The group of restrictions used to simulate the issue includes
y<5x andy [tex]\geq[/tex] 40hours How to construct a set of restrictions to represent the issue:The issue includes the following information.
They require $2,545 split by John's and Savanah's hours. Savanah's hours are no more than five times John's. Savanah will babysit the kids for 40 hours.The limitations for modeling the problem are as follows: The gap between the number of hours Savanah has reserved and those that John has is no more than five times.
Savanah will provide child care for a minimum of 40 hours, but no longer than that, indicating that it is less than; as a result.
,y<5x
Meaning "at least 40 hours" is "at least 40 hours." 40 hours or more may be expressed as
y ≥ 40 hours
The two necessary restrictions are represented as y< 5x and y=> 40 hours in an inequality model.
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Name the property 7x8 = 8x7
commutative property
That's what you call the property 7x8 = 8x7
commutative property!
I need help with this
Answer:Explanation:
Option 1: Vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
iven the parent function:
[tex]y=f(x)[/tex]If y is vertically compressed by a factor of 4, we have:
[tex]\frac{1}{4}f(x)[/tex]Next, a reflection across the x-axis will give:
[tex]-\frac{1}{4}f(x)[/tex]If the result is shifted
[tex]-\frac{1}{4}f(x-6)[/tex]Finally, a shift downwards by units gives:
[tex]g(x)=-\frac{1}{4}f(x-6)-2[/tex]Thus, the graph of g(x) is the graph of y vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
he firsyt option is correct.
Find the first derivative.
Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3
I’m given an answer but don’t know how to get it.
Answer: Use the quotient rule to solve this problem (formula attached). g(x) would be -sqrt x and f(x) would be x^2 - 4x +5.
Determine the values of y in the equation y2 = 169. y = 84.5 y = ±84.5 y = 13 y = ±13
Answer:
y = ± 13
Step-by-step explanation:
If y² = 169 then y = √169
√169 is either +13 or -13
This is usually written using the plus/minus sign
√169 = ± 13
2(y − 11) = 4 im sorry i dont know what to do when the subtraction sign is there?
Algebra ll please help
The formula to obtain the future value (FV) is,
[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]Where,
[tex]\begin{gathered} FV=\text{Future Value=?} \\ PV=\text{Present Value = \$5000} \\ r=4.2\text{ \%=}\frac{\text{4.2}}{100}=0.042 \\ n=12 \\ t=n\text{umber of years }=5\text{years} \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} FV=5000(1+\frac{0.042}{12})^{12\times5}=5000(1+0.0035)^{60} \\ FV=5000(1.0035)^{60}=5000\times1.233225821=6166.129106 \\ FV=6166.129106\approx6166.13(nearest\text{ cent)} \\ \therefore FV=\text{ \$6166.13} \end{gathered}[/tex]ence, there will be $6`166.13 in the account after 5years.
A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
How many of each type of shirt were sold?
A store sold 22 colored shirts and 8 white shirts.
Let x be the number of colored shorts and y be the number of white shirts.
A store sold 14 more colored shirts than white shirts.
so, we get an equation,
x = y + 14 ....................(1)
The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
So we get an equation,
10.50x + 9.95y = 310.60 .............(2)
Substitute above value of x in equation (2)
10.50(y + 14) + 9.95y = 310.60
10.50y + 147 + 9.95y = 310.60
20.45y = 310.60 - 147
20.45y = 163.6
y = 8
Substitute above value of y in equation (1)
So, x = 8 + 14
x = 22
Therefore, a store sold 22 colored shirts and 8 white shirts.
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Carlos is baking a pie with a circumference of 56 inches. What is the area of the pie he will bake?
the area of the pie that Carol will bake will be equal to 249.51 inches².
We are given the circumference of the pie as = 56 inches.
As pie is in the shape of a circle, we will use the formula for circumference to find the radius of the circle.
2 π r = 56 inches
2 × 22 / 7 × r = 56
r = 56 × 7 / ( 22 × 2)
r = 8.91 inches.
Area of circle is given by:
π r²
Substituting the values in the formula, we get that
A = 22 / 7 (8.91)²
A = 249.51 inches²
Therefore, we get that, the area of the pie that Carol will bake will be equal to 249.51 inches².
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find the measure of each angle. JKL=5x+4 and LKM=3x
Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees
How to determine the measure of each angle?The possible question is added at the end of the solution and as an attachment
From the attached figure, we have the following angles
Angle 1: Angle JKL = 5x+4Angle 2: Angle LKM = 3xFrom the attached figure, we can see that:
Angle 1 is twice the measure of angle 2
This is so because, the angle 1 is the vertex angle of an isosceles triangle
While the angle 2 is half of it
So, we have
Angle 1 = 2 * Angle 2
Substitute the known values in the above equation
So, we have
2 * 3x = 5x + 4
Evaluate the product
So, we have
6x = 5x + 4
Evaluate the like terms
x = 4
Substitute x = 4 in the equations JKL=5x+4 and LKM=3x
So, we have
JKL= 5 x 4 + 4
LKM = 3 x 4
Evaluate the equations
So, we have
JKL= 24
LKM = 12
Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively
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What’s the answer to this question i need help teaching my sibling
a) 10.7
b) ΔABE~ΔACD | Angle Angle Similarity
1) Analyzing that triangle, and considering they are similar we can write out the following to find x
a) If they are similar their corresponding sides are proportional, therefore we can write a pair of ratios.
[tex]\begin{gathered} \frac{x}{24}=\frac{8}{18} \\ \\ 18x=192 \\ \\ \frac{18x}{18}=\frac{192}{18} \\ \\ x\approx10.7 \end{gathered}[/tex]The smallest hypotenuse over the largest hypotenuse as well as there is a proportionality between those two corresponding legs 8 and 18.
b) In the last statement of that proof table, we can tell that the last line is well written as:
ΔABE~ΔACD | Angle Angle Similarity
The Angle Angle Similarity states that:
Note that in that table there are two instances in which there is a reference to two congruent angles.
help meeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
74.44
Step-by-step explanation:
[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]
Select the counterexample that shows that the conjecture is false.
Conjecture: The product of two positive numbers is always greater than either number
Answer: 1*5=5 is the counterexample.
Step-by-step explanation: The conjecture stated is that the product of two positive numbers is always greater than either number. We have to find certain values to check and see if this conjecture is false. We can use the numbers 1 and 5 to multiply. This would be the identity property of multiplication. 1 and 5 are both positive numbers and therefore that 1*5=5 is the counterexample.
The cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. How many plates did they use at lunch?
If the cafeteria ordered 400 paper plates. They used 226 at breakfast. They bought 100 more. Then, they used some plates for lunch. Now there are 78 plates. The number of plates that was used at lunch is 196.
Number of plated usedGiven :
Paper plates ordered = 400 plates
Plates used for breakfast = 226
Additional plate bought = 100
Plate used for lunch = ?
Hence,
Let calculate the plate left after breakfast
Number of plates = Paper plates ordered - Plates used for breakfast
Number of plates = 400 plates - 226 plates
Number of plates = 174 plates
Now let determine the plates that were used for lunch
Pates used for lunch :
Pates used for lunch = (174 + 100) -78
Pates used for lunch = 274 -78
Pates used for lunch = 196 plates
Therefore we can conclude that the number of plates that was used at lunch is 196 plates .
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is 257 math map good for a 9th grader? fall edition?
Answer:
VERY
Step-by-step explanation:
VERY
I need help with this Graphs of Quadratic Functions question.
Answer: [tex]y=-((x-2)/\sqrt{2} )^{2} +4[/tex]
Step-by-step explanation:
This equation has it's parabola starting at (2,4)
So, we know that our equation will include (x-2) and +4
Next, we see the parabola is upside down, so we need a -
Next, we see the equation is wider than normal, so we need to divide x by something.
at x = -2, a normal graph would go through (0,0) , but this one goes through (0,2)
at x = -2, [tex]2^{2} =4[/tex]
but we see at x = -2, [tex]x^{2} =2[/tex]
[tex]x=\sqrt{2}[/tex]
If the sum of three consecutive odd integers is 57, what is the smallest of the three integers?
Answer:
The smallest of the three integers is 17. (17, 19, 21)
What is 1/2inch to 4 ft
The required metric conversion is:
96 times 1/2 inch is equal to 4 feet
In this question, we need to find convert 1/2 inch to 4 feet
We need to convert metric unit.
We know that, 1 feet = 12 inches
So, 4 feet would be 48 inches
We can write 48 inches as,
48 inches
= 96 × (1/2) inches
This means, if we add 1/2inch 96 times then it is equal to 4 feet
Therefore, the required metric conversion is: 96 times 1/2 inch is equal to 4 feet
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(Look at picture) 8th grade pre-algebra math question, super easy!
Answer:
A
Step-by-step explanation:
The multiplicative inverse property states that any number multiplied by its multiplicative inverse (also called reciprocal) results in 1.
solve the system of the equations using the elimination or substitution method
we have
-2x+8y=-14 ------> equation A
-4x+y=-13 ------> equation B
solve the system
using the elimination method
step 1
multiply by -2 equation A
-2[-2x+8y=-14] -----> 4x-16y=28 -------> equation C
step 2
Adds equation B and equation C
-4x+y=-13
4x-16y=28
-----------------
-15y=15
solve for y
y=-1
Find the value of x
substitute the value of y in any equation
-4x+y=-13 ------> equation B
-4x+(-1)=-13
-4x=-13+1
-4x=-12
x=3
therefore the solution is
x=3 and y=-13. A bus travels a distance of 60 km at a steady speed of 60 km/h. (a) Does the distance travelled vary directly with time?If the journey takes 8 hours, find its speed.
a) The distance that the bus traveled varies directly with time.
b) If the journey of 60 km takes 8 hours, the speed of the bus is 7.5 km/h.
What is the relationship between distance and speed?The relationship between distance and speed can best be explained below:
For a constant speed, for example, 60 km/h, the distance traveled, 60 km, is proportional to the time used.
But if the distance is fixed at 60 km, the time it takes the bus, for example, 8 hours, is inversely proportional to the speed.
Total distance = 60 km
Steady speed = 60 km/h
Thus, for every kilometer, the bus takes one minute (60/60) and for every minute, the bus travels a kilometer.
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Answer this please please
Answer:
X = 1/5
Step-by-step explanation:
16 - 10X = 14
10X = 2
X = 0.2
Answer
x=0.2
-16+10x=-14
10x=-14+16
10x=2
10x÷10=2÷10
x=0.2
Please help I’ll mark you as brainliest if correct!!
Blanks to be filled by 4,3,8 and 3.
What is multiplication?Multiplication in mathematics is the same as adding equal groups. As we multiply, there are more items in the group. The product, the two factors, and the product are all components of a multiplication problem. The numbers 6 and 9 are the factors in the multiplication equation 6 x 9 = 54, and 54 is the result.
Given Data
3 __ 8
× 7 8 4
_____________
1 _ 9 2
2 7 __ 4
_ 4 3 6
_____________
2 7 2 8 __ 2
_____________
Solving
Multiplying and adding,
3 _4_ 8
× 7 8 4
_____________
1 3_ 9 2
2 7 _8_ 4
_ 4 3 6
_____________
2 7 2 8 _3_ 2
_____________
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In the lab, Charlie has twosolutions that contain alcohol and is mixing them with each other. Solution A is 20% alcohol and Solution B is 6%
alcohol. He uses 300 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 12% alcohol solution?
Charlie used 400 milliliters of Solution B if the resulting mixture is a 12% alcohol solution.
What does "algebraic equation" mean?An algebraic equation is a declaration of the equality of two expressions created by applying the algebraic operations to a set of variables.
What kind of algebraic equations are there?Monomial expressions, binomial expressions, and polynomial expressions are the three main categories of algebraic expressions.
Given : Solution A contains 20% alcohol, while Solution B contains 6% alcohol.
It is also given that Charlie uses 300 milliliters of Solution A.
Let's say that the mixture contained x ml of the 6% solution B.
x + 300 = resulting mixture of 12 % alcohol.
20% (300) + 6% (x) = 12% (x+300)
60 + 0.06x = 0.12x + 36
0.06x = 24
x = 400 milliliters
As a result, if the resulting mixture is a 12% alcohol solution, he used 400 milliliters of Solution B.
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62 divided by 9531 please solve
The answer is 0.00650508866
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle. The diagram is not drawn to scale.
answer today plsssss
The evaluated value of x from the line geometry given is 36.
Lines and anglesAn angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.
Take the sum to have
x + 3x + x = 180
Simplify
4x + x = 180
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
Hence the value of x from the diagram is 36
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14. In the figure shown, a // b and c | d What is the value of x?
The angle x in the parallel line is 123 degrees.
How to find the angles in the parallel lines?In the diagram, l₁ and l₂ are parallel.
l₃ and l₄ are perpendicular to each other.
Since l₁ and l₂ are parallel lines, the line l₃ is a transversal that cut across the parallel lines.
Angle relationship are formed such as corresponding angles, alternate angles, vertically opposite angle etc.
Therefore,
57 + x = 180°
x = 180 - 57
Therefore,
x = 123 degrees.
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2(3-i)(-2+ 4i) =
simplify each expression
Please help I’ll mark you as brainliest if correct!
Answer:
327 x 564
1648+2092+1685
190068
Step-by-step explanation:
im pretty sure that this is right. and the bold letter are the missing ones
Solve the following quadratic equation by using the quadratic formula. -2x^2+7x-4=0
Answer: X1= 7 - sqrt{17} over 4
X2= 7 + sqrt{17} over 4
Which description best compares the graph given by the following equations:
Based on the equations given, the best comparison between them is that they are intersecting but not perpendicular.
How to know lines that are perpendicular?When lines are perpendicular to each other, one line will have a slope that is the negative reciprocal of the other. For instance, if the slope of one line is 2, the slope of the perpendicular line will be -1/2.
Parallel lines will have the exact same slope.
The slope of the first line is:
2x - 7y = -5
(2x - 7y = -5) x 1/7
2/7x - y = -5/7
Slope = 2/7
The slope of the second line is:
x - 3y = 4
(x - 3y = 4) x 1/3
1/3x - y = 4/3
Slope = 1/3
The slopes are neither negative reciprocals nor the same so the lines must be intersecting but not perpendicular.
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