Answers
The system of inequalities that best represents this situation is:
6x + 3y ≥ 550,000, x ≤ 100,000, y ≤ 40,000
The first inequality represents the condition that the park hopes to earn back more than the 5500,000 cost of construction in four years. The second and third inequalities represent the maximum number of adult and child rides that can be provided in one season, respectively.
What are inequalities?
Inequalities are mathematical statements that compare two values or expressions, indicating whether one value is greater than, less than, or equal to the other value. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), and "!=" (not equal to).
For example, the inequality "x < 5" means that the value of x is less than 5. Similarly, the inequality "y≥ 10" means that the value of y is greater than or equal to 10. Inequalities can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
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Related Questions
what is the value of x?
please help!!
Answers
Answer: 20
Step-by-step explanation:
Step by step
The two angles will equal 180 degrees as a complementary angle.
So your equation is
2x + 40 = 180
Solve for x
Subtract 40 from both sides to isolate x
2x + 40 - 40 = 180 - 40
2x = 140
Divide both sides by 2 to solve for x
2/2 x = 140/2
x = 70
Now check your work
2x + 40 = 180
2 (70) + 40 = 180
140 + 40 = 180
180 = 180
Problem solved!
Can someone help me with this math problem asap
Answers
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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what are these questions
Answers
The gradient of y = 16 - 8x is - 8
The gradient of y - 5 = 6x is 6
y = mx + c form of y - 5 = 6x is
What is Gradient:
The slope is another name for the gradient. Any straight line's gradient illustrates or demonstrates how steep it is. The gradient is said to be bigger if any line is steeper.
In other words, the ratio of vertical change to horizontal change is known as Gradient.
The gradient of line y = mx + c is 'm'
Here we have
Equation (1) y = 16 - 8x
Compare the given equation with y = mx + c
=> Gradient / Slope (m) = - 8
Equation (2) y = 7x + 8
Compare the given equation with y = mx + c
=> Gradient/ Slope (m) = 7
Equation (3) y - 5 = 6x
Convert the given equation in the form of y = mx + c
=> y - 5 = 6x
Add 5 on both sides
=> y = 6x + 5
When we compare the given equation with y = mx + c
=> Gradient / Slope (m) = 6
Therefore,
The gradient of y = 16 - 8x is - 8
The gradient of y - 5 = 6x is 6
y = mx + c form of y - 5 = 6x is y = 6x + 5.
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\(are \frac{7}{1.6} and \frac{35}{8} proportional\)
Answers
In the situation, 7/1.6 and 35/8 are proportional.
What is meant by proportional?If the ratio between the corresponding elements of two numerical sequences, frequently experimental data, is constant, the sequences are proportional or directly proportional.
We have given \($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)
\($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)
Multiply the cross-product and
35 × 1.6 must be equal to 7 × 8 to be proportional.
35 × 1.6
= 56
And then,
7 × 8
= 56
We see that,
56 = 56
Since the cross-products are equal to 1, we can say that 7/1.6 and 35/8 are proportional.
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Evaluate cosθ if sinθ = sqrt5/3
Answers
Answer:
2/3
Step-by-step explanation:
sinθ is opposite/hypotenuse (soh cah toa)
If given what sinθ is, you have the opposite leg to θ and the hypotenuse. It helps to draw a triangle. You can figure out the adjacent leg using the pythagorean theorem. \(3^{2}\)-\((\sqrt{5} )^{2}\) = 4
Square root 4 to find the adjacent leg, 2.
To find cosθ, which is adjacent over hypotenuse, substitute in the respective numbers, which gives you 2/3.
Match each strength of association with the correct scatter plot.
1. Weak. 2. Moderate. 3. Strong
Answers
Answer:
Step-by-step explanation:
The closer together the points are to a line that can be drawn, the stronger the association.
1. weak is B, the points are all over the place and a clear line can't even be drawn
2. moderate is A, if you drew a line between the points, a line can be drawn and they points are somewhat close to the line
3. strong is C because you can draw a line through points are they are pretty closely clustered near the line.
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
A.
4 boxes; 21 scented candles and 12 candle holders
B.
6 boxes; 14 scented candles and 8 candle holders
C.
12 boxes; 7 scented candles and 4 candle holders
D.
24 boxes; 3 scented candles and 2 candle holders
Answers
The answer is A
Hope this helps!
f (x) = (2x −10)³
What is f (8)?
Answers
Answer:
f(8) = 216
Step-by-step explanation:
f(x) = (2x −10)³
f(8) = (2(8) −10)³
= (16 - 10) ^3
= 6^3
= 216
f(8) = 216
The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( x ) = ( 2x - 10 )³
To calculate the value of f ( 8 ) , substitute the value of x as x = 8 in the equation , we get
f ( x ) = ( 2x - 10 )³
On simplifying the equation , we get
f ( x ) = ( 2x )³ - ( 10 )³ - 3 ( 2x )²( 10 ) + 3 ( 2x ) ( 10 )²
So , the equation is
f ( x ) = 8x³ - 1000 - 120x² + 600x
So , the equation is
f ( x ) = 8x³ - 120x² + 600x - 1000
Now , substituting x = 8 ,
f ( 8 ) = 8 ( 8 )³ - 120 ( 8 )² + 600 ( 8 ) - 1000
f ( 8 ) = 4096 - 7680 + 4800 - 1000
On simplifying the equation , we get
f ( 8 ) = 216
Therefore , the value of f ( 8 ) = 216
Hence ,
The value of the equation f ( 8 ) when f ( x ) = ( 2x - 10 )³ is f ( 8 ) = 216
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What is the solution to the system of equations
Answers
The solution of the given system of equations is (-1, -2).
Explain the method of substitution?Three steps make up the substitution technique: For each of the variables, solve one equation. Put this expression (or plug it in) into the other equation, then solve it. To identify the corresponding variable, rewrite the value's original equation.We are aware that a linear system of equations can be solved using a substitution method.
The intersection of the two lines represents the system's solution.
The given equations are-
y = 3x+1 ...eq 1
y = -2x-4 ...eq 2
Put the value of eq 1 in eq2 .
3x+1 = -2x-4
3x + 2x = -4 - 1
5x = -5
x = -5/5
x = -1
Put the x in eq 1.
y = 3(-1)+1
y = -2
Thus, the solution of the given system of equations is (-1, -2).
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The complete question is-
What is the solution to the system of equations-
y=3x+1 ;
y=-2x-4
Steve wants to buy a new music player.
The player he wants costs $279.95. The city
he lives in charges a 5% sales tax,
SO for
every
$100.00 Steve spends, he has to pay
a sales tax of $5.00. How much
sales tax
will Steve have to
pay
for the music player?
Answers
Answer: $14 for sales tax
Step-by-step explanation:
you're buying a $279.95 item with a sales tax of 5%. Your math would be simply: [cost of the item] x [percentage as a decimal] = [sales tax]. That's $279.95 x 0.05 =$13.9975
but if you round up which is possible in your case its $14
Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Answers
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
An equation is ____=540
The solution is x=____
Answers
in figure
85+5n+5n+5n+5f+5n-10=540
20n+80=540
20n= 460
x=23
Priya and Mai each made a batch of grape fizz. Priya mixed 3 scoops lot grape-flavored powder with & cups ot water. Mai mixed 4 Scoop of grape-flavored powder
Create a table that shows two additional different mixtures of powder and water that will make grape fizz that tastes the same as Priya's mixture.
Create a table that shows two additional different amounts of powder and water that will make grape fizz that tastes the same as Mai's mixture.
How do Priya's and Mai's mixtures compare in taste? Explain your thinking
Answers
The table that shows two additional different amounts of powder and water that will make grape fizz that tastes the same as Mai's mixture is shown below,
Scoops of water = 4, 8, 12, 16, 20, 24
Cups of water = 1, 2, 3, 4, 5, 6.
What is ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given:
Priya mixed 3 scoops lot grape-flavored powder with & cups of water, Mai mixed 4 Scoop of grape-flavored powder,
Calculate the ratio of the powder and water mixed by Priya as shown below,
The ratio of the powder and water = scoops of powder / cups of water
The ratio of the powder and water = 3 / 1
Calculate the ratio of the powder and water mixed by Mai as shown below,
The ratio of the powder and water = 4 / 1
The table shows different mixtures of powder and water that will make grape fizz that tastes the same as Priya's mixture is shown below,
Scoops of water = 3, 6, 9, 12, 15, 18
Cups of water = 1, 2, 3, 4, 5, 6.
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y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answers
Here's how to do it:
Substitute y with zero:
0 = (1/3)x - 1
Add 1 to both sides:
1 = (1/3)x
Multiply both sides by 3:
3 = x
So the x-intercept of the line y = (1/3)x - 1 is (3,0). This means that the line crosses the x-axis at the point (3,0).
In conclusion, the x-intercept of the line y = (1/3)x - 1 is (3,0), which means that the line crosses the x-axis at the point (3,0).
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
A marketing company is hiring two college students to hand out brochures near an event.Marshall hands out 300 brochures in 2 hours. Silas hands out 240 brochures in 90 minutes. Who handed out more brochures per minute? Neither. They handed out brochures at the same rate. Marshall Silas
Answers
Answer:
Silas
Step-by-step explanation:
300 / 2 = 150
150 / 60 = 2.5
So, Marshall hands out 2.5 brochures per minute.
240 / 90 = 2.6
And, Silas hands out 2.6 brochures per minute.
2.5 < 2.6
Answer:
silas is the answer
Step-by-step explanation:
I got it right :)
Given x varies inversely as y and x = 6 when y = - 4, find y when x = 8 .
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- - - - - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - -
\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)
Given that x varies inversely with y, x=6 when y=-4, find y when x=8.
\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)
If x varies inversely with y, we divide.
So the formula looks as follows:-
\(\bold{x=\displaystyle\frac{k}{y} }\)
where k = constant of proportionality
Plug in the values:-
\(\bold{6=\displaystyle\frac{k}{-4}}\)
Multiply both sides by -4:-
\(\bold{-24=k}\)
Now find y when x=8:-
\(\bold{8=\displaystyle\frac{-24}{y}}\)
Multiply both sides by y:-
\(\bold{8y=-24}\)
Divide by 8 on both sides:-
\(\dashrightarrow\bigstar{\boxed{\boxed{\underline{\bold{y=-3}}}}\dashleftarrow\)
Good luck.
- - - - - - - - - -- - --- - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - -
anyone please help me.
Answers
Answer:
Option E
Step-by-step explanation:
It is given in the question that both the triangles are similar.
By the property of similarity of two figures,
Corresponding sides of the similar figures are proportional.
\(\frac{x}{25}=\frac{24}{15}= \frac{48}{30}\)
\(\frac{x}{25}=\frac{24}{15}\)
x = \(\frac{24\times 25}{15}\)
x = 40
Therefore, measure of the missing sides is 490 units.
Option E will be the answer.
What is the 7th term in the sequence below?
-19, -7, 5, 17, .....
Select one:
a.65
b.29
c.101
d.53
Answers
Answer:
53
Step-by-step explanation:
—19 + 12 = —7
—7 + 12 = 5
5 + 12 = 17
.
.
.
so the n term of the sequence will be: 12n — 31
so 7th term will be: 12 × 7 — 31 = 53
Answer:
d. 53
Step-by-step explanation:
increases 12 units at each step:
17 + 12 = 29
29 +12 = 41
41 + 12 = 53 (7th term)
Hope this helps
7.71 divided by 10 I don’t get how to do this
Answers
Answer: 0.771 you are welcome
???????????????????????
Answers
Answer:
try
Step-by-step explanation:
try solving it on ur own or take a educated guess
What is the area of
the segment? Express
the answer in terms
of pi.
Answers
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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In point estimation a. data from the sample is used to estimate the population parameter. b. the mean of the population equals the mean of the sample.
Answers
Answer:
a. data from the sample is used to estimate the population parameter.
Step-by-step explanation:
Given
Point estimation
Required
The true statement
Point estimation literally means taking data from the sample to estimate the corresponding population parameter
For instance:
Sample mean estimates population mean
Sample standard deviation estimates population standard deviation
Sample variance estimates population variance
Hence;
(a) is correct
What polygon is formed by
joining the points
(1, −1), (4, −1), (−1, −3),
and (7, −3)?
Answers
Answer:
the polygon is a trapezoid
Step-by-step explanation:
(1, −1), (4, −1), the two points having the same y coordinate they make a horizontal line
(−1, −3), (7, −3) the two points having the same y coordinate they make another horizontal line
All horizontal lines are parallel.
The shape is a trapezoid because it has one pair of parallel lines.
If a batch of cookies uses
2
2
3
cups of sugar, then how much sugar is needed to make 5 batches of cookies
Answers
Answer:
13 1/3 cups of sugar
Step-by-step explanation:
Please help me with this question
Answers
The values of tht missing part of the triangle are;
A= 20.9°
a = 13.06
c = 33.6
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
To find side c
sinB/b = sinC/c
sin45.9/26.30 = sin113.2/c
csin 45.9 = 26.30 × sin113.2
0.718c = 23.90
c = 23.90/0.718
c = 33.6
Angle A = 180-(113.2+ 45.9)
angle A = 20.9°
sinA/a = sinB/b
sin20.9/a = 0.718/26.30
0.357 × 26.30 = 0.718a
a = 9.389/0.718
a = 13.06
Therefore A = 20.9°
a = 13.06
c = 33.6
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James has $150 in savings and earns an additional $50 per week, w, cutting grass. Which equation represents the total, t, in his account?
Answers
Answer:y=50x+150
Step-by-step explanation:
50x is the variable that will change the amount of money he has each week. 150 is the amount he currently has
Students have been saving up for a trip to the mall. Jherica has $5.50 more than Erin, and Alexa has $10.00 less than Jherica. Together they have a total of $85.00. How much does each person have?
Answers
Answer:
Erin = x
Jherica = x + 5.50
Alexa = (x+5.50) - 10
After determining the following, you want to plug it into an equation.
So,
x + (x+5.50) + (x+5.50 - 10) = $85.00
Solve.
I'm trying to make sure I'm helping my daughter in 8th grade math write these equations right
Answers
Answer:
You didn't attach a picture or the questions/answers. The answers can't be checked without one of those two things provided.
Sean earned 20 points. Charles earned p more points than Sean. Choose the expression that shows how many points Charles earned.
Answers
Therefore, the expression to show how many points Charles earned would be:
p + 20
Answer:
the person above is correct if i did this correct
Step-by-step explanation:
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Answers
Check the picture below.
