Answer:
7/4 < x < 11/2
Step-by-step explanation:
PLATO
Inequality which ensure triangle exists is 22 > 4x > 7.
What is inequality ?
" Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Theorem used
In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
Substitute the value in the inequality to ensure triangle exists we get,
[tex]AB + BC > AC[/tex]
⇒[tex]2x + 4 + 6x > 18[/tex]
⇒[tex]8x > 18 - 4[/tex]
⇒ [tex]8x > 14[/tex]
⇒ [tex]4x > 7[/tex] ___(1)
[tex]AC + AB > BC[/tex]
⇒ [tex]18 + 2x + 4 > 6x[/tex]
⇒ [tex]22 > 6x-2x[/tex]
⇒[tex]22 > 4x[/tex] ____(2)
From (1) and (2) inequality of triangle we get,
[tex]22 > 4x > 7[/tex]
Hence, Inequality which ensure triangle exists is 22 > 4x > 7.
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Chef Morgan's restaurant has 24 tables 15 of the tables have one flower and each base the remaining tables have five flowers in each face how many flowers are there
The correct answer is
60 Flowers
To raise money for children's charity, a company is selling hot air ballons rides.The cost of going on a ballon ride is a flat rate of $50 plus $15 per hour of flight time.If Mrs.Beckham plans to donate at most $85,find the number of hours she can spend on a ballon ride.
To find the number of hours Mrs. Beckham can spend on a balloon ride, set up and solve an inequality using the given information.
Explanation:To find the number of hours Mrs. Beckham can spend on a balloon ride, we need to set up an equation using the given information. The cost of the ride is a flat rate of $50 plus $15 per hour of flight time. Let's assume the number of hours Mrs. Beckham can spend on the balloon ride is x. So, the equation becomes 15x + 50 ≤ 85. Now, we can solve this inequality to find the maximum number of hours.
Subtracting 50 from both sides gives us 15x ≤ 35. Dividing both sides by 15, we get x ≤ 35/15 which simplifies to x ≤ 7/3. Since x represents the number of hours and it cannot be negative, the maximum number of hours Mrs. Beckham can spend on a balloon ride is 2 hours.
Please help! Will give Brainliest!
Answer:
x= 15 or 15/1
Step-by-step explanation:
X or 15 times 1/3 equals 5. 5 times 4 equals 20.
Find the sum of the given polynomials.
3x 2 + 2x - 5 and -4 + 7x 2
1. -x2 + 9x - 9
2. 21x2 + 2x + 20
3. 10x2 - 5x - 1
4. 10x2 + 2x - 9
Answer:
the real answer is 10x^2 + 2x − 9
4 shirts for $32.00 rate and unit rate
Answer:
Rate: $32 per 4 shirts.
Unit rate: $8 per shirt.
Step-by-step explanation:
We have been given that 4 shirts for $32.00. We are asked to find the rate and unit rate for given situation.
The rate of the given scenario is $32 per 4 shirts.
To find the unit rate, we will divide total cost by number of shirts as:
[tex]\text{Unit rate}=\frac{\$32}{4\text{ shirt}}[/tex]
[tex]\text{Unit rate}=\frac{\$8}{\text{ shirt}}[/tex]
Therefore, unit rate is $8 per shirt.
Even though there’s a homework help button it doesn’t help me one bit I need help rn☠️
There are 10 marbles total.
You picked a marble and replaced it 50 times, so you have:
9/50 were purple
16/50 were orange
6/50 were yellow
19/50 were green
Multiply those by the number of marbles:
10*9/50 = 1 4/5 purple, round to 2
10*16/50 = 3 1/5 orange, round to 3
10*6/50 = 1 1/5 yellow, round to 1
10*19/50 = 3 4/5 green, round to 4
2+3+1+4 = 10
So you can say that there are 2 purples, 3 oranges, 1 yellow, and 4 green marbles.
A consumer analyst reports that the mean life of a certain type of alkaline battery is no more than 63 months. Write the null and alternative hypotheses and note which is the claim.
Solution-
The given statement,
the mean life of a certain type of alkaline battery is no more than 63 months.
Every hypothesis test carries two opposing statements, or hypothesis, about a population parameter. The first hypothesis is called the null hypothesis.
Null hypothesis always states that the population parameter is equal to the claimed value.
If the null hypothesis is rejected, then the alternative hypothesis is going to be claimed.
[tex]\text{Null hypothesis}=H_0:\mu =63[/tex]
[tex]\text{Alternative hypothesis}=H_1:\mu >63[/tex]
In this case, the alternative hypothesis is the claim.
The null hypothesis states that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis states that the mean life of the alkaline battery is less than 63 months.
Explanation:The null hypothesis, denoted as H0, is the statement that the mean life of the alkaline battery is 63 months or more. The alternative hypothesis, denoted as Ha, is the statement that the mean life of the alkaline battery is less than 63 months. The claim in this case is the alternative hypothesis Ha.
Which statement about this equation is true?
5(n+10)=5n+10n
The equation has one solution.
The equation has no solution.
The equation has a few solutions.
The equation has many solutions
Solve for x. x+2/3=−1/6 Enter your simplified answer in the box. x =
Im pretty sure your awnswer will be, x=−5/6
Subtract 2/3 from both sides.
x+2/3−2/3=−1/6−2/3
x=−5/6
Best of luck, terribly sorry if im wrong if i am my apologies
~Animaljamissofab ♥
help me plz !!!!!!!!!!!!!!!!
Which ordered pair is a solution of the equation?
y=-3x-4
Choose 1 answer:
(Choice A)
A
Only (-2,4)
(Choice B)
B
Only (-3,5)
(Choice C)
C
Both (-2,4) and (-3,5)
(Choice D)
D
Neither
Answer:
B.- Only (-3,5)
Step-by-step explanation:
In an ordered pair the first coordinate is the [tex]x[/tex] coordinate, and the second coordinate corresponds to the [tex]y[/tex] coordinate.
Then we must substitute the given value of [tex]x[/tex] in the equation and verify that we get in return the defined value for [tex]y[/tex].
the options are
[tex](-2,4)[/tex]in this one [tex]x = -2[/tex], and [tex]y=4[/tex], so let's confirm:
[tex]y=-3x-4\\y=-3(-2)-4\\y=-6-4\\y=2[/tex]this is not a solution since the [tex]y[/tex] values are not the same.
[tex](-3,5)[/tex]in this one [tex]x= -3[/tex] and [tex]y=5[/tex], let's also confirm:
[tex]y=-3(-3)-4\\y=9-4\\y=5[/tex]in this one the values for [tex]y[/tex] are equal, this is a solution for the equation.
2 x + y equals negative 9
Answer:
2 x + y = 9
Hope this helps :-)
are the fractions 3/5 and 12/15 equivalent or not and why
Well, the fraction 3/5 is in its simplest form, however, 12/15 is not. The fraction can be further simplified.
First, find out what the largest number that can fit into both the denominator (15) and numerator (12) perfectly. This number would be 3.
Next, divide 3 by 12 (which equals 4) and 3 by 15 (which equals 5). This gives you 4/5. The simplest form of the fraction 12/15.
4/5 is larger than 3/5, therefore the answer would be that they are not equivalent.
The fractions, 3/5 and 12/15 are not equivalent because they are not of the same value and are not equal.
Recall:
Fractions that are equivalent are equal regardless of their numerators and denominators.Thus, given the fractions, 3/5 and 12/15,
12/15 does not equal 3/5This is why:
12/15 when reduced further will give us: 4/5 if we divide both the denominator and numerator by 3.
Thus:
4/5 is not equal to 3/5Therefore, the fractions, 3/5 and 12/15 are not equivalent because they are not of the same value and are not equal.
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What is the correct factorization of x2 + 5x – 6?PICK THE RIGHT ONE (x – 1) (x + 6) (x + 1) (x – 6) (x – 2) (x – 3) (x – 2) (x + 3)
Hey there!!
Given equation :
... x² + 5x - 6
... x² + 6x - x - 6
... x ( x + 6 ) - 1 ( x + 6 )
... ( x - 1 ) ( x + 6 ) is the answer.
Hope my answer helps!!
true of false the first distribution shown below has a smaller standard deviation than does the second distribution. 11,12,13,14,15,16,17,18,19,20,21,22,111,112,113,114,115,116,117,118,119,120,121,122
false becasue 11,12,13,14,15,16,17,18,19,20,21, and 22 is bigger and 111,112,113,114,115,116,117,118,119,120,121, and 122 is smaller.
Answer:
False
Step-by-step explanation:
Standard Deviation is the square root of sum of square of the distance of observation from the mean.
[tex]Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}}[/tex]
where, [tex]\bar{x}[/tex] is mean of the distribution.
Here, First distribution is 11,12,13,14,15,16,17,18,19,20,21,22
and Second distribution is 111,112,113,114,115,116,117,118,119,120,121,122
The mean of first distribution is 16.5
and mean of second distribution is 116.5
So the standard deviation of first distribution is 3.605
and the standard deviation of second distribution is 3.605
Hence, standard deviation is same for both distribution.
Hannah reads at a constant rate of 3 pages every 8 minutes.
Write an equation that shows the relationship between p, the number of pages she reads, and m, the number of minutes she spends reading.
Answer:
[tex]m=\dfrac{8}{3}p[/tex]
Step-by-step explanation:
[tex]\begin{array}{ccc}3\ (pages)&-&8\ (min)\\p\ (pages)&-&m\ (min)\end{array}\qquad|\text{cross multiply}\\\\p\cdot8=3\cdot m\qquad|\text{divide both sides by 3}\\\\m=\dfrac{8p}{3}[/tex]
The equation is:
number of pages=reading speed×number of minutes
p = 3/8 × m
The correct answer is
p=3/8 m
In a 72 room, I poured 180 coffee into a mug at 7:30 am and it reached 150 after 2 minuter find the constant of cooling for the coffee.
13 + 11s = -15 + 8s − 20
Answer,
S = -16
Explanation,
Step 1: Simplify both sides of the equation.
13 + 11s = − 15 + 8s − 20
13 + 11s = − 15 + 8s + − 20
11s + 13 = (8s) + (− 15 + − 20) (Combine Like Terms)
11s + 13 = 8s + − 35
11s + 13 = 8s − 35
Step 2: Subtract 8s from both sides.
11s + 13 − 8s = 8s − 35 − 8s
3s + 13 = − 35
Step 3: Subtract 13 from both sides.
3s + 13 − 13 = − 35 − 13
3s = − 48
Step 4: Divide both sides by 3.
3s/3 = −48/3
s = -16
Hope this helps :-)
I need help on this one!!
We know 15 minutes contain 15*60 = 900 seconds, the time for 85 blinks
Then the time for each blink t = 900/85
Time elapsed in seconds for 51 blinks is then 51*t = 900*51/85 = 540 seconds
As the answer wants to know the seconds, find the seconds. 15 * 60 = 900. We know he blinks 85 times in 900 seconds, so divide 900 by 85 to find the rate at which George blinks. 900 / 85 = 10.588. Multiply 10.588 by 51 to find the number of seconds for 51 blinks. 51 * 10.588 = 539.988.
What is the answer?
Markers are sold in boxes, packs, or as single markers.Each box has 10 packs. Each pack has 10 markers
There are 100 markers in each box, since one pack has 10 markers, and there are 10 packs inside the box, so you'd simply multiply 10 times 10 to get 100
Well each box has 100
but I don't understand what answer you are talking about. Sorry
8. The amount of a person’s paycheck p varies directly with the number of hours worked t. For 22 hours of work, the paycheck is $126.50. Write an equation for the relationship between hours of work and pay.
First you would need to find out how much there are paid by the hour, which in this case is $5.75. So the equation would be 5.75t = p, then insert the 22 hours of work to the equation 5.75(22) = p, last solve the answer by mutiply the 5.75(22) which equals 126.50. .
fill in the blank to make the two fractions equivalent.
Lesson 7 add three digit numbers 178+99= estimate
178+99=277
you can estimate
200+100=300
or
180+100=280
depends on what your teacher is looking for
Our exact sum is 277.
Understanding Addition of Three-Digit Numbers
When it comes to adding three-digit numbers such as 178 and 99, it's essential to align the numbers by their place values before adding. This aligns ones with ones, tens with tens, and hundreds with hundreds. An estimate helps to quickly determine an approximate sum before or after performing the addition.
Example Calculation:
To add 178 and 99, place them in vertical alignment:
7 (tens) + 9 (tens) + 1 (carried over) = 17. Write down the 7, carry over 1 to the hundreds place.
1 (hundred) + 1 (carried over) = 2.
So, the sum is 277.
To estimate the sum of 178 and 99, you could round 99 up to 100 for easier calculation. The estimated sum would then be 178 + 100 = 278, which is very close to our exact sum of 277.
Sketch a graph that has the following characteristics
A. Crosses the Y axis at (0, 4)
B. Increases in the interval -12 ≤* ≤-2
C. Consistent in the interval -2 ≤* ≤2
D. Decreases in the 2 ≤* ≤12
Answer with explanation:
Draw the Coordinate plane, that is x y , plane and mark positive and negative natural number on both x and y axis.
⇒Meaning of increasing is, if ,
a > b, then f(a) > F(b)
⇒And, Meaning of decreasing is, if
a > b, then f(a) < f(b).
⇒Meaning of Consistent is
, Either of that is, a > b or a < b,
f(a) = f(b)
To sketch the graph, start on the y-axis at the point (0, 4). Then, increase the graph from -12 to -2, keep it consistent from -2 to 2, and decrease it from 2 to 12.
Explanation:To sketch a graph with the defined characteristics, follow these steps:
The point where the graph crosses the y-axis is (0, 4). Therefore, start your graph at this point.From -12 to -2, the graph increases. Feel free to choose the steep part of the curve, but ensure that it consistently goes up in this range.Between -2 and 2, the graph is consistent. That means it should neither go up nor down, ideally, your graph should be a straight line within this interval.Finally, in the interval from 2 to 12, the graph decreases. Again, you can decide how steep the curve should go, but ensure it is consistently moving downwards in this range.Learn more about Sketching a graph here:https://brainly.com/question/2263950
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George ran 1000 yards in gym class. how many kilometers did he run?
He ran 7 kilometers.
Compare and contrast these two forms of government:
- Autocracy
- Democracy
Compare and Contrast? Yay!
Autocracy
-People have no say in what the dictator or monarch does
-Barely any rights
Democracy
-People have many rights and much say
-Citizens many rights
In Common
-Both have a type of leader (demo.=Pres. auto.=dictator or monarch)
-Have two different types of it (demo.= direct and representative auto=dictatorship and monarcy)
Hope this helped :P
Autocracy and democracy are two forms of government that differ in power distribution and decision-making.
Explanation:AutocracyAutocracy is a form of government where power is concentrated in the hands of a single ruler or leader. In an autocracy, all major decision-making authority rests with this ruler, who typically exercises unlimited power. Examples of autocracies include absolute monarchies and dictatorships.
DemocracyDemocracy is a form of government where power is vested in the people, who exercise it through elected representatives. In a democracy, citizens have the right to participate in the decision-making process through voting and other forms of political participation. Examples of democracies include the United States and many European countries.
Comparison and ContrastAn autocracy and a democracy differ in terms of power distribution and decision-making. In an autocracy, power is concentrated in the hands of a single ruler, while in a democracy, power is distributed among elected representatives and the people. Autocracies often lack the system of checks and balances present in democracies, which can lead to abuses of power. Democracies, on the other hand, prioritize participation and representation, allowing citizens to have a say in the government.
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In one week, a campground rented 18 cabins at $225 each. About how much did they collect in rent altogether?
How do I describe each pattern in words
13, 23, 33, 43
Gotcha!
As a whole, the pattern is +10. 13 to 23 you add 10. 23 to 33 you add 10. 33 to 43 you add 10. That's the best explanation.
What is the difference between a linear function and a nonlinear function? And what each looks like when represented as a table and as a graph
A linear function has points leading up or down in more of a line. nonlinear is more scattered. Hope this helps!
Answer:
Sample Response: A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1. On a graph, the function must be a straight line to be linear.
A linear function has a constant additive rate of change.
A nonlinear function does not have a constant additive rate of change.
The graph of a linear function is a straight line, while a nonlinear graph is curved.
The dependent variable in a linear table has a constant additive rate of change as the independent variable increases by 1.
Step-by-step explanation:
Choose the point-slope form of the equation below that represents the line that passed through the point (6,-3) and has a slope of 1/2
A. Y-6=1/2(x+3)
B. Y=1/2x-6
C. Y+3=1/2(x-6)
D. X-2y=12
Answer:
C. y + 3 = 1/2(x - 6)
Step-by-step explanation:
y - y₁ = m(x - x₁)
x₁ = -3
y₁ = 6
m = 1/2
y - (6) = (1/2)(x - (-3))
y - 6 = 1/2(x + 3)
Answer:
C. y + 3 = 1/2(x - 6)
Step-by-step explanation: