The maximum number of pages for which the time to print at Jerry's Print Shop is less than at Joe's Print Shop is 14.
Explanation:This question deals with comparing two linear equations [tex]t1 = 45 + 5p[/tex] for Joe's Print Shop and t2 = 30 + 6p for Jerry's Print Shop. To determine the maximum number of pages (p) where Jerry's shop is quicker than Joe's, we need to find the value of p where t2 < t1.
Setting the two equations equal to each other, we get:
[tex]45 + 5p = 30 + 6p,[/tex]
Solving this equation, we find that p = 15.
However, p=15 is when the time at both shops is the same. Since we want the number of pages for which Jerry’s is less than Joe's, we should choose the next value lower, which is p=14.
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To find the average(mean) of a set of numbers, you first find the sum of the numbers and then divide the sum by the number of numbers. What is the average of the numbers ?
Answer:
what are the numbers you wsnt to find? if you don't know then you've answeref your own question with this, well, question..!
A cheetah runs 108 meters in 4 seconds. How far can the cheetah run in 9 seconds?
Answer:
Step-by-step explanation:
It moves 108m in 4sec
Than in 1sec it moves 108/4m= 27m
And in 9sec it will move 27×9m
= 243m
how do I solve 14x+5=105
Answer:7.14
Don’t rely on me I tried. Might be wrong but there’s an app called photo math and it’ll help with equations just like this.
Step-by-step explanation:subtract 5 from 5 and subtract 5 from 105 because you want to get X by itself. There for 14x equals 100. Then divide both by 14. 14 cancels out and you get your answer.
Solve the system of equations.
\begin{aligned} & -10y+9x = -9 \\\\ &10y+5x = -5 \end{aligned}
−10y+9x=−9
10y+5x=−5
Can I get the correct answer for this please.
Answer:
c
Step-by-step explanation:
Answer:
Y i hhad this question before but you need too show the questions as well
Step-by-step explanation:
Triangle A B C is shown. The length of A B is 12, the length of B C is 24, and the length of C A is 12 StartRoot 3 EndRoot What are the angle measures of triangle ABC? m∠A = 30°, m∠B = 60°, m∠C = 90° m∠A = 90°, m∠B = 60°, m∠C = 30° m∠A = 60°, m∠B = 90°, m∠C = 30° m∠A = 90°, m∠B = 30°, m∠C = 60°
Answer:
m∠A = 90°, m∠B = 60°, m∠C = 30°
Step-by-step explanation:
step 1
see the attached figure to better understand the problem
In this problem we have a right triangle, because the Pythagorean Theorem is satisfied
so
[tex]BC^2=AB^2+AC^2[/tex]
[tex]24^2=12^2+(12\sqrt{3}) ^2\\\\576=576[/tex]
therefore
[tex]m\angle A=90^o[/tex]
step 2
Find the measure of angle B
we know that
In the right triangle ABC
[tex]cos(B)=\frac{AB}{BC}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(B)=\frac{12}{24}[/tex]
[tex]m\angle B=cos^{-1}(\frac{12}{24})=60^o[/tex]
step 3
Find the measure of angle C
we know that
[tex]m\angle B+m\angle C=90^o[/tex] ----> by complementary angles
we have
[tex]m\angle B=60^o[/tex]
substitute
[tex]60^o+m\angle C=90^o\\m\angle C=30^o[/tex]
therefore
m∠A = 90°, m∠B = 60°, m∠C = 30°
Answer:
c
Step-by-step explanation:
m∠A = 90°, m∠B = 60°, m∠C = 30°
ON EDG 20
Answer:
c
Step-by-step explanation:
m∠A = 90°, m∠B = 60°, m∠C = 30°
ON EDG 20
Eight less than a number is 18
Answer:
x-8=18
Step-by-step explanation:
A number is our variable, so we will use X. 8 less than a number would be 8-x and that equals 18 so x-8=18.
How much greater is the area of a circle with a radius of 6.2 inches than the area of a square with a side length of 4 inches?
Answer:
7.54 times greater.
Step-by-step explanation:
The square with a side length of 4 inches has a 4×4=16 inches squared area. The area of a cirkel is calculated with the formula \pi×r^2. Using the 6.2 inch radius given, we get \pi×6.2^2=120.76 inches squared. 120.76/16=7.54 times greater.
Final answer:
Calculate the difference in area between a circle and a square given their respective dimensions.
Explanation:
To find the area of a circle with a radius of 6.2 inches:
Calculate the area using the formula A = πr², where r = 6.2 inches.Area of circle = π x (6.2)² = 38.48 square inches.To find the area of a square with a side length of 4 inches:
Calculate the area of the square using the formula A = s², where s = 4 inches.Area of square = 4 x 4 = 16 square inches.Subtract the area of the square from the area of the circle to find the difference:
Difference = 38.48 - 16 = 22.48 square inches.
solve 15x+20-10x-9=25x+8-21x-7
Answer:
X=-10
Step-by-step explanation:
Answer:
Step-by-step explanation:
15x+20-10x-9=25x+8-21x-7
5x + 11 = 4x + 1
Collecting like terms
5x - 4x = 1 - 11
x = -10
George finished 1/4 of a level on his computer games in 1/3 of an hour at this rate. How many hours will it take to complete on level?
Answer:
1 hour 20 minutes
Step-by-step explanation:
It takes twenty minutes to finish a quarter of one level. Which indicates that it would take one hour and twenty minutes to finish said level by simply multiplying twenty by four.
George will complete a level on his computer games in 1 1/3 of the hours.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that he finished 1/4 of a level on his computer games in 1/3 of an hour at this rate.
Let x the number of hours will it take to complete on a level
According to the given question, we can write the ratio would be as:
1/4 of a level : 1/3 of an hour = 1 level : x hour
⇒ (1/4) / (1/3) = 1/x
Apply the cross-multiplication operation,
⇒ x = (1/3) × 4
⇒ x = 4/3
⇒ x = 1 1/3
Therefore, there will be 1 1/3 of the hours it takes to complete a level.
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What is 39.95 as a mixed number
Answer:
39 and 19/20
Step-by-step explanation:
Answer
39 19/20
Step-by-step explanation
39.95/1 x 100/100 = 3995/100
Find the HCF (Highest Common Facror) (if there is)
divide the top and bottom nuber by 5 = 799/20
799/20 simplified = 39 19/20
i hope this helps :)
please give me brainliest i just need 3 more until expert!
x (rooms) y (towels)
5 25
6 30
7 35
9 40
Tim works as a housekeeper at the Woodwind Hotel. The table shows the number of rooms occupied, x, and the number of towels Tim needs to supply, y. What is the unit rate of towels per room?
A. 3
B. 4
C. 5
D. 7
Answer:
Step-by-step explanation:
the answer is 5
The Answer is (5) :D Hope this helps
x\9=15/2 what is the answer
Answer:
x = 132/2 or x = 67 1/2
Step-by-step explanation:
hjdnnenenenenenehehhehehehebeb
The inequality 9 - 4x< 3x - 5 is equivalent to:
A. x> -2
B. x> 2
c. x <2
D.x< -2
Answer:
B
Step-by-step explanation:
move x to one side and numbers on another side.
9+5<3x+4x. --» 14<7x. --»/7--» x>2
Final answer:
The inequality 9 - 4x < 3x - 5 simplifies to x > 2 after collecting like terms and performing basic algebraic operations. Therefore, the correct answer is B. x > 2.
Explanation:
To solve the inequality 9 - 4x < 3x - 5, we need first to collect like terms on one side. This step involves moving all the x terms to one side of the inequality and the constant terms to the other side.
Let's do this now:
Add 4x to each side: 9 - 4x + 4x < 3x - 5 + 4x, which simplifies to 9 < 7x - 5.Next, add 5 to each side: 9 + 5 < 7x - 5 + 5, which simplifies to 14 < 7x.Finally, divide each side by 7: 14/7 < 7x/7, which simplifies to 2 < x.The answer is x > 2, which corresponds to option B.
Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
A)I want to know the distance around the Ferris Wheel. Would I use Circumference or Area?
B)What is the formula needed to solve this problem?Look in your notes!
C)What is the distance traveled in one rotation? Explain how you used the formula to solve the problem.
Answer:
628.32 feet
Step-by-step explanation:
The SkyView Ferris wheel is 200 feet in diameter.
A) The distance around the Ferris wheel would be the Circumference of
the Ferris Wheel.
B) The formula for circumference is given by
circumference = [tex]\pi[/tex] × diameter
C) the distance traveled in one rotation is the length of the circumference
given by circumference = [tex]\pi[/tex] × diameter
∴ circumference = 3.14159 × 200 feet = 628.32 feet.
Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.
Q: what’s the value of t?
a) 2
b) 3
c) 6
d) 8
The value of t = 2. Option a) 2 is the correct answer.
Step-by-step explanation:
Perimeter is the sum of three sides of a triangle.
Given that, the points D and E are midpoints of the sides.
Therefore,
side AB= AD+DB
AB= 3t + 3t = 6t
side BC= BE+EC
BC= 4t + 4t = 8t
side AC= 7t+6
Perimeter of the triangle= sum of (side AB+side BC+side AC)
48 = 6t+8t+7t+6
48 = 21t+6
t= 42/21
t= 2
Can someone please help me this is due in 10 mins
The following circle graph shows how Brad spends his time (excluding sleeping) each week outside of school. Which of the following statements is true about how Brad spends his time?
A.Brad spends more time working than he does on homework.
B.Brad spends about the same amount of time watching videos and reading combined as he does playing the piano and soccer combined.
C.Brad spends about the same amount of time doing homework as he does watching videos.
D.Brad spends about the same amount of time playing piano as he does playing football and soccer combined.
Brad spends about the same amount of time doing homework as he does watching videos. The other statements are not true.
Explanation:The circle graph shows how Brad spends his time outside of school. To determine which statements are true, we need to compare the different activities.
A. To compare working and homework, we can see that Brad spends about ⅔ of his time working and ⅓ of his time on homework. So, A is not true since Brad spends more time on homework than working.
B. To compare watching videos and reading with playing the piano and soccer, we can see that Brad spends about 1/6 of his time on watching videos and reading, and about 3/6 of his time on playing the piano and soccer. So, B is not true since Brad spends more time playing the piano and soccer than watching videos and reading combined.
C. To compare doing homework and watching videos, we can see that Brad spends about ⅓ of his time on both activities. So, C is true since Brad spends about the same amount of time doing homework as he does watching videos.
D. To compare playing piano with playing football and soccer combined, we can see that Brad spends about 1/6 of his time on playing piano, and about 4/6 of his time on playing football and soccer combined. So, D is not true since Brad spends more time playing football and soccer combined than playing piano.
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Answer this question please.
Answer:
see explanation
Step-by-step explanation:
The side of the square = x + 2, thus area is equal to
(x + 2)² ← expand using FOIL
= x² + 4x + 4
Given area = 7 then
x² + 4x + 4 = 7 ( subtract 4 from both sides )
x² + 4x = 3 ← as required
Answer:
the area of the square ABCD = 7
on the other hand, the area of the square ABCD = (2+x)² = x² + 4x + 4
then x² + 4x + 4 = 7
then x² + 4x + 4 = 4 + 3
then x² + 4x = 3
Step-by-step explanation:
Marys watch keeps perfect time and Bills watch loses 4 minutes a day.
Both watches are set at midnight on January 1. How many times a year will they match?
Bill's and Mary's watches will match once a year on a non-leap year and twice a year on a leap year since Bill's watch loses 4 minutes per day. After 360 days, Bill's watch will be exactly 24 hours behind Mary's.
You asked how many times a year Mary's watch (which keeps perfect time) and Bill's watch (which loses 4 minutes a day) would match if they were both set at midnight on January 1. This is a mathematical problem involving the concept of elapsed time.
Since Bill's watch loses 4 minutes per day, after 1 day, there will be a 4-minute difference between the two watches. As this pattern continues, we calculate how many days it will take for Bill's watch to lose an entire 24-hour cycle (1440 minutes) since 1440 minutes divided by 4 minutes/day equals 360 days. Therefore, Bill's watch would match Mary's watch exactly one more time, 361 days after both watches were set, which would be on the next New Year's Eve, just before both watches hit midnight.
However, this scenario would only occur in a non-leap year. During a leap year, Bill's watch would be 4 minutes slow on December 30th instead of on December 31st, so Bill's watch would match Mary's watch two times in a leap year, once on January 1st and again on December 30th. In conclusion, Bill's and Mary's watches match once a year during a non-leap year and twice during a leap year.
mary bought 12 puonds of blueberries to make 5 pies. She divided the blueberries evenly. How many pounds of blueberries were in each pie?
Answer:
2.4 pounds of blueberries for each pie
Step-by-step explanation:
Mary has 12 pounds of blueberries to make 5 pies.
Divide 12 by 5 to see how much pounds of blueberries each pie will have.
There are 2.4 pounds of blueberries for each pie.
The number of pounds of blueberries were in each pie is 2.4
Given that,
mary bought 12 pounds of blueberries to make 5 pies.Based on the above information, the calculation is as follows:
[tex]= 12 \div 5[/tex]
= 2.4
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(05.03)
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)
x y
1 10
2 8
3 6
4 4
Group of answer choices
Initial value: 12, rate of change: -2
Initial value: 8, rate of change: 2
Initial value: 12, rate of change: 2
Initial value 8, rate of change: -2
Answer:
Initial value: 12, rate of change: -2
Step-by-step explanation:
The rate of change is given by change in the y-values over change in x-values.
There is a constant change of -2 in y-values.
There is also a constant change of 1 in the x-values.
The rate of change is -2
The initial value is when x=0,
So we go back one step, and that will give us (0,12)
Therefore the initial value is 12.
Answer:
The answer is A, "Initial value: 12, rate of change: -2."
Step-by-step explanation:
I just completed the test and got it correct.
Evaluate the expression when c=5 and x=-4.
4c-x ALEKS PLEAHSE HELP
To evaluate the expression 4c - x with c=5 and x=-4, substitute the values to get 4*5 - (-4), which simplifies to 20 + 4, resulting in a value of 24.
Explanation:To evaluate the expression 4c-x when c=5 and x=-4, substitute the given values for the variables c and x into the expression.
Step 1: Substitute c = 5 into the expression.
4 × 5 - x
Step 2: Substitute x = -4 into the expression.
4 × 5 - (-4)
Step 3: Carry out the multiplications and additions.
20 - (-4) = 20 + 4
Step 4: Add the numbers.
20 + 4 = 24
Therefore, when c = 5 and x = -4, the value of the expression 4c - x is 24.
The value of the expression 4c-x when c=5 and x=-4 is 24.
To evaluate the expression (4c - x) when (c = 5) and (x = -4), follow these steps:
1. Substitute (c = 5) into the expression: [tex]\(4 \times 5 - x\)[/tex]
2. Substitute (x = -4) into the expression: [tex]\(4 \times 5 - (-4)\)[/tex]
3. Simplify the multiplication: (20 - (-4))
4. Simplify further by changing the double negative to addition: (20 + 4).
5. Add the numbers: (20 + 4 = 24).
Therefore, when (c = 5) and (x = -4), the value of the expression (4c - x) is (24). The process involves substituting values, simplifying, and performing addition to obtain the final result.
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 440 miles on 20 gallons of gas. How far could you drive on 60 gallons o gas? What is the car’s gas mileage?
Answer:
Step-by-step explanation:
20 : 440 = 60:x
Product of means = 440*60
Product of extremes = 20*x
20*x = 440*60
x = 440*60/20 = 440*3
x = 1320 miles
789
Bernie, Eddy and Gery share £450
Bernie gets twice as much as Eddy who gets three times as much as Gery.
Work out how much they each get.
Answer:
Gery will get 45 £,Eddy will get 135 £ and Bernie will get 270 £ of the total share.
Step-by-step explanation:
Given:
Bernie, Eddy and Gery share £450.
Bernie gets twice as much as Eddy.
Eddy gets three times as much as Gery.
So,
Let Gery gets 'x' share of the amount.
Then,
Eddy's share will be '[tex]3x[/tex]'
and
Bernie's share will be [tex]2\times 3x=6x[/tex]
According to the question.
Total share summation of total share = [tex]450[/tex]
⇒ [tex]x+3x+6x=450[/tex]
⇒ [tex]10x=450[/tex]
⇒ [tex]x=\frac{450}{10}=45[/tex]
So Gery's share = 'x' [tex]= 45[/tex]
Eddy's share = [tex]3x=3\times 45=135[/tex]
Bernie's share = [tex]6x=6\times 45=270[/tex]
Gery will get 45 £,Eddy will get 135 £ and Bernie will get 270 £ of the total share.
What quadrant is (15,-12) lie
Answer:
IV/4
Step-by-step explanation:
Go to 15 on the x line and go down 12 and that’s the 4
The number of banks in a country for the years 1935 through 2009 is given by the following function.
81.8x + 12,361 if x < 90
f(x) = 3
where x is the number of years after 1900
- 376.4x + 48,685 if x 290
Complete parts (a) (b)
a) What does this model give as the number of banks in 1970? 1990? 2010?
The number of banks in 1970 is
Answer:
1990
Step-by-step explanation:
The number of banks in 1970 is 18,137, in 1990 is 3, and in 2010 is 7,250.
(a) Since 1970 is 70 years after 1900,
use the function f(x) = 81.8x + 12,361 for the years before 1990 (when x < 90).
f(70) = 81.8 * 70 + 12,361
= 5776 + 12,361
= 18,137
The number of banks in 1970 is 18,137.
(b) Since 1990 is exactly 90 years after 1900,
use the other part of the function f(x) = 3 for the years between 1990 and 2010.
f(90) = 3
The number of banks in 1990 is 3.
(c) Since 2010 is 110 years after 1900, use the function
f(x) = -376.4x + 48,685 for the years after 290 (when x > 290).
f(110) = -376.4 * 110 + 48,685
= -41404 + 48,685
= 7250
The number of banks in 2010 is 7,250.
So, the number of banks are 18,137, 3 and 7,250.
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A circle is cut from a square piece of cloth, as shown: width is 45
How many square inches of cloth would the circle create?
(π = 3.14)
Group of answer choices
1,808.64 in^2
192.00 in^2
1,152.00 in^2
150.72 in^2
The circle will create 1808.64 square inches.
Step-by-step explanation:
Given,
Width of square cloth = 48 inches
This will be the diameter of circle.
Therefore,
Diameter = 48 inches
Radius = [tex]\frac{Diameter}{2}=\frac{48}{2}=24\ inches\\[/tex]
Area of circle = πr²
Area of circle = [tex]3.14*(24)^2[/tex]
Area of circle = 3.14 * 576
Area of circle = 1808.64 square inches
The circle will create 1808.64 square inches.
Keywords: radius, circle
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a system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?
a) (1/3,1)
b) (1/2,0)
c) (1,1)
d) (1/3,0)
Answer:
The answer that gives the best estimate is (1,1)
Step-by-step explanation:
i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y
intercept or [tex]c_{1}[/tex] = -1. Therefore the equation for this line can be written as
y = [tex]m_{1}[/tex] x + [tex]c_{1}[/tex] ⇒ y = [tex]m_{1}[/tex] x - 1 . It can also be seen from this graph that the
line passes through the point (2 , 2). Substituting these values for x and y
respectively we get 2 = 2[tex]m_{1}[/tex] - 1 ∴ [tex]m_{1}[/tex] = [tex]\frac{3}{2}[/tex]. The equation of the first line
can be written as y = [tex]\frac{3}{2}[/tex] x - 1 ⇒ 2y - 3x = -2
ii) As can be seen on the other line the intercept on the y axis is at (0,2). So
the y intercept or [tex]c_{2}[/tex] = 2. Therefore the equation for this line can be
written as y = [tex]m_{2}[/tex]x + [tex]c_{2}[/tex] ⇒ y = [tex]m_{2}[/tex] x + 2 . It can also be seen from this
graph that the line passes through the point (1 , -1). Substituting these
values for x and y respectively we get 1 = 1[tex]m_{2}[/tex] + 2 ∴ [tex]m_{2}[/tex] = -1 . The
equation of the second line can be written as y = - x + 2 or x + y = 2
iii) Solving the two equations of the two lines respectively as found in i) and
ii) we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and
when we add this to equation in i) we get 5y = 4 which means that y = 0.8.
If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.
iv) Therefore we get the solution of the two lines, which is the intersection
of the two lines as (1.2, 0.8). So the answer that gives the best estimate
is (1,1)
Answer:
Correct answer is: B: (1/2, 0)
Step-by-step explanation:
Just took the test and that is the correct answer. Picture w/ correct answer attached.
NEED HELP PLEASE AND THANK YOu !
Answer:
3
Step-by-step explanation:
we know there is 18 total. so we subtract the other numbers from 18.
18-5=13
13-10=3
hope this helps!