Step-by-step explanation:
x = number of $50 bills
y = number of $100 bills
x + y = 20
50x + 100y + 500 = 100x + 50y
50y + 500 = 50x
y + 10 = x
now we use that in the first equation :
y + 10 + y = 20
2y = 10
y = 5
x = y + 10 = 5 + 10 = 15
so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet
Show all work to solve 2x2 +7x - 4 = 0
Heyy!!
2x2 + 7x - 4 = 0
4x + 7x - 4 = 0
11x - 4 = 0
11x = 4
x = 4/11
ANSWER: x = 4/11Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is
divided by 3x – 2.
-
Refer to attatchment.
Answer:
4x2+4x-5
Step-by-step explanation:
Hopes this helps
Plz markas brainliest
Shen borrowed $8000 at a rate of 17%, compounded quarterly. Assuming he makes no payments, how much will he owe after 6 years?
557.59 in terms of pi
what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76
C is the midpoint of PQ, if P is (4,m) , C is (n,-1) and Q is (-2,4) then m & n respectively are
Given points are P(4,m) and Q(-2,4)
Let (x1, y1) = P(4,m)
Where, • x1 = 4 and • y1 = m
Let (x2, y2) = Q(-2,4)
Where, • x2 = -2 and • y2 = 4
We know that
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
Mid point of the linesegment PQ
⇛M(x,y) = ( { 4+(-2)}/2 ,{m+4}/2)
⇛M(x,y) = {(4-2)/2 , {m+4}/2)
⇛M(x,y) = (2/2,{m+4}/2)
⇛M(x,y) = (1,{m+4}/2)
According to the given problem
Mid point of PQ = C(n,-1)
M(x,y) = C(n,-1)
(1,{m+4}/2) = (n,-1)
On Comparing both sides then
1 = n and (m+4)/2 = -1
n = 1 and m+4 = -2
n = 1 and m = -2-4
n = 1 and m = -6
Hence, the value of m&n will be (1&-6) respectively.
Additional comment:
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
also read similar questions: Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following pr...
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Multiply:
5m^3 n^5 (25m^6 n)
A. 125m^18n^10
B. 30m^9 n^5
C. 30m^9 n^6
D. 125m^9 n^6
Answer:
D
Step-by-step explanation:
5m^3 n^5 (25m^6 n)
-->5m^3*25n^6m^6
-->125m^9 n^6
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
89) no 90) yes 91) yes 92) yes 93) yes
Step-by-step explanation:
use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)
What is the value of the fraction below?
Answer:
undefined.......it's infinity
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
E
Step-by-step explanation:
1+2+2+1
Help me to solve this
Step-by-step explanation:
first we use Pythagoras to get t :
c² = a² + b²
with c being the Hypotenuse.
so,
t² = r² + s² = 10² + 31² = 100 + 961 = 1061
t = sqrt(1061)
and then we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with the angles being opposite of their related sides.
so, r/sin(R) = t/sin(T) = t/sin(90) = t/1 = t
sin(R) = r/t = 10/sqrt(1061) = 0.30700278...
R = 17.8786966... ≈ 17.9°
18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.
Answer: B
Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
Order these numbers from least to greatest.
2.406, 2.46, 2.2061, 2.2
Answer:
2.2, 2.2061, 2.406, and 2.46
What is the quotient of the following division problem?
71= 2 = ?
O A. 37 11
B. 35r1
O C. 35r2
O D. 34 r1
Answer:
35 remainder 1
Step-by-step explanation:
71 ÷ 2 = 35.5
The 35 is the whole number part of your answer. The .5 part of the answer is .5 of 2, which is 1
OR you can think that
35 × 2 =70. The 1 is the remaining part from 71.
What is the least common multiple of x^2-16 and
x^2+4x-32?
The least common multiple is the smallest expression that can be divided by both of the given expressions.
x^2 - 16 = (x - 4)(x + 4)
x^2 + 4x - 32 = (x + 8)(x - 4)
Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.
LCM = (x - 4)(x + 4)(x + 8)
Hope this helps! :)
Answer:
(x - 4)(x + 4)(x + 8)Step-by-step explanation:
Factorize the given expressions:
x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)The LCM is the product of all unique factors of both expressions:
(x - 4)(x + 4)(x + 8)A car travels a total distance of 380 miles in a total of 5 hours. The rate the car was traveling during
that time was
if v = 6i + 3j, what is ||-10v||
The values of ||-10v|| is 51.96 units
Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.The general form of a complex number is expressed as z = x + iy
Given the complex number v = 6i + 3j,
10v is expressed as 10(6i + 3j)
10(6i + 3j) = 60i + 30j
Take the modulus of the complex number:
[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]
Hence the values of ||-10v|| is 51.96 units
Learn more on the complex numbers here: https://brainly.com/question/10662770
Whta is the geometric mean of 5 and 36
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer: 13
Step-by-step explanation:√(5 × 36) = 13.416407865
3 + 12 + 48 + 192 + ...
Whats the answer
Answer:
3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers
Add them all up and you get
= 16383 Answer CStep-by-step explanation:
[tex]3, 12, 48, 192[/tex]
So from 3 to 12 is multiply by 4
So we have checked that it works for all of them
Rule:
Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number
I hope this has helped :)
find the slope
a line that passes between (-5, 8) and (2,4)
Answer:
Step-by-step explanation:
formula : m=(y2-y1)/(x2-x1)
(4 - 8) / (2 - - 5)
-4 / 7
m = -4 / 7 = -0.57143
Solve it (Easy question) :
[tex]\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }[/tex]
The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
The limit expression is given as:
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]
Express 25 as 5^2
[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]
Express the numerator as the difference of two squares
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]
Evaluate the quotient
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]
Remove bracket
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]
Substitute 1 for x
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]
Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
Read more about calculus at:
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Wildcat Pizza, Inc. is trying to decide whether to revise its target capital structure. Currently, it targets a 50-50% mix of debt and equity, but it is considering a target capital structure with 70% debt. Wildcat currently has 6% after-tax cost of debt and a 12% cost of common stock. The company does not have any preferred stock outstanding
A 6pint bucket of paint costs $28.44 what is the price per cup
Answer:
I think there answer is 4.74
Step-by-step explanation:
so you divide
[tex]6 \div 28.44 \: and \: you \: get \: answer[/tex]
Add the matrices. Help please
Answer:
D) [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Step-by-step explanation:
You basically add the corresponding entries for each row and column:
[tex]\left[\begin{array}{cc}1&-4&3&5\end{array}\right]+\left[\begin{array}{cc}-2&6&-2&4\end{array}\right]=\left[\begin{array}{cc}1+(-2)&-4+6&3+(-2)&5+4\end{array}\right]=\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Therefore, option D, [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex], is correct.
2 + 2 = 3
prove me wrong
Answer:
2+2=4................
Answer:
you are wrong because 2+2=4
There are 52 grams of carbs in 1/4 cup of syrup for a particular brand. How many carbs are in 1 tablespoons?
Round your answer to the nearest integer.
There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
There are 52 grams of carbs in 1/4 cup of syrup
Let's assume that the amount of carbs in 1 tablespoon is x.
So,
x = (52 × 4)
x = 208 grams.
To know more about arithmetic operations:
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Which function results in f(x)=13?
Answer:
The answer is B
Step-by-step explanation:
plug 2 into x to see
A.
x^2 + 8
2^2 + 8
4 + 8 = 12
B.
3x^2 + 1
3(2)^2 + 1
3(4) + 1
12 + 1 = 13
C.
2x^3 + 5
2(2)^3 + 5
2(8) + 5
16 + 5 = 21
D.
x^2 + x
2^2 + 2
4 + 2 = 6
How can you identify the number of solutions of linear equations?
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Mark me as brainlist plz :)
4. You have 36 pairs of running shoes. Let x be the
number of Nikes and y be the number of Adidas shoes
you own. You own twice as many Nikes as Adidas
shoes.
d
Write and solve a linear system of equations to find the
number of each brand of shoes.
Answer:
Nikes: 24 pairsAdidas: 12 pairsStep-by-step explanation:
The system of equations can be written ...
x + y = 36
x = 2y
__
The system can be solve by substituting for x:
(2y) +y = 36
y = 12 . . . . . . divide by 3
x = 2(12) = 24
There are 24 pairs of Nikes and 12 pairs of Adidas.