a father is 24years older than his son. if the son is x years old, how old is the father and if the ratio of their ages is 5:2, what is the age of the son?
x+25/x=5/2
5x=2(x+24) 5x=2x+48
5x-2x=48
3x=48 3x/3=48/3
the age of son=16
father=24+x 24+16=40
F=40 s=16
40/16=5:2
What is the value of X?
Answer:
It is 23
Step-by-step explanation:
BC= FE
(x-4)=19
Therefore x= 23
What is −4|a - 13| ≤ −56?
Answer:
a ≤ 27
Step-by-step explanation:
A baseball is hit in the air. Its height above the ground is described by the function
Ht=-16t^2+45t+5, where H(t) represents the height in feet of the ball t seconds after it is hit. To the nearest hundredth of a second, for how much time will the ball be in the air? Find algebraically.
help guys plz i suck at math, also step by step is needed Branliest is the reward like always
Answer:
2.9195
Step-by-step explanation:
To find the time we need to equate the function the zero and solve for t:
[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]
Using the general formula we have that:
[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]
then:
[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]
Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.
Manakah bilangan berikut yang bernilai antara 1/3 dan 1/4?
a. 0,34
b. 0,29
c. 0,25
d. 0,22
e. 0,18
CARA DAN PENJELASAN YA PLIS
Step-by-step explanation:
The answer is B and C
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
find the value of x. round to the nearest tenth. the diagram is not drawn to scale
Factor 60y - 90 - 20x to identify equivalent expressions
Answer:
10(6y−9−2x) and 5(12y−18−4x)
Answer: 10(60y/10 - 90/10 +-20x/10)
graph the point (-10,-7) on the coordinate plane
The perimeter of triangle ABC is 36 cm. Its sides are proportional to the numbers 3, 4 and 5. Find the sides of the triangle.
Answer:
3x+4x+5x=36
12x=36
x=36/12
x=3
3x=3 into 3=9
4x=4 into 3=12
5x=5 into 3=15
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
11 people were given 15% off in the afternoon
11 is the lowest number in the entire chart
Answer:
a
Step-by-step explanation:
Brainly for the correct answer!
Is [tex]\frac{1}{0}[/tex] a real fraction?
Answer:
No
Step-by-step explanation:
There is no numerator, no denominator, no division symbol because it is not a legal fraction. The denominator can never be zero in any fraction.
Find the first 5 terms in the following sequence:
Answer:
23,30,37,44,51
Step-by-step explanation:
an = an-1 +7
We know a1 =23
a2 = a1 +7 = 23 +7 =30
a3 = a2 +7 = 30+7 = 37
a4 = a3+7 = 37+7 = 44
a5 = a4+7 = 44+7 = 51
The first 5 terms
23,30,37,44,51
plsss help i’ll give brainliest if you give a correct answer
Answer:
y=15
Step-by-step explanation:
Answer:
y=15
Step-by-step explanation:
To find y:
8y=120 –––Divide both sides by 8 so you can get y alone
y=15
The measure of angle CBD is 140 degrees. What is the measure of angle CBA?
B
Answer:
its a acute 120 degree angle
trigonometry please help! work need to be shown
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
True or false: if two parallel lines are cut by a transversal, each pair of alternate angles are congruent?
Answer: True.
If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
Directions Find the value of each variable
Answer:
X= 2 sqrt of 7
Y=2 sqrt of 7
Step-by-step explanation:
I just know the answer srry
james bought an ipad for $450 his friends carl buys the same one for 12% off how much did carl pay
Answer:
$365.99
Step-by-step explanation:
$450 - 12% = $365.99
Can someone help me with this. Will Mark brainliest.
Answer:
The lines are perpendicular.
Step-by-step explanation:
If the lines are parallel, then the slopes are equal
If the lines are perpendicular, then the slopes are negative reciprocals
If neither of the above occur, then the lines are neither parallel or perpendicular.
y = 2x + 3 is in slope-intercept form, so the slope = 2
2y + x = 6
Solve for y: 2y = -x + 6
y = -1/2(x) + 3 so the slope = -1/2
2 and -1/2 are negative reciprocals, so the lines are perpendicular.
Note: Negative reciprocals have a product of -1. 2(-1/2) = -1
The base of a rectangular pyramid is 13 inches long and 12 inches wide.
The height of the pyramid is 8 inches. What is the volume of the
pyramid?
Answer:
Area = 1/2 (Base) (Height)
Area = 1/2 (12 in) (8 kn)
Area = 1/2 (96 in)
Area = 48 in^2
Volume = (Area) (Length)
Volume = (48 in^3) (13 in)
Volume = 624 in^3
Answer:
V=L•W•H
3=13·12·8
3=416
=416³
Step-by-step explanation:
Finding the Volume of a Rectangular Pyramid
Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height.
If the cube has a side length s, then each pyramid has an s by s base and height s/2, and its volume is 1/6 the volume of the cube, which is 1/3 base times height. ... They are congruent, so have volume 1/3*base*height as the base is a square the side of the cube and the height is the side of the cube as well.Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.#CarryOnLearning
Please help I will give brainliest
Answer:
x ≥ -6
Step-by-step explanation:
The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)
Find the Equation of the lines.
Ahmed doubled his savings, then deposited another hundred dollars. Let s represent the amount he originally had in savings. Which shows an expression to represent his current amount and the current value of his account if s = 80? StartFraction s Over 2 EndFraction + 100; when s = 80 the latest balance of Ahmed's savings is $140 2 s + 100; when s = 80 the latest balance of Ahmed's savings is $260 s squared + 80; when s = 80 the latest balance of Ahmed's savings is $6,480 s squared + 100; when s = 80 the latest balance of Ahmed's savings is $6,500
Answer:
2s + 100; when s = 80 the latest balance of Ahmed's savings is $260
Step-by-step explanation:
s = amount he originally had in savings
doubled his savings, then deposited another hundred dollars
2s + 100
If s = 80
2s + 100
= 2(80) + 100
= 160 + 100
= 260
2s + 100; when s = 80 the latest balance of Ahmed's savings is $260
What is the arc measure of minor arc AB on circle P in degrees?
Answer:
AB = 74°
Step-by-step explanation:
Minor arc AB is equal to the measure of the central angle APB , then
∠ APB = 360° - 286° = 74° , thus
minor arc AB = 74°
Arc measure of minor arc AB on circle P = 74 degrees
In the given circle,
Arc measure of major arc = 286 degree
Since we know that,
Measure of complete circle = 360 degree
Therefore,
Angle of minor sector = 360 - 286
= 74 degree
We also know that,
A circle sector is a segment or component of a circle made up of an arc and its two radii. A circle's sector can be compared to the form of a pizza slice. A sector is generated when two circle radii meet at both ends of an arc. An arc is merely a part of the circle's circumference.
Since,
Angle of sector = measure of arc
Hence,
Measure of minor arc = 74 degree.
Learn more about the circle visit:
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A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 3 stocks?
Answer:
There are 27 different possible outcomes.
Step-by-step explanation:
Assuming that you have 3 different stocks:
First, we need to find the number of events and the number of possible outcomes for each event.
Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:
Stock 1: 3 options (up, down, stay)
Stock 2: 3 options (up, down, stay)
Stock 3: 3 options (up, down, stay)
The total number of possible outcomes is equal to the product of the numbers of options for all the events.
Then the total number of possibilities is:
C = 3*3*3 = 27
Please help me out! (Find the measurements of the following angles. Fill in the blanks with your answer. Your answer should be numerical)
the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?
Answer:
9mm
Step-by-step explanation:
34-16=18
18/2=9
Dividend:
2x3 + 11x2 + 18x + 9
-6x3 - 15x - 9
2x2 + 5x + 3
Quotient:
2x4 + 11x3 + 18x + 9
2x3 + 5x2 + 3x
2x2 + 5x + 3
Answer:
Divisor-D Dividend- A Quotient-C
Step-by-step explanation:
It is to be noted that in the subtopic of Polynomials, a dividend is the factor or element being divided while the element that results from the division of one number using another is called the quotient.
What is a Divisor?In mathematics, a divisor is a factor or number that divides another leaving no remainder.
That is Dividend/Divisor = Quotient. It is important to note that in Polynomials, there is usually more than one similarity as far as the terms are concerned.
The full question is unavailable hence the general answer.
Learn more about dividends at:
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A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height at any given time, t. what is the maximum height the dolphin jumps?
a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet
Answer:
d) 100 feet
Step-by-step explanation:
The x value of the vertex (highest point in this case) is found via -b/2a:
-80/-32 = 2.5
Plug 2.5 into the function:
h(2.5) = -16(2.5)² + 80(2.5)
= - 100 + 200 = 100
Amy’s dog weighs 14 pounds.
What is the dog’s weight in ounces?
30
64
210
224
Answer:
64
Step-by-step explanation:
thats all my answer...
Answer:
16 ounces in a pound
14 x 16= 224 ounces