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.
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
12<=x-7. add 7 to both sides.
x>=19
divide. write your answer in simplest terms. 3/4 divided by 1 1/5
Answer:
1 13/20
Step-by-step explanation:
3/4 divide by 5/11
=3/4 times 11/5
=33/20
Convert
=1 13/20
Write the unit fraction depicted in the model as a percent.
One-fourth =
Answer:
Step-by-step explanation:
= 1/4*100
= 1*25
= 25%
• Answer is 25%.
Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4
Answer:
b
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths of a right-angled triangle :
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".
so, we have here
c² = 1² + 2² = 1 + 4 = 5
c = sqrt(5) = 2.236067977...
so, answer option c is too big (values bigger than 3).
answer options d and e are too small (values smaller than 2).
a
9/4 = 2.25
10/4 = 2.5
this is also too big .
that leaves us with b
17/8 = 2.125
18/8 = 9/4 = 2.25
that is correct
-----------------------------------------------------------
Standard form / Slope intercept form
_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------
Answer:
1.) y=3x-7
2.) 2=5x-y
3.) y=-4-2x
4.) 1=3/4x+y
5.) y=4x+8
6.) 9=3/4x+8
7.) 9=y+x
8.) y=-2/6x+2
9.) 5=-2/3x+y
Step-by-step explanation:
Standard form is Ax=By=C and Slope form is y-mx+b
for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:
3x-y=7
+7 -7
3x-7=y
then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8
The product of six minus a number and five equals 60÷2 which equation relates the sentence
Answer:
Step-by-step explanation:
Simplify the following expression.
5/6 x 3/5
Answer:
1/2
Step-by-step explanation:
5/6 • 3/5
15/30 = 1/2
Answer:
1/2
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
5 × 3/ 6 × 5 = 15/30
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using
GCF(15,30) = 15
15 ÷ 15/30 ÷ 15 = 1/2
Therefore:
5/6 × 3/5 = 1/2
Solve the equation. Enter your answer in the box. V27
what is 29,032 to the nearest thousands
Answer:
29,000
Step-by-step explanation:
Answer:
30,000 i believe
Step-by-step explanation:
if that isnt the right answer then its just 29,000
Please help if it's right I'll give brainliest
Answer:
Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70
so angle BXC is 70 degrees.
The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
solve the Simultaneous equations : x+y=5; x-y=1
Answer:
x=3 and y=2
Step-by-step explanation:
These equations line up quite nicely, so let's use the elimination method.
x+y=5
+ x-y=1
-------------
2x=6.
Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides
x=3.
Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.
3+y=5.
We subtract 3 from both sides to get y=2.
We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.
Have a nice day :)
Use the transitive property of equality to finish the equations
Answer:
since 4y=12 and 4y=2x then 4y=12=2x or 12=2x
help me please (show work)
Answer: A, B, C, and D have the same volumes: 100 units^3
Step-by-step explanation:
The details are attached. Use the volume formula for the respective shapes. Bear in mind that B is he area of the base (I assume). It is the
[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).
How to divide with decimals and fractions.
Answer:
Dividing Decimals
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
If the Diameter is 10 of a circle then what is the radius.
Answer:
5
Reasoning
[tex]Diameter=2*radius[/tex]
Answer:
5
Step-by-step explanation:
the radius is always half of the diameter
Find the slope of the line that passes through the point (-3,20), (12,15)
Please help!! will mark branliest
6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)
(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=
(b) How high will the ball bounce on the 8th bounce?
h=
(c) How many bounces before the ball rises no higher than an inch?
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]
b. After 8 bounces we can apply the previous formula with n = 8 to get
[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.
[tex](\frac{17}{20})^n<\frac1{72}[/tex] Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
How to do multiplication large numbers.
Answer:
The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:
Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:
When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:
This 0 acts as a placeholder so that this row is aligned properly.
When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit
find the slope of the line that passes through the following points a(4, -14) b(6, 18)
Answer:
Slope=16
Step-by-step explanation:
Someone help me with this questions pleaseee
Answer:
i think its b, 4cm
Step-by-step explanation:
2 1/4 x 3 2/5
show all your work
Answer:
153/20
Step-by-step explanation:
I assume you're asking
[tex]2 \frac{1}{4} \times 3 \frac{2}{5} [/tex]
So
[tex] \frac{9}{4} \times \frac{17}{5} [/tex]
=
[tex] \frac{153}{20} [/tex]
2. Draw 3 different polygons that have only 2 lines of symmetry
Answer:
Hello. The answer is : rectangle, rhombus
I cant think of a third one as yet.
The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?
The distance from Jason's house to school is
meters.
Answer:
900 meters
In 0.9 move the decimal two times to the right
That makes it 900 meters
If Rick buys a remote control car for $33.00, what is his selling price?
Answer:
a
Step-by-step explanation:
Put these in least to greatest
1/3,-3,3,0
Answer:
-3 , 0 , 1/3 , 3
Step-by-step explanation:
1/3= 0.3333
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.
A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.
B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.
Using an exponential function, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) Her predicted profit is of $62,368.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate.Item a:
$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
Her predicted profit is of $62,368.
For more on exponential functions, you can check https://brainly.com/question/25537936
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
Find m<1 and m<2
Help
Answer:
m<1 = 45
m<2 = 135
Step-by-step explanation:
135 is across from the 135 making m1 135 and 135 plus 45 equals 180, 180 is the total for the line the other 2 angles are on.
