Answer:
The total number of social worker doing part time work is 9 .
Step-by-step explanation:
Given as :
The percentage of social worker on which Cole surveyed = 20 %
I.e 20 % of the social worker
Or the number of social worker = 45
Let The number of social worker working part time = x
So, x = 20 % of the total social worker
I.e x = 0.2 × 45
∴ x = 9
So , out of total 45 social worker , the number of social worker working part time = 9
Hence The total number of social worker doing part time work is 9 . Answer
Cole surveyed 225 social workers in total.
Understanding Employment Percentages
To find the total number of social workers that Cole surveyed, we can use a simple proportion based on the information given:
→ 20% of the total number of surveyed social workers = 45.
→ Let N be the total number of social workers surveyed.
Write the equation representing the percentage:
→ 0.20 * N = 45
→ Solve for N by dividing both sides of the equation by 0.20:
N = 45 / 0.20
= 225
So, Cole surveyed a total of 225 social workers.
What is the solution to the inequality d/7+4<0
Answer:
d < -28
d ∈ (-∞ , -28)
Step-by-step explanation:
[tex]\frac{d}{7}[/tex] + 4 < 0
Taking 4 on the right side of the equation,
We get, [tex]\frac{d}{7}[/tex] < -4
Now, since 7 is positive number , we can transfer it to right side of the equation multiplying with -4,
It gives, d < -28.
So d belongs from -∞ to -28 excluding -28 ,
We can write, d ∈ (-∞ , -28).
10n -11 =3 + 4n + 6n
Answer:
10n -11 =3 + 4n + 6n
10n - 10n -11 =3-3 + 4n + 6n
-11 - 3 = -10n + 4n + 6n
-14= -10n + 10n
-14 = n
Step-by-step explanation:
10n -11 =3 + 4n + 6n
10n - 10n -11 =3-3 + 4n + 6n
-11 - 3 = -10n + 4n + 6n
-14= -10n + 10n
-14 = n
Write two ordered pairs to show that the equation y = 15x represents the data.
A. (1, 15), (2, 50)
B. (1, 15), (2, 30)
C. (2, 15), (2, 40)
D. (1, 25), (2, 60)
Answer:
b
Step-by-step explanation:
the only one that has a cop of 15 is b
The two ordered pairs to show that the equation y = 15x represents the data are (1, 15) and (2, 30) option (B) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear equation is:
y = 15x
Plug x = 1
y = 15
Plug x = 2
y = 30
The two points are (1, 15) and (2, 30) which lie on the equation of the line y = 15x
Thus, the two ordered pairs to show that the equation y = 15x represents the data are (1, 15) and (2, 30) option (B) is correct.
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What is gif of 18 and 24
Answer:
6
Step-by-step explanation:
I assume you mean GCF, greatest common factor.
First, write the prime factorizations for each:
18 = 2¹ × 3²
24 = 2³ × 3¹
Next, find what they have in common. Both have a factor of 2¹ and 3¹.
GCF = 2¹ × 3¹
GCF = 6
The greatest common factor is 6.
Answer:
6
Step-by-step explanation:
18 = 1x18 2x9 3x6
24 = 1x24 2x12 4x6 3x8
(ANSWERS IN THE IMAGE ABOVE)
Select the correct graph that shows the solution to 18 > 3x - 3
Answer:
c
Step-by-step explanation:
Solve the inequality, that is
18 > 3x - 3 ( add 3 to both sides )
21 > 3x ( divide both sides by 3 )
7 > x, hence
x < 7
< is denoted by an open circle on the number line at 7, meaning that x cannot be equal to 7. Since less than 7 then the arrow head points to the left of 7
This is represented by Graph c
Please explain your answer. Thank you!
Answer:
C
Step-by-step explanation:
Let length of rectangle be "l"
Let width of rectangle be "w"
We know,
LENGTH is 2 MORE THAN WIDTH, we can write:
l = w + 2
Also, note the perimeter is the sum of all 4 sides of a rectangle, thus:
length + width + length + width
Now,
The perimeter is given as 72, so we can write:
l + l + w + w = 72
2l + 2w = 72
We have 2 equations that we need to solve and find the length (l).
The first equation is:
l = w + 2
Rearranging, we have:
w = l - 2
We put this into 2nd equation and find the value of l:
[tex]2l + 2w = 72\\2l + 2(l-2) = 72\\2l+2l-4=72\\4l-4=72\\4l=76\\l=\frac{76}{4}\\l=19[/tex]
The length is 19 meters, the correct answer is C
Tory and Quentin are the same age. Tory’s younger sister is the same age as Quentin’s younger brother. Tory is 3 years older than her sister. Quentin’s age is 8 years less than twine his brother’s age. Write and solve an equation to determine Tory’s and Quentin’s ages.
Answer:
Tory=14 Quentin=14
Step-by-step explanation:
Sister and brother same age
s=sister b= brother
s=b
Tory=s+3 Quentin =2b-8 = 2s-8
EQUATION
s+3 = 2s-8
3=s-8
11=s
sister=11 brother = 11
Tory=11+3=14 quentin=2(11)-8 = 22-8=14
By creating equations based on the ages of Tory and Quentin relative to their siblings, we find that both Tory and Quentin are 14 years old.
Explanation:Let's denote Tory's age as T and her sister's age as S. Given that Tory is 3 years older than her sister, we can write the first equation as:
T = S + 3
Similarly, let's denote Quentin's age as Q and his brother's age as B. It's given that Quentin's age is 8 years less than twice his brother's age, which gives us the second equation:
Q = 2B - 8
Since Tory and Quentin are the same age, we also know that T = Q, and their siblings are the same age, so S = B. Combining these equations:
T = S + 3
T = 2S - 8
Setting the two expressions for T equal to each other gives us:
S + 3 = 2S - 8
Solving this equation:
S = 11 (Tory's sister's age)T = S + 3 = 14 (Tory's and Quentin's age)
Tory and Quentin are both 14 years old.
calcular lo que costará sembrar césped en un jardín de forma triangular de base 25 m y de altura 15m si cada metro cuadrado de césped cuesta $20 dólares
Answer:
$3,750
Step-by-step explanation:
In english:
First we need to calculate the area of the garden. As it is a triangle we calculate the area as:
area = (base*height)/2
The base is 25m and the height 15m, so the area is:
area = 25*15/2 = 187.5 m2
As each m2 costs $20, for the whole cost we need to calculate the product between 187.5 m2 and $20:
cost = 187.5 * $20 = $3,750
Total cost: $3,750
In spanish (en espanol):
Primero necesitamos calcular el área del jardín. Como es un triángulo calculamos el área como:
área = (base * altura) / 2
La base mide 25 my la altura 15 m, por lo que el área es:
área = 25 * 15/2 = 187.5 m2
Como cada m2 cuesta $ 20, para el costo total necesitamos calcular el producto entre 187.5 m2 y $ 20:
costo = 187.5 * $ 20 = $ 3,750
Costo total: $3,750
Evaluate 3+11t-9u when t=9 and u=11
Answer:
3
Step-by-step explanation:
3+11t-9u
3+11(9)-9(11)
3+99-99
3+0
3
Answer:
Step-by-step explanation:
3+11(9)-9(11)
3+99-99
3
5x – 2x + 3x is equal to ?
Answer:
4x
Step-by-step explanation:
5x+2x=7x
7x-3x=4x
Answer: 6
Step-by-step explanation: 5-2+3
Whitney contributes 13% of her $70,600 annual salary to her 401(k) plan.
What is her pretax income?
O A. $71,41.92
O B. $61,422
O C. $49,016
O D. $59,808
Answer:
option (B) $61,422
Explanation:
Given the annual salary is $70,600
Percent of Contribution made from the income = 13%
Pretax Salary/Income is calculated by the formula, Salary – 13% of salary
Pretax income =
[tex]70600 - \frac{13}{100} \times 70600[/tex]
= 70600 – 9178 = 61422
Therefore whitney’s pretax income is $ 61422
Hence, option (B) is correct
Answer:
The correct answer is B. $61,422
Step-by-step explanation:
can you tell me if they are proportional or nonproportional
Answer:
4. All of the values are not proportional except 2 values
5. All of the values are non-proportional
6. All of the values are proportional
7. The two variables are proportional when, (no. of pies ordered (one of the variables)) is ≥ 12 . but the two variables are non-proportional when, 0 < (no. of pies ordered (one of the variables)) < 12.
Step-by-step explanation:
4.All of the values in table 4. are not proportional, except 2 since,
[tex]\frac {1}{17.25} = \frac{4}{70} \neq \frac{2}{35.50} \neq \frac{3}{50.75}[/tex]
although the units for all fractions is the same i.e., hour/dollar
5. All of the values in table 5 are non-proportional since,
[tex]\frac {1}{37} \neq \frac {2}{73} \neq \frac {3}{109} \neq \frac{4}{145}[/tex]
although units for all the fractions are the same. i. e., hour/no. of pages
6. All of the values of the table 6. are proportional, since,
[tex]\frac {1}{2.75} = \frac {2}{5.5} = \frac {3}{8.25} = \frac {4}{11}[/tex]
and all of the fractions have same unit i. e., number of lunches/dollar
7. If no, of pies ordered is less than a dozen, then the cost is given by,
y = 5 + 4.5x [y in $, where x is the no. of pies ordered and 0 < x < 12]
clearly, y is not proportional to x.
The table of some values is given by,
x y
1 $ 9.5
2 $ 14
3 $ 18.5 etc.
If no, of pies ordered ≥ 12, then the cost is given by,
m = 4.5n [m in $, where, n is no. of pies ordered and n ≥ 12]
clearly, m is proportional to n
The table of some values is given by,
n m
12 $ 54
13 $ 58.5
14 $ 63 etc.
The distance from first base to third base is 1.4times the distance from home plate to third base, which is k feet. REPRESENT THE DISTANCE FROM FIRST BASE TO THIRD BASE.
Answer:
1.4 times k
Step-by-step explanation:
If k feet is the distance from home plate to third base, and the distance from first base to third base is 1.4 times the previous value, then
distance from first base to third base = 1.4 * k or 1.4 times k
If, for example, k=90 feet, then from first to third base there are
1.4*90=126 feet
Every time Liliana bakes a batch of brownies,
she uses 3/4 cup of chocolate. If she has 12/8
cup(s) of chocolate remaining, how many
batches of brownies can Liliana make?
Answer:
Liliana can make two batches of brownies!
Step-by-step explanation:
12/8 is equal to 6/4, which is double 3/4.
Liliana can make 2 batches of brownies.
12/8 is equal to 6/4
3/4 x 2 = 6/4
May I have brainliest please? :)
Please need help need to have it in 5 minutes
Answer:
5 1/12
Step-by-step explanation:
What you should do is find the common denominator for all of these numbers, which is 12.
Now you have to multiply the fraction part so the denominator equals 12.
1*6/2*6= 6/12
3*3/4*3= 9/12
5*2/6*2= 10/12
Now you have to add up all of these numbers
2+6/12+1+9/12+10/12= 3 25/12, which simplified would equal 5 1/12.
A consistent, independent system of equations is a system with __________.
A consistent , independent system of equation is one that has at least one solution.It is independent because it has a single solution.
Step-by-step explanation:
The three types of systems of linear equations in two variables and three types of solutions.
An independent system has exactly one solution pair (x,y). The point of intersection presents the single solution.
An inconsistent system has no solution.such equations will produce two parallel lines with no solution.
A dependent system has infinitely many solution.Such lines are coincident.
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A consistent, independent system of equations is a system where the equations have a unique solution.
Explanation:A consistent, independent system of equations is a system where the equations have a unique solution. This means that there is exactly one set of values for the variables that satisfy all of the equations simultaneously.
For example, consider the following system of equations:
x + y = 52x - y = 1In this system, there is a unique solution: x = 2 and y = 3. Therefore, it is a consistent, independent system of equations.
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the half of 4 plus 4?
1.
Find a and b so that the graph of y = ax^2+bx+3 has a relative minimum at (2,1)
Answer:
[tex]a=0.5[/tex]
[tex]b=-2[/tex]
Step-by-step explanation:
we have
[tex]y=ax^{2}+bx+3[/tex]
For x=2, y=1
substitute
[tex]1=a(2)^{2}+b(2)+3[/tex]
[tex]4a+2b=-2[/tex] -----> equation A
Remember that
If the function has a relative minimum in (2,1), then the first derivative of the function must be equal to zero when x=2
The first derivative is equal to
[tex]\frac{dy}{dx}=2ax+b[/tex]
so
[tex]0=2a(2)+b[/tex]
[tex]b=-4a[/tex] ----> equation B
Solve the system of equations A and B by substitution
Substitute equation B in equation A
[tex]4a+2(-4a)=-2[/tex]
solve for b
[tex]4a-8a=-2[/tex]
[tex]-4a=-2[/tex]
[tex]a=0.5[/tex]
Find the value of b
[tex]b=-4a[/tex] ----> [tex]b=-4(0.5)=-2[/tex]
The quadratic equation is
[tex]y=0.5x^{2}-2x+3[/tex]
ASAP HURRY!!!!!!!!!!!!!!!!!!!Complete the following statement. 3 ( 20 + 4 ) = a0
Answer:
72
Step-by-step explanation:
3(20+4)=a0
60+12=a0
72=a0
im not quite sure what you want. I solved for a0. Plz tell me if this is correct. If its not, tell me what u need, then I will solve it for you.
Answer:
72
Step-by-step explanation:
3 * 20 = 60
3 * 4 = 12
60 + 12 = 72
Farmer Ed has 2,500 meters of fencing,
and wants to enclose a rectangular plot
that borders on a river. If Farmer Ed
does not fence the side along the river,
what is the largest area that can be
enclosed?
The largest area that can be enclosed
Answer:
Because it is a rectangle, the area is expressed as A = xy, or length times width.
Because it is next to the river, he only needs to fence three sides, so F = x + 2y.
Knowing the amount of fencing available is 7500m, we get:
7500 = x + 2y solve for x
x = 7500 - 2y substitute into the area equation
A = (7500 - 2y)y distribute
A = -2y2 +7500y
You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875
x = 7500 - 2(1875) = 3750
A = 3750(1875) = 7,031,250 m2
Step-by-step explanation:
The largest area that can be enclosed is 781250 m²
Area of rectanglearea = lwwhere
l = length
w = width
The farmer wants to enclose a rectangular plot that borders a river. He is not fencing the side along the river. Therefore,
perimeter = l + 2w
l = 2500 - 2w
Therefore,
area = (2500 - 2w)w
(2500 - 2w)w = 0
w = 0 or 1250
average = 1250 / 2 = 625 meters
Hence, the max area is at w = 625 meters
Therefore,
l = 2500 - 2(625) = 1250
length = 1250 meters
width = 625 meter
Therefore,
area = 1250 × 625 = 781250 m²
Therefore, the largest area that can be enclosed is 781250 m²
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At the store,Jason finds the total volume of soda in a pack is 113.04 cubic inches. If each cylinder-shaped can has a height of 6 inches and a diameter of 2 inches,how many soda cans are in a pack? (Use 3.14 for pie)
Answer:
The number of soda can that are in the pack is 6 .
Step-by-step explanation:
Given as :
The volume of soda pack = 113.04 inches³
The height of cylinder shaped can = H = 6 inches
The diameter of cylinder shaped can = 2 inches
So, the radius R = [tex]\frac{Diameter}{2}[/tex] = [tex]\fr{2}{2}[/tex]
Or, R = 1 inches
Now, The volume of cylinder = [tex]\pi[/tex] × R² × H
Or , The volume of cylinder = 3.14 × 1² × 6
Or , The volume of cylinder = 3.14 × 6 = 18.84 inches³
So, The number of soda cans packed = [tex]\dfrac{\textrm volume of soda pack}{\textrm volume of cylinder}[/tex]
or, The number of soda cans packed = [tex]\frac{113.04}{18.84}[/tex]
∴ The number of soda cans packed = 6
Hence The number of soda can that are in the pack is 6 . Answer
Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals, 10, h.
Answer:
$10 per hour. It takes 0.1 hours to earn $1
Step-by-step explanation:
E=10h
E=10 x 1
E=10
Carys earns $10 per hour.
E=10h
1=10h
1/10=10h/10
0.1=h
It takes Carys 0.1 hours to earn a dollar.
Kala took out a loan for 5 months and was charged simple interest at an annual rate of 6 % . If the amount of the loan was $ 400 , what is the amount of interest she had to pay?
Answer:
$10
Step-by-step explanation:
Interest rate of 6% means ,She had to pay 6 percent of $400 in a year as Interest
Which is 6×[tex]\frac{400}{100}[/tex] = $ 24 (In 12 months)
So, In one month she had to pay $2.
Thus,
In 5 months she had to pay $10 as Interest
Answer: $10
Step-by-step explanation:
Formula for calculating interest= PRT ÷ 100 where,
P = Principal
R = Rate
T = Time
P= $400
R= 6%
T = 5 months
Note that there are 12 months in a year.
Simple Interest= PRT/100
= (400 × 6 × 5) ÷ (12 × 100)
= 12000 ÷ 1200
= 10
The simple interest is $10
Using prime factorization to find the GCF of 14c 2 squared, 35c
Answer:
7C
Step-by-step explanation:
[tex]14c^2=2*7*c*c\\35 c=5*7*c\\G.C.F.=7C[/tex]
2x^2+8x=x-3x^2
I will mark brainiest
Answer:
(0,-7/5)
Step-by-step explanation:
2x^2+8x=x-3x^2
2x^2+3x^2=x-8x
5x^2=-7x
5x^2+7x=0
x(5x+7)=0
x=0 or x=-7/5
solution set is (0,-7/5)
Answer:
x=0,x=-1.4
Step-by-step explanation:
[tex]2 {x}^{2} + 8x - x + 3 {x}^{2} = 0 \\ 5 {x}^{2} + 7x = 0 \\ x(5x + 7) = 0 \\ x = 0 \\ \\ 5x + 7 = 0 \\ x = - \frac{7}{5} = -\frac{140}{100} = -1.4[/tex]
Find out how much it cost for 8 apples if they are .99 cents. Write an equation
Answer:
7.92
Step-by-step explanation:
0.99*8=7.92
Answer:
8a = 8(.99)
7.92
hoope it helps
Enter the equation of the line in slope-intercept form.
Slope is 1/4, and (4, 2) is on the line.
The equation of the line is y =
Answer:
y=[tex]\frac{1}{4}[/tex]x
Step-by-step explanation:
the y intercept is 0
A sixth grade silence club needs 180$ to pay for the tickets to a science museum. All the tickets cost the same amount. What could 180 divided by 15 mean in this context? Describe two interpretations of the expression. Then, find the quotient and explain what it means in each interpretation
Answer:
See explanation
Step-by-step explanation:
A sixth grade silence club needs 180$ to pay for the tickets to a science museum.
1. Suppose there 15 students in the club, then each of them needs to pay
[tex]\dfrac{\$180}{15}=\$12[/tex]
This means each ticket costs $12.
2. Suppose each ticket cost $15, then there are
[tex]\dfrac{\$180}{\$15}=12[/tex] students in the club.
Final answer:
Explains the meaning and interpretations of 180 divided by 15 in the context of purchasing museum tickets for a silence club in a clear manner.
Explanation:
180 divided by 15 in this context means dividing the total amount needed for tickets by the number of equal cost tickets being purchased. Let's interpret this:
Interpretation 1: Each 15 represents the cost of one ticket. So, 180 divided by 15 means there are 15 tickets to be purchased with the total amount.Interpretation 2: Looking at it as a division problem, 180 divided by 15 equals 12, indicating that 12 tickets can be purchased with the total amount.Hence, the quotient of 180 divided by 15 is 12, which means either 15 tickets are bought or 12 tickets with the total amount.
The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 35 seconds? A=A0ekt
Answer:
1.415 gram of the element will be left.
Step-by-step explanation:
The decay of radioactive element Krypton-91 can be formulated as
[tex]A_{t} = A_{0} e^{-kt}[/tex] ............ (1)
where, [tex]A_{0}[/tex] is the initial amount of the element.
[tex]A_{t}[/tex] is the amount of element left after t seconds.
And k is a rate constant.
Now, given that the half-life of the element is 10 seconds.
So, from equation (1) we get
[tex]0.5 = e^{- k \times 10}[/tex]
taking ln on both sides, we get.
ln 0.5 = -10k
⇒ k = 0.0693
So, the equation (1) becomes [tex]A_{t} = A_{0} e^{-0.0693t}[/tex] ........ (2)
Now, if 16 gram of the element are initially present, then we asked to determine the amount of the element left after 35 seconds.
So, from equation (2) we have [tex]A_{t} = 16 e^{- 0.0693 \times 35} = 1.415[/tex] gm.
So, 1.415 gram of the element will be left. (Answer)
After 35 seconds, approximately 1.414 grams of krypton-91 would remain, based on its half-life of 10 seconds and the nature of radioactive decay.
Explanation:The question pertains to the concept of radioactive half-life, which is the time it takes for half the atoms in a radioactive sample to decay. For krypton-91 with a half-life of 10 seconds, after 35 seconds, we can calculate the remaining amount using the concept of half-lives. We know that after each half-life, the remaining amount of the radioactive substance is halved.
To find out how many half-lives have passed in 35 seconds for krypton-91, we divide the elapsed time by the half-life:
Number of half-lives = Total time elapsed / Half-life duration = 35 seconds / 10 seconds = 3.5 half-lives.
After each half-life, the quantity remaining is halved. This gives us:
Amount after 1st half-life = 16 g / 2 = 8 g
Amount after 2nd half-life = 8 g / 2 = 4 g
Amount after 3rd half-life = 4 g / 2 = 2 g
However, since we have 3.5 half-lives, we must halve the amount one more time, but only halfway (since we have half of a half-life), giving us:
Amount after 3.5 half-lives = 2 g / √2 ≈ 2 g / 1.414 = 1.414 g
Therefore, approximately 1.414 grams of krypton-91 would remain after 35 seconds.
Suppose that $11,572 is invested at an interest rate of 6.2% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
a) The exponential growth function is P(t)= .
(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)