Answer:
w = 10
l = 50
Step-by-step explanation:
Formula of Perimeter: w + w + l + l or 2w + 2l
l = 5w
2l + 2w = 120
2(5w) + 2w = 120
10w + 2w = 120
12w = 120
w = 10
l = 5(10)
l = 50
Check:
2l + 2w = 120
2(50) + 2(10) = 120
100 + 20 = 120
120 = 120
Hope This Helps!
Lets denote our variables as:
x the width of the rectangle5x the length of the rectangleThe formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:
2(x) + 2(5x) = 120
2x + 10x = 120
12x = 120
x = 120/12
x = 10 m → Width of the rectangle
Substituting in the length:
5x = 5(10) = 50 m → Length of the rectangle
The length of the rectangle is 50 m and its width is 10 m.
Write an integer for the situation: 1,464 feet above sea level
Answer:
The answer is 1,464.
The answer will be -1,464, when 1464 is "below sea level".
I hope it help you...
Comment trouver les valeurs à mettre dans une table de valeurs selon le problème?
Answer:
How to find the values to put in a table of values according to the problem?
Step-by-step explanation:
The expression (x^3)(x^−17) is equivalent to xn. What is the value of n?
Answer:
-14Step-by-step explanation:
(x^3)(x^−17) =x^(3 - 17) =x^-14n = -14n = -14
(x^3)(x^−17) =
x^(3 - 17) =
x^-14
please help, will give brainlist
(x-2)(x-1) use the distributive property
please explain as well!
Answer:
Step-by-step explanation:
(x-2)(x-1)
You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.
You get x^2-x-2x+2 then combine terms.
x^2-3x+2
Answer:
x² - 3x + 2
Step-by-step explanation:
(x-2)(x-1)
xx - x - 2x + 2
x² - 3x + 2
Find the sum of the following nine products: 1 × (10 – 1), 2 × (10 – 2), 3 × (10 – 3), … , 9 × (10 – 9)
Answer:
9, 16, 21, 9
Step-by-step explanation:
I hope this help and it was going in order
Answer:
165
Step-by-step explanation:
We solve the first 5
1*(10-1)=9
2*(10-2)=16
3*(10-3)=21
4*(10-4)=24
5*(10-5)= 25
and notice
when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so
You add the first 5 integer you solved up
9 16 21 24 25 = 95
and then you double it no extra 25
and then you get 165 = answer
A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can the ladder reach the wall? Round to the nearest tenth of a foot
Answer:
11.8 feetStep-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
Anybody know the slope to this?
Which lists all of the x-ontercept of the graphed function 0,6
Answer:
The answer is C, because those are the points that cross the x-axis.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
When you look at the graph, you can see that all the points are listed where they should be
(x+1)(x+5)≤0
Solve and write solution in interval notation
Answer:
just multiply first x+1 to x+5 then add and subtract
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
What’s 14/4 as a decimal
Answer:
3.5
Step-by-step explanation:
You would do 14 divided by 4! Hope this helped
Answer:
3.5
Step-by-step explanation:
14 divided by 4 equals 3.5
please help!!!!!!!!!!!
Answer:
x= 40
Step-by-step explanation:
The reason this is so is because a straight line's degree is always 180. And 4(40)-20=140 and 180-40=140. This is how you would work out the right side. This gives you your answer.
Answer:
40
Step-by-step explanation:
[tex]x + 4x - 20 = 180 \\ 5x = 180 + 20 \\ x = 200 \div 5 \\ x = 40[/tex]
please mark as brainliest
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
What is the missing term in the trinomial expression below?
(2x+2)(7x+8)=14x2+_______+16
A. 14x
B. 30x
C. 9x
D. 5x
Answer:
14 i hope this leads you into the good
what’s 8.43 x 10^7 in standard form?
What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?
(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2
What is the equation of the line of symmetry for the parabola represented by the equation y=−x^2+2x+6?
Answer:
the answer would be t56 im guess ing along with x
Step-by-step explanation:
The line of symmetry for the parabola represented by the equation is
x = 1.
What is a parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given an equation of a parabola, y = -x²+2x+6
Factorizing the equation, we get,
x = 1+√7 or x = 1-√7
We know that the line of symmetry of a parabola is equal to the x-coordinate of the vertex of the parabola.
We also know that the x-coordinate of the vertex of a parabola is equal to the average of zeros. So the x-coordinate of the vertex of the parabola would be:
(1+√7 + 1-√7)/2 = 1
Hence, the equation represents the line of symmetry of the given parabola is x=1.
For more references on parabola, click;
https://brainly.com/question/21685473
#SPJ1
The amount of seed in a bird feeder decreases 10.8 ounces in 5 days. The amount of seed decreases the same amount each day. What is the change in the amount of seed in the feeder in 7 days?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
A man can run 3 miles in 60 minutes.
The time to run 1 mile is 20 minutes.
We have,
The rate at which the amount of seed decreases.
10.8 ounces = 5 days
Divide both sides by 5.
10.8/5 ounces = 1 day
Multiply 7 on both sides.
7 x 2.16 ounces = 7 days
15.12 ounces = 7 days
This means that in 7 days, the amount of seed decreases by 15.12 ounces.
Thus,
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?
Answer:
The puppy's adult weight would be 25 lbs.
Step-by-step explanation:
5 / .20 = 25
To check:
25 x .20 = 5
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
please help find the top angle
Answer:
130 degrees
Step-by-step explanation:
So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:
25 + 25 + 4x + 2 = 180
4x + 52 = 180
4x = 128
x = 32, now we have x so replace the x in the equation with 32
4(32) + 2
128 + 2
130
Divide 1.75 × 10^-2 by -7.3 × 10^-8. Express your answer in scientific notation. Round the coefficient to two decimal places.
Answer:
-2.4 · [tex]10^{5}[/tex]
Step-by-step explanation:
can someone help me this is algebra 1
Jada is buying a car and the cost is c + 400 = 36,000 where c is the price of the car and 270 is the registration fee but in the end 36000 was paid.
c + 400 = 36,000
1. Avery multiplies both sides of the equation by 2 while her brother Jaxon adds 2,000 to both sides of the equation. Will both moves leads to the SAME solution for the equation? Ensure math evidence is shown or included in your response when you explain your reasoning.
2. What is the solution?
Answer:
hi do You have tiktok?mm
use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.
PLS HELP
Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!
Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP
Does 80/100 equal -8
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
Opposite sides are supplementary? True or False ?
Answer:
It's true!
Step-by-step explanation:
I hope I helped!
Answer:
False because they are congruent
Step-by-step explanation:
Expand and simplify (x + 3)(x-4)
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
A gym is selling monthly memberships for $35 each and reusable water bottles for $9 each. The gym
needs to make $1188 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1188, where m is the number of
monthly memberships sold, and w is the number of reusable water bottles sold.
Answer:
x = gym memberships, and y = bottles of water
30x + 7y = 1050.....when x = 28
30(28) + 7y = 1050
840 + 7y = 1050
7y = 1050 - 840
7y = 210
y = 210/7
y = 30....so he would have to sell 30 water bottles
Step-by-step explanation:
Answer:
1188=35m+9w
Step-by-step explanation: