Answer:
Answer:
Answer is: 32 nickels and 23 dimes.
x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
nickel is a five-cent coin.
dime is a ten-cent coin.
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.
A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.007x2 + 0.003.x
How long, in seconds, will it take the computer to sort 15 objects?
Answer:
it will take 0.056025 seconds to complete
Step-by-step explanation:
Here, we want to know the amount of time it will take. the computer to sort 15 items.
What to do here is simply substitute the value of 15 for x
Thus, we have
t = 0.007(15)^2 + 0.003(15)
t = 0.011025 + 0.045
t = 0.056025
answer: 1.62
step-by-step explanation: apx :)
Solve each equation for the specified variable dx + t =10 solve for x
Answer:
dx + t = 10
dx = 10 - t
x = (10 - t) / d
Answer:
[tex]x=\frac{10-t}{d}[/tex]
Step-by-step explanation:
[tex]dx + t =10[/tex]
Add [tex]-t[/tex] on both sides.
[tex]dx + t -t=10-t[/tex]
[tex]dx=10-t[/tex]
Divide both sides by [tex]d[/tex].
[tex]\frac{dx}{d} =\frac{10-t}{d}[/tex]
[tex]x=\frac{10-t}{d}[/tex]
Find the value of X in the figure PQ is tangent to O at P
Answer:13
Step-by-step explanation:
Which binomial is a factor of 9x2 - 64?
COM
3x - 8
9x - 32
3x + 32
9x + 8
Answer:
3x - 8
Step-by-step explanation:
9x² - 64 is a perfect square binomial
3x - 8 and 3x + 8 are the factors
First factor the 2nd degree polynomial.
[tex]9x^2-64=(3x-8)(3x+8)[/tex]
We find that polynomial is factored to two binomials:
[tex]3x-8[/tex][tex]3x+8[/tex]Hope this helps.
There are 6 women and 9 men eligible to be in a committee of 5. Find the expected number of women on the committee given that at least one woman must be on the committee. Round the probabilities of the distribution to four decimal places or keep them as fractions. Round the answer to two decimal places.
Answer:
P = 0.2517
Step-by-step explanation:
In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)
P (at least one woman) = 6C1 * 9C4 / 15C5
we know that nCr = n! / (r! * (n-r)!)
replacing we have:
6C1 = 6! / (1! * (6-1)!) = 6
9C4 = 9! / (4! * (9-4)!) = 126
15C5 = 15! / (5! * (15-5)!) = 3003
Therefore it would be:
P (at least one woman) = 6 * 126/3003
P = 0.2517
That is, approximately 1 out of 4 women.
EXTRA POINTS The amount of people diagnosed is 3,131,953 and the amount of deaths is 132,056 what is the percentage of people who die from the disease?
2.3%
divide the infected number by the deaths. Then move the decimal points to the left.
Answer:
2.3%
divide the infected number by the deaths. Then move the decimal points to the left.
Step-by-step explanation:
PLEASE HELP ASAP!:
Solve for a and b
6a-b=-5
4a-3b = -8
Answer:
a = -1/2
b = 2
Step-by-step explanation:
Step 1: Rewrite 1st equation
-b = -5 - 6a
b = 5 + 6a
Step 2: Substitution
4a - 3(5 + 6a) = -8
Step 3: Solve
4a - 15 - 18a = -8
-14a - 15 = -8
-14a = 7
a = -1/2
Step 4: Plug in a to find b
6(-1/2) - b = -5
-3 - b = -5
-b = -2
b = 2
and check your answers. At the end of the activity, write a brief evaluation of your work.
Activity
Yolanda is filling her bathtub. The table shows the number of gallons of water in the
bathtub at different times since she started filling it.
Time
(minutes)
Water
(gallons)
16.50
1
1.5
24.75
2.
33
Answer the following questions based on the information in the table.
Part A
Find the constant of proportionality (in gallons per minute) using the values in the first
row of the table.
Answer:
16.5 gallons per minute.
Step-by-step explanation:
The given table is:
[tex]\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}[/tex]
We are given this linear function in the form of table.
Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.
We can use slope intercept form to find the equation.
[tex]y=mx+c[/tex]
Slope of a function:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50[/tex]
[tex]m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5[/tex]
This slope is the constant of proportionality.
i.e. the rate at which the number of gallons are changing per minute.
So, the answer is 16.5 gallons per minute.
PLEASEEEEEE HELP MEEEEE 100 points!!!!!!!!!!!! The map shows the location of a mall, library, and school in a city: Coordinate grid shown from negative 12 to positive 12 on x axis at intervals of 2, and negative 12 to positive 12 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 10, 10 , Mall is the ordered pair 10, 10, and School is the ordered pair 10 and negative 11. Sarah traveled from the school to the mall and then from the mall to the library. Bret traveled from the school to the library. How many miles did Sarah and Bret travel altogether? (1 point) Select one: a. 12 miles b. 29 miles c. 41 miles d. 70 miles
Sarah: School to mall = 21
mall to library = 20
Total distance for Sarah = 20 + 21 = 41 miles.
Use the Pythagorean theorem to find the distance Bret traveled:
Distance = SQRT(21^2 + 20^2)
= sqrt(441 + 400)
= sqrt(841)
= 29 miles
Total distance = 41 + 29 = 70 miles
Answer is D. 70 miles.
Answer:
70
Step-by-step explanation:
i took the test
En una fábrica de pinturas cuentan con un tanque de pintura blanca y otro de pintura azul. El litro de pintura blanca cuesta 4 dólares y el litro de pintura azul, 7 dólares. Si se quiere mezclar ambas pinturas para llenar un tanque de 500 litros de capacidad y además se requiere que la mezcla no cueste más de 6 dólares ni menos de 5 dólares el litro. ¿Cuál de las siguientes inecuaciones te ayuda a calcular cuántos litros de pintura blanca, como máximo, debe tener la mezcla? ("x" representa la cantidad de litros de pintura blanca) 1. (4x + 7x)/500 > 5 2. 4x + 7(500 - x) > 5 3. 4x + 7x > 500 4. [4x + 7(500 - x)]/500 > 5
Answer:
Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].
Step-by-step explanation:
Esta situación puede ser descrita mediante una ecuación y una inecuación simultánea. La ecuación es de la capacidad del tanque, mientras que la inecuación es del coste unitario de la mezcla. Sean [tex]x[/tex] y [tex]y[/tex] las capacidades empleadas de pintura blanca y pintura azul en litros, entonces:
Capacidad del tanque (en litros)
[tex]x + y = 500\,L[/tex]
Coste unitario de la mezcla (en dólares por litro)
[tex]5\,\frac{USD}{L} < \frac{4\cdot x + 7\cdot y}{500} < 6\,\frac{USD}{L}[/tex]
Es decir:
[tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex]
Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].
A SQUARE CARPET IS LAID IN ONE CORNER OF A RECTANGULAR ROOM, LEAVING STRIPS OF UNCOVERED FLOOR 2M WIDE ALONG ONE SIDE AND 1M ALONG OTHER . THE AREA OF THE ROOM IS 56m SQUARED .FIND THE DIMENSIONS OF THE CARPET
Answer:
Step-by-step explanation:
A square has equal sides. Let x represent the length of each side of the square carpet. The diagram representing the room and the carpet is shown in the attached photo. Therefore, the length of the room would be (x + 2)m while the width of the room would be (x + 1)m
Since the area of the room is 56m², it means that
(x + 2)(x + 1) = 56
x² + x + 2x + 2 = 56
x² + 3x + 2 - 56 = 0
x² + 3x - 54 = 0
x² + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
x - 6 = 0 or x + 9 = 0
x = 6 or x = - 9
Since the dimension of the carpet cannot be negative, then x = 6
The dimension of the carpet is 6m × 6m
Which of the following equations is not linear?
A. 13x - 12y = 82
B. -6x = y
C. 7 = y
D. y = x² - 2
Answer:
I think its A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The graph would be a curve because of the exponent.
Can someone help me out with this please
Answer:
143.81
Step-by-step explanation:
Trapezoid Area
A = 2b/2 * h
A = 9 + 23/2 * 7
A = 32/2 * 7
A = 16 * 7
A = 112
Semi-circle Area
A = πr²/2
A = π4.5²/2
A = π20.25/2
A = 63.62/2
A = 38.81
Total Area
112 + 38.81
143.81
please is there anyone who can solve it
Answer:
1/20
Step-by-step explanation:
So, he eats 5/8 of 1/3 of the pizza. That would be 5/8*1/3=5/24
Then, he eats 2/5 of what is left. What is left is 3/8*1/3=1/8.
So, 1/8*2/5=1/20
Therefore, Teddy ate 1/20 of the original pizza
Please help with this 3a² = 27. Find a
Answer:
[tex]a = 3[/tex]
Step-by-step explanation:
[tex]3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3[/tex]
Answer: 9
Step-by-step explanation:
First divide both sides by 3
[tex]a^2=9[/tex]
Then root both sides([tex]\sqrt{a^2}=\sqrt{9}[/tex])
a = 9
Hope it helps <3
Edit: :o this is my 250th answer
Find the measure of angle b.
your answer_____
Answer:
b = 131
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
b+49 = 180
Subtract 49 from each side
b = 180-49
b =131
Answer:
Angle b is 131°
Step-by-step explanation:
Angles on a straight line add up to 180°
To find b add 49 and b and equate it to 180°
That's
b + 49 = 180
b= 180 - 49
b = 131°
Hope this helps you
Step 1: -10 + 8x < 6x - 4
Step 2: -10 < -2x - 4
Step 3: -6 <-2x
Step 4:
What is the final step in solving the inequality -2(5-
4x) < 6x - 4?
0x<-3
X > -3
0x<3
x > 3
Answer:
Step-by-step explanation:divide both sides by the coefficient of x that is the number beside x and in inequality, when dividing with a negative sign the sign would change to its opposite sign.
-6<-2x
-6/-2>-2x/-2
3>x
X<3 this is the answer.
HELP!!! What is the MAD for these numbers? 5 22 14 13 18 7 9 12
Answer:
4.25
Step-by-step explanation:
Answer:15 I think
Step-by-step explanation:
True or False? When Samantha includes more batteries in her project, the current in her project increases. Current is the independent variable in this situation. True False
Answer:
FALSE
Step-by-step explanation:
Since what Samantha is doing (varying) by including more batteries in her project, the number of batteries is the variable that she manipulates at her wish. So this is the independent variable.
The current increasing is the result to the changes she had made modifying the independent variable (number of batteries), therefore the current is the DEPENDENT variable (dependent on the number of batteries used).
So the statement is FALSE
Answer:
False
Step-by-step explanation:
Which of these sets of side lengths are pythagorean triples!
Hey there! :)
Answer:
Choices 1, 4 and 5.
Step-by-step explanation:
To solve, we can go through each answer choice and check if they are Pythagorean Triples using the Pythagorean Theorem:
1) 26² = 10² + 24²
676 = 100 + 576
676 = 676. This is correct.
2) 49² = 14² + 48²
2401 = 196 + 2304
2401 ≠ 2500. This is incorrect.
3)
16² = 12² + 9²
256 = 144 + 81²
256 ≠ 225. This is incorrect.
4)
41² = 40² + 9²
1681 = 1600 + 81
1681 = 1681. This is correct.
5)
25² = 15² + 20²
625 = 225 + 400
625 = 625. This is correct.
Therefore, choices 1, 4 and 5 are correct.
Answer:
A, D, and E.
Step-by-step explanation:
plz help me 6.5(a - 4)
Answer:
6.5a-26
Step-by-step explanation:
You have to use the distributive property and multiply each term inside the parentheses by 6.5. By doing this you turn 6.5(a-4) into (6.5)(a)-(6.5)(4). You can then simplify this into 6.5a - 26
Answer:
6.5a-26
Step-by-step explanation:
We are given the expression:
6.5(a-4)
If we want to simplify this expression, then we must use the distributive property.
To distribute, multiply each term inside the parentheses by the number outside the parentheses.
(6.5*a) + (6.5*-4)
Multiply
6.5a+ (6.5*-4)
6.5a+ -26
A +- can be written as just -
6.5a-26
(1) 10x’y' + 15xy? :
Answer:
factor: 5(2x'y'+3xy)
Step-by-step explanation:
thats for factoring, i didnt know what you needed
Answer:
25xy
Step-by-step explanation:
collect like terms
BRAINLIEST!!!! PLEASE HELP ASAP! The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answer:
248 in²
Step-by-step explanation:
Given the net of the rectangular prism above, to find its surface area, find the length and width of each part of the net, calculate the area of each and add all the areas together.
==>Measurement and areas of each part of the net (note: each small box = 2 in):
There are 6 parts of the net
=>Area of 2 parts:
2 of the parts of the net have the same measurement, L = 6 in, W = 4 in
Area of 2 parts = 2(6*4) = 2(24) = 48 in²
=>Area of 2 parts:
Measurement: L = 10 in, W = 4 in
Area = 2(10*4) = 2(40) = 80 in²
=>Area of 2 parts:
Measurement: L = 10, W = 6
Area = 2(10*6) = 2(60) = 120 in²
Surface area of the prism = 48+80+120 = 248 in²
the square root of 169
Answer:
The answer is 13
Step-by-step explanation:
You'll say what will you multiply by itself to give you 169.
It will be 13 times itself and it will be =169.
The inverse of F(x) is a function. True or false ?
Answer:
The answer is true......
Can someone please help me I really need help please help me thank you
Answer:
m = ½; b = 0
Please mark my answer as brainliest
the equation can be written y=mx+d.so
m=1/2 and d=3
Which is a sign of deductive reasoning?
A). Ali notices that a plant grows 2 inches each week. Nikki has a plant, so it must grow 2 inches each week.
B). Bruce asks his friends what kind of music they like best. They all say rock, so everyone in the world likes rock music best.
C). All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
Answer:
C).
Step-by-step explanation:
In A and B they are making generalisations . Their deductions are not valid.
Solve for x. Write both solution, separated by a comma. 9x^2+6x-8=0
Answer:
x = -4/3, 2/3
Step-by-step explanation:
Step 1: Factor
(3x + 4)(3x - 2) = 0
Step 2: Find roots
3x + 4 = 0
3x = -4
x = -4/3
3x - 2 = 0
3x = 2
x = 2/3
Answer:
x₁ = -4/3
x₂ = 2/3
Step-by-step explanation:
9x² + 6x - 8 = 0
9x² + 12x - 6x - 8 = 0
3xx(3x + 4) - 6x - 8 = 0
3xx(3x + 4) - 2(3x + 4) = 0
(3x + 4) × (3x - 2) = 0
3x + 4 = 0 → x = -4/3
3x - 2 = 0 → x = 2/3
Hope this helps! :)
The mean age of 10 women in an office is 30 years old. The mean age of 10 men in an office is 29 years old. What is the mean age (nearest year) of all the people in the office?
Answer: 30 years
Step-by-step explanation:
From the question, we are told that the mean age of 10 women in an office is 30 years old. This means that the total ages of the women in the office will be:
= 10 × 30 years
= 300 years
Also, the mean age of 10 men in an office is 29 years old. This means that the total ages of the men in the office will be:
= 10 × 29 years
= 290 years
Since there are 10 men and 10 women in the office, the number of people in the office is: 10 + 10 = 20 people. Also, the total ages will be: 300 + 290 = 590 years.
The mean age (nearest year) of all the people in the office will then be:
= 590/20
= 29.5 years
= 30 years approximately
What is the equivalent expression of 8x3 - 8?
Step-by-step explanation:
[tex]8x^3-8=2^3x^3-2^3=(2x)^3-2^3\\\\\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(2x-2)\bigg((2x)^2+(2x)(2)+2^2\bigg)\\\\=(2x-2)(4x^2+4x+4)\\=2(x-1)(4x^2+4x+4)\\=4(2x-2)(x^2+x+1)\\=8(x-1)(x^2+x+1)[/tex]
The equivalent expression of 8x³ - 8 is 8(x-1) (x² + x +1)
How to arrive at the above expression
8x³ - 8 = 2³ x³ -2³
= (2x)³ - 2³
Using a³ -b³ = (a - b) (a² + ab + b²)
= (2x -2) ((2x)² + (2x) (2) + 2²))
= (2x -2) (4x² + 4x + 4)
= 2(x-1)(4x² + 4x + 4)
= 4(2x -2) (x² + x +1)
= 8 (x-1) (x² + x +1)
Learn more about expression at:
https://brainly.com/question/1859113
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