Answer:
2x=4-2y
x=(4-2y)/3
4x+5y=10
4[(4-2y)/3]+5y=10
(16-8y)/3+5y=10
(16-8y+15y)=10*3
7y=30-16=14
y=2
Step-by-step explanation:
The solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.
To solve the simultaneous equations:
Equation 1: 3x + 2y = 4
Equation 2: 4x + 5y = 10
We can solve this system of equations using the method of substitution or elimination.
Step 1: Multiply Equation 1 by 4 and Equation 2 by 3 to make the coefficients of x in both equations the same:
Equation 1 (multiplied by 4): 12x + 8y = 16
Equation 2 (multiplied by 3): 12x + 15y = 30
Step 2: Subtract Equation 1 from Equation 2 to eliminate x:
(12x + 15y) - (12x + 8y) = 30 - 16
12x - 12x + 15y - 8y = 14
7y = 14
y = 14 / 7
y = 2
Step 3: Substitute the value of y into either equation to solve for x. Let's substitute it into Equation 1:
3x + 2(2) = 4
3x + 4 = 4
3x = 4 - 4
3x = 0
x = 0 / 3
x = 0
Therefore, the solution to the simultaneous equations 3x + 2y = 4 and 4x + 5y = 10 is x = 0 and y = 2.
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Please answer the following:
Answer:
[tex]( \frac{7}{10} - \frac{5}{8} )[/tex] ÷ [tex]\frac{1}{16}[/tex]
(check your other question for my explanation)
the expression x10-100 is equivalent to what
Answer:
90
Step-by-step explanation:
question in image will give brain list
Answer:
Step-by-step explanation:
2 pairs of parallel sides
Diagonals bisect eachother
Can someone pls help meee
Answer:
23°
Step-by-step explanation:
straight line=180
82+24+51=157
180-157
A 44-inch pendulum swings at an angle of 14°. Find the length of the arc to the nearest hundredth of an inch through which the tip of the pendulum swings.
Answer:
10.75 inches
Step-by-step explanation:
A 44-inch pendulum swings at an angle of 14°. Find the length of the arc to the nearest hundredth of an inch through which the tip of the pendulum swings.
The formula of the length of the arc subtended by pendulum is given as = (x/360)*2πr or (x/180)*πr
Where:-
x = angle subtended by pendulum which is = 14°
r = Length of the pendulum = 44 inch
Lenghth of arc = ?
By putting values
Length of the arc = (14/180 × π × 44
= 10.751228192 inches
Approximately = 10.75 Inches
Mary has 36 pots. she plants daises in 2/3 of her flower pots
Answer:
24
Step-by-step explanation;
Number of flower pots = 36
Since she plants daisies in 2/3 of her flower pots, the number of flower pots that Mary plant daisies will be:
= 2/3 × 36
= 2 × 12
= 24
She plants daises in 24 flower pots
what is the value of X?
R=120 degrees
T=130 degrees
X=blank degrees
State the domain for the following relation.{(4, -1), (3, 2), (0, -3), (1, 4)} *
A. {0, 1, 3, 4}
C. {0, 1, 2, 4}
B. {2, 3, 4, 5}
D. {0, 1, 3, 5}
Answer:
A. {0, 1, 3, 4}
Step-by-step explanation:
For a relation with elements (x, y)
The domain is the set of the x-values, that are the input values.
Here we have the relation:
{(4, -1), (3, 2), (0, -3), (1, 4)}
Here we can see that the inputs are:
4, 3, 0, and 1.
Then the domain is:
{4, 3, 0, 1}
Now let's write this in the correct order:
{0, 1, 3, 4}
The domain of the relation is: {0, 1, 3, 4}
Then the correct option is A.
AABC is reflected over the yaxis.
What are the vertices of AA'B'C'?
Answer:
A'=(-1, 5) B'=(-2, 3) C'=(-5, 4)
Step-by-step explanation:
Reflecting over the y-axis changes the only the first point changes into a negative, while the second stays the same.
pls can u help me answer this❔
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
Photomath, lol
A publishing house is selling subscriptions to its magazines for 20% off the original price. If a subscription to Newsweek Magazine is on sale for $72, how much does it usually cost?
Answer:
90
Step-by-step explanation:
The magazines are sold at a discount. Discount reduces the price of the good
If the magazines are sold at 20%, the magazine's price would be 80% (100% - 20%) of the original price
let a represent price of the magazine before the discount
This equation represents price of the magazine after the discount
0.8 x a = $72
Divide both sides by 0.8 and find a
a = $90
Calculate the perimeter of this shape.
10 cm
19 cm
-7b - 4(b + 7) = -3b - 4(b - 2)
Answer:
b= -9
( I hope this was helpful) >;D
Answer:
b=-9
Step-by-step explanation:
Un barril de petróleo equivale a 159 litros entonces si un pozo de petróleo produce 374 barriles por minuto. ¿Cuántos litros son? * 10 puntos A) 2.35 B) 4.80 C) 59 466 D) 128 345
Answer:
374 barriles equivalen a 59466 litros de petróleo.
Step-by-step explanation:
La regla de tres simple es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos. Es decir, lo que se pretende es encontrar el cuarto término de una proporción conociendo los otros tres. Recuerde que la proporcionalidad es una relación o razón constante entre diferentes magnitudes.
Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, también lo hace la otra (o cuando una magnitud disminuye, también lo hace la otra), se debe aplicar la regla directa de tres. Para resolver una regla directa de tres, se debe aplicar:
a ⇒ b
c ⇒ x
donde a, b y c son valores conocidos, mientras x es el valor que se desea conocer. Entonces: [tex]x=\frac{c*b}{a}[/tex]
En este caso, la regla de tres se aplica de la siguiente manera: si 1 barril de petróleo equivale a 159 litros, 374 barriles a cuántos litros equivale?
1 barril ⇒ 159 litros
374 barriles ⇒ x litros
[tex]cantidad de litros =\frac{374 barriles*159 litros}{1 barril}[/tex]
cantidad de litros= 59466 litros
374 barriles equivalen a 59466 litros de petróleo.
How does the graph of the function g(x) = 2x - 3 differ from the graph of f(x) = 2X?
Ο Α.
A. It is moved up 3 units.
B.
It is moved down 3 units.
о
C. It is moved right 3 units.
D. It is moved left 3 units.
Answer:
A
Step-by-step explanation:
Ο Α.
A. It is moved up 3 units.
Use the given information to determine which lines,
Z1 Z8
Fill in the blanks below.
Given that Z1 Z8,
by the
Answer:
Step-by-step explanation:
okay so z 1 is a lie
solve pls. dont mind the one i circled ! ty!!!
Answer:
The answer is B.
Step-by-step explanation:
If this is wrong im very very sorry!
A brainlist would be appreciated! I'm almost an expert!
A line that includes the point (-10,-5) has a slope of -8. What is its equation in point-slope form?
Answer:
Step-by-step explanation:
y + 5 = -8(x + 10)
y + 5 = -8x - 80
y = -8x - 85
Answer:
[tex]y + 5 = -8 (x+10)[/tex]
Step-by-step explanation:
The point-slope form of an equation is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula to write the equation of the line in point-slope form.
[tex]m[/tex] represents the slope, so substitute -8 in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Thus, use the x and y values of the point (-10, -5) for the formula. Substitute -10 for [tex]x_1[/tex] and -5 for [tex]y_1[/tex]. This gives the following equation and answer:
[tex]y-(-5) = -8(x-(-10)\\y + 5 = -8 (x+10)[/tex]
Of the 140 pages in a book, 80% of them have illustrations. How many pages have illustrations?
Answer: 140 x
25%=35 or 140/4 = 35
Step-by-step explanation:
Answer:
112 pages have illustrations.
Step-by-step explanation:
A consumer magazine rates televisions by identifying three levels of price, three levels of repair frequency, four levels of features, and three
levels of picture quality. How many different ratings are possible?
Answer:
10
Step-by-step explanation:
What kind of transformation is shown in the picture?
Step-by-step explanation:
Rotation would be the best answer
work out the area of 5m and 8m of a shape
Answer:
40 sqaure meters
Step-by-step explanation:
You have to mulitply both sides to find area.
5m times 8m equals 40m
Hi! I was putting up a test on other people with this question and i wanted to see if anyone solves this correctly? PLEASE ANSWER ASAP
Answer:
Assuming the shape is a half-circle, there's two right angles.
Step-by-step explanation:
The angle between the straight segment and the half-circle can be measured by taking a tangent line at the intersection point and it will of course be perpendicular to the straight segment, assuming the segment is the diameter of the circle).
Identify the characteristics of the graph of the quadratic function shown.
Answer:
(0,0)
(-3,0)
when x<4 the given curve is decreasing
domain(0,0) the range is (-3,0)
Step-by-step explanation:
give me the brinalst plzz i slove ur answer
The domain and range of function is (0,8).
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
The graph
Now
The domain is on x axis (0,8)
The range is on y axis (-3,9)
When x<4, both are positive.
Therefore, the domain answer will be (0,8).
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Help me plz I rlly need this answer
Answer:
Range = greatest number minus least number
Range = 25-23
Range = 2
So, the answer you've chose right now is correct.
Let me know if this helps!
1. Which of these rectangles have the same area as Rectangle R but different perimeter?
We need to like see the rectangles so we can answer it
Biologists discovered an invasive bird species on an island. The function fff models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered. Plot the point on the graph of fff that corresponds to the number of birds in the population when the biologists discovered it.
The point (4,9) corresponds to the number of birds in the population when the biologists discovered it.
What is a function?The function is a type of relation, or rule, that maps one input to a specific single output.
Biologists discovered an invasive bird species on an island.
The function fff models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered.
The population drops after 4 months making that the maximum the population of the fish.
The answer will be (4,9) the vertex of the parabola which is basically the top of the peak.
The point (4,9) corresponds to the number of birds in the population when the biologists discovered it.
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The lengths of the sides of a triangle are 9, 12, and 15. Classify the triangle as acute, Right or obtuse
Answer:
I think it should be scalene
Step-by-step explanation:
It depends on how you map each lengths to form a triangle
What are all of the parallelogram theorems