Answer:
4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities to represent the given situation.
Step-by-step explanation:
Here, let the number of color copies = x
Now, the time taken to print each color copy = 4 minutes
⇒Time taken to print x color copies = x times ( Time taken by each copy)
= 4 (x) = 4x
and let the number gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
⇒Time taken to print y gray scale copy = y times (Time taken by each copy)
= 2 (y) = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies
= 4x + 2y
So, according to the question:
4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)
and x + y ≥ 8 (as minimum number of copies is 8)
hence, the above system is the required system of inequalities to represent the given situation.
I hope this helps.
You deposit $5000 into a savings
account. If you cam a simple
interest rate of 3%, how much
interest will you earn after 5 years
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y=2x+1
y=x-2
one solution; (–3, –5)
infinitely many
no solution
one solution; (–5, –3)
Answer:
y=11-2x x + y =15
4x − y=7 and 2x − y=15 all have one solution
x=12 − 3y 2x + y=7
3x + 9y=24 and -4x=2y + 14 have no solution
you can just put the rest in infinite solutions
Step-by-step explanation:
What is the area of this tile?
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
In parallelogram HIJK, the measure of angle H is 45∘.
Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.
Answer:
The angle diagonal to angle H = 45
The other two angles equal 135
Step-by-step explanation:
A line equals 180. So 45+135 = 180
I'm sorry that I couldn't list names of the angles. I would need a picture. I hope this made since and could help. God bless!
The measure of angle J is 45 degrees and The measure of angle K is also 45 degree. In a parallelogram, opposite angles are congruent, meaning they have the same measure.
Given that angle H measures 45 degrees, we can use this property to find the measures of angles J and K.
Measure of Angle J:
Since angle J is opposite to angle H in parallelogram HIJK, angle J will also measure 45 degrees. This is because opposite angles in a parallelogram are equal.
Measure of Angle K:
Similarly, angle K is opposite to angle I in parallelogram HIJK. Since the opposite angles are congruent, angle K will also have a measure of 45 degrees.
In summary, the measure of angle J in parallelogram HIJK is 45 degrees, and the measure of angle K is also 45 degrees. This is a property of parallelograms where opposite angles are congruent.
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Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.
Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?
y=2,471x−230y is equal to 2 comma 471 x minus 230
y=−230x+2,471y is equal to negative 230 x plus 2 comma 471
y=2,471x+230y is equal to 2 comma 471 x plus 230
y=230x+2,471y is equal to 230 x plus 2 comma 471
Answer:
y= 2,471x - 230y because each day he travels the same average distance of 230 miles
Answer:
230 miles that is the answer
a movie theater can seat 200 people. for one show 85 people are in the theater already. solve the inequality to find how many more people can attend this show
200-85=115 will be the answer.
solve for x
3x/6 + 1 = 7
The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?
Answer:
The store sold 21 T-shirts and 18 pairs of shorts.
Step-by-step explanation:
x = the number of T-shirts sold
y = the number of pairs of shorts sold
x + y = 53
12x + 9y = 570
x = 21 T-shirts
y = 18 shorts
Find the missing value given the points and slope.
(x,1) and(4,6)
m=−5
Answer:
x = 5
Step-by-step explanation:
yeah-ya...... right?
Step-by-step explanation:
the slope is the ratio y change/ x change.
it is -5 here, that means -5/1.
we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).
in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.
so, point 1 is (5, 1).
point 2 is a indicated (4, 6).
solve pls brainliest
Answer:
1 = A 3 = b 4 = c
Step-by-step explanation:
I folded, trust me
Answer:
1 =a 2=d 3=b 4=c
Step-by-step explanation:
On the coordinate plane below, what is the length of AB? A coordinate plane is shown with the following points A at negative 7, 4; B at 8, 4; C at 8, negative 3; D at negative 7, negative 3. All points are connected to create a rectangle. 7 units 8 units 15 units 16 units
Answer:c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If you make an initial deposit of $1000 in an account that yields 5% interest
annually. Find your balance at the end of a year.
Show your work !
SI
$1 000 × 4 % × 10 = $400
CI
($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24
Interest on interest only applies to Compound Interest.
Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24
- BRAINLIEST answerer
The solution is $ 1050
The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the simple interest be represented as S
Now , the initial amount or principal be P = $ 1000
The rate of interest R = 5 %
The time period T = 1 year
So , the simple interest is given by the equation
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest S = ( 1000 x 5 x 1 ) / 100
On simplifying the equation , we get
Simple Interest S = 5000/100
Simple Interest S = $ 50
And , the amount after one year = Principal + Simple Interest
The amount after one year A = $ 1000 + $ 50
The amount after one year A = $ 1050.00
Hence , the amount is $ 1050.00
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match the pairs with equivalent expressions
Answer:
Where is the picture
Step-by-step explanation:
Give us the picture or something like that
What are Multiple Representations
Answer:
Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity
Answer:
Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate different mathematical features of the same object or operation, as well as connections between different properties.
Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.
Answer:
always
Step-by-step explanation:
The terms of a polynomial are _always_ monomials.
A polynomial is a sum of monomials.
Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52
Answer:
C ( 2.8 x 13 = 0.7 x 52)
Step-by-step explanation:
2.8 x 13 = 36.4
0.7 x 52 = 36.4
36.4 = 36.4
Answer:
Answer : 36.4
Step-by-step explanation:
thanks pi sa points uwu
I mode
Simplify the expression.
2(8 + 24) = 23 x 4
X
X
ngles.
How do you simplify this?
Answer:
okay so IM not 100 percent sure but I think its 64 = 92
-3 + r > 4 OR r + 1 < -1
PLEASE HELP
1) - 3 + r > 4
=》r > 4 + 3
=》r > 7
2) r + 1 < -1
=》r < -1 - 1
=》r < -2
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Answer:
[tex]\sf -3 + r > 4[/tex]
[tex]\sf -3+r+3>4+3[/tex]
[tex]\boxed{\sf r>7}[/tex]
_______________
[tex]\sf r + 1 < -1[/tex]
[tex]\sf r+1-1<-1-1[/tex]
[tex]\boxed{\sf r<-2}[/tex]
_______________
Evaluate. 84
A.65,536
B. 4096
C. 512
D.32
PLZZZZZZ HELP and rate my rovlox fit
Answer:
its 32
Step-by-step explanation:
The value of the expression is 55/3.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
84 ÷ 42 x 6 + 18
Using the PEMDAS rule.
84 ÷ 252 + 18
84/252 + 18
1/3 + 18
(1 + 54)/3
= 55/3
Thus,
The value of the expression is 55/3.
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The complete question:
84 ÷ 42 x 6 + 18
Solve the expression.
Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b
Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
Please help! WILL MARK BRAINLIEST
Answer:
50
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
Perimeter = 24p + 17
Step-by-step explanation:
Perimeter = the sum of the sides of the figure.
Perimeter = (7p + 9) + (10p - 1) + (7p + 9)
Perimeter = (7p + 10p + 7p) + (9 - 1 + 9)
Perimeter = 24p + 17
Answer:
24p+17
Step-by-step explanation:
Perimeter of triangle = 2(7p+9)+(10p-1)
= 14p+18+10p-1
= 24p+17
80 POINTS!!! HELP ASAP!!!!
Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x − 3) + 4
A.
The graph of function f is shifted right 3 units and down 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted left 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and up 4 units.
Answer:
its c
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation: shifted right 3 units and up 4 units.
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
4.b.
Answer: See below.
Step-by-step explanation:
For the equation f(x) = 2x3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
f(6) = 12
3.b. f(-11) = 2(-11)
f(-11) = -22
3.c. f(2.75) = 2(2.75)
f(2.75) = 5.5
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
The rest of (3) are solved in the same fasion.h
For the equation f(x)= 5x+50
4.a. f(7) = 5(7)+50
f(7) = 85
4.b. f(-12)
f(-12) = 5*(-12)+50
f(-12) = -60
Continue in the same fashion for these types of problems.
Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?
Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.
Hope I helped:)
answer the three questions pls
The perimeter of the table shown is 16 feet. Write an equation in the form px+q=r to solve for x.
p = 2
q = 6
r = 16
x = 5 feet
Step-by-step explanation:
The perimeter of the rectangle is
In your case,
Width = 3 feet
Length = x feet
So, the perimeter is
Since the perimeter is 16 feet, we have
Hence,
p = 2
q = 6
r = 16
Solve this equation for x:
Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answer:
x=(m)(7)(6) or x=m*7*6
Step-by-step explanation:
a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum
Answer:
Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.
Find n. 36 ÷ n = 4 Need this quick
[tex]\rule{300}{3}[/tex]
[tex]\text{Hi!}[/tex]
To identify which number is "n", we'll need to divide the numbers that we DO know. For instance:
[tex]\text{36}[/tex] ÷ [tex]\text{4}[/tex] = [tex]\text{9}[/tex]
[tex]\boxed{\text{9}}[/tex]
[tex]\rule{300}{3}[/tex]