Answers:
x = 2.40
y = 1.60
This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60
=======================================
Work Shown:
x = cost of 1 cup of hot cocoa
y = cost of 1 pretzel
5x = cost of 5 cocoas
4y = cost of 4 pretzels
5x+4y = cost of 5 cocoas+4 pretzels
5x+4y = 18.40
----------------
2x = cost of 2 cocoas
4y = cost of 4 pretzels
2x+4y = cost of 2 cocoas+4 pretzels
2x+4y = 11.20
----------------
The system of equations we have is
[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]
Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.
How? By subtracting the equations straight down
The x terms subtract to 5x-2x = 3x
The y terms subtract to 4y-4y = 0y = 0 and they go away
The right hand sides subtract to 18.40 - 11.20 = 7.20
After those three separate subtractions, we have this new equation:
3x = 7.20
Divide both sides by 3 to isolate x
3x/3 = 7.20/3
x = 2.40
Each hot cocoa costs $2.40
Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation
5x+4y = 18.40
5(2.40)+4y = 18.40
12+4y = 18.40
4y = 18.40-12
4y = 6.40
y = 6.40/4
y = 1.60
Each pretzel costs $1.60
If we picked on the second equation, we should get the same y value
Let's find out
2x+4y = 11.20
2(2.40)+4y = 11.20
4.80+4y = 11.20
4y = 11.20-4.80
4y = 6.40
y = 6.40/4
y = 1.60
We get the same result as before.
To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question 3 options: negative x positive positive ÷ negative positive ÷ positive negative x negative negative ÷ positive positive x positive negative ÷ negative positive x negative
Answer:
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Step-by-step explanation:
1. Negative × positive = negative
- × + = -
2. positive ÷ negative = negative
+ ÷ - = -
3. positive ÷ positive = positive
+ ÷ + = +
4. negative x negative = positive
- × - = +
5. negative ÷ positive = negative
- ÷ + = -
6. positive x positive = positive
+ × + = +
7. negative ÷ negative = positive
- ÷ - = +
8. positive x negative = negative
+ × - = -
Negative × positive = negative
positive ÷ negative = negative
negative ÷ positive = negative
positive x negative = negative
Note: when the signs are different, they will give negative
When the signs are the same, they will give positive
Time taken by three students to cycle a distance of 5500 m is, A took
8 min and 20 seconds, whereas B took 5 seconds more than C, who took
3 seconds less than A. Find their speed and arrange students
in the increasing order of their speed.
(Speed
Distance]
A,B,C
BAC
C, AB
C, B, A
Answer:
C,A,B
20 seconds is 1/3 of a minute
A=8 1/3
B= C + 5
B= 5 1/3 + 5
B= 10 1/3
C=A-3
C=8 1/3-3
C=5 1/3
Find the y-intercept in the function: 3x - 2y = 6*
hi there! the y-intercept in the function is...
3 + 3x/2
hope this helped. have a good one!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
•What is the y-intercept
Answer:
y=50
Step-by-step explanation:
25(0)+15y=750
0+15y=750
15y=750
y=50
1. (01.01 LC)
Which of the following is a rational number? (5 points)
√2, √3. √4. √5.
Answer:
root 4 is a rational number
Step-by-step explanation:
A rational number is any number that can be expressed as a fraction of two integers, say where q is not zero.
Suppose that R and S are points on the number line. If RS=9 and R lies at -6 where could S be located
Answer:
at 3
Step-by-step explanation:
because iin a number line we have positives and negatives if rlR is at nine then S is at 3
2. Which expression is equivalent to 1/3 p + 15?
A. 1/3 (p + 45)
B. 1/3 (p + 5)
C. 3(p + 45)
D. 3(p + 5)
Answer:
1/3 ( p + 45)
Step-by-step explanations:
The need to feed and care for young children in pre-historic society led to
A. men and women doing different tasks.
B. a mostly vegetarian diet.
C. the development of agriculture.
D. the invention of stone tools.
Answer:
B
Step-by-step explanation:
a mostly vegetarian diet
5 stars plz
if there are 10 people per race, and 2222 people have come in first place, then how many races have happened?
Answer:
22,220
Step-by-step explanation:
Because you multiply by 10 because 2222 times 1 is 1 person per race, so if there is 10 then you multiply by 10.
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A. 2:1
B. 3:2
C. 9:4
D. 9:5
Answer:
D.
Step-by-step explanation:
Because 36:20 simplified is 9:5.
Answer:
It is D 9:5
Step-by-step explanation:
Beacuse 9x4= 36
and 5x4= 20
so 36:20 or 9:5
I need help please 20 points
Answer:
5^9
Step-by-step explanation:
subtract them. base (5) stays the same
What is the supplement of an angle that
measures 21 degrees?
Answer:
159°
Step-by-step explanation:
Supplements equal a total of 180°. The expression for these types of problems would be
180-x
In this case, x would be 21. Plug it in to our expression.
180-21
159
What is angle KNL
Enter your answer in the box
[]
Answer:
20
Step-by-step explanation:
So in case you did not know, MNJ and KNL have the same angle measure, so to find x you would just set each of the eqautions equal to each other. distribute the 3 to (x + 14) and get 5x+ 2 = 3x + 42. subtract 2 from one side and do the same on the other side. this would leave your eqaution looking like this: 5x-40= 3x, next subtract 5x from both sides and you will get -2x=-40, then vide by -2 and x will equal 20
Jacob split the cost of snacks, which was $12.24, with two friends. Before they ate, another friend joined them and paid Jacob for his fourth of the cost.
How much does Jacob need to refund each of the other two friends so that everyone pays the same amount?
Answer:
3.06
Step-by-step explanation:
12.24/4
Answer:
4.08
Step-by-step explanation:
Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?
3(4x - 2) > 7x + 19
Answer:
12x-6>7x=19
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!!!
Answer:
11fl oz/per hr divided by 5.333=2.0625 or rounded to the nearest tenth 2.1 gallons per day.
Step-by-step explanation:
A builder bought 47 1/2 acres of land and divided it into lots of 2 1/2 acres each. How many lots were
there?
Answer:
19 lots
Step-by-step explanation:
i took my exam and it was right
Can someone please answer this question for me 3(7q−10)
Answer:
21q-30
Step-by-step explanation:
If u use the distributive property, 3*7 is 21, therefore it would be 21q, and 3*10 is 30, so, the final answer would be 21q-30.
Simplify:
(Xy/3z/4)/4
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200
Answer:
It would be 2,000x+200
Step-by-step explanation:
okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.
The table and statement show the hours worked and the amounts paid for two workers.
A table labeled Worker A Earnings. It contains a row for Hours worked with the amounts 7, 12, 21, 33, 40, and a row for Amount paid with the amounts 87.50, 150, 262.50, 412.50, and 500.
Worker B earns $11.25 per hour
Which statements about the rates of pay for the two workers are true?
Select each correct answer.
Worker A earns less per hour than Worker B.
Worker B earns more after 10 hours than worker A.
Worker A earns $12.50 per hour.
After 20 hours of work, Worker A earns more than Worker B.
1st statement is correct
2nd statement is correct.
finding the average hours worker A does and then the average amount paid i got
average hrs = 22.6 hrs and average amount paid= $250
so comparing them to one hr i got the amount paid to worker A in one hr which is $1.11
so compare to worker B earnings and find the true statements
Answers:
Worker A earns $12.50 per hour.After 20 hours of work, Worker A earns more than Worker BProof:
( Down below!! )
[ I hope this helps!!! ]
-GXLDIE <3
Hello i am a 5th grader and I need some help with a math problem. I would appreciate it if you could help me with it.
The problem is Miguel finishes swim team practice every day at 6:00 P.M. It takes him 15 minutes to get to the pool from his house. What information is needed to find the time at which he starts practice?
A. the time it takes him to get home from the pool
B. the number of hours he stays at the pool
C. the time he spends on homework before practice
D. the time it takes him to eat dinner
Answer:
A
Step-by-step explanation:all of the others answers make no sense
Solve C=85x+60 for x
Answer:
it is 85x and I'm only in middle school
What do you notice about the angles with vertex B and the angles with vertex e
Answer:
They have the same degree
Step-by-step explanation:
They have the same degree due to them being corresponding angles
What is 859 divided by 3 with remainder
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So all you have to do is use long division because a calculator won't help you with this if you are looking for a remainder so basically you just divide then you will get...
[tex]\frac{859}{3}=?\\?=286 R: 1[/tex]
So the answer is 286 and a remainder of 1.
The result of the division problem ; with the quotient and remainder respectively are 286 and 1
Numerator = 859Denominator = 3__ 286 ______quotient
______
3 | 859
__6
-
__259
__24
-___19
-___18
____1 ________ remainder
Therefore, the quotient and remainder of the divison expression are 286 and 1
Learn more : https://brainly.com/question/15165519
The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units
The volume of box at x = 4 is, 100 cubic units
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
The volume of the box is modeled by the function,
⇒ V (x) = 5x² + 5x
Now, At x = 4;
The volume of the box is,
⇒ V (x) = 5x² + 5x
⇒ V (4) = 5 × 4² + 5 × 4
⇒ V (4) = 5 × 16 + 20
⇒ V (4) = 80 + 20
⇒ V (4) = 100 cubic units
Learn more about the cuboid visit:
https://brainly.com/question/26403859
#SPJ2
HELP PLEASE
Benito drew a graph representing the number of miles he ran and the number
calories he burned. What is the unit rate in calories per mile? 3 4 250 1,000
Answer:
250
Step-by-step explanation:
1000 divided by 4, is 250
The unit rate would be 250 calories per mile which is the slope of the given linear function.
What is the unit rate?The unit rate of a linear function is defined as the slope of the linear function.
The slope is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
The given graph represents the number of miles he ran and the number of calories burned.
Taking two points as per the given graph :(2, 500), (6, 1500)
Let
x₁ = 2, y₁ = 500
x₂ = 6, y₂ = 1500
Substitute values in the formula to get
unit rate = (1500 - 500)/(6 - 2)
unit rate = (1000)/(4)
Apply the division operation,
unit rate = 250
Therefore, the unit rate would be 250 calories per mile
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ6
BRAINLIST AND 40 POINTS PLEASE HELP ASAP NO ONE IS HELPING:(
#1 Which equation represents a direct variation? *
Output = Input x 8 + 2
Output = Input x 5
Output = Input x 3 + 1
Output = Input x 6 + 4
#2 Which equation represents a partial variation? *
Output = Input x 3
Output = Input x 6
Output = Input x 2 + 5
Output = Input x 9
Answer:
for #1 its B : output = input x5
and for #2 its C : output= input x2 +5
In 2004, Cindy had $4000 in a mutual fund account. In 2005, the
amount in the same account was $5000. If the percent increase from
2004 to 2005 was the same as the percent increase from 2005 to
2006, how much did Cindy have in this account in 2006?