Answer:
x = 5 and y = -6
Step-by-step explanation:
The given equations are :
6x + 3y = 12 ...(1)
4x + y = 14 ...(2)
Multiply equation (2) by 3.
12x + 3y = 42 ...(3)
Subtract equation (1) from (3).
12x + 3y-(6x + 3y) = 42-12
12x+3y-6x-3y = 30
6x = 30
x = 5
Put th value of x in equation (2).
4(5) + y = 14
20 +y = 14
y = -6
So, the solution of the equations are x = 5 and y = -6.
find product of 3/8 × 4
Answer:
1 and 1/2 or 1.5
Step-by-step explanation:
3/8 × 4/1 = 3/2 = 1 and 1/2
Result in decimals: 1.5
Calculation steps:
3/8 × 4/1 = (3 × 4)/(8 × 1) = 12/8
12 ÷ 4 = 3
8 ÷ 4 = 2
= 3/2 = 1 and 1/2
1000-(864%2+336%3+648%2)=
Answer:
959.72
Step-by-step explanation:
you have to simplify
Step-by-step explanation:
=1000-864%2-336%3-648%2
=1000-17.28-10.08-12.96
=-11123.36
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.08. It is estimated that 18 % of the population who take this test have the disease.
You may want to construct a table as in your course materials. Use a population of 10,000 people.If the test administered to an individual is positive, what is the probability that the person actually has the disease?Express your answer rounded correctly to three decimal places.
Solution :
It is given that :
P (positive | Has disease) = 0.7
P (positive | No disease) = 0.08
P (has disease) = 0.18
P (No disease) = 1 - 0.18
= 0.82
Now if test administered to the individual is positive, the probability that the person actually have the disease is
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex] ......(1)
The P(positive) is,
[tex]$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$[/tex]
= P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)
= 0.7 (0.19) + 0.04 (0.81)
= 0.1654
Now substituting the values in the equation (1), we get
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]
[tex]$=\frac{0.7(0.19)}{0.1654}$[/tex]
= 0.8041
The length of a rectangle is 4 inches longer than it is wide. If the perimeter is 52 inches, what are the
dimensions of the rectangle?
Answer:
L = 15
W = 11
Step-by-step explanation:
P = 2L + 2W
2L + 2W = 52 Divide each term by 2
2L/2 + 2W/2 = 52/2
L + W = 26 Substitute the value for L
W + 4 + W = 26
2W + 4 = 26
2W = 26 - 4 Subtract 4 from both sides
2W = 22 Divide by 2
W = 22 /2
W = 11
L = W + 4
L = 11 + 4
L = 15
3x+2>29. solve for x
Answer:
x>9
Step-by-step explanation:
3x+2−2>29−2
3x>27
divide by 3
3x/3>27/3
convert 120 grains to dram
1. Estimate the y intercept for the line of best fit for the data
2. What kind of correlation exists between the data graph
Answer:
10) (15, 2)
11) 5
12) positive
Step-by-step explanation:
The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly
Answer:
d
Step-by-step explanation:
of course it is Charlie as he just walked 11.8 miles
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Answer:
(a) and (f)
Step-by-step explanation:
Given
[tex]y = 5x + 12[/tex]
See attachment for table and options
First, we calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,29)[/tex]
[tex](x_1,y_1) = (4,53)\\[/tex]
So, we have:
[tex]m = \frac{53- 29}{4 - 2}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 12*(x -2) + 29[/tex]
[tex]y = 12x -24 + 29[/tex]
[tex]y = 12x+5[/tex]
So, we have:
[tex]y = 5x + 12[/tex] --- The given equation
and
[tex]y = 12x+5[/tex] --- The equation of the table
An equation is represented as:
[tex]y = mx + b[/tex]
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: [tex]y = 5x + 12[/tex]
Rate of change = 5
y intercept = 12
For the table: [tex]y = 12x+5[/tex]
Rate of change = 12
y intercept = 5
In conclusion:
(a) [tex]y = 12x+5[/tex] has the greater rate of change:
and
(f) [tex]y = 5x + 12[/tex] has the greater y intercept
Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!
7. What is the DEGREE of the following binomial:
3x-2
A pair of cleats and a pair of crocs is $200 the difference in the cost is $55 determine the cost of each type of footwear
DASAROLLA:
a) (x+3) (x+5)=
b) (x+4) (x-5)=
Answer:
a)[tex]x^{2}[/tex]+8x+15
b)[tex]x^{2}[/tex]-x-20
Step-by-step explanation:
a) (x+3)(x+5)
a)[tex]x^{2}[/tex]+5x+3x+15
a)[tex]x^{2}[/tex]+8x+15
b) (x+4)(x-5)
b) [tex]x^{2}[/tex]-5x+4x-20
b)[tex]x^{2}[/tex]-x-20
Do set of numbers DO NOT form a Right Triangle?
O 9, 12, 15
5, 12, 13
3,4,5
O 4,5,6
Answer:
The ans is 3,4,5
Step-by-step explanation:
Hope it helps you Tq
2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor
esto es de fisica
àaaaaaaaaaaaass la verdad no se
You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you selll 10 more students tickets than general admission. How many of each ticket did you sell?
A:60 student, 120 parent, and 50 general admission
B:40 student, 80 parent, and 30 general admission
C:80 student, 160 parent, and 70 general admission
D:90 student, 45 parent, and 80 general admission
Answer:
A
Step-by-step explanation:
graph of function f(x)=1/x+7-14
Find four consecutive odd integers if the sun of the first and fourth is 3 less than 3 times the second
Answer:
5
Step-by-step explanation:
HELP AGAIN I NEED IT BADLY
Answer:
A. 5b - w + 8
Step-by-step explanation:
3w + 6 - 4w + 3b + 2 + 2b
= 3w - 4w + 3b + 2b + 6 + 2
= -w + 5b + 8
= 5b - w + 8
=> A. 5b - w + 8
please help me thank you
Answer:
y= - 1/6x-2
I hope it helped
Is the point (1,5)a solution to the equation y=2x+3?
Step-by-step explanation:
✰ [tex] \underline{ \underline{ \large{ \tt{ G \: I \: V \: E \: N \: \: P \: O \: I \: N \: T}}}} : [/tex]
( 1 , 5 )✰ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\: E \: N \: \: E \: Q \: U \: A \: T \: I \: O \: N}}}} : [/tex]
y = 2x + 3✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\:I \: N \: D}}} }: [/tex]
Whether the point ( 1 , 5 ) , a solution to the equation y = 2x + 3 or not.[tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]
Assuming the the value of x and y as 1 and 5 respectively. Now , plug the values of x and y in the given equation & let's see whether the point ( 1 ,5 ) , solution to the equation y = 2x + 3 or not !
⟶ [tex] \large{ \tt{5 = 2 \times 1 + 3}}[/tex]
⟶ [tex] \large{ \tt{5 = 2 + 3}}[/tex]
⟶ [tex] \large{ \tt{5 = 5}}[/tex]
Since we got 5 on R.H.S & L.H.S, So yeah! The point ( 1 , 5 ) is a solution to the equation y = 2x + 3.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
AD is tangent to circle B at point C. What is the measure of angle BCA.
Answer:
90°
Step-by-step explanation:
Actually the question should be AC is tangent to circle B at point C. What is the measure of angle BCA.
AC is tangent and BC is radius.
Radius is perpendicular to the tangent.
Therefore,
measure of angle BCA = 90°
If Jimmy boy here has 35 ropes and he washes 56 paper, how much wetlands will Johnny Boy own left.
Answer:
All of what he had
Step-by-step explanation:
Answer: jimmy will have it all
Step-by-step explanation:
A washer and a dryer cost $450 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?
Answer:
$150
Step-by-step explanation:
so you can divvy this up into 3 parts
$150 each
now put 2 parts into one, and one into the other. The cost of the washer is $150
cost of the dryer is$ 300
solve 3e = -27 show work
this one i dont understand how to do
Answer:
-9Step-by-step explanation:
This would be -27/3 = -9
If my radius is 10 feet, what is my diameter?
Answer:
Your diameter would be 20.
Step-by-step explanation:
1. Two radius added together is the diameter (if you're talking about a circle.)
2. You add 10+10 because as you said your radius is 10.
3. It would be 20.
Hope this helped!
Let the amount of money Tabitha started with be represented by x.
Tabitha then earned $52, spent $40,earned $28, and spent $58.How
much money, in terms of x, does Tabitha have now?
If Tabitha started with $50, then she would have $38 left.
Step-by-step explanation:
50 + 52 = 102.
102 - 40 = 62.
62 + 28 = 90.
90 - 58 = 38.
Answer:
38
Step-by-step explanation:
hi
Decide if the following is a true or false statement - explain how you know
(- 1/2) - (4.25) is positive
Answer:
False
Step-by-step explanation:
The equation equals -1/2 - 4.25 which is -4.75, which is negative.
Hope that helps!
a scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 10,080 inches long What is the width of the actual park, in inches
Shorter Answer:
7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
Answer: 56 000 yards
LongerAnswer (going more into depth):
Area of the actual park is 56000 square yards.
Step-by-step explanation:
A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.
Actual length of the park has been given as 280 yards.
So scale factor used in the drawing is 7 inches = 280 yards
Or 1 inch = 40 yards
Since width of the rectangular park is = 5 inch
So actual width of the park will be = 5×40 = 200 yards
Now we can calculate the area of the park.
Actual area of the park = Length × Width
= 280×200
= 56000 yards²
Therefore, area of the actual park is 56000 square yards.
Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2
Answer:
A: -2
Step-by-step explanation:
TOOK THE TEST