The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20
Answers
Answer:
The value of x lies between 20 and 40 and value of y lies between -20 and 10
Step-by-step explanation:
We are given that
[tex]y\leq 40-x[/tex]....(1)
[tex]y\leq x-20[/tex]...(2)
First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.
Therefore, we can write as
[tex]y=-x+40[/tex]...(3)
[tex]y=x-20[/tex]...(4)
Adding equation (3) and (4) we get
[tex]2y=20[/tex]
[tex]y=10[/tex]
Substitute y=10 in equation (3) we get
[tex]10=40-x[/tex]
[tex]x=40-10=30[/tex]
(30,10) is the intersect point of two equation.
Put x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 in equation (4)
[tex]y=-20[/tex]
Substitute y=0 in equation (4)
[tex]x=20[/tex]
Substitute x=0 and y=40 and in equation (1)
[tex]40\leq 40[/tex]
Hence, the equation is true.Therefore, the shaded region below the line.
Substitute x=0 and y=-20 in equation (2)
[tex]-20\leq -20[/tex]
The equation is true. Hence, the shaded region is below the line.
Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.
Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.
Step-by-step explanation:
Related Questions
Write the ratio in simplest form.
The ratio of green beads to blue beads is ???
Answers
3:6 but if u simplify it it will become
1:2
You were in the car with a family member. You started with 7/10 of a tank of gas, and when you got home you had ⅓. How much gas did you use?
Answers
9514 1404 393
Answer:
11/30 of a tank
Step-by-step explanation:
The amount used is the difference between the starting amount and the ending amount:
7/10 -1/3 = 21/30 -10/30 = 11/30 . . . . of the tank
PLEASE HELP!!
what will happen to the graph of the line y= 3/4x -7 if you change 3/4 to -3/4?
a) the line will intersect
b) the slope of the line will change from positive to negative
c) (4,-4) will become a point on the line
d) the y-intercept will change from negative to positive
Answers
Answer:
B choice
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.
Answer: b) the slope of the line will change from positive to negative
PLEASE HELP ME NOT THAT HARD I THINK
For one test, Benny got 12 questions wrong. His score was a 60%. In total, how many questions were on his test? Round your answer to the nearest whole number if necessary.
Answers
Answer: answer is 20 questions total
Step-by-step explanation:
12 Wrong, and 8 right. 60%
x-12/x = 60/100
100x - 1200 = 60x
40x = 1200
x = 30
30 questions
Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step
Answers
Answer:
5,040 jumps
Step-by-step explanation:
Let's figure out the number of jumps per hour
42 steps/minute * 60 minutes/hour = 2,520 jumps/hour
Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.
2,520 jumps/hour * 2 hours = 5,040 jumps
Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar
A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.
B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.
C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6
Answers
Answer:
Step-by-step explanation:
D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ,
(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)
Answer:
the answer is D
hope this helpful
Decrease £280 by 15%
Answers
Answer:
238
Step-by-step explanation:
280 times 0.85 = 238
Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit $80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?
Answers
Answer: 8 weeks
Step-by-step explanation:
He originally had $315 in his account. This figure increased to $955. It therefore increased by:
= 955 - 315
= $640
If he deposited $80 every week, the number of weeks it would take to deposit $640 is:
= 640/80
= 8 weeks
Which set of ordered pairs contains only points that
are on the graph y = 15 – 2x?
A {(-3, 18), (0, 15), (6, 9)}
B
{(-5, 10), (-3, 6), (5, -10)}
С
{(-5, 25), (-1, 17), (8, -1)}
D {(-7, 1), (-4, 7), (2, 19)}
Answers
Answer:
a
Step-by-step explanation:
a
Please mark me BRAINLEST.
Help needed. Will mark brainliest. Please help:c
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost of owning and operating a printer :
Purchase Cost = $100
Printing per per page = $0.05
Thus, owning and operating cost :
Purchase cost + (Printing per page * number of pages)
Number of pages = p
100 + 0.05p
Service cost :
Amount per page = 0.25
Total revenue = cost per page * number of pages
Total revenue from service =. 0.25p
The equation :
100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue
It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.
100 + 0.05p = 0.25p
100 =0.25p - 0.05p
100 = 0.20p
p = 100/0.2
p = 500
When number of pages equals 500; the owning and operating cost is equal to the revenue made.
Solve for X
[tex]lnx^{2} =-2[/tex]
please show steps
I have the answer,
I just want to know how to do this :)
Answers
Answer:
[tex]x = \pm e^{-1}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving quadraticsMultiple rootsAlgebra II
LogarithmsEuler's number eStep-by-step explanation:
Step 1: Define
[tex]\displaystyle ln(x^2) = -2[/tex]
Step 2: Solve for x
Raise both sides by e: [tex]e^{\displaystyle ln(x^2)} = e^{-2}[/tex]Simplify equation: [tex]x^2 = e^{-2}[/tex]Square root both sides: [tex]x = \pm e^{-1}[/tex]Answer:
Step-by-step explanation:
lnx^n=nlnx
[tex]\ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}[/tex]
Please help me I need it!!!!
Answers
Answer:
d
Step-by-step explanation:
because it starts off under the water which is -24 then you add a positive 24 to get to sea level
Answer:
the distance above sea level after increasing 24 meters from a depth of 24 meters below sea level
Step-by-step explanation:
equation- -24m + 24m = 0
the answer to the first one is -10 (-5 - 5 - -10)
the answer to the second one is 1,000 (0 + 1,000 = 1,000)
the answer to the third one is 10 ( 20 - 10 = 10)
the answer to the fourth one is 0 (-24 + 24 = 0)
how did you solve 60 times 400
Answers
Answer:
24000
Step-by-step explanation:
You just multiply 60 times 400
=24000
Answer:
24,000
Step-by-step explanation:
trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000
Pls help it due ASAP
And show workings!
Answers
Answer:
D. about 40 miles
Step-by-step explanation:
In order to answer the question, you first need to find how many units on the graph Seaside is from Oceanfront - or how long the line between the two points is.
To do this, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Use the points of Seaside (by looking on the graph, you can see it's (-2,4)) and Oceanfront (also by looking, you can see it's (3, -2)) for the formula:
[tex]d = \sqrt{((-2)-(3))^2+((4)-(-2))^2\\[/tex]
[tex]d = \sqrt{(-2-3)^2+(4+2)^2}[/tex]
[tex]d = \sqrt{((-5)^2+(6)^2\\[/tex]
[tex]d = \sqrt{25 + 36} \\d = \sqrt{61}[/tex]
[tex]\sqrt{61}[/tex] units is about 7.8 units (you can also tell because it's in between [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex], which equal 7 and 8). Multiply that by 5 (since each unit on the graph represents 5 miles) and the answer is about 40. So, the answer is D.
Jada and Alexandra sell spices at the marketplace. They each charge a constant price per kilogram of spices.
Jada has weekly expenses of \$200$200dollar sign, 200. She covers her expenses and makes a profit of \$280$280dollar sign, 280 for selling 808080 kilograms of spices.
The graph of Alexandra's weekly profit (in dollars) as a function of the amount of spices sold (in kilograms) is shown below.
Who has greater weekly expenses?
Answers
Answer:
Alexandram has greater weekly expenses
They charge the same price
Step-by-step explanation:
I got this answer for khan academy!
Answer:
Alexandram
They charge the same price
Step-by-step explanation:
2 divided by 5/12= what
Answers
How many 5/6 are in 2/3
Answers
Answer:
The amount is 4/5 of 5/6 is in 2/3.
Step-by-step explanation:
There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example 4/2 = 2
We have to determine how many 5/6 are in the fraction 2/3.
The numbers are given in the question below
2/3 and 5/6
According to the given question, the required solution would be as:
⇒ 2/3 ÷ 5/6
⇒ (2/3) / (5/6)
Reciprocal the terms of the numerator in the above expression
⇒ (2/3) × (6/5)
Apply the multiplication operation,
⇒ 12 / 15
Reduce the fraction in the simplest form,
⇒ 4/5
Therefore, there 4/5 is 5/6 in the fraction 2/3.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ2
the difference of 18 and m is equal to the product of m and 7
Answers
Answer:
M = 11/2
Step-by-step explanation:
first set up the problem
18-m = m+7
subtract m to both sides
18 -2m = 7
then subtract 18
-2m = -11
divide by negative 2
m = 11/2
Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?
Answers
Answer:
This is dependent because it depends what sock she picked out first. It would be independent if she put the pulled out sock back into the container
Generate two equivalent fractions for each fraction. Use fraction tiles or number lines.
1
-
3
Answers
A store is having a going-out-of-business sale. A television set that originally cost $2,000 has been marked down by 25%. What do you pay for the television set w
Answers
Answer:
$1500
Step-by-step explanation:
If the television is marked down by 25%, it means that the price was reduced by 25%. This means that the television would be 100% - 25% = 75% of the original price.
The price of the television following the mark down=
0.75 x $2,000 = $1500
Select the correct answer.
Simplify.
Answers
Answer:
is it m-9?Step-by-step explanation:
Answer:
its 1 /d
Step-by-step explanation:
6*3 is 18,
so its m^18 / m^18
which is 1
Have a good day!!!
simplify 2x+1-2x/2x+1
Answers
Answer:
1 = 2+ 348/46 (56+35)
Step-by-step explanation:
y = -2x + 11
What is the slope of the equation?
A) -11
B) -2
C) 9
D) 11
Answers
Answer:
-2
Step-by-step explanation:
you must follow the y=mx+b
m=slope
b=intercept
Answer:
B) -2
Step-by-step explanation:
y= -2x+11 is in slope-intercept form
y= mx+b
y= y-coordinate
x= x-coordinate
m= slope
b= y-intercept
m= -2
The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table, than its value on the graph, when x = 11?
Group of answer choices
110
170
385
495
Answers
Answer:
[tex]\displaystyle 385[/tex]
Step-by-step explanation:
The rate of change [slope] of the graph is 35, and for every two blocks you horisontally move represents seventy blocks vertical-wise, therefore an ELEVENTH block would require you to split 70 in half, giving you 35, then add this to 350 to get 385.
I am joyous to assist you at any time.
Answer:
The answer is Option B.) 385
Step-by-step explanation:
The pace of progress of the chart is 35, and for each two squares you horizontally move addresses seventy squares vertical-wise, thusly an 11 square would expect you to part 70 fifty-fifty, giving you 35, then, at that point, add this to 350 to get 385 as a result.
If interest is compounded semi-annually, which expression
represents the account balance in t years?
Answers
Answer:
The equation to represent the account balance in t years
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]
Step-by-step explanation:
Given the compound interest equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
here
A represents Accrued Amount (principal + interest)
P represents Principal Amount
I represent Interest Amount
r represents the Annual interest rate
t represents Time Involved in years
n represents the number of compounding periods per unit t
As we are given that the interest is compounded semi-annually
i.e. n = 2
so substituting n = 2 in the equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex] ∵ n = 2
Thus, the equation to represent the account balance in t years
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]
Help me with this problem? GIVING BRAINLIEST!!
Answers
A. 18 ft in 20 minutes
B. 90 feet in 150 minutes
C. 60 feet in 90 minutes
D. 11 feet in 15 minutes
18/20 = .9
90/150 = .6
60/90 = 2/3
11/15 = 7.33333
A is the fastest
Answer:
Speed = Distance/time in km/h
a) 18 feet in 20 minutes
0.0054864 km/0.333333hours
=0.01645921645 km/h
b) 90 feet in 2.5 hours
0.027432km/2.5
=0.0109728 km/h
c) 20 yards in 1.5 hours
0.018288km/1.5
=0.012192 km/h
d) 3 2/3 yards in 15 minutes
0.003352800000003048km/0.25hours
=0.0134112
So I think its safe to say that A is the fastest in comparison
Can someone help me with this question Please.
Solve for the slope, x- and y-intercepts given the equation below.
7x + 2y = -10
x-intercept:
y-intercept:
Slope:
Answers
Y intercept: (0, -5)
Slope: -7/2
7x+2y=-10
2y=-10-7x
Y=(-7x-10)/2
The slope is the coefficient of x right now, so the slope is -7/2.
The x-intercept’s y is always 0, so we plug that into the equation as y=0.
7x+2y=-10
7x+2(0)=-10
7x+0=-10
X=-10/7
Therefore, the x-intercept is (-10/7,0).
Now, you do the same thing for the y-intercept where x=0 to find your y-intercept.
Hope that made sense!
WILL MARK BRAINLIEST !!!! Which equation is an equation of a circle with a radius of 3 and its center is at (5, -2)?
(x - 5)² + (y + 2)² = 3
(x - 5)² + (y + 2)² = 9
(x + 5)² + (y – 2)² = 3
(x + 5)² + (y - 2)² = 9
Answers
Answer:
the first one
Step-by-step explanation:
Answer:
(x + 5)² + (y – 2)² = 3
Step-by-step explanation:
28 divided by 5 gvbhcjdxksalskdfjghnvjckfkckkvkvjv
Answers
Answer:
5.6
Step-by-step explanation:
HAve a nice day!