Answer:
[tex]\boxed{D = 15.8\ units}[/tex]
Step-by-step explanation:
The coordinates are (0,9) and (-8,-4)
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(-8-0)^2+(-4-9)^2}[/tex]
D = [tex]\sqrt{(-8)^2+(-13)^2}[/tex]
D = [tex]\sqrt{81+169}[/tex]
D = [tex]\sqrt{250}[/tex]
D = 15.8 units
Answer:
15.3
Step-by-step explanation:
The coordinates are (0,9) and (-8,-4)
Distance of two points formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the values.
[tex]D=\sqrt{(-8-0)^2+(-4-9)^2}[/tex]
[tex]D=\sqrt{(-8)^2+(-13)^2}[/tex]
[tex]D=\sqrt{64+169}[/tex]
[tex]D=\sqrt{250}[/tex]
[tex]D= 15.264338...[/tex]
[tex]D \approx 15.3[/tex]
Find an equation of the line through the point (3,2) with a slope of −2.
Which set of points represents a function?
OA) (-5,9). (-5, 8), (4,7), (4, 6)
OB) (-3, -2), (-2, -1), (-1, 2), (-3, 4)
OC) (2,7). (-1, -7), (2, -7), (-1,7)
OD) (6, -1). (-3,4), (-6,4), (3, -1)
Answer: B
Step-by-step explanation:
What is the area of the button? Use 3.14 for π and round to the nearest tenth. The circumference of a button is 40.8 millimeters. What is the radius of the button? Use 3.14 for π and round to the nearest tenth. i need this answered quick
Answer: radius = 6.5millimeters; Area = 132.7m²
Step-by-step explanation:
The circumference of a circle = 2πr
The area of a circle = πr²
The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:
Circumference = 2πr
40.8 = 2 × 3.14 × r
40.8 = 6.28r
r = 40.8/6.28
r = 6.5
Radius is 6.5 millimeters
Area = πr²
Area = 3.14 × 6.5 × 6.5
Area = 132.7m²
By visual inspection, determine the best-fitting regression model for the
scatterplot.
A. no pattern
B. Exponential
C. Quadratic
D. Linear
Answer: C
I just took the test
7 - 5x > 3x + 31
A.X2-3 (all numbers greater than or equal to -3 will satisfy the inequality)B.xs-3 (all numbers less than or equal to -3 will satisfy the inequality)
C.X26 (all numbers greater than or equal to 6 will satisfy the inequality)
D.xs 6 (all numbers less than or equal to 6 will satisfy the inequality)
Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)
Step-by-step explanation:
Hi, to answer this question we have to solve the inequality for x:
7 - 5x > 3x + 31
7-31 > 3x +5x
-24 > 8x
-24/8 > x
-3 > x
x < -3
So, the correct option is:
B. (all numbers less than or equal to -3 will satisfy the inequality)
Feel free to ask for more if needed or if you did not understand something.
Please help i will mark brainliest
Answer:
See below.
Step-by-step explanation:
To find the equation, we need to find the slope and the y-intercept. Afterwards, we can put the numbers into the slope-intercept form:
[tex]y=mx+b[/tex]
From the graph, we can see that the line crosses the y-intercept at y=-6. Thus, the y-intercept (b) is -6.
Now we need to find the slope. Pick any two points where the line crosses. I'm going to pick (0,-6) and (4,-7).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-6)}{4-0}= -1/4[/tex]
Therefore, the equation of the line would be:
[tex]y=mx+b\\y=-1/4x-6[/tex]
Is my answer correct? 10 points + brainleist!
Answer:
your answer is incorrect. The correct answer is [tex]h=-13[/tex] and [tex]k=13[/tex] .
Step-by-step explanation:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex] and a>0, then minimum value of the function at point [tex]\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex].
The given function is
[tex]f(x)=x^2+bx+182[/tex]
Here, a=1, b=b and c=182. So.
[tex]-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}[/tex]
Put [tex]x=-\dfrac{b}{2}[/tex] in the given function to find the minimum value of the function.
[tex]f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182[/tex]
We know that minimum value is 13. So,
[tex]13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182[/tex]
[tex]13-182=-\dfrac{b^2}{4}[/tex]
[tex]-169=-\dfrac{b^2}{4}[/tex]
[tex]169\times 4=b^2[/tex]
Taking square root on both sides.
[tex]13\times 2=b[/tex]
[tex]b=26[/tex]
The value of b is 26.
So, the given function is
[tex]f(x)=x^2+26x+182[/tex]
Now, add and subtract square of half of coefficient of x.
[tex]f(x)=x^2+26x+182+(13)^2-(13)^2[/tex]
[tex]f(x)=(x^2+2(13)x+(13)^2)+182-169[/tex]
[tex]f(x)=(x+13)^2+13[/tex]
On comparing with [tex]f(x)=(x-h)^2+k[/tex], we get
[tex]h=-13[/tex]
[tex]k=13[/tex]
Therefore, your answer is incorrect.
What is the volume of the cone?
What is the volume of the cylinder?
What is the volume of the sphere?
At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain.
Hint: Which shapes gives you more clay for less money?
Answer:
[tex]Volume = 1017.36\ in^3[/tex] -- Cone
[tex]Volume = 3052.08\ in^3[/tex] -- Cylinder
[tex]Volume = 3052.08\ in^3[/tex] -- Sphere
Best Buy: Sphere Clay
Step-by-step explanation:
Given
Solid Shapes: Cone, Cylinder, Sphere
Cost of Cone Clay = $12
Cost of Cylinder Clay = $30
Cost of Sphere Clay = $28
Required
Determine the volume of each shape
Which is the best buy
CONECalculating VolumeThe volume of a cone is calculated as thus;
[tex]Volume = \frac{1}{3}\pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{1}{3} * 3.14 * 9^2 * 12[/tex]
[tex]Volume = \frac{3052.08}{3}[/tex]
[tex]Volume = 1017.36\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 1017.36\ in^3[/tex]
[tex]Total\ Cost = \$12[/tex] (Given)
[tex]Volume:Price = \frac{1017.36\ in^3}{\$ 12}[/tex]
[tex]Volume:Price = 84.78 in^3/\$[/tex]
[tex]Volume:Price = 84.78 in^3:\$1[/tex]
CYLINDERCalculating VolumeThe volume of a cylinder is calculated as thus;
[tex]Volume = \pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = 3.14 * 9^2 * 12[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$30[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 30}[/tex]
[tex]Volume:Price = 101.736\ in^3/\$[/tex]
[tex]Volume:Price = 101.736\ in^3:\$1[/tex]
SPHERECalculating VolumeThe volume of a sphereis calculated as thus;
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
From the attached diagram
Radius, r = 9 inches; and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{4}{3} * 3.14 * 9^3[/tex]
[tex]Volume = \frac{9156.24}{3}[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume-Price ratioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$28[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 28}[/tex]
[tex]Volume:Price = 109.003\ in^3/\$[/tex]
[tex]Volume:Price = 109.003\ in^3:\$1[/tex]
Comparing the Volume:Price ratio of the three clay;
The best buy is the sphere because it has the highest volume:price ratio.
Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay
How many times greater is 1,000,000,000 than 1,000,000?that is how many groups of 1 million are there in 1 billion? Please help.
Answer:
1,000
Step-by-step explanation:
1,000,000 x 1,000 = 1,000,000,000
1,000,000,000 has 4 more zeros than 1,000,000 and 1,000 has 4 zeros so there 1000 is the answer.
identify the coefficient of x
1. 3xy³
2. xy
___
5
3. 3
___ x y
4
4. 3
___ x²y
4
Answer:
3
1/5
3/4
3/4
Step-by-step explanation:
Coefficient is a number that is always written in front of a term.
3xy^3=3
xy/5=1/5
3/4xy=3/4
3/4x^2y=3/4
Hope this helps ;) ❤❤❤
What is the equation of the function in vertex form?
Answer:
Your correct answer is -b/2a
Step-by-step explanation:
What you need to do is find the coordinates of the vertex from the equation itself, using this formula: x = -b/2a
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
The answer is
Step-by-step explanation:
If 2cm is 8 feet on the drawing then since 4 is the double of 8,
16 would be the width
8·2=16
For the length, 4 is two less than 6 so, to find the width,
Add 16+2=18
Therefore,
The answer is C.
Length=18 Width=16
Answer:
Length = 24 ft, width = 16 ft
Step-by-step explanation:
The scale is 2 cm (drawing) = 8 ft (real).
The drawing length is 6 cm.
6 cm is 3 times 2 cm
Multiply both sides of the scale by 3.
3 * 2 cm = 3 * 8 ft
6 cm = 24 ft
The real length is 24 ft.
The drawing width is 4 cm.
4 cm is 2 times 2 cm
Multiply both sides of the scale by 2.
2 * 2 cm = 2 * 8 ft
4 cm = 16 ft
The real width is 16 ft.
Answer:
Length = 24 ft, width = 16 ft
A 14 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How for up the building does the ladder reach?
Answer:
[tex]7\sqrt{2}[/tex]
Step-by-step explanation:
Use trigonometry.
sin 45 degrees = x/14
plug in values and you get x = [tex]7\sqrt{2}[/tex]
Answer:
72
Step-by-step explanation:
What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product?
Answer:
The value of the exponent of the base 10 for this product is -2.
Step-by-step explanation:
[tex]5.86\,\,10^{-7}\,\,*\,\,3.1\,\,10^4=18.166\,\,10^{-7+4}=18.166\,\,10^{-3}[/tex]
Now, in order to represent this number in scientific notation, we need to reduce the coefficient 18.166 to a coefficient larger or equal to 1 and smaller strictly than 10, by using division or multiplications by powers of 10. In order to reduce it to 1.8166, we need to divide the original 18.166 by ten so we do the following in order not to change the given number (multiply and divide by ten at the same time):
[tex]\frac{18.166\,\,10}{10} \,10^{-3}=1.8166\,*\,10\,*\,10^{-3}=1.8166\,\,10^{-2}[/tex]
Answer:
-2
Step-by-step explanation:
1. Write the expression: (5.86 × 10–7)(3.1 × 104)
2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104)
3. Multiply the coefficients: (18.166)(10–7 ∙ 104)
4. Apply the product of powers: 18.166 × 10-3
5. Write in scientific notation: 1.8166 × 10n
do all this get negitive two
Suppose your soccer coach is ordering duffel bags online for your team. The online store charges $16.49 per bag plus $10.50
for shipping and handling of the order. Suppose x is the number of bags ordered and go is the total cost of the bags. Select
the function that models the relationship. Then select the cost of buying 12 bags.
Answer: g(x)=16.49x+10.50
Total cost of 12 bags
$208.38
Answer:
g(x) = $16.49x + $10.50
$208.38
Step-by-step explanation:
Given the following:
Cost per bag = $16.49
Shipping and handling fee = $10.50
Number of bags ordered = x
If g(x) = total cost of bags
Bag cost = cost per bag × number of bags ordered
Bag Cost = $16.49 * x = $16.49x
Shipping and handling fee = $10.50
Total cost of bags = Bag cost + shipping and handling fee
g(x) = $16.49x + $10.50
Where x is the number of bags ordered.
Therefore, total cost of 12 bags equals ;
g(12) = $16.49(12) + $10.50
g(12) = $197.88 + $10.50
g(12) = $208.38
Answer:
g(x)=16.49x+10.50
$208.38
Step-by-step explanation:
let the cost of x bags = g(x)
cost of one bag = $16.49
cost of x bags = $16.49x
shipping and handling charges = $10.50
total cost of x bags = 16.49x + 10.50
g(x) = 16.49x + 10.50
To determine the cost of 12 bags, substitute x with 12 and simplify:
g(12) = 16.49(12) + 10.50
= 208.38
Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?
Answer:
He deposited 16 $5 bills.
Step-by-step explanation:
State your variables
let x be the number of $1 bills
let y be the number of $5 bills
Create a system of equations
x + 5y = 200 (eq'n 1 -- for amount of money)
x + y = 136 (eq'n 2 -- for number of bills)
Solve the system for y
I will solve using substitution. Rearrange eq'n 2 to isolate variable x.
x + y = 136
x = 136 - y (eq'n 3)
Substitute eq'n 3 into eq'n 1.
x + 5y = 200
136 - y + 5y = 200
136 + 4y = 200
4y = 64
y = 16
Solve for x to check answer
Substitute y = 16 into eq'n 2.
x + y = 136
x + 16 = 136
x = 120
Substitute x = 120 into eq'n 1.
x + 5y = 200
120 + 5(16) = 200
120 + 80 = 200
200 = 200
LS = RS Both sides are equal, so the solution is correct.
Therefore, Jack deposited 16 five dollar bills.
Which ordered pair is a solution of the equation? y = 7 x − 3 y=7x−3
Answer:
(1,4)
Step-by-step explanation:
Which ordered pair is a solution of the equation? y = 7 x − 3
a. (1,4) b. (-1,-4) c. both d. neither
Solution
y=7x-3
Solve by trying each ordered pair
a. (1,4)
x=1, y=4
Substituting the value of x and y into the equation
y=7x-3
4=7(1)-3
4=7-3
4=4
This is a true statement
b. (-1,-4)
x=-1, y=-4
Substitute the value into the equation
y=7x-3
-4=7(-1)-3
-4= -7-3
-4= -11
This is not a true statement
This true statement is when x=1 and y=4
So, the ordered pair (1, 4) is the solution
There are 30 students in a class. 10 students have a pet dog, 13 students have a pet cat, and 7 students have a pet fish. 4 students have both a pet dog and a pet cat, 6 students have a pet cat and a pet fish, 2 students have a pet dog and a pet fish. 1 student has all three. How many of the 30 students have pets?
Answer:
9 students have pets
Step-by-step explanation:
From the above question, we are given the following information
Total number of students = 30
Let Pet Dog = D
Pet Cat = C
Pet Fish = F
Number is students that have pet dog
(D) = 10 students
Number of students that have pet cat (C) = 13 students
Number of students that have pet fish (F) = 7 students
Number of students that have Pet dog and cat ( D and C) = 4 students
Number of students that have Pet cat and fish (C and F) = 6 students
Number of student that has pet dog and pet fish (D and F) = 2 students
1 student has all three = ( D and F and C)
Number of student that have a pet Dog only
= n(D) - [n( D and C) + n( D and F) - n(D and C and F)]
= 10 -( 4+ 2 -1)
= 10 - 5
= 5
Number of student that have Pet cat only
= n(C) -[ n( D and C) + n( C and F) - n( D and C and F)]
= 13 -( 4 + 6 - 1)
= 13 - 9
= 4
Number is student that have a pet fish only
= n(F) - [n (C and F) + n( D and F) - n( D and C and F)]
= 7 - [6 + 2 - 1]
= 7 - 7
= 0
The number of students that have pets is calculated as:
(Number of students that have dogs only + Number of student that have cats only + Number of students that have fish only)
= 5 + 4 + 0
= 9
Therefore only 9 students have pets.
It takes Peter 4 hours to walk 12 miles.If he continues to walk at the same rate, how long will it take him to walk:
a) 7miles. b)11miles?
Answer:
a]2.3 hrs
b]3.6hrs
Step-by-step explanation:
4hrs = 12 miles
x = 7miles
4 x 7=28/12=2.3
4 x 11=44/12=3.6hrs
Answer:
Below in bold.
Step-by-step explanation:
His rate of walking = 12/4 = 3 miles per hour.
So the times for 7 and 11 miles are
(a) 7/3 = 2 1/3 hours.
(b) 11/3 = 3 2/3 hours.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
4x-2
Step-by-step explanation:
4x(3x+5)-2(3x+5)
(4x-2)(3x+5)
you can see that 4x-2 is a factor
sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test
Answer: (upside down fancy u) q5
Step-by-step explanation:
Simply apply the law of conservative (upside down fancy u)
convert 1000110binary into decimal number system
Answer:
70₁₀Step-by-step explanation:
In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.
Let's solve:
[tex]1000110[/tex]
[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]
[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]
[tex] = 70[/tex]₁₀
Hope I helped!
Best regards!!
turn 7/8 into a percent
Answer:
[tex]\boxed{87.5\%}[/tex]
Step-by-step explanation:
Convert fraction to a decimal.
[tex]\frac{7}{8} =0.875[/tex]
Multiply the decimal by 100.
[tex]0.875 \times 100= 87.5[/tex]
Answer:
87.5%
Step-by-step explanation:
100 divided by 8 = 12.5
We know that one eighth of 100 is 12.5. Now we multiply an eighth by 7 to get seven-eighths (7/8)
12.5 * 7 = 87.5
So 7/8 as a percent is 87.5%
Have a good day :)
The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies
Answer:
0.260.911.43Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P( [tex]\frac{x-\mu }{\sigma}[/tex] > [tex]\frac{2.3-\mu }{\sigma}[/tex] )
P (z > [tex]\frac{2.3-1.9 }{0.3}[/tex] )
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P( [tex]\frac{x-\mu }{\sigma }[/tex] < [tex]\frac{a-\mu }{\sigma }[/tex] )
[tex]\frac{a-1.9 }{0.3 } = -1.55[/tex]
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Can someone help me with this plz? Will give brainliest
Answer:
∆ABC=∆DBC
Step-by-step explanation:
The angle of ABC, which is 90° is the same as the angle DBC which is also 90°
find x value A. 8.96 B. 10.83 C. 5.10 D. 6.09
Answer:
6.09
Step-by-step explanation:
in ADB
[tex]a ^{2} + b^{2} = c ^{2} [/tex]
to get hypotenuse=8.96
this is height of ABC so use tan
[tex] tan(55.8)= 8.96 \x[/tex]
x=6.09
Answer:
D
Step-by-step explanation:
To find x, we first to to find the line between A&B.
Use the pythagoram theorem to do this A^2+B^2=C^2
4.9^2+7.5^2=C^2
80.26=C^2
square root each side
Side AtoB=8.958
We now know the side length of the opposite and adjacent for the angle C. So according to SohCahToa we need to use Tangent.
So Tan(55.8)=(8.958/x)
We you solve for x, the answer is 6.088
A a supermarket sells the three bands of rice shown.
Answer:
the ansewr is b
Step-by-step explanation:
The gradient of a straight line that passes
through the point (-3,2) and (-4,k) is - 2
Find the value of k.
Answer:
k=4
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
-2 = (k-2)/(-4 - -3)
-2 = (k-2)/(-4+3)
-2 = (k-2)/ ( -1)
Multiply by -1
-2 * -1 = (k-2)/ ( -1) * -1
2 = k-2
Add 2 to each side
2+2 = k-2+2
4 =k
A plumber wishes to cut a piece of pipe
32 inches long into two parts so that the
larger part is 4 inches less than three
times the smaller part. What are the
lengths of the two parts of the pipe?
Answer:
9 and 23
Step-by-step explanation:
Let x be smaller length in inches.
x+3x-4=32
4x=36
x=9
9*3-4=23
So they're 9 and 23 inches long.
The lengths of the two parts of the pipe are 9 and 23 inches long.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let x be the smaller length in inches.
x + 3x - 4 = 32
4x = 36
x =9
Now substitute;
9*3 - 4 = 23
Hence, the lengths of the two parts of the pipe are 9 and 23 inches long.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
Todd bought a jet ski through a interwar free payment plan. The ski was $2000 and his payments were $250 each. What percent of the total cost are the payments?
Answer:
12.5%
Step-by-step explanation:
The price for the ski = $2000
The payments made each = $250
percentage of the total cost that the payment is = ?
The percentage will be calculated as
the ratio of the payments made to the price of ski times 100%
250/2000 x 100%
==> 0.125 x 100% = 12.5%