Answers
Related Questions
Solve for j
j/-2 + 7 =-12
Answers
(j/2) + 7 - 7 = -12 - 7 // Subtraction Property of Equality
(j/2) = -19 // Simplify
(j/2) • 2 = -19 • 2 // Multiplication Property of Addition
j = -38
If you have any questions about the process, let me know
The required value of j is 38.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now the given expression is
j/-2 + 7 =-12
Substracting 7 both the side. We get,
j/-2 + 7 -7 = -12 - 7
Solving both sides,
j/-2 = -19
Now multiplying whole equation with -2,so the equation becomes
j = 38
which is the required value of j.
Hence,the required value of j is 38.
More about linear equation:
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Sue can sew a precut dress in 3 hours. helen can sew the same dress in 2 hours. if they work together, how long will it take them to complete sewing that dress? round to one decimal place.
Answers
The LCD is 2*3*t.
If you multiply everything by the LCD, you can clear your fractions.
6t (1/3) + 6t (1/2) = 6t (1/t)
2t + 3t = 6
5t = 6
5t/5 = 6/5
Answer:
Which is: t = 1.2 hrs.
Final answer:
Sue and Helen can sew a dress in 1.2 hours when working together.
Explanation:
Calculating Time to Sew a Dress Together
Sue and Helen are working together to sew a dress and we need to calculate the total time it will take them to complete the sewing when working simultaneously. Sue can sew a precut dress in 3 hours, which means Sue's rate is 1 dress per 3 hours, or
1/3 dress per hour. Helen can sew the same dress in 2 hours, which means Helen's rate is 1 dress per 2 hours, or
1/2 dress per hour. Working together, their combined rate is the sum of their individual rates:
Total rate = 1/3 + 1/2
This results in a combined rate of 5/6 dresses per hour when we find a common denominator and add the fractions. To find the time it takes them to sew one dress together, we take the reciprocal of their combined rate:
Time = 1 / (5/6) hours
This simplifies to 6/5 hours.
Therefore, Sue and Helen will take 1.2 hours to complete the dress when working together.
A car travels at an average speed of 40 miles per hour for the first 100 miles of a 200-mile trip, and at an average speed of 50 miles per hour for the final 100 miles. what is the car's average speed for the entire 200-mile trip?
Answers
Time needed for the first 100 miles
= 100 ÷ 40 = 2.5 hours
Time needed for the second 100 miles
= 100 ÷ 50 = 2 hours
Total time = 2.5 + 2 = 4.5 hours
Average speed = 200 ÷ 4.5 hours = 44.4 miles per hour
A rectangle has perimeter 68 meters, and its area is 280 sq-meters. find the dimensions of this rectangle. (for purposes of this problem only, the width is shorter than the length.)
Answers
Perimeter is 68 meters
2(x + y) = 68
x + y = 34
x = 34 - y ------------------ (1)
Area = 280
xy = 280 ------------------- (2)
Sub (1) into (2):
(34 - y)y = 280
34y - y² = 280
y² - 34y + 280 = 0
(x - 14)(x - 20) = 0
x = 14 or x = 20
The dimension of this rectangle is 14 meters by 20 meters
Final answer:
The rectangle's length to be 20 meters and the width to be 14 meters.
Explanation:
We are given that a rectangle has a perimeter of 68 meters and an area of 280 square meters, and we need to find its dimensions. Let's call the length of the rectangle L and the width W.
The perimeter (P) of a rectangle is given by the formula P = 2L + 2W. We know the perimeter is 68 meters, so we can write the equation:
1. 68 = 2L + 2W
The area (A) of a rectangle is given by the formula A = L × W. We know the area is 280 square meters, so we can write the equation:
2. 280 = L × W
To find L and W, we solve these two equations simultaneously.
Divide the perimeter equation by 2 to simplify:
34 = L + W
We can then express W in terms of L using this equation:
W = 34 - L
Substitute this into the area equation:
280 = L × (34 - L)
This gives us a quadratic equation:
L2 - 34L + 280 = 0
Solving this quadratic equation, we find that L = 20 and W = 14 or L = 14 and W = 20. Since the width is shorter than the length, the dimensions of the rectangle are length 20 meters and width 14 meters.
What is the value of x?
Answers
40/8 =5
x = 5
hope this helps
You can find the distance between two points on a number line by using the Pythagorean theorem.
Answers
Answer:
It is false
Twenty-four students took a test. Fourteen students earned an A and 10 students earned a
b.A student will be randomly chosen.What is the probability that the student earned an A on the last test? Enter your answer as a fraction , in simplest form , in the box .
Answers
Number of students who scored an A is 14
Number of students who scored a B is 10
Probability that when we randomly select a student, he/she will have an A is:
(Number of students that scored A)/(Total number of students)
=14/24
=7/12
Therefore our answer is 7/12
The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of the area when r = 5 inches and r = 21 inches. (a) r = 5 inches
Answers
dA/dt=dA/dr×dr/dt
dA/dr=2πr
dA/dt=2πr dr/dt
we are told that the radius is increasing at the rate 3 in/min
dr/dt=3 in/min
we are required to find:
a] (dA/dt) when radius is r=5 inch
dA/dt=2πr dr/dt
dA/dt=2π(5)×3
dA/dt=30π in²/ min
b] (dA/dt) when radius is r=21 in
dA/dt=2πr dr/dt
dA/dt=2π(21)×3
dA/dt=126π in²/min
Final answer:
The rate of change of the area of a circle with a radius increasing at a constant rate can be calculated using the derivative of the area formula. For r = 5 inches, the rate is 30π square inches per minute and for r = 21 inches, the rate is 126π square inches per minute.
Explanation:
The student is asking about the rate of change of the area of a circle when its radius is increasing at a constant rate. This is a calculus problem that involves derivatives and can be solved using the formula for the area of a circle, A = πr² where A is the area and r is the radius. The rate of change of the radius, ℓr/ℓt, is given as 3 inches per minute.
To find the rate of change of the area, denoted as ℓA/ℓt, we take the derivative of A with respect to t, using the chain rule, which gives us ℓA/ℓt = 2πr(ℓr/ℓt). When r = 5 inches, substituting the values, we obtain ℓA/ℓt = 2π(5)(3) = 30π square inches per minute. Similarly, when r = 21 inches, ℓA/ℓt = 2π(21)(3) = 126π square inches per minute.
What is the y intercept of the line given by the equation y= 8x + 75
Answers
Answer: (0,8)
Step-by-step explanation:
here you go
Mr. Foley wants to randomly select 3 students for a committee. He used 3 coins to conduct a simulation to predict the probability that the committee will have at least 2 girls. The results of 16 trials of the simulation are shown below. Let H represent a girl and T represent a boy.
TTH HTH THH HHH
HTT THT THT HHT
HHT THH TTT HTT
HHH HTH TTH HHT
Based on the results of the simulation, what is the probability that the committee Mr. Foley selects will have at LEAST 2 girls?
Answers
This is because in the simulation, 9 of the results had 2 or 3 girls, and there was a total of 16 choices.
Find the complement of an angle whose measure is 74 degrees. Show all work.
Answers
angle = 16°
Explanation:
Complementary angles are angles that add up to 90°
Assume that the angle that we are looking for is x.
Based on the definition of the complementary angles, the equation will be as follows:
x + 74 = 90
Now, we will simply solve for x as follows:
x = 90 - 74
x = 16°
Hope this helps :)
Answer:
16⁰
Step-by-step explanation:
Angle = 74⁰
Complement = 90 - 74 = 16⁰
The first term in a geometric sequence is 1/9 and the common ratio is −3. Find the 7th term in the sequence.
Answers
Let n=7
Finding the 7th term, the answer is -3^4 = =-81
The 7th term of the sequence is 81
The nth term of a geometric sequence is expressed as:
[tex]T_n=ar^{n-1}[/tex]
a is the first term = 1/9r is the common ratio = -3n is the number of terms = 7Substitute the given parameters into the formula to have:
[tex]T_7=1/9(-3)^{7-1}\\T_7=1/9(-3)^6\\T_7=1/9(729)\\T_7=81[/tex]
Hence the 7th term of the sequence is 81
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HELP ASAP PLZ
what values of a, b, and c would you use in the quadratic formula for the following equation? 5x^2+9x=4
1. a=-4,b=9,c=5
2.a=5,b=9,c=-4
3.a=5,b=-4,c=9
4.a=5,b=9,c=4
Answers
a = 5, b = 9, c = -4
This is because the equation should be equal to zero before finding the terms.
The standard form is given by :
[tex] ax^{2} +bx +c=0 [/tex]
So we have to convert given equation in this form by bringing all terms to one side and making 0 on the other side.
[tex] 5x^{2} +9x=4 [/tex]
Now we have to bring 4 to the left side,
subtracting 4 on the left,
[tex] 5x^{2} +9x-4=0 [/tex]
Comparing our equation with standard form,
Answer : a=5, b=9 and c=-4 ( second option is right )
A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high.
Approximately how much salsa did Kelly eat?
Round your final answer to the nearest whole number.
188 cm³
565 cm³
679 cm³
1244 cm³
Answers
Before we begin please note that a jar is always cylindrical in shape if not mentioned otherwise. Thus, we will take a cylindrical jar in this case.
Since Kelly eats some of the salsa and the salsa in the jar is now 6 cm high, we know that Kelly ate the amount of Salsa whose volume is missing from the jar.
To find the missing volume on the Salsa jar all that we need to do is to find the height of the missing volume which is given to us as h= 6 cm. We already know that the radius of the jar, r=6 cm. Thus, the amount of Salsa Kelly has eaten is:
[tex] V=\pi(6)^2\times 6\approx678.6\approx679 [/tex] [tex] cm^3 [/tex]
Thus, the third option is the correct answer
find the simplified form of (-7.4)^0?
A.-1
B.-7.4
C.0
D.1
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Final answer:
Any non-zero number raised to the power of 0 is 1, so the simplified form of (-7.4)⁰ is 1 that is option D is correct.
Explanation:
The simplified form of (-7.4)⁰ is determined by one of the fundamental rules of exponents, which states that any non-zero number raised to the power of 0 is 1. This means that regardless of what the base number is, as long as it is not zero, if the exponent is 0, the result will always be 1. It is important to note that 0^0 is an indeterminate form and is not covered by this rule. Therefore, the simplified form of (-7.4)⁰ is:
D. 1
Plzzz help will give the brainliest for correct answer
Answers
The Pythagorean theorem is a squared plus b squared equals c.
c would equal the hypotenuse.
b is the opposite.
a is the adjacent.
you would do 24 squared plus x squared = 26 squared
after you square 24 and 26
576+x=676
-576. -576
-----------------
x=100
square root it to get
x=10
d is your answer
24²+b²=26²
576+b²=676²
676-576=100
b²=100
Then you square root 100.
b=10
Your answer is 10!
Hope that helps! :D
Bill had saved $825 from his last 8 paychecks. He saved either 75$ or 150$ a paycheck.for the 8 paychecks,how many times did bill save $75 from his paycheck
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Let us assume the number of times Bill saved $75 from his paycheck = x
Let us assume he number of times Bill saved $150 from his paycheck = y
Since he saved 75$ or 150$ for the 8 paychecks.
So, x+y=8
y=8-x (Equation 1)
Since Bill saved $825 from his last 8 paychecks using $75 or $150.
So, 75x+150y=825 (Equation 2)
Substituting the value of 'y' from equation 1 in equation 2,
[tex] 75x+150(8-x)=825 [/tex]
[tex] 75x+1200-150x=825 [/tex]
[tex] 75x-150x=825-1200 [/tex]
[tex] -75x=-375 [/tex]
x = 5
Therefore, Bill saved $75, 5 times from his paycheck.
Answer:
5
Step-by-step explanation:
please help i have 2 questions thank you
Answers
Here is your answer:
Since the second question is already solved ill solve the first on:
The proper answer to this question is option D "17.2".
Here is how:
Formula for area:
b*w*h
3*7=21
21-3.7=17.2
Your answer is D.
If you need anymore help feel free to ask me!
Hope this helps!
PLEASE HELP FAST!!!!
As a pendulum swings , the angle (theta) that it makes with the vertical changes through its swing. The force of gravity pulling on the bob is given by F=mg sin (theta), where g is equal to 9.8m/s^2. If the mass of the pendulum is 0.01 kg, what is the force pulling on the pendulum when it makes a 22.5 degree angle with the vertical?
Answers
Where m is the mass of the pendulum, g is the gravity, while θ is the angle between the pendulum and the vertical.
Therefore, m = 0.01 kg, g = 9.8 m/s² and θ = 22.5
Force = 0.01 × 9.8× sin 22.5
= 0.098 × sin 22.5
= 0.0375 Newtons.
Answer:
Answer B
Step-by-step explanation:
The already given answer is correct, but if you need to know what answer it is without getting your calculator out, its B, or
0.049 (square)2 -(square) 2 N
0.049√2-√2 N
2. Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the rest with a 4-year auto loan at 2.6% APR.
Answers
To find this value, you just need to start with the numbers that you know.
First, find the cost of the loan. 14390 - 1000 - 1500 = 11890
We have to subtract her down payment and trade in allowance.
Then, we need the rate of 2.6%
Finally, the term of the loan is 4 years or 48 months.
Simply plug these values into your equation or use an online calculator. There are numerous ones you can find online.
Answer:
$261.08
Step-by-step explanation:
Worth of Car=$14,390
Trade-in allowance=$1000
Down Payment= $1500
Value of Loan=14390-(1000+1500)
=$11890
The Monthly Payment for a loan P, taken at a Monthly interest rate, r for a number of m months, is gotten using the formula:
[TeX] Monthly\:Payment=\frac{rP}{1-(1+r)^{-m}} [/TeX]
P=$11890
Monthly Interest Rate,r=0.026/12=0.002167
Number of Months, m=4*12=48 Months
[TeX] Monthly\:Payment=\frac{0.002167*11890}{1-(1+0.002167)^{-48}} [/TeX]
=$261.08
The Monthly Payment on the car loan is $261.08.
mittens are marked down 25% the sale price is 3.15 a pair what was the original price of a pair of mittens
Answers
I did this by taking 3.15 / 0.25
when I do percentages at the store with sales, I always take whatever the percent off is, off the dollar amount.. so 25% would be to take 25 cents off every dollar.
What is the period of the sinusoid given by y=-3cos(2pi/5 x)?
Answers
y=a cos (bx+c) +d
a=-3; b=2pi/5; c=0; and d=0
Period: P=2pi/b
P=2pi/(2pi/5)
P=2pi*[5/(2pi)]
P=(2pi*5)/(2pi)
P=5
Answer: The period of the sinusoid given by y=-3cos(2pi/5 x) is 5.
Read the following statement.
At least one angle is acute.
What is the first step of indirectly proving this statement?
Assume none of the angles are acute.
Assume at least one angle is obtuse.
Assume at least one angle is not acute.
Assume none of the angles are obtuse.
Answers
Answer:
Assume at least one angle is not acute.
Step-by-step explanation:
With an indirect proof, instead of proving that something must be true, you prove it indirectly by showing that it cannot be false.
An indirect prove starts assuming that the statement is false and then your goal is to arrive at a contradiction. Then, in this case, the first step of indirectly proving at least one angle is acute is assume at least one angle is not acute.
A trapezoid has bases that measure 10 centimeters and 14 centimeters and a height that measures 8 centimeters. What is the area?
Answers
Hope this helped!
Brainliest Plz?
lemon squash 2 parts concentrate to 5 parts of water. if you put 90ml of concentrate in a glass, how much water should be added?
Answers
It is given in the question that in the lemon squash 2 parts concentrate is added to 5 parts of water. Thus it makes the concentrate to water ratio as 2:5 or [tex] \frac{2}{5} [/tex]. Now, if this ratio is maintained then the amount of water to be added to 90 ml concentrate in a glass can be calculated as:
[tex] \frac{2}{5}=\frac{90}{x} [/tex]
Where x is the amount of water to be added, in ml (milliliters).
Cross multiplication of the above equation will give us:
[tex] 2x=90\times 5=450 [/tex]
Dividing both sides by 2 we will get:
[tex] x=\frac{450}{2}=225 [/tex]
Thus, if we put 90ml of concentrate in a glass, the water that should be added must be 225 ml.
The amount of water should be added is 225 ml if the lemon squash is 2 parts concentrated to 5 parts of water. if you put 90ml of concentrate in a glass
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign: between the numbers.
We have:
Lemon squash 2 parts concentrate to 5 parts of water.
Let's suppose the amount of water is x ml
Then according to the problems the ratios:
[tex]\frac{2}{5} =\frac{90}{x}[/tex]
2x = 90×5
2x = 450
x = 225 ml
Thus, the amount of water should be added is 225 ml if the lemon squash is 2 parts concentrated to 5 parts of water. if you put 90ml of concentrate in a glass
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Find the length of the hypotenuse of a right triangle to the nearest tenth of a foot if the lengths of the legs are 13 and 15 feet.
Answers
JK, the answer is 19.8
the fortaleza telescope in brazil is a radio telescope. its shape can approximated with the equation y=0.013x2 is the relationship between x and y linear? is it proportional? explain
Answers
No, the relationship between x and y is not linear, because x has power 2. To be a linear relationship the powers of x and y must be 1.
Is it proportional?
No, it is not proportional.
Only is proportional for x>0. For x<0 is inversily proportional.
we have that
the given equation is
[tex]y=0.013x^{2}[/tex]
we know that
The general linear equation is equal to
[tex]y=mx+b[/tex]
where
m and b are real numbers
Every equation in this form is a linear equation. The linear equations represent linear functions. Equations than cannot be written in this form are not linear equations, and therefore are not linear functions
The given equation is not a line, is a quadratic equation, therefore is not a linear equation, is a non linear function.
Only a linear relationship can be proportional,
so
the relationship is not proportional
therefore
the answer is
the relationship between x and y is a non linear function and is not proportional
A rectangular piece of plastic has an area of 10 square millimeters and a perimeter of 22 millimeters. What are the dimensions of the piece of plastic? millimeters by millimeters
Answers
The dimensions of the rectangular piece of plastic are either 2mm by 5mm or 5mm by 2mm, based on the given area and perimeter.
Explanation:We'll use the formula for the perimeter of a rectangle: 2(length + width) = perimeter and the formula for area: length x width = area. Given we have area of 10mm2 and perimeter of 22mm, we can set up two equations. Let's denote the length as 'L' and the width as 'W'.
Formula of perimeter of a rectangle: 2(L + W) = 22
Formula of area of a rectangle: L * W = 10.
We solve these two equations simultaneously. We get two possible solutions: Dimensions could be either {2mm, 5mm} or {5mm, 2mm}. Either the length is 5mm and the width is 2mm, or the length is 2mm and the width is 5mm.
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Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from
A) 4
b) square Root of 18
C) 8
D) Square root of 68
Answers
the median is the segment that joins each vertex with the midpoint of the opposite side
using a graph tool
see the attached figure
Step 1
Find the midpoint segment BC
B(4, –1), and C(–2, –9)
Xm=(4-2)/2=1
Ym=(-1-9)/2=-5
the midpoint BC is (1,-5)
the length of median is the distance point A(-6,7) and midpoint BC (1,-5)
d=√(12²+7²)=√193=13.89 units
the answer is 13.89 units
Use the angle sum identity to find the exact value of cos 105