Answer:
Result:
The value of x = 12The value of y = 21Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
The value of x = 12The value of y = 21When sebatian weight his balikbayan box, its weight was 34 kg. When he got to the airport, he found out that the airline charge $5 for each lb in excess of the free baggage allowance of 50 lb. How much will sebatian pay for the excess weight?
Answer:
1 kg = 2.205 lb
34 X 2.205 = 74.97lbs
74.97 - 50 = 24.97
25 x 5 = $125
A rectangle has a perimeter of 22cm with a length of 10m. What is the width of one side?
Step-by-step explanation:
We know that
1m = 100cm
according to question
perimeter of rectangle = 2 (l+b)
22cm = 2 (100+b)cm
2×(100+b)cm = 22cm
100+b cm = 22/2cm
100+b cm = 11 cm
b = 100 -11 cm
hence, breadth = 89 cm .thanks for ask question.
Find the solution to the equation 30x +7= 9. Give
your answer as a fraction.
Determine the sum of the solution to the equation
[tex](y - 3)(y + 2) = 0[/tex]
Answer:
jhvcvghvrxthrcftgv
Step-by-step explanation:
hkhvyyiytvhjh
[36 + (3 x 2)] ÷ 6
can any one tell me the ans
Answer:
6+x
Step-by-step explanation:
hope this helps
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.
20 POINTS!!!
Write the algebraic expression or equation that represents the following word problem. **DO NOT EVALUATE OR SOLVE
Rene has a $50 gift card from a local coffee shop. Each day, he buys the same latte which costs $4.25. When will he have $11.75 left on his card?
Answer:
50-4.25x=11.75
Step-by-step explanation:
So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75
-11 + x = 7x - 5. PLEASE HELPP WHAT DISE X EQUAL
Answer:
x= -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Brainly plss?
Answer:
x=-1
use math papa calculator it helps :)
A rational number, by definition, is any number that can be written as a
or two integers.
O quotient
O difference
sum
product
Answer:
Two Integers
Step-by-step explanation:
Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3
Answer:
(-9,5) or x = -9 and y = 5
Step-by-step explanation:
Hope this helps!
The Gamez family goes out for dinner and the price of the meal is $63. The sales tax on the
meal is 6.5% and they leave a 20% tip on the pre-tax amount. What is the total cost of the meal?
BRAINLIEST! URGENT! Please help, I'm not quite good with functions. If you know that answer, please provide an explanation. Thank you.
Answer:
D
Step-by-step explanation:
It must be D because first of all you need the 1.01 because its a 1 percent increase and because when you write out what it would be for lets say 3 years it would be (310*1.01)*1.01)*1.01 so if we drop the parentheses because this is all multiplication you would have 310*1.01^3 which would be 3=t
Answer:
the pollen grain deposited were initially estimated at 310 with a annual increase rate of 1%
thus, there is an increase by 1.01 every year
for the first year after the year the grains were deposited there will be an increase of 310 (1.01)
similarly the following year will have an increase of 310(1.01)
(1.01) or 310(1.01)2-this 2 is a square
also the third, fourth, fifth....year will have an increase of 310(1.01)3-this 3 is a square, 310(1.01)4-this four is a square, 310(1.01)5-also this five is a square
respectively and thus, t years, there will be an increase of 310(1.01)t
ans:D
Note I did not did this I received help
A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that normally costs $24.
A. 24 - (0.25 x 24)
B. (0.75) x 24
C. (0.25 x 24) x 3
D. (0.25 x 24)
E. (24 + 0.25)
Answer:
A,B, and C
Step-by-step explanation:
25%of 24 is 6, 24-6=18(new price)
A.24-(0.25×24)=24-6=18
B.(0.75)×24=18
C.(0.25×24)×3= 6×3=18
Natalia paid $38.95 for three medium-sized pizzas and a salad. Solve an equation to find the cost of one pizza, p, if Natalia paid $11.98 for the salad. Enter your answer in the box.
Answer:
38.95= 3 p+11.98
38.95-11.98=3p
26.97/3.=p
$8.99= p
Step-by-step explanation:
hope this helps
Answer:
$8.99 per pizza so p = $8.99
Step-by-step explanation:
$38.95 - $11.98 = $26.97
$26.97/3 = $8.99 = p
I need help hurry!!
Show ur work pls 5-10
Answer:
5. [tex]y=\frac{1}{3}x-3[/tex]
6. [tex]y=\frac{1}{4}x+4[/tex]
7. [tex]y=-5[/tex]
8. [tex]y=x+5[/tex]
9. [tex]y=\frac{-1}{2}x+6[/tex]
10.[tex]y=-4x+2[/tex]
Step-by-step explanation:
5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]
6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]
[tex]y = \frac{1}{4} x+b[/tex]
[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]
7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]
[tex]y=-5[/tex]
8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]
[tex]y=x+b\\7=2+b\\b=5[/tex]
9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]
[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]
10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]
[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22,...
Step-by-step explanation:
-10, -14, -18, -22,...
[tex]a1 = - 10 \\ a2 = - 14 \\ d = a2 - a1 \\ d = - 14 - - 10 \\ d = - 14 + 10 = - 4 \\ an = a1 + (n - 1)d \\ a35 = - 10 + (35 - 1) \times ( - 4) \\ a35 = - 10 + 136 \\ a35 = 126[/tex]
Answer:
[tex]here \: a1 = - 10 \\ d = - 14 - - 10 = - 14 + 10 = 4 \\ a35 = a1 + 34d \\ a35 = - 10 + 34 \times 4 \\ = - 10 + 136 \\ = 126 \\ thank \: you[/tex]
HURRY PLZ!!!!!!BY 10:30
One inch is around 2 11/20 centimeters.What fraction of an inch is 1 centimeter?
A) 13/20
B) 17/20
C) 20/51
D) 20/11
Plz get this right!! for some reason it is worth 25 points on this test!! And it is a MIDTERM
Answer: C
Step-by-step explanation: Trust me on this ok?
I will give brainliest to the correct answer!
rearrange y=4-3x/x-5 to make x the subject
Answer:
x = [tex]\frac{4+5y}{y+3}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5
y(x - 5) = 4 - 3x ( distribute left side )
xy - 5y = 4 - 3x ( add 3x to both sides )
xy + 3x - 5y = 4 ( add 5y to both sides )
xy + 3x = 4 + 5y ← factor out x from each term on the left side
x(y + 3) = 4 + 5y ← divide both sides by y + 3
x = [tex]\frac{4+5y}{y+3}[/tex]
can y’all help me on this?
Answer:
Step-by-step explanation:
V=l*w*h
V=4* 2 1/2 * 3 1/2=4*5/2*7/2=35
Answer:
V=35
Step-by-step explanation:
V=Bh
v=volume
b=base(length & width)
h=height
V=(4)(2 1/2)(3 1/2)
V=(10)(3 1/2)
V=35
Guys I really need help on this please
Answer:
The answer is 26.2.
Step-by-step explanation:
To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we convert 70% into a decimal which is 0.70. then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.
Hope this helps!
write a subtraction
which crosses 100 and
has an answer of 18.
Explain your thinking.
In the figure, AC is perpendicular to DB.
Which of the following statements is TRUE?
Answer:
B. Angle 5 and Angle 6 are complementary
Step-by-step explanation:
Definition of complementary- either of two angles who sum is 90°
As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.
Angle DOC = 90°
Angle DOC = Angle 6 + Angle 5
Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.
Good luck!
Can somebody help me with this please
Answer:
Domain: [ 0,∞), {x|x ≥ 0}
Range: (-∞,-4], {yly ≤ -4}
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
X
459
3
45°
Find the value of x.
A V3
B. 3V2
2
2
Answer:
B.y-Step-bstep explanation:
ok so
the triangle has 3 angle
45-45-90
one 45 points to x
that means the other side is also x
the 90 degrees points to 3
3=x√2
x=2.12132
The value of x in the given diagram is 3√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle has 45-45-90 degrees.
We have to find the value of x in the given triangle.
The cosine function is ratio of the adjacent side by hypotenuse.
cos 45= 3/x
The value of cos 45 degrees is one divided by root 2.
1/√2 =3/x
Now apply the cross multiplication
x=3√2
Hence, the value of x in the given diagram is 3√2, Option C is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
Benjamin is going to drive from his house to City A without stopping. An equation that determines Benjamin's distance from City A tt hours after leaving his house is D=260-65t.D=260−65t. What is the slope of the equation and what is its interpretation in the context of the problem?
Given:
The Benjamin's distance from City A, t hours after leaving his house is
[tex]D=260-65t[/tex]
To find:
The slope of the equation and what is its interpretation in the context of the problem?
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m (coefficient of variable x) is slope and b is y-intercept.
We have, the equation
[tex]D=260-65t[/tex]
It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.
It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.
Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.
Answer:
The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.
Step-by-step explanation:
The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.
Have a good day :)
Katherine went to dinner with her mother that same day of shopping. their total bill was $34.80. the sales tax is 6%. if they left a 25% tip, how much was their total bill?
Tax- ?
Tip- ?
How much was their total bill with tax and tip added(hundredths place)
Answer:
45.58
Step-by-step explanation:
Tax is 2.08
Tip is 8.7
Hope this helped
What is (29-7) x 7^2+6
Answer:
used bedmas
Step-by-step explanation:
=(22)x49+6
= 1070+6
=1076
What is the slope of the line?
Answer:
-8/3
Step-by-step explanation:
-8/3
you count up from when the line intercepts a secure point that would be 8
then 3 over
its negative because it points down on the right