Answer:
i) 4x
ii) Father's age = 3(x + 10)
Son's age = x + 10
iii) 4x + 10 = 3(x + 10)
iv) Present age of the son = x = 20
Present age of the father = 4x = 4(20)
= 80
Step-by-step explanation:
Present age of the son = x
Present age of the father = 4x
Age of the son in 10 years = x + 10
Age of the father in 10 years = 3(x + 10)
4x + 10 = 3(x + 10)
4x + 10 = 3x + 30
4x - 3x = 30 - 10
x = 20
What is the result of converting 60 ounces to punds remember there are 16 ounces in a pound pleasdnsjjsjs
Answer:
A. 3.75 pounds
Step-by-step explanation:
16 ounces = 1 pound
converting 60 ounces to pounds
Let x = number of pounds
60 ounces = x pounds
Find the proportion
16 / 1 = 60 / x
Cross product
16 * x = 1 * 60
16x = 60
Divide both sides by 16
x = 60/16
x = 3.75
Therefore,
60 ounces = 3.75 pounds
answer needed fast! 15 points! in how many ways can 85 be written as the sum of 2 primes
Which property of math is the young student learning with the following equation? 3 x (4 + 7) = (3 x 4) + (3 x 7)
The property of math they are learning is the distributive property
The ages of Raju and Ravi arw the ratio of their ages will be 4:5 . Find their present ages.
Answer:
Step-by-step explanation:
The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.
Ratio of ages at present = 3:4
Age of Raju = 3x
Age of Ravi = 4x
Age after four years:
Raju's age = 3x + 4
Ravi's age = 4x + 4
Ratio of ages after four year = 4 : 5
3x +4 : 4x + 4 = 4 : 5
(4x + 4)*4 = (3x + 4)*5
16x + 16 = 15x + 20
Subtract 16 from both sides
16x = 15x + 20 - 16
16x = 15x + 4
Subtract 15x from both sides
16x - 15x = 4
x = 4
Age of Raju = 3x = 3*4 = 12 years
Age of Ravi = 4x = 4*4 = 16 years
WILL GIVE BRAINLIST!
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (0, 6) and coordinates (1, -2)
Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-2-6)/(1-0)
m = -8/1
m = -8
The slope is -8
We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.
Put another way: slope = rise/run = -8/1
rise = -8 and run = 1.
Answer:
-8
it's easy just use the equation y2-y1 ÷ x2-x1
Please help me with this one.. it's due today!!!
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Hi!
[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]
What is the equation of the following line?
(-4, 8)
(0,0)
Answer
Step-by-step explanation:
y = -2x + 0
Therefore; y = -2x
Can someone help with problems fivethroughseven
Answer:
5) 15120
6) 11880
7) 336
Step-by-step explanation:
The formula for permutation where mPn is m!/(m-n)!
Applying this to question 5, we get 9!/4!, which is 15120.
For question 6, we get 12!/8!, which is 11880.
For question 7, we get 8!/5!, which is 336.
the temperature at the foot of a mountain is 5.9 ° C. The temperature decreases by 1.7 ° C for every increase of 200m in height. If the height of the mountain is 1000m, what is the temperature at the top of the mountain?
find the sin in the triangle
Answer:
.324 or 18.9 degrees
Step-by-step explanation:
rule is
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
OR
soh cah toa
sine = soh = 12/37 = .324
arcsin(.324) or sin^-1(.324) in DEGREES not radians =
18.9 degrees
Bạn đang kiểm toán khoản mục nợ phải trả của Công ty Hoàn Vũ cho niên độ kết thúc ngày 31/12/200x. Trên bảng cân đối kế toán, có 1 khoản nợ phải trả như sau: - Tiền lương lũy kế phải trả công nhân viên 21.270.000đ - Phải trả cho nhà cung cấp về số hàng mua đã nhận nhưng chưa nhận được hóa đơn vào ngày 30/06/200x: 40.000.000đ yêu cầu: Cho biết các thử nghiệm chi tiết mà bạn cần thực hiện nhằm xác định tính trung thực và hợp lý của các khoản trên.
Answer:
Never going to give you up.
Step-by-step explanation:
We're no strangers to love
You know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Be sure to show your work and solve for h:
6 + h + 8 = 24
Answer:
10
Step-by-step explanation:
6 + h + 8 = 24
h + 6 + 8 = 24
h + 14 = 24
h = 24 - 14
h = 10
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(-7,-2)
Step-by-step explanation:
y = 3x + 19
y = 5x + 33
Substitute in y. Basically set equal to each other.
3x + 19 = 5x + 33
-2x = 14
x = -7
y = 3 (-7) + 19
y = -21 + 19
y = -2
Answer:
y = -2
x = -7
Step-by-step explanation:
Substitute y= 5x + 33
5x + 33 = 3x + 19
Isolate x for 5x + 33 = 3x + 19: x = -7
For y = 5x + 33
Substitute x = -7
y = 5(-7) + 33
y = -2
So the solution is y= -2, x=-7
Select the correct answer. The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21. The second number is 24. B. The equation that represents this situation is 3x = 21. The second number is 7. C. The equation that represents this situation is -3x = 21. The second number is -7. D. The equation that represents this situation is -3 + x = 21. The second number is 18.
Answer:
C
Step-by-step explanation:
Since it's the product, the two numbers must be multiplied together. -3 * x will equal 21, so -3x=21. By dividing both sides by -3, we see that x=-7
The tens digit is missing from the three-digit number 8 _ 9. If the tens digit is to be randomly selected from the ten different digits from 0 to 9, what is the probability that the resulting three digit number will be a multiple of 9?
Step-by-step explanation:
Only 1 number works. 1 will make 819 which is divisible by 9.
Since it is 1 of ten numbers can go in the blank, the answer is 1/10 which is 0.1
The 10 number choices are
0,1,2,3,4,5,6,7,8,9
The only one that works is 1 as I've stated.
identify the type of function graphed to the right.
linear
exponential
other
Answer:
linear i think
Step-by-step explanation:
exponential
Step-by-step explanation:
help me pllllllssssssssssssss
d, because the plastic has a difference of 2000 with respect to food
It has been reported that the average credit card debt for college seniors is $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. At α = 0.05, is the student senate correct? a) State the hypotheses and identify the claim with the correct hypothesis
Answer:
Following are the solution to the given point:
Step-by-step explanation:
The formulated null hypothesis would be that the reported average do not differ significantly
[tex]H_o : \mu = \$3262\\\\H_a : \mu < \$3262 \ \text{(One tailed test)}[/tex]
If P(A) = 2/3, P(B) = 4/5 and P(AnB) = 3/5, what is P(AuB)?
Answer:
13/15
Step-by-step explanation:
P(A∪B) = P(A) + P(B) – P(A∩B)
= 2/3 + 4/5 - 3/5
Getting a common denominator
2/3 *5/5 + 4/5*3/3 - 3/5 *3/3
10/15 + 12/15 - 9/15
13/15
Answer:
[tex] \frac{13}{15} [/tex]
Step-by-step explanation:
We know that,
P(AUB) = P(A) + P(B) - P(A n B)
So,
[tex]P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} [/tex]
hope this helps you.
Have a nice day!
BRAINLIEST FOR CORRECT ANSWER
Answer:
y=-2x+6
Step-by-step explanation:
For this question, you need the slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. We should first find the slope of the equation. The slope is the rise-over-run; this means that the slope is equal to the difference in y over x. One way to find the slope is to count the difference between the two coordinates or you can use the formula. Either way, the y decreases by 2, and the x increases by 1. Therefore, the slope is -2.
Then, find the intercept. One way to do this by plugging in one of the coordinates into the equation we have so far, y=-2x+b. So, plug 4 in for y and 1 in for x; 4=-2(1)+b. Next, solve for b. This equals b=6.
Finally, plug in the slope and intercept for the final answer, y=-2+6.
A tower is 543m from your house. The angle of elevation to the top of the tower is 33.4°. How high is the tower?
Answer:
358
Step-by-step explanation:
the step by step is in the photo so look at it
7x+14
2x2 + x-6
What is the GCF
i will solve it first i need full form
Answer:
When i tried solving it, there was no GCF except for 1.
However, the GCF of the numerator is 7
Can someone help me with this math homework please!
Answer:
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
plz help ASAP with explanation
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
==========================================================
Explanation:
The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.
For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm
Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.
Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872
Therefore, the full tank's capacity is 1.872 liters
This converts to 1.872*1000 = 1872 cm^3
--------------------------------------------
The largest rectangular block has volume 1872 cm^3
We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so
V = L*W*H
L*W*H = V
12*8*H = 1872
96H = 1872
H = 1872/96
H = 19.5
The height of the tank is 19.5 cm
If < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Select one:
a. 10
b. 4
c. 9
d. 21
Answer:
a
Step-by-step explanation:
complementary angles sum to 90° , so
3x + 4 + 6x - 4 = 90
9x = 90 ( divide both sides by 9 )
x = 10
Which of the following is not a function?
1. {(0,0), (1,4), (2,8) }
2. {(0,0), (3,16), (16,49) }
3. {(1,1), (2,2), (3,3), (4,4)}
4. {(7,1),(6,2), (5,3), (5,4)}
5. all of the choices are function
The length, breadth and height of an object are 20cm, 15cm and 25cm respectively. Its mass is 7kg. Find its volume and density. vers F. 1.1.3.4m ii. 65000g iii. 24.325 hrs iv. 7500m 00cm', 0.933g/cc st Work a brick and measure its length, breadth and height. alate its volume by using formula. Find its mass by using a balance. Calculate its density. Does it float or sink in the r? Why? Explain. ence & Environment Books
Answer:
the above answer help you.
Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property
Answer:
Step-by-step explanation:
is option a correct
The correct property of addition is shown in the equation is,
⇒ Identity property.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The equation is,
⇒ a + bi + 0 + 0i
Now, We know that;
Condition of identity property is,
⇒ a + 0 = a
Thus, The correct property of addition is shown in the equation is,
⇒ Identity property.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ5
(-4)+12+(-20) simplify
(-4)+12+(-20)
= 12 + (-24)
= -12
Answer:
-12
Step-by-step explanation:
The solution is in the picture ^_^ I hope it helps
BRAINLIEST FOR EXPLANATION AND STEP BY STEP. (One question)
1) In a right triangle, the side adjacent to the 25 degree angle is 15cm long. What is the length of the side opposite the 25 degree angle to the nearest centimeter?
MY QUESTIONS:
what is the question asking for? And where is the 25 degree in a right triangle??
PLS HELP! :))
Answer:
Step-by-step explanation:
Draw a right triangle with the following conditions.
Make one of the acute angles come out to your right.
The adjacent side should be one of the sides that makes up the acute angle you just drew.
The adjacent side is also horizontal.
The other side is vertical at the left end point of the 15 cm side
The right angle is made by the two sides you have already.
Join the vertical end point to the horizontal endpoint not part of the right triangle.
Label the left side of the horizontal line as 25 degrees.
You are looking for the vertical line length.
The vertical line divided by the horizontal line length = tan(25)
vertical / 15 = tan(25) Multiply both sides by 15
vertical = 15 * tan(25)
vertical = 15 * 0.4663
vertical = 6.995
Answer:
7 cm approximately
Step-by-step explanation:
A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.
We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.
We are asked to find the opposite side to the 25 degree angle.
Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.
I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.
So we need to solve tan(25)=x/15.
We can do this by multiplying both sides by 15 giving us 15tan(25)=x.
Now we punch it into our calculator giving us 6.995 cm approximately.