The sum of two numbers is 1633 and their difference is 35. Find the 2 numbers using simultaneous equation.
Please show working out
Answer:
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834 and 799
Step-by-step explanation:
x+y=1633
x-y=35
2x= 1668
x=834
y=799
Answer:
((819.458,813.542)
Step-by-step explanation:
sum of two numbers=1633
x+y=1633----equation (i)
their difference=35
(x-y)^2=35----equation (ii)
solve simultaneous equation by using substitution method
x+y=1633
make x the subject of the formula
x=1633-y---(i)
substitute equation (i)into (ii)
(x-y)^2=3
(1633-y-y)^2=35
(1633-2y)^2=35
apply square root both sides
√(1633-2y)^2=√35
1633-2y=√35
-2y=√35-1633
-2y=-1627.08392
divide both sides by -2
y=813.5419601
substitute the value of y in equation (i
x=1633-y
x=1633-813.5419601
x=819.4580399
therefore the two numbers are (819.458, 813.542)
Jim and Carla are scuba diving. Jim started out 8 feet below the surface. He descended 20 feet, rose 7 feet, and descended 12 more feet. Then he rested. Carla started out at the surface. She descended 15 feet, rose 7 feet, and descended another 20 feet. Then she rested. Which person rested at a greater depth?
Answer:
Jim.
Step-by-step explanation:
Descending results in a greater depth so we add the measurements when they descend and rising results in a lower depth so we minus the measurements when they rise. The surface area has no depth yet, so it is 0 feet depth.
Jim = 8 + 20 - 7 + 12
= 33
Carla = 0 + 15 -7 + 20
= 28
Since 33 feet is deeper than 28 feet, Jim rested at a greater depth.
A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?
Answer:
4 kilometrs
Step-by-step explanation:
if you add the 2 to another 2 you get four
Answer:
4 kilometres
Hope this helped!
NEED HELP ASAP PLEASE!
Answer:-2
Step-by-step explanation:
-y+2x=-1 needs to be changed to y=-2x-1 so that you can set the two equation equal to each other in order to solve for x. That makes it -2x-1=1/2x+4
-4= -4
-2x-5 = 1/2x
+2x = +2x
-5 = 2.5x
div. 2.5 div. 2.5
X= -2
Check: y= -2(-2)-1 Y=3
y=1/2(-2)+4 Y=3
what's b ? plz help
58 i think
58*2+64=180
-x + y = 5
x - 5y = 2 ---> x= 5y + 2
I have solved the second equation for x. What is the next step if solving this system with substitution?
A. -(5y+2) + y = 5
B. -x + y = 5 + 5y + 2
C. None of the Above
D. -x + 5y + 2 = 5
Answer:
A. -(5y+2) + y = 5
Step-by-step explanation:
Solving the above Equation given to us in the Question,
-x + y = 5...... Equation 1
x - 5y = 2....... Equation 2
Step 1
We make x subject of the formula in Equation 2
---> x= 5y + 2
Step 2
This would be to substitute 5y + 2 for x in Equation 1
-x + y = 5...... Equation 1
-(5y+2) + y = 5
Hence, Option A is the correct option
Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54
Answer:
The Answer is D 30:54
Step-by-step explanation:
5 times 6 is 30 and 6 times 9 is 54
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
During an airplanes ascent, the plane reaches a horizontal distance from the airport of 1 km and then 7 km. The plane ascends at a slope of 2/3. Find the vertical distance (y) in feet that the plane traveled during the indicated spots
Answer:
The vertical distance in feet that the plane traveled was 4 Km
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}[/tex]
Operating:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}[/tex]
Solving for y2-y1, we get the vertical distance traveled by the plane:
[tex]\displaystyle y_2-y_1=6*\frac{2}{3}=4[/tex]
Thus, the vertical distance in feet that the plane traveled was 4 Km
If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)
A. 4x3 − 31x + 154x3 − 31x + 15
B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15
C.4x3 − 19x + 154x3 − 19x + 15
D.4x3 + 20x2 − 19x +15
Answer: 4x³-19x+15
Step-by-step explanation:
We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).
[tex](2x+5)(2x^2-5x+3)[/tex] [distribute by FOIL]
[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex] [combine like terms]
[tex]4x^3-19x+15[/tex]
Now we know [tex]4x^3-19x+15[/tex] is the correct answer.
BBBBBBBVVVVVBBBBBBBBBBVV
Answer:
A. 8(4+2)
Step-by-step explanation:
have a nice day
A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?
Answer:
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Red counters: 120/4=30
Blue counters:120/5=24
Green counters:30+24=54, 120-54=66
what is the answer to 3(4x-5)
Answer:
12x - 15
Step-by-step explanation:
3 times 4x is 12x
3 times -5 is -15
therefore, 12x - 15
What is the place the 8 is in in the number 38,341,097.54
what is the range of the data 79, 52, 85,94, 71, 82, 84, 66, 58, 98, 72, 100
Answer:
48 pllz can i have brainiest plzz
Step-by-step explanation:
Answer:
48 is a answer
Step-by-step explanation:
formula for range is highest - lowest
100 - 52
48
Ani teaches 25% of the 4 year-olds at her school. There are 60 4-year- olds. Ani also teaches 20 3-year- olds. How many students does Ani teach altogether ?
Answer:
[tex]35[/tex] students
Step-by-step explanation:
Given information:
- There are 60 4 year-olds, Ani teaches 25% of them.
- Ani also teaches 20 3 year-olds.
Total students:
[tex]25\%\times60 = 15[/tex] 4 year-olds
[tex]15+20 = 35[/tex]
∴ Ani teaches [tex]35[/tex] students in total
Hope this helps :)
Micah who is not yet 15 years old, is two years older than DeMonte.
How old is DeMonte?
x = the age of Micah
y = the age of DeMonte
Answer:
DeMonte is 12
Step-by-step explanation:
If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.
The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area
Answer:
12 ft²Step-by-step explanation:
Givenl = 3wP = 16A = ?SolutionUse perimeter formula
P= 2(l + w) = 2(w + 3w) = 8wFind width:
8w = 16 ⇒ w = 2 ftFind length:
l = 3*2= 6 ftFind area:
A = lw = 6*2 = 12 ft²HELP ILL GIVE BRAINLIEST
Answer:
The bottom right table
Step-by-step explanation:
the movie theater has 250 seats 200 seats were sold for the current showing what percent of seats of seats are empty
Answer:
80%
Step-by-step explanation: Because if 20% of 250 equal 50 then 200 is 80% because adding 4 50 is 200.
Answer:
80%
Step-by-step explanation:
what ever he /she said
What is the equation to a line with a slope of -3 and a y-intercept of 8?
Answer:
y=-3x+8
Step-by-step explanation:
y=mx+b
(m=slope and b=y-intercept)
Answer:
Step-by-step explanation:
let’s use this equation y = mx + b
where m = slope
and b = y intercept
since slope is -3, m = -3
and since y intercept is 8, b = 8
so the equation is
y = -3x +8
At Carly's Pancake House there are 39 dirty coffee mugs and 21 clean coffee mugs. What
percentage of the coffee mugs at the pancake house are dirty?
Answer:
65%
Step-by-step explanation:
What you need to do is add both the clean and the dirty mugs together to get a total amount of mugs (60) and then divide 39 by 60 because you are dividing the mugs that you want to find the percentage of by the total amount of mugs. The equation would look like this:
39/60=0.65
therefore, the answer is 65%
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
Help? I would appreciate it
Answer:
$6.50 per candle
Step-by-step explanation:
19.50 / 3 = 6.50
Answer:
$6.50
Step-by-step explanation:
$19.50 divided 3 is 6.50
transversals angles
[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]
12 points
8. Javier worked out the following on his math homework: "What
equation best represents the relationship between x and y in the graph?"
Javier's answer was y= - 4x - 2. Is he correct? If not, explain what he did
wrong AND give the correct answer. (This question will be hand graded) *
1096
2716810
M
What is the slope of the line whose equation is: y = 2/5x - 5?
BD is a semicircle.
Answer:
Well... That's a statement, not a question...
Please help fast I will give brainless an extra points!
Answer:
-23
Step-by-step explanation:
h(-3) = (-3)^3 + 4
= -27 + 4
= -23
Answer:
-23 hope that helps :)
Step-by-step explanation: