the rectangle. 100+100=200. Finally, do 226.08+200 to get your answer.
I hope this helped!
pls pls pls, help!!!!!!
I believe the answer is C: 36 meters.
If this is incorrect, please, don't refrain to tell me. Thank you.
Please help I really don’t understand this question
Answer:
I will explain it to you in a jiffy ok? Can you wait a sec
Such as 0.5, has a finite number of digits.
a. terminating decimal
b. repeating decimal
Answer: terminating decimal
Step-by-step explanation: :)
HEY PLEASE HELP. The student's savings box had accumulated 35 twenty and fifty cent coins in one month, in the total amount of 10.3 euros. Several 20 and several 50 cent coins are in the box.
Answer: 11 and 24
Step-by-step explanation:
Given
There are 35- 50 cents and 20 cents coins
The total of them is 10.3 euros
Suppose no of 50 cents coins is x and 20 cents is y
so we can write
[tex]\Rightarrow 0.5x+0.2y=10.3\quad \ldots(i)[/tex]
Also,
[tex]\Rightarrow x+y=35\quad \ldots(ii)[/tex]
Solving (i) and (ii) we get
[tex]x=11; y=24[/tex]
There are 11 fifty cent and 24 twenty cents coins
A middle school has 200 boys and 300 girls enrolled in the seventh-grade. The principal randomly selects 45 seventh-grade students to take a lunch survey. How many of the seventh-grade students selected for the survey should the principal expect to be boys?
Answer:18
Step-by-step explanation:
Given
The school has 200 boys and 300 girls
The ratio of boys and girls is 2:3
If 45 seventh grade students are selected then the ratio of boys and girls remain the same
suppose there are 2x boys and 3x girls, such that ratio is 2:3
[tex]\Rightarrow 2x+3x=45\\\Rightarrow 5x=45\\\Rightarrow x=9[/tex]
No of the boys are [tex]2x=2\times 9=18[/tex]
Answer:
18
Step-by-step explanation:
what the another person said