Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of rafts seating 3 people and [tex]y[/tex] the number of rafts seating 5 people. The total number of rafts is 13, so [tex]x+y=13[/tex]. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so [tex]3x+5y=53[/tex].
It's always a good idea to put these equations under each other:
[tex]\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.[/tex]
We can subtract the first equation three times from the second one to obtain [tex](3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7[/tex]
Now, substitute this found value for [tex]y[/tex] into [tex]x+y = 13[/tex] and we see that [tex]x=6[/tex]. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
How do you figure this out?
Let the red cat be represented by x.
Let the yellow cat be represented by y.
Let the white cat be represented by z.
Which means :
[tex] \tt (1) \: \frac{4}{5} (20x - 5)[/tex]
[tex]\tt = \frac{4}{5} \times 20x - \frac {4 }{5} \times 5[/tex]
[tex] \tt= \frac{80x}{5} - \frac{20}{5} [/tex]
[tex]\tt = 16x - 14[/tex]
Thus, the first statement is correct.
[tex]\tt(2) \: \frac{3}{5} ( \frac{1}{3} z - 10)[/tex]
[tex]\tt = \frac{3}{5} \times \frac{1}{3} z - \frac{3}{5} \times 10[/tex]
[tex]\tt = \frac{3}{15} z- \frac{30}{5} [/tex]
[tex]\tt = \frac{1}{5} z - 6[/tex]
Thus, the second statement is a lie.
[tex]\tt(3) \: \frac{1}{9} ( - 9y - 27x)[/tex]
[tex] \tt= \frac{1}{9} \times - 9y - \frac{1}{9} \times 27x[/tex]
[tex]\tt = \frac{ - 9}{ \: \: 9} y - \frac{27}{9} x[/tex]
[tex]\tt = (- y) - 3x[/tex]
Thus, the third statement is correct.
Therefore, the second one is a lie.
Answer:
Let the money with Miguel be x.
Then :
Money with Kira = x - 9
Money with Charlie = 4x
Total money in their wallet = $105
This can be written in an equation as :
= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105
= \tt2x + 4x - 9 = 105=2x+4x−9=105
= \tt 6x - 9 = 105=6x−9=105
= \tt6x = 105 + 9=6x=105+9
= \tt6x = 114=6x=114
= \tt x = \frac{114}{6}=x=
6
114
= \tt x = 19=x=19
Which means :
Money with Miguel = $19
Money with Kira :
= 19 - 9
Thus, Kira has $10 in her wallet.
Money with Charlie :
= 4 × 19
= 76
Thus, Charlie has $76 in his wallet.
Therefore,
Money with Kira = $10
Money with Charlie = $76
Money with Miguel = $19
PLEASE HELP ME GUYS PLEASE!!
Answer:
12
Step-by-step explanation:
It is the smallest number that is divisible by 2, 3, and 6
Explain how to do this please!
Answer:
4 children per counselor
Step-by-step explanation:
Since the question is asking children per counselor, divide the children/counselor. Check all of the rows by dividing the children by counselor to make sure the constant of proportionality is correct. If you divide correctly, the constant of proportionality you get is 4.
Hope it helps!
Answer:
there is 4 students per conceler.
Step-by-step explanation:
please mark as brainllist.
HELP PLEASE
What are the steps in solving this system? (write them in WORDS and solve.)
5x - 2y = 4
10x - 2y = 14
The wrestling team wants to sell pies for a fundraiser. The cafeteria helped out by donating 2 pies. Each pie will be cut into 4 pieces. If the team wants to sell at least 32 pieces, how many pies must the wrestling team bake?
Answer:
The answer would be 8
Step-by-step explanation:
4x8=32
4 is the pieces of each pie
8 is how many pies
32 is how many pieces they need
here are the ingredients needed to make 8 buiscuits 90g of butter 35g of sugar and 125g of flour hamid has 315g of butter 150g of sugar and 500g of flour work out the greatest number of buiscuits hamind can make (and how like the working out)
Answer:
These ten cookie recipes that take less than 15 minutes will blow your mind
What can be better than sitting on a sofa, cuddled up in cozy blanket, sipping tea, and nibbling on a few (or more) fresh, delicious cookies after a long, cold day? You can argue that this situation is impossible; you're busy, and never have enough time or energy for baking yummy goods.
Here at Bright Side, we know how little time you have for desserts. That is why we put together a list of ten recipes for the best cookies that only take 15 minutes to make.
Coconut cookies
Explain the steps to solving a two-step inequality.
Answer:
Step-by-step explanation:
11 + 22x = 9 + 30x
(Please provide the steps to complete the equation)
Answer:
x = 4
PLS LOOK AT THE PIC I HAVE SENT YOU, HOPE THIS WILL HELP YOU!
Answer:
x = 1/4
Step-by-step explanation:
11 + 22x = 9 + 30x
subtract 22x from both sides
11 = 9 + 8x
subtract 9 from both sides
2 = 8x
divide both sides by 8
2/8 = x
simplify
1/4 = x
(-32)^-1.2
*answer needs to be in fraction form*
Answer:
[tex]\dfrac{1}{64}[/tex]
Step-by-step explanation:
[tex](-32)^{-1.2} = \dfrac{1}{(-32)^{\frac{6}{5}}} = \dfrac{1}{(\sqrt[5]{-32})^6}} = \dfrac{1}{(-2)^{6}} = \dfrac{1}{64}[/tex]
what were the two goals of the monroe doctrine? Americans wanted to stop european-
A. globilization, free enterprize
B. intervention colonization
C.colonization, ratification
Answer:
I believe it is C, but i may be wrong.
A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.
If north is taken as the positive direction, what is the velocity of the ship?
7 miles per hour , 7 miles per hour , ,
–3 miles per hour , –3 miles per hour , ,
3 miles per hour , 3 miles per hour , ,
–7 miles per hour
please help!!!
Answer:
3 miles per hour
Step-by-step explanation:
i need the x intercepts for (x+3)(x + 7) = 0
Answer:
-3, -7
Step-by-step explanation:
either x + 3 = 0 --> x = -3
or x + 7 = 0 --> x = -7
Answer:
(-3,0) and (-7,0)
Step-by-step explanation:
what does 3x+8+9x^2 equal?
Answer:
Stays the same. OR Standard form: 9x^2+3x+8
Step-by-step explanation:
You can't factor it. When you add them it's the same bc, you can't combine anymore like terms. let me know if this helps at all? What is your objective? Tryna factor? Add polynomials? ???
This recipe makes 24 shortbread fingers.
Rose follows this recipe, but only wants to make 8 fingers.
How much of each ingredient does she need?
Recipe: Makes 24
120 g butter
60 g sugar
180 g flour
g butter
g sugar
g flour
Answer:
40g butter
20g sugar
60g flour
Step-by-step explanation:
8 is 24/3
then divide all measured by 3
120/3 =40
60/3=20
180/3=60
Answer:
40g butter
20g sugar
60g flour
Step-by-step explanation:
8 is 24/3
then divide all measured by 3
120/3 =40
60/3=20
180/3=60
solve for x joe thank you Joe Joe mama
The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem. Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.
After understanding what the problem is asking for us to do we can attempt to solve the problem. We can see that there are two angles on a straight line and this is known as supplementary angles. Let us define what supplementary angles are.
Supplementary Angles ⇒ Supplementary Angles are two angles that are formed on a straight line causing them to add up to 180 degrees. Therefore, an expression can be made where the two angles add up to 180 and it can be solved for the unknown.In this case we don't have a missing angle but rather a variable that makes up each of the angles. Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180. After that we can solve for the unknown which in turn would give us x.
Create an expression
[tex]Angle_1 + Angle_2 = 180[/tex][tex](2x) + (4x - 6) = 180[/tex]Combine like terms
[tex]2x + 4x - 6 = 180[/tex][tex](2x + 4x) - 6 = 180[/tex][tex](6x) - 6 = 180[/tex]Add 6 to both sides
[tex](6x) - 6 + 6 = 180 + 6[/tex][tex](6x) = 180 + 6[/tex][tex]6x = 186[/tex]Divide both sides by 6
[tex]\frac{6x}{6} = \frac{186}{6}[/tex][tex]x = \frac{186}{6}[/tex][tex]x = 31[/tex]Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Need Help Quick 16 is 20% of which number A.40 B.80 C.96 D.125
Answer:
B. 80. 16 is 20% of 80
Answer:
B. 16 is 20% of 80
Step-by-step explanation:
20×5=100
16×5=80
The table above shows the height of a plant
at the end of each week. The height
increases by the same amount each week. If
this pattern continues, what will be the
height, in inches, of the plant at the end of
the 7th week?
(A) 1.25 in
(B) 1.50 in
(C) 1.75 in
(D) 2.00 in
Answer:
(C) 1.75 in
Step-by-step explanation:
It give you a clue in the question that the height increases by the same amount each week. This means that if you add 0.25 you will get a constant answer. What I mean by constant is this :-
0.25 + 0.25 = 0.5 in
I can also do it by multiplying it by 2.
2 × 0.25 = 0.5 in
If you add 0.25 every time or if you multiply 0.25 by the number of weeks you will get your answer same. So,
7 × 0.25 = 1.75 in
Hope this helps, thank you !!
Answer:
c
Step-by-step explanation:
Today, Reza ate 20 grapes, which was 400% as many
grapes as he ate yesterday. Explain how to use
equivalent ratios to find the number of grapes Reza ate
yesterday. (help plz)
its not a sin to want to win cant see meflying like a bee i see a dreamer other there by the water but i
LOL
Answer:
What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.
To do it, let:
x: number of grapes that Reza ate yesterday
(x / 20) = (100/400).
Clearing x we have:
x = (100/400) * (20) = 5
answer
the number of grapes Reza ate yesterday was 5
Step-by-step explanation:
A clothing store is having a sale in which everything is 10% off. A shirt’s original price is $27. A customer uses a coupon for $5 off after the sale price. How much did the customer save?
Answer:
$5.70
Step-by-step explanation:
Solve for x in the diagram below.
32°
80°
2x
Answer:
Assuming you're talking about the angles of a triangle, X would be [tex]34^{.}[/tex]
Step-by-step explanation:
The sum of the angles in a triangle is 180, 180 - 32 - 80 = 68, [tex]\frac{68}{2}[/tex] is 34, so X is equal to [tex]34^{.}[/tex].
help meee 50 points explain ALL OF IT
Answer:
2
=3
Step-by-step explanation:
yes
help meh please.......
.......
When x = 0.8, D. is correct
2.01 > 2.5(0.8)
2.01 > 2 √
Answer:
D.
Step-by-step explanation:
D is the correct answer choice because once you substitute 0.8 with x and multiply, 2.5 and 0.8.
2.5 · 0.8=2
2.01 is greater than 2
The statement is correct.
The perimeter of a rectangle is 48cm. It's length is 4cm. What is it's width?
Answer:
The width is 20cm
Step-by-step explanation:
4 + 4 = 8
48 - 8 = 40
40 ÷ 2 = 20cm
∠A and \angle B∠B are complementary angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x-2)^{\circ}∠B=(x−2) ∘ , then find the measure of \angle A∠A.
Answer:
118°
Step-by-step explanation:
Two angles are called complementary when their measures add to 90 degrees.
From the question,
Angle A=(2x-10)°
Angle B=(x-2)°
Both Angles are complementary.
Therefore
Step 1
(2x - 10)° + (x - 2)° = 180°
2x + x - 10 - 2 = 180°
3x - 12 = 180°
3x = 180° + 12
3x = 192°
x = 192/3
x = 64°
Step 2
We are to solve for Angle A
(2x-10)°
Angle A = 2(64 ) - 10
Angle A = 128 - 10
Angle A = 118°
The measure of Angle A = 118°
geometry please help me thank you
Answer: For first blank: GNS
P = N G = P S = R
25 points please answer all 4 problems
Answer: The answers are in order
6(n-9)=54
5x=35
3x-6
1/2(y+12)=7
Step-by-step explanation:
If a = 2+√3 , find the value of (a-1/a)^2
Answer:
1
Step-by-step explanation:
The number doing the dividing in a division problem
Answer:
divisor
Step-by-step explanation:
I just looked it up bro lol
Answer:
Divisor
Step-by-step explanation:
It's called the "divisor"
the following cylinder has a volume of 55pi cubic units and a height of 5 units. the cone has the same base area and height, and it has a slant height of 6 units. what is the volume of the cone?
Question:A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3m, then the slant height of the cone (in m) is
Answer:
Given the radius of cylinder and cone are the same because there base areas are same.
Curved surface of cylinder = curved surface area of the cone
∴2πrh=πrl
∴l=2h
Given, height of cylinder =3 cm
Therefore, slant height of cone =6 cm
The volume of the cone is 22π.
How to calculate the volume?Volume of a cylinder = πr²h
55π = πr²(5)
55π = 5πr²
r² = 55π/5π
r² = ✓11
r = 3.3
The volume of the cone will be:
= 1/3πr²h
= 1/3 × π × 3.3² × 6
= 1/3 × 11 × 6 × π
= 22π
Learn more about cone on:
brainly.com/question/1082469
#SPJ6
What are the zeros of f(x)=(x+5)(x-9)?
Answer:
x= -5
x= 9
Step-by-step explanation:
Answer:
x = - 5, x = 9
Step-by-step explanation:
To find the zeros equate f(x) to zero, that is
(x + 5)(x - 9) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 9 = 0 ⇒ x = 9
