Answer:
51 litres.
Step-by-step explanation:
68 / 4 = 17
3/4 of a tank needed to be full.
3 x 17 = 51
Six cousins inherited a total of StartFraction 5 Over 8 EndFraction of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
StartFraction 5 Over 48 EndFraction of the assets
StartFraction 1 Over 8 EndFraction of the assets
StartFraction 7 Over 48 EndFraction of the assets
StartFraction 3 Over 8 EndFraction of the assets
Answer:
A
Step-by-step explanation:
Answer:
5 Over 48
This works for edge 2020
According to a legend, the Chinese Emperor Yu-Huang saw a magic square on the back of a turtle. In a magic square, the numbers in each row and in each column have the same sum. This sum is called the magic sum.Complete the magic square so that each row and each column has a magic sum of 0. Each integer from −4 to 4 appears exactly once.
Answer:
The ones in red are my answers and the one in black is given
Step-by-step explanation:
I hope it helps
The completed magic square is given below.
Given that, in a magic square, the numbers in each row and in each column have the same sum. This sum is called the magic sum.
We need to complete the magic square so that each row and each column has a magic sum of 0. Each integer from −4 to 4 appears exactly once.
What is the magic square?A square is divided into smaller squares each containing a number, such that the figures in each vertical, horizontal, and diagonal row add up to the same value.
The completed magic square is given below.
The sum in the first row=-1+4+(-3)=0
The sum in the second row=-2+0+2=0
The sum in the third row=3+(-4)+1=0
Hence, the completed magic square is given below.
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Solve for b and simplify your answer. 10=2/3 b
Answer:
b=15
Step-by-step explanation:
2/3b=10
3×2/3b=10×3
2b=30
÷2. ÷2
b=15
Y=x^2-6x+3 help write the vertex form of the equation
Answer:
[tex]y=(x-3)^2-6[/tex]
Step-by-step explanation:
[tex]y=x^2-6x+3[/tex]
This is written in the standard form of a quadratic function:
[tex]y=ax^2+bx+c[/tex]
where:
ax² → quadratic termbx → linear termc → constantYou need to convert this to vertex form:
[tex]y=a(x-h)^2+k[/tex]
where:
(h,k) → vertexTo find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
[tex]x=-\frac{b}{2a}[/tex]
Using your original equation, identify the a, b, and c terms:
[tex]a=1\\\\b=-6\\\\c=3[/tex]
Insert the known values into the equation:
[tex]x=-\frac{(-6)}{2(1)}[/tex]
Simplify. Two negatives make a positive:
[tex]x=\frac{6}{2} =3[/tex]
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
[tex]y=3^2-6(3)+3[/tex]
Simplify using PEMDAS:
[tex]y=9-18+3\\\\y=-9+3\\\\y=-6[/tex]
The value of y is -6 (3,-6). Insert these values into the vertex form:
[tex](3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)[/tex]
Insert the value of a and simplify:
[tex]y=(x-3)^2-6[/tex]
:Done
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume. How many millilitres of water should she add to make 637 mL of lemonade?
Answer:
546 mL of water
Step-by-step explanation:
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.
Let the amount of water is 6x and that of lemon juice is x.
ATQ,
6x+x = 637
7x = 637
x = 91
Amount of lemon juice = 91 mL
Amount of water = 6x = 6(91) = 546 mL
So, 546 mL of water she should add to make 637 mL of lemonade.
i need help on my finals
Answer:
Slope of line A is 1/3
Equation of Line B is y = 2x + 4
Simplify each of the following expressions.
*Remember: The minus sign between the brackets means the sign inside the brackets changes to the
opposite of what is was, + to — or — to +
a) (5x + 4) – (x – 2) b) (6 – 3x) + (x – 5x)
c) (4x + 5) – (3x – 2) – 6 d) 9x + 5 – 7x
Answer:
a) [tex]-5x^{2}[/tex] + 6x + 8
b) 6 - 7x
c) [tex]-12x^{2}[/tex] - 7x +4
d) 2x + 5
Step-by-step explanation:
a) (5x + 4) – (x – 2)
(5x + 4) (-x + 2)
[tex]-5x^{2}[/tex] + 10x - 4x + 8
[tex]-5x^{2}[/tex] + 6x + 8
b) (6 – 3x) + (x – 5x)
6 – 3x + x – 5x
6 - 7x
c) (4x + 5) – (3x – 2) – 6
(4x + 5) (–3x + 2) – 6
[tex]-12x^{2}[/tex] + 8x -15x + 10 -6
[tex]-12x^{2}[/tex] - 7x +4
d) 9x + 5 – 7x
2x + 5
hope this helps!
ASAP FOR BRAINLIEST!
Answer:
Slope is -1/4
Step-by-step explanation:
Goes down 1 and over 4 so -1/4
Can SOMEONE HELP ME PLZ!!!!
Answer:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.
Step-by-step explanation:
Transformations
The figure RSTU has been transformed in such a way that it mapped onto the figure R'S'T'U'.
There has been a translation and a reflection. Since the figure and its reflection are above the x-axis, one can guess the reflection is over the y-axis.
Let's reflect point T'(-3,4) over the y-axis. It maps to (3,4). The horizontal distance from this point to the original point T(5,6) is 2 and the vertical distance is 2. Thus, under this assumption, the transformations could be: translate 2 units down, 2 units left, and reflect across the y-axis.
Testing the rest of the points we get the same result, thus the transformations are:
Figure R'S'T'U' is the image of the figure RSTU after a translation 2 units left and 2 units down, and a reflection across the y-axis.
What is the value of the 8th term of the sequence 4, 8, 16, 32, ...?
Answer:
512
Step-by-step explanation:
The sequence is doing the number times 2, so 4 times 2 equals 8,
8 x 2 = 16, ect
If you do this enough, you will get 512 as the 8th term.
Answer:
512 because
32x2=64
64x2=128
128x2=256
256x2= 512
Step-by-step explanation:
please give me brainlist
What is the value of the 8th term of the sequence 4, 8, 16, 32, ...? this is where I get 32 from
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Describe how you would decide which variable term to add or subtract on both sides of the equation -3x + 7 = 4x - 9.
(Sorry if this is easy, I'm bad at math.)
(Written response, please help me!!)
Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.
Step-by-step explanation:7=7x-9
Answer:
Personally I always do the smallest variable in order to make it easier
Step-by-step explanation:
in this case i would add 3x to both sides because it's (-3x) smallest out of the two. so then the equation would be 7 = 7x - 9
from there you would add 9 to both sides and get 16 = 7x
then x = 2.29 (it's rounded up from 2.285...)
Would $3.99$ million flies or $47,000,000$ ants have a greater mass? Approximately how much greater, in grams, would the greater mass be?
Answer:
Ants and by roughly 118,615,000mg greater.
Step-by-step explanation:
According to a quick online search, a regular house fly weighs on average 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.
Flies: 3,990,000 * 11.5mg = 45,885,000mg
Ants: 47,000,000 * 3.5mg = 164,500,000mg
Therefore, based on this calculation we can clearly see that the 47 million ants will have a greater mass and this mass would be approximately
164,500,000 - 45,885,000= 118,615,000mg greater
The ants and by roughly 118,615,000mg greater.
We have given that,$3.99$ million flies or $47,000,000$ ants have a greater mass
What is the approximate total weight?A regular house fly weighs on average weighs on 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.
Therfore we can write it as,
Flies: 3,990,000 × 11.5mg = 45,885,000mg
Therefore we get the files mass 45885000mg
For Ants,
47,000,000 * 3.5mg = 164,500,000mg
Therefore, based on this calculation we clear that the 47 million ants will have a greater mass and this mass would be approximately
164,500,000 - 45,885,000= 118,615,000mg greater
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Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$1,200, 3.5%, 2 years
Answer:
84
Step-by-step explanation:
1200*3.5*2/100
=84
Answer:
$84
Step-by-step explanation:
You can also do 1,200x 0.035 x2 which equals $84.
Rachel decided to have bouncy balls as a party favor.
She determines that her ratio of bouncy balls to guests is
9:3. Explain how to find the number of balls needed for 30
guests.
I
PLEASE HELP FAST!
Answer:
Rachel is a idiot
Step-by-step explanation:
5) February is a busy time at Charlie's Chocolate Shoppe! During the week before Valentine's Day, Charlie advertises that his chocolates will be selling for $1.80 a piece (instead of the usual $2.00 each). The fixed costs to run the Chocolate Shoppe total $450 for the week, and he estimates that each chocolate costs about $0.60 to produce. Charlie estimates that he can produce up to 3,000 chocolates in one week. a) Write a function, C(n), to represent Charlie's total costs for the week if he makes n chocolates b) Write a function. R(n), to represent the revenue from the sale of n chocolates during the week before Valentine's Day. c) Write a function. P(n), that represents Charlie's profit from selling n chocolates during the week before Valentine's Day. Show complete work to find the function.
Answer:
a) [tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]
b) [tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]
c) [tex]P(n) = - 450 +1.20n[/tex]
Step-by-step explanation:
Sale price of chocolates = $1.80 per chocolate
Fixed cost for the Chocolate Shoppe per week = $450
Cost to produce one chocolate = $0.60
Cost to produce [tex]n[/tex] chocolates = $0.60[tex]\times n[/tex]
a) Cost function to represent the total cost for the production of [tex]n[/tex] chocolates :
[tex]C(n) = 450+0.60n[/tex] where [tex]n<=3000[/tex]
b) Revenue function to represent the revenue from the sale of [tex]n[/tex] chocolates:
[tex]R(n) = 1.80n[/tex] where [tex]n<=3000[/tex]
c) Profit function to represent Charlie's profit from selling [tex]n[/tex] chocolates:
Profit is nothing but revenue minus sales.
[tex]P(n) = R(n) - C(n) \\P(n) = 1.80n - 450 -0.60n\\P(n) = - 450 +1.20n[/tex]
Answer:
ong
Step-by-step explanation:
What is the soloution to the equation
30.16= 17.56 + -5x
A- 6.032
B- 3.512
C- 12.6
D- 2.52
Answer: D
Step-by-step explanation:
If you would like me to explain just ask.
30.16 = 17.56 + (-5x) You need to get the -5x by itself so subtract 17.56 from 17.56 and subtract it from 30.16.
12.60 = -5x You need to get the x by itself now so divide -5 by -5 and 12.60 by -5.
then you get...
-2.52 = x
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players.Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents
Answer:
1. 2 ≤ n ≤ 4
2. 4 * 20
3. T < 80
4. (2 * 4) + (4 * 3)
5. 16 ≤ P ≤ 32
Note: The quantities described are as follows:
1) the allowable number of players on a team
2) the number of points, , Han's team earns in one round if every player earns a perfect score
3) the number of points, , Han's team earns in one round if no players earn a perfect score
4) the number of players, , in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each
5) the possible number of players in a game with eight teams
Step-by-step explanation:
1. Let the number of players be n
Since each team can have between 2 and 4 players
n ≥ 2 or 2 ≤ n, and n ≤ 2
Therefore, the allowable number of players on a team is given by 2 ≤ n ≤ 4
2) There are four players in Han's team and a perfect score is 20
Therefore, the number of points Han's team earns in one round if every player earns a perfect score is given by 4 * 20
3) There are four players in Han's team
Total score if each player in Han's team earns a perfect score is 4 * 20 = 80
Let the total score of Han's team be T
Therefore, the number of points, Han's team earns in one round if no players earn a perfect score is given by T < 80
4) If two team have 4 players, it is given by 2 * 4
If the rest four teams have 3 players each, it is given by 4 * 3
Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each is given by (2 * 4) + (4 * 3)
5) Let the possible number of players in a game with be P
Maximum number of players in eight teams = 4 * 8 = 32
Minimum number of players in eight teams = 2 * 8 = 16
P ≤ 32 and P ≥ 16 or 16 ≤P
Therefore, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32
If 5 men paint a wall in 3hours,
How many men will paint the same wall in 3/4 hours,
working at the same rate
a)5
b)10
c)15
d)20
e)24
Answer:20 men
Step-by-step explanation:
⚠️WILL GIVE BRAINLIEST⚠️
Answer:
The answer is D
Step-by-step explanation:
I solved this with graphing and got d trust me
pls mark brainliest
Huilan is 15 years younger than Thomas. The sum of their ages is 65. What is Thomas's age?
Answer:
40 years
Step-by-step explanation:
Hulian and Thomas together is 65 years
let us suppose hulian is X
now, so Thomas is x+15
so x+x+15=65
so 2x = 65-15
2x=50
x=25
Hulian is 25
and Thomas is 25+15=40
Answer:
Thomas's age: 40
Step-by-step explanation:
We have:
Thomas's age - Huilan's age = 15 (1)
Thomas's age + Huilan's age = 65 (2)
Add 1 and 2 we have :
2T = 65+15
<=>2T = 80
[tex]<=>T=\frac{80}{2} =40[/tex]
So Thomas's age is 40.
P/s: T is Thomas's age
Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?
Answer:
Mallory can buy 16 notebooks
Step-by-step explanation:
You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks
Answer:
she can buy 9 pencils
Step-by-step explanation:
Shaniya owns a company that rents cars called Car Go. The following bar graph summarizes the type of
vehicles rented last week.
Answer:
The probability of a van getting rented next is 25%.
Step-by-step explanation:
The graph is attachedProbability Formula:
number of favorable outcomes / the total number of outcomesGiven Information:
Number of cars sold : 8Number of vans sold : 5Number of trucks sold : 4Number of motorcycles sold : 3Calculations:
number of favorable outcomes = 5 (number of vans sold)total number of outcomes = 20 (8 + 5 + 4 + 3)number of favorable outcomes / the total number of outcomes5/20 = 1/4Probability of a van getting rented: 1/4 or 25%
identify the errors the student made
Answer:
Second step: 2/2 does not give you 2.
It would be 2x + 1 - 4 = 3x - 3
Since he mess up on the second step, the following steps are also messed up
Use the drop-down menus to complete the solution to the equation Cosine (StartFraction pi Over 2 EndFraction minus x) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction for all possible values of x on the interval [0, 2Pi].
Answer: The answer above is correct.
0
1
sin
3
3
Step-by-step explanation: Got it right on assignment from edge.
Using trigonometric identities, the solution to the equation[tex]cos(\frac{\pi }{2} -x) = \frac{\sqrt{3} }{2}[/tex] for all possible values of x on the interval [0, 2π].
What are trigonometric identities?Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
[tex]cos(\frac{\pi }{2} - x) = \frac{\sqrt{3} }{2} \\\\cos(x) cos(\frac{\pi }{2}) + sin(x) sin(\frac{\pi }{2}) = \frac{\sqrt{3} }{2} \\\\cos(x) (0)+sin(x)(1) = \frac{\sqrt{3} }{2} \\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3} , \frac{2\pi }{3}[/tex]
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write the ratio that is equivalent to z/x
Answer:
2z:2x
or
2z/2x
Step-by-step explanation:
you can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2.
then the answer will be:
2z:2x or 2z/2x
Have a great day!!
The value of ratio that is equivalent to z / x is,
⇒ s / q
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Two similar triangle are shown in figure.
Now, By definition of similarity,
Ratio of sides of corresponding sides are equal .
Hence, We get;
The value of ratio that is equivalent to z / x is,
⇒ z / x = s / q
Thus, The value of ratio that is equivalent to z / x is,
⇒ s / q
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Complete question is shown in image.
What does the x-intercept of the graph tell you about Jeremiah's bank account?
Answer:
The x-intercept of the graph tells you that as the "number of movie tickets" increase, the less balance Jeremiah has on his bank account.
Step-by-step explanation:
Behavior: The graph is in a downwards linear slope.
Look at the correlation between the x and y axis.
As x increases, y decreases
• To round a number, look at the digit to the right of the
Chapter
place value to which you are rounding.
1
• If the digit is 5 or more, round up.
• If the digit is less than 5, round down.
Round up
Add 1 to the
146 rounded to the nearest ten is 150.
number in the place
value to which you
This is the Since 6 is greater than 5, round the
are rounding.
tens place. 4 up to 5.
Make the digits to
the right of it o.
45.23 rounded to the nearest tenth is 45.20.
Round down
Do not change the
number in the place
This is the Since 3 is less than 5, the 2 stays the
value to which you
tenths place. same.
are rounding.
Make the digits to
2. Underline the tens digit. Round to the nearest ten.
the right of it o.
a) 36
b) 162
c) 105
3. Underline the hundreds digit. Round to the nearest hundred.
a) 732
b) 675
C) 1825
4. Underline the tenths digit. Round to the nearest tenth.
a) 0.37
b) 74.55
c) 15.23
5. Underline the hundredths digit. Round to the nearest hundredth.
a) 1.212
b) 3.427
c) 0.351
Answer:
2. A) 37 B)160 C) 110
The tens digit is 10,20,30,40,50,60,70,80,90. Two away to the left of a decimal point.
3. A)730 B) 675 C)1930
The hundreds digit is three from the left of a decimal point.
4. A) 0.40 B)74.60 C)15.20
The tenth is one away to the right of the decimal.
5. A)1.210 B) 3.430 C)0.350
The hundreth is two away to the right of the decimal point.
Explanation:
If it is above 5 you bring the digit before it up by one, if it is under 5 you bring the digit that is under 5 to zero.
Alewuya invests a total of $29,000 in two accounts paying 15% and 6% annual interest, respectively. How
much was invested in each account if, after one year, the total interest was $2,685.00. $__was invested at 15% and
$__ invested at 6%.
I need someone to check my work..
What is 78.5 rounded to the nearest hundredth
Answer:
There is no digit in the hundredths place, making this indeditable.
Answer:
it is already rounded to the nearest hundredth
Step-by-step explanation:
the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)