Answers
Answer: x=37, y=9
Step-by-step explanation:
3x+11+x+21=180
4x+32=180
4x=148
x=37
3(37)+11=14y-4
111+11=14y-4
122=14y-4
14y=126
y=9
Related Questions
4.5x-1.5y=5.4 solve equation for y
Answers
Answer:
y=-3.6+3x
Step-by-step explanation:
Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
A possible solution is she should by 6 bags of popcorn and 10 drinks
Step-by-step explanation:
The price of each bag of popcorn = $7.50
The price of each drink = $4.50
The amount Sarah has to spend = $90
The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks
Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y
Therefore, we have;
x + y ≥ 16.....(1)
x × 7.5 + y × 4.5 ≤ 90
Which gives;
7.5·x + 4.5·y ≤ 90....(2)
Rewriting the inequalities as a function of y, gives;
From inequality (1), x + y ≥ 16, we have;
y = ≥ 16 - x
From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;
7.5·x + 4.5·y ≤ 90
4.5·y ≤ 90 - 7.5·x
y ≤ 90/4.5 - 7.5/4.5·x
y ≤ 20 - 5/3·x
Please find attached, the plot of the inequalities
A possible solution is given as the value of x = 6, where y = 10
Therefore, she should by 6 bags of popcorn and 10 drinks.
Write the ratio 12 dollars for 3 tickets as a unit rate
Answers
Answer:
12:3
Step-by-step explanation:
Can someone help really quickly?
Answers
2. -5
3. 10
4. 15
5. 30
[tex]\bold{Explanation:}[/tex]Plug the x values into f(x)=5x+5 to get the f(x) values
Class 6 are going on a trip to a windmill.
The trip costs £3.70 each and there are 26 students in 8A. How much money should be collected?
Answers
Can you explain pls
Answers
Answer:
d
Step-by-step explanation:
If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.
find the midpoint of the line segment joining the points. (6, -5), (6, 3)
Answers
Answer:
The mid point is (6,-1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
3-5/2
6-6/2
-2/2=-1
0/2= 0
(-1,0)
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled? 29 32 3212 234916
Answers
Answer: 30 small bags
Step-by-step explanation:
From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.
When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:
= 6514/214
= 30.43
= 30 small bags
Which relation represents a function?
A. (0, 0), (2, 3), (2, 5), (6, 6)
B. (3, 5), (8, 4), (10, 11), (10, 6)
C. (negative 2, 2), (0, 2), (7, 2), (11, 2)
D.(13, 2), (13, 3), (13, 4), (13, 5)
Answers
For choices A, B and D, the x values repeat in some way.
Choice A has x = 2 repeated
Choice B has x = 10 repeated
Choice D has x = 13 repeated
A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.
Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
Answers
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answers
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
Can someone help me with this? Multiply (3.1•10^5)(1.8•10^2)
Answers
Answer:
5.58 x 10^7
Step-by-step explanation:
The total number of students enrolled at Twin Rivers Middle School is 2,000 students. If the ratio of boys to girls is also 3 to 2 for the school, how many students are boys and how many students are girls at Twin Rivers Middle School? Prove your answer by showing your work.
Answers
Answer:
3:2
3 to 2
or
3/2
Step-by-step explanation:
Answer:
There are 800
Step-by-step explanation:
divide 2000 by 5
That gives you an even distribute of 400
so if you have 3 for boys that gives you 1200
What is left is two which is 800 so the answer is 800
2000(divide symbol)5=400
400+400+400=1200 (boys)
400+400=800(girls)
which sutuation could be represented by -11
Answers
Answer:
You have no apples then loose 11 more
Step-by-step explanation:
Trust
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths
9 cm, x cm, and 12 cm joining to form right triangle at the centre
12 inches
15 inches
108 inches
144 inches
Answers
Answer:
where is the figure? upload the fig too
Answer:
15
Step-by-step explanation:
9*9+12*12=225
12*12=144
15*15=225
108*108=11664
144*144=20736
i will mark you as brainliest please help!!
Answers
Answer:
y=x
Step-by-step explanation:
y1 is -4 and x1 is -4 so I think that's the amswer
What is the value of x?
Answers
Answer:
x=30
Step-by-step explanation:
Help? Find angle psw
Answers
A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.
Answers
5/6 three times makes 15/6. Made into a mixed fraction is 2 3/6, which in its simplest form is 2 1/2.
When converted to ounces, assuming that 6/6 is one complete ounce, then you get 2.5 ounces.
The total weight she picked up is 2.5 ounces.
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answers
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
Whitch of the following best represents a graph with a range that is less than -3?
Answers
Help me please, very important!!! (PLEASE)
Read the question carefully!
Answers
a,b,c,d
A fish tank can
hold 17 fish. It
started with 3.
Goldie puts in 2
new fish per day.
Answers
Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?
A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.
Answers
Answer:
Let 2n + 1 be an odd number...... B/2nd option
Step-by-step explanation:
The best choice is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.
Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
What is Conjecture?A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.
First, Only three examples are given which is not appropriate at all.
Second, This is the best proof is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
Fourth, State the meaning of Title without proof.
Learn more about Conjecture here:
https://brainly.com/question/29153415
#SPJ2
Find the product.
(t - ys)(8t - ys)
Answers
Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV
Answers
3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).
Answers
Answer:
X=1 or C
I hope this helps:)
Answer:
The Answer is C. x = 1
Hope This Helps!
Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
Answers
Answer:
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
Step-by-step explanation:
The model equation is given as:
52(18) + x = 1200
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
52($18) + x = $1200
52(18) + x = $1200
Option a is correct
b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.
x = weekly bonus, hence, we have the equation:
$18 + (x)52 = $1200
Option b is wrong
c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.
This is represented as:
$52 + $18(x) = $1200
Option c is wrong
d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
This is represented as :
$52+ $x + $18 = $1200
Option d is wrong.
Therefore, the correct statement that modelled the equation is option a
The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?
Answers
Hi there
I think I maybe able to help.
Here is my answer:
996
Hope this helps
What number would go in the blank? (3 • 5) • 2 = 3• C • 2)
Answers
Answer:
its 5
Step-by-step explanation: