Answer:
Se fabricaron:
1000 balones de los que cuestan $20
75 balones de los que cuestan $30
50 balones de los que cuestan $40
Step-by-step explanation:
Vamos a definir las variables:
x = número de balones de $100.00 vendidos.
y = número de balones de $120.00 vendidos
z = número de balones de $160,00 vendidos.
Sabemos que se producen 1125 balones, entonces:
x + y + z = 1125
y el costo de producción es $24,250, conociendo el costo de cada balón podemos escribir:
x*$20 + y*$30 + z*$40 = $24,250
Y también sabemos que la ganancia mensual es $92,750
Ganancia es la diferencia entre el dinero total recibido y los costos, entonces:
x*$100 + y*$120 + z*$160 - $24,250 = $92,750
x*$100 + y*$120 + z*$160 = $92,750 + $24,250
x*$100 + y*$120 + z*$160 = $117,000
Entonces tenemos un sistema de 3 ecuaciones:
x + y + z = 1125
x*$20 + y*$30 + z*$40 = $24,250
x*$100 + y*$120 + z*$160 = $117,000
Para resolver esto debemos comenzar por aislar alguna variable en alguna de las ecuaciones, yo comenzare aislando x en la primera ecuación:
x = 1125 - y - z
Ahora podemos reemplazar esto en las otras dos ecuaciones para obtener:
(1125 - y - z)*$20 + y*$30 + z*$40 = $24,250
(1125 - y - z)*$100 + y*$120 + z*$160 = $117,000
Si simplificamos esto obtenemos:
$22,500 + y*$10 + z*$20 = $24,250
$112,500 + y*$20 + z*$60 = $117,000
Ahora de vuelta, debemos aislar una variable en una de las ecuaciones, si aislamos y en la primera ecuación obtenemos:
y*$10 = $24,250 - $22,500 - z*$20
y = ($1,750 - z*$20)/$10
y = 175 - 2*z
Reemplazando esto en la otra ecuación obtenemos:
$112,500 + (175 - 2*z)*$20 + z*$60 = $117,000
Ahora podemos resolver esto para z.
(175 - 2*z)*$20 + z*$60 = $117,000 - $112,500
(175 - 2*z)*$20 + z*$60 = $4,500
$3,500 - z*$40 + z*$60 = $4,500
$3,500 + z*$20 = $4,500
z*$20 = $4,500 - $3,500 = $1,000
z = $1,000/$20 = 50
Entonces tenemos 50 balones de los que cuestan $40.
Usando la ecuación y = 175 - 2*z podemos encontrar el valor de y.
y = 175 - 2*50 = 75
Entonces tenemos 75 balones de los que cuestan $30.
Usando la ecuación x = 1125 - y - z podemos encontrar el valor de x.
x = 1125 - 75 - 50 = 1000
tenemos 1000 balones de $20.
Miles got 23 out of 25 questions correct on his test. What percent did he get correct?
Answer: Miles got 92% correct on his test
Step-by-step explanation:
Answer:
92%
Step-by-step explanation:
25=100%
23=? crisco
23×100/25= 92%
Kamogelo walks 1.25 km in 25 minutes and Masego walks 1.44 km in 30 minutes. If these are
their travelling times and distance to school then, who walks faster.
Answer:
Kamogelo walks Faster
Step-by-step explanation:
1.25 km is less distant and in twenty five minutes it is fast enough.
3y (3x - 1) - ( 3x - 1) tama "termino común"
Answer:
9xy-3x-3y+1
Step-by-step explanation:
3y(3x-1)-1(3x-1)
write the set notation of the following Venn-diagram I will mark him or her as the brainliest answer
Answer:
A intersection B complement
A plane intersects the center of a sphere
with a volume of about 9,202.8 m3. What is
the area of the cross section? Round to the
nearest tenth.
Answer:
530.66
Step-by-step explanation:
The computation of the area of the cross section is shown below
Given that
Volume = 9208 m^3
Now let us assume the radius be r
So volume = 4 ÷ 3 πr^3
9202.8 × 3 ÷ 4π = r^3
27,608.4 ÷ 4 × 3.14 = r^3
27,608.4 ÷ 12.56 = r^3
2,198.12 = r^3
r = 13
Now the area of the cross section is
= πr^2
= 3.14 × (13)^2
= 530.66
Help please
4 x n = -8
Answer:
-2.
Step-by-step explanation:
4 x -2 = -8.
can someone help me solve this please
Answer:
The answer is C.
Step-by-step explanation:
The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I will solve using the following assumptions.
Job A:
[tex]y = 2x + 5[/tex]
Job B
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]
The first step is to calculate the rate of Job B using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1,6)[/tex]
[tex](x_2,y_2) = (2,10)[/tex]
So, we have:
[tex]m = \frac{10 - 6}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m = 4[/tex]
So, the hourly rate of job B is $4/hr
For Job A:
[tex]y = 2x + 5[/tex]
A linear equation has the form:
[tex]y = mx + b[/tex]
Where m is the rate
By comparison:
[tex]m = 2[/tex]
So, the hourly rate of Job A is $2/hr
Comparing both rates, we can draw the following conclusions;
The hourly rate of Job A is greater than the hourly rate of Job BThe hourly rate of Job A is twice the hourly rate of Job B.(a) All even numbers are divisible by 2.
What is the sum of
9
16
and
5
16
Answer:
7/8 step by step
Step-by-step explanation:
9/26 +5/16 = 14/16
simplify
7/8
Regina wants to donate 15% of her paycheck to charity. If she receives a paycheck of $300, how much money will she donate?
X to the fourth power minus Y to the fourth power
Answer:
[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]
Step-by-step explanation:
[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]
[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]
What is another way of writing 5(6+3) using to distribute property
Answer:
The multiplication of 5(6) and 5(3) will each be done before you add.
5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.
Step-by-step explanation:
hope this helps...
have a nice weekend ヽ(ヅ)ノ
oh and if i was supposed to follow something sorry cuz i can't see the pic...
If a dle is rolled, what is the probability of getting an even number?
P(even number)
note: your answer will be written as a decimal
Answer:
.5 or 50%
Step-by-step explanation:
A die has six sides, have of them are odd and half are even. Therefore the probability of getting an even number is 50% or 0.5.
help asap
find m∠ABC
Answer:
85
Step-by-step explanation:
Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame?
6. What percentage of the children in class 5 is a member of a sports club? 3
Result sports questionnaire
for: class 5
“Are you a member of a
sports club?
yes: 15
no:5”
Answer:
75%
Step-by-step explanation:
Let x be the percentage for sports club members.
x% of 20 = 15
x/100 x 20 = 15
x/5 = 15
x = 75
Work out the size of angle BCD
Answer:
sin62=BD/AB
BD=Sin62×AB
BD=Sin62×15
BD=13.24
ALSO,
Tan C = BD/BC
Tan C = 13.24/24
Tan C = 5.51 / 10
C = Tan^-1 ( 5.51 / 10 )
Answer:
∠BCD = 29°
Step-by-step explanation:
sin 62 = BD/15
0.8829 = BD/15
BD = 13.24
tan ∠BCD = 13.24/24 = 0.5517
∠BCD = 29°
which of these expressions will return the same value for PV
Answer:
C
Step-by-step explanation:
What is the volume of this sphere rounded to the nearest hundredth?
Answer:
2144.7
Step-by-step explanation:
Volume of a sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]
V= [tex]\frac{4}{3} \pi 8^{3}[/tex]
V=(4 /3)·π·8^3≈2144.66058 --> 2144.7
Which expression represents the series 1+5+25+125+625
Answer:
Step-by-step explanation:
Work out the volume of the cone, giving your answer
to 3 significant figures.
Answer:
V = 1010 sq cm. to 3 significant figures
Step-by-step explanation:
V = [tex]\frac{1}{3} pi 8^{2} (15)[/tex]
= [tex]\frac{\pi 64(15)}{3}[/tex]
= 1005.309649,,,
V = 1010 sq cm. to 3 significant figures
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 37%. If they have six children, what is the probability that at most one of their six children will have that trait? Round your answer to the nearest thousandth.
Answer:
Yes
Step-by-step explanation:
Answer:
Sum: 0.78619≈0.786
Step-by-step explanation:
n=4
r=1, 2, 3, 4
r=1,2,3,4
"At least" counts up.
p=32\%=0.32
p=32%=0.32
q=1-0.32=0.68
q=1−0.32=0.68
The chance a success does NOT occur.
_{n}C_{r}p^rq^{n-r}
The probability that at most one of their six children will have that trait is 0.68
How to determine the probability?From the question, the given parameters are
Number of children, n = 6
Probability of a child with the trait, p = 37%
The required probability that at most one will have that trait is represented as P(x ≤ 1)
This probability is calculated ;
P(x ≤ 1) = P(0) + P(1)
Where
P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ
So, we have
P(x ≤ 1) = ⁷C₀ (37%)⁰ (1 - 37%)⁷⁻⁰ + ⁷C₁ (37%)¹ (1 - 37%)⁷⁻¹
Evaluate;
P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶
So, we have;
P(x ≤ 1) = 1-0.32= 0.68
Hence, the probability is 0.68
Read more about probability at
brainly.com/question/251701
#SPJ2
Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = 10x^5 + 8x^4 - 15x^3 +2x^2 - 2
Given:
The function is:
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
To find:
All the possible rational zeros for the given function by using the Rational Zero Theorem.
Solution:
According to the rational root theorem, all the rational roots are of the form [tex]\dfrac{p}{q},q\neq 0[/tex], where p is a factor of constant term and q is a factor of leading coefficient.
We have,
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
Here,
Constant term = -2
Leading coefficient = 10
Factors of -2 are ±1, ±2.
Factors of 10 are ±1, ±2, ±5, ±10.
Using the rational root theorem, all the possible rational roots are:
[tex]x=\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
Therefore, all the possible rational roots of the given function are [tex]\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
Plsss help I have a couple min left plssss
Answer:
here is the answer
Step-by-step explanation:
the first one the slope is 2
the second one the slope is -3
the slope is always the one with the x and the second one without the x is the y axis
Will be giving brainlest
p = 4, a = 5, r = 2, n = 10
Evaluate the algebraic expression a - r.
A.2
B.3
C.5
D.8
Answer:
sorry dont know
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
5-2
=3
................
Use special right triangle find the exact value of x.
X=?
Answer: 12
Step-by-step explanation:
what's the answer? I don't get it
- 1/2 X + 3 = 1/4 (X-12)
Answer:
i think x=8
Step-by-step explanation:
y = -2x + 5
4x + 2y = 10
Please show your work!!!
Answer:
The answer is ( X , - 2x + 5)
if you click the image it will show you how to solve the equation. I hope this helps you :)
simplify the following and write in exponential from
2³x3³
Answer:
6³ because 2³ and 3³ can be multiplied because they are to the same power, and keep the same power. Also, 6³ is 216.
Hope this helps!