[tex]x = 5 \: and \: y = 1.[/tex]
Step-by-step explanation:
[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]
[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]
Multiply Equation no (1) with 2 and Equation no (2) with 7.
[tex]14 x + 8y = 78.[/tex]
[tex]14x + 28y = 98.[/tex]
[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]
[tex]0x + -20y = - 20[/tex]
[tex] - 20y = - 20[/tex]
[tex]y = \frac{ - 20}{ - 20} [/tex]
[tex]y = 1[/tex]
Substitute the value of "y" in Equation no (1)
[tex]7x + 4y = 39.[/tex]
[tex]7x + 4(1) = 39.[/tex]
[tex]7x + 4 = 39.[/tex]
[tex]7x = 39 - 4[/tex]
[tex]7x = 35.[/tex]
[tex]x = \frac{35}{7} [/tex]
[tex]x = 5.[/tex]
Answer:
[tex] \: 7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]
Hope it helps
Find the domain in the given ordered pairs.
{(2, 3), (3, 5), (6, 7), (8, 9)}
Answer:
saaad
Step-by-step explanation:
Answer:
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Step-by-step explanation:
{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}
The domain is the input and the range is the output
domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}
We put the numbers in order from smallest to largest
Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}
Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Negative StartFraction 4 over 3 EndFraction.
0
StartFraction 4 Over 3 EndFraction.
3
Answer:
The slope is 0 the line is constant.
Step-by-step explanation:
.
The slope of side LN is 0.
What is an isosceles triangle?In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.
Now, in the given isosceles triangle LMN,
Coordinates of vertices are,
L(x₁,y₁) = (0, 1),
M(x₂,y₂) = (3, 5), and
N(x₃,y₃) = (6,1)
The slope of side LN ,
Slope = (y₃ - y₁)/(x₃ - x₁)
⇒ Slope = (1-1)/(6-0)
⇒ Slope = 0
means " LN is a horizontal line".
Thus, the slope of side LN is 0.
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A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)
Given:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
To find:
The expected number of times it land on Red if you spin this spinner 1000 times.
Solution:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. So,
[tex]n+3n+8n=240[/tex]
[tex]12n=240[/tex]
[tex]n=\dfrac{240}{12}[/tex]
[tex]n=20[/tex]
The value of n is 20. It means the spinner land on red 20 times if the spinner was spun 240 times. So, the probability of getting red is:
[tex]P(Red)=\dfrac{20}{240}[/tex]
[tex]P(Red)=\dfrac{1}{12}[/tex]
If you spin this spinner 1000 times, then the expected number of times to getting red is:
[tex]E(Red)=1000\times P(Red)[/tex]
[tex]E(Red)=1000\times \dfrac{1}{12}[/tex]
[tex]E(Red)=83.333...[/tex]
[tex]E(Red)\approx 83[/tex]
Therefore, the expected number of times to land on red is 83.
Sandra needs a new bicycle tire. Her tire has a circumference of about 113,04 inches. What is the radius of her tire?
Answer:
113,04 square root is 10.632027088 divided by Pi
3.38427933228
so the radius of her tire is 3.38
Hope This Helps!!!
• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form
Answer:
5 3/5
Step-by-step explanation:
3 1/2 * 1 3/5
Change to improper fractions
(2*3+1)/2 * (5*1+3)/5
7/2 * 8/5
56/10
Change back to a mixed number
50/10 +6/10
5 +3/5
5 3/5
What is the range of the function f(x)=3/4 (x) -3
The function f(x)=3/4 (x) -3 is a straight line,
so the range of the function is (-∞,∞)
Answered by GAUTHMATH
ТУ
5
Which equation represents the graphed function?
4
0.3)
fo
(3.2)
2.
O y=-3x + 3
o y = 3x - 3
O y= 3x - }
1 2 3
5
X
5 % -3 -2 -11
-2
-3
O y=x+3
15
Answer:
[tex]y = -\frac{1}{3}x + 3[/tex]
Step-by-step explanation:
Required
The graph equation
From the graph, we have:
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (3,2)[/tex]
First, calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{2-3}{3-0}[/tex]
[tex]m = \frac{-1}{3}[/tex]
[tex]m = -\frac{1}{3}[/tex]
The equation is calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -\frac{1}{3}(x - 0) + 3[/tex]
[tex]y = -\frac{1}{3}(x) + 3[/tex]
[tex]y = -\frac{1}{3}x + 3[/tex]
The equation which represents the graphed function is; y = (-1/3)x + 3
Equation of a lineBy observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.
Additionally, the slope of the line can be evaluated by considering the two points given;
Slope, m = (2-3)/(3-0)
Slope, m = -1/3
Hence, the equation of the line is;
y = (-1/3)x + 3Read more on equation of a line;
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Solve for e. 4/3 = -6e - 5/3
Answer:
e = -1/2
Step-by-step explanation:
To solve this problem, our first step is to add 5/3 to both sides of the equation. This gives us:
4/3 + 5/3 = -6e - 5/3 + 5/3
9/3 = -6e
We can simplify the left side of the equation by performing the division.
3 = -6e
Next, we can solve for e by dividing both sides of the equation by -6.
e = -1/2
Therefore, the correct answer is e = -1/2.
Hope this helps!
Answer:
The value of e is -1/2
Step-by-step explanation:
4/3 = - 6e - 5/3
Now, add 6e both side we get,
4/3 + 6e = + 6e - 6e - 5/3
4/3 + 6e = - 5/3
Now, subtract 4/3 from both side we get,
4/3 - 4/3 + 6e = -4/3 - 5/3
6e = -4/3 - 5/3
6e = -4 - 5/3
6e = -9/3
6e = -3
Now, divide 6 from both side we get,
6e/6 = -3/6
e = -1/2
Thus, The value of e is -1/2
-TheUnknownScientist
A unit of gas costs 4.2 pence on averge ria uses 50.1 units of gas a week she pays for the gas she uses in 13 weeks work out an estimsate for the amount ria pays
Answer:
Step-by-step explanation:
Cost per unit of gas = 4.2 pence
Average units of gas used per week = 50.1 units
Total cost of gas per week = Cost per unit of gas × Average units of gas used per week
= 4.2 pence × 50.1
= 210.42 pence
= £ 2.1042
Amount ria pays for gas for 13 weeks = cost of gas per week × number of weeks
= 210.42 pence × 13
= 2,735.46 pence
2,735.46 pence = £ 27.3546
Can someone help me with this math homework please!
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time. 't' represents the number of minutes that would be given.[tex]h(10)[/tex] would be the total altitude over 10 minutes time. To solve for the value, we would replace 't' with 10 and then evaluate.⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
If a apple cost d dollars, which of the following expressions gives the cost for 20 apples in dollars?
Answer:
$ 20d
Step-by-step explanation:
Since each Apple costs d dollars , therefore 20 will cost , $ 20d .
The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.
To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.
Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.
Let's analyze each option:
A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.
B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.
D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.
Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.
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Complete question is:
If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?
A. 20a/d
B. 20d/a
C. a/20d
D. 20/ad
The difference of twice a number and five is three.Find the number.Translate the world problem to an equation.Which steps describe how to solve the equation?
Answer:
Step-by-step explanation:
let the number=x
2x-5=3
2x=3+5
2x=8
x=8/2=4
Which of the following values is closest to the standard deviation for the set
of data shown below?
23, 64, 73, 47, 22, 46, 34, 48, 67, 89, 83, 12, 23, 44, 16
Helpppp and explain :))
Answer:
y = 2x - 7
Step-by-step explanation:
(1,-5) (2,-3)
y2 - y1 / x2 - x1 -3 - (-5) / 2 - 1 2/1 = 2
y = 2x + b
-3 = 2(2) + b
-3 = 4 + b
-7 = b
the a oranial price of a skate broad was reduced by 15 dollars .the new price is 49 dollars if p=the stakebroads oranail price in dollars what mathematical sentence expresses the information
a.49-p=15
b.15-p=49
c.15+p=49
d.p-15=49
Answer:
d)
Step-by-step explanation:
We will get the new price by subtracting the reduction price from the original price.
Original price - reduced price = New price
p - 15 = 49
Answer:
Option D
Step-by-step explanation:
p - 15 = 49
Option D is correct answer
Need help ASAP !!!!!!
answer:
to test whether agraph is linear
An analyst estimates that a share price has an 80% probability of increasing if economic growth exceeds 3%, a 40% probability of increasing if economic growth is positive but less than 3%, and a 10% probability of increasing if economic growth is negative. If economic growth has a 25% probability of exceeding 3% and a 25% probability of being negative, what is the probability that the share price increases
Solve 3x – ly= 11 and -2x – 4y=-26 by elimination
If anyone can help me with this it’d be appreciated
Answer:
(5, 4 )
Step-by-step explanation:
Given the 2 equations
3x - y = 11 → (1)
- 2x - 4y = - 26 → (2)
Multiplying (1) by - 4 and adding to (2) will eliminate the y- term
- 12x + 4y = - 44 → (3)
Add (2) and (3) term by term to eliminate y
- 14x + 0 = - 70
- 14x = - 70 ( divide both sides by - 14 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
3(5) - y = 11
15 - y = 11 ( subtract 15 from both sides )
- y = - 4 ( multiply both sides by - 1 )
y = 4
solution is (5, 4 )
Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.
Step-by-step explanation:
here is the answer to thy question. Feel free to ask for more
i need help multiplying these radicals:) there’s two: A) and B)
Answer:
Step-by-step explanation:
Well lets start with
(3*sqrt 2+ 1)(2*sqrt 3-4)
Lets multiply everything in the second parenthesis by 3*sqrt 2
2 sqrt 3 * 3 sqrt 2 = 6 sqrt 6
-4*3 sqrt 2 = -12 sqrt 2
Now lets multiply everything by 1
1*2 sqrt 3 = 2 sqrt 3
1*-4 = -4
we have
-4 -12 [tex]\sqrt{2}[/tex] + 6 [tex]\sqrt{6}[/tex] + 2 [tex]\sqrt{3}[/tex] as the awnser to problem A
Now lets do problem b
We can start by multiplying everything in the second parenthesis by 2
2*5=10
2*-1 *sqrt 3 = -2 sqrt 3
Now multiply everything in the second parenthesis by 2sqrt3
2sqrt 3 * 5 = 10 sqrt 3
2 sqrt 3 * -1* sqrt3 = -6
Our final awnser is
10-6 +10 sqrt 3 -2 sqrt 3 -> 4+ 8 [tex]\sqrt{3}[/tex]
The awnser to question B is 4+ 8 [tex]\sqrt{3}[/tex]
pls give brainliest
find the missing side of each triangle. i need help!!!
Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is √161 yd
Hope this helps! :)
What percentage of 1hour is 6munites 20seconds
Answer:
1 minute and 12 seconds is 2 % of an hour.
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
URGENT HELP NOW PLEASE QUICKK!!!!
Answer:
(2,-2)
Step-by-step explanation:
Its just (-7+9 , 1-3)
Answer:
P' = (2,-2)
Step-by-step explanation:
P = (-7,1)
T(x,y) = (x + 9, y - 3)
(-7 + 9,1 - 3) = (2,-2)
I need help right now before it due
18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate
Answer:
7/(6 + x) = 3/(6 - x)
Step-by-step explanation:
The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph
The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream
Let x represent the rate of the canoe, we have;
7/(v + x) = 3/(v - x)
Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;
7/(6 + x) = 3/(6 - x).
The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V. Which is an equivalent equation solver for V?
Answer:
v = m/d
Step-by-step explanation:
since
[tex]d = \frac{m}{v} \: \\ \\ v = \frac{m}{d} [/tex]
How do I work this out??
Answer:
quarter 2/ 5
Step-by-step explanation:
find the domain of f(x)=sec(2x)
Answer:
*Refer the image attached
Step-by-step explanation:
*Refer the image attached
A football is thrown from the stadium. The height of this football can be represented by the polynomial -16t2 +32t + 20, where t is the time in seconds. Find the factored form of the polynomial.
A) 4(2t+5)(2t-1)
B) 4(2t-5)(2t+1)
C) -4(2t-5)(2t+1)
D) -4(2t+5)(2t-1)
Answer:
C
Step-by-step explanation:
related equation
-16t^2 + 32t + 20 = 0
-4t^2 + 8t + 5 = 0
Δ/4 = 16 + 20 = 36
t1 = (-4 + 6)/-4 = -1/2
t2 = (-4 - 6)/-4 = 5/2
-16(t+1/2)(t-5/2)
-16(2t+1/2)(2t-5/2)
-4(2t+1)(2t-5)
A circular garden is surrounded by a circular path of 7m width.If the area of path is 770m²,find the area of the garden without path.
help me this question ⁉️
Answer:
Answer:
Radius of the circular garden
= 210 sq
=105m
Radius of the region covering the garden and the path =105m+7m
=112m
Area of the region between two concentric circles
with radius of outer circle R, and inner circle r =π(R sq−r sq)
Hence, the area of the path
=π(112sq−105 sq)= 7/22
(12544−11025)
= 33418/7
=4774m sq
HOPE THIS WILL HELP YOU MATE
