Given that there are 50 campers at day camp and 10 counselors.
The ratio of campers to counselors as a fraction is given by .
Using equivalent fractions we have .
Thus, the related rate and unit rate to the ratio of campers to counselors is given by .
The unit rate indicates that for every counselor, there are 5 campers.
Your welcome :3
1.Phone company A charges $20 a month and $0.10 per minute of phone calls. Phone Company B charges
$15 a month and $0.20 per minute of phone calls. How many minutes of phone call will it take for
Company A to cost the same as Company B?
I might be wrong but I think it's 50 minutes.
$0.10 x 50min = $5
$20 + $5 = $25
$0.20 x 50min = $10
$15 + $10 = $25
So, it's 50 minutes.
HELP I WILL MARK YOU BRAINLIEST A bag of flour contains 5 pounds of flour. A batch of cookies required 0.10 pounds of flour. How many batches can be made with the 5-pound bag?
Answer:
50 batches
Step-by-step explanation:
A bag of flour = 5 pounds of flour
A batch of cookies = 0.10 pounds of flour
How many batches can be made with the 5-pound bag?
Batch of cookies in 5 pounds of flour = Total pounds of flour / flour needed per batch of cookies
= 5 pounds / 0.10 pounds
= 50 batches of cookies
50 batches of cookies can be made with 5 pounds of flour
Answer : with one pound of pizza dough you can make one large pizza or two 10-inch pizzas.
so 15 Large pizzas or 30 10 in pizzas
Step-by-step explanation:
w(x) = 2xsquare3 + 3x; Find w(3)
HOPE THIS IS THE ANSWER
1
If y=4x + 5,
What is y when Ox= 3, and ii) x= -3
When x= 3 then y= 17
When x = -3 then y = -7
Represent the following sentence as an algebraic expression, where “a number” is the letter x. 1 less than a number
Answer:
x-1
Step-by-step explanation:
if "a number" is x, then one less than that would be subtracting one.
= x-1
Hope this helps!
Solve |7x + 21| = 14x. Identify the solution and an extraneous solution.
Answer:
Step-by-step explanation:
solution: x=3;
extraneous solution: x=-1
The solution is 3 and the extraneous solution is -1.
What is the modulus function?The modulus function is the function which gives the magnitude or absolute of the number in the variable.
|x|=x if x>0
-x if x<0
0 if x=0
So according to question,
|7x+21|=14x
case-1: if 7x+21>0
⇒7x>-21
⇒x>-21/7
⇒x>-3
if 7x+21>0 , Using the modulus function property
|7x+21|=14x
⇒7x+21=14x
⇒14x-7x=21
⇒7x=21
⇒x=21/7
⇒x=3 which is also x>-3
x=3 is the solution
case-2: if 7x+21<0
⇒7x<-21
⇒x<-21/7
⇒x<-3
if 7x+21<0 , Using the modulus function property
|7x+21|=14x
⇒-(7x+21)=14x
⇒-7x-21=14x
⇒14x+7x=-21
⇒21x=-21
⇒x=-21/21
⇒x=-1 for which x<-3 is not true
x=-1 is an extraneous solution.
Therefore the solution is 3 and the extraneous solution is -1.
Learn more about the modulus function
here: https://brainly.com/question/26258141
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A bottle of maple syrup in Wayne’s freezer needs to be warmed for breakfast. Sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. If the bottle temperature begins at the freezer temperature of –16° C, how many hours will it take to reach 20° C?
Answer:
3.75 hours, hope this helps
y= 3/2 x -3 how do you do this on a graph
There is a 12.5% tax on items purchased in Arlington. What is the percent of the original price you will pay? Write your answer as a percent, decimal and fraction in the space below.
I have to pay 12.5% more than the original price.
The decimal representation is 0.125.
The fractional representation is 112.5/100.
What is the percentage?The percentage is the value per hundredth.
Given there is a 12.5% of tax on items purchased in Arlington.
Assuming the original price of a product is 100 dollars.
∴ The price of the product with 12.5% of tax is,
= (100 + 12.5)/(100)×100.
= 112.5 dollars.
∴ I have to pay 112.5 dollars for every 100dollar product.
So, the percentage of the original price that I have to pay is (112.5/100).
= 12.5%.
The decimal value of 12.5% is (12.5/100) = 0.125.
The fractional representation is 112.5/100.
learn more about percentage here :
https://brainly.com/question/28269290
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ak-r=on, solve for k
Answer:
U need to copy and paste more of the question
Step-by-step explanation:
Start copy at the top go all the way to the bottem of the question and paste into brainly.
use ctrl c for copy and crtl v for paste
solve for c: c - 12 = 3
Steps to solve:
c - 12 = 3
~Add 12 to both sides
c = 15
Best of Luck!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{c = 15}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{c - 12 = 3}[/tex]
Move 12 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{c = 3 + 12}}[/tex]
Add the numbers: 3 and 12
[tex] \dashrightarrow{ \sf{c = 15}}[/tex]
Hope I helped!
Best regards! :D
David purchased 1.5 pounds of apples that cost 3.60 per pound. If he gave the cashier a twenty dollar bill, how much change would he receive?
Simon and Iris earned money by selling candy. They earned $12 by recycling. They split the total and each got $100. How much money did they earn selling candy?
Answer:
188
Step-by-step explanation:
3(5m – 7) + 4 = 8m + 18
Can you also explain it. I stuck on where the +4 goes
Answer:
m=5
Step-by-step explanation:
Firstly we know we are solving for M.
So we start like this.
[tex]3(5m - 7) + 4 = 8m + 1 [/tex]
use the distributive property to multiply 3 by 5m-7=
[tex]15m - 21 + 4 =8m + 18[/tex]
Add -21 and 3 to get -17
[tex]15m - 17 = 8m + 16[/tex]
subtract 8m from both sides
[tex]15 m - 17 - 8m = 18[/tex]
combine 15m and -8m to get 8m
[tex]7m - 17 = 18[/tex]
Add 17 to both sides
[tex]7m = 18 + 17[/tex]
Add 18 and 17 to get 35
[tex]7m = 35[/tex]
Divide both sides by 7
[tex]m = \binom{35}{7} [/tex]
Divide 35 by 7 to get 5
[tex]m = 5[/tex]
-2x + 10 = -2(x + 5)
Ox= 5
O = -5.
O infinitely many solutions
O no solution
Answer:
infinitely many solutions
Step-by-step explanation:
they both are the same expression just in different forms.
What is the value of the expression below when w
=
9 and x = 2?
W – 4x
Answer:
1
Step-by-step explanation:
we are given that: [tex]x = 2[/tex] and [tex]w = 9[/tex]
[tex]w - 4x \\9 - 4*2 \\9 - 8 \\1[/tex]
You have a square flower garden that has an area of 400 square yards. What is the length of one side of the garden?
Answer:
20 yards
Step-by-step explanation:
The area of a square is calculated by multiplying its height by its base. Because they are the same in a square, the area of a square is obtained by squaring one of its sides. Let's call the sides 'x'. Then we can express the area of the garden as x^2=400.
From here we simply need to square root both sides which gives us:
x=20
Therefore the length of one side of the garden is 20 yards.
Hope this helped!
0.2(x + 3) - 4(2x - 3) = 3.4
Answer:
x= 1.¯17948¯¯
Explain:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
your answer is incorrect
Step-by-step explanation:
0.2 times (x+3) = 0.2x + .6
4(2x-3) = 4 x 2x + 4 x -3 = 4 x 2x + -7 = 6x + -7
0.2x + .6 - 6x + -7 = -5.8x + -7
because you cannot combine terms that are not alike, then your final answer would have to be -5.8x + -7 because you did not give us what x is equal to.
Evaluate 2a + 4b if a =10 and b=6
Answer:
44
Step-by-step explanation:
The length of C. D. Akers rectangular garden is 37 feet shorter than six times the width. If the perimeter of
his garden is 164 feet, what are the dimensions of Mr. Akers' garden?
Answer:
17 feet by 65 feet
Step-by-step explanation:
If w represents the width of the garden, then 6w-37 is the length. The perimeter of a rectangle is twice the sum of length and width, so the perimeter is ...
164 = 2(w +(6w -37)) = 14w -74
238 = 14w
238/14 = w = 17
__
6w-37 = 6·17 -37 = 65
The width of the garden is 17 feet; the length is 65 feet.
The polygons are similar solve for x
Answer:
x=12
Step-by-step explanation:
14/21=16/(x+12)
cross multiply
14(x+12)=16(21)
14x+168=336
14x=336-168
14x=168
x=12 (so the side would be x+12=24)
You could also see that 14 is 2/3 of 21, so 16 has to be 2/3 of x+12. That means x+12 would have to equal 24. If you take the 12 away from 24, x=12.
can someone help me with factoring by grouping please show step by step
problem: x^2+4x+3
Answer:
(x+3) ● (x+1)
Step-by-step explanation:
x^2 + 3x + x + 3
x ● (x+3) + x +3
(x+3) ● (x+1)
Solve for x. 7x−9 11
Answer: x < 3
Step-by-step explanation:
Let's solve your inequality step-by-step.
7x−9<12
Step 1: Add 9 to both sides.
7x−9+9<12+9 =7x<21
Step 2: Divide both sides by 7.
7x/7 < 21/7
Answer: x < 3
4/x=28/70
Pleaseeeee hwlpp
Answer:
x= 10
Step-by-step explanation:
hay esta la respuesta:)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{4}{x} = \frac{28}{70}} [/tex]
Do cross multiplication
[tex] \longrightarrow{ \sf{28x = 4 \times 70}}[/tex]
Multiply the numbers: 4 and 70
[tex] \longrightarrow{ \sf{28x = 280}}[/tex]
Divide both sides by 28
[tex] \longrightarrow{ \sf{ \frac{28x}{28} = \frac{280}{28}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 10}}[/tex]
Hope I helped!
Best regards! :D
Write in scientific notation 0.0053
Answer:
5.3 times 10^-3
Step-by-step explanation:
Answer:
5.3×10-3
Step-by-step explanation:
|2x− 3/4| =5 6/7 FIND ANSWER CORRECT = BRAINLIEST NO WORK NEEDED
Answer:
x=-99/56 or x=141/56
Step-by-step explanation:
2. Tom makes $50 a day, 5 days a week. If his rent every four weeks was $500, what is
his overall net profit?
Answer:
$500 net profit in 4 weeks
Step-by-step explanation:
+$50 a day, 5 days a week, -$500 every 4 weeks
1. solve for initial profit in 4 weeks
5 profitable day*4 weeks= 20 days Tom makes a profit
20 days*$50= $1000 in 20 days
2. subtract rent from initial profit
1000-500= $500
State the domain and range for the following relation.
{(-4,4), (1, 2), (0, 3), (3, 2)}
Answer:
Step-by-step explanation:
D= {-4,1,0,3}
R={4,2,3,2}
Find the product: (-3)(-100) *
Answer:
300
Step-by-step explanation:
(-3)(-100)= -3 x -100
A NEGATIVE MULTIPLIED BY A NEGATIVE WILL ALWAYS GET A POSITIVE SO MAKE -3 INTO 3 AND TURN -100 INTO 100.
Now you have 3 x 100 which gets you 300
Which is the correct simplified version of the expression shown below
after combining like terms?
12 + 3.4x -5.4x - X
A. -3x + 12
B. 9x
C. 9.8x + 12
D. -2x + 12
Answer:
D. -2x+12
Step-by-step explanation:
you combine all values with x because they are like terms.
:) hope this helps
Answer:
-2x+12
D is the best answer.
