Answer:
96 eggs
Step-by-step explanation:
A dozen is equal to 12 eggs, so 15 dozen is equal to 180 eggs
(Because 15*12 = 180)
We already know how many eggs are required for the 1st cake: 12 eggs.
Then it says "each successive cake needs twice as many eggs as the previos cake".
(Successive means the cake directly after the previous cake)
Here's how we find the number of eggs needed for the 2nd cake:
The 1st cake needed 12 eggs, and because the 2nd cake is directly after the 1st cake, we are going to need two times the amount of 12 eggs.
This equation represents the above scenario:
12*2 = 24
So we need 24 eggs for the 2nd cake.
Now we repeat this process for the 3rd cake, finding twice the amount of eggs from the 2nd cake to find the amount of eggs needed for the 3rd cake:
24*2 = 48
And we repeat it once more for the 4th cake, using the eggs from the 3rd cake:
48*2 = 96
So here's the list of how many eggs are required for each of the cakes:
1st cake: 12
2nd cake: 24
3rd cake: 48
4th cake: 96
If you add all the eggs from each of the cakes, you will get 180, which is the number of eggs needed for all four cakes. So our answer is correct.
Hope this helps (●'◡'●)
What is the value of a if the point ( a, -1) is on the line 4x -3y = 15?
Answer:
a = 3
Step-by-step explanation:
(a, -1) is (x, y)
Plug in the value of y into the given equation to solve for a (x):
4x - 3(-1) = 15
4x + 3 = 15
4x = 12
x = 3
(x, y) is (a, -1) so (a, -1) = (3, -1)
Answer: a=3
Step-by-step explanation:
We are given a point and an equation. To see what "a" is, we can plug in the coordinate into the equation and solve for x.
4a-3(-1)=15 [multiply]
4a+3=15 [subtract both sides by 3]
4a=12 [divide both sides by 4]
a=3
Now, we know that a=3.
A gym at a school is being painted. The four walls and the ceiling are to be painted (but not the floor). The gym measures 100 ft x 65 ft x 25 ft. A 5 gallon can of paint costs $151.99 and covers 1750 ft. How many cans should be purchased? What will it cost to paint two coats for this gym (include HST)?
9514 1404 393
Answer:
17 cans$2,971.40Step-by-step explanation:
We assume ...
the 25' dimension is the wall heightthe HST rate is 15% (the paint is not purchased in Ontario)only full cans of paint can be purchasedThe wall area is the wall height times the perimeter of the room.
wall area = (25')(2(100' +65')) = 8250 ft²
The ceiling area is the product of length and width.
ceiling area = (100')(65') = 6500 ft²
Then the area to be painted with each coat is ...
painted area = wall area + ceiling area = (8250 +6500) ft² = 14750 ft²
Then two coats of paint will require sufficient paint to cover ...
(2 coats)×(14750 ft²/coat) = 29,500 ft²
__
If each can of paint covers 1750 ft², the number of cans required is ...
(29,500 ft²)/(1750 ft²/can) = 16.86 cans
17 cans must be purchased
__
The cost of 17 cans of paint with sales tax will be ...
(17 cans)($151.99/can)(1 +15%) = $2971.40
Write an equation of the line that passes through the point (4, –5) with slope 2.
A. y−4=−2(x+5)
B. y+5=−2(x−4)
C. y+5=2(x−4)
D. y−4=2(x+5)
what Is an equation of the line that passes through points (-12 -8) (-17 -16)
find the equation of the line shown
The required equation of the line is y = x + 1.
What is a Line??
A line can be defined by a shortest distance between two points is called as a line.
From the graph we conclude two points i.e. (0,1) and ( 1, 2).
Slope(m) = [tex]\frac{Y_2-Y_1}{X_2-X_1}[/tex]
m = 2-1/1-0
m = 1
Standard equation of line.
[tex]Y-Y_1=m(X-X_1)[/tex]
Y- 1 = 1 ( X - 0 )
Y = X + 1
Thus, the required equation of the line is y = x + 1.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
The following figure appears in a math workbook. Students are asked to reflect the polygon across the line, then rotate it 90 degrees clockwise . Which figure shows the result of the two transformations?
Answer:
C
Step-by-step explanation:
tracing paper is your friend
PLEASE ANSWER QUICKLY Find the distance between points (4, 2) and (7, 2) on the coordinate
plane.
Answer:
3 units
Step-by-step explanation:
(4,2) (7,2)
Subtract 4 from 7 = 3
Subtract 2 from 2 = 0
This means that (7,2) is 3 units up from (4,2).
:) ur welcome
Answer:
Step-by-step explanation:
D=√(x2-x1)²+(y2-y1)²
D=√(7-4)²+(2-2)²
D=√(3)²+0
D=3²*½
D=3
What is the area of a parallelogram if the length is 4+ x and it's height is x+3
Answer:
[tex]x^{2}[/tex] + 7x + 12
Step-by-step explanation:
The area of a parallelogram is A = bh, where the base is the length.
To solve this, you have to multiply 4 + x and x + 3.
(4 + x)(x + 3)
If you factor this more, it should be equal to:
[tex]x^{2}[/tex] + 3x + 4x + 12.
This simplified is equal to:
[tex]x^{2}[/tex] + 7x + 12.
Which represents can be used to determine the slope of the linear function graphed below
If f (x)=3x-2 and g(x) =6-4 find f(x) + g(x)
Answer:
3x
Step-by-step explanation:
Evaluate the expression below for m=2/3 and n= 1/3
Answer:
Evaluación de expresiones y polinomios
Purplemath
"Evaluación" significa principalmente "simplificar una expresión a un solo valor numérico". A veces se le dará una expresión numérica, donde todo lo que tiene que hacer es simplificar; esa es más una cuestión de orden de operaciones. En esta lección, me concentraré en el aspecto de la evaluación de "conectar y tragar": introducir valores para las variables y "avanzar" hasta llegar a la respuesta simplificada.
(Por cierto, sí, "plug-n-chug" es una terminología bastante estándar. No es un término "técnico", por lo que probablemente no lo verá en su libro de texto, pero seguramente lo escuchará de otros estudiantes. , y quizás también su instructor.)
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Evaluar expresiones en MathHelp.com
Evaluar expresiones
Por lo general, la única parte difícil de la evaluación es hacer un seguimiento de los signos "menos". Le recomiendo encarecidamente que utilice los paréntesis libremente, especialmente cuando recién está comenzando.
Evalúe a2b para a = –2, b = 3, c = –4 y d = 4.
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Para encontrar mi respuesta, simplemente conecto los valores dados, teniendo cuidado de usar paréntesis, particularmente alrededor de los signos "menos". Especialmente cuando recién estoy comenzando, dibujar los paréntesis primero puede ser útil:
a2 b
() 2 ()
(–2) 2 (3)
(4) (3)
12
Observe cómo el uso de paréntesis me ayudó a realizar un seguimiento del signo "menos" en el valor de a. Esto era importante, porque de otro modo podría haber elevado al cuadrado solo el 2, terminando con –4, lo que habría estado mal.
Por cierto, resultó que no necesitábamos los valores de las variables c y d. Cuando se le da un gran conjunto de expresiones para evaluar, debe esperar que a menudo haya una u otra de las variables que no se incluirán en ningún ejercicio en particular del conjunto.
Evalúe a - cd para a = –2, b = 3, c = –4 y d = 4.
En este ejercicio, me dieron información adicional. No hay una b en la expresión que quieren que evalúe, por lo que puedo ignorar este valor en mi trabajo:
(–2) - (–4) (4)
–2 - (–16)
–2 + 16
16 - 2
14
Step-by-step explanation:
hola
I need help! please!!
Answer:
r=8°.answerStep-by-step explanation:
95°=6r°+47{ vertically opposite angle are equal}95°-47°=6r°6r°=48°r=48/6r=8°hope it helps.stay safe healthy and happy.Answer:
8
Step-by-step explanation:
95°=6r°+47(being vertically opposite angle)
or,48°=6r
or,48=/6=r°
or,r=8°
The programming code below shows an ''if-else'' function. After the code is run, the variable ''y'' is equal to _______.
int x, y;
x = 0; y = 0;
if (x < 0) { y = y + 1; }
else { y = y + 2; }
Answer:
2
Step-by-step explanation:
Since x=0, and it's not <0, the "else statement" is executed making y=0+2
There is a category called "computer and technology", maybe you can get better answers if you select that instead of "mathematics"
The following data was collected from a survey in which people identified their average salaries over the past ten years. Identify the number of classes in the histogram.
Answer:
nine 9 classes in the histogram
please help me out with this.
Answer:
B. -infinity < x < infinity
Step-by-step explanation:
Since it's linear and kind of horizontal, it stretches to infinity on both sides (indicated by arrows on both sides of the line.
26.3 times 1.2 please do with explanation worth 15 points
Answer - It’s 31.56
Step-by-step explanation: You just do regular multiplication and then add the decimal point
what is the solution for 2y=x+2
x-3y=-5
Answer:
x = 4
y = 3
Step-by-step explanation:
Given equations :-
2y = x + 2 x - 3y = -5Second equation can be written as ,
x - 3y = -5 -3y = -x - 5Adding them :-
-3y + 2y = 2 -5 -y = -3 y = 3Put this in (ii) :-
x = 3y - 5 x = 3*3 - 5 x = 9 -5X = 4Please help!!!!!
I’m using Plato
Answer:
the image is hard to read... this is the best that I can see
Step-by-step explanation:
[tex]\sqrt[3]{x^{3} } = x^{3/3} = x\\\sqrt[3]{x^{5} } = x^{5/3} \\\\\sqrt[5]{x } = x^{1/5} \\\\\sqrt[2]{x ^3 } = x^{3/2} \\[/tex]
~~~~~~~~~~~~~~~~~~~
Use the completing the square to solve x^2+6x=12.
Answer:
x= -3 ± [tex]\sqrt{21}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex]+6x=12
We add 9 [[tex](6/2)^{2}[/tex]] to both sides to complete the square as [tex]x^{2}[/tex]+6x+9 = [tex](x+3)^{2}[/tex].
[tex](x+3)^{2}[/tex]=21
Now we take the square root of both sides:
x+3=±[tex]\sqrt{21}[/tex]
x= -3 ± [tex]\sqrt{21}[/tex]
Answer:
x = -3 ± [tex]\sqrt{21}[/tex]
Step-by-step explanation:
[tex]x^2+6x=12[/tex]
[tex](\frac{b}{2} )^{2}[/tex] = 9
[tex]x^2+6x + 9 =12 + 9[/tex]
[tex](x+3)^{2} =21[/tex]
x + 3 = [tex]\sqrt{21}[/tex]
x = -3 ± [tex]\sqrt{21}[/tex]
jenna is playing an online trivia game. she has 50 points and earns 2 points for each correct answer. she will advance to the next amount if her score is over 68 points. which inequality can jenna use to find how many more questions she must answer correctly to advance to the next round?
Answer:2x + 50 > 68
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
because is you skip count on two you will count on to 68 so that is why the answer is 7.
Divide the following quantities in the following ratios £100 1:3
Give two examples of subtraction of fractions ( between 0-1) with different denominators.
SHOW ALL STEPS
Answer:
3/4-1/2=1/4 4/5-3/15
Step-by-step explanation:
3/4-1/2
=3/4-2/4
=1/4
4/5-3/15
=4/5-1/5
=3/5
A rectangle has a height of 4 and a width of x2 + 3x + 2.
whats the area of the entire rectangle?
Answer:
4x^2 + 12x + 8
Step-by-step explanation:
Won't go into it since some wonderful moderator will probably delete this because they feel like it.
But the answer is correct.
I need help pls!! 20 points I need it!!
Answer: About 6.71 units
Step-by-step explanation:
You use the distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex].
Assign the the two points to the variables:
[tex](x_{1}, y_{1}) = (1, 3)\\(x_{2}, y_{2}) = (4, -3)[/tex]
Substitute them in the formula:
[tex]\sqrt{(4-1)^{2}+(-3-3)^{2}}[/tex]
And solve it:
[tex]\sqrt{(4-1)^{2}+(-3-3)^{2}}\\=\sqrt{(3)^{2}+(-6)^{2}}\\=\sqrt{9+36}\\=\sqrt{45}\\=6.71[/tex]
Answer:
I got the answer as 6.70 .here's how
Step-by-step explanation:
c= ( 1,3)
d=(4,-3)
Now , formula of distance
√(x2 - x1)^2 +(y2 - y1)^2
or, √(4-1)^2+(-3-3)^2
or, √(3)^2+(-6)^2
or,√9+36
or√45
√45 = 6.70 units approx
Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?
Answer:
Joel wants to find the quotient of a number and 4, minus thirteen
Step-by-step explanation:
Given the expression :
n/4 - 13
The options B and D cannot be possible answers as they are referring to products and sums which is not a part of the operation used in the expression.
However, the most appropriate option would be A because,
13 is subtracted from the quotient of n/4 which is what the first option expresses.
What is meant by option C however is :
13 - n/4
Hence. Option A is the correct choice.
Answer:
Joel wants to find the quotient of a number and 4, minus thirteen
Step-by-step explanation:
i would like to lesen how to Break Down math 3rd thru 12
Answer:
Here are some basic tips that experts suggest.
Discuss math class at home.
Model good math behavior.
Talk through math problems.
Highlight real-life math problems.
Highlight real-life examples of fractions.
Play math games.
Use money to practice math.
Explore math with sports.
Step-by-step explanation:
Need help please.. :(
Answer:
option d is correct one in which value of T lies
A survey found that women's heights are normally distributed with mean 62.3 in. and standard deviation 2.3 in. The survey also found that men's heights are normally distributed with a mean 67.6 in. and standard deviation 2.9. Complete parts a through c below. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 4 in. Find the percentage of women meeting the height requirement The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.)
Answer:
98.93
Step-by-step explanation:
we're looking for
4 ft 9 <x<6 ft 4
Let's convert this into inches
4 ft 9 = 57 in
6 ft 4= 76
so we're looking for
57<x<76
which is equal to
p(76)-p(57)
let's start by p(76)
(76-62.3)/2.3= 5.946521 which on a ztable is equal to 1
p(57)=
(57-62.3)/2.3= -2.3
which is equal to 1-.9893= .0107
Finally,
1-.0107= .9893 = 98.93%
(7 + 10i)+(4-10i)-(7-5i)
Answer:
4 + 5i
Step-by-step explanation:
To calculate this you have to combine the like terms until they cannot be combined any further:
7 + 10i + 4 - 10i - (7 - 5i)
11 + 0i - 7 - 5i
7 & 4 are liked terms so add them together + subtract 10i and 10i
4 + 5i <--- Final answer
Hope this helps!
Answer:
4 + 5i
Step-by-step explanation:
(7 + 10i) + (4 - 10i) - (7 - 5i)
7 + 10i + 4 - 10i - (7 - 5i)
11 - 7 + 5i
4 + 51
URGENT GIVING BRAINLIEST