Santiago buys a new computer for $3000. He pays it off in 2 years and pays $480 in simple interest. What was the interest rate?
Answer:
8%
Step-by-step explanation:
We can solve this by making use of the simple interest formula
I= PRT/100
480= 3000×R×2/100
480= 6000R/100
Cross multiply
48000= 6000R
R= 48000/6000
= 8%
Hence the rate is 8%
You randomly roll a number cube (single die).
What is the probability that you roll a 4.
Group of answer choices
2/3
6
1/6
4/5
Answer:
The probability that you will roll a 4 is 1/6
Step-by-step explanation:
A basic number cube has 6 sides.
Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6
The 4 is only on one out 6 of the sides so it is 1/6 probability
Please considering pressing the thank you button if it helped.
EASY GEOMETRY/10 POINTS/WILL MARK AS BRAINLIST
WHICH IS NOT A PYTHAGOREAN TRIPLE
Answer:
Answer = D.) 9, 12, 16
Step-by-step explanation:
Answer:
[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]
A store sells 3 hats for a total of $47.25. The cost of each hat is the same. What is the cost, in dollars, of
one hat at the store?
^
Enter your answer in the box.
dollars
Answer:
Each hat is $15.75
Step-by-step explanation:
When you take $47.25 since there is three hats you divide by 3, so you get 15.75.
Un curso esta formado por 12 mujeres y 15 hombres ¿cual es la probabilidad de que las personas en el cargo de presidente y visepresidente del curso sean ambas mujeres?
Answer:
P = (12/27)*(11/26) = 0.188
Step-by-step explanation:
Si todos tienen la misma probabilidad de estar en cargo de presidente y vicepresidente, entonces:
La probabilidad de que una mujer sea presidente, es igual al cociente entre el número de mujeres y el número total de personas:
p = 12/27
Ahora queremos calcular lo mismo para vicepresidente, y el cálculo es exactamente igual, con la diferencia de que en esta situación, ya hay una mujer en el cargo de presidente, entonces hay 11 mujeres que pueden ser vicepresidente, y un total de: (11 + 15 = 26 personas)
Entonces ahora la probabilidad es:
q = 11/26
La probabilidad conjunta (es decir, la probabilidad de que ambos eventos pasen) es igual al producto de las probabilidades individuales.
P = (12/27)*(11/26) = 0.188
i put 10 points please help me with this
Answer: X=6 Y=4
x+y= 10
6+4=10
x-y=2
6-4=2
Answer:
x=6
y=4
Step-by-step explanation:
Use an elimination method:
add equation 1 and 2 together.
2x = 12
divide both side by 2
x = 12/2
x = 6
use equal 1,
x + y = 10
y = 10 - x
y = 10 - 6
y = 4
ES URGENTE me ayudan?
Answer:
[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=\frac{81}{25}[/tex]
Step-by-step explanation:
Given expression is,
[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3[/tex]
By solving the given expression,
[tex](\frac{3^{-1}+2^{-1}}{5^{-1}})^{-1}+3=(\frac{\frac{1}{3}+\frac{1}{2}}{\frac{1}{5}})^{-1}+3[/tex]
[tex]=(\frac{\frac{2+3}{6}}{\frac{1}{5}})^{-1}+3[/tex]
[tex]=(\frac{\frac{5}{6}}{\frac{1}{5}})^{-1}+3[/tex]
[tex]=(\frac{5}{6}\times \frac{5}{1})^{-1}+3[/tex]
[tex]=(\frac{25}{6})^{-1}+3[/tex]
[tex]=\frac{6}{25}+3[/tex]
[tex]=\frac{6+(25\times 3)}{25}[/tex]
[tex]=\frac{81}{25}[/tex]
El agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura. Luego se embotella en bidones de 2.5 litros. ¿Cuántos envases se llenan con cada depósito?
Answer:
Con cada depósito se pueden llenar 3,617.28 envases.
Step-by-step explanation:
Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:
3.14 x (12x12) x 20 = X
3.14 x 144 x 20 = X
452.16 x 20 = X
9,043.2 = X
9,043.2 / 2.5 = X
3,617.28 = X
Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.
can someone pls pls help me ?
Answer: Dime
Step-by-step explanation: A half-dollar coin is 50 cents. A quarter is worth 25 cents.
50 + 25 = 75 cents.
75 + 10 = 85 cents.
A half-dollar + a quarter + a dime = 85 cents.
I hope this helps!
please help me im gonna have to do this over again if i get it wrong
[tex]1\frac{1}{2}[/tex] [tex]batches[/tex]
➛➛➛➛➛
[tex]\frac{1/2}{1} =\frac{3/4}{x}[/tex]
[tex]\frac{1}{2} =\frac{3}{4x}[/tex]
[tex]cross~multiply[/tex]
[tex]4x=2(3)[/tex]
[tex]\frac{4x}{4} =\frac{6}{4}[/tex]
[tex]x=\frac{3}{2} =1\frac{1}{2}[/tex]
✂----------------hope it helps...have a great day!!PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answer:
the second one
Step-by-step explanation:
Factor and find the zeros of the relation.
(c.) y = 30x^2 + 44x + 16
(d.) y = 10x^2 +60x + 80
Answer:
Step-by-step explanation:
c.
y= 30x² +44x +16
factor
y= 2 (15x² +22x +8)
find zeros
15x²+22x+8=0
ax²+bx+c=0
x= (-b±√(b²-4ac))/2a
x= -22±√484-480/30 = -22±2/30 = -11±1/15
there are 2 zeros x= -10/15 ; x= -12/15
d.
y= 10x² +60x +80
factor
y= 10(x²+6x+8) = 10( x+2)(x+4)
finding zeros
x+2 =0 so x= -2
x+4 =0 so x= -4
there are 2 zeros x= -2; x= -4
The trall around Loon Lake is 0.9 mile long. Which fraction is equivalent to 0.9?
Answer:
9/10
Step-by-step explanation:
The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday
Answer:
We can conclude that the room temperature on Saturday was 24°C
Step-by-step explanation:
For a set of N values:
{x₁, x₂, ..., xₙ}
The mean of the set is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case, our set is the temperature of 7 days (so we have 7 elements)
{T₁, T₂, T₃, T₄, T₅, T₆, T₇}
Such that:
T₆ = temperature on Saturday
T₇ = temperature on Sunday.
We know that:
"The mean room temperature from Monday to Saturday is 25°C"
Then:
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]
"the mean room temperature of Saturday and Sunday is 28°C"
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
"The mean room temperature from Monday to Sunday is 26°C"
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]
So we have 3 equations.
Let's rewrite:
T₁ + T₂ + T₃ + T₄ + T₅ = A
Then we can rewrite our equations as:
[tex]\frac{A+ T_6}{6} = 25 C[/tex]
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]
Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:
A + T₆ = 6*25
T₆ + T₇ = 2*28
A + T₆ + T₇ = 7*26
We now need to solve that system for T₆
The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:
A = 6*25 - T₆
A = 150 - T₆
Now we can replace this on the other two equations:
T₆ + T₇ = 2*28
(150 - T₆ ) + T₆ + T₇ = 7*26
Now, let's isolate T₇ in the top equation to get:
T₇ = 2*28 - T₆
T₇ = 56 - T₆
Now we can replace this in the last equation to get:
(150 - T₆ ) + T₆ + (56 - T₆) = 7*26
Now, we can solve this for T₆
150 - T₆ + T₆ + 56 - T₆ = 182
-T₆ = 182 - 150 - 56
-T₆ = -24
T₆ = 24
We can conclude that the room temperature on Saturday was 24°C
Jeremy constructed this solid by combining two rectangular prisms and a square pyramid.
A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.
What is the surface area of this figure?
_____________ square meters
320
322
368
386
Answer:
368 square meter
Step-by-step explanation:
just guessing
Answer:368
I got it right
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
Answer:
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. 3. A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes.
Step-by-step explanation:
4/x + 2/y = 3 is that linear? explain
please help i need it for my final
Answer:
Yes
Step-by-step explanation:
What is the measure of angle y?
a- 55 degrees
b- 145 degrees
c - 72.5 degrees
d - 35 degrees
Answer:
72.5
Step-by-step explanation:
Angle X is congruent to 35
both angles y and angle x together form a line that equals 180
so for angles y, take 180 - 35 = 145
Angles y is 145/2
Can you find the surface area if it has a height of 5cm.
Answer:
767
Step-by-step explanation:
HELP ASAP PLZZZZ I GIVE BRAINLEST !!!!!
Find the selling price of each item.
Answer:
b and d
Step-by-step explanation:
A quantity of tea is sold at Rs 48 per kg at a profit of 20%. The total gain is RS90 .What is the quantity of tea sold?
Answer:
1.875kg
Step-by-step explanation:
48 - 1000g
90 - x
48x = 90000
x = 90000/48
= 1875g = 1.875kg
Feel free to mark as brainliest :D
answer correct and fast
Hello there I hope you are having an great Day :)
1) 32780ml = 32.78
2) 37 1/2% of 24 = 9
Hopefully that helps you :)
Carolina y Juan fueron a la tienda y entre los dos se gastaron Q15.00. Carolina gastó Q3.20 más que Juan. ¿Cuánto gastó Juan? Grupo de opciones de respuesta
Answer:
Q 5.9
Step-by-step explanation:
Que el dinero gastado por Juan sea x
Deja que el dinero gastado por Carolina sea y
Si el dinero total gastado es Q 15
Luego;
x + y = 15 ------- (1)
De la segunda oración;
y = x + 3,2 -------- (2)
Sustituyendo (2) en (1)
x + x + 3,2 = 15
2x + 3,2 = 15
2x = 15 - 3,2
2x = 11,8
x = 5,9
x = Q 5.9
Por lo tanto Juan gastó Q 5.9
Help please I need help
Answer:
The range is 8.
Step-by-step explanation:
The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.
9 - 1 = 8
Have a nice day!
and tell me if I am wrong.
(3/5x + 4) + (1/5x -1)
Answer:
4/5x+3
Step-by-step explanation:
remove the useless parenthesis, then calculate the x sum then the normal numbers sum
If point D is placed on `bar(AC)`, how will the measure of `/_DAB` relate to the measure of `/_CAB` ?
Answer:
m`/_DAB` will be equal to m`/_CAB`.
Step-by-step explanation:
Correct on edmentum.
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?
Please help me I really need the answer I have to do 6 more assignments and Helping me would really help me finishing.
Given :
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.
To Find :
How many mugs did Jack make if he had 28.88 lbs of clay left over.
Solution :
Clay required to make 1 mug, r = 0.72 lbs.
Amount of clay left after making sculpture is, T = 28.88 lbs.
Now, number of clay mug Jack can make is :
[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]
Since, number of mug cannot be in decimal, so we take the floor value.
Therefore, number of mug that can be prepared is 40 .
what is 3 5/15+2 2/5
PLS HELP!!
Answer:
5.73
Step-by-step explanation:
I hope that's help u
Answer:
5 11/15
Step-by-step explanation:
Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.
7. Emma buys a game for $26.84. She pays for the game with a $20 bill and two $5 bills. How much change should she receive? A $1.84 B $3.16 C $3.26 D $3.84
Answer:
the answer is D have a good day
Why are the coordinates of the fountain? Show your work
Answer:did u ever get it
Step-by-step explanation: