Answers
Answer: 6x+3y=12
x=-1/2y+2
Step-by-step explanation:
step 1: add -3y to both sides
6x+3y+-3y=12+-3y
6x=-3y+12
step 2: divide both sides by 6
6x/6=-3y+12/6
Answer:
y = 6 and x = -1.
Step-by-step explanation:
It's normally useful for me to rewrite the equation so they match. I'm using the substitution method.
First find out what "y" equals (I'm using the second equation):
Add 8 to both sides:
y - 8 = 2x
+8 +8
y = 2x + 8
Plug this into the previous equation.
6x + 3(2x + 8) = 12
Distribute first:
3(2x + 8)
3 * 2x = 6x
3 * 8 = 24
6x + 24
Rewrite the equation:
6x + 6x + 24 = 12
Find liked terms.
6x + 6x + 24 = 12
They are liked terms so combined them: 6x + 6x = 12x.
Rewrite the equation again:
12x + 24 = 12
Solve for "x".
Subtract 24 on both sides.
12x + 24 = 12
-24 -24
12x = -12
Divide 12 to get x by itself.
12x = -12
12
x = -1
Plug x into the second equation to find y.
y - 8 = 2(-1)
y - 8 = -2
Add 8 to both sides.
y - 8 = -2
+8 +8
y = 6
The answers are y = 6 and x = -1.
Related Questions
In a recent year, the annual salary of the governor of new York was $179,00. During the same year, the annual salary of the governor of Tennessee was $94,000 less. Write and solve an equation to find the annual salary of the governor of Tennessee (y) in that year.
Answers
Answer:
$85,000
Step-by-step explanation:
Given that, the annual salary of the governor of New York was $179,000.
Let $y be the annual salary of the governor of Tennesse during the same year.
As the annual salary of the governor of Tennessee was $94,000 less than the annual salary of the governor of New York.
So, the annual salary of the governor of Tennesse,
[tex]y=179000-94000[/tex]
[tex]\Rightarrow y=85000[/tex]
Hence, the annual salary of the governor of Tennesse during the same year was $85,000.
A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?
Answers
The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.
To calculate the time the person must leave the money in the bank until the money reaches 13200 dollars, we use the formula of compound interest below.
What is compound interest?This is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
Formula:
A = P(1 + r/100)ⁿ................ Equation 1Where:
A = AmountP = Principler = Raten = Time.From the question,
Given:
P = 7000 dollarsr = 5.5% componded monthlyA = 13200 dollarsSubstitute these values into equation 1 and solve for n
13200 = 7000(1+(5.5×12)/100)ⁿ(1+(5.5×12)/100)ⁿ = 13200/7000( 1.66)ⁿ = 1.886n = 2.9 yearsHence, The number of years it will take the person to leave the money in the bank until it reaches 13200 dollars is 2.9 years.
Learn more about compound interest here: brainly.com/question/18456266
Please help this is the 3rd time posting this today. Awarding 30 points.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
−−→
DF
bisects
∠EDG
. Find FG. The diagram is not to scale.
Answers
"FG = 14 is the answer
The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.
This implies that:
n + 9 = 4n - 6
Collect like terms
n - 4n = -9 - 6
-3n = -15
Divide both sides by -3
n = -15/-3
n = 5
✔️FG = 4n - 6
Plug in the value of n
FG = 4(5) - 6
FG = 20 - 6 = 14"
Write cos 23 degrees in terms of sine
Answers
Answer:
0.3907.
Step-by-step explanation:
Using trigonometric identities, we can write cos 23° in terms of sin 23° as, cos(23°) = √(1 - sin²(23°)). Here, the value of sin 23° is equal to 0.3907.
Answer:
what does international employment mean ? explain its important in any four points
plz halp muh wit my mathy math
Answers
Answer:
( -1/2) ^5
Step-by-step explanation:
We know that a^b* a^c = a^(b+c)
( -1/2) ^ 3 * ( -1/2) ^2
( -1/2) ^ (3+2)
( -1/2) ^5
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex] {( \frac{ - 1}{2}) }^{3} × {( \frac{ - 1}{2}) }^{2} \\
=>{( \frac{ - 1}{2}) }^{(3+2)}\\
=>{( \frac{ - 1}{2}) }^{5}\\
=> \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \\
=> \frac{ - 1}{32} [/tex]
[tex]{\huge{\pink{\underline{\underline{Formula\ used:}}}}}[/tex]
[tex]{a}^{x}×{a}^{y}={a}^{x+y}[/tex]1, 3, 7, 15, 31, .
What is the pattern
Answers
Answer:
Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.
Explanation
2(1)+1= 3
2(3)+1=7
2(7)+1=15
2(15)+1=31
Mr. and Mrs. Sanchez want to invest money for their
child's college education. They have decided to invest
$2000 initially. If the investment is in an account that
earns 8% annual interest, compounded yearly for 10
years, how much will their investment be worth at the
end of the 10th year? (Hint: $2000 is ao, think about a
as the value of the account at end of the 1st year.)
Answers
The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 8% per year compounded 1 times per year over 10 years is $4,317.85.
Given Data
Initial Amount = $2000
Annual interest rate = 8%
Time = 10 years
A = P + I where
P (principal) = $2,000.00
I (interest) = $2,317.85
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 2,000.00(1 + 0.08/1)(1)(10)
A = 2,000.00(1 + 0.08)(10)
A = $4,317.85
Learn more about compound interest here:
https://brainly.com/question/24924853
Need help finding the missing side of each triangle?
Answers
This is a right triangle. Use the Pythagorean theorem to solve:
x^2 + 5.8^2 = 15.6^2
x^2 + 33.64 = 243.36
Subtract 33.64 from both sides:
x^2 = 209.72
Take the square root of both sides:
x = 14.48171
Round to 1 decimal place:
x = 14.5 in.
Answer:
x = 14.5 in
Step-by-step explanation:
There is something called pythagoras' theorem. It states that
a^2 + b^2 = c^2,
a, b and c being sides of a right-angled triangle.
C is always the hypotenuse and a and b are any of the other two.
(The hypotenuse is always the longest side, and always opposite to the right angle, which is always the biggest angle of a right-angled triangle.)
So here we know two sides, the hypotenuse and another side. Let's substitute them into the formula:
5.8^2 + x^2 = 15.6^2
x^2 = 15.6^2 - 5.8^2
x^2 = 243.36 - 33.64
x^2 = 209.72
x = sqr209.72
x = 7sqr107/5 = 14.48171261 in
= 14.5 in (if rounded to 3 significant figures)
You could use a shortcut to do all this and find the answer more quickly:
a^2 = c^2 - b^2 or b^2 = c^2 - a^2
also:
a = sqr(c^2 - b^2)
x = Sqr(15.6^2 - 5.8^2)
= 14.5 in
A. If ΔABC is reflected across the y-axis, what are the resulting coordinates for points A', B', and C'?
B. Sketch the reflection on the coordinate plane.
Answers
Answer:
A' = (-1, 6)
B' = (-2, 1).
C' = (-5, 2).
Step-by-step explanation:
Reflection over the y-axis---> (a, b) transforms to (-a, b).
So A (1, 6) ---> A' (-1, 6).
Simplify by using radical. Rationalize denominators.
[tex]2a^{\frac{-1}{-2} }[/tex]
Answers
Step-by-step explanation:
First of all, [tex]\frac{-1}{-2}[/tex] is equal to [tex]\frac{1}{2}[/tex] because a negative divided by a negative is positive. So now we've got [tex]2a^\frac{1}{2}[/tex]. Well, a fractional exponent, when simplified, is a root. For example, [tex]x^\frac{1}{3}[/tex] is equal to [tex]\sqrt[3]{x}[/tex], and [tex]x^\frac{2}{5}[/tex] is equal to [tex]\sqrt[5]{x^2}[/tex].
Now this is where people make mistakes. Remember, [tex]2a^\frac{1}{2}[/tex] is really [tex]2*a^\frac{1}{2}[/tex], which means only a is raised to the exponent. We would only raise 2a to the power of [tex]\frac{1}{2}[/tex] if our term was [tex](2a)^\frac{1}{2}[/tex]. But since our term is [tex]2*a^\frac{1}{2}[/tex] we raise a to the power of [tex]\frac{1}{2}[/tex] which is the same as [tex]\sqrt[2]{a}[/tex] or just [tex]\sqrt{a}[/tex]. Then we multiply that result by 2 and we have [tex]2\sqrt{a}[/tex] which is fully simplified.
how to find perimeter of a rectangle if width is 2200m and length is 1.25km
Thanks
Answers
Answer:
6.90kmStep-by-step explanation:
width=2200m
length=1.25km
=1250m
perimeter of rectangle= 2(l+b)
=2(2200+1250)
=2×3450
=6900m
or 6.90km
Hope it will help.....Which function could produce the graph shown below?
A. f(x) = 4e^ 0.05x
B. Ax) = 4e ^ -0.5x
C. f(x) = 4e^ 0.5x
D. f(x) =4e ^ - 0.05x
Answers
Answer: the correct awnser is B. F(x)=4e ^0.5x
Step-by-step explanation: I know because I put it into calculator and found the awnser
The function that could produce the graph will be [tex]\rm y = 4 \ e^{-0.50x}[/tex]. Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
[tex]\rm y = a \ e^{bx}\\[/tex]
From the graph, at x = 0, the value of the function is 4. Then we have
[tex]\rm \\4= a \ e^{b\times 0}\\[/tex]
a = 4
Then the exponential equation is given as,
[tex]\rm y = 4e^{bx}[/tex]
From the graph, at x = 1, the value of the function is 2.426. Then we have
[tex]\rm 2.426 = 4 e ^b \\\\e^b = 0.6065[/tex]
Take natural log on both sides, then we have
b lne = ln 0.6065
b = - 0.50
Then the exponential equation is given as,
[tex]\rm y = 4 \ e^{-0.50x}[/tex]
The function that could produce the graph will be [tex]\rm y = 4 \ e^{-0.50x}[/tex]. Then the correct option is B.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
52 is 13% of what number?
Answers
Answer: 52 is 13% of 400
Hope this helps!
Answer:
Step-by-step explanation:
the answer is 400
To solve this problem you multiply 52 by 100 and then divide the total by 13 as follows: (52 x 100) / 13
Compare the following scores: A score of 75 on a test with a mean of 65 and a standard deviation of 8 A score of 75 on a test with a mean of 70 and a standard deviation of 4
A) A score of 75 with a mean of 70 and a standard deviation of 4 is better.
B) The two scores are statistically the same.
C) A score of 75 with a mean of 65 and a standard deviation of 8 is better
D) You cannot determine which score is better from the given information.
Answers
Answer:
The two scores are statistically the same
Step-by-step explanation:
Anton bought a cooler, His bill with tax was $7.95 he paid 6 percent sale taxes, how much did he pay for cooler alone without the tax?
Answers
Answer:
Anton's bill including tax =$7.95 , out of this 6% is sales tax. This implies 94%(100−6) of total bill accounts for cooler alone.
Step-by-step explanation: looked it up!
Jasmine biked 5 1/4 miles on Monday, 6 7/8 miles on Tuesday, and 8 1/2 miles on Wednesday. If he continues the pattern, how many miles will he bike on Friday?
*Step by step
Answers
Answer:
11 6/8 miles
simplify: 11 3/4 miles on Friday
Step-by-step explanation:
3. Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earns a base salary of $85 per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?
Answers
Answer:
1333.33
Step-by-step explanation:
125 + .18x = 85 + .21x
40 = .03x
x = 1333.33
Question 7 (1 point)
Problem 7, part b:
Two angles are similar.
A.
must be true
B.
could possibly be true
C.
definitely can't be true
Answers
B. Could possibly be true
Because, who knows? They could be, but they may not be.
Explain why a + b = d.
Answers
Answer:
lets just say a is 1 and b is 2 after adding them 3 which means c will form and after 3 four will come which means d
a + b = c because the sum of the measure of angle a and angle b is equal to the measure of angle c.
What is a triangle?A triangle is a closed plane figure formed by joining three noncolinear points. According to side property, there are three types of triangles isosceles triangles, equilateral triangles, and scalene triangles.
We know the measure of an exterior angle of a triangle is the sum of the two opposite interior angles of the given triangle.
As we can observe from the given diagram that ∠a, ∠b and ∠c are the interior angles of the given triangle ABC, and ∠d is the exterior angle which is opposite to ∠a and ∠b.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ5
Help the possible answers for the picture are 25, 49, 175, or 196
Answers
Answer:
175[tex]mm^{2}[/tex]
Step-by-step explanation:
Just divide the larger one by 7 because the scaled one is 1/7 the size of the larger one:
1225 ÷ 7 = 175
Pls consider giving me Brainliest! It would mean and help a lot! ; )
Answer:
175
Step-by-step explanation:
A city has two water towers. One tower holds 4.37 x 106 gallons of water and the other holds 3.92 x 106 gallons of water. What is the combined water capacity of the two towers?
17.13 x 1012 gallons
17.13 x 1012 gallons
1.11 x 100 gallons
1.11 x 100 gallons
8.29 x 106 gallons
8.29 x 106 gallons
.45 x 1012
Answers
Answer:
the answer is 1.713 x 106
Step-by-step explanation:
If QS is the angle bisector of
Answers
Lines p and q are parallel. Solve for x.
Answers
Answer:
3 x + 24
Step-by-step explanation:
Answer:
X=52
Step-by-step explanation:
3X+24=180
3X=180-24
3X=156
X=156/3
X=52
What is the percent of change from 100,000 to 20,000?
Answers
Step-by-step explanation:
100 % = 100000(1). x % = 20000(2). Therefore, 20000 is 20 % of 100000.
2 quarter’s=. Pints
Help
Answers
Answer:
2 quarts= 4 pints
Step-by-step explanation:
multiply the volume value by 2
WILL GIVE BRAINLIEST!!!!
What is the best fit line? How do you draw it?
Answers
Answer:
the line of best fit is the line that you would draw in the middle of a scatter plot to try and have the line best represent the scatter plot with the scatter plots angle and direction. this image is an example of one: (ignore the numbers) the line is a best fit line.
Step-by-step explanation:
mr clean
A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.
Answers
Both plans cost the same when 50 texts are sent
Step-by-step explanation:
Let
x ---->the number of texts
y ----> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
we have that
Emilia’s plan (Red line)
The slope is
The y-intercept is
substitute
----> equation A
Hiroto’s plan (Blue line)
The slope is
The y-intercept is
substitute
----> equation B
The solution of the system of equations A and B is the point of intersection both graphs
The intersection point is given
The intersection point is (50,22.5)
That means----> For x=50 texts, the cost is equal in both plans
Verify each statement
case a) Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
Verify
For x=100 texts ----> 100 > 50
Emilia's plans
Hiroto's plans
case b) Both plans cost the same when 22 texts are sent
The statement is false
Because
Both plans cost the same when 50 texts are sent
case c) Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
The statement is false
Because
Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent
case d) Both plans cost the same when 50 texts are sent
The statement is true
Answer:
Both plans cost the same when 50 texts are sent.
Step-by-step explanation: Took test edge 2020: D
I need a staight answer, A or B and why
Answers
Answer:
The answer is A
Step-by-step explanation:
You are not changing -14 into 14, you are just simply saying that you are adding more negative to -14, so instead of saying minus 6, you are saying adding -6. you are still going down on a number line either way.
Simplify 3+4y-y(9-2y)+5
Answers
Answer:
2y^2-5y+8
Step-by-step explanation:
that the answer :)
Answer:
2y2−5y+ 8
Step-by-step explanation:
hello people ~
Question:
A courtyard’s floor which is 50 m long and 40 m wide is to be covered by square tiles. The side of each tile is 2 m. Find the number of tiles required to cover the floor.
Answers
Hii
Length of floor⇢50m
Width of floor⇢40m
Area⇢50x40 = 2000m²
side of cube⇢2m
Area⇢2x2= 4m²
No. Of tiles required ⇢ 2000/4 = 500 tiles
Hope this helps :)
Brainliest?