Answer: [tex]6ft < x < 30ft[/tex]
6ft is less then x and x is less then 30ft
Step-by-step explanation:
The possible length of the third side is 7 < x < 29.
What is a Triangle?Polygon which has three sides and three vertices are called a triangle.
The sum of all the angles of the triangle is 180°.
Given:
The lengths of the other two sides of a triangle are 11 feet and 18 feet.
Let the third side's length is x feet.
The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.
That means,
18 + 11 > x.
And 11 + x > 18.
So, we have a possible choice,
11 + 18 < x
Simplifying,
29 < x.
Arranging in better terms,
x > 29.
Another possible choice,
18 -11 < x
7 < x
Combining both inequalities,
we get,
7 < x < 29.
Therefore, 7 < x < 29.
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If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?
A)x=5
B)x=31
C)x=6
D)x=4
Answer: x = 5
Step-by-step explanation:
Based on the information, the number is x= 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Consider that the number be x.
Given that;
Tripling the number we get = 3x.
On subtraction from 28, the equation will be: 28 - 3x.
Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.
Now equating these two equations as;
28 - 3x = 2x + 3
Rewriting the equation as;
3x + 2x = 28 - 3
Now, addition on Left Hand Side and subtraction on Right and Side
5x = 25
x = 25 ÷ 5
Performing division on Right Hand Side, we get;
x = 5
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Mathematical sentences can be combined with or or and to make compound sentences.
True
False
another oneee thanks strangers
Answer:
*8
Step-by-step explanation:
6.75*8=54
Answer:
8
Step-by-step explanation:
..…..............…...
Find the value of x and y.
Answer:
X=63 y=27
Step-by-step explanation:
X and 117 are on a straight line. All straight lines = 180 degrees.
180 - 117 = 63
90 - 63 = 27
what value of x satisfies the equation?
Answer:
I don't know the answer but you can type it in on demos
Answer:
The value of x = 0
Step-by-step explanation:
Got a 5/5 on Plato
Solve for input of Function given outpu
Answer:
1
Step-by-step explanation:
Let's solve your equation step-by-step.
6=3x+3
Step 1: Flip the equation.
3x+3=6
Step 2: Subtract 3 from both sides.
3x+3−3=6−3
3x=3
Step 3 divide 3/3 = 1
x=1
10/4 = a/6
What does "a" equal?
Answer:
15
Step-by-step explanation:
10/4 simplified is
5/2 multiply this by 3
15/6
Step-by-step explanation:
I suggest you to use calculator for this to avoid careless mistakes
Hope this is correct and helpful
HAVE A GOOD DAY!
Calvin bought 6 ties for $19.50 each and three shirts for $23.50 each. how much did he spend?
HELP PLZZZZ like asap
Answer:
The answer is B
Step-by-step explanation:
✌
Answer:
B
Step-by-step explanation:
You can substitute the variables for the values!
7x = 21
3y = -6
2x = 6
y = -2
21 - (-6)
----------
6 + (-2)
27
----
4
the city of west park has population of 11,000 people. it’s population is decreasing at the rate of 4.5% each year. find the population in 25 years
9514 1404 393
Answer:
3479
Step-by-step explanation:
Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...
11000 · 0.316289 ≈ 3479
The owner of the theater where the ticket price for an adult is $10 and the ticket price for a child is $7 wants to make at least $300 when a movie is shown. Choose the inequality that shows the numbers of tickets that must be sold.
A. 10x + 7y > 300
B. 10x + 7y < 300
C. 10x + 7y ≥ 300
D. 10x + 7y ≤ 300
Answer:
A
Step-by-step explanation:
Someone help with this please
Answer:
the answer is discrete
this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend
Step-by-step explanation:
Question 2
5x + 2y = 4
9x + 2y = 12
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
Step-by-step explanation:
the answer is 24:8
Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?
Answer: 150 wpm
Step-by-step explanation:
if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.
1500/10 = 150
Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
Simplify the expression:
-9n + -2n
Answer:
-11n
Step-by-step explanation:
You have to combine like terms
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Can someone help me please I need help
9514 1404 393
Answer:
1. yes
2. no
Step-by-step explanation:
We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.
1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.
[1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15) ⇒ -4x +11y = -5
2×[1] is 2(-x +2y) = 2(10) ⇒ -2x +4y = 20
These resulting equations match the ones proposed for the equivalent system.
yes, the systems are equivalent
__
2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.
[1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6) ⇒ -13x -10y = 8
no, the systems are not equivalent
(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)
A football team moved -8 yards on one play, then lost another 4 yards on the next play. How many total yards did the football team move on those two plays?
Answer:
12 yards
Step-by-step explanation:
you subtract negative 8 and 4 and it gives you twelve yards of the play
Pls help due ASAP....
Pls show workings.
Answer:
We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
d = 8.06 milesStep-by-step explanation:
From the coordinate plane, we can clearly identify that:
Sandy's Hotel is located at the point (-8, 9)Trader Joes' Store is located at the point (-4, 2)The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:
[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
The distance between (-8, 9) and (-4, 2)
[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]
[tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]
[tex]=\sqrt{4^2+7^2}[/tex]
[tex]=\sqrt{16+49}[/tex]
[tex]=\sqrt{65}[/tex]
[tex]=8.06[/tex] miles
Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
d = 8.06 milesIn parallelogram EFGH if GJ=15 find JE.
F
E
H
Answer:
15
Step-by-step explanation:
So point j is the midpoint of both of the diagonals in the parallelogram.
That means that JE=GJ
So the answer is 15
What is the coefficient of 7x?
I need to know ASAP
Answer:
The coefficient of 7x is 7
Please please help me!!!!
9514 1404 393
Answer:
yy+8y-2Step-by-step explanation:
We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...
volume = y(y² +6y -16)
Now, we're looking for factors of -16 that have a sum of +6.
-16 = (-1)(16 = (-2)(8) = (-4)(4)
The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...
volume = y(y -2)(y +8)
The possible dimensions are y-2, y, and y+8.
7. Se llevó a cabo una encuesta de mercado para calcular la proporción de amas de casa que reconocerían el nombre de la marca de un limpiador a partir de la forma y color del envase. De las 1 400 amas de casa de la muestra, 420 identificaron la marca por su nombre. a. Calcule el valor de la proporción de la población. b. Construya el intervalo de confianza de 99% de la proporción poblacional. c. Interprete sus conclusiones.
Answer:
a) El valor de la proporción de la población = 0.3
b) El intervalo de confianza de 99% de la proporción poblacional = [0.2685, 0.3315]
c) Interprete sus conclusiones.
De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".
Step-by-step explanation:
a) Halla el valor de la proporción de la población.
El valor de la proporción se calcula mediante la fórmula
p = x / n
donde x = 420
n = número de muestras = 1400
Proporción (p) = 420/1400
= 60/200 = 30/100 = 3/10
= 0.3
b) Construya el intervalo de confianza del 99% para la proporción de población.
La fórmula para el intervalo de confianza para la proporción de población =
p ± z × √p (1 - p) / n
p = 0.3
z = puntuación z para un intervalo de confianza del 99% = 2.576
n = 1400
Por lo tanto:
Intervalo de confianza del 99% = 0.3 ± 2.576 × √0.3(1 - 0.3) / 1400
= 0.3 ± 2.576 × √0.3× 0.7 / 1400
= 0.3 ± 2.576 × 0.0122474487
= 0.3 ± 0.0315494279
Intervalo de confianza del 99% =
0.3 - 0.0315494279
= 0.2684505721
Aproximadamente ≈ 0.2685
0.3 + 0.0315494279
= 0.3315494279
Aproximadamente ≈ 0.3315
Por lo tanto, el intervalo de confianza del 99% = [0.2685, 0.3315]
c) Interprete sus conclusiones.
De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".
Aubree invested $16,000 in an account paying an interest rate of 5.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $45,600?
Answer:
t=18.7
Step-by-step explanation:
After 19.2 year the account reach $45,600.
What is Interest?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
We have,
P =$16, 000
R= 5.6%
Future value = $45, 600.
Now, using
16,000 (1 + 5.6%[tex])^x[/tex] = 45,600
(1 + 5.6%[tex])^x[/tex] = 2.85
Taking log on both side we get
x log (1.056) = log (2.85)
x= 19.2
Thus, the time taken is 19.2 years.
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Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars? 25p – 25p p – 25 p + 25
Answer:
p - 25
Step-by-step explanation:
Given :
Discount = 25 dollars off
Regular price = p
Sale price in dollars :
Regular price - discount
p - 25
how would you find arctan without a calculator?
Answer:
Tangent Inverse Function
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME???
Answer:
3
Step-by-step explanation:
The X values are the domain, and when x is -1, it says that y is 3, and y is the range.
Answer:
3
Step-by-step explanation:
Formula: y = -2x + 1
is 4x5 equivalent to 4x+9
Hurry hurry
No it is not equivalent
Answer: yes
Step-by-step explanation: