Answer:
Width of rectangle = 5 cm
Length of rectangle = 17 cm
Step-by-step explanation:
Let the dimensions of rectangle:
Width of rectangle = x
Length of rectangle = 3x+2
Area of rectangle = 85 cm
We need to find dimensions of rectangle i.e length and width.
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding dimensions
[tex]Area\:of\:rectangle=Length\times Width\\85=3x+2 \times x\\85=3x^2+2x\\The\;equation\:will\:be:\\3x^2+2x-85=0[/tex]
Now, finding value of x using quadratic formula:
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a =3, b =2 and c=-85
[tex]x=\frac{-2\pm \sqrt{(2)^2-4(3)(-85)}}{2(3)}\\x=\frac{-2\pm \sqrt{4+1020}}{6}\\x=\frac{-2\pm \sqrt{1024}}{6}\\x=\frac{-2\pm 32}{6}\\x=\frac{-2+ 32}{6}\:or\:x=\frac{-2- 32}{6}\\x=5\:or\:x=-5.6[/tex]
So, we get x = 5 and x = -5.6
But since the width of rectangle cannot be negative so, we would consider x = 5
Now, the dimensions of rectangle will be:
Width of rectangle = x = 5 cm
Length of rectangle = 3x+2 = 3(5) + 2 = 15+2 = 17 cm
100 points! I will mark brainliest! Only answer if you know it! Random answers WILL IN FACT be reported :)
Answer:
y = 1/2x - 8 this is it
Step-by-step explanation:
which postulate proves the two angles are congruent?
Answer:
HL (hypotenuse leg)
Step-by-step explanation:
They share a leg, meaning they must be an equal length, and the hypotenuse is congruent, so the hypotenuse leg theorem says they are congruent.
Happy Paws charges $22.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Write an equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
Answer:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
3.2 hours
Step-by-step explanation:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
22 + 4.50h = 11 + 5.75h
Collect like terms
22 + 11 = 4.5h + 5.75h
33 = 10.25h
Solve for h
33/10.25 = h
h = 3.22
help please n thank u
i’ll mark brainlist
Answer:
Slope = -1/4
Y-intercept = 50
Step-by-step explanation:
Change in y/ change in x = slope
75/-100 = -1/4
For y, the numbers decrease 25 each time so the change in y is -25.
For x, the numbers increase 100 each time so the change in x would be 100.
The fraction you have left is -25/100
Now, you simplify -25/100 and you get -1/4.
The y-intercept is 50 because x is 0 at the same time in the chart.
Martin has a total of 19 nickels (50.05) and dimes ($0.10) worth $1.65. How many of each type of coin does he have?
can put your work too
Answer: 19nickels and 7dimes.
Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.
Step-by-step explanation:
Ok so if you know that there are 19nickels, let n=number of nickels.
The number of total coins subtracted by number of nickels will give you number of dimes.
165-number of nickels=number of dimes
Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)
Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.
5(n)=5(19)=95
(165-95)/10=number of dimes
70/10=7dimes
You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.
algebraic form of the square of the sum of r and t.
The points in the table lie on a line. Find the slope of the line.
Answer:
slope: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula [tex]\frac{rise}{run}[/tex] to solve this.
- write your formula
[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
- plug in your numbers
[tex]m=\frac{4-3}{0-(-2)}[/tex]
- solve
[tex]m=\frac{1}{2}[/tex]
I hope this helps!
Pls help due asap!
Pls SHOW WORKINGS
Answer:
[tex]m\angle 1=95^{\circ}[/tex]
Step-by-step explanation:
If we drew an auxiliary line parallel to line [tex]p[/tex] and line [tex]q[/tex] that intersects the vertex of [tex]\angle 1[/tex], we would form three angles, one of them being
The largest of these angles corresponds with the angle marked as [tex]148^{\circ}[/tex].
The angle on the bottom right corresponds with the angle next to the one marked as [tex]63^{\circ}[/tex]. Therefore, its measure is [tex]180-63=117^{\circ}[/tex].
Since there are [tex]360^{\circ}[/tex] in a circle, we can now write the following equation:
[tex]m\angle 1+117+148=360,\\m\angle 1=\fbox{$95^{\circ}\checkmark$}[/tex].
Answer:
95
Step-by-step explanation:
The way SkiffMacKinaw did this problem is the way it should be done. There is another way of doing it by extending both arms of <1 until they intersect p and q and solve the triangle hanging from p.
You then find the the angles of the triangle. The vertex angle is the supplement to <1.
This method works but it is not nearly as elegant as the original answer. This is one of the best awarded Brainliests I've seen lately.
solve for b? please help me ASAP!!
Answer:
b = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle on the left.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 6² = 9²
b² + 36 = 81 ( subtract 36 from both sides )
b² = 45 ( take the square root of both sides )
b = [tex]\sqrt{45}[/tex]
A salesperson at a jewelry store earns 9% commission each week. Last week, Heidi sold $640 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answer:19.2
Step-by-step explanation:
I need serious help, this is hard
======================================================
Explanation:
M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.
Furthermore, we can say that PQ is twice as long as either piece, so
PQ = 2*PMPQ = 2*MQWe'll use the second equation to say the following:
PQ = 2*MQ
6x+56 = 2*MQ .... replace PQ with 6x+56
6x+56 = 2*(5x+8) .... replace MQ with 5x+8
6x+56 = 2*5x + 2*8 .... distribute
6x+56 = 10x+16
6x+56-10x = 16 .... subtract 10x from both sides
-4x+56 = 16
-4x = 16-56 ..... subtract 56 from both sides
-4x = -40
x = -40/(-4) ..... divide both sides by -4
x = 10
Once we know the value of x, we use it to find the length of PM
PM = MQ
PM = 5x+8
PM = 5*10+8
PM = 50+8
PM = 58
Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.
I need help with this plz
Answer:
c
Step-by-step explanation:
7/10
help appreciated.
How many hours of training would you need to have a salary of $2,000?
Answer: you will have 56
Step-by-step explanation:
Answer:
100 hours
Step-by-step explanation:
Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000
Given that
a = -2, b = 5 and c = -5
work out
2b - 3ac
Answer:
- 20
Step-by-step explanation:
Given the expression
2b - 3ac ← substitute given values for a, b and c
= 2(5) - (3 × - 2 × - 5)
= 10 - 30
= - 20
Answer:
-20 is the required answer
Step-by-step explanation:
2b-3ac
=2×5-3×-2×-5
=10-30
=-20
please help i am adding you to brainliest, 100% promise. please look at the picture
Answer:
The answer is c
Step-by-step explanation:
your welcome
Someone please help me
Which of the equations below has a slope of of 1/5 ?
I'm giving you the linear equation 3x + y = -6. Tell me the steps for how you'd graph the equation. Be as specific as possible.
Answer: okay
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope is : -3
Y-intercept is: (0,-6)
Choose the definition for the function.
Answer: C
Step-by-step explanation:
Find the value of x. Round to
the nearest tenth.
10
X
500
Answer:
88.16
Step-by-step explanation:
You will have to use tan to solve it
The value of x round to the nearest tenth is,
⇒ x = 85
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Base of height = 500
Angle = 10°
Now, We can formulate;
⇒ tan 10° = x / 500
⇒ 0.17 = x / 500
⇒ x = 85
Thus, The value of x round to the nearest tenth is,
⇒ x = 85
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
which one doesn’t represent a function?
At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Because Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers' parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings. Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do. Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.
Answer:
[tex]m = 200 + 20j[/tex]
[tex]r = 350 + 15j[/tex]
Number of jobs is 30
Step-by-step explanation:
Variable representation
Let Mark's total earnings for moving be m
Let Ryan's total earnings for moving be r
Represent the number of jobs with j
Setup equation
Mark:
[tex]Initial\ Savings = 200[/tex]
[tex]Rate = 20[/tex]
So, the total savings is:
[tex]m = 200 + 20j[/tex]
Ryan
[tex]Initial\ Savings = 350[/tex]
[tex]Rate = 15[/tex]
So, the total savings is:
[tex]r = 350 + 15j[/tex]
To get the number of jobs they save the same amount.
We have:
[tex]m = r[/tex]
Substitute values for m and r
[tex]200+20j = 350+15j[/tex]
Collect Like Terms
[tex]20j - 15j = 350 - 200[/tex]
[tex]5j = 150[/tex]
Divide both sides by 5
[tex]j = \frac{150}{5}[/tex]
[tex]j = 30[/tex]
Hence, the number of jobs is 30
Factor completely and check your answer:
Help!
Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
Mr. JB has a rectangular lot that measures 550 meters by 550 km. What is the area of the land in square meter. He i selling the whole lot for 206,250,000 pesos how much is the price per square meter?
9514 1404 393
Answer:
15/22 peso/m^2 ≈ 0.68182 peso/m^2
Step-by-step explanation:
The area is the product of the dimensions. 1 km = 1000 m.
A = (550 m)(550·1000 m) = 302,500,000 m^2
The price per square meter is ...
206,250,000/302,500,000 peso/m^2
= 15/22 peso/m^2 ≈ 0.68182 peso/m^2
The brown gerbil eats 30 pallets each day. The brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil. The family has 200 pallets of food left. For how many days can they feed both of the gerbils ?
Answer: 5 days
Step-by-step explanation:
Let the number of pallets that the tan gerbil eat be x.
Since the brown gerbil eats 10 less than 4 times the number of pallets as the tan gerbil and eats 30 pallets pee day. This will be:
(4 × x) - 10 = 30
4x - 10 = 30
4x = 30 + 10.
4x = 40
x = 40/4
x = 10
The tan gerbil eats 10 pallets per day.
Both gerbil eats (30 + 10) = 40 gerbils per day.
Since the family has 200 pallets of food left, the number of days that they can feed both of the gerbils would be:
= 200 / 40
= 5 days
What is the slope of this line
how do you work out the problem -1n+1=11
Answer:
-1n + 1 = 11
subtract 1 both sides
-1n = 10
-n = 10
n= -10
Step-by-step explanation:
$2000 is invested at a rate of 4.2% compounded annually. Identify the compound interest function to model the situation. Then find the balance after 7 years. A = 2000(1.042)^t; $2667.50 A = 2000(1.42)^4t; $2557.50 A = 2000(1.042)^t; $2337.50 A = 2000(14.2)^4t; $2447.50
Answer:
A = 2000(1.042)^t; $2667.50
Step-by-step explanation:
The formula or model for Compound Interest is given as:
A = P(1 + r/n)^nt
Where:
A = Amount or Balance after t years
P = Principal or initial amount invested = $2000
r = Interest rate = 4.2% = 0.042
t = Time in years = 7 years
n = Compounding frequency = Annually = per year = 1
Hence, the compound interest function to model for the situation (Question) with time t above is:
A = 2000(1 + 0.042) ^1 ×t
A = 2000(1.042)^t
Therefore solving for the balance
A = 2000(1.042)^7
A = 2,667.50
A = $2667.50
Therefore, option a =
A = 2000(1.042)^t; $2667.50
is the correct option.
Find the value of x.
Z
Y
11x – 10
80°
W
X
Answer: I think the value of x is 20 but im not sure
Step-by-step explanation:
no explanation here
Which is the radian measure of central angle KOL? StartFraction 3 pi Over 8 EndFraction radians StartFraction 3 pi Over 4 EndFraction radians StartFraction 7 pi Over 8 EndFraction radians StartFraction 13 pi Over 5 EndFraction radians
The above question is incomplete.
Complete Question
Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle KOL?
a) StartFraction 3 pi Over 8 EndFraction radians
b) StartFraction 3 pi Over 4 EndFraction radians
c) StartFraction 7 pi Over 8 EndFraction radians
d) StartFraction 13 pi Over 5 EndFraction radians
Answer:
b) StartFraction 3 pi Over 4 EndFraction radians
Step-by-step explanation:
Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii.
Note that:
π radians = 180°
Therefore,
180° = π radians
135° = x
Cross Multiply
180° × x = 135° × π radians
x = 135° × π radians/180
x = 3π/4 radians
Therefore, the radian measure of central angle KOL is 3π/4 radians. Option b) is the correct option.
Answer: B
Step-by-step explanation:
