Answer:
4n+(2n-9)
4n+2n-9
6n-9 =the total age
6n=9
divide by 6 both sides.
n=9/6
n=1.5 years.
substitute the value of n in the age of the father and the daughter.
Age of father=4×1.5
6years.
Age of Daughter = (2×1.5)-9
3-9
=-6 years
Total age
6-6=0
can someone help please
Answer:
C
Step-by-step explanation:
A brick weighs w
kg. Write an expression for the weight of 2 bricks
Answer:
2w
Step-by-step explanation:
weight of 1 brick = w
so to find the weight of 2, times it by 2, which leaves you with 2w
Can someone help me with math please?
Answer:
Multiply 60 by 2.5 centimetres
60×2.5=150
Aramis showed the division of 6p2 + 9p + 3 by 3p. A + 3 + B What are the values of A and B? A = 2p and B = p A = 3p and B = p A = and B = A = 2p and B =
Answer:
D) A = 2p and B = 1/p
Step-by-step explanation:
To divide this,
we first see how many times 3p will go into 6p².
[tex]\frac{6p^2}{3p} = 2p[/tex]
It will go in 2p times; this goes up top of the problem.
Multiplying back through, we have
[tex]2p*3p = 6p^2[/tex]
Subtracting this from the first term under the box, we have
[tex]6p^2-6p^2= 0.[/tex]
This cancels. Bring down the next term, 9p.
See how many times 3p goes into 9p = [tex]\frac{9p}{3p}=3[/tex]
it goes in 3 times. This goes up top, beside the 2p. We separate them with a +, since the 3 is positive.
Multiplying back through, we have 3(3p) = 9p.
Subtract this from the line above; 9p-9p = 0.
Bring down the last term, 3.
Since this is not 0, this is the remainder.
This gives us
2p + 3 R 3;
writing this as a rational expression, we have
[tex]2p + 3 + \frac{3}{3p}[/tex]
The remainder term, [tex]\frac{3}{3p}[/tex], will simplify to 1/1p or 1/p;
this gives us
[tex]2p + 3 + \frac{1}{p}[/tex]
Therefore, the answer is A = 2p and B = 1/p
Answer:
D) A = 2p and B = 1/p
Step-by-step explanation:
If a figure has a length and width that are the measured in meters, what would be the units for the area of the figure
Answer:
metre squared (m²)
Step-by-step explanation:
metre×metre=metre squared (m²)
A train covers 240 Km in 3 hours. How much distance will it cover in 1 ¾ hours? *
Answer: 140 km
Step-by-step explanation:
240 km in 3 hours
1 3/4 hours = (1 3/4 / 3) x 240
= (7/4 / 3) x 240
= 7/12 x 240
= 7 x 20 = 140
please help me thankyou lol
Answer:
Yes, they are congruent
Step-by-step explanation:
They are congruent because they both have same length sides
Find the y-intercept of the following equation. Simplify your answer.
y = 6x + 4
y-intercept =
Answer:
The slope is 6 and the y intercept is 4
(0,4)
Step-by-step explanation:
y = 6x + 4
This is in the form y = mx+b
where m is the slope and b is the y intercept
The slope is 6 and the y intercept is 4
(0,4)
How many cubes with a side length of 1/2 unit would it take to fill a rectangular prism with a volume of 2 cubic units?
Answer:
16
Step-by-step explanation:
1/2*1/2*1/2 = 1/8 cubic units
2/(1/8) = 16
Answer:
16
Step-by-step explanation:
[tex](\frac{1}{2})^3 = \frac{1^3}{2^3} = \frac{1}{8}\\\frac{2}{\frac{1}{8}} = 2 \cdot 8 = 16[/tex]
Can I please have help
Answer:
A (1,0), B (3,0) Q (2,-1) P(0,3)
Step-by-step explanation:
A(1,0) B (3,0) these are the roots of the current graph so the factors or the x-intercepts.
Q is the minimum so it is halfway between the x-intercepts
halfway = 3+1/2 , x=2
plug x=2 into the equation
y=(2-1)(2-3)
y= -1
therefore Q = (2,-1)
P is the y-intercpet when x=0, so plug x=0 into the equation
y=(0-1)(0-3) = 3
therefore Q =
(0,3)
A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.
Answer:
There are 8 possible outfit choices
Step-by-step explanation:
you multiply 2 times 4 because there each shirt can pair to each pants once
Jon is playing a game with his friend Mike. Mike rolls two dice three times. Each time Mike rolls the dice, Jon squares both numbers and subtracts the smaller square from the larger square. After all three rolls, Jon adds the three numbers he obtained from the three rolls. If Mike rolls a 4 and a 3 on the first roll, a 6 and a 2 on the second roll, and a 3 and a 1 on the third roll, what is the sum that Jon obtains?
Answer:47
Step-by-step explanation:
On first roll Mike gets 4 and 3
So number he gets after subtraction of square is
[tex]\Rightarrow 4^2-3^2=7[/tex]
On second roll Mike gets 6 and 2
So number he gets after subtraction of square is
[tex]\Rightarrow 6^2-2^2=32[/tex]
On Third roll Mike gets 3 and 1
So number he gets after subtraction of square is
[tex]\Rightarrow 3^2-1^2=8[/tex]
Sum of numbers[tex]=7+32+8=47[/tex]
John obtains [tex]47[/tex] as sum
Galina was correct when she said: it is 10 times the number of outcomes/there are 2 possible outcomes. Elroy was correct when he said: the outcome of each flip is 1/2/multiply the 10 outcomes. A coin is tossed eight times and outcomes are recorded.
Answer:
I believe that the answer is
Galina was correct when she said: there are 2 possible outcomes.
Elroy was correct when he said: multiply the 10 outcomes
Step-by-step explanation:
I looked this up and found that when you flip a coin 10 times you get 2^10 = 1024 but including other possibilities there are only 1000 combinations. Meaning that there are 2 possible outcomes for every coin flip and in order to find those combinations you have to multiply 2 to itself for however many times you were to flip a coin.
For Example: Flip a coin 3 times there are 2 possibilities for every time you flip it. So the answer would be 2*2*2=8 combinations.
I hope this helps. :)
The answer is correct that
Galina was correct when she said: there are 2 possible outcomes.
Elroy was correct when he said: multiply the 10 outcomes by 1/2
What is Combination ?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
As the coin is flipped 10 times and there are to possible outcomes of coin head and tail.
So, [tex]2^{10}[/tex] = 1024
In order to find the combination we have to multiply the number 2 to the number itself or raise the power of 2 to the number of times we have flipped the coin.
Let us take a case,
If we have flipped a coin 5 times and there are only two possibilities.
The answer will be= [tex]2^{5} or 2*2*2*2*2*2[/tex] = 32 combination.
Learn more about Combination here:
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Find the term to term rules for the following sequences:
2, 6, 18, 54, 162
Step-by-step explanation:
U=ar^(n-1)
r=6/2=3
a=2
U=2(3)^n-1=6^n-1
Let f(x) = ............
Answer:
So first lets find g(-1)
so we plug in the answers:
-2 * -1 ^2 -4
-2*1-4 = -2-4 =
-6
Now lets solve for f(-2)
-2^2-3
4-3=1
-6+1 = 5
3*5 = 15
Im getting answer of 15 but it shows -15 or something, so I dont know if I got it wrong or if its like a dash then the answer.
Solve the system of equations:
y = 2x - 3
y= x2 – 2x-8
A. (-1, -3) and (5, 4)
B. (0, -3) and (3, 3)
C. (4,0) and (-2,0)
D.(-1,-5) and (5,7)
Answer:
D.(-1,-5) and (5,7)
Step-by-step explanation:
I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.
Option D should be the correct answer.
A music teacher bought 19 recorders. She
spent a total of $57. Each recorder was
the same price. The equation 19r = 57
can be used to find r, the price of each
recorder in dollars. What was the price
of each recorder?
Answer:
r = 57/19 = 3
Step-by-step explanation:
A student was given 32 problems he did 1/4 of them on monday and 1/2 of them on tuesday. find the unsolved problem.. PLEASE HELP
Answer:
8 problems
Step-by-step explanation:
32 - 32*1/4 - 32*1/2= 32 - 8 - 16= 8 problems
HELPPPPP PLZZZ
2) Tom can paint a fence in 12 hours. Huck can paint the same fence in 10 hours. How long would it take to put two coats of paint on the fence if Tom and Huck work together? Answer as an improper fraction, then round to 1 decimal place.
3) Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.
4) Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1st answer
Step-by-step explanation:
Another way to say 2 coats is
to paint the fence twice
Also, that is the same as painting
2 identical fences
---------------
Tom's rate is:
+1%2F8+ = ( 1 fence ) / ( 8 hrs )
Huck's rate is:
+1%2F5+ = ( 1 fence ) / ( 5 hrs )
---------------------------
Let +t+ = the time in hrs for them
to paint 2 fences
+2%2Ft+ = ( 2 fences ) / ( t hrs )
---------------------------
+1%2F8+%2B+1%2F5+=+2%2Ft+
Multiply both sides by +40t+
+5t+%2B+8t+=+80+
+13t+=+80+
+t+=+6.154+
It will take them 6.154 hrs
2) They together will take 10.9 hrs or 120/11
3) josh will take 21/11 hrs or 1.9 hrs
4) Together they will take 36/13 or 2.8 hrs
Solutions to the above problem2) Tom takes = 12 hrs
Huck takes= 10hrs
We can aaply unitary method
together they will take= 1/12+1/10=2/t
11t=120;
t=120/11 or 10.9 hrs
3) Together kim and josh can clean the house together in = 3 hrs
Kim takes = 7hrs
Josh will take= 1/7+1/x=2/3
3x+21=14x
21=11x
x=21/11 or 1.9 hrs
4) Jack makes baseball grounds in= 2 hrs
Mike takes= 3 hrs
Chris takes= 4 hrs
Together they will take= 1/2+1/3+1/4=3/x
13x=36
x=36/13 or 2.8 hrs
To learn more about Unitary method refer to:
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Un fabricante de ventanas cuadradas cobra a razón de 3 euros por cada metro de marco y 12 euros por el cristal, sean cuales sean las dimensiones.
a)cuanto costara una ventana de 2 metros de lado.
b) por una ventana hemos pagado 60 euros¿cuanto mide su lado?
c)encuentra la expresión que nos de el precio de la ventana en función de las dimensiones y realiza una representación gráfica de esta función.
Answer:
Givens
The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.If a window has 2 meters side, how much would it cost? (A)Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)
If we paid 60 euros, the dimensions are (B)
[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
I need help people please help me
Answer:
Each Cup has 3/8
Step-by-step explanation:
Divide
Find the measurement which is most accurate to 45.76 kg.
A. 45.77 kg
B. 45.78 kg
C. 45.79 kg
D. 45.81 kg
Answer:
A. 45.77 kg
Step-by-step explanation:
The measurement with the smallest difference from 45.76 is 45.77 kg.
(2x+3)²=125 find x
with full solution please
Answer:
x = ± ( 5√5 - 3 ) / 2
Step-by-step explanation:
We are given the equation ( 2x + 3 )² = 125;
[tex]( 2x + 3 )^{ 2 } = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2[/tex]
Solution ; x = ± ( 5√5 - 3 ) / 2
The total area of the figure to the right is
187cm. Use this fact to write an
equation involving x. Then solve the
equation to find the value of x. Justify
your answer
Answer:
x = 4 cm
Step-by-step explanation:
The area of an rectangle is the product of its length and its breadth.
From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:
Area of the rectangle = length × breadth = (13+x)(7+x)
But the area = 187 cm,
⇒ 187 = (13+x)(7+x)
187 = x² + 20x + 91
Subtracting 187 from both sides
x² + 20x + 91 - 187 = 187 -187
x² + 20x - 96 = 0
x² + 24x - 4x - 96 = 0
x(x + 24) - 4(x + 24) = 0
(x - 4)(x + 24) = 0
x - 4 = 0 or x + 24 = 0
x = 4 or x = -24
Since x cannot be negative therefore, x = 4 cm
Length = 13 + 4 = 17 cm
Breadth = 7 + 4 = 11 cm
Use the fishbowl to answer the following question.
a. How many fish are there in the bowl? fish.
b. Which color fish has the highest probability of being fished?
c. What is the probability of choosing this color?
Fraction
Decimal (provide the first 5 decimal numbers & yes round the number)
Percent % (round to the nearest tenth)
Answer:
a) 14
b) green
c) fraction 6/14
percentage: 42.8% rounded: 40%
not sure about the decimal tho
Answer:
a) 14
b) green
c) 6/14
d)percent 42.8 %
round up 40 %
A bus travels the 240 miles from Boston to New York. It departs at 11:00 a.m. and arrives in New York at 3:00 p.m. What is the average speed of this bus?
Answer: 60miles/hours
Step-by-step explanation:
From the question, a bus travels the 240 miles from Boston to New York and the bus departs at 11:00 a.m. and arrives in New York at 3:00 p.m. The time taken by the bus is (3:00pm - 11:00am) = 4 hours.
Average speed = Distance/Time
Average speed =240miles/4 hours
Average speed= 60miles/hours
The the average speed of this bus is 60miles/hour.
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.
Answer: [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]
Note: 12² + opposite² = 20² → opposite = 16
[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: adjacent² + 5² = 6² → adjacent = √11
[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]
Note: adjacent² + 7² = (13√2)² → adjacent = 17
which of the following descriptions represent the transformation shown in the image? Part 1b
Answer: b) 2 units left, 4 units up, reflect across y-axis
Step-by-step explanation:
The easiest way to do this is to graph the black triangle using the the given options to see which one lands on the red triangle.
The second option is the one that works.
Plz try your best do not quess
Answer:
4,000,000,000,000
Step-by-step explanation:
Make it look like this first:
[tex]\frac{6*10^8}{1.5*10^-4}[/tex]
You get:
[tex]4*10^{12}[/tex]
Which is 4,000,000,000,000
Joseph is eating his favorite kind of cookie.The cookie is part of 9/10 cm thick. The frosting is 33/100 cm thick.What expression can be used to find the total thickness of the cookie and the frosting
Answer:
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm
Step-by-step explanation:
The cookie is formed by two layers, the cookie and the frosting. So if we want to know the total thickness of the cookie and frosting we need to sum the thickness of each layer as shown below:
[tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}\\\text{total thickness} = \frac{9}{10} + \frac{33}{100}\\\\\text{total thickness} = \frac{10*9 + 33}{100}\\\\\text{total thickness} = \frac{123}{100} \text{ cm}[/tex]
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm