Answers
Related Questions
What is the solution to the system of equations below? Y=-4/5x-6 & y=-30
Answers
-30=-4/5x-6
And then solve for x:
Add 6 on both sides.
-24=-4/5x
Then multiply by the reciprocal of -4/5.
-5/4*-24=-5/4*-4/5x
x=30
But then you are gonna want to plug 30 in for x in y=-4/5x-6 to make sure that it is the same as y=-30.
The solution of the system is y = -30 and x = 30.
How to solve the system of equations?Here we have two equations:
y = -(4/5)*x - 6
y = -30
The second equation can be replaced in the first one, so we get:
-30 = -(4/5)*x - 6
Now we can solve that for x.
-30 + 6 = -(4/5)*x
24*(5/4) = x = 30
So the solution of the system is y = -30 and x = 30.
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a wheel has a radius of 12 cm approximately how far does it travel in 2 revolutions
Answers
Hello!
S=R*THETA
so s= is what you are looking for.
givens;
radius=12cm=.12m
theta(RADIANS ONLY)=2pi*2revs=4pi
s=.12*4pi=for an approximate answer of 1.50796m travelled
hope this helps. any questions please ask. thank you
cristal's gross semimonthly salary is $2968.50. What is the maximum amount she can afford to borrow for a home mortgage?
A) $71,244
B)$124,336
C)$142,488
D)$154,362
Answers
Answer:
C) 142,488
Step-by-step explanation: by adding up here semimonthly, also took test.
The maximum amount she can afford to borrow for a home mortgage is: C)$142,488.
Home mortgageAn employees who receive semimonthly salary will get 24 (12months×2) paychecks per year as the salary is paid twice per year.
Using this formula
Maximum amount= Gross semimonthly salary×24 paychecks×2
Let plug in the formula
Maximum amount=($2968.50×24)×2
Maximum amount=$71,244×2
Maximum amount=$142,488
Inconclusion the maximum amount she can afford to borrow for a home mortgage is: C)$142,488.
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What is the solution to 2h+8>3h-6
Answers
2h-3h>-6-8
-h>-14
h<14
Answer h∈(-∞;14)
Jason is buying a home theater system on layaway for $349. If he makes a down payment of $25 and pays $54 each week will it take Jason to pay for the home theater system?
Answers
First, you would take 349 and subtract 25 from it.(349-25=324) This gets rid of the down payment.
Next, you would divide 324 by 54. (324÷54=6)
It would take him 6 weeks!
Hope this helped! And make sure to check my calculations!
Godspeed
-Song
Jason will take 6 weeks to pay off the home theater system on layaway after making an initial down payment of $25 and weekly payments of $54.
The student's question is about how long it will take Jason to pay for a home theater system using a layaway plan. Jason has made an initial down payment of $25 and will make weekly payments of $54.
To calculate the time it will take to pay off the remaining balance, we subtract the down payment from the total cost: $349 - $25 = $324. Then, we divide the remaining balance by the weekly payment amount: $324 / $54 = 6. This means it will take Jason 6 weeks to pay off the home theater system on layaway.
please help thank you
Answers
When doing ratios, if you know the proportion of the length and width you just multiply that ratio to the origingal value
Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?
Answers
Heather's quadratic function must have a double root at x = -6, suggesting a function of the form y = a(x + 6)² here 'a' is a nonzero coefficient. The orientation and width of the parabola depend on the value of 'a'.
Since Heather's quadratic function represents a parabola that touches but does not cross the x-axis at x =
–6, her function must have a double root at x= –6. To achieve this, the quadratic function should be in the form y = a(x + 6), where a is a non-zero coefficient.
The function that Heather could be writing will have a vertex at the point (-6, 0), as the parabola touches the x-axis at this point. Thus, a possible function can be y = (x + 6), if we assume a coefficient of 1 for simplicity. If a is negative, the parabola will open downwards, while a positive a will make the parabola open upwards. However, the exact value of a will depend on other conditions Heather might have, such as the position of the parabola in relation to the y-axis or specific points it must pass through.
One reading list had a total of 12 fiction and nonfiction books. Compared to the first list, there are twice as many fiction books and 3 times as many nonfiction books making a total of 28 books on the second reading list. Write a system of linear equations and find the number of fiction and nonfiction books on the first list.
Answers
x = fiction books
y = nonfiction books
We write the system of equations that best suits the problem.
We have then:
x + y = 12
2x + 3y = 28
Solving the system:
x = 8
y = 4
Answer:
x + y = 12
2x + 3y = 28
the number of fiction and nonfiction books on the first list are:
8 fiction books
4 nonfiction books
Answer:
(8,4)
Step-by-step explanation:
yes
Write a polynomial function of f of least degree with rational coefficients a leading coefficient of 1 and the given zeros -5 2i
Answers
y = (x + 5)(x + 2i)(x - 2i) = (x - 5)(x^2 + 4)
which expands to
y = x^3 + 5x^2 + 4x + 20
Choose the option that correctly completes the statement.
The measure of an exterior angle of a triangle is _____ the sum of the measures of the remote interior angles.
less than
greater than
equal to
Answers
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
Explanation:The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
For any triangle, the sum of the measures of the three interior angles is always 180 degrees. An exterior angle is formed by extending one side of the triangle. The sum of the measures of the exterior angle and its corresponding remote interior angles is always 180 degrees. Therefore, the measure of an exterior angle is equal to the sum of the measures of the remote interior angles.
Final answer:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
Explanation:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
For example, if one of the remote interior angles of a triangle measures 40 degrees, then the corresponding exterior angle measures 40 degrees as well. The sum of the measures of the other two interior angles would be 140 degrees, making the exterior angle equal to 40 degrees.
Therefore, the correct option that completes the statement is equal to.
A rectangle has a length of 12 millimeters and a width of 17 millimeters.
What is the effect on the perimeter when the dimensions are multiplied by 12?
a. The perimeter is increased by a factor of 12.
b. The perimeter is increased by a factor of 48.
c. The perimeter is increased by a factor of 144.
d. The perimeter is increased by a factor of 576.
Answers
ok so original perimeter = 12 +12 + 17 +17 = 58 mm
if dimensions are multiplied by 12:
12*12 = 144 and 17*12 = 204
new perimeter = 144 +144 +204 +204 = 696 mm
696 / 58 = 12
so the perimeter increased by a factor of 12, answer is A
Answer:
The perimeter is increased by a factor of 12.
Option (a) is correct .
Step-by-step explanation:
Formula
Perimeter of a rectangle = 2 (Length + Breadth)
As given
A rectangle has a length of 12 millimeters and a width of 17 millimeters.
Perimeter of a rectangle = 2 × (12 + 17)
= 2 × 29
= 58 millimeters ²
As given
when the dimensions are multiplied by 12 .
New Length = 12 × 12
= 144 millimeter
New Breadth = 17 × 12
= 204 millimeter
Thus
New Perimeter of a rectangle = 2 × (144 + 204)
= 2 × 348
= 696 millimeter²
[tex]\frac{New\ perimeter\ of\ a\ rectangle}{Perimeter\ of\ a\ rectangle} = \frac{696}{58}[/tex]
[tex]\frac{New\ perimeter\ of\ a\ rectangle}{Perimeter\ of\ a\ rectangle} = 12[/tex]
Therefore the perimeter is increased by a factor of 12.
Option (a) is correct .
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a function rule to represent it. A. 128, 64, 32, 16, ... B. 3, 3.25, 3.5, 3.75, ...
Answers
.. a[n] = 128*(1/2)^(n -1)
B) arithmetic:
.. a[n] = 3 +0.25*(n -1)
_____
As you know, the general term of an aritnmetic sequence is
.. a[n] = a[1] +d*(n -1)
.. ... where a[1] is the first term (n=1) and d is the common difference. n is the term number.
Turning of the water while brushing your teeth saves 379 centiliters off water . how many liters of water can you save if you turn of the water while you brush three times'
Answers
"centi-" is a prefix meaning 1/100. 100 cL = 1 L.
While training for a marathon, Sean runs at least 28 miles a week. He has already ran 6 miles this week. The inequality shown can be used to find m, the number of miles Sean still needs to run this week. m + 6 ≥ 28 Which inequality represents the solution set for this situation? A) m ≥ 22 B) m ≤ 22 C) m ≤ 34 D) m ≥ 34
Answers
Explanation : Just l like a normal equation , we need to isolate the variable to get its value. We can do that by simply substracting 6 from both sides of the equation :
m + 6 >= 28
m + 6 - 6 >= 28 - 6
6 - 6 cancel out so we end up with
m >= 22
I hope you understood my brief explanation. And please consider marking this awnser as Branliest if you think it deserves it. Thank you so :)
Answer: A) m ≥ 22
Step-by-step explanation:
Hi, to answer this question we simply have to solve the inequality given for m (miles ran per week).
m + 6 ≥ 28
Subtracting 6 from both sides:
m+6-6 ≥ 28 -6
m ≥ 22
Sean still needs to run 22 miles this week.
So, the correct option is A) m ≥ 22
Feel free to ask for more if needed or if you did not understand something.
Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the local papers and pay $1.00. Their options are listed in the table.
Last Tuesday, the deli did not have any muffins. How did that affect the number of possible combinations?
A. It decreased the number of combinations by 1.
B. It decreased the number of combinations by 4.
C. It decreased the number of combinations by 8.
D. It decreased the number of combinations by 10.
Answers
Answer: C
c. It decreased the number of combinations by 8.
A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represents the number of checks written during the month, which function models this situation?
A) f(x) = x + 12.50
B) f(x) = 0.45x -12.50
C) f(x) = 12.50x + 0.45
D) f(x) = 0.45x + 12.50
Answers
The correct model for the bank service cost based on the number of checks written during a month is f(x)=0.45x + 12.50.
Explanation:The question is asking for a model that would represent the cost of a bank service based on the number of checks written during a month. The bank charges $0.45 for each check, which is a variable cost that will change depending on the number of checks, represented by x. Additionally, they also have a monthly fixed service charge of $12.50, which is paid regardless of whether or not a check is written that month.
So, the amount paid every month is $0.45 multiplied by the number of checks, plus $12.50. In function format, that will be represented as $0.45x + $12.50, which is equivalent to the option D i.e f(x)=0.45x + 12.50. So, the correct model for the situation is D.
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Dan and Dawn purchased a house for $69,500. They had to make a down
payment of 20%. How much was the amount of the mortgage they obtained?
a. $13,900
b. $69,500
c. $55,600
d. $76,450
GET A BRAINEST
Answers
I need help w/ this problem...please don't answer if you don't know and PLEASE answer as fast as you can...I'm desperate.
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Your angle is 65°.
The measure of the arc is 2×65° = 130°.
If you know the radius or how CD works (does it go through the center), then the answer will be less vague. The central angle = 2 * 65 = 130
the length of BC is
130/360 * 2*pi*r
13/18 * pi r is the general answer.
The distance between 2 points is found by ________ the x terms and squaring the result, _________ the y terms and squaring the result, taking the sum of the results and then finding the square root of the sum.
subtracting; subtracting
adding; adding
adding; subtracting
subtracting; adding
Answers
The goal is to find the legs of the right triangle, so you can find the hypotenuse. The hypotenuse is the distance between the two points. See the attached image.
Answer:
A)
subtracting; subtracting
Step-by-step explanation:
You work as a coordinator for data entry projects. On one project, the status report shows that 15% of the work was completed in 6 days. If the work progresses at the same rate, how many more days will be required to complete the remainder of the project?
Answers
Answer: They need 34 more days to complete the remainder of the project.
Step-by-step explanation:
Since we have given that
Number of days the work was done = 6 days
Part of work is completed in these days = 15%
If the work is done at the same rate,
then the remaining part of work is done in how many days.
Remaining part of work is 100% - 15% = 85 %
So, it becomes,
[tex]\dfrac{6}{0.15}=\dfrac{x}{0.85}\\\\x=\dfrac{6\times 0.85}{0.15}=34\ days[/tex]
Hence, they need 34 more days to complete the remainder of the project.
Complete the following statement of congruence: MON~= .
A. STR
B. TRS
C.RTS
D.RST
Answers
Answer:
∵ MON ≅ RTS
∴ The answer is C. RTS.
Step-by-step explanation:
When two triangles are congruent, they will have congruent pairs of vertices. Each vertex in one triangle will have a partner in the other triangle.
Congruent vertex pairsIf we look at ΔMON, we can see it is almost like a right triangle, with:
'M' as the almost-right angle;'O' at the end of the long side, and;'N' at the end of the short side.In the next triangle, each letter has to be in the same order as the congruent vertex in ΔMON.
This triangle is ΔRTS, with:
'R' as the almost-right angle;'T' at the end of the long side, and;'S' at the end of the short side.Thus, the pairs of congruent angles are:
M ≅ RO ≅ TN ≅ SWhen we write the statement of congruence, we order the letters by their congruent pair.
∴ MON ≅ RTS
The area of the blue triangle, which is one-half times a base of 47 million times a height of $37.89.
Answers
Using the formula v= l x w x h find the volume of a right rectangular prism when the length of the prism is 45cm the width is 12cm and height is 10cm
Answers
V = 45 * 12 * 10
V = 5400
Hope this helps
The volume of the right rectangular prism is 5400 cubic centimeter.
What is right rectangular prism?
A right rectangular prism is a three dimensional object with six faces, twelve edges, and eight vertices.
Formula for the volume of right rectangular prism:volume of right rectangular prism = length × width × height
According to the given question we have,
length of the prism = 45cm
width of the prism = 12cm
height of the prism = 10cm
Therefore,
The volume of the right rectangular prism = length × width × height
⇒ volume of prism = 45 × 12 × 10 = 5400 cubic centimeter.
Hence, the volume of the right rectangular prism is 5400 cubic centimeter.
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Charlie is trying to hold on to his toy fire truck.
His brother Noah is pulling with a force of 8 N on a bearing of 023° and his brother Jude with a force of 5 N on a bearing of 155°.
What force does Charlie need to exert to keep the toy in equilibrium?
If you could explain it using Cartesian vectors, that would be the best.
Answers
Charlie needs to apply a force in the opposite direction of the resultant vector sum of his brothers' forces. By converting the forces into Cartesian vectors based on the bearings, we can calculate the components of Charlie's required force to maintain equilibrium.
Explanation:Step 1: Break down the forces into their x and y components
The force exerted by Noah can be broken down into its x and y components using the following equations:
F_x_Noah = F_Noah × cos(θ_Noah) = 8 N × cos(023°) ≈ 7.13 N
F_y_Noah = F_Noah × sin(θ_Noah) = 8 N × sin(023°) ≈ 3.71 N
The force exerted by Jude can be broken down into its x and y components using the following equations:
F_x_Jude = F_Jude × cos(θ_Jude) = 5 N × cos(155°) ≈ -4.95 N
F_y_Jude = F_Jude × sin(θ_Jude) = 5 N × sin(155°) ≈ -0.58 N
Step 2: Sum the x and y components of the forces
To find the net force in the x-direction, we sum the x-components of the forces exerted by Noah and Jude:
F_x_net = F_x_Noah + F_x_Jude ≈ 7.13 N - 4.95 N ≈ 2.18 N
To find the net force in the y-direction, we sum the y-components of the forces exerted by Noah and Jude:
F_y_net = F_y_Noah + F_y_Jude ≈ 3.71 N - 0.58 N ≈ 3.13 N
Step 3: Calculate the magnitude of the net force
The magnitude of the net force can be calculated using the Pythagorean theorem:
F_net = √(F_x_net^2 + F_y_net^2) ≈ √(2.18 N^2 + 3.13 N^2) ≈ 3.74 N
Step 4: Find the angle of the net force
The angle of the net force can be calculated using the following equation:
θ_net = atan(F_y_net / F_x_net) ≈ atan(3.13 N / 2.18 N) ≈ 55.6°
Step 5: Calculate the force Charlie needs to exert
In order for Charlie to keep the toy fire truck in equilibrium, he needs to exert a force that is equal in magnitude and opposite in direction to the net force. Therefore, the force Charlie needs to exert is 3.74 N at an angle of 55.6° + 180° = 235.6° (since the net force is acting in the third quadrant).
It's been estimated that if you consume an extra 3,500 calories, you will gain 1 pound of fat. one can of soda contains 40 grams of sugar. sugar has 4 calories per gram. if a person drinks a six-pack of soda every day, how many pounds will he or she gain in 1 year?
Answers
1 can of soda---------------> 40 grams of sugar
if 1 gram sugar------------------------------------>has 4 calories
40 grams (1 can of soda)-----------------------> X
X=40*4=160 calories
then
1 can of soda--------------> has 160 calories
six-pack of soda every day--------------> 6*160=960 calories every day
in one year------------> 960*365=350400 calories in one year
if 3500 calories----------------> 1 pound of fat
350400 calories----------------X
X=350400/3500=100.11 pound
In one year she or he will gains 100.11 pound of fat
the answer is 100.11 pound
A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus?
Answers
The answer is the first option: 10/Cos(30°)
Explanation:
1. As you can see in the figure attached, there is a right triangle and its hypotenuse (which is represented with the letter "x") is the side you want to calculate. So, you have:
Cos(α)=Adjacent leg/Hypotenuse
α=30°
Adjacent leg=(20 in)/2=10 in
Hypotenuse=x
2. When you substitute these values into the formula, you obtain:
Cos(α)=Adjacent leg/Hypotenuse
Cos(30°)=10/x
3. Therefore, you obtain the expression to determine the side length of the rhombus by clearing the hypotenuse "x", as below:
x=10/Cos(30°)
Answer:
A
Step-by-step explanation:
10/cos30 degree
The volume of a cylinder is given by the formula mc021-1.jpg, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder? r=x-3 h=2x+7
Answers
r= x-3, while h =2x+7
Thus; volume = π(x-3)²(2x+7)
=π(x²-6x+9)(2x+7)
=π( 2x³-12x²+18x +7x²-42x+63
= π(2x³-5x²+24x+63) cubic units
It can be express as follows: v = π(2x³- 5x²- 24x + 63) cubic unit
The volume of a cylinder is given as follows
volume = πr²h
where
h = height
r = base radius
Therefore,
r = x - 3
h = 2x + 7
Therefore,
The volume can be express as follows
v = π × (x-3)² × (2x + 7)
v = π × x² - 6x + 9 ×(2x + 7)
v = π × 2x³- 12x² + 18x + 7x² - 42x + 63
v = π × 2x³- 5x²- 24x + 63
v = π(2x³- 5x²- 24x + 63) cubic unit
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He perimeter of this pentagon is 280 cm. find the lengths of the sides.
Answers
280 / 5 which equals 56 cm
Factor this equation
Answers
9x^2-27xy
9x(x-3y)
This is now factored. I pulled out the greatest common factor:)
Answer:
9x(x-3y)
Step-by-step explanation:
to factor, you need to take the greatest common factor out. with this one, the greatest common factors are 9 and x
answer would be...
9x(x-3y)
I need help in the problem
some people can help me plz
Answers
.. x +(2x +4) = 7
.. 3x +4 = 7 . . . . . collect terms
I know you can solve it from there. (x, y) = (1, 6)
3. Let "o" and "r" represent the numbers of orange fish and red fish, respectively.
.. o +r = 31 . . . . . there are 31 fish in a tank
.. o = 7 +r/2 . . . . there are 7 more orange fish than half the number of red fish
The second equation can be substituted into the first.
.. (7 +r/2) +r = 31
.. (3r/2) = 24 . . . . . . subtract 7
.. r = (2/3)*24 . . . . . .multiply by the inverse of the coefficient of r
I know you can solve it from there. (o, r) = (15, 16)