Question:
(a) Write a linear equation that describes the problem
(b). If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?
Answer:
a. [tex]0.10x + 0.05y = 500[/tex]
b. 2000 cans
Step-by-step explanation:
We have the following:
[tex]Cost = \$0.10[/tex] per aluminum
[tex]Cost = \$0.05[/tex] per plastic bottle
[tex]Total = \$500[/tex]
Solving (a): The linear equation.
If 1 aluminum can costs $0.10,
x cans would cost $0.10x
If 1 plastic bottle costs $0.05,
y bottles would cost $0.05y
Total Cost:
[tex]Aluminum + Plastic = Total[/tex]
[tex]0.10x + 0.05y = 500[/tex]
b.
If y = 6000.
Solve for x
We have:
[tex]0.10x + 0.05y = 500[/tex]
Substitute 6000 for y
[tex]0.10x + 0.05* 6000 = 500[/tex]
[tex]0.10x + 300= 500[/tex]
Collect Like Terms
[tex]0.10x = 500 - 300[/tex]
[tex]0.10x = 200[/tex]
Solve for x
[tex]x = 200/0.10[/tex]
[tex]x = 2000[/tex]
can you help me please
Answer:
zero slope
Step-by-step explanation:
its not goin up or down so there is no slope:)
also look below :)
there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there
Answer:
22 dimes, 8 Nickels
Step-by-step explanation:
Solve: 3 – 8x = -13 Please help
Answer:
x=2
Step-by-step explanation:
Mark uses 10 cups of apple juice and 16 cups of orange juice to make fruit punch. Deon uses an equivalent ratio of apple juice to orange juice when he makes fruit punch. Which ratio of apple juice to orange juice could Deon use?
Given that,
No of cups of Apple juice = 10
No of cups of Orange juice = 16
Solution,
The ratio of Apple juice to the Orange juice will be :
[tex]R=\dfrac{10}{16}[/tex] ....(1)
For equivalent fraction, multiply both numerator and denominator by 2 such that,
[tex]R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}[/tex]
Dividing both numerator and denominator 2 such that,
[tex]R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}[/tex]
So, the required ratio is 5/8.
Find value of P and Q
Answer:
[tex] P= 6 \frac{1}{7}\\\\
Q = 4 \frac{2}{7}[/tex]
Step-by-step Explanation
[tex] \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2} } = P+Q\sqrt 2 \\ \\ \frac{(5 + 3 \sqrt{2}) }{(5 - 3 \sqrt{2}) } \times \frac{(5 + 3 \sqrt{2}) }{(5 + 3 \sqrt{2} )} = P+Q\sqrt 2 \\ \\ \frac{ {(5 + 3 \sqrt{2} )}^{2} }{ {(5)}^{2} - (3 \sqrt{2})^{2} } = P+Q\sqrt 2 \\ \\ \frac{ {5}^{2} + {(3 \sqrt{2} )^{2} + 2.5.3 \sqrt{2} } }{25 - 9 \times 2} = P+Q\sqrt 2 \\ \\\frac{ 25 + 18 + 30 \sqrt{2} }{25 - 18} = P+Q\sqrt 2 \\ \\\frac{ 43 + 30 \sqrt{2} }{7} = P+Q\sqrt 2 \\ \\ \frac{43}{7} + \frac{30 }{7} \sqrt{2} = P+Q\sqrt 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ P = \frac{43}{7} \\ \\ \huge \red { \boxed{ P= 6 \frac{1}{7}}} \\ \\ Q = \frac{30}{7} \\ \\ \huge \orange { \boxed{ Q = 4 \frac{2}{7} }}[/tex]
Evaluate 4(3x) - 8- x2 for the following values of x.
a. X =3
b. X = -3
Answer:
a. 19 b. -53
Step-by-step explanation:
I did it mentally, but you plug those x values into the equation.
-1/5÷2/0 plzz i need this
[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100
or -0.01
there are two answers you can come up with choose wisely
One way to show that two triangles are similar is to show that ______.
Answer:
they have two congruent angles or AA
Step-by-step explanation:
Answer:
they have two congruent angles or AA
Step-by-step explanation:
What is the value of x in the equation x -3/4 = 5 1/6
Step-by-step explanation:
x-3/4=5 1/6
(4x-3)/4=31/6
(4x-3)/2=31/3
12x-9=62
12x=71
X=71/12
For her parents' anniversary party, Sarah is considering using one of two venues. A hotel in Booneville will cost $904 for a reservation, plus $86 per person. A restaurant in the same city will cost $89 per person, in addition to $901 for the reservation. In order to make the best decision, Sarah figures out how many attendees it would take to have the venues cost the same amount. How many attendees would that be? What would the total cost be?
Answer:
x = 1
$990
Step-by-step explanation:
First you want to write the linear equations for both scenarios
in the first scenario hotel:
y = 86x + 904 where x = # of people, y = total cost
in the second scenario restaurant:
y= 89x + 901
now you want to set them equal to each other since you want to know how many people (x) will be needed to make total costs equal.
86x + 904 = 89x + 901
subtract 86x on both sides to move all x terms on the right
904 = 3x + 901
subtract 901 on both sides to move numbers to the left
3 = 3x
divide both sides by 3
1 = x or x=1
So it would take 1 attendee.
Now plug in x=1 into either equation to find the total cost that is the same.
y = 86(1) + 904
= 86 + 904
= $990
please give thanks by clicking heart :)
Please help me with this homework from 1 to 8 and tell me how you get it
Answer:
[tex]x = - 1 \\ y = - 5 \\ m = - 6 \\ z = 3 \\ q = 0 \\ n = - 2 \\ w = - 1 \\ k = - 2[/tex]
Step-by-step explanation:
I just showed my work process in the pictures.
Consider the function 1(x) = 3x - 2 and the function g(x), which is represented by the table below. 1 3 5 7 9 g) 3 7 11 15 19 Which of the following statements about f(x) and g(x) is true? Select all that apply. The values of f(x) and g(x) are the same at x = 3. The lines represented by f(x) and g(x) are parallel. The y-intercept of f(x) is smaller than the y-intercept of g(x). The line represented by f(x) crosses the x-axis to the right of the line represented by g(x). The slope of f(x) is smaller than the slope of gx).
Answer: 1,2,5
Step-by-step explanation:
Jenny will choose between two restaurants to purchase pizzas for her party. The first restaurant charges a delivery fee of $6 for the entire purchase and 12 per pizza. The second restaurant has no delivery fee and charges 14 per pizza.
Answer:
The second one
Step-by-step explanation:
The second one because if you compare 12+6=18 to 14 the better buy is the second one because 14 is less than 18
Distance 22
= 11
Time
2
(Simplify your answer.)
miles
hour
Find the unit rate (constant of proportionality) for Bobby.
Use (2, 1) and (4.) to find the constant of proportionality.
Enter your answer in the edit fields and then click Check Answer
It is 2 by 20 and 4 by 40
Answer:
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.
PLEASE ANSWER ASAP
Which statement is correct about triangle I and triangle 2?
The triangles are similar because corresponding sides are congruent.
The triangles are not similar because corresponding sides have different lengths.
The triangles are similar because corresponding angles are congruent.
The triangles are not similar because corresponding angles have different angle measures.
Answer:
Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.
Prove that 3+2 root 3 is irrational
Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
In a collection of coins there are twice as many nickels as dimes and seven less quarters then dimes. Find the number of each coin if the collection is worth $16.25
Answer:
15 nickels, 6 quarters, and 12 dimes.
Step-by-step explanation: i hoped it helped ;)
The formula for the circumference of a circle is c=2pir where r is the radius and c is the circumference. The equation r is r=c/2pi
Answer:
r = 8
Step-by-step explanation:
The circumference of a circle is given by :
[tex]C=2\pi r[/tex] ...(1)
We need to find the value of r when C = 16π
Solving equation (1)
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]
So, the value of r is 8. Hence, the correct option is (b).
3x+-6+2 > = 5x -8......can someone please solve this
Answer:
x ≤ 2
Step-by-step explanation:
If you referencing ">=" as greater than or equal to, follow the solution below:
Solve:
3x - 6 + 2 ≥ 5x - 8
Combine like terms.
3x - 4 ≥ 5x - 8
Subtract 5x from both sides.
-2x - 4 ≥ -8
Add 4 to both sides.
-2x ≥ -4
Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.
x ≤ 2
Your answer would be x ≤ 2
The list below shows all of the possible outcomes for flipping four coins.
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
What is the probability of getting the same number of heads and tails?
StartFraction 1 over 8 EndFraction
One-fourth
StartFraction 3 over 8 EndFraction
Three-fourths
40 points
Answer:
3/8
Step-by-step explanation:
Answer:
C: 3/8
Step-by-step explanation:
edg2021
There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8
PLZ ANSWER!!! I DONT KNOW HOW TO WRITE THIS SO LOOK AT THE PIC
Answer:
24
Step-by-step explanation:
Can i have brainliest
HURRYYY i neeeeeddd helppppppppp look at the photo ^^^
What is the highest common factor of 4xy ,12x2y
Answer:
Step-by-step explanation:
12x^2y / 4xy = 3x
So 4xy is the highest common factor.
Answer:
4x2y
Step-by-step explanation:
4xy = 4x4y
12x ÷ 4 = 3x
2y ÷ 2 = 1y
Hope this helps !
Merry Christmas
If the edge of a square measures 3x, which expression represents the perimeter?
A) 12x B) 3x + 4 C) 6x D) 6x2
Answer:
A
Step-by-step explanation:
3x × 4 =12x
Mark me brainliest pls
and thank me
Answer:
I think it is A
Step-by-step explanation:
Hope this helped have an amazing day!
PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Explain pls :)
At the store, beef was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?
Answer:
$221.1
Step-by-step explanation:
Divide 73.70 by 5 pounds so that you can get the price of 1 pound beef
After diving the price for one pound of beef is $14.74.
Now, you have the price of 1 pound beef, you can just multiply it with 15 pounds.
15 x 14.74 = 221.1
Answer:
$221.1
Step-by-step explanation:
you multiplie it buy 5
Help please no wrong answer
There are five members in a family and the average mass is 42.5 kg. What is the total mass? Please help me.
Answer:
the total mass is 212.5 kg
Step-by-step explanation:
The computation of the total mass is as follows;
Given that
Number of family members = 5
And, the average mass is 42.5 kg
Now based on the above information
The total mass is
= Number of family members × average mass
= 5 × 42.5 kg
= 212.5 kg
Hence, the total mass is 212.5 kg
2 adults for every 24 children and theee are 72 children
Answer:
6 adults
Step-by-step explanation:
72/24= 3 and 3*2=6 adults
Answer:
there are 6 adults
Step-by-step explanation:
24x3=72
2x3=6
Have a great day!
Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x+ 25 = 8
X^2+10x+25 =8
Answer shown in figures below
A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to get a number for kids and adults
Answer:
30 adult tickets and 24 kid tickets
Step-by-step explanation:
set up equations
x=adult tickets
y=kid tickets
x(adult tickets)+y(kid tickets)=54(people in total)
x+y=54
$8x+$5y=$360
$8 per ticket for adults
$5 per ticket for kids
total of $360 earned
8x+5y=360
↓
x+y=54
8x+5y=360
solve by elimination or substitution or even graph to get
(x,y)=(30,24)
x=30
y=24