Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
6(3x-5)≤2(9x+7)+10
divide by 2
3(3x-5)≤9x+7+5
3(3x-5)≤9x+12
divide by 3
3x-5≤3x+4
-5≤4
which is true.
The table below shows the price in dollars for the number of roses indicated is the price proportional to the number of roses explain in 2 college sentence
Answer:
Price of roses is proportional to the number of roses.
Step-by-step explanation:
Let the price of roses are proportional to the number of roses.
Equation representing this phenomenon will be,
P = k(R) ⇒ k = \(\frac{P}{R}\)
where 'P' = price of the roses
R = Number of roses
k = Proportionality constant
If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.
For R = 3 and P = $9
k = \(\frac{9}{3}\)
k = 3
For R = 6 and R = 18
k = \(\frac{18}{6}\)
k = 3
K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.
two dozen of pen cost rupee 60.find the cost of 25 such pens.
Answer:
it costs rupee 3000 of 50 such pens
Explanation:
first, you have to multiply 50 x 60 which is 3000
second, two dozens of pens, right? so i add double 25 up which is 50 pens.
hope it helps and stay safe! (brainliest me pls)
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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If the sum of two numbers is 4 and the sum of their squares minus three times their product is 76, find the numbers.
I'll be referring to each of these numbers as x and y.
x + y = 4
(x^2) + (y^2) - 3(x)(y) = 76
x = 4 - y
(4 - y)^2 + (y^2) - 3(4 - y)(y) = 76
(4 - y)(4 - y) + y^2 - (3y)(4 - y) = 76
16 - 4y - 4y + y^2 + y^2 - 12y + 3y^2 = 76
16 - 20y + 5y^2 = 76
5y^2 - 20y - 60 = 0
y^2 - 4y - 12y = 0
(y - 6)(y + 2) = 0
y = 6 or -2
x = 4 - 6 = -2
x = 4 - - 2 = 6
As you can see, we got the same numbers for both x and y, -2 and 6. Therefore, the two numbers are -2 and 6. But, we can check our work to ensure that the answer is correct.
x = -2
y = 6
6 - 2 = 4
4 = 4
(-2)^2 + (6^2) - 3(-2)(6) = 76
4 + 36 - 3(-12) = 76
40 + 36 = 76
76 = 76
Hope this helps!
Answer:
X and y = -2 or 6
Step-by-step explanation:
I need help please
Answer:
x=-4
Step-by-step explanation:
When the slope is undefined, we have a vertical line
A vertical line is of the form
x=
We have a point ( -4,2) so the x coordinate is -4
x=-4
Answer:
( -4,2)
Step-by-step explanation:
A garden table and a bench cost $994 combined. The garden table costs $44 more than the bench. What is the cost of the bench?
Answer:
Step-by-step explanation:
the answer above was the first one to correctly state this, but in case you are wondering, one way they may have done it is
1: subtract the difference between the two items
$994 - $44 = $950
2: divided the new number by 2
$950 / 2 = $475
3: came up with the answer
$475 is the price for the bench
im not saying thats how they DID do it, but it is one way of doing it
Geometry question. Please help fast.
The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.
We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.
So, both the 1st and 4th points translate and reflect down the triangle A'B'C' which will be mapped according to the triangle ABC.
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Todd wants to know how many numbers between 1 and 50 have only 2 and 5 as prime factors. list all the numbers that have only 2 and 5 as prime factors. Explain how you found your answer.
Answer: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.
Step-by-step explanation:
Answer:
10,20,30,40 both are divisible on these numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47. both are not divisable
you know this because if you do prime factorization both 2 and 5 are prime numbers found in those numbers.
Step-by-step explanation:
A family compares the cost of renting a truck from two different companies for its 2-day move to another state.The costs are shown in the table.
A. The functions are given as follows:
Company X: X(m) = 245.9 + 0.59m.Company Y: Y(m) = 91.9 + 0.79m.B. The company from which the family should rent the truck is: Company Y.
How to define the functions?There are two costs in the problem, given as follows:
Fixed costs: base, drop-off and insurance.Variable: cost per mile.The fixed costs for Company X are given as follows:
Base: 2 x 29.95 = 59.90.Drop-off: 150.Insurance: 2 x 18 = 36.The variable cost is of 0.59 per mile, hence the function, considering a trip of m miles, is given as follows:
X(m) = 59.90 + 150 + 36 + 0.59m.
X(m) = 245.9 + 0.59m.
The fixed costs for Company Y are given as follows:
Base: 2 x 19.95 = 39.90.Drop-off: included.Insurance: 2 x 26 = 52.The variable cost is of 0.79 per mile, hence the function, considering a trip of m miles, is given as follows:
Y(m) = 39.90 + 52 + 0.79m
Y(m) = 91.9 + 0.79m.
The trip is of 750 miles, hence the costs are given as follows:
X(750) = 245.9 + 0.59 x 750 = $688.4.Y(750) = 91.9 + 0.79 x 750 = $684.4.Due to the lower cost, Company Y should be chosen.
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Please help with piece wise function
Answer:
\(h( - 5) = 1 \\ h(2) = 4 \\h(5) = 1\)
Harry and Sally both invest $2500 for their school tuition in 3 years. Harry chooses to invest his money at bank A at 2.5%/a compounded monthly while Sally chooses to invest her money at bank B at 2.75%/a compounded quarterly. How much money will Harry and Sally have in their bank account after 3 years? Who made the best investment? Explain your answer.
Answer:
Hola cómo te llamas Hola
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.
Missing Information
The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.
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Graph the equation y=-x^2+12x−35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answer:
To graph the equation y=-x^2+12x-35, we need to find the vertex and the roots of the equation.
The equation can be written in vertex form as y=-(x-6)^2+1, where the vertex is (6,1).
To find the roots, we need to set y=0 and solve for x:
0=-x^2+12x-35
x^2-12x+35=0
(x-5)(x-7)=0
x=5 or x=7
So the roots are (5,0) and (7,0).
The vertex is at (6,1) and the roots are at (5,0) and (7,0). The curve is a downward-facing parabola.
Can someone please explain this by step by step? And give me the answer
Answer:
we know that q=-18
So if we see the fraction below it says q/3
We know that q is -18
Therefore, you substitute it in for q and you get
-18/3 which equals -6
Three times the square of a number is 6 more than
twice the number. What is the number?
Answer:
two is the number
Step-by-step explanation:
i think that
The required number is 1.786.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the number is x,
According to given condition,
3×x²= 2×x+6
⇒3x²= 2x+6
⇒3x²-2x-6=0
There are two values of x, -1.12 and 1.786
Neglect negative value,
By solving the equation, the value of x is 1.786.
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what is the volume of a hempisphere with a radius of 9.7 cm rounded to the nearest 10th of a cubic centimeter
Answer:
volume of hemisphere =1912.26cm^3
Step-by-step explanation:
A pizza parlor offers a choice of 12 different toppings. How many 2-topping pizzas are possible? (no double-orders of toppings are allowed)
==========================================================
Explanation:
There are 12 choices for the first topping and 11 for the next topping. The decrease is to account for the fact we cannot select a repeat topping.
That gives 12*11 = 132 permutations. If order of toppings mattered, then this would be our final answer.
However, the topping order doesn't matter. So we need to divide by 2 to correct for the double counting.
There are 132/2 = 66 combinations.
------------
Alternative Method:
n = 12 toppings are available and r = 2 selections are allowed
Order doesn't matter so we use the nCr combination formula
\(n C r = \frac{n!}{r!(n-r)!}\\\\12 C 2 = \frac{12!}{2!*(12-2)!}\\\\12 C 2 = \frac{12!}{2!*10!}\\\\12 C 2 = \frac{12*11*10!}{2!*10!}\\\\ 12 C 2 = \frac{12*11}{2!}\\\\ 12 C 2 = \frac{12*11}{2*1}\\\\ 12 C 2 = \frac{132}{2}\\\\ 12 C 2 = 66\\\\\)
There are 66 combinations
Notice the 2nd to last step involves 132/2 which was mentioned in the previous section.
Who is most affected by a discrepancy in dosage
When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.
What is the discrepancy in dosageInsufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.
It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.
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Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answer:
28x−6
Step-by-step explanation:
Okay 2 sides of equal lenght so
2(6x-4)+2(8x+1)=
12x-8+16x+2
28x-6
write a linear equation that has (a) no solutions and (b) infinitely many solutions. Justify your answer
Answer:
System with no solution: Try any pair of lines with equal slopes but different y-intercepts, such as:
y = 2x + 1
y = 2x +3
System with infinitely many solutions:
Try a pair of equations where one equation is a multiple of the other, such as:
2x - 3y = 5
10x - 15y = 25
Answer:
No solution: y=-x+5, y=-x-1
Infinitely many solutions: y=-4x+1, y=-4x+1
Step-by-step explanation:
No solution: Slopes are the same and y-intercepts are different.
Infinitely many solutions: The slope and y-intercept (everything) is the same.
2 sides equations
1. 15x-8x= 5x +48
2. 4-2y= 4y
3. 4-5x= 3+x
4. 2x+8=2x-5
5. 4y+9= 4y+9
Answer:
15x-8x-5x=48
3x=48
or X=16
4=4y+2y
or 4= 6y
or 4/6=y
or y=2/3
4-5x= 3x
or 4=5x+3x
or 4=8x
or 4/8=X
or X=2
2x=2x-5+8
or,2x= 2x-13
or 2x+2x=13
or 4x=13
or X= 13/4
or X =3.25
4y=4y+9-9
or 4y=4y+0
or 4y-4y=0
or 0=0
what is 3.98.7 * 29.76+
Answer:
- 7% of 3.98...
... is equivalent to multiplying them:
- 7% × 3.98 ≈ - 0.28
(Rounded to a maximum of 2 decimals)
Step-by-step explanation:
What is the exponent of 10?
(Thank you for helping!)
Answer:
exponent is 0
Step-by-step explanation:
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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express the function as a piecewise function
Points are : (3,-1) and (3,3)
The piecewise function is defined for the following intervals:
y = - x + 2, for x ≠ 3
y = 3, for x = 3
How to build a piecewise function associated to a given graph
Piecewise functions are expressions formed by two or more functions on given intervals. In this problem we find a piecewise function formed by a line and a point, where the line is for every x-value except x = 3, where the point exists. Now we proceed to determine the equation of the line:
Slope
m = (0 - 2) / (2 - 0)
m = - 1
Intercept
b = 2
Equation of the line
y = - x + 2
Finally, we get the following piecewise function:
y = - x + 2, for x ≠ 3
y = 3, for x = 3
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Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
I need help with this
Answer:
1. 121
2. 59
3. 48
4. 132
5. 17
6. 34
7. 23
8. 67
Step-by-step explanation:
just had this assignment and got a 100%, hope this helps!
Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. She has 5 times as many white shirts as gray shirts, minus the one white shirt she donated. Joanie has 2 times more gray short than brown shirts. If she has the same number of black and white shirts, how many gray shorts does Joanie have?
If Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. The number of gray shirts that Joanie have is: 2.
How to find the number of shirts?Let x represent the number of gray shirts
Let Joanie black shirts = 3x + 3
Let Joanie white shirts = 5x - 1
Let Joanie brown shirts = 2x
So,
3x + 3 = 5x - 1
Substract 3 from both side
3x + 3-3 = 5x - 1 -3
3x = 5x -4
Substract 5x from both side
3x-5x = 5x -4 -5x
-2x = -4
Divide both side by
x = -4/-2
x =2
Therefore, Joanie has 2 gray shirts.
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Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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Her little sister's birthday is next week, so
Cassie is planning a bubble-themed birthday
party! She buys a big bottle of bubble solution and divides it equally among 8 small bottles. Each small bottle holds 1/16 of a gallon of bubble solution.
Use an equation to find the amount of bubble solution in the big bottle.
The answer should be 6/8(6 over 8) = 2.
The required amount of solution in the big bottle is 1 gallon.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
She buys a big bottle of bubble solution and divides it equally among 8 small bottles. Each small bottle holds 1/16 of a gallon of bubble solution.
Amount held by small bottle = 8[1/16] = 1/2 gallon
Amount held by big bottle = 2 × 1/2 = 1 gallon
Thus, the required amount of solution in the big bottle is 1 gallon.
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