The son is 30 years and the father is 65 years.
Let x represent the present age of the son and y represent the present age of the father.
Hence:
y = x + 35
-x + y = 35 (1)
In 5 years time:
y + 5 = 2(x + 5)
y + 5 = 2x + 10
-2x + y = 5 (2)
Solving equations 1 and 2 simultaneously gives:
x = 30, y = 65
The son is 30 years and the father is 65 years.
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Son = 30 years
Father = 65 years
Present Details:
Son: "s" years (lets consider son's present age to be s)
Father: "s + 35" (father is 35 years older than the son)
After 5 years:
Son: "s + 5" [son will be 5 years older]
Father: 2(s + 5) [twice the son's age] and (s + 35) + 5 = (s + 40) years
Solve father's age simultaneously:
2(s + 5) = (s + 40)2s + 10 = s + 402s - s = 40 - 10s = 30⊕ Thus, the Son is 30 years old.
Father's age:
s + 35 ⇒ 30 + 35 ⇒ 65 yearsFind the equation of the line that has a slope
of -5 and passes through the point (-4, 2)
.Write the equation in point-slope form.
Answer:
y = -5x - 18
Step-by-step explanation:
you have your slope, just set x equal to -4 and your y to 2
2 = -5(-4) + b
2 = 20 + b
-18 = b
How do you solve this??? I need it fast please help with steps.
(x+3)(x+1)^2(x−4)>0
Answer:
x < -3 or x > 4
Step-by-step explanation:
The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).
The factors tell you the following about the zeros:
x = -3 . . . sign change from + to -
x = -1 . . . graph touches, but no sign change. - on either side of x=-1
x = 4 . . . sign change from - to +
__
The function will be positive for x < -3 and for x > +4.
_____
Additional comments
The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.
However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.
The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).
What is:
9e−7=7e−11
Show Work
Answer: -2
Step-by-step explanation:
9e-7=7e-11
-7e -7e
2e-7=-11
+7 +7
2e=-4
/2 /2
e=-2
The answer I need for this question is of how to solve this question and not what x is.
Step-by-step explanation:
You know that all the degrees in a hexagon is 720.
84+87+128+150+103=552
Subtract 552 from 720.
You don't want x so just do 720-552=x
"Four times the difference of a number and
seven is at least -52."
Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after
that. Annalisa made 8 the first day and 12 each day after that.
Based on the amount being made by Manolo and Annalisa every day, the amount both made on the various days were:
Annalisa made 8 bags on Day 1Manolo had made 40 bags by Day 3Annalisa is said to have made 8 bags on the first day so this is the number of bags that should be put in the table for having been made in the first day.
Manolo made 16 bags on the first day and then 12 bags each day after that. The total number of bags made by the third day by Manolo would be:
= 16 + 12 + 12
= 40 bags
In conclusion, Annalisa made 8 bags on Day 1 and Manolo had made 40 bags on the 3rd day.
Find out more about this at https://brainly.com/question/11864663.
Given that 35.8 x 4.23= 151.434
write down a division sum with an answer of 423.
Answer:
151434/358 = 423
Step-by-step explanation:
Every product with non-zero factors can be written as an equivalent division relation.
a·b = c ⇒ a = c/b
Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...
4.23 = 151.434/35.8
We can multiply this by 100 to get a division relation with a quotient of 423:
423 = 15143.4/35.8
If we want, we can move the decimal points another place to the right to get ...
151434/358 = 423
ok how do i show work for this tho lolololoololololollloooooool
Answer:
y=[tex]\frac{1}{5}[/tex]x is linear
Step-by-step explanation:
4x-3y=7y+2x
collect like terms
4x-3y-7y-2x=0
2x-10y=0
simplify
x-5y=0
rewrite it in slope intercept form
y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line
An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposits or withdrawals are made?
Answer:
$2,382.03
Step-by-step explanation:
Interest = Principal x Rate x Time
A jar contains 28 marbles, of which 3 are blue, 10 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answer:
17
Step-by-step explanation:
17 green marbles!
Answer: r=1:18 PREMISES If a jar contains 18 marbles consisting of 15 blue, 2 red, and the rest green, then r=the ratio of green marbles to all of the marbles ...
4 answers
·
1 vote:
Let g= number of green marbles. Blue +red + green = All marbles. So 18
Step-by-step explanation:
2. You have 7 folders and you want to put the same number of pages in each folder.
a. If you have a total of p pages, how many pages will be in each folder?
b. Evaluate your expression to calculate the number of pages in each folder if you have 147 pages or
245 pages.
Answer:
a. p/7
b. 21; 35
Step-by-step explanation:
To find the number of pages in each folder, divide the number of pages by the number of folders.
a. There will be p/7 pages in each folder.
b. 147 pages will result in 147/7 = 21 pages in each folder
245 pages will result in 245/7 = 35 pages in each folder
Please help y=30x - 30x^2 - 72
Answer:
a. 4, 6
b. -72
c. (5, 3)
d. Graph A
Step-by-step explanation:
a.To answer these questions, it is useful to start by factoring the equation.
y = -3x² +30x -72 . . . . given
y = -3(x² -10x +24) . . . . factor out leading coefficient
y = -3(x -4)(x -6)
The x-intercepts are the values of x that make the factors zero:
x = 4, 6
__
b.The y-intercept is the constant in the equation: -72.
__
c.We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.
y = -3(5 -4)(5 -6) = -3(1)(-1) = 3
The vertex is (5, 3).
__
d.The graph that has the correct vertex and x-intercepts is Graph A.
9. On a standardized test where the results are distributed normally, Elliete scored a 246. If the mean score was
a 182 with a standard deviation of 36, then what is Elliete's percentile rank (percent less than or equal to 246)
rounded to the nearest whole percent? Explain how you arrived at your answer.
Elliete's percentile rank is 96% for a score less than or equal to 246
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 182, σ = 36
For x ≤ 246:
[tex]z=\frac{246-182}{36}=1.78[/tex]
From the normal distribution table:
P(x ≤ 246) = P(z < 1.78) = 0.9625 = 96%
Elliete's percentile rank is 96% for a score less than or equal to 246
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What is 3 divided by 7 pretty confused since I was on break for a long time
Answer:
3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)
Answer:
It’s a decimal, (0.42857142857)
Step-by-step explanation:
7/13 as a decimal rounded to the nearest hundredth
Answer:
0.54
Step-by-step explanation:
Answer:
0.54
Step-by-step explanation:
calculator. easy.
The length of a rectangle is 3 less than twice the width. If the perimeter is 18 cm, what is the area? Show your work and solve using either substitution or elimination.
Answer:
Step-by-step explanation:
1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as
L = 2W + 3
where "twice the width" is 2W and "three more" is just adding 3.
2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle
P = 2W + 2L
set the formula to 36 and that gives us our second equation: 36 = 2W + L
then use substitution do solve
Reed compró 1.8 libras de frijoles. Los frijoles cuestan
$1.27 por libra. ¿Cuál fue el precio total de los frijoles que compro Reed?
Answer:
1.27? :v
Step-by-step explanation:
porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.
!!!NEED ANSWERS ASAP!!!! simplify 15 ÷ 3 +2 x 10
Answer:
70
Step-by-step explanation:
because 15 divided by 3 is 5+2=7 and 7 x 10=70
aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have?
Answer:
answer 215 nickels
Step-by-step explanation:
PLEASE HELP!!!!!!.....
Answer:
x=2
Step-by-step explanation:
hope this helps! :D
to everyone reading this: have a miraculous day!! <3
Answer:
x=2
Step-by-step explanation:
..............
✌️❤️✌️
I need help, can someone explain #4,5,6 in full detail. (I'm very visual)
Answer
4= 55 and 3/4 5= 4 2/5 6= 6 and 1/2
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
I did #4 for you:
[tex]11\frac{8}{9}+5\frac{1}{2}[/tex]
[tex]11+5+\frac{8}{9}+\frac{1}{2}[/tex]
[tex]16+\frac{16}{18}+\frac{9}{18}[/tex]
[tex]16+\frac{24}{18}[/tex]
[tex]16+\frac{4}{3}[/tex]
[tex]16+1+\frac{1}{3}[/tex]
[tex]17\frac{1}{3}[/tex]
It really helps to break up the mixed numbers into parts and change the fractions so they have the same denominator. Try to do #5 and #6 the same way I did.
Complete the tables of values. X 4â’x â’1 4 0 a 2 b 4 c a = b = c = x ( 2 3 ) x â’1 3 2 0 d 2 e 4 f d = e = f =.
The corresponding values of d, e ad f are 1, 1/16, and 1/256 respectively
Find the table of values attached. From the given table the function of the output is expressed as [tex]g(x) = 4^{-x}[/tex]
If x = 0, then;
[tex]g(0) = 4^{-0}\\g(0) = 1/4^0\\g(0)=1/1 = 1\\[/tex]
If x = 2
[tex]g(2) = 4^{-2}\\g(2) = 1/4^2\\g(2)=1/16[/tex]
If x = 4;
[tex]g(4) = 4^{-4}\\g(4) = 1/4^4\\g(4)=1/256[/tex]
Therefore the corresponding values of d, e ad f are 1, 1/16 and 1/256 respectively
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Answer:
a = ⇒ 1
b = ⇒ 1/16
c = ⇒ 1/256
d = ⇒ 1
e = ⇒ 4/9
f = ⇒ 16/81
What is the angle, in degrees, when the coordinate is [tex](-\sqrt{2} /2), \sqrt{2} /2)[/tex] ? Pls help thanks
Answer:
135°
Step-by-step explanation:
seg AB=seg OB
tan ∠AOB = 1
∠AOB = 45°
∠AOC = 135°
Which of these shapes have an area
Answer:
Shape 2 and 3
Step-by-step explanation:
shape 1 is not enclosed so it cannot have area
how many liters of a 30% antifreeze solution need to be added to 10 L of a 57% antifreeze solution to get 50% antifreeze solution. round to two decimal places.
HELP!!!!!
M
list the sides of ABC in order from shortest to longest
M list the sides of ABC in order from shortest to longest
Answer:Sum of angles in a triangle = 180
Angles A + B + C = 180
80 + 3x + 5 + 5x - 1 = 180
3x + 5x = 180 - 80 - 5+1
8x = 96
x = 96/8
x = 12
So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59
Angle A = 80, B = 41, C = 59
So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.
So from the smallest to biggest side:
AC < AB < BC
Arigatou gozaimasu!!
Which is the most accurate way to estimate 66% of 14?
Answer:
9.1
Step-by-step explanation:
Typically when a question starts with which that means there are several options to choose from. Or multiple choice. Since you haven't provided that here, I'll tell you how I would estimate it.
50% of 14 is 7
10% of 14 is 1.4
5% of 14 is 1/2 of 10% of 14 which is 0.7
50% + 10% + 5% = 65%
Add them together: 7+1.4+0.7 = 9.1
The equation `F=\frac{9}{5}C+32` relates temperature measured in degrees Celsius, `C`, to degrees Fahrenheit, `F`. Determine whether there is a proportional relationship between `C` and `F`. Explain or show your reas
Answer:
No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.
Step-by-step explanation:
The formula is
F=(9/5) C+ 32
F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.
In mathematics, a direct proportion has the form
y=mx
where m is a constant.
If the formula had been F=(9/5) C, it would have been a direct proportion.
However, the addition of the + 32 term makes the formula no longer a direct proportion
Replace the emojis with the correct numbers! Each emoji is worth the same amount each problem. (Example: Snowman is worth the same in each problem)
☃️ + ⭐ = 20
+ ☃️ = 8
⭐ = ?
the function f(x) = log 0.5 is decreasing.
true or false?