Answer:
Dad=35, Son=15
Step-by-step explanation:
Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:
x+20−5=3(x−5)
x+15=3x-15
x=15
So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!
What is the value of the digit 6 in this number? Write your answer in number form.
647,013,020
Answer:
6= six hundred million.please this is quiz due in a hour ill up the points
Answer:
DE and DF are equal to 2√2
Step-by-step explanation:
According to the 45-45-90 triangle rule, the hypotenuse is equal to the legs times √2, so in order to find the legs, you have to divide 4 by √2 to get 2√2.
Angle A and Angle B are a linear pair . Angle A = (3x + 15) degrees . Angle B = (5x - 11) degrees . Find the measure of Angle B.
Mary has $6,000 saved for her college education. She invested that money at 2.3% interest per year. Suppose her account earned interest compounded annually. How much interest would she earn in 3 years?
Answer:
Interest= $423.59
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $6,000
Number of periods (n)= 3 years
Interest rate (i)= 2.3% = 0.023
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 6,000*(1.023^3)
FV= $6,423.59
Now, the interest earned:
Interest= 6,423.59 - 6,000
Interest= $423.59
What is the equation in point-slope form for the line through the given point with the given slope? (8, 3); m = 6
Answer:
y - 3 = 6(x - 8)
Step-by-step explanation:
slope point form :<
What is the value of r?
r= 4 ft
r= 8 ft
r = 16 ft
r = 32 ft
R=8ft
Step-by-step explanation:
Calculate r using the given formula
r = , with Area = 64π
r = ← cancel π on numerator/ denominator
r = = 8
The required value of radius of circle r is 8 ft
From Figure the area of circle is = 64π, we have to find the radius of the circle.
What is area of circle?Area of the circle is = π[tex]r^2[/tex]
since
the area of the circle is given = 64π
And,
Radius = √area/π
radius= √64π/π
Radius = √64
Radius = 8 ft
Thus The required value of radius of circle r is 8 ft.
Learn more about circle here:
https://brainly.com/question/11833983
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Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit. a. Draw a line to show the relationship between the number of hours a bike is rented, x, and the total cost of renting a bike, y.
Answer:
(see image)
Step-by-step explanation:
PLEASE HELP TIMED!!!!
Factor the following expression: -4W + 32
Answer:
The answer is -4 ( W - 8 )
I hope this helps you
Answer:
-4(w-8)
at first when you look at it you know you cant add then because 32 have a variable but to get -4w+32 you will have to do -4(w-8)
hope that helped
63 is 75% of what number? Enter your answer in the box.
Answer:
n = 84
Step-by-step explanation:
63 = n x 3/4
n = 63 / (3/4)
n = 63 / 3 x 4
n = 21 x 4
n = 84
Hope that helps!
The diameter of a cylinder is 26 yards. Find the volume of the cylinder, if it's height is 29 yards.
Answer:
15389.14
Step-by-step explanation:
You may need to round
4901 without pi
Three charges are located at the vertices of a triangle, as shown. An isosceles triangle lying on its side. The two charges at the corners of the base of the isosceles triangle are labeled +5 C and +10 C. The top of the triangle is labeled +4 C with 4 vectors from it. The one east is labeled Y, the one west is labeled W, the one northeast is labeled X and the one southeast is labeled Z. Which vector best represents the net force acting on the +4 C charge in the diagram? W X Y Z
Answer:
y
Step-by-step explanation:
The ratio of yellow flowers to the total number of flowers in a bucket is 5 to 9. How many flowers are yellow if there are 45 lowers in all
Answer:
There are 25 yellow flowers.
Step-by-step explanation:
The ratio is yellow/all and 5/9.
We know that all the flowers in total equal 45, which is a multiple of 9.
So 45 divided by 9 = 5.
So all I had to do was multiply 5/9 times 5/5.
So then we get the ratio of 45 total flowers with 25 yellow flowers.
Hope this helps!
can anyone solve please
Answer:
1) f = 16
2) h = 10
Step-by-step explanation:
all interior angles of a triangle add up to 180 degrees.
1) 46 + 67 + (4f+3) = 180
reduce:
4f+3 = 67
4f = 64
f = 16
2) 60 + 3h + 90 = 180
3h = 30
h = 10
Betsy has $4.25 and her brother has $16.00 they want to buy two water guns that cost $12.99 each and a bag of water balloons that cost $4.79. Do they have enough money if so how much money will they have left over. If not how much more money will they need?
Answer:
No they don't have enough money, they need $10.52
Step-by-step explanation:
So first, you will add 4.25+ 16.00 = $20.25 < This is the amount they have.
Second, they want two water guns so 12.99 x 2 = 25.98 < This is the price for the water guns.
Then, add the price of the water ballons to the guns which is $30.77 < This is the cost for everything they want to buy.
Subtract $30.77 from $20.25 to recieve the answer of $10.52
Hope this helps!
there are 4 triangles, 12 sqaures and 6 circles. What is the ratio of squares to circles? Simplify.
Answer:
12 to 6
12:6
Step-by-step explanation:
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.
Which diagram best represents the story? Explain why the diagram represents it.
What part of the story does
x
represent?
Describe how you would find the unknown amount in the story
Answer:
Let's define the variable x as the number of apples in each bag.
We know that she bought 4 bags, then the total number of apples that she has is:
Apples = 4*x
Now she eats one apple for each bag, then she eats 4 apples, so she now has:
Apples = 4*x - 4
And we know that this is equal to 28, then:
4*x - 4 = 28
now we can solve this for x.
4*x = 28 + 4 = 32
x = 32/4 = 8
x = 8
There are 8 apples in each bag.
For the diagram part, by a small online search y found the image that you can see below.
The diagram that correctly represents this situation is diagram C, where x represents the number of apples in each bag.
The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h
Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
Answer:
pictures
Step-by-step explanation:
20 characters 7273959272849942883292
3N and 3N+3 are two consecutive multiples of three.
a The sum of the two numbers is 141. Write down an equation to show this.
b Solve the equation to find the value of N
c Work out the values of the two initial numbers.
Answer:
Step-by-step explanation:
a) 3n+3n+3=141, 6n+3=141
b) 6n+3=141, 6n=138, n=23
c) 3n and 3n+3, 3(23) and 3(23)+3, 69 and 72
Jamal is helping pack prize bags for the school carnival. He has 73 pencils to put into 16 bags. He wants to put the same number of pencils in each bag. How many pencils should he put in each bag?
Answer:
4
Step-by-step explanation:
I73/16 = 4.52
If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52
Evaluate 3x + 4y when x = 2 and y = 5
Answer:
26
Step-by-step explanation:
3*2+4*5=6+20=26
Skylar invested $3,100 in an account paying an interest rate of 3.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, , for the value of the account to reach $4,720?
Answer:
13
Step-by-step explanation:
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matematicas. doy corona
Answer:
b=12
Step-by-step explanation:
3b +24= b +48
-24 -24
3b = b+ 24
-b -b
2b = 24
÷2 ÷2
b=12
I need the answer please
Answer:
missing angle = 41, b. 45, c. 72
Step-by-step explanation:
A circle has 360 degrees, so add all of the existing angles
48+45+129+97 = 319 and 360-319 = 41
25/200 = 12.5% so 12.5% of 360 = .125x360 = 45
Sector 129 represents 129/360 = 35.83% so 200x.3583=72 cars
find the nth tearm
-5 -2 3 10 19
Given :
The sequence is -5 , -2 , 3 , 10 , 19 .
To Find :
The nth term of the given sequence .
Solution :
Difference between first 2 terms :
-2 - ( -5 ) = 3 1 term
3 - ( -2 ) = 5 2 term
10 - 3 = 7 3 term
19 - 10 = 9 4 term
From the above observation we can say that difference is increasing in odd number .
So, the nth term will be :
[tex]a_{n+1}= -5 + (2n+1)[/tex] for n greater than equal to 0.
Hence, this is the required solution.
3 and 4 guys! Please help! I suck at this
Answer
# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)
Step-by-step explanation:
Hope that helped :)
how do i simplify this problem?
Answer:
[tex]9x \frac{19}{4}[/tex]
Step-by-step explanation:
Given Expression:
[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]
Simplification:
[tex]9x\frac{19}{4}[/tex]
Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).
Answer:
y = 2/5x + 33/5
Step-by-step explanation:
(-9,3) and (1,7)
m=(y2-y1)/(x2-x1)
m=(7-3)/(1+9)
m=4/10
m = 2/5
y - y1 = m(x - x1)
y - 3 = 2/5(x + 9)
y - 3 = 2/5x + 18/5
y = 2/5x + 33/5
(60 points)--------------------
Answer:
2 and 3 dear friend
Step-by-step explanation:
Answer:
be more clear pls- is it multiple choice orrr? that's all I need to know to answer it.
Step-by-step explanation: