Answer: 7.2
Step-by-step explanation:
Use pythag. here: a(a)+b(b)=c(c)
4(4)=16
6(6)=36
16+36= 52
The square root of 52 is your answer: 7.21110255093. You can round this to 7.2
Martha will be entering high school in a couple of years. Which steps should she take to ensure she has money to pay for college? Check all that apply
Martha should start planning early for her college expenses by seeking advice from school counselors, creating a budget, and researching financial aid such as grants, scholarships, and loans. She should be proactive in understanding the costs associated with her post-graduation lifestyle and utilize tools like the Reality Check to create a comprehensive plan.
Martha can take several important steps to ensure she has money to pay for college, which she should start thinking about as she enters high school. These steps include:
Starting to plan early: Speak with school counselors and the college's financial aid office to learn about grants, scholarships, and prepaid tuition or education savings plans such as 529 plans.Creating a budget to track expenses and income, cutting unnecessary spending, and exploring ways to save more effectively for college expenses.Researching various forms of financial aid, including college grants, scholarships, and loans. Filling out important forms such as the FAFSA (Free Application for Federal Student Aid) to get in line for student loans and other financial aid.Additionally, she should consider exploring different post-secondary options like college, trade schools, or military service, all of which can influence the type and amount of financial planning needed.
Talking to parents and using resources like the Jumpstart Coalition's Reality Check will help Martha gain insights into the cost of her desired lifestyle post-graduation and plan accordingly to ensure she can afford her education and future expenses.
8x=2y+5
3x=y+7
what is the solution ?
Answer: (4.5, 6.5) is your solution
Step-by-step explanation:
You need either the x term or the y term to be the same in both equations so you can eliminate them...
8x=2y+5
6x=2y+14
Now you can subtract the two equations...
2x=9
Divide 9 by 2....
x=4.5 or 4 1/2
Plug in x into one of the original equations to find y...
13.5=y+7
Subtract 7 from 13.5...
6.5=y
Kevin is responsible for delivering sacks of grains to a grocery shop on the tenth floor of a departmental store. Each sack weighs 364 pounds and Kevin weighs 150 pounds. The capacity of the elevator is 2,000 pounds.
If six sacks are to be taken at a time, what should be the weight of each sack?
Final answer:
Kevin can safely take sacks weighing up to 308.33 pounds each in the elevator, provided he takes six sacks at a time and the elevator's capacity is 2,000 pounds with Kevin weighing 150 pounds.
Explanation:
The student's question is asking for the maximum weight of each sack of grain that Kevin can deliver on the elevator, given the elevator's weight capacity and the additional weight of Kevin himself. To answer this question, we need to consider the weight that the elevator can hold minus Kevin's weight, and then determine how much weight is left for the sacks of grain.
The elevator has a capacity of 2,000 pounds, and Kevin weighs 150 pounds. This means the total weight that the elevator can carry in addition to Kevin is:
2000 pounds (elevator capacity) - 150 pounds (Kevin's weight) = 1850 pounds (available for sacks)
If Kevin needs to deliver six sacks at a time, we can divide the total available weight by six to find the maximum weight for each sack:
1850 pounds / 6 sacks = approximately 308.33 pounds per sack
Therefore, the weight of each sack must be 308.33 pounds or less for Kevin to safely use the elevator without exceeding its capacity.
Sara sells beaded necklaces she makes a profit of 4 dollars pn every neclace she sells which table represents the profit sara makes
if you multiply the number of necklaces sold by 4 for all 4 values in the first column of the table then you should get the value in the second column of the table
Table {4} represents the correct function that represents the profit function.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that Sara sells beaded necklaces she makes a profit of 4 dollars every necklace she sells.
Assume that she sells {x} necklaces in total. So, we can write the function for Sara's profit as -
y = 4x
We can see that table {4} is represented by the profit function.
Therefore, table {4} represents the correct function that represents the profit function.
To solve more questions on functions, visit the link below-
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Which expression is equivalent to sqrt10/4sqrt8
Answer:
Step-by-step explanation:
Since it's a division we need to look for a common factor to cancel
so first we try to break the numbers to there prime factors
[tex]\frac{\sqrt{10} }{4\sqrt{8} } = \frac{\sqrt{2.5} }{4\sqrt{2.2.2} }[/tex]
So , now we try to factors that are common in top and bottom
[tex]= \frac{\sqrt{2} \sqrt{5}}{4\sqrt{2}\sqrt{4} }[/tex]
common factor is sqrt 2 so lets cancel it
we get
[tex]\frac{\sqrt{5} }{4\sqrt{4} }[/tex]
[tex]\frac{\sqrt{5} }{8}[/tex]
What is the value of b for the following circle in general form?
x^2+y^2+ax+by+c=0
Answer:
a = -2 and b=4 and c = -4
Step-by-step explanation:
the center is : A(1 ; -2)
B(1 ; 1) in this circle so ; AB= r ( ridus)...r =3
note :
an equation of the circle Center at the A(1,-2) and ridus : r is :
(x-1)² +(y+2)² = 3²
x²-2x+1 +y²+4y +4-9 =0
x²+y² -2x+4y -4 = 0 so : a = -2 and b=4 and c = -4
A board that is 2/3 of a yard long needs to be cut into four equal pieces. What will the length of each piece be? yd 2 yd yd yd
Answer:
Step-by-step explanation:
2/3 yard 2 yd
--------------- = ---------------- = 1/6 yd / piece
4 pieces 12 pieces
Alternatively: Use inches:
24 inches
------------------ = 6 inches/piece = 1/6 yd / piece
4 pieces
Which is the best first step when solving the following system of equations? X+y=3 4x-y=7
Answer:
Add the two equations together to eliminate y
Step-by-step explanation:
X+y=3
4x-y=7
I would use elimination since one equation has +y and one equation has -y
Add the two equations together
X+y=3
4x-y=7
-------------------
5x = 10
find the inverse function of f x equals 2x / 3 - 17
Answer:
[tex]\large\boxed{f^{-1}(x)=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)=\dfrac{2x}{3}-17\to y=\dfrac{2x}{3}-17\\\\\text{exchange x to y and vice versa:}\\\\x=\dfrac{2y}{3}-17\\\\\text{solve fro y:}\\\\\dfrac{2y}{3}-17=x\qquad\text{add 17 to both sides}\\\\\dfrac{2y}{3}=x+17\qquad\text{multiply both sides by 3}\\\\2y=3x+51\qquad\text{divide both sides by 2}\\\\y=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}[/tex]
PLEASE HELP !!!!
ivanna's earnings vary directly with the number of hours she works. suppose that she worked 7 hours yesterday and earned $77. if she earned $99 today, how many hours did she work today
Answer:
9 hr
Step-by-step explanation:
vary directly means you should think about a constant being multiply to one variable to get another variable.
So we have E=kH
where E=earnings and H=hours and k is the constant of proportionality
So they give us when H=7 we have E=77 giving us 77=k(7) which means the constant of proportionality is 11
So that means no matter what the E and H are k is 11
So we have the equation is E=11H
Replace E with 99 and solve for H
99=11(H)
So H=9
9 hours
1 + x = 7 − 2x solve the equation
Answer:
x = 2
Step-by-step explanation:
Given
1 + x = 7 - 2x ( add 2x to both sides )
1 + 3x = 7 ( subtract 1 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
What is the explicit formula for this sequence -7, -4, -1, 2, 5
[tex]a_n=3n-10[/tex]
Answer:
an = -7 + (n - 1) 3
Step-by-step explanation:
A bag contains 8 red, 4 blue, and yellow marbles.
[tex]|\Omega|=16\cdot15=240\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{240}=\dfrac{1}{20}=5\%[/tex]
whats 9 plus 10
ps its 21
Answer:
it is 21 because 9+10=19+2=21-10=11+10=21 its magic
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
9 + 10 = 19
It is impossible for it to be 21.
10
9
----
1 9
Hope this helps.
Alice.
What is the fourth term of the sequence?
ar = 2.41-2
Enter your answer in the box.
HELPPPP!!!!
Answer:
32
Step-by-step explanation:
Substitute n = 4 into the formula
[tex]a_{4}[/tex] = 2 × [tex]4^{4-2}[/tex] = 2 × 4² = 2 × 16 = 32
Identify the law illustrated by: 4(3x-7) is equivalent to 12x-28.
Answer:
Distributive law of multiplication
Step-by-step explanation:
Answer:
Step-by-step explanation
A: No it is not the inverse law of multiplication which has something to do with division.
B: is your answer.
C: It is not the commutative Law. An example of that would be a*b =b*a
D: Identity of multiplication is 1.
find the volume of the sphere centered at O length of CO is 4.5 cm
Answer:
V=4/3 πr3
I belive it is.
Answer:
V=121.5pi cm^2
Step-by-step explanation:
V=(4/3)*pi*r^3
V=(4/3)*pi*91.125
V=121.5pi cm^2
What is the 8th term of the geometric sequence with this explicit formula?
an= 6.(-2)(n-1)
Answer:
- 768
Step-by-step explanation:
Substitute n = 8 into the explicit formula, that is
[tex]a_{8}[/tex] = 6 × [tex](-2)^{7}[/tex] = 6 × - 128 = - 768
find (fof)(0) f(x)=x^2
a.1
b.0
c.-8
d.-1
Answer:B
f(0)=0
Step-by-step explanation:
when 0 is squared it’s just 0
Answer: option b.
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=x^2[/tex]
In order to find [tex](fof)(x)[/tex], the first thing you must do is to substitute the function f(x) into the same function f(x). Observe the procedure:
[tex](fof)(x)=(x^2)^2[/tex]
Now, you need to simplify:
[tex](fof)(x)=x^4[/tex]
Finally, to find [tex](fof)(0)[/tex] you need to substitute [tex]x=0[/tex] into [tex](fof)(x)=x^4[/tex], then you get:
[tex](fof)(0)=(0)^4[/tex]
[tex](fof)(0)=0[/tex]
Calculate the monthly finance charge if the average daily balance is $20, the daily periodic rate is 0.05%, and the number of days in the cycle is 30.
Answer:
$ 0.30
Step-by-step explanation:
Given:
Average daily balance = $20
Daily period rate = 0.05%
Number of days in a cycle = 30 days
The formula to calculate the monthly Finance Charge is:
Monthly finance charge = Balance x APR x (Number of days)/365
We are given the Daily period Rate which is calculated as:
Daily period rate = APR/365
Therefore, we can write the above equation as:
Monthly finance charge = Balance x Daily Periodic Rate x Number of days
Using the given values, we get:
Monthly finance charge = 20 x 0.0005 x 30 = $ 0.30
Therefore, the monthly finance charge would be $ 0.30
Answer:
The answer is $0.30 or 30 cents
Step-by-step explanation:
From the question Given, we recall the following statement
The monthly finance charge if the average daily balance =$20
The daily periodic rate is =0.05%
The number of days in the cycle is =30
We solve for the monthly finance charge
We apply the monthly Finance Charge formula:
Monthly finance charge = Balance x APR x (Number of days)/365
Thus,
20 x 0.05% = 0.01
0.01 x 30 days = 0.30
Therefore the monthly finance charge is = $0.30 or 30cents or 30¢
27. A watch cost $75.99. If the sales tax
rate is 6.25%, what is the amount of
sales tax?
A $0.48
B $2.19
C $4.75
D $474.94
Step-by-step explanation:
75.99 ×.0625=4.749
75.99+4.75(because I rounded)=
$80.74 total cost incase you have another step
75.99 ×.0625 = 4.749
I rounded to get 4.75.
75.99 + 4.75 = $80.74
$80.74 - $75.99 = $4.75
Answer: $4.75
1/2 , 5/16 , 30/64 , 3/8 , 9/12 in order from least to greatest
1/2, 3/8, 5/16, 9/12, and 30/64. Hope this helped!
Answer: 1/2, 9/12, 3/8, 5/16, 15/32
Step-by-step explanation:
(divide 3) 9/12 (divide 3)
=3/4
(divide 2)30/64 (divide 2)
=15/32
What is a fade out transition? A. A scrolling transition B. A transition that happens in the middle of a frame C. A transition that happens as a frame appears D. A transition that happens as a frame disappears
Answer:
It's between C and D. I would say it's D.
Step-by-step explanation:
Hope my answer has helped you!
By: Syrenity Holford
The graph below plots the values of y for different values of X:
Which correlation coefficient best matches the data plotted on the graph? (1 point)
Answer:
0.50
Step-by-step explanation:
we know that
Observing the graph
we have the following points
(1,3),(2,4),(3,9),(4,7),(5,2),(6,18)
Using a Excel tool (Correl function)
The correlation coefficient is equal to r=0.605639
see the attached table
therefore
The correlation coefficient that best matches the data plotted on the graph is 0.50
Solve for z :2x+6yz=2xz+2y
Answer:
z = [tex]\frac{y-x}{3y-x}[/tex]
Step-by-step explanation:
2x+6yz=2xz+2y (rearrange so that z is on one side)
6yz - 2xz = 2y - 2x (divide both sides by 2)
3yz - xz = y - x (factor our z from LHS)
z (3y - x) = y - x
z = [tex]\frac{y-x}{3y-x}[/tex]
what is the area of a triangle with a base of 7 cm and a hight of 4 cm
Answer:
14 cm²
Step-by-step explanation:
Using the formula given to calculate the area
with b = 7 and h = 4, then
A = [tex]\frac{1}{2}[/tex] × 7 × 4 = 0.5 × 28 = 14 cm²
Let v=−3i
v
=
−
3
i
and w=2−4i
w
=
2
−
4
i
. Find v−w
v
−
w
.
Answer:
-2 + i
Step-by-step explanation:
v = -3i
w = 2 - 4i
v - w =
= -3i - (2 - 4i)
= -3i - 2 + 4i
= -2 + i
The given value of v = -3i and w = 2-4i, so v-w = -2 + i.
Given: v = -3i, w = 2-4i
To find: v - w
Solution:
Substitute the values of v and w into the expression v - w.
v - w = -3i - (2-4i)
v - w = -3i - 2 + 4i
v - w = -2 + i
Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. If her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2128.00, what is her total monthly payment? a. $2,248.75 b. $2,409.75 c. $3,381.00 d. $3,577.00 Please select the best answer from the choices provided
Answer:
a) $2248.75
Step-by-step explanation:
Susan pays $0.3 per $100
For $483000, she pays $1449 insurance annually : Calculation shown below
483000/100 x 0.3 = $1449
Monthly instalments of the insurance premium for 12 months :
annual insurance premium/ 12 months
1449/12 = $120.75
Monthly mortgage payments = $2128
Monthly total payments = monthly mortgage payments + monthly insurance premium instalment.
= 1449 + 120.75
= $2248.75
!!
What is the result when the number 25 is decreased by 20%?
Answer:
20
Step-by-step explanation:
100% - 20% = 80%.
80% of 25 = 25 x 0.8 = 20
When the number 25 is decreased by 20%, the result is 20.
Explanation:To find the result when the number $25 is decreased by 20%, we need to calculate 20% of 25 and subtract that from 25.
20% of 25 is (20/100) x 25 = 5.
Subtracting 5 from 25, we get the result as 20.
Learn more about percentage decrease here:https://brainly.com/question/29763752
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What is the value of x?
[tex]x+40=3x\\2x=40\\x=20[/tex]
For this case we have by definition of angles between secant lines that:
[tex]x + 40 = 3x[/tex]
Also, the angle between T and V is equal to the angle between S and W.
Returning to the question, we have to:
[tex]x + 40 = 3x[/tex]
We must know the value of "x":
Subtracting 3x on both sides of the equation we have:
[tex]x-3x + 40 = 0[/tex]
Subtracting 40 from both sides of the equation:
[tex]-2x = -40[/tex]
Dividing between -2 on both sides of the equation:
[tex]x = \frac {-40} {- 2}\\x = 20[/tex]
So, the value of x is 20
Answer:
[tex]x = 20[/tex]