Answer:
10.75 is the answer I think
A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the 2 tanks? The amount of water that holds the two tanks will be the same in _ weeks.
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.
h = 15√3/4
= 6.4875
≈ 6.5 cm
Step-by-step explanation:h = 3x
c₁ = 5 cm
c₂ = x
Pythagorash² = c₁² + c₂²
(3x)² = 5² + x²
9x² = 25 + x²
8x² = 25
x² = 25/8
x = √25/8
x = 5/2√2
x = 5√2/4
h = 3x
= 3×5√2/4
= 15√2/4 cm
A square has a perimeter of 28 ft. What is the length of each side?
Answer:
7 Centimeters (CM)
Step-by-step explanation:
You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.
You are increasing all sides by a scale factor of 3.
This gives each side a length of 21cm
Hope this helped!
Answer:
7ft
Step-by-step explanation:
A square has 4 congruent sides so that means all sides are the same.
28 ÷ 4 = 7
what is the square of 3844
Answer:62
Step-by-step explanation:
62^2
someone help me find the answer
The coordinates of M ⇒ (-6,0)
N ⇒ (-3,2)
Distance formula ⇒[tex]\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Plugging in those values gives us an answer of [tex]\sqrt{13}[/tex]
Let me know if you want to see more work!!!
:)
Problem 5 (from Unit 2, Lesson 5)
Select all the ratios that are equivalent to each other.
4:7
8:15
16:28
2:3
20:35
Answer:
20:25 probably don't quote me
simplify (3x^5)^2 please !!
Answer:
[tex]9x^{10}[/tex]
Step-by-step explanation:
[tex](x^a)^b=x^{ab}[/tex]
so
[tex](3x^5)^2=9x^{10}[/tex]
Y=x-9
Help if possible
answer to the problem is 9
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
Answer:
x=10/c
Step-by-step explanation:
3(cx-7)=9
(cx-7)=3
cx=10
x=10/c
The grocery store is having a sale on frozen vegetables. 4 bags are being sold for 11.96. At this rate, what is the cost of :
1 bag
9 bags
How many metres of cloth 4.4 m wide will be required to make a conical tent of radius of whose base is 3.5m and whose height is 8.4m .
[tex]\Huge{\boxed{\sf{\red{22.98m}}}}[/tex]
➢ Explαnαtion :Givєn :Radius of the tent,r = 3.5 mHeight of the tent, h = 8.4 mTo Find :length of the cloth required.Solution :According to the question,
Slant height, l = [tex]\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ = 9.192m}}[/tex]
curved surface area = [tex]\displaystyle{\sf{ \pi rl}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ 101.112}}[/tex]
i.e., Area of the cloth is 101.11m²
Now, length of the cloth required = [tex]\displaystyle{\sf{ \frac{area}{width}}}[/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{101.11}{4.4}}}[/tex]
[tex]\implies[/tex] [tex]\large{\boxed{\sf{\red{22.98m}}}}[/tex]
NEED HELP ! It’s due tonight
The graph starts at a value in between 1 and 2 while the expression starts at a value of 6, therefore, the expression has a higher initial value.
Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a year
Answer:
1: 11982.79
2: 12136.31
4: 12216.09
12: 12270.46
365: 12297.10
Step-by-step explanation:
The compound interest formula is A=P*(1+r/n)^nt
P=principal amount
r=rate
n=number of compounds per period
t=number of periods
In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.
For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.
For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.
And so forth. Good luck
Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is done making pies?
Answer:
0.72 pounds
Step-by-step explanation:
Each of the 7 people gets 1/7 of the pounds of pie, so ...
(5.04 pounds)/7 = 0.72 pounds
Each person gets 0.72 pounds of pie.
how much can an 55 affect my overall 100 grade?
Answer:
Depends on how many assignments you've completed.
Step-by-step explanation:
The accumulated overall grade is all about percentages, everything's a ratio when it comes to grades.
Answer:
it can bring it down alot
Step-by-step explanation:
it also can make your redo the grade
Chris has finished 30% of an art project that has taken him a total of 9 hours so far
Please help due tonight being graded very urgent need help please Makayla has 68 customers that she delivers a paper to every morning. She gets paid a flat fee of $8.50 per week plus an additional $0.67 per customer per week. How many weeks does she need to deliver papers to save at least $500 to buy a new tablet? make an equation or inequality and solve. Show your work
ok so 68 customers everything morning times 7 days per week is 476 customer.
now we know that 476 x .67 = $318.92
she make 8.50 per week plus $318.92 from customers
now we have this equation of
500 = 8.5x + 318.92
find x you will know how many weeks she needs.
8.5x = 500 - 318.92
8.5x = 181.08
x = 181.08/ 8.5
x ~~ 21.3 weeks
Answer:
1o weeks
Step-by-step explanation:
As I understand it she get's paid 8.50 per week
8.50x
and 0.67 per customer per week
0.67(68)x since there are 68 customers
it has to be at least 500
[tex]8.5x+0.67(68)x\geq 500\\\\8.5x+45.56x\geq 500\\\\56.06x\geq500\\\\x\geq\frac{500}{56.06} \\\\x\geq 9.24...\\\\x=10[/tex]
[4+(-3)]b-b(-6+2)
Help me plz
its due by midnight
Step-by-step explanation:
[ 4 - 3 ] b -b (-4)
1 b + 4b
5b Ans according to me
6+7m<6m or 3m-7<5+6m
Step-by-step explanation:
6+7m<6m or 3m-7<5+6m
6<7m+6m or 3m-6m<5+7
6<13m or -3m<13
m<13/6 or m<13/-3
m<2.16 or m<-4.333
m<2.2 or m<-4.34
The midpoint of AB is M(-2,2). If the coordinates of A are (-8, -1), what are
the coordinates of B?
Answer:
work is attached and shown
The coordinates of the midpoint will be (4,5).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-2,2) and the coordinates of A are (-8, -1).
The midpoint will be calculated by using the formula below:-
( -8 + x ) / 2 = -2
( -8 + x ) = -4
x = -4 + 8 = 4
( -1 + y ) / 2 = 2
( -1 + y ) = 4 = 1 + 4 = 5
Therefore, the coordinates of the midpoint will be (4,5).
To know more about Coordinate geometry follow
brainly.com/question/18269861
#SPJ2
Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex] \sqrt{85} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-1,-7) and (8,-9)
The distance between them is
[tex]d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4} [/tex]
We have the final answer as
[tex] \sqrt{85} \: \: \: units[/tex]
Hope this helps you
Help me solve the following?
Answer:
[See Below]
Step-by-step explanation:
✦ Solve for [tex]10y+30=100[/tex].
✦ Subtract [tex]30[/tex] on each side:
[tex]30-30=Cancels~Out[/tex][tex]100-30=70[/tex]✦ Divide [tex]10[/tex] on each side:
[tex]10/10=Cancels~Out[/tex][tex]70/10=7[/tex]So the answer would be [tex]7[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°.)
(5x+60)
can someone help me with this question? I keep on getting it wrong.
Answer:
102
Step-by-step explanation:
Let x be the amount of money John spends.
x/2-5=46
x/2=51
x=102
The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?
Answer:
50
Step-by-step explanation:
4,500÷90=50
and to check
90×50=4500
If 2x-3y+5-(x-3y)=11-2x, what is the value of x?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]2x-3y+5-\left(x-3y\right)=11-2x[/tex]
Remove brackets and flip the sign in the brackets:
[tex]2x-3y+5-x+3y=11-2x[/tex]
Group the similar terms together:
[tex]-3y+3y+2x-x+5=11-2x[/tex]
Add/subtract the terms:
[tex]x+5=11-2x[/tex]
Subtract 5 from both sides:
[tex]x+5-5=11-2x-5[/tex]
[tex]x=-2x+6[/tex]
Add 2x to both sides:
[tex]x+2x=-2x+6+2x[/tex]
[tex]3x=6[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3}=\frac{6}{3}[/tex]
[tex]x=2[/tex]
What is the value of x?
2/7(x+4)= -6
O x=35
O x= -25
O x= 25
O x=35
Hey there!
2/7(x + 4) = -6
2/7(x) + 2/7(4) = -6
2/7x + 8/7 = -6
SUBTRACT 8/7 to BOTH SIDES
2/7x + 8/7 - 8/7 = -6 - 8/7
CANCEL out: 8/7 - 8/7 because it gives you 0
KEEP: -6 - 8/7 because it helps solve for the x-value
NEW EQUATION: 2/7x = -6 - 8/7
SIMPLIFY IT!
2/7x = -50/7
MULTIPLY 7/2 to BOTH SIDES
7/2 * 2/7x = 7/2 * (-50/7)
CANCEL out: 7/2 * 2/7 because it gives you 1
KEEP: 7/2 * (-50/7) because it helps solve for the x-value
NEW EQUATION: x = 7/2 * (-50/7)
SIMPLIFY IT!
x = -25
Therefore, your answer is: x = -25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A car of mass 100 kg is moving with a velocity of 10 m/s on a road when it collides with a bus weighing 150 kg which is at rest. If both the vehicles start drifting together after the collision, find the velocity with which they are moving now?
Answer: they would be moving 15m/s
Step-by-step explanation:
10m/s times 150kg= 1500divided by 100kg=15m/s
Tommy has 15 marbles in his pocket. He has 3 green, 4 white, 6 black, and 2 blue marbles. If he randomly puts his hand in his pocket and
grabs a marble, what is the probability that he will pick a black marble?
Answer:
0.4
Step-by-step explanation:
The formula to calculate number of black marbles isnumber of favourable items by number of favourable items i.e for black marbles it will become
P(B)=number of black marbles divide by total number of marbles
P(B)=6/15
P(B)=0.4 OR 40%
Therefore the probability that Tommy will pick black marble is 0.4 or 40%
Change the following rate into a unit rate: $12/6 burgers.
Answer:
$2/1 burger
Step-by-step explanation:
You have to divide the number that can divide into both the most which means twelve divided by 6 is two and 6 divided by 6 is 1 which means $2/1