Answer:
The length = x = 15 unitsThe width = x-5 = 10 unitsStep-by-step explanation:
Let 'x' be the length of a rectangle
As the width of a rectangle is 5 units less than the length.
so
width of rectangle will be = w = x - 5 units
Area = 150 square units
Using the formula
Area = length × width
[tex]150=\left(x\right)\left(x-5\right)[/tex]
[tex]150=x^2-5x[/tex]
[tex]x^2-5x=150[/tex]
Subtract 50 from both sides
[tex]x^2-5x-150=150-150[/tex]
[tex]x^2-5x-150=0[/tex]
[tex]\left(x+10\right)\left(x-15\right)=0[/tex]
if
[tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+10=0\quad \mathrm{or}\quad \:x-15=0[/tex]
[tex]x=-10,\:x=15[/tex]
As length can not be negative. so
x = 15 units
Hence,
The length = x = 15 units
The width = x-5 = 15-5 = 10 units
A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?
Answer:
$2.25 per movie
Step-by-step explanation:
3(4)= $12
$12-$3= $9
$9/4= $2.25
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answer:
25
Step-by-step explanation:
Write an inequality for the graph below.
please help !!
Answer:
(1,5) and (2,1)
Step-by-step explanation:
we can count the graph which has given in red circle
In a study of 300 students under 25 years old, 21 have not yet learned to drive. What percentage can drive
Answer:
7%
Step-by-step explanation:
300/21 is 0.07, and 0.07 in percent form is 7%
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Answer:
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Let
x = number of tickets sold for $26
y = number of tickets sold for $40
x + y = 6000
x = 6000 - y
$26 × x + $40 × y= $185, 400
26x + 40y = 185400
Substitute
26(6000 - y) + 40y = 185400
156000 - 26y + 40y = 185400
Collect like terms
- 26y + 40y = 185400 - 156000
14y = 29400
y = 29400/14
y = 2100 tickets
x = 6000 - y
x = 6000 - 2100
x = 3900 tickets
Hence
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
A Fahrenheit thermometer shows that the temperature is 13 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit
Answer:
-13??? weird question... do you mean celcius themometer?
Step-by-step explanation:
Answer:
The integer that represents 13 degrees below 0 is -13°F.
Step-by-step explanation:
This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.
P.S.
This question was asked by somebody else and I answered already so I am not copying the answer!
Hope this helps! :)
1. In the Mauritius warehouse, 145 kg of corn and 105 kg of beans are stored. Answer back:
A) What percentage of the total production does corn represent?
B) What percentage of the total production does beans represent?
Answer:A) 58% and B) 42%
Step-by-step explanation:
Plz brainliest: I’m almost an expert plz
Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11
Answer:
2; 5; 8
Step-by-step explanation:
To fill in the table, we need to generate an equation to represent the relationship between x and y.
First, find the slope using the two pairs given, (5, -1) and (25, 11):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]
m = ⅗.
Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.
[tex] y - y_1 = m(x - x_1) [/tex]
Where,
[tex] x_1 = 5, y_1 = -1 [/tex]
m = ⅗.
Plug in the values
[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3x}{5} - 3 [/tex]
Subtract 1 from both sides
[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]
[tex] y = \frac{3x}{5} - 4 [/tex]
Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.
✔️When x = 10:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]
[tex] y = 2 [/tex]
✔️When x = 15:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]
[tex] y = 5 [/tex]
✔️When x = 20:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]
[tex] y = 8 [/tex]
Answer:
2,5,8
Step-by-step explanation:
It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.
Answer:
what is it asking
Step-by-step explanation:
Suppose the price of one item was $12, and the price of another item was $20. What would figuring out a common multiple of 12 and 20 tell you?
Answer:
hi
Step-by-step explanation:
I think the answer is a number
Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
What is a factor?A factor is a number that divides another number, leaving no remainder
We have,
Cost of one-item = $12
Cost of another-item = $20
We can find out some common multiple of both the numbers 12 and 20.
12 x 1 = 12 20 x 1 = 20
12 x 2 = 24 20 x 2 = 40
12 x 3 = 36 20 x 3 - 60
12 x 4 = 48 20 x 4 = 80
12 x 5 = 60 20 x 5 = 100
12 x 7 = 84 20 x 6 = 120
12 x 8 = 96
12 x 9 = 108
12 x 10 = 120
We see that we have two common multiples from the above multiples.
i,e 60 and 120
Now,
The factor in the multiples are:
12 x 5 = 60
12 x 10 = 120
20 x 3 = 60
20 x 6 = 120
This means that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
Thus,
Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
Learn more about factors here:
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Hey pls help me in this thanks a lot
Answer:
m= -13-q+15h, h€R, q€RAmy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?
Answer:
448 miles
Step-by-step explanation:
Amy's car can hold 15 gallons of gas. Provided that each gallon can drive her 32 miles. This means that 15 gallons can drive her 480 miles.
15 gallons x 32 miles = 480 miles
However, she needs to keep 1 gallon of gas in the tank for safety reasons. So we have to subtract 1 gallon from 15 gallons.
15 gallons - 1 gallon = 14 gallons
Now, let's compute again.
14 gallons x 32 miles = 448 miles
Amy can drive 448 miles before she needs to fill up the tank again.
Factor out the coefficient of the variable 2/3j - 2/9
answer: hey lol*sharts loudly*
Step-by-step explanation:
you just need to use the bathroom next time;))))
Charlie T. Mole ate 16 insects. Anabel H. Mole ate 26
insects. How many more insects did Anabel eat
Answer:
10
Step-by-step explanation:
this is easy... subtraction
Please help I’ll mark brainliest if u give a small explanation
10. If a rectangular prism has a volume of 60 cubic inches and all dimensions are doubled, what is the new
volume?
d. 30 in
c.
b. 120 in
60 in
480 in
a.
Answer:
New volume on this is 480 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is area of base * height
That would be;
l * b * h = lbh
we have all this as 60
Doubling all, we have
2l * 2b * 2h = 8lbh
Recall lbh = 60
So 8lbh = 8 * 60 = 480 cubic inches
(4k^4)(-3k)^3
My math teacher gave me this and I don’t know what to do
Answer:
-12k^7
Step-by-step explanation:
Multiply coefficients, then add the exponents
Answer:
-1.03277491 × 10-158 m14 kg7 s-14 K-7
Step-by-step explanation:
here
Find the missing angle.
200
180
A
100
B
50
SO
D) 70
Answer:
the answer is c) 80
all angles of the Triangle will have a sum of 180. 80+20=100 ... 180-100= 80
HELP PLEASE NEED IT ASAP
Answer:
x=-4 x=2
Step-by-step explanation:
BRAINLIEST PLS
a tv costs 800 plus vat at 20% what is the total cost of the tv
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
b. Use your equation to find the total monthly cost if 624 minutes are used
Answer:
a) $141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b) $244.4
Step-by-step explanation:
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
If a customer uses 330 minutes, the monthly cost will be $141.5.
y = mx + b
$141.5 = 330m + b
If the customer uses 890 minutes, the monthly cost will be $337.5.
$337.5 = 890m + b
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b. Use your equation to find the total monthly cost if 624 minutes are used
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
We Subtract Equation 2 from 1
-196 = -560m
m = -196/-560
m = 0.35
$337.5 = 890m + b..... Equation 2
$337.5 = 890 × 0.35 + b
$337.5 - 311.5 = b
b = 26
When x = 624
y = 624× m + b
m = 0.35 , b = 26
y = 624 × 0.35 + 26
y = 218.4 + 26
y = $ 244.4
Simplify the expression. 55−4x5+12
Answer:
First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.
Answer: 62.5
Step-by-step explanation:
Hope this helps!
:)
Norman earns $675 per month walking dogs he has to pay 8.5% tax on his income how much tax did he pay
Answer:
57.375
Step-by-step explanation:
Multiply then move the decimal
Answer:
57.375
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 675 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 675 is 100%, so we can write it down as 675=100%.
4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.
5. Now we have two simple equations:
1) 675=100%
2) x=8.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
675/x=100%/8.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 8.5% of 675
675/x=100/8.5
(675/x)*x=(100/8.5)*x - we multiply both sides of the equation by x
675=11.764705882353*x - we divide both sides of the equation by (11.764705882353) to get x
675/11.764705882353=x
57.375=x
x=57.375
now we have:
8.5% of 675=57.375
hope it helpsssssss :)
sssssssssssssss
Find the equation of the straight line line passing through the point ( 0 , 1 ) which is perpendicular to the line y = -2x + 2
Step-by-step explanation:
y=-2x+2
hence the gradient is -2
gradient of perpendicular line
m1m2=-1
-2m2=-1
2m2=1
m2=1/2
so equation when m=1/2
m(x-x1)=y-y1
0.5(x-0)=y-1
0.5x-0=y-1
0.5x+1=y hence this is the equation
Round your answer to tenth place. A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox. Drawings of both sandboxes are shown. 14 ft 18 ft 20 ft Park Sandbox 8 ft Todd's Sandbox What is the perimeter, in feet (ft), of Todd's sandbox? DOLL
No picture given for this problem. Repost.
segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?
As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.
Answer:
we conclude that the segment AB was dilated by scale factor 3.
Step-by-step explanation:
From the diagram, it is clear that the original points A and B are located
at (0, 2) and (2, 3) respectively.
i.e.
A(0, 2)B(2, 3)As the coordinates of the dilated segment A'B' are given as:
A'(0, 6)B'(6, 9)A scale factor is basically a number that multiplies an object or quantity.
For instance, the 'D' in [tex]y = Dx[/tex] is the scale factor for x.
If the equation were y = 7x, then the factor would have been 5.
As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).
i.e.
A(0, 2) → (0×3, 2×3) = A'(0, 6)
B(2, 3) → (2×3, 3×3) = B'(6, 9)
Therefore, we conclude that the segment AB was dilated by scale factor 3.
Answer:
Segment AB was dilated by scale factor 3.
Step-by-step explanation:
The person above is correct tahnk you!!!
How much fencing is needed to enclose a field that is 300 meters by 600 meters?
1800 meters of fencing is required to enclose a field.
Given that, the dimension of the field is 300 meters by 600 meters.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Now, the perimeter of the rectangular field=2(600+300)
=2×900=1800 meters.
Therefore, 1800 meters of fencing is required to enclose a field.
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Mr. Smith writes the following problem on the board,
1/4 + 3
Which statement about Mr. Smith s problem is true?
The answer to Mr. Smith s problem is less than 1
The answer to Mr. Smith s problem is between 1 and 2
The answer to Mr. Smith 5 problem is between 2 and 3.
O The answer to Mr. Smith s problem is between 3 and 4.
Answer:
It is the last one where the answer is between 3 and 4
Step-by-step explanation:
go0oddddddddddddddddddddddddddddddddddddddddddddddddddddd
Helppp please I need help ASAP!!!!!
Answer:
D
Step-by-step explanation:
The answer is D because the 45 would represent his songs, and 180 would represent the total.
Find the gradient of the function g(x,y)= xy at the point (5. - 1). Then sketch the gradient together with the level curve that passes through the point First find the gradient vector at (5. - 1). Vg(5. - 1)-01- i (Simplify your answers.) Choose the graph that shows the level curve and the gradient vector at (5. - 1). OD ОА.
This question is incomplete, the complete question is;
Find the gradient of the function g(x,y)= xy² at the point (5, - 1). Then sketch the gradient together with the level curve that passes through the point.
First find the gradient vector at (5, - 1).
Vg(5,- 1) = [ ]i - [ ]j (Simplify your answers.)
Choose the graph that shows the level curve and the gradient vector at (5, - 1).
options of the sketched graphs are uploaded along this answers
Answer:
Vg(5,- 1) = [ 1 ]i - [ 10 ]j
Option A is the correct graph for this Level
Step-by-step explanation:
Given that;
g(x,y) = xy²
we have to find gradient of this function at ( 5, -1 )
so
Δg(x,y) = dg/dx + dg/dy
d(g)/dx = y² , dg/dy = 2gx
therefore
Δg(x,y) = [y²]i + [2yx]j
Δ( 5, -1) = [-1²]i + [2×-1 ×5]j
=Δ(5, -1) = 1i - 10j
[ 1 ]i - [ 10 ]j
Therefore Option A is the correct graph for this Level