Answers
Answer:
The answer is C: 3/4
Step-by-step explanation:
Your equation is equal to (3/2)/(4/2) due to absolute value (all numbers are positive even if negative symbol is infront of it) which is equal to 3/4.
Step-by-step explanation:
what is the real problem definition ?
is there now an absolute value around the top "-2", or not ?
in any case, remember, when we divide 2 rational numbers like this :
a/b / c/d
the result is
"outer multiplication" over "inner multiplication" :
a×d / b×c
as alternative you can always also say
a/b / c/d = a/b × d/c = a×d / b×c
so,
if the problem is
3/-2 / |-4/-2|
the result is
3×2 / 4×-2 = 6/-8 = - 3/4
if the problem is
3/|-2| / |-4/-2|
the result is
3×2 / 4×2 = 6/8 = 3/4
please pick the solution based on the actual problem.
Related Questions
Consider the following situations: (a) A survey of 18,87518,875 people aged 1818 to 2525 reported that 55.1U.1% drank alcohol in the past month. (b) In a study of work stress, 250250 restaurant workers were asked about the impact of work stress on their personal lives. (c) In a study of Monarch butterflies, 5555 milkweed plants in a Yosemite Valley were randomly sampled. The average number of Monarch eggs per plant was 0.73.was 0.73. Identify the population and sample for each of the situations.
1. 18.875 people age 18 to 25 2. All people aged 18 to 25 3. Proportion of 55.1% 4. All restaurant workers 5. 250 restaurant workers 6. 55 milkweed plants 7. All milkweed plants in Yosemite Valley 8. Average of 0.73
a. Population b. Sample
Answers
First statement shows sample ,second shows population, third shows sample, fourth shows population, fifth shows sample, sixth shows sample, seventh shows population, eight shows sample.
Given eight statements which shows the variables in research of alcholic consumption.
Population is anentire group about which we want to find the conclusions.
Sample is a part of population for which the conclusions are drawn. The size of sample may varry with the effectiveness and the confidence level needed.
First statement is a sample because it defines a number of people.
Second statement is a population as it shows all the people fro age 18 to 25.
Third statement is a sample as it defines a percentage of people.
Fourth statement is a population as it contains all the workers.
Fifth statement is a sample because it shows number of restaurant workers.
Sixth statement is a sample because it shows a definite number.
Seventh statement is a population as it includes all the milkweed plants.
Eight statement is a sample as it contains a definite percentage.
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A toy rocket is launched from a 1.4 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation
h= -4.9t² +9.1t+1.4. How long will it take for the rocket to hit the ground?
Answers
sub h=1.4
1.4=-4.9t²+9.1t+1.4
-4.9t²+9.1t=0
now factorise the equation
(t-13/7)(t)=0
t=13/7 or
t=0(reject, t must be >0)
Therefore, t=13/7s
The rocket will take 2 seconds for the rocket to hit the ground.
We have,
To find the time it takes for the rocket to hit the ground, we need to determine when the height, h, becomes zero (since the ground is at height zero).
Given the equation for the height of the rocket at time t:
h = -4.9t² + 9.1t + 1.4, we can set h to zero and solve for t:
0 = -4.9t² + 9.1t + 1.4
This is a quadratic equation in the form of at² + bt + c = 0,
where a = -4.9, b = 9.1, and c = 1.4.
To solve for t, we can use the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
Substituting the values:
t = (-(9.1) ± √((9.1)² - 4(-4.9)(1.4))) / 2(-4.9)
t = (-9.1 ± √(82.81 + 27.44)) / (-9.8)
t = (-9.1 ± √110.25) / (-9.8)
Now, we have two possible solutions for t:
t₁ = (-9.1 + √110.25) / (-9.8)
t₂ = (-9.1 - √110.25) / (-9.8)
Calculating these values:
t₁ ≈ -0.143
t₂ ≈ 2
Since time cannot be negative, the only meaningful solution is t₂ ≈ 2 seconds.
Thus,
The rocket will take 2 seconds for the rocket to hit the ground.
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Expand. (n^2 -3n +1)(2n + 3) =
Answers
Answer:
[tex]2n^3-3n^2-7n+3[/tex]
Step-by-step explanation:
[tex](n^2 -3n +1)(2n + 3) =\\n^2(2n) - (3n)(2n) + (1)2n + (n^2)(3) + (-3n)(3) + (1)(3)=\\2n^3 - 6n^2 + 2n + 3n^2 -9n + 3 =\\[/tex]
Collecting like terms and simplifying yields
[tex]2n^3-3n^2-7n+3[/tex]
Please help!! T-T Overdue~~~
Answers
Answer:
5√3
Step-by-step explanation:
An equilateral triangle is a triangle that has all same 3 measurements of 60°, and since all measurements are same, all sides are also equal too.
Hence, there'll be 3 sides that are 10 units. Since the base is divided into half, each will be 5 for base.
Then apply Pythagoras Theorem where states that:
[tex]\displaystyle{c=\sqrt{a^2+b^2}}[/tex] or [tex]\displaystyle{c^2=a^2+b^2}[/tex]
where c is hypotenuse, a and b can be defined either adjacent or opposite.
We know that our adjacent is 5 units, opposite is h unit(s) and hypotenuse is 10 units. Apply the theorem:
[tex]\displaystyle{10^2=h^2+5^2}[/tex]
Solve the equation for h-term:
[tex]\displaystyle{100=h^2+25}\\\\\displaystyle{100-25=h^2}\\\\\displaystyle{75=h^2}\\\\\displaystyle{h=5\sqrt{3} }[/tex]
Therefore, the height or value of h is 5√3
The picture is attached for visual reference regarding sides of triangle. If you have any questions, please let me know in the comment!
The list below gives the location of friends who are scuba diving together.
Mallory is exploring at an elevation of -25 feet.
Jacob is standing on the boat, at an elevation of 15 feet.
Eva just jumped in and is 5 feet below the surface of the water.
Which inequality correctly compares the distance of the scuba divers from the surface of the water?
Eva > Mallory
Mallory < Jacob
Jacob < Eva
Mallory > Eva
Answers
According to the information, it can be inferred that the correct inequality is Mallory > Eva (option D).
How to identify who is closer to the surface of the water?To identify who is closer to the surface of the water we must read the distance that each of the characters is.
In this case, the person closest to the surface is Eva, who is 5 feet from the surface.
Now we must identify which inequality corresponds to reality. In this case the inequality that is correct is:
Mallory > EvaThis inequality is correct because Mallory is further from the surface than Eva.
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find the mean of factors of 16
Answers
Answer:
The answer is 6.2
Step-by-step explanation:
The factors of 16 are 1,2,4,8, and 16.
get the sum of the factors which is 31, then divide it to number of the addends which is 5.
31/5 = 6.2
1,2,4,8,16
Mean: Sum of all the numbers divided by the amount of numbers in the list
1+2+4+8+16=21
21/5=4.2
Mean=4.2
what is m(angle) DCE
Answers
Applying the inscribed angle theorem, m∠CED = 34°.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, measure of inscribed angle DCE = 1/2(measure of intercepted arc ED).
m(ED) = 180 - 112 [semicircle]
m(ED) = 68°
m∠CED = 1/2(68°) [inscribed angle theorem]
m∠CED = 34°
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There are 12 sweets in a bag. The
probability of choosing a strawberry sweet
5
1
is 12, a cola sweet is and a raspberry
sweet is. What is the probability of
3
choosing either a raspberry or a
strawberry sweet? Give your answer in its
simplest form.
Answers
The probability of choosing either a raspberry or a strawberry sweet is 17/60.
Probability of choosing either a raspberry or a strawberry sweetLet the probability of choosing a strawberry sweet P(s) = 1/5Let the probability of choosing a cola sweet and a raspberry = 1/12
P(s) ∩ P(c) = P(s) x P(c) = 1/12
where;
P(s) is the probability of choosing a strawberry sweet P(c) is the probability of choosing a cola sweet1/12 = P(s) x P(c)
1/12 = 1/5 x P(c)
P(c) = 5/12
P(s) ∪ P(c) = 1/5 + 5/12 = 17/60
Thus, the probability of choosing either a raspberry or a strawberry sweet is 17/60.
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Area=
Please help, thanks so much
Answers
The area of LMNP is 6. 25 π^2
How to determine the areaArea of a rectangle = length × width
Circumference = 2 (length + width)
If circumference = 10 π
Let's find the length and width
10π = 2( L+ W)
10 π = 2(L + W)
10π = 2(L+ W)
L + W = 10π ÷ 2
L + W = 5π
Length = 2. 5π
Width = 2. 5π
Area = 2. 5π× 2. 5π
Area = 6. 25 π^2
Thus, the area of LMNP is 6. 25 π^2
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The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive?
ASAP
Answers
Answer:
ok so first they drove 55 for 3 hours so
55*3=165
and then they drove 45 for 2 hours
45*2=90
165+90=255
so in total they drove 255 miles
Step-by-step explanation:
Answer:
255 miles
Step-by-step explanation:
[tex]\boxed{\sf Distance= Speed \times Time}[/tex]
Journey before lunch:
Speed = 55 mphTime = 3 hrs[tex]\implies \sf Distance = 55 \times 3=165\: miles[/tex]
Journey after lunch:
Speed = 45 mphTime = 2 hrs[tex]\implies \sf Distance = 45 \times 2=90\: miles[/tex]
Total miles driven
= distance traveled before lunch + distance traveled after lunch
= 165 miles + 90 miles
= 255 miles
Therefore, the Ramos family drove 255 miles in total.
A baseball player makes 4 hits every 7 times at bat. At this rate, how many times did you hit if you hit 24 hits? 42 times 96 times 168 times 24 times
Answers
Answer:
42 times
Step-by-step explanation:
Here,
4 hits = 7 times
1 hits= 7/4 times
24 hits = 7/4 × 24
= 42 times.
The number of times that the baseball player makes the hit if he hit 24 hits is 42 times, which is an option (a).
Given that:
A baseball player makes 4 hits every 7 times at bat.
It is required to find the number of times that the player hits if he hit 24 hits.
Number of times that 4 hits are made = 7
Number of times that 1 hit is made = 7/4
So, the number of times that 24 hits are made can be found by the following formula.
Using the proportional concept, the number of times, N, is:
[tex]N=\frac{7}{4} \times 24[/tex]
[tex]=7\times6[/tex]
[tex]=42[/tex]
Hence, the correct option is (a).
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According to the synthetic division below, which of the following statements
are true?
Check all that apply.
54 -17 -15
20 15
3 0
4
A. (4x2-17x-15) - (x + 5) = (4x + 3)
B. The number 5 is a root of F(x) = 4x² - 17x - 15.
OC. (4x2-17x-15) - (x - 5) = (4x + 3)
D. (x+5) is a factor of 4x2-17x-15.
E. The number -5 is a root of F(x) = 4x²-17x-15.
OF. (x-5) is a factor of 4x2 - 17x-15.
Answers
The correct statements about the synthetic division are C, D, F.
How to illustrate the information?It should be noted that 4x² - 17x - 15 will be:
= 4x² - 20x - 3x - 15
= (x - 5)(4x + 3)
The roots of the polynomial will be:
= f(x) = 0
(x - 5) = 0
x = 5
4x + 3 = 0
x = -3/4
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Please Help Me Ill Appreciate Your Help Please And Thank You!
Answers
The student has to plug y=2x+4 into 3x+y=9 to solve for the system of equations
Answer:
Step-by-step explanation:
The friend solved
Consider the given solids with the dimensions shown. Which solids are similar? three cubes. Figure 1 has side lengths of 5 ft, figure 2 has side lengths of 7 feet, figure 3 has side lengths of 10 feet. Figures not drawn to scale A. only figure 1 and figure 2 B. only figure 1 and figure 3 C. only figure 2 and figure 3 D. all three figures
Answers
Answer:
D. all three figures
Step-by-step explanation:
A cube is a rectangular prism that has every edge equal in length to every other edge. This ratio of edge lengths holds for all cubes. Every cube is similar to every other cube.
ApplicationCubes with edge lengths of 5 ft, 7 ft, and 10 ft will all be similar. Any pair of corresponding edges of different cubes will have the same ratio.
The mass of the dust particle can be written in the form ax 100 kg, where a = ₁ and b =
The mass of the comet can be written in the form of a × 10b kg, where a =
and b
D
Submit
DELL
Answers
The dust particle is seen to have 400 times more mass than the pollen particle
How to use rule of exponents?We will use the scientific notation.
For example, 0, 002 can be written as:
2 × 10³
Where;
3 is the number of times the comma (,) must be run to the right to convert the quantity 0, 002 to 2.
0, 002
0| 0 0 2
0 0| 02 -----------1
0 0 0|2------------2
0 0 0 2| ----------3
Thus, for the given expression:
Powder particle 0.000000778 g
It can be written as: 0.0000008 g = 8 × 10⁻⁷
b = -7
In the same way
Pollen grain of 0.00000000155 g
It can be written as:
0.000000002 g = 2 × 10⁻⁹
To know how big the mass of the dust particle is with respect to the pollen, we have;
(8 × 10⁻⁷)/(2 × 10⁻⁹) = 400
Complete question is;
The table below shows the approximate masses of a dust particle and a grain of pollen.
Dust Particle 0.000000778 g
Grain of Pollen 0.00000000155 g
The mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b =
The mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b =
Based on the estimates, the mass of a dust particle is approximately BLANK
times larger than the mass of a grain of pollen.
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Please help ill give whoever answers the best the brainliest answer :)
Answers
Answer: The first answer choice
Step-by-step explanation:
In the first answer choice, the distance increases for two units, then decreases for three units. The distance then increased for 4 units, stayed level for 3 units, and then decrease slowly for 6 units. The graph exactly follows this trend.
The second answer is immediately wrong because it relates the distance between the car and the concert venue. It never mentioned that the car moved, and the venue obviously can't move.
The third answer says that after the first increase/decrease, Tyler went to go text his friends. However, the graph does not show a flat area after the first increase/decrease.
The fourth answer, like the second answer is immediately wrong because homes and schools can't move.
This is my first response, so I hope it was helpful. :D
Which of the following is most likely the next step in the series?
Answers
The next step in the series is option C.
How to solve for the steps in the seriesFirst we are presented by different shapes.
The first shape is a square. This shape has 4 sides.
The next shape is a pentagon, it has 5 sides.
The shape after the pentagon is a hexagon. It has 6 sides.
From here we can see that the shapes follow the pattern , 4, 5, 6 ..., the next shape should be 6 + 1 sides = 7 sides.
Hence the answer is option C.
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Solve for x.
3(x + 5)-2(x+2)=20
1
9
13
Answers
Answer:
the answer is 9
Step-by-step explanation:
if you use distributive property you'll find your answer
x = 9
Step-by-step explanation:
3(x+5)-2(x+2)=20
3x +15 - 2x - 4 = 20
3x - 2x = 20 + 4 - 15
x = 24 - 15
x = 9
Two points have the coordinates P (6, -3,9) and Q (3, -6, -3). A point R divides line PQ internally in the ratio 1:2. The position vectors of P, Q and Rare p, q and r respectively.
(a) Express the position vector of p and q.
i. In terms of p and q.
ii. In terms of i, j and k
(b) Hence state the coordinates of R.
Answers
Answer:
p = 6i -3j +9k
q = 3i -6j -3k
r = 2p +q
r = 5i -4j +5k
R(5, -4, 5)
Step-by-step explanation:
Given points P(6, -3, 9) and Q(3, -6, -3) and R that divides PQ in the ratio 1:2, you want ...
position vectors p and qr in terms of p and qr in terms i, j, and kthe coordinates of RPosition vectorThe vector from the origin to a point (x, y, z) will be ...
xi +yj +zk
where i, j, k are unit vectors in the direction of the x, y, and z axes, respectively.
Using this pattern, we find the position vectors p and q to points P and Q to be ...
p = 6i -3j +9k . . . . . . . . . . . . . position vector p
q = 3i -6j -3k . . . . . . . . . . . . . position vector q
DivisionPoint R divides PQ in the ratio 1:2, so its position vector will be the weighted sum of p and q:
r = (2p +q)/3 . . . . . . . . . . . . . . . . r in terms of p and q
Using the values of p and q from above, we find r to be ...
r = (2(6i -3j +9k) +(3i -6j -3k))/3 = ((2·6+3)i +(2(-3)-6)j +(2·9-3)k)/3
r = 5i -4j +5k . . . . . . . . . . r in terms of i, j, k
CoordinatesThe coordinates of R are the coordinates of the head of position vector r:
R(5, -4, 5) . . . . . . . . . . . . . coordinates of R
Two cell phone companies charge a flat fee plus an added cost for each minute or part of a minute used. The cost is represented by C and the number of minutes is represented by t.
Call-More: C = 0.40t + 25
Talk-Now: C = 0.15t + 40
a) Which company is cheaper if a customer talks for 50 minutes?
b) Under what conditions do the two companies charge the same?
Answers
Answer:
a) Call-more is cheaper
b) 60 minutes
Step-by-step explanation:
Call-More: C = 0.40t + 25
Talk-Now: C = 0.15t + 40
a) Substitute t = 50 minutes in the above equations.
Call-More:
C = 0.40*50 + 25
= 20 + 25
C = 45
Talk-Now:
C = 0.15*50 + 40
= 7.5 + 40
C = 47.40
Company Call-more is cheaper than Talk-now.
b) We have to find the conditions under what condition the two companies charge the same.
Charge of company Call-more = charge of company Talk-now.
0.40t + 25 = 0.15t + 40
0.40t = 0.15t + 40 -25
0.40t = 0.15t + 15
0.40t - 0.15t = 15
0.25t = 15
[tex]\sf t = \dfrac{15}{0.25}\\\\ t = \dfrac{15*100}{25}\\\\[/tex]
t = 15*4
t = 60 minutes
Two companies charge the same for 60 minutes.
What is the value of the expression below?
32^3/5
O A. 6/5
B. 6
O c. 96/5
O D. 8
Answers
Answer:
D. 8
Step-by-step explanation:
32^(3/5) is the same as [tex]\sqrt[5]{32}[/tex]^3.
[tex]\sqrt[5]{32}[/tex] = 2 because 2^5=32
2^3 = 8
Simplify the expression.
Rewrite 32 as 2⁵.
[tex]\bf{\left(2^{5}\right)^{\frac{3}{5} } }[/tex]
Apply the power rule and multiply exponents, (αᵐ)ⁿ=αᵐⁿ.
[tex]\bf{2^{5}^{(\frac{3}{5} )} }[/tex]
Cancel the common factor of 5.
Cancel the common factor.
[tex]\bf{2^{\not{5}}^{(\frac{3}{5} )} }[/tex]
Substitute the expression.
[tex]\bf{2^{3} \ \ \to \ Calculate \ power. }[/tex]
Raise 2 to the power of 3.
8 ===> AnswerWe conclude that the correct option is "D".
{ Pisces04 }Given that x and y are positive integers, solve the equation x² - 4y² = 13
Answers
=====================================================
Explanation:
Apply the difference of squares rule
x² - 4y² = 13
x² - (2y)² = 13
(x - 2y)(x + 2y) = 13
Since x and y are positive integers, this means x-2y and x+2y are both integers as well.
The value 13 is prime. Its only factors are 1 and 13
Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:
A) x-2y = 1 and x+2y = 13B) x-2y = 13 and x+2y = 1----------------
Let's consider case A
We have this system of equations
[tex]\begin{cases}x-2y = 1\\x+2y = 13\end{cases}[/tex]
Add the equations straight down
x+x becomes 2x-2y+2y becomes 0y = 0 which goes away1+13 becomes 14Therefore we have 2x = 14 solve to x = 7
From here, plug this into either equation to solve for y
x-2y = 1
7 - 2y = 1
-2y = 1-7
-2y = -6
y = -6/(-2)
y = 3
You should get the same result if you used x+2y = 13
----------------
Since we've found that x = 7 and y = 3, notice how case B is not possible
Example: x-2y = 13 becomes 7-2(3) = 13 which is false.
Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.
-----------------
Let's check those x and y values in the original equation
x² - 4y² = 13
7² - 4*(3)² = 13
49 - 4(9) = 13
49 - 36 = 13
13 = 13
The answer is confirmed.
Meghan drew a scale drawing of a city. A neighborhood park is 12 inches wide in the drawing. The actual park is 144 yards wide. What is the scale of the drawing? 1 inch = ______ yards.
Answers
Using proportions, it is found that the scale of the drawing is:
1 inch = 12 yards.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale is that 144 yards are represented by 12 inches, hence:
144/12 = 12
Then, 1 inch = 12 yards.
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Simplify using order of P
operations.
3² - (2 + 1)²
E
MD
AS
Answers
Answer:
o
Step-by-step explanation:
Order of operations. Left-to-Right prevails
P = parenthesis first
E = exponentiation
MD multiplication/division leftmost has higher priority
AS addition/subtraction leftmost first
1st computation: (2 + 2) because of P ==> 3
2nd Computation: 3² = 9
3rd computation (1+2)² = 3² = 9
Answer 9 - 9 = 0
A bowl holds three green and three black marbles. Three marbles are selected randomly. What is the probability that all three are green
Answers
The formula for Classical Probability.
The probability of a simple event happening is the number of times the event can happen, divided by the number of possible events. The “math” way of writing the formula is P(A) = f / N.
Without replacing drawn marbles:
Probability of drawing 3 green:
3/10*2/9*1/8=1/120
Probability of drawing 3 black:
4/10*3/9*2/8=1/30
Probability of drawing 3 green:
3/10*2/9*1/8=1/120
Adding these three: 6/120 =5%
If replacing marbles after each draw
Probability of drawing 3 black:
(3/10)^3=9/1000
Probability of drawing 3 green:
(4/10)^3=16/10000
Probability of drawing 3 black:
(3/10)^3=9/1000
Adding these three: 34/1000= 3.4%.
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the sum of perimeter of two similar polygons is 48cm,and the ratio of their corresponding sides is 1:3, find the perimeter of the larger polygon
Answers
Answer:
Step-by-step explanation:
Perimeter is the sum of lengths of triangles. Hence it's unit in
c
m
. Area has unit
c
m
2
i.e., length squared. So if measurements are in the ratio
3
:
4
, areas are in the ratio
3
2
:
4
2
or
9
:
16
. This is because the two triangles are similar.
A total area is
75
square centimeters, we need to divide it by the ratio
9
:
16
Of which first will be the area of the smaller triangle.
Hence the area of the smaller triangle is
75
×
9
9
+
16
=
75
×
9
25
=
75
3
×
9
25
1
=
27
square centimeters
The area of larger triangle would be
75
×
16
9
+
16
=
3
×
16
=
48
square centimeters
Please help meee! im confused!
Answers
f(x)=y=√x looks something like this:
(4,2)
(9,3)
(16,4)
Whilst your graph is much higher slope, for lack of better term
Rules of transformation
f(x)+b - function is shifted b units upward (up y-axis)
f(x)-b - function is shifted b units downward (down y-axis)
f(x+b) - function is shifted b units to the left (negative x-axis)
f(x-b) - function is shifted b units to the right (positive x-axis)
-f(x) - function is reflected over x-axis
f(-x) - function is reflected over y-axis
bf(x) - vertical stretch for |b| > 1, vertical shrink for 0< |b| <1
f(bx) - horizontal shrink for |b| > 1, horizontal stretch for 0< |b| <1
**INVALIDATE my answer, as statements were given 10 mins after posted**
Answer:
The graph is translated to the left by 3
Step-by-step explanation:
the equation would be y= sqrt(x)+3
Choose the equation that represents a line that passes through the point (1,5) and has undefined slope.
Answers
Answer:
x = 1
Step-by-step explanation:
A line with undefined slope is a vertical line with equation
x = c
where c is the value of the x- coordinates the line passes through
the line passes through (1, 5 ) with x- coordinate 1 , then
x = 1 ← equation of line
To make a small vase, elisa uses no more than 4.5 ounces of clay. to make a large vase, she uses at least 12 ounces of clay. which compound inequality represents the number of ounces of clay, c, that elisa uses to make one vase of either size?
Answers
The compound inequality which represents the number of ounces of clay is c≤4.5 or c≥12.
Given ELISA uses no more than 4.5 ounces of clay and to make a large vase, she uses at least 12 ounces of clay.
Let c denote the wide variety of oz of clay that Elisa makes use of to make one vase of both length.
The words "no more than" implies "much less than or equals to".
So, for a small vase c must be less than or equal to 4.5 ounce, which gives
c≤4.5 ...(1)
And to make a huge vase, she makes use of as a minimum 12 oz of clay.
The word "at least" implies "extra than or equals to"
So, for a large vase c must be more than or equal to 12 ounce, which gives
c≥12 ...(2)
By combining equations (1) and (2), we get
c ≤ 4.5 or c ≥ 12
Hence, the compound inequality represents the number of ounces of clay, c, that ELISA uses to make one vase of either size is c≤4.5 or c≥12.
Learn more about inequality from here brainly.com/question/23228023
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Answer:
D. c ≤ 4.5 or c ≥ 12
Step-by-step explanation:
As bria's distance from her house increases from 80 yards to 190 yards, her distance from the bus stop varies from ______ yards to ________ yards.
Answers
Answer:
This really needs more information to answer correctly. What is bria's movement relative to the bus stop? Is she moving towards it, away, or to the side?
Step-by-step explanation:
Lacking this information, I can only say that as Bria's distance increases as she moves away from the bus stop (an assumption of direction). Let's say the bus stop is x yards distant in the other direction. Bria's distance from the bus stop varies from x+80 yards to x+190 yards. The signs would change if she were moving towards the bus stop. And they'd be something entirely different if a different angle were involved.