Answer:
40
Step-by-step explanation:
6:4 = 1,5 which means he grades 1 paper per 1,5 minute. 60:1,5 = 40 papers
1 The figure shows a rectangle inscribed in a circle.
Determine the area of the shaded region. Use 3.14
for and round to the nearest tenth.
Answer:
46.8 cm²
Step-by-step explanation:
The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).
The area of the rectangle is \((6)(10)=60\) cm².
Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.
I need your help please
Answer:
9.) A= 23mm².
P= 20mm.
T= PARALLELOGRAM.
Step-by-step explanation:
9.) A=(5+5) × 1/2 × 4.6
= (10) × 1/2 × 4.6
= 5mm× 4.6 mm
= 23mm².
P=(5+5+5+5)
= 20mm.
T= PARALLELOGRAM.
What is the slope of 2,000=20×+10y?
Answer:
there is no possible slope for this equation. if it asks for a number it is 0
Step-by-step explanation:
14 numbers are written in a row so that the sum of any three consecutive numbers is 19, and that the sum of all the numbers is 77. Find the 9th number.
Step-by-step explanation:
The series of numbers that meets the
requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
How to check that the series meets the requirements?
To verify that the series meets the requirements, we must establish what the requirements are:
●Every 3 consecutive numbers must add up to 19.
●In total there must be 14 numbers.
●The total sum of all the numbers must be 77
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
5 + 6 + 8 = 19
9 + 4 + 6 = 19
7 + 3 + 9 = 19
2 + 8 + 9 = 19
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
the sum of the outer angles is half the sum of inner angles. how many sides does it have?
.............................
plzz help me .....
Answer:
The sum of the outer angles of polygon is twice the sum of the inner angles. (i) How many sides does it have? (ii) What if the sum of outer angles
Josie and her brothers and sisters measured their heights and found the mean averageThe mean was 150cmJosie forgot her height. Can you work out Josie's height? 150cm, 170cm, 140cm, 155cm
Answer:
135 cm
Step-by-step explanation:
Let Jose's height = x
The mean of their heights = 150
Given the Heights:
150cm, 170cm, 140cm, 155cm
The mean is the sum if the heights divided by the number of people
Here :
(150 + 170 + 140 + 155 + x) / 5 = 150
(615 + x) / 5 = 150
615 + x = 750
x = 750 - 615
x = 135 cm
Help plz:)))I’ll mark u Brainliest !!!!
Answer: x=11
Step-by-step explanation: plz mark me brainliest
Answer:
I believe its x = 11 hope for le its right
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
\(X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)\)
Consider (ii)
\(Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500\)
Multiply 10 on both sides , we get
\(10Y-X=265000 (iii)\)
Add (i) and (iii)
\(10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125\)
Put this in (i)
\(X= 33500+0.2(373125) =108125\)
Hence, X= 108125 and Y = 373125.
Please answer this question.
Answer:
Step-by-step explanation:
\(1c-0.25c=0.75c\)
determine the slope of a line that is parrallel to the equation 3x + 6y =18
\(\Large\maltese\underline{\textsf{A. What is Asked}}\)
Determine the slope of a line that is parallel to the equation \(\bf{3x+6y=18}\).
\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)
First we should divide the whole equation by 6,
\(\bf{\dfrac{3}{6}x+\dfrac{6}{6}y=\dfrac{18}{6}}\) | simplify
\(\bf{\dfrac{1}{2}x+y=3}\) | subtract 1/2 x
\(\bf{y=-\dfrac{1}{2}x+3\)
\(\rule{300}{1.7}\)
\(\bf{Result:}\)
\(\bf{=Slope-\dfrac{1}{2}\)
\(\boxed{\bf{aesthetic\not101}}\)
Peter compared dog food prices, to find the better deal. The 25-pound
ag cost $30.00, and the 15-pound bag cost $17.85. Which pound bag is
me better deal?
Answer:
25 pound bag is the better deal
Step-by-step explanation:
NEED HELP ASAP
MATH !
Answer:
C
Step-by-step explanation:
the scale from QRP to FGH is 2x, since we go vice versa, divide the same side on the other triangle by 2
To find the scale, I saw that the 5cm went to 10. (please give brainliest if this helps!)
Answer:
C.7cm
Step-by-step explanation:
...............
Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
Albert's Cafe uses 5 bags of coffee every day. How many days will 5/8 of a bag of coffee last?
Answer:
1 day.
Step-by-step explanation:
Given:
Albert's cafe uses 5 bags of coffee every day.
Required:
How many days will 5/8 bag of coffee last?
'How many days will 5/8 bag of coffee last?'
In this sentence we can see that there are 8 bags of coffee. The question in other words is Albert's Cafe is using 5 bags of coffee out of the 8 bags of coffee, and how many days will these last.
In the given we can see that the Cafe uses 5 bags of coffee per day, so the answer is 1 day.
Hope this helps ;) ❤❤❤
what is the mathematical expression of “the sum of a number x and three”
Answer: X + 3
Step-by-step explanation:
Sum hints as to an addition statement and it specifies a variable X and the number 3 so the expression would be X + 3.
SUM MEANS ADDITION
HERE IT MEANS THE ADDITION OF x and 3
written as
\(x + 3\)
HOPE THIS HELPS
Find a polynomial P3 such that {po, P1, P2, P3} (see Ex- ercise 11) is an orthogonal basis for the subspace P3 of P4. Scale the polynomial p3 so that its vector of values is (-1,2,0, -2,1).
The equation of the polynomial P3 is p3(t) = 5/6t³− 17/6t
Equation:
In algebra, an equation consists of variable, number and constants.
Given,
Here we need to find the polynomial P3 such that {P0, P1, P2, P3} is an orthogonal basis for the subspace P3 of P4.
And the scale the polynomial p3 so that its vector of values is (-1,2,0, -2,1).
Here we know that the polynomial (before the scaling) p3 is just the difference between t³ and its orthogonal projection on the span of 1,t,t²−2.
Then we showed that the projection is , hence
p3(t) = t³− 17/5t
When here we have the scale this polynomial such that the vector of values at t=−2,−1,0,1,2 is (−1,2,0,−2,1).
Now, we need to find the scalar α, it can be written as,
=> α⋅p3(−2)=−1
=> α⋅p3(−1)=2
=> α⋅p3(0)=0
=> α⋅p3(1)=−2
=> α⋅p3(2)=1
Here from the 4-th equation we have the value of
=> α⋅(1- 17/5) = -2
=> α = 5/6
And it is easy to check that all the equations are satisfied with this α.
Therefore, the required polynomial p3 is
=> p3(t) = 5/6(t³− 17/5t)
=> p3(t) = 5/6t³− 17/6t
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Two ships A and B take off at the same time from the same spot at a harbour. Ship A travels west with a speed of 40 km/h, while ship B travels north at a speed of 50 km/h. Determine, to the nearest integer, how fast the distance between the ships is increasing when they are 0.5 hours away from the harbour. Use the units as given in the question but write down only the numerical value of your answer without the unit.
Using the Pythagorean Theorem and implicit differentiation, it is found that the distance between them is increasing at a rate of 2050 km/h when they are 0.5 hours away from the harbor.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, according to the following equation:
\(h^2 = l_1^2 + l_2^2\)
For this problem, we have that since the ships are moving west and north, the distance between them as a function of the time will be given by the hypotenuse of a right triangle, as follows:
d² = x² + y².
In which;
x is the position of Ship A(moving horizontally).y is the position of Ship B(moving vertically).Applying implicit differentiation, the rate of change of the position is given as follows:
\(2\frac{dd}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}\)
\(\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}\)
From the velocities, we have that:
\(\frac{dx}{dt} = 40, \frac{dy}{dt} = 50\)
From the velocities, and the time of half an hour, the positions are given as follows:
x = 0.5 x 40 = 20, y = 0.5 x 50 = 25.
Hence:
\(\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}\)
\(\frac{dd}{dt} = 20(40) + 25(50)\)
dd/dt = 2050.
The distance between them is increasing at a rate of 2050 km/h when they are 0.5 hours away from the harbor.
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a bag contains four types of coins. The probability of drawing a penny, nickel and dime is shown below. What is the probability of drawing a single coin that has a value of at least $.10?
Using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific occurrence will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Simply put, probability is the likelihood that something will occur.
When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.
So, we have the chart:
Penny = 2/5 = 0.4
Nickel = 1/5 = 0.2
Dime = 1/4 = 0.25
Then, the probability of getting a value of at least $0.10
P(E) = 3/3
P(E) = 1
Therefore, using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
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-
Using the GCF factor the given expression 4m - 20
4(m - 5)
2(2m - 10)
4m - 20)
2(2m - 20)
Hey there!
Finding something that’s equivalent to: 4m - 20
Option A.
4(m - 5)
= 4(m) + 4(-5)
= 4m - 20
Possibly Option A. is your answer.
Option B.
2(2m - 10)
= 2(2m) + 2(-10)
= 4m - 20
Possibly Option B. could be your answer
Option C.
4(m - 20)
= 4(m) + 4(-20)
= 4m - 80
Optipn C. isn’t your answer
Option D.
2(2m - 20)
= 2(2m) + 2(-20)
= 4m - 40
Option D. also isn’t your answer just like Option C.
FACTORS OF: 4m - 20
4: 1,2,4, & m
20: 1,2,4,5,10,& 20
LIKE TERMS: 1,2,4
GCF: 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A desk contributes $400 to profit, and a chair contributes $250. Marketing restrictions require that the number of chairs produced be at least twice the number of desks produced. There are 2000 units of wood available.
1. High level model is setup for you to plug in and solve.
2. If you want to practice creating the model, you don't need to use the model setup in the second tab.
3. Use Solver to maximize the company’s profit. Make sure to name the cells properly to get full credit.
4. Use $ format for cells like cost, profit etc. Fill the information for objective function & constraints.
Step-by-step explanation:
Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.
the problem is to maximize profit.
let desk be x
and chairs be y
400x+250y=P (maximize)
4x+3y<2000 (constraints)
according to restrictions y=2x
let us substitute y=2x in the constraints we have
4x+3(2x)<2000
4x+6x<2000
10x<2000
x<200
so with restriction, if the desk is 200 then chairs should be at least 2 times the desk
y=2x
y=200*2
y=400
we now have to substitute x=200 and y=400 in the expression for profit maximization we have
400x+250y=P (maximize)
80000+100000=P
180000=P
P=$180,000
the profit is $180,000
This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
find perimeter and area of each triangle round to nearest hundredth
Given is a right angled triangle. Consider the figure,
Using the trignoetric funcyion tan, we have,
\(\begin{gathered} \tan 18=\frac{a}{12} \\ a=12\times\tan 18=3.89 \end{gathered}\)Now, as we have base, a = 3.89 and height c = 12, the perimeter can be calcualted as,
\(\begin{gathered} P=a+c+\sqrt[]{a^2+c^2} \\ \text{ =3.89+12+}\sqrt[]{3.89^2+12^2}=28.5=29 \end{gathered}\)Now, the area can be calculated as,
\(\begin{gathered} A=\frac{1}{2}ac \\ \text{ =1/2}\times3.89\times12=23.34=23 \end{gathered}\)Scale is 1cm=8km
Hatboro and Smithville are 24cm apart on the map. What is the actual distance between the 2 cities
Answer:
192 km
Step-by-step explanation:
the same ratios apply to the situation
if 1 cm is 8 km, 24 cm could be calculated using ratios
1/8 = 24/x
Is the following graph a logarithmic or exponential function?
Answer: Logarithmic function
Step-by-step explanation: y=logax and it's a reflection of an exponential curve that curves up and a logarithmic function curves down.
Analyze the graph of the function f(x) to complete the statement. On a coordinate plane, a curved line, labeled f of x, with a minimum value of (0, negative 3) and a maximum value of (negative 2.4, 17), crosses the x-axis at (negative 3, 0), (negative 1.1, 0), and (0.9, 0), and crosses the y-axis at (0, negative 3). f(x)<0 over and what other interval?
The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
We have,
The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.
Therefore, we can say that:
f(x) < 0 for x < -3 and -1.1 < x < 0.9
And,
The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).
This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:
f(x) > 0 for x > -2.4
Now,
Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).
So,
The interval where f(x) is negative and greater than 0 is:
(-∞, -3) U (-1.1, 0)
Thus,
The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)
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Need Help!...anyone!
(a)
\( \sqrt[5]{ {x}^{3} } \)
(b)
\( \sqrt[8]{x} \)
(c)
\( \sqrt[3]{ {x}^{5} } \)
(d)
\( \sqrt{ {x}^{3} } \)
A store sells previously viewed movies. The table shows the cost of buying 1, 2, 3, or 4 movies.
a. Which mapping diagram represents the data in the table
Question 2
b. Is the relation a function? Explain.
Each input has exactly one output. Therefore, the relation is a function.
Question 3
c. Describe the pattern. How does the cost per movie change as you buy more movies?
The pattern is that for each input
increase
of
1
, the output
increases
by $1,2,3,4,6,12
less than the previous increase. For each additional movie you buy, your cost per movie
decreases
by $1,2,3,4,6,12
how much did the output increase in dollars and how much did the movie decrease
A relation may or may not represent a function.
The relation of the movie and its costs is a function.The pattern is that, as unit cost of each movie decreases as the number of movies increases.The costs are given as:
1 movie costs $102 movies cost $183 movies cost $244 movies cost $28(a) The mapping diagram
To do this, we simply point the number of movies, to the corresponding costs, using arrows
See attachment for the mapping diagram.
(b) Is the relation a function
From the attached mapping, we can see that:
The costs of each movie are different.
This means that: the relation is a function.
(c) Describe the pattern
Notice that as the number of movies increases, the cost also increases;
However, the unit cost decreases.
Hence, the unit cost of each movie decreases as the number of movies increases.
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Which expression is equivalent to the following complex fraction?
StartFraction 3 Over x minus 1 EndFraction minus 4 divided by 2 minus StartFraction 2 Over x minus 1 EndFraction
StartFraction 2 (x minus 2) Over negative 4 x + 7 EndFraction
StartFraction negative 4 x + 7 Over 2 (x minus 2) EndFraction
StartFraction negative 4 x + 7 Over 2 (x squared minus 2) EndFraction
StartFraction 2 (x squared minus 2) Over (negative 4 x + 7) EndFraction
Answer:
\(\dfrac{-4x+7}{2(x-2)}\)
Step-by-step explanation:
The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.
\(\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}\)
Answer:
B
Step-by-step explanation:
I got it right on EDGE
One batch of vegetable soup uses 2 cups of chopped onions 1.5 cups of chopped celery and one cup of chopped carrots select each ratio that will help a chef compare cups of chopped carrots to the total of cups of chopped vegetables circle all that apply
Answer:
4.5
Step-by-step
2+1=3+1.5+4.5
picture attached please help!