Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2r + 3s = - 5 → (1)
6s = 2r → (2) ( divide both sides by 2 ), then
r = 3s
Substitute r = 3s into (1)
2(3s) + 3s = - 5
6s + 3s = - 5
9s = - 5 ( divide both sides by 9 )
s = - [tex]\frac{5}{9}[/tex]
Substitute this value into either of the 2 equations and evaluate for r
Substituting into r = 3s, then
r = 3 × - [tex]\frac{5}{9}[/tex] = - [tex]\frac{5}{3}[/tex]
Solution is r = - [tex]\frac{5}{3}[/tex] and s = - [tex]\frac{5}{9}[/tex]
If x = 39, y = 58, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth. 0.74 units 1.17 units 1.64 units 2.14 units
Answer:
1.64
Step-by-step explanation:
I'm taking the test rn
The difference in length between segments AB and AD is 1.63935 units.
We have given that,
If x = 39, y = 58, and the measure of AC = 4 units, what is the difference in length between segments AB and AD Round your answer to the nearest hundredth. 0.74 units 1.17 units 1.64 units 2.14 units.
What is the formula for the sign ratio?
[tex]sin(x)=\frac{Opposite \ side}{hypotenuse}[/tex]
sin 39=AC/AB
AB=AC/sin39
=4/sin39
[tex]=6.35606[/tex]
TO FIND AD:
sin 58=AC/AD
AD=AC/sin58
=4/sin58
[tex]=4.71671[/tex]
The is difference between AB and AD is the length
AB-AD=6.35606-4.71671
AB-AD= 1.63935 units
The difference in length between segments AB and AD is 1.63935 units.
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The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?
Answer:
4.09 m
Step-by-step explanation:
Let the length of the shadow cast by a person be x m.
[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]
If 3x+6=0, what is the value of X+7?
Answer:
5
Step-by-step explanation:
Because 3 x -2 -6 and -6+6=0 so -2+7 has to be 5
The required value of X + 7 is equal to 5.
An expression is given in the question ; i.e., 3x + 6 = 0
We have to find out the value of the 'X + 7'.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.
As per the question ;
The given expression is 3x + 6 = 0
Let's solve it to get the value of x.
i.e.,
3x + 6 = 0
3x = - 6
x = - 2
So ,
The value of X + 7 will be ;
= -2 + 7
= 7 - 2
= 5
Thus , the required value of X + 7 is equal to 5.
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Five and Six please help
Answer:
See Below.
Step-by-step explanation:
5.) A, C
6.) A, B, D
I need some help. If you can.
Answer:
[tex]2 \frac{59}{72}[/tex]
Step-by-step explanation:
3 3/8 = 3 + 3/8 = 24/8 + 3/8 = 27/8
then:
-5/9 + 3 3/8 = -5/9 + 27/8
= -40/72 + 243/72
= 203/72
203/72 = 144/72 + 59/72 = 2 + 59/72
= 2 59/72
you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up
Answer:
Step-by-step explanation:
1/10 * 1/4 = 1/14
1/2 because there is a 50/50% chance its either heads or tails
How many integers n are are such that (n + i)^4 is also an integer? I don't know how to solve this equation.
Answer:
n^4+ n^3&i + n^2*i^2 + n*i^3+i^4
In your own word explain how to simplify the following expression: 3-8(7-5n)
Answer:
Step-by-step explanation:
Equation at the end of step 1
3 - 8 • (7 - 5n)
STEP
2
:
Final result :
40n - 53
the market price of an article is rs 6000 13 percentage vat is levied after allowing 15 percent discount an the article what will be the price of the article find it also find the amount of vat
Answer:
[tex] \boxed{ \bold{ \sf{Price \: of \: the \: article = \: Rs \: 6678.3}}}[/tex]
[tex] \boxed{ \bold{ \sf{Vat \: amount = \: \: Rs \: 768.3}}}[/tex]
Step-by-step explanation:
Given,
Marked Price ( MP ) = Rs 6000
Vat percent = 13 %
Discount percent = 15%
▪️Finding the discount amount
Discount amount = Discount % of MP
= 15 % of 6000
= Rs 900
▪️Finding the selling price
Selling price ( SP )= Marked price - Discount amount
= Rs 6000 - Rs 900
= Rs 5910
▪️Finding the vat amount
Vat amount = Vat % of SP
= 13 % of 5910
= Rs 768.3
▪️Finding SP with VAT
SP with vat = SP + vat amount
= Rs 5910 + Rs 768.3
= Rs 6678.3
Hope I helped!
Best regards!
What equation represents the line that is perpendicular to 3x+2y=-4 and passes through the point (-6,0)?
Answer:
Step-by-step explanation:
2y = -3x - 4
y = -3/2x - 2
perp.:2/3
y - 0 = 2/3(x + 6)
y = 2/3x + 4
Make M the subject of the expression T=WPLM² - (M-S)²
Answer:
The answer is
[tex]M = \sqrt{WPLM^{2} - T } + S[/tex]Step-by-step explanation:
First move (M-S)² to the right side of the equation
That's
(M-S)² = WPLM² - T
Find the square root of both sides
That's
[tex]M-S = \sqrt{WPLM^{2} - T }[/tex]Move S to the right side of the equation to make M stand alone
We have the final answer as
[tex]M = \sqrt{WPLM^{2} - T } + S[/tex]Hope this helps you
Find the area of a triangle with a height of 9 cm and a base of 5 cm
Answer:
22.5 cm²
Step-by-step explanation:
Area of Triangle Formula: 1/2bh
Step 1: Define variables
h = 9
b = 5
Step 2: Plug into formula
1/2(9)(5)
1/2(45)
45/2
22.5 cm²
Answer:
22.5 cm^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 9 * 5
= 22.5 cm^2.
answer this plz and tank u
Answer:
3x+3
Step-by-step explanation:
You would just add the three sides so you would get x-3+x+x+6 and when you simplify you would get 3x+3 which would be the answer
Answer:
3x + 3
Step-by-step explanation:
x - 3 + x + x + 6
3x - 3 + 6
3x + 3
Find the value of x. A. 74 B. 78 C. 76 D. 84
Answer:
D
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.
The 2 arcs on the circle = 360°, thus
outer arc = 360° - 96° = 264° , then
x = [tex]\frac{1}{2}[/tex]( 264 - 96)° = [tex]\frac{1}{2}[/tex] × 168° = 84°
Answer:
D.) 84
Step-by-step explanation:
I got it correct on founders edtell
Create a table of points from the equation f(x)=3x2−8x+2.
Answer:
(See explanation below for further details)
Step-by-step explanation:
A second order polynomial (quadratic function) can be well represented with at least three distinct points. Let is take five equidistant different points:
x = 0
[tex]f(0) = 3\cdot (0)^{2}-8\cdot (0) +2[/tex]
[tex]f(0) = 2[/tex]
x = 1
[tex]f(1) = 3\cdot (1)^{2}-8\cdot (1)+2[/tex]
[tex]f(1) = -3[/tex]
x = 2
[tex]f(2) = 3\cdot (2)^{2}-8\cdot (2)+2[/tex]
[tex]f(2) = -2[/tex]
x = 3
[tex]f(3) = 3\cdot (3)^{2}-8\cdot (3)+2[/tex]
[tex]f(3) = 5[/tex]
x = 4
[tex]f(4) = 3\cdot (4)^{2}-8\cdot (4) + 2[/tex]
[tex]f(4) = 18[/tex]
The table of points from the equation [tex]f(x) = 3\cdot x^{2}-8\cdot x +2[/tex] is:
[tex]x[/tex] [tex]f(x)[/tex]
0 2
1 -3
2 -2
3 5
4 18
A graphic of the given function is included below as attachment.
The number of users of social media has increased significantly since the year 2001. In
fact, the approximate number of users has tripled each year. It was reported that in 2005
there were 3 million users of social media.
a. Assuming the number of users continues to triple each year, for the next three
years, deteriſnine the number of users in 2006, 2007, and 2008. (Hint: write your
answer in exponential form to help you solve the problem.
Exponential notation:
2006:
2007:
2008:
b. Assume the trend in the numbers of users tripling each year was true for all
years from 2001 to 2009. Complete the table below using 2005 as year 1 with 3
million as the number of users that year. (Think about it in negative exponents)
The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.
Complete question :
The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.
Dogs(d) - - birds(b)
40 - - - - - - 10
50 - - - - - - 8
Answer:
b = k/d ; 40
Step-by-step explanation:
From the table:
Dogs(d) - - birds(b)
40 - - - - - - 10
50 - - - - - - 8
The number of birds(b) in a park increases when the number of dogs (d) decreases.
Hence we can infer that an inverse relationship exists between them.
Number of birds(b) ∝ 1 / number of birds
b ∝ 1 / d
b = k/d
k = (b × d)
Where k is the proportionality constant
When d = 40, b = 10
Solve for k
k = (40 * 10)
k = 400
Therefore, number of birds(b), when there are 10 dogs;
b = k/d
k = 400, d = 10
b = 400 / 10
b = 40
40 birds when dogs = 10
Is that right? please help me brainlest go to the best answer...
Answer:
This is not a function.
Step-by-step explanation:
A function by definition will map one element of the domain to one element of the range. In this example, we would need one element of A to match one element of B for all elements of A.
Note, there are two elements in set A that map to one element in set B, while one element in set B has no mapping from any element in set A.
Cheers.
what is negative 10 multiplied by negative 9
Answer:
90 hehehhehhhe
Step-by-step explanation:
Answer:90because there are two negatives and that would make a positive believe u just multiply and ignore the negatives.:)
Step-by-step explanation:
Write the quotient as a mixed number.
98 divided by 3= 32 R2
Answer:
[tex]32\frac{2}{3}[/tex]
Step-by-step explanation:
Hello!
To put 32 R2 as a mixed number we put 32 as the whole number and the remainder over the divider which gives us,
[tex]32\frac{2}{3}[/tex]
The answer is [tex]32\frac{2}{3}[/tex]
Hope this helps!
The expression 98 divided by 3 to a mixed number is 32 2/3
How to change the quotient 98 divided by 3 to a mixed numberFrom the question, we have the following parameters that can be used in our computation:
Number = 98 divided by 3
Divide 98 by 3
so, we have the following representation
Quotient = 32
Next, we have
Remainder = 98 - 32 * 3
Evaluate the products
Remainder = 2
Hence, the fraction to a mixed number is 32 2/3
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PLEASE help me. I am stuck on this question for a long time.
Answer:
d
Step-by-step explanation:
On average, the high school students' times were lower, so the mean of the high school students' times was lower.
We don't know enough about the actual results to know any more than that.
Answer: d
Attention!!:Will give brainliest, plz put the right answer. 1.Tim wrote 16 as(-2)^4. Is he correct? Explain. 2.Could −2 be used as a base to rewrite 32? 64? Why or why not?
Answer:
Hey there!
Tim is correct. (-2)^4=-2(-2)(-2)(-2), which is 16.
-2 can be used as a base, because (-2)^5=32, and (-2)^6=64
Let me know if this helps :)
if T is the midpoint of SU, find the values of x and ST
T is the midpoint of the line, meaning that in line SU, line ST and line TU are of equal length, since T is at the middle of the line.
[tex]9x=4x+25[/tex]
[tex]5x=25[/tex]
[tex]x=5[/tex]
[tex]ST=9x[/tex]
[tex]ST=9*5[/tex]
[tex]ST=45[/tex]
Hope this helps. 頑張って!
Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more quickly, Benito has decided to add $1.00 per day to the amount Juan owes him. Juan also owes his brother, Tavon, $15.00. Tavon liked Benito's idea of charging additional money, but because he is Juan's brother, decided he would only charge $.50 per day. Write and solve an equation that shows the number of days it will take for Juan to owe Benito and Tavon the same amount of money
Answer:
Equation: 10+x= 15 +0.5x
Time: 10 days
Amount: 20$
Step-by-step explanation:
Equation for Benito:
10 + x*1Equation for Tavon:
15 + x*0.5Since the sums equalize at some time, we get:
10+x= 15 +0.5xx - 05x = 15- 100.5x = 5x= 5/0.5x= 10 daysAfter 10 days, Juan will owe both Benito and Tavon $20
15-8x Choose ALL of the statements that are TRUE. The factors are 8 and x. The coefficient is -8. The constant is -8. The terms are 15 and -8x. The coefficient is 15. The constant is 15.
Explanation:
The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.
What is k divided by 11 is 7?
Answer:
k = 77
Step-by-step explanation:
k ÷ 11 = 7
We can reverse the equation to 7 x 11 =k
Using the multiplication tables, we know that 7 x 11 is 77
Therefore:
k = 77
Plug it in:
77 ÷ 11 = 7
Answer:
77
Step-by-step explanation:
K ÷ 11 = 7
K = 7 × 11
K = 77
K is 77
evaluate the expression
Given g ( x ) = − 3 x − 4 g(x)=−3x−4, find g ( 5 ) g(5)
Answer:
g(5)=-19
Step-by-step explanation:
Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19
Answer:
g(5) = -19Step-by-step explanation:
[tex]g( x ) = -3 x -4\\\\g(5) = \:?[/tex]
Substitute 5 for x in the equation
[tex]-3(5)-4\\-15-4\\= -19[/tex]
Your friend claims to have drawn a regular polygon with sides 8 centimeters and a perimeter of 52 centimeters. Use the formula n=Ps to explain why your friend must have made a mistake.
Answer:
The formula should be n=P/s
Step-by-step explanation:
n=Ps is the perimeter multiplied by each side. If you want to find the perimeter of each side or (P) you have to divide it by each side (s). Each side should be 6 1/2 or 6.5 cm
Express the interval set builder notation
Answer:
{x | -1 < x ≤ 2}
Step-by-step explanation:
Interval given in the notation of (a, b) denotes,
Upper limit at 'b' and lower limit at 'a'
Sign () denotes the interval between a and b exclusive of the numbers a and b.
Interval given as [a, b] represents,
a = lower limit
b = higher limit
Notation of [] show the interval inclusive of these numbers.
Given set in the question is (-1, 2]
Here (-1) is the lower limit and 2 is the upper limit.
(] notation shows exclusive of (-1) and inclusive of 2.
Therefore, solution set in set-builder notation will be {x | -1 < x ≤ 2}