Answer:
a or b
Step-by-step explanation:
Final answer:
The constant of variation k is found by substituting the given values into the direct variation equation t = k√s and solving for k, leading to the result k = 32.
Explanation:
We are given that t varies directly as the square root of s, which can be represented as t = k√s, where k is the constant of variation. To find k, we use the provided values: t=64 when s=4. Substituting these values into the equation gives us:
64 = k√4
Since the square root of 4 is 2, we get:
64 = 2k
Dividing both sides by 2, we find that k = 32, which is the constant of variation.
can you solve this equation for me?
simplify the expression 6-2x+5+4x
Answer:
11 + 2x
Step-by-step explanation:
First you will want to separate like variables, so (6, 5) and then (-2x, 4x)
Then you will use the signs to do the math. You can move everything to help visualize the solution easier.
6+5+4x-2x
6+5 = 11
4x-2x = 2x
Because you cannot add or subtract a variable with a non variable, and both numbers are positive you end up with
11 + 2x
The expression 6-2x+5+4x simplifies to 11 + 2x by combining like terms: the constants (6+5=11) and the variables (-2x+4x=2x).
To simplify the expression 6-2x+5+4x, we start by combining like terms. Combining the constant terms (6 and 5) and the variable terms (-2x and 4x), we get:
Constant terms: 6 + 5 = 11
Variable terms: -2x + 4x = 2x
Thus, the simplified expression is 11 + 2x.
44 decreased by twice a number
use the variable "n" to represent an unknown number
Answer:
44-2n
Step-by-step explanation:
Hope it helps!
Final answer:
The expression '44 decreased by twice a number' can be represented as 44 - 2n, where n is the unknown number.
Explanation:
The question involves expressing a given mathematical relationship using a variable. Here, the relationship is '44 decreased by twice a number.' To represent this situation with the variable n, we use the expression 44 - 2n. To simplify further, just substitute the variable 'n' with the unknown number. This represents the original number 44 being reduced by two times the value of some unknown number n.
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula? Quadratic formula: x = -b
Answer:
shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.
Step-by-step explanation:
Given: The quadratic equation
We have to show the correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.
The standard form of quadratic equation is then the solution of quadratic equation using quadratic formula is given as
Consider the given quadratic equation
Comparing with general quadratic equation, we have
a = -3 , b = -2 , c = 6
Substitute in quadratic formula, we get,
Simplify, we have,
Thus, and x_{2}=\frac{2-\sqrt{76} }{-6}
Simplify, we get,
Thus, shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.
Answer:
shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.
Step-by-step explanation:
Given: The quadratic equation
We have to show the correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.
The standard form of quadratic equation is then the solution of quadratic equation using quadratic formula is given as
Consider the given quadratic equation
Comparing with general quadratic equation, we have
a = -3 , b = -2 , c = 6
Substitute in quadratic formula, we get,
Simplify, we have,
Thus, and x_{2}=\frac{2-\sqrt{76} }{-6}
Simplify, we get,
Thus, shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.
What is the answer to (7+4)2+(14/7)
Answer:
24
Step-by-step explanation:
When you isolate the variable,the goal is to get the variable
Answer: you isolate the variable so you can get a equation of y= 10x or something like that
Step-by-step explanation:
one angle of a triangle has measure 26 degrees and another has measure 35 degrees. what is the measure, in degrees of the 3rd angle?
The measure of the third angle is 119 degrees
Step-by-step explanation:
The given is:
One angle of a triangle has measure 26 degreesAn another has measure 35 degreesWe need to find the measure of the third angle in the triangle
The sum of the measures of the interior angles of a triangle is 180°
∵ The measure of an angle = 26°
∵ The measure of another angle = 35°
∵ The some of measures of the 3 angles = 180°
∴ 26° + 35° + x° = 180°, where x is the measure of the 3rd angle
- Add the like terms in the left hand side
∴ 61° + x° = 180°
- Subtract 61 from both sides
∴ x = 119°
The measure of the third angle is 119 degrees
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Given that ABCD is a rhombus, what is the value of x?
(3x - 26)
Answer:its 29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Enter your answer and shot all the steps that you use to solve this problem in the space provided. This diameter of a tire is 2.5 ft. Use this measurement to answer parts A and B.
A - find the circumference of the tire.
B - about how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)
PLS HELP ASAP!! :))
WILL GIVE BRAINLIST
A- The circumference of the tire is about 7.85 feet
B- The tire will rotate about 672 times to travel 1 mile
Step-by-step explanation:
The formula of the circumference of a circle is C = π d, where d is the diameter of the circleIf a circle rotates for n turns and make a distance S, then n = [tex]\frac{S}{C}[/tex]∵ The diameter of a tire is 2.5 ft
∴ d = 2.5 ft
∵ C = π d, where C is the circumference of tire
∴ C = π(2.5) = 7.85398 ft
∴ C ≅ 7.85 feet
A- The circumference of the tire is about 7.85 feet
∵ The tire have to travel 1 mile
∵ 1 mile = 5280 feet
∴ S = 5280 feet
- To find the number of rotation of the tire divide S by C
∵ n = [tex]\frac{S}{C}[/tex]
∴ n = [tex]\frac{5280}{7.85}[/tex] ≅ 672 revolution
B- The tire will rotate about 672 times to travel 1 mile
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Answer:
The circumference of the tire is about 7.85 feet
B- The tire will rotate about 672 times to travel 1 mile
Step-by-step explanation:
The formula of the circumference of a circle is C = π d, where d is the diameter of the circle
If a circle rotates for n turns and make a distance S, then n =
∵ The diameter of a tire is 2.5 ft
∴ d = 2.5 ft
Step-by-step explanation:
urgent please be my saint VX is a midsegment of △WYZ. If YZ=t+95 and VX=10t, what is the value of t?
Answer:
[tex]t = 5[/tex]
Step-by-step explanation:
By the mid-segment theorem of triangles,
[tex]VX= \frac{1}{2} YZ[/tex]
We substitute the expressions in terms of t.
[tex]10t = \frac{1}{2} (t + 95)[/tex]
We multiply through by 2 to get:
[tex]20t = t + 95[/tex]
Subtract t from both sides:
[tex]20t - t = 95[/tex]
[tex]19t = 95[/tex]
Divide both sides by 19:
[tex]t = \frac{95}{19} [/tex]
[tex]t = 5[/tex]
Which number has the smallest number? -5 or -15?
Answer:
-15
Step-by-step explanation:
this is the negative scale, so the bigger the smaller
Answer:-15
Step-by-step explanation:
-15 is 15 away from 0 while -5 is only 5 away from 0
Order the integers from least to greatest.
7. 1, -3, -6,50
9. 11, -11,18, -18, -8
Answer:
7) -6, -3, 1, 50
9) -18, -11, -8, 11, 18
HWEEEPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
P = 105°
QR = 11.6
M = 45°
LN = 8.5
Step-by-step explanation:
when reading the order of what is given LMN = PRQ the order DOES matter
so whe looking at what is being asked....
P will equal whatever its place is in the opposite equation. In this case that is L. This means that P = L. Since L = 105° then so does P.
You can do this with the rest of the letters. What ever letter is in it's place in the opposite equation that is what it equals.
Write the expression "N is the same as 6 reduced by 2" as a number sentence.
Answer:
N = 6 - 2
Step-by-step explanation:
Take each part of the word expression and translate it:
"N" => N ("N" is a variable that represents a number you don't know)
"is the same as" => = ("the same" means equals)
"6 reduced by 2" => 6 - 2 ("reduced" means use subtraction "-")
Put the sentence back together in the same order.
N = 6 - 2
If you wanted to find "N", you can simplify by doing 6 - 2.
N = 4
If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pay for them this year?
Answer:
$76.5
Step-by-step explanation:
We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.
An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.
[tex]\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}[/tex]
[tex]\text{Price of pair of jeans this year}=\$75+\$75\times0.02[/tex]
[tex]\text{Price of pair of jeans this year}=\$75+\$1.5[/tex]
[tex]\text{Price of pair of jeans this year}=\$76.5[/tex]
Therefore, the price of pair of jeans would be $76.5 this year.
#15 You earned 89 out of
100 points on your math
quiz. What percent of the
points did you earn?
#16 Outc
are in bar
of studen
Answer:
89%
Step-by-step explanation:
Percent is a number out of 100.
If you got 89 out of 100, you got 89%
3x to the power of the 4th - x to the second power - x to the second power-5x to the power of 4 +3
Answer:
3x^4-x^2-x^2-5x^4+3
-2x^4-2x^2+3 is the answer
To simplify the given expression, combine like terms by adding or subtracting the coefficients of the same powers of x.
Explanation:The given expression is 3x4 - x2 - x2 - 5x4 + 3.
To simplify this expression, combine like terms by adding or subtracting the coefficients of the same powers of x.
Combining like terms, we have: -2x2 - 2x4 + 3.
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a-2.5
2a-22.7
a+1.3
21.5
What’s a
Answer:
2.4
Step-by-step explanation:
$300 at 4 percent for 3 years
A: Find the interest earned
B: Find the balance of the account
Ben is 4 times as old as I Ishaan and is also 6years older than ishaan
Answer:
24
Step-by-step explanation:
4 times 6 =24
Answer:
Ishaan is 2 years old and Ben is 8
Step-by-step explanation:
Ben is 4 x (2) = 8
Ben is 6 + (2) = 8
Share £40 in the ratio 1:4
Answer:
8:32
Step-by-step explanation:
1x+4x=40
5x=40
x=8
1*8:4*8
8:32
)
The diameter of the dart board is 50 centimeters. What is the approximate circumference? (Use 3.14 for
A 157 cm
B 78.5 cm
cc 1962.5 cm
D. 625 cm
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Answer:
a. 157 cm
Step-by-step explanation:
Multiply the diameter times 3.14
3.14 x 50=157 cm.
answer: 157 cm
To find the circumference of a circle given the diameter, multiply the diameter by π (approximately 3.14). Hence, the circumference of the dartboard is approximately 157 cm.
Explanation:The subject of the question is Mathematics and it covers a topic generally taught in Middle School. When given the diameter of a circle, you can calculate the circumference using the formula C=πd where C is the circumference, π (pi) is about 3.14, and d is the diameter. In this case, the diameter of the dartboard is 50 cm. So, we simply multiply the diameter (50 cm) by π (3.14) to get the circumference. This means the circumference of the dartboard is approximately
157 cm (Option A)
.
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Borrowed 8000 at a rate of 12% compound monthly, no payments how much will be owed after 7 years?
Answer:
[tex]\$18,453.78[/tex]
Step-by-step explanation:
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final amount owed
P is the amount borrowed
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=7\ years\\ P=\$8,000\\ r=12\%=12/100=0.12\\n=12[/tex]
substitute in the formula above
[tex]A=8,000(1+\frac{0.12}{12})^{12*7}[/tex]
[tex]A=8,000(1.01)^{84}[/tex]
[tex]A=\$18,453.78[/tex]
the greatest common factor of 10 and 14 is 5 true or
Answer:
False
Step-by-step explanation:
Factors of 10 and 14:
10: 1 , 2, 5, 10
14: 1, 2, 7, 14
As you can see, 5 is not a common factor of 10 and 14
The greatest common factor is two
So the answer is false, 5 is not the greatest common factor of 10 and 14
Hope this helps :)
The greatest common factor of 10 and 14 is 2, not 5. The statement is false as 5 is not a factor of 14.
The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 10 and 14, we list the factors of each number:
Factors of 10: 1, 2, 5, 10Factors of 14: 1, 2, 7, 14The common factors of 10 and 14 are 1 and 2. Therefore, the GCF of 10 and 14 is 2, not 5. The statement that the greatest common factor of 10 and 14 is 5 is false.
please someone help me with this
Answer:
See explanation
Step-by-step explanation:
Triangle ABC ahs vertices at points A(-4,-4), B(-1,-2) and C(-1,-4).
1 way: First reflect this triangle across the y-axis to form the triangle A''B''C'' which vertices are at points A''(4,-4), B''(1,-2) and C''(1,-4).
Then translate this triangle 7 units up to form the triangle A'B'C' with vertices:
[tex]A'(4,-4+7)=A'(4,3)\\ \\B'(1,-2+7)=B'(1,5)\\ \\C'(1,-4+7)=C'(1,3)[/tex]
2 way: First translate this triangle 7 units up to form the triangle A''B''C'' which vertices are at points A''(-4,3), B''(-1,5) and C''(-1,3).
Then reflect this triangle across the y-axis to form the triangle A'B'C' with vertices:
[tex]A'(-(-4),3)=A'(4,3)\\ \\B'(-(-1),5)=B'(1,5)\\ \\C'(-(-1),3)=C'(1,3)[/tex]
Marks car gets 30 miles per gallon for gas mileage. How many miles can Mark travel on 13 gallons of gas
Answer:
390 miles
Step-by-step explanation:
30 mpg means that he gets 30 miles for every gallon.
If he has 13 gallons means that you multiply 30 by 13.
30 * 13 = 390 miles
Final answer:
Mark can travel 390 miles on 13 gallons of gas, as his car gets 30 miles per gallon and distance is calculated by multiplying fuel efficiency by the number of gallons.
Explanation:
To calculate the distance Mark can travel on 13 gallons of gas, we use the formula: Distance = Fuel Efficiency imes Number of Gallons.
Mark's car gets 30 miles per gallon. Thus, the distance he can cover on 13 gallons of gas is calculated by multiplying 30 miles/gallon by 13 gallons, which equals 390 miles.
This is a straightforward multiplication problem involving units of fuel efficiency (miles per gallon) and quantity of fuel (gallons).
The solution directly gives us the total number of miles Mark can travel on 13 gallons of gas.
The perimeter of the rectangle is 14x + 4, the length of the rectangle is 2x. What is the width of the rectangle?
Answer:
5x+2
Step-by-step explanation:
P=2L+2W
14x+4=2(2x)+2W
14x+4=4x+2W
14x+4-4x=2W
14x-4x+4=2W
10x+4=2W
(10x+4)/2=W
5x+2=W
Allie bought a roll of wrapping paper that is 8 1/2 feet long. She is wrapping gifts for her staff and needs 1 3/4 feet of wrapping paper for each gift. If Allie wraps as many gifts as possible with one roll, how many feet of wrapping paper will she have left over?
Answer:
1 1/2 feet
Step-by-step explanation:
We know that she needs 1 3/4 feet of wrapping paper per gift and she has a total of 8 1/2 feet.
The number of gifts she can wrap is:
[tex]8.5/1.75=4.86[/tex]
She can wrap four gifts
Therefore:
[tex]4\cdot{1.75}=7[/tex]
She will use 7 feet of wrapping paper and she has:
[tex]8.5-7=1.5[/tex]
She has 1 1/2 feet of wrapping paper left
Answer:
11/2
Step-by-step explanation:
Find the area of shaded region. Round the answer to 2 decimal places if necessary
[tex]\boxed{A=50units^2}[/tex]
Explanation:Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any regions so I'll help you assuming a system of inequalities that leads to a shaded region that is a right triangle as shown in the figure below. The system is the following:
[tex]\left\{ \begin{array}{c}x>0\\y>0\\y<-x+10\end{array}\right.[/tex]
From the figure below, the shaded region is a right triangle with base 10 units and height 10 units. So:
[tex]A=\frac{b\times h}{2} \\ \\ \\ A:Area \ of \ the \ triangle \\ \\ b:base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle[/tex]
So:
[tex]A=\frac{10\times 10}{2} \\ \\ A=\frac{100}{2} \\ \\ \boxed{A=50units^2}[/tex]
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A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?
Answer:
Let the number of balcony seats be b
Let the number of gallery tickets be g
Let the number of main floor tickets be m
b + g + m = 1020
b = 2g
m = b + 225
The number of balcony tickets = 318
The number of gallery tickets = 159
The number of main floor tickets = 543
Step-by-step explanation:
Let the number of balcony seats be b
Let the number of gallery tickets be g
Let the number of main floor tickets be m
i) Therefore we can write b + g + m = 1020
ii) there were twice as many balcony tickets sold as gallery tickets
therefore b = 2g [tex]\Rightarrow[/tex] g = 0.5b
iii) there were 225 more main floor tickets than balcony tickets
therefore m = b + 225
iv) using equation ii) and equation iii) in equation i) we can write
b + g + m = b + 0.5b + b + 225 = 1020 [tex]\Rightarrow[/tex] 2.5b = 795 [tex]\Rightarrow[/tex] b = 318
v) g = 0.5 b = 0.5 [tex]\times[/tex] 318 = 159
vi) m = b + 225 = 318 + 225 = 543
Answer:
D. Gallery: g
Balcony: 2g
Main Floor: 2g+225
Step-by-step explanation:
Gallery is g
Balcony had 2 times as many tickets than Gallery so 2•g (2•gallery)
Main floor had 225 more tickets than Balcony so Balcony’s equation plus 225 tickets. 2g + 225
Last month, Jim and Debbie earned $7,200. Debbie earned $1,600 more than Jim earned. How much did they each earn? Call the amount that Jim earned j and the amount that Debbie earned d.
Step-by-step explanation:
Let Jim earned $ x
Therefore, Debbie earned = $(x + 1600)
According to the given information:
[tex]x + (x + 1600) = 7200 \\ \therefore \: 2x = 7200 - 1600 \\ \therefore \: 2x =5600 \\ \\ \therefore \: x = \frac{5600}{2} \\ \\ \therefore \: x =2800 \\ [/tex]
Thus, Jim`s earning = $2800
Debbie`s earning = 2800 + 1600 = $4400
Lets Jim earn $ x
Therefore, Debbie earned=$(x+1600)
calculate Debbie's earnings
According to the given information :
[tex]x+(x+1600)=7200\\$$\therefore 2 x=7200-1600\\$$\therefore 2 x=5600\\$$\therefore x=\frac{5600}{2}\\$$\therefore x=2800\\$[/tex]
thus, Jim's earnings =$2800
Debbie's earnings =2800+1600=$4400
What is an example of Earning?An example of earning is to be paid five dollars for washing a car. An example of earning is getting a promotion for being very good at your job. An example of to earn is to take a vacation after completing a difficult and time-consuming project. To gain (success, reward, recognition) through applied effort or work.
What do you call earning?Definitions of earnings. something that remunerates. “they saved a quarter of all their earnings” synonyms: pay, remuneration, salary, wage.
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