Answer:
9, 30, 27
Step-by-step explanation:
To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.
So, we must add the sides to get 66 feet.
n+3n+3+4n-9=66
Combine like terms, and solve:
(n+3n+4n)+(3+-9)=66
8n+-6=66
8n-6=66
n=9
So if n=9, we can easily find the value of the other sides.
3(9)+3=30 feet.
4(9)-9=27 feet
So, the sides are 9, 30, and 27 feet (in order).
What is the volume and surface area of a rectangular prism that is 11 ft long, 8 ft wide, and 4 ft tall?
Select all the correct answers.
V = 352 f1
V = 152 ft
V - 23 ft
SA = 480 ft
SA = 328 ft
SA = 92 ft
Answer:
The volume of the rectangular prism is 352 ft. The total surface area is 328 ft.
Step-by-step explanation:
Volume:
V = whl
V = 8 x 4 x 11
V = 352 ft
For finding surface area you have to find the lateral surface area: 152 ft, top surface area: 88 ft, and the bottom surface area: 88 ft. Add all that up and you get 328 ft.
Please help its very hard
Answer:
16 dollars
Step-by-step explanation:
The price includes the price of an empty bag B and the price of popcorn that is proportional to x (the number of ounces). Let each popcorn cost A$. Then the price of bag y = Ax + B
Given x = 10, y = 6, so 6 = 10A + B (1)
Given x = 20, y = 8, so 8 = 20x + B (2)
(2) - (1): 2 = 10A, so A = 2/10 = 0.2
Sub it into (1), 6 = 10*0.2 + B = 2 + B, so B = 6 - 2 = 4
We got y = 0.2x + 4
Check: x = 35, y = 0.2*35 + 4 = 11 (right)
x = 48, y = 0.2*48 + 4 = 13.6 (right)
Now find y when x = 60
y = 0.2*60 + 4 = 16 dollars
100 points if you can answer this whole page!!! Pls with an explanation
Answer:
you didnt attach the picture or assignment
Given the points (9,9) and (-6, -10) find the slope.
m =
1. Observe question
2. Employ Point-Slope formula
(y2 - y1)/(x2 - x1 )=
(-10-9)/(-6-9) =
-19/-15=
19/15
Slope: 19/15
Answer:[tex]\frac{19}{15}[/tex] or 1.26667
Step-by-step explanation:
m=rise over run=Δy over Δx
m=y2−y1x2−x1
m=−10−9−6−9
m=−19−15
m=19/15
To win a medal in a 5K race, a runner's time
must be less than 22 minutes. Write an
inequality to represent the times in minutes
m that would win a medal.
Answer:
m<20
Step-by-step explanation:
m must be less than 20
m < 20
or
20 > m
. Helmi's age and his son's age is in the ratio 10:3.
In 5 years' time, their total age will be 62 years.
How old is Helmi's son now?
Answer:
12 years old
Step-by-step explanation:
let h = helmi's age and let s = son's age (right now)
10s = 3h
h + 5 + s + 5 = 62
h + s + 10 = 62
h + s = 52
3h + 3s = 156
10s + 3s = 156 (substitution)
13s = 156
s = 12
a works twice as fast as B if B can complete a work in 12 days independently the number of days in which A and B can together finish the work find that
Answer:
3 days
Step-by-step explanation:
because a works twice as fast meaning they can do there work 3 times as fast
Brainliest if correct
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
First, we need to remember to use the order of operations:
Parentheses
Exponents
Multiplication/Division (whichever comes first)
Addition/Subtraction (whichever comes first)
Start by evaluating 2⁴ since exponents come first...
80/16*4
Now do the division first since it comes first in the equation...
5*4
Lastly do the multiplication...
20
Find the area of the shaded region.
Answer:
The Area of the shaded region would be 100 in^2 .
Step-by-step explanation:
Given:
Check the Attachment.
To Find:
The Area of Shaded Region
Solution:
The Triangle and the Rectangle have the same base(b) that is equal to the length(l) of the rectangle.
Note that Height of the triangle is same as breadth of the rectangle.
Now Let's come in the main solving part :-
We know that the formula of Area of the Triangle is ;
[tex]\boxed{ \rm \: Area \: of \: Triangle= \tt \: 1/2× \rm \: base×height , i.e. \: \tt \: 1/2× \rm\: b×h}[/tex]
Substitute the values where Base= 20 in and Length = 10 in:
[tex] \tt \: Area \: of \: Triangle=1/2×20 \: \times 10[/tex]
Now Solve it.
[tex] \tt \: Area \: of \: Triangle= \cfrac{1}{ \cancel2 {}^{1} } \times \cancel{20} {}^{10} \times 10[/tex]
[tex] \tt \: Area \: of \: T riangle = 10 \times 10[/tex]
[tex] \tt \: Area \: of \: Triangle=\boxed{\tt 100 \: in {}^{2}} [/tex]
Hence, the area of the shaded region is 100 sq.in or 100 in^2 .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
Let me know if you have any questions. :)
PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
Answer: x = 11; y = -1.
Step-by-step explanation:
-9y + 2 = x (1)
-x - 3y = -8 (2)
Substitute x from Equation 1 into Equation 2:
-(-9y + 2) - 3y = -8
9y - 2 - 3y = -8
9y - 3y = -8 + 2
6y = -6
y = -1
Substitute y into Equation 1 and find x:
-9 * (-1) + 2 = x
x = 11
In the formula, X+a = (X+b)/c, make X the subject
Answer:
[tex]\red{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]
Step-by-step explanation:
[tex]X+a = \frac{X+b}{c} \\ \\ \implies \: c(X+a) = X+b\\ \\ \implies \: cX+ac= X+b \\ \\ \implies \: cX - X = b - ac \\ \\ \implies \: X(c - 1) = b - ac \\ \\ \implies \: \huge \purple{ \boxed{ X= \frac{b - ac}{c - 1} }}[/tex]
Lynn is paid $2.08 for every usable
machine part she makes. During one
week, she made 220 parts, 14 of which
were unusable. What was Lynn's gross
pay for the week?
Answer:
Lynn's gross pay for the week is $29.12
Step-by-step explanation:
Lynn gets paid $2.08 for each usable machine part she makes. Out of the 440 parts she made this week, only 14 parts were usable.
Therefore, use the equation:
$2.08 x 14 = $29.12
A solid cube measures 5.3 cm on each side. What is the volume of the cube? Do not round your result
who qualifies to receive the 6 kl of free basic water from the mogale city municipality
All customers in Mogale City, irrespective of income, receive the first 6 kls of water free.
Pierre is waiting to be seated at a popular restaurant where the waiting time is a random variable with an exponential PDF, and the mean waiting time is 75 minutes. Pierre has already been waiting for 40 minutes. What is the probability that Pierre will have to wait more than 30 more minutes, given that he has already waited 40 minutes? Compute your answer rounded to 4 decimal places.
The PDF for the wait time (denoted by the random variable X) is
[tex]f_X(x) = \begin{cases}\lambda e^{-\lambda x} & \text{if }x \ge 0 \\ 0 &\text{otherwise}\end{cases}[/tex]
where λ = 1/75. We want to find Pr[X > 70 | X ≥ 40]. Pierre has already been waiting for 40 min, so if he waits another 30 min he will have waited for a total of 70 min.
By definition of conditional probability,
Pr[X > 70 | X ≥ 40] = Pr[X > 70 and X ≥ 40] / Pr[X ≥ 40]
If X > 70, then automatically X ≥ 40 is satisified, so the right side reduces to
Pr[X > 70 | X ≥ 40] = Pr[X > 70] / Pr[X ≥ 40]
Use the PDF or CDF to find the remaining probabilities. For instance, using the PDF,
[tex]\mathrm{Pr}[X > 70] = \displaystyle \int_{-\infty}^{70} f_X(x) \, dx = \int_0^{70} f_X(x) \, dx \approx 0.3932[/tex]
Or, using the CDF,
[tex]F_X(x) = \displaystyle \int_{-\infty}^x f_X(t) \, dt = \begin{cases}0&\text{if }x<0 \\ 1-e^{-\lambda x} & \text{if }x \ge 0\end{cases}[/tex]
[tex]\implies \mathrm{Pr}[X > 70] = 1 - \mathrm{Pr}[X \le 70] = 1 - F_X(70) \approx 0.3932[/tex]
Similarly, you'll find that Pr[X ≥ 40] ≈ 0.5866.
It follows that
Pr[X > 70 | X ≥ 40] ≈ 0.3932 / 0.5866 ≈ 0.6703
HELP LIKE RN !!! I’m on a time limit!
In Plessy v. Ferguson (1896), the U.S. Supreme Court
O ruled that African Americans are not persons for the purposes of the Constitution.
O agreed that separation of races is not a violation of the Constitution.
O that the practice of slavery must cease before the end of the century.
O tried to stop the development of legal racial segregation known as Jim Crow laws.
Answer:
In its Plessy v. Ferguson decision (1896), the U.S. Supreme Court ruled that “separate but equal” facilities for African Americans did not violate the Fourteenth Amendment, ignoring evidence that the facilities for Black people were inferior to those intended for whites.
Step-by-step explanation:
hope that helps love
Bob made $216 for 12 hours of work.
At the same rate, how many hours would he have to work to make $144?
Answer:
8 hours
Step-by-step explanation:
$216 → 12 hours
$1 → [tex]\frac{12}{216}[/tex] hours
$144 → ( [tex]\frac{12}{216}[/tex] *144) → 8 hours
help plsssssssssssssss
Answer:
63x + 18
Step-by-step explanation:
9 multiply 7x to give 63x
and 9 multiplies 2 to give 18
Answer:
Option C. 63x +18 is correct.
Step-by-step explanation:
7x ×9= 63x
2×9=18
=63x + 18
Hope it helps.......
1. A. What is the mean absolute deviation of the following data set? Round to the nearest hundredth if necessary.
p.s. I need the work on how to find it
Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.
Answer:
y > 4x + 1.
Step-by-step explanation:
The other person that listed their answer was also correct.
In order to make an equation as such, we need to find the slope of this line and the y-intercept. The y-intercept is the "+b" in y=mx+b. The slope is mx. So, to identify the slope we need to calculate rise over run on the graph, which is 4. So:
y __ 4x + __.
On the y-intercept, the y crosses and meets at the point (0,1) on the x-intercept exactly, so we don't need to worry about there being any fractions right now. So:
y __ 4x + 1.
Now, because this line has a positive slope, the inequality symbol is "chomping" at the y, like this:
y > 4x + 1.
I hope that this helps.
The answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign is y = -2x + 3
The inequality symbol is less than (<). This means that all points below the line y = -2x + 3 satisfy the inequality.
To understand why this is the case, let's consider a few points on the line y = -2x + 3. For example, the point (0, 3) is on the line. If we plug these coordinates into the inequality, we get:
y = -2x + 3
3 = -2(0) + 3
3 = 3
This is a true statement, so we know that the point (0, 3) satisfies the inequality.
Now, let's consider a point that is below the line y = -2x + 3. For example, the point (1, 1) is below the line. If we plug these coordinates into the inequality, we get:
y = -2x + 3
1 = -2(1) + 3
1 = 1
This is also a true statement, so we know that the point (1, 1) satisfies the inequality.
Therefore, we can conclude that all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.
Here is a graph of the inequality y < -2x + 3.
As you can see from the graph, all points below the line y = -2x + 3 satisfy the inequality y < -2x + 3.
To learn more about inequality here:
https://brainly.com/question/20383699
#SPJ2
2. The area of a rectangle is 540 square cm. If length of the rectangle is 36cm,then the breadth is -- *
Answer:
15 cm
Step-by-step explanation:
540cm squared= 36 · b
540 ÷36= b
b= 15 cm
Write the ratio of the first measurement to the second measurement Compare in inches. 3 feet to 31 inches. type the ratio as a simplified fraction.
Use the given information to prove the following theorem.
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
We let be any point on line , but different from point .
Let's proof
PQ is the perpendicular bisector Hence
CQ=DQ(Bisected sides)Now apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PD^2[/tex]--(1)
[tex]\\ \tt\hookrightarrow PQ^2+CQ^2=PC^2[/tex]
As QD=CD
[tex]\\ \tt\hookrightarrow PQ^2+QD^2=PC^2[/tex]--(2)
From (1) and (2)
[tex]\\ \tt\hookrightarrow PC^2=PD^2[/tex]
[tex]\\ \tt\hookrightarrow PC=PD[/tex]
Answer:
Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]
⇒ [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]
⇒ ΔPQD ≅ ΔPQC
⇒ CP = PD
Step-by-step explanation:
Given [tex]\overline{\rm PQ}[/tex] is the [tex]\perp[/tex] bisector of [tex]\overline{\rm CD}[/tex]
⇒ [tex]\overline{\rm CQ}=\overline{\rm CD}[/tex]
⇒ ΔPQD ≅ ΔPQC
⇒ CP = PD
Determine whether the given point is on the line. Explain your reasoning. (3. - 1); y = 4x + 5 +
what contributed to William Shakespeare's success as a playwright and
poet? Why do you think his work continues to be so popular today? Do you think any of the plays,
poems, or songs created today will be popular in 400 years?
Answer:
i think his work is popular today because it was aheaahead of his time and yes i do think his songsongs created today will be popular in 400 years. Step-by-step explanation:
10. Triangle ABC is formed by two parallel lines and two other intersecting
lines. Find the measure of each angle A, B, and of the triangle.
61°
47
с
47
Answer:
A:61°
B:72°
C:47°
Explanation:
I took the test and it was correct
simple ! please show work math experts :) thank you and have a wonderful day
Answer:
1) [tex]\dfrac78[/tex]
2) [tex]\dfrac{17}{12} = 1 \frac{5}{12}[/tex]
3) [tex]\dfrac{53}{12}=4 \frac{5}{12}[/tex]
Step-by-step explanation:
1)
[tex]\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78[/tex]
2)
[tex]\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}[/tex]
3)
First convert mixed number into improper fraction:
[tex]4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}[/tex]
[tex]\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}[/tex]
Graph the equation y=1/2x
Answer/Step-by-step explanation:
The graph of the equation y = 1/2x on the coordinate plane is plotted below
The given equation is:
y = 1/2x
The equation is of the form:
y = mx + c
where m represents the slope
and c represents the y-intercept
Comparing the equation y = 1/2x with y = mx + c
The slope, m = 1/2
The y-intercept, c = 0
The line graph with slope, m = 1/2, and y-intercept, c = 0 is plotted below
[RevyBreeze]
What is the slope of the line that passes through the points (-2,9) and (8,34)?
Write your answer in simplest form.
Answer:
2.5
Step-by-step explanation:
y=ax+b
9= -2a+b <=> b= 9+2a
34=8a+b = 8a+9+2a = 10a + 9
a = (34-9)/10 = 2.5
Answer:
m = 2.5Step-by-step explanation:
Use the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (34 - 9)/(8 - (-2)) = 25/10 = 2.5write your own situation in which speed, s, is an independent variable.
Answer:
We want to use time so we will say
The time it takes to finish a jog, t, at the speed of s.
Step-by-step explanation:
The dependent variable we know depends on the independent variable.
Our independent variable is speed because it represents itself where time depends on speed. The reason it depends on speed is that the time to finish a jog depends on your speed.