Answers
Answer:
C
Step-by-step explanation:
Using the distributive property of multiplication, we can say that 4x+4y-10 >= x+6y-4. Since we want to solve for y, we'll remove the x from one side (in this case, the left). Subtracting 4x from both sides, we get that 4y-10 >= -3x+6y-4. Separating the y, we can similarly subtract 6y from both sides to get rid of the y on the right and add 10 to both sides to get rid of the 10 on the left, resulting in -2y >= -3x+6. As we want to separate y, we must multiply our inequality by a negative number (-1/2, to be exact, as 1/(-2) = -1/2). However, when we multiply by a negative number, we must flip the sign. Thus, if we multiply both sides by -1/2, our result is y<= 1.5x+3, or C
Related Questions
Determine whether each relationship represented by the ordered pairs is a function. Explain.. Please answer both problems. 8. (2,2), (3,1), (5,7), (8,0), (9,1)... 9. (0,4), (5,1), (2,8), (6,3), (5,9)
Answers
Answer:
8.) Not a function
9.) Is a function
Step-by-step explanation:
In order for a set of coordinates to be a function, the y cannot be repeated.
In number 8, there is (3,1) and (9,1)
Not a function
In number 9, each coordinate is unique and doesn't repeat the y.
Is a function
I have no idea how to do this. My teacher just threw it on us, please help. <3
Answers
Answer:
(25 1/3)/76
15.5/2
Step-by-step explanation:
I'll do the first two for you, and you can use that to do the rest. Essentially, what we have to do is match up the functions so that they have the same numerator/denominator, and use that to figure out the missing part. For the first one, we have to match up 12 and 76. We can do this by obtaining the result of 76/12, which is 6 1/3. To match it up, we can multiply 12 by 6 1/3 or divide 76 by 6 1/3. As we want to match up to 76 because the missing number is on the 76 side, we must multiply both 4 and 12 by 6 1/3, resulting in our answer being (25 1/3)/76 for the first one. Similarly, for the second one, we can divide 8 by 2 to get 4. Since the missing number is on the 2 side, we divide the 8 side by 4 to get 15.5/2. Good luck, and feel free to ask if you need help!
10x+5y=25 in standard form
Answers
Answer:
10x=20
Step-by-step explanation:
Solving a word problem using a two-step med
equally
Espaho
Jim wants to rent a boat and spend at most $34. The boat costs $6 per hour, and Jim has a discount coupon for $8 off. What are the possible numbers of hours
Jim could rent the boat?
User for the number of hours.
Write your answer as an inequality solved for t
Answers
Inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less
Solution:
Given that
Maximum amount Jim can spend to rent a boat = $34
Rental cost of boat for 1 hour = $6
Also Jim has a discount coupon for $8 off.
Need to determine possible number of hours Jim could rent a boat.
Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"
Cost of renting boat for 1 hour = 6
So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t
Also Maximum amount Jim can spend to rent a boat = $34
As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44
So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat
=> 6t ≤ 44
On solving above equality for "t" we get ,
[tex]\begin{array}{l}{t \leq \frac{44}{6}} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}[/tex]
Hence inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less.
A student used f(x) = 5.00(1.012)* to show how the balance in a savings
increase over time. What does the 5.00 represent?
A
The interest the savings account earned for the first year
B
The annual interest rate of the savings account
C
The number of years the savings account has earned interest
D
The starting balance of the savings account
Answers
Answer:
D. the starting balance of the savings account
Step-by-step explanation:
Final answer:
The 5.00 in the function f(x) = 5.00(1.012)^x represents the starting balance of the savings account, corresponding to the initial amount of money deposited.
Explanation:
The student used the function f(x) = 5.00(1.012)^x to show how the balance in a savings account increases over time. In this context, the 5.00 represents the starting balance of the savings account. This is because the function for exponential growth in the context of compound interest is typically written as P(1 + r)^t, where P is the principal amount (the initial amount of money), r is the annual interest rate (expressed as a decimal), and t is the time the money is invested for. In the given function, the 5.00 corresponds to P, which confirms that it is indeed the starting balance. Thus, the correct answer is D.
Which of the following number lines represents the solution to
+5 = 7?
- 10
-8
-6
-4
2
0
2
4
6
8
10
- 10
-8
6
4
2
0
2
4
6
8
10
-10
-8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
6 2
4
6
8
10
Answers
Answer:
-8 , 5
Step-by-step explanation:
Which ordered pair is a solution of the equation? X+7y=17
Answer Choices
A. Only (10,1)
B. Only (-4,3)
C. Both (10,1) and (-4,3)
Answers
Answer:
C. Both (10,1) and (-4,3)
Step-by-step explanation:
The equation is x + 7y = 17
Option A: x = 10, y = 1
Now, putting the value in the equation,
L.H.S.,
x + 7y
= 10 + 7*1
= 10 + 7
= 17
Therefore, L.H.S. = R.H.S.
The equation is correct.
Option B: x = -4, y = 3
Now, putting the value in the equation,
L.H.S.,
x + 7y
= -4 + 7*3
= -4 + 21
= 17
Therefore, L.H.S. = R.H.S.
The equation is also correct with this value.
As the option "A" and Option "B" shows the correct value, the answer is both A and B.
Answer:
C.) Both the answers are true
Step-by-step explanation:
Simply plug it in
(10, 1) = 10 + 7(1) = 17
10 + 7 = 17
17 = 17
So A.) is true, but let's check B.)
-4 + 7(3) = 17
-4 + 21 = 17
17 = 17
B.) is also true
what output is 4 more than twice the input 3
Answers
Answer:
10
Step-by-step explanation:
4 more than twice the input 3
more indicates addition, twice indicates multiplication
y = output value
x = input value
y=4+2x
y=4+2(3)
y=4+6
y=10
4 more than twice the input 3 is 10
Final answer:
To find the output that is 4 more than twice the input when the input is 3, we calculate 2(3) + 4, which equals 10.
Explanation:
The output that is 4 more than twice the input when the input is 3 can be found using a simple algebraic expression. If we let x represent the input and y the output, the expression can be written as y = 2x + 4. By substituting the input value of 3 into the equation, we have y = 2(3) + 4, which simplifies to y = 6 + 4, and further simplifies to y = 10. Therefore, the output is 10.
Graph h(x)=-|x+2|+4. Use the ray tool and select two points to graph each ray.
Answers
The graph of the absolute value function can be seen in the image below.
How to graph the absolute value function?
Here we have the absolute value function:
h(x) = -|x + 2| + 4
To graph it we need 3 points, one at the vertex x = -2
h(-2) = -|-2 + 2| + 4 = 4
So the point is (-2, 4)
And other two points at the right and left of x = -2, I will use x = 0 and -4.
h(-4) = -|-4 + 2| + 4 = 2
h(0) = -|0 - 2| + 4 = 2
Then we have the points (0, 2) and (-4, 2)
Now to graph the function just connect the point (-2, 4) with (0, 2) and with (-4, 2) using two rays. The graph can be seen below.
If you want to learn more about absolute value functions:
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4 siblings split their inheritance in the ratio of 2:4:6:8. the inheritance is $40,000. how much does each sibling receive for his share
Answers
Answer:
First Sibling gets $4000
Second Sibling gets $8000
Third Sibling gets $12,000
Fourth Sibling gets $16,000
Step-by-step explanation:
A ratio of 2:4:6:8 means that
First sibling gets 2 parts of total
Second sibling gets 4 parts of total
Third sibling gets 6 parts of total
Fourth sibling gets 8 parts of total
Now, how many parts are there??
2 + 4 + 6 + 8 = 20 parts
Now, we divide the total inheritance ($40,000) in 20 parts, so each part is worth:
40,000/20 = $2000
Hence,
First Sibling gets = 2000 * 2 = $4000
Second Sibling gets = 2000 * 4 = $8000
Third Sibling gets = 2000 * 6 = $12,000
Fourth Sibling gets = 2000 * 8 = $16,000
There was a plate of cookies on the table. Amanda was hungry because she hadn't had breakfast, so she
ate half the cookies. Then Beth came along and noticed the cookies. She thought they looked good, so she
ate a third of what was left on the
plate. Christine came by and decided to take a fourth of the remaining cookies with
her to her next class. Then Daniel came dashing up and took a cookie to munch on.
When Eva looked at the plate, she saw that there were two cookies left. She wondered how many cookies
were on the plate to begin with?
Answers
Answer:
10 2/3
Step-by-step explanation:
So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.
There are between 24 and 40 students in the class
the ratio for boys to girls is 4:7
how many students are in the class
Answers
Answer:
33 students
Step-by-step explanation:
Without any other data to go by, guess and check is the only method we can use. Staying in a 4:7 ratio, only one combination gives a total student number between 24 and 40, with 12 boys and 21 girls.
4 + 7 = 11
8 + 14 = 22
12 + 21 = 33
16 + 28 = 44
Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. How much will she have in the account after 3 years? Round to the nearest dollar.
Answers
Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To find out how much she will have after 3 years, we use the formula for continuous compound interest and find that the total in the account, rounded to the nearest dollar, is $4513.
Explanation:The subject is continuous compound interest, which differs slightly from simple interest. In Mika's case, she placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To calculate the total amount after 3 years, we use the formula A = P * e^(rt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), and t is the time in years.
So A = $4200 * e^(0.023 * 3). When we calculate this, we find that the total in the account, rounded to the nearest dollar, is $4513.
Learn more about Continuous Compound Interest here:https://brainly.com/question/32594953
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b/5 -34<-41 what is B
Answers
Answer:
b<-35
Step-by-step explanation:
b/5-34<-41
b/5<-41+34
b/5<-7
b<-7*5
b<-35
m=-4, passes through the point (5,-3)
Answers
Answer:
y+3=-4(x-5)
Step-by-step explanation:
m=-4
y-(-3)=-4(x-5)
y+3=-4(x-5)
Nathaniel is saving money to buy a new graphics card for his computer that
costs $260.
If he is saving $18 a month and already has $134, in how many
more months will he have enough money for the graphics card?
Answers
Answer:
7 months
Step-by-step explanation:
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
c.
D.
y= 3x - 14
y= 3x - 4
y=3x + 12
Answers
Answer:
A: y = 3x + 4
Step-by-step explanation:
A slope of 3 is given, so the co-efficient of x must be three
If you are going through point (-3, -5), then you must have a starting point.
Adding 3 to the y coordinate for every x value gives us 4.
This means that the equation must be adding 4 to x.
So, the answer is y = 3x + 4, or A.
The question is below. :3
Answers
Answer:
empire: 25/100 or 25% ,
mclntosh : 30/100 or 30%,
fuji : 45%
Step-by-step explanation:
since there are 100 acres in total and 25 acres are farmed with empire,the part-to-whole ratio of empire type apples will be [tex]\frac{25}{100}[/tex]
30% of the total farm is occupied by mclntosh type apples30% of 100 acres = [tex]\frac{30}{100} *100=30 acres[/tex]
the remaining acres are 100 -( acres occupied by empire type apples) -(acres occupied by fuji type apples)= 100-25-30
=45 acres
therefore, 45 acres will be farmed with fuji applessince there are 100 boxes in the given big square, let the color key for empire be black. now color 25 boxes with black.let the color key for mclntosh be red. color 30 uncolored boxes with red.let the color key for fuji be green. color the remaining 45 boxes with green.Segment DF bisects angle EDG.
Enter the value of x.
The diagram is not to scale.
Answers
Answer:
[tex]\displaystyle 6 = x[/tex]
Step-by-step explanation:
Since DF is a SEGMENT BISECTOR, you set 15x and 8x + 42 equal to each other:
8x + 42 = 15x
- 8x - 8x
___________
[tex]\displaystyle \frac{42}{7} = \frac{7x}{7} \\ \\ 6 = x[/tex]
I am joyous to assist you anytime.
Seth’s father is thinking of buying his son a six-month pass for $40. With the pass, matinees cost 1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?
Answers
Seth must attend matinees at least 16 times for the six-month pass to be financially beneficial to his father.
Explanation:To determine how many times Seth must attend matinees for the six-month pass to be beneficial economically, we need to calculate the break-even point where the cost of the pass equals the savings from discounted ticket prices. The normal ticket cost for a matinee is $3.50, and with the pass, the cost is reduced to $1.00. Therefore, each time Seth attends a matinee with the pass, he saves $2.50 ($3.50 - $1.00).
Let's denote the number of times Seth needs to attend matinees to benefit from the pass as 'x'. The six-month pass costs $40, So, we need to set up the following equation to find the break-even point: $2.50 × x = $40.
Divide both sides of the equation by $2.50 to solve for 'x':
x = $40 ÷ $2.50
x = 16
Thus, Seth needs to attend matinees at least 16 times to make the purchase of the six-month pass worthwhile for his father.
Find the missing length. The triangles in each pair are similar
Answers
Answer:
The sides of the triangle are proportional so the length of GE=18 cm
Solve the equation 6 = -9 – 6x for x.
A. -5/2
B. -2/5
C. 2/5
D. 5/2
Answers
Answer:
a. -5/2
Step-by-step explanation:
To solve the equation 6 = -9 - 6x for x, add 9 to both sides, then divide by -6, resulting in x = -2.5 or -5/2.
To solve the equation 6 = -9
- 6x for x, you first want to isolate the variable x on one side of the equation. Start by adding 9 to both sides to move the constant term from the right side to the left side:
6 + 9 = -9 + 9 - 6x
15 = -6x
Next, divide both sides by -6 to solve for x:
15 / -6 = (-6x) / -6
x = -15 / 6
When you simplify -15 / 6, you get:
x = -2.5 which is the same as -5/2
Therefore, the solution to the equation is x = -5/2.
A jet travels 550 miles in 5 hours.At this rate, how far could the jet fly in 14 hours? What is the rate of speed of the jet?
Answers
Answer:
The jet travels 1,540 miles in 14 hours going at about 110 mph
Answer:
I think its 1540 miles.
Step-by-step explanation:
r=550/5
You get 110.
110 times 14= 1540.
1540 miles!
I need help for 8 and 9 plz help and thank you
Answers
Answer:
8) 0 + t = t ------- Identity Property of Addition
(2+b) * 0 = 0 ------- Zero Property of Multiplication
9) n * 0 = 0 ------- Zero Property of Multiplication
1m = m --------- Identity Property of Multiplication
Hope this helps
-Amelia
Answer:
8) Identity Property of Addition
9) Zero Property of Multiplication
Need Help with these problems can so,e some explain and give me the answers.
Answers
Answer:
there you go all the answers
how many times does 18 go into 40
Answers
Answer:
2 times
The drawing will help
2. Name a combination of coins that is 130% of the value of a dollar.
I need a simple answer
Answers
Answer:
Step-by-step explanation:
5 quarters, 1 nickel
Answer:
The required combination of coins will be 5 quarters and 1 nickel.
Step-by-step explanation:
The required combination should be such that the resultant will be 130% of 1 dollar or 1.3 dollar.
Now, the value of 1 quarter is $0.25 and the value of 1 nickel is 5 cent or $0.05.
So, the combination of 5 quarters and 1 nickel will be,
[tex]5\times \$0.25+1\times \$ 0.05=\$1.25+\$0.05\\=\$1.30[/tex]
The above value is equal to 130% of a dollar.
Therefore, the required combination of coins will be 5 quarters and 1 nickel.
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are the diagonals congruent justify your answer
Answers
Answer:
Sometimes
Step-by-step explanation:
If the shapes' sides are congruent? Using congurent triangles to prove
What is the percent of decrease from 320 to 32?
A.)10%
B.)90%
c.)100%
D.)288%
Answers
the answer will become 10%
Patty has 20 to spend on gifts for her friends her mother gives her 5 more. If each gift costs 5 how many gifts can she buy
Answers
Answer:
5
Step-by-step explanation:
You have $20, and your mom gives you $5. You have $25 on total. If you divide 25 by 5, you get 5. So the answer is 5.
Answer: you have $20 mom gives you $5 you now have $25 each gift costs $5 25 divided by 5 is 5
Step-by-step explanation: