Answer:
Henry=12, Bernard=18
Step-by-step explanation:
let Henry's age = x
let Bernard's age= 1.5x
according to d passage 6yrs ago x×2=1.5x
mathematically that is (x-6)2=1.5x-6
2x-12=1.5x-6
2x-1.5x=-6+12
0.5x=6
divide both sides by the co-efficient of x which is 0.5 can also be written as ½
there fore x=6÷½
x=Henry's age=12years
1.5x=Bernard's age=12×1.5=18years
Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction
Question:
Which fraction is equivalent to [tex]\frac{2}{6}[/tex]?
- [tex]\frac{3}{7}[/tex] because [tex]\frac{2}{6}= \frac{2 + 1}{6 + 1}[/tex]
- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]
- [tex]\frac{3}{12}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]
- [tex]\frac{3}{8}[/tex] because [tex]\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}[/tex]
Answer:
- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]
Step-by-step explanation:
Two fractions are said to be equal if and only if they give the same value when simplified.
The equivalent of [tex]\frac{2}{6}[/tex] is as explained in the selected option;
First, divide numerator and denominator by 2
[tex]\frac{2/2}{6/2}[/tex]
Then simplify
2/2 = 1 and 6/2 = 3; So;
[tex]\frac{2/2}{6/2} = \frac{1}{3}[/tex]
Multiply numerator and denominator by 3
[tex]\frac{1*3}{3*3} = \frac{3}{9}[/tex]
Hence, [tex]\frac{2}{6}[/tex] is equivalent to [tex]\frac{3}{9}[/tex]
Answer:
B
Step-by-step explanation:
StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction
John goes to a restaurant and has a bill of $ 32. 57. He uses a 10% off coupon on the cost of his meal. The tax is 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. How much does he spend?
Answer: $36.97
Step-by-step explanation:
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because [tex]\frac{10}{100}=0.1[/tex]. Now do [tex]0.1 *32.57=$3.26[/tex]. This is the discount, so you want to subtract this from the original to get the actual price of the meal, [tex]32.57-3.26=29.31dollars[/tex].
The tax was 8% so this means he is adding it to his total cost instead of subtracting it. Do 0.08 of $29.31 to get $2.34. Add $2.34 to the now $29.31 to get $31.69.
The tip is also adding to the total cost, so do 0.18 of $29.31 to get $5.28. Add $5.28 to $31.69 to get $36.97
Answer:
$37.51
Step-by-step explanation:
Original cost of meal is $32.57.
Since he has a coupon for 10% off, he pays for 90% of the cost of the meal.
90% of $32.57 = 0.9 * $32.57 = $29.31
Now he pays tax on the new discounted total. Let the new total be called 100%. Since he pays 8% tax, he needs to pay 108% of the new total.
108% of $29.31 = 1.08 * $29.31 = $31.65
He adds a tip of 18% of $32.57.
The tip amount is
18% of $32.57 = 0.18 * $32.57 = $5.86
The total is: $31.65 + $5.86 = $37.51
Las personas que venden computadoras en una tienda local ganan $100 en comisión por computadora por las primeras 5 computadoras que venden cada mes. Por cada computadora adicional que venden durante ese mes, la comisión por computadora es 1.5 veces la tarifa por las primeras cinco. ¿Cuál de las siguientes es la comisión total que gana una persona que venda 8 computadoras en un mes?
A. $190
B. $800
C. $950
D. $1,050 E. $1,200
This is the graph of f(x). Wha is the value of f(2)
Answer: 2
Step-by-step explanation:
They are saying that x equals 2, and the question is what the function is defined at when x = 2
Going to x = 2, the y value is just 2
The answer is 4.
f(2)=4
Please answer correctly !!!!!!! Will mark brianliest !!!!!!!!!!
Answer:
22
Step-by-step explanation:
[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]
Hope this helps!
For which table would 70 be the missing value,x?
It is C
The Stone and Pounds
Answer:
c
Step-by-step explanation:
Can someone help me with this please
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole number?
Answer:
Step-by-step explanation:
Weren't there possible answer choices from which to choose? If so, please share them.
7 3 + 4
-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.
2 2
If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.
Answer:
7 3 + 4
-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.
2 2
Step-by-step explanation:
What are the odd numbers
Answer:
1,3,5,7,9....up to soon are odd numbers
Step-by-step explanation:
they are not divided by 2
Answer:
1,3,5,7,9
Step-by-step explanation:
what is -14x-7 idk I have tried everything
______________________________
Hey!!
Solution,
-14x-7
take the common
Answer: -7(2x+1)
Hope it helps
Good luck on your assignment
__'________________________
Answer:
i think its -2
Step-by-step explanation:
distribute and find the x
A jar contains 4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green marbles. If one marble is randomly selected, what is the probability that it is red or green?
Answer:
1/2
Step-by-step explanation:
4 red marbles, 6 blue marbles, 3 yellow marbles, and 5 green = 18 marbles
P( red or green) = red or green / total
= (4+5) / 18
= 9/18
=1/2
Answer:
50%
Step-by-step explanation:
4 red + 5 green = 9 marbles
total marbles = 18 marbles
9 is 50% of 18
3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees. What is mAnglePHJ? 100° 120° 140° 160°
Answer:
The answer is 120 degrees
Step-by-step explanation:
your welcome!!!!!!!!!!!!
Answer:
120
Step-by-step explanation:
edge 2022
also need help for this but dont need to much of a explanation
Answer:
Slope: 1/2
Step-by-step explanation:
Use rise over run.
Please mark BRAINLIEST! Thanks!
PLEASE HELP!
Solve by completing the square
x^2+8x = -20
Answer: x= -4+/- 2i
Step-by-step explanation: Used the formula (b/2)^2 to create a new term. I solved for x.
FYI
+/- means plus or minus sign I couldn't find the symbol on my key board. Hope this helps!
CAn someone please help
no. of squares=90
no. of toothpicks=(89*3)+4
=271
rule of patern = 4+3+3...
no. of toothpicks=1000
no. of squares= (996÷3)+1
= 333
i only need help with B
Answer:
it will take 3 sticks to make pattern n
_
| |
if b=6, what is 12b
Answer:
72
Step-by-step explanation:
12b
Let b = 6
12*6
72
Answer:
72
Step-by-step explanation:
You have to take 12 times 6 because b=6.
so 12b=12 times 6
12 times 6= 72
What is the product? Assume x greater-than-or-equal-to 0 (StartRoot 3 x EndRoot + StartRoot 5 EndRoot) (StartRoot 15 x EndRoot + 2 StartRoot 30 EndRoot)
Answer:
[tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Step-by-step explanation:
To find the product :
[tex](\sqrt{3x} +\sqrt5)(\sqrt{15x} +2\sqrt{30})[/tex]
[tex]\sqrt{3x}(\sqrt{15x} +2\sqrt{30}) +\sqrt5(\sqrt{15x} +2\sqrt{30})\\\Rightarrow \sqrt{3x}\times \sqrt{15x} +\sqrt{3x}\times 2\sqrt{30} +\sqrt5 \times \sqrt{15x} +\sqrt5\times 2\sqrt{30}\\\Rightarrow \sqrt{45} \times x + 2 \sqrt{90x} + \sqrt{75x} + 2 \sqrt{150}\\\Rightarrow \sqrt{5 \times 9} \times x + 2 \sqrt{9\times 10x} + \sqrt{25 \times 3x} + 2 \sqrt{25 \times 6}\\\Rightarrow 3\sqrt5 x+ 2 \times 3 \sqrt{10x} +5\sqrt{3x} +2 \times 5 \sqrt6\\\Rightarrow 3\sqrt5 x+ 6 \sqrt{10x} +5\sqrt{3x} +10 \sqrt6[/tex]
[tex]\Rightarrow 3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Some identities used:
1. [tex](a+b)(c+d) = a (c+d) + b(c+d)[/tex]
2. [tex]\sqrt9 =3[/tex]
3. [tex]\sqrt{25} =5[/tex]
4. [tex]\sqrt x \times \sqrt x=x[/tex]
5. [tex]\sqrt a \times \sqrt b = \sqrt{ab}[/tex]
So, the solution is [tex]3\sqrt5 x+ \sqrt x (6 \sqrt{10} +5\sqrt{3}) +10 \sqrt6[/tex]
Answer:it’s b
Step-by-step explanation:
On edge
What are the domain and range of f(x) = |x + 6|?
Answer:
The domain is (-∞,∞)
The range is [0,∞)
Step-by-step explanation:
The graph will be a V shape facing upwards with a vertex of (-6,0)
Answer:
Domain = (-∞,∞)
Range = [0,∞)
Step-by-step explanation:
Which is equivalent to 4V91/2
Answer:
B.
Step-by-step explanation:
= [tex]\sqrt[4]{9} ^{x/2}[/tex]
= Since [tex]\sqrt[4]{} = 1/4[/tex]
= So, [tex]9^{1/4*x/2}[/tex]
= [tex]9^{\frac{x}{8}[/tex]
Answer:
option B
Step-by-step explanation:
[tex](\sqrt[4]{9})^{\frac{1}{2}x} =(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}[/tex]
Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold
Answer:
2720 oranges were sold
1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
on average 6 km/h faster than Evan, calculate her average speed and the time taken
for the journey.
Answer:
Her average speed is 94 km/h
Time taken is 3.5 hours
Step-by-step explanation:
Let Evan’s average speed be x km/h.
now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h
Mathematically, time = distance/speed
so; since time is the same; we have
308/x = 329/(x + 6)
cross multiply
329(x) = 308(x + 6)
329x = 308x + 1848
329x-308x = 1848
21x = 1848
x = 1848/21
x = 88 km/h
Meghan average speed = x + 6 = 88 + 6 = 94 km/h
Time taken would be 329/94 = 3.5 hours
The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third number if one of its factors is 9.
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction
Answer:
d
Step-by-step explanation:
Answer:
I think it's D
Step-by-step explanation:
Sorry if im wrong.
George deposit is $750 into an account that earns 7% interest which is compounded two times per year how much money was George have in his account in five years
Answer:
$1475.40
Step-by-step explanation:
Since the interest is two times per year for 5 years, do this 10 times:
1) 750*0.07=52.5
750+52.5=802.5
2) 802.5*0.07=56.18
802.5+56.18=858.69
3) 858.69*0.07=60.11
858.69+60.11=918.79
4) 918.79*0.07=64.32
918.79+64.32=983.11
5) 983.11*0.07=68.82
983.11+68.82=1051.93
6) 1051.93*0.07=73.64
1051.93+73.64=1125.57
7) 1125.57*0.07=78.79
1125.57+78.79=1204.36
8) 1204.36*0.07=84.31
1204.36+84.31=1288.67
9) 1288.67*0.07=90.21
1288.67+90.21=1378.88
10) 1378.88*0.07=96.52
1378.88+96.52=1475.40
Find the slope of the line that passes through (3, 7) and (6, 8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Slope = 1/3
Step-by-step explanation:
Step 1: Define general form of equation of line
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
Step 2: Set up the system to solve for slope M of equation of line
That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).
Substitute these values of x and y into the original equation in step 1:
7 = 3M + b
8 = 6M + b
Step 3: Solve the system of equations in step 2 for M
Subtract 1st equation from 2nd equation:
8 - 7 = 6M - 3M + b - b
Simplify both sides:
1 = 3M
Divide both sides by 3:
=> M = 1/3
Hope this helps!
:)
Answer:
[tex]slope = \frac{1}{3} [/tex]
Step-by-step explanation:
[tex](3 \: \: \: ,\: \: \: 7) = > (x1 \: \: \: ,\: \: \: x2) \\ (6 \: \: \: ,\: \: \: 8) = > (y1 \: \: \: \: , \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{7 - 8}{3 - 6} \\ = \frac{ - 1}{ - 3} \\ = \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
3/10
Step-by-step explanation:
There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10
P( green) = number of green / total
= 3/10
Which is equivalent to 3 square root of 8 1/4 x
Answer:
3
√
33
x
2
Step-by-step explanation:
Simplify
(Something is wrong with my keyboard hopefully you can put this together I'm sorry)
3. Un cubo de madera se pinta y luego se divide en 27 cubitos iguales, de estos nuevos cubos ¿Cuántos tienen pintadas 3 caras? a. 1 cubito b. 12 cubitos c. 8 cubitos d. 10 cubitos
Answer:
c. 8 cubes
Step-by-step explanation:
In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.
The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces
