Answer:
Jamal will have to borrow 31,800.
Step-by-step explanation:
Total tuition for the full four years = 11,800 + 11,900 + 12,000 + 12,100 = 47,800
Total money from scholarship = 1,500 × 4 = 6,000
Total income received = 2,500 × 4 = 10,000
Total money to borrow = 47,800 - 6,000 - 10,000 = 31,800
6 cookies cost $3.60. What is the cost of 20 cookies?
Answer:
20 cookies - $ 12
Step-by-step explanation:
6 cookies - $3.60
20 cookies - X
X = (20 · 3,60) : 6
X = $ 12
Answer:
$12
Step-by-step explanation:
let the cost of 20 cookies= y
ok!!!
since 6 cookies ---------------$3.60
20 cookies will cost--------- y
making y subject
y= 3.60×20/6
y= 72/6=$12
therefore, 6 cookies will cost $ 12
IMPORTANT HELP PLEASE ANSWER IMMEDIATELY!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Type it out please!
Solve the following equation. Show all your work.
(x/(x−2))+((x−1)/(x+1))=−1
Answer:
[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]
Step-by-step explanation:
We are given and asked to solve the equation:
[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]
We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):
[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]
Simplify:
[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]
Expand and isolate:
[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]
Hence solve for x:
[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]
In conclusion, the solutions of the equation are x = 0 and x = 1.
what are these least to grates
1. 3.5
2. 3.715
3. 3.17
4. 3.571
5. 3.75
Stefan sells Jin a bicycle for $138 and a helmet for $18. The total cost for Jin is 130% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent
Answer:
1. $109.20 2. $46.80
Step-by-step explanation:
Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.
Good luck! Hope this helps!
A mining company is mining silver. The relationship between the mass of the material mined in metric tons and the number of carts required to transport the material is given by the function V(n) = 0.5n. Additionally, the relationship between the amount of silver and the material mined is given by the function G(V) = 0.00001V.
Which function can be used to determine the mass of silver in metric tons as a function of the number of carts required to transport the materials out of the mine?
A)G(V(n))
B)V(G(n))
C)n(G(V))
D)n(V(G))
Answer:
G(V(n))
Step-by-step explanation:
As V(n)=0.5nWhere V is carts and n is material
So vRnAnd
G(v)=0.00001VWhere G is silver found and v is material
GRvOn combininf
GRv =>(G,v)€RVRn=>(v,n)€RSo as per transitive property
GRn=>( G,n)€RR is relation
G is related to n
So G will stay outside and the relationship become GoV(n)
Carson grew up to be one of Texas most prominent real estate investor. Carson took $32,500 he made on the sale of a home and placed it in a new account that earns 6% compounded annually. Find the total amount after 5 years.
ps (delta math)
Answer:
$44,492.33
Step-by-step explanation:
Compound Interest Formula
A = P (1 + r/n)^(nt)A = amount of interestP = Principalr = interest rate (in decimals)n = number of times interest is compoundedt = number of yearsSolving
A = (32,500)(1 + 0.06/1)⁵A = (32,500)(1.06)⁵A = (32,500)(1.33822558)A = $44,492.33 (nearest cent)963.6 rounded to the whole number
Answer:
964.
Step-by-step explanation:
The first digit after the decimal point is 6 so we round up the 3.
The net of a cone is composed of a circle and a
triangle
wedge
triangle
Answer:
I would say triangle. But I am not completely sure!
Step-by-step explanation:
Hope this helps!
Answer:Triangle
Step-by-step explanation:
The four 4's chalenge, 1-20
Consider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)
A. x=3
B. x=4
C.x=5
D. x-6
Answer:
(5,4)
Step-by-step explanation:
What is the solution of two function?
The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.
How do identify the solution via graph.
We can identify the solution of a system of equations via graph by looking at where the two functions intersect.
Identifying the solution.
Looking at the graph, the two lines intersect at (5,4)
The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)
The rule is
If two lines are graphed then their solution is their intersection point .
Here both f(x) and g(x) are intersecting at
(5,4)So (5,4) is solution
Option C is correct
714 divided by 7
this will really help me!
(im bad at division)
Answer:
102
Step-by-step explanation:
So 714 divided by 7 = 102
Charles has 24 marbles. He has 6 more marbles than blue marbles. Which equation represents this situation.
LOOK AT THE PICTURE BELOW!
Answer:
n + (n + 6) = 24.
Step-by-step explanation:
Let him have n blue marbles, then he has n + 6 other narbles.
He has a total of 24 marbles, so:
n + (n + 6) = 24.
Answer:
B) n + (n + 6) = 24, where n is the blue marbles
Step-by-step explanation:
^^
what is the solution for x? 6(x+4)=3x-2
Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since he first purchased his house. for the past six months, rudy has completed some major improvements to his house to improve its overall value. if rudy successfully adds $50,000 to the value of his house, what will his new annual homeowners insurance premium be? a. $185.00 b. $315.00 c. $1,291.30 d. $1,351.14
If Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.
What is the annual homeowner's insurance premium?The annual homeowner's insurance premium is the insurance charge that the homeowner pays as an insurance premium annually.
The insurance premium is calculated using some set formulas determined by these factors:
Home's valueLocationCoverage ValueSafety featuresDeductibles.Data and Calculations:Insurance premium rate = $0.37 per $100
Current insurance premium = $1,106.30
Added value to the house = $50,000
Added premium = $185 ($50,000 x $0.37/$100)
New insurance premium = $1,291.30 ($1,106.30 + $185)
Thus, if Rudy successfully adds $50,000 to the value of his house, his new annual homeowner's insurance premium be c. $1,291.30.
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Answer:
it's C......................
Step-by-step explanation:
i got 100% on egde
A ball is thrown through the air, following a parabola: y= -x^2 + 4x + 4.
The land slopes upward: y = 0.5x + 2
1. Using the graph what is a solution to the system of equations?
( , )
2. What does the solution represent in this scenario?
a The point the ball reaches maximum height.
b The point where the ball meets the ground.
c The point where the ball is thrown.
Simplify this square root question
The simpliication of the expression is:
[tex]\frac{3 + 5x}{\sqrt{96}*x - \sqrt{x} }[/tex]
How to simplify the expression?
We have the expression:
[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }[/tex]
Remember two things:
[tex]\sqrt{x^2} = x\\\\\sqrt{A*B} = \sqrt{A} *\sqrt{B}[/tex]
So we can rewrite the expression as:
[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }\\\\\frac{3 + 5x}{\sqrt{96}x - \sqrt{x} }[/tex]
And we can't simplify the equation anymore than that, so we stop there.
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How do you write 7.4 × 10–2 in standard form?
Answer:
740
Step-by-step explanation:
10^2 = 100
So 7.4 * 10^2
= 740
The ratio of the distance around a circle, the circumference, to the distance across a circle, the diameter, is represented by the Greek letter a. If the circumference of a circle is 6.28 inches and the diameter of the same circle is 2 inches, what is the approximate value of a to two decimal places?
Answer:
3.14 inches
Step-by-step explanation:
diameter=2inches radius =1
The formula for circumference of a circle with radius r is 2πr.
The formula for the area of a circle with radius r is πr²
π≈3.14
So the radius of our circle is
6.28/2π
≈6.28/2×3.14=1
its area is πr²
≈3.14×1²=3.14
Solve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work
Answer:X=5
Y=
Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number
also here are some practice questions, ask me if you don't get them
would you please help me?
Answer:
52
x 6
300 6 x 5 tens
+12 6 x 2 ones
312
Which ordered pair is a solution of y=2x+5
(-2,1)
(-1,4)
(1,6)
(3,10)
......,.............
[tex]5 \times (3 \times (9 - (4 + 1))) + 20 \div 4 \times 2 [/tex]
Following BODMAS:
Brackets → Order → Division → Multiplication → Addition → Subtraction
Given Expression:
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
[first simplify following inside the brackets]
⇒ 5 × 12 + 20 ÷ 4 × 2
[then divide following]
⇒ 5 × 12 + 5 × 2
[multiply integers]
⇒ 60 + 10
[add integers]
⇒ 70
Answer:
70
Step-by-step explanation:
Solving by BODMAS :
BracketsOrdersDivisionMultiplicationAddition SubtractionGiven :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
Simplifying the brackets :
⇒ 5 × (3 × (9 - (4 + 1))) + 20 ÷ 4 × 2
⇒ 5 × (3 × (9 - 5)) + 20 ÷ 4 × 2
⇒ 5 × (3 × 4) + 20 ÷ 4 × 2
⇒ 5 × 12 + 20 ÷ 4 × 2
Dividing :
⇒ 5 × 12 + 20 ÷ 4 × 2
⇒ 5 × 12 + 5 × 2
Multiplying :
⇒ 5 × 12 + 5 × 2
⇒ 60 + 10
Adding :
⇒ 60 + 10
⇒ 70
Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27, ...
Answer:
times it bye 1.5 to get the next 8 terms
Step-by-step explanation: divide them all so 27.18 and 18/12 that will give you the same two answers thats what you times bye to get the next terms
The distribution of the number of words in text messages between employees at a large company is skewed right
with a mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages is selected,
what is the probability the sample mean is more than 10 words?
0.0210
0.2454
0.3724
0.9790
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The z score is given by:
z = (raw score - mean) / (standard deviation / √sample size)
Given mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages, hence, for x > 10:
z = (10 - 8.6) / (4.3 / √39) = 2.03
P(x > 10) = P(z > 2.03) = 1 - P(z < 2.03) = 1 - 0.9788 = 0.0212
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
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Answer:
A. .0210
Step-by-step explanation:
I'm taking the test... could be wrong though...
The ratio 5 girls to 3 boys in couris . there are 24 boys how many many girls are there
Answer:
40
Step-by-step explanation:
24 divided by 3 is 8. 8 multiplied by 5 is 40.
Give the following number
in Base 5.
1310 = [?]5
Expand 13 as 10 + 3.
10 = 2×5, so
13 = 2×5 + 3×1
or
13 = 2×5¹ + 3×5⁰ = 23₅
A person's salary is $2000 per month. 20% of this is spent on their rent, $590 is
spent on food and $650 on other expenses. DETERMINE the percentage of their salary
has he spent in total.
Answer:
the person earned one summer = $3,600
We have to show the amount in fraction that Paula spent during the following semester,
they spent for tuition = $2,500 = × 100
=0.6944 × 100
= 69.44%
they spent for rent = $650 = × 100
= 0.1806 × 100
= 18.06%
they spent for food = $430 = × 100
=0.1194 × 100
= 11.94%
they Spent in tuition, rent and food = 2,500 + 650 + 430 = $3580
Now they spent in miscellaneous expenses = 3600 - 3580 = $20.00 × 100
= 0.056 × 100
= 0.56%
4. Write 2 trinomials that when you add them together you will get 5x2 + 9x + 3.
Trinomial A
Trinomial B
An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,
Trinomial A = 3x²+5x+2
Trinomial B = 2x² + 4x + 1
Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.
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find the surface area of the cube
Sean has 3 times as many vegetable plants as Liz and Sejuan combined. Liz has 3 vegetable plants, and Sejuan has 2 vegetable plants. How many vegetable plants does Sean have?
Which statements about this word problem are true? Check all that apply.
A: This is an example of a part-whole problem.
B: This is an example of a comparison problem.
C: Addition then multiplication can be used to solve the problem.
D: Subtraction then division can be used to solve the problem.
E: Division then multiplication can be used to solve the problem.
Answer:
C: Addition then multiplication can be used to solve the problem
Step-by-step explanation: