Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2
Answer:
(2,-2)
Step-by-step explanation:
A swing hangs from a beam 10 feet high, with the seat hanging 2 feet above the ground. In motion, the swing moves back and forth from -130° to -50° to the horizontal. How far forward and back does the swing move along the ground at the extremes?
Answer:
11.17 ft
Step-by-step explanation:
Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.
Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by
L = Δθ/360 × 2πr where Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ = -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.
Substituting r and Δθ into L, we have
L = -80°/360° × 2π(8 ft)
= -8/36 × 16π ft
= -32π/9 ft
= -100.53/9 ft
= -11.17 ft
Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft
Mary’s parents planted a garden that was 4 feet long and 5 1/2 feet wide. Lisa’s parents planted a garden that was 24 feet long and 5 1/2 feet wide. How many times larger is the area of Lisa’s garden?
A. 3 times larger
B. 6 times larger
C. They are equal
D. 20 times larger
Answer:
6 TIMES LARGER
Step-by-step explanation:
4 by 5.5 which is 22 and 24 by 5.5 which is 132 divide 132 by 22 to get your answer
Answer:6 time larger
Step-by-step explanation:
Find the mistake(s) in the problem below. Correct the mistake to find the correct area.
The radius of a circle is 53 mm.
r=53
53 divided by 2=26.5
d=26.5
A=3x26.5 squared
A=79.5
The area of the circle is79.5mm
Answer:
QFQF
Step-by-step explanation:
FAFAF
This figure shows right triangles drawn inside of a rectangle
Answer:
Sin p=Cos v
Cos k=Sin r
Step-by-step explanation:
The sine of an angle is equal to the cosine of its complement.
The cosine of an angle is equal to the sine of its complement.
Ethan hits 4 ringers in 10 attempts while throwing horseshoes. What does an experimental probability of 2/5 describe?
Your answer:
O P (horseshoes)
O P (missed shots)
O P (attempts)
O P (ringers)
Answer: P (ringers)
Step-by-step explanation:
This probability is simplified from 4/10 to 2/5
Since he got 4 ringers out of 10 attempts
we can tell that this probability stands for Ringers
2 numbers a and b vary directly if ab =k, k is a constant is it correct
Answer:
No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant
Step-by-step explanation:
See above
the diameter or a circle is 2 yards. What is the circles circumference
use 3.14 for π
Answer:
diameter = 6.28 yards
Step-by-step explanation:
2 x 3.14 = 6.28
The downtown trolly travels around town on a rectangular route stopping at 4 different tourist destinations if the length of the rought was 5.5 miles and the with was 4 miels how far is one complete trip anser
Answer:
19 miles
Step-by-step explanation:
Given that :
Shape of route is rectangular :
Length of route = 5.5 miles
Width of route = 4 miles
Distance of one complete trip = perimeter of the rectangular route :
Perimeter of a rectangle :
P = 2(length + Width)
P = 2(5.5 + 4)
P = 2(9.5)
P = 19 miles
Hence one complete trip is 19 miles long.
Last year you drove your car 11,452 miles. You kept track of all your expenses for the year. Your fixed cost (insurance, license amd registration, depreciation) totaled $2,578 and your variable expenses ( gas, oil changes, repairs, tires) totaled $1,927. What was your cost per mile to operate your car?
A rectangular prism has a volume of 750 cubic millimeters. Its length is 15 millimeters, and its width is 10 millimeters. What is its height?
50 mm
5 mm
6 mm
60 mm
Answer:
5mm
Step-by-step explanation:
Help please!!!!!!!!!!!!
Answer:
The order is :
1. Ruth
2. Alice
3. Debra
4 Lisa
Step-by-step explanation:
I hope that is useful for you :)
help me please༼ つ ◕_◕ ༽つ
The value of x is ___, and the value of y is ___.
Answer:
I think x is 60 and y is 50.
Step-by-step explanation:
70 + 50 = 120
180 - 120 = 60
x = 60
50 + 50 = 100
70 + 60 = 130
130 + 100 = 230
230 - 180 = 50
y = 50
I hope this helps u! :D
Answer:
x=60 y=50
Step-by-step explanation:
180 is equal to the whole triangle so 50+70=120 and 180-120= 60
the other triangle has a missing value by doing the same thing before we can figure out that the missing value is 70. 70+x which is 60 equals 130. A straight line is equal to 180 so 180-130= 50.
Hope I could help!
A box of chocolates costs $6.39. Debra bought 8 boxes. How much did she spend?
PLEASEE HELP
The mean and the average are the same number
this is URGENT BESTIES
Answer:
675 [tex]ft^2[/tex]
Step-by-step explanation:
The radius is 15, so replace r in the formula with 15
[tex]A=\pi 15^2[/tex]
A = 225 pi
A = 675
(using 3 for pi, since they specified)
Answer: 675
Step-by-step explanation:
-18 < 9x
Solve for x ...
Answer:
x= -2
............................
what is food...................................
Answer:
Any solid substance that can be consumed by living organisms, especially by eating , in order to sustain life is food.
Step-by-step explanation:
pls help me out!!! ((#4))
Would be great if someone could solve this for me I’m not too sure how to do it .
Which list is in order from least to greatest? 1.94 x 10 1.25x 10.6x109.8.1 x 10 O 1.25x 10-2 194 10*6x10* 8.1 x 10 O 1.25x 10-2, 1.94 x 10.8.1 x 10^. 8x 10 1.94 x 104, 1.25x 10-2.8.1 x 10*. 6x 10*
Answer:
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
Step-by-step explanation:
Given
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
[tex](b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}[/tex]
[tex](c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}[/tex]
[tex](d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4[/tex]
Required
Which list is in ascending order
To do this, we analyze each of the options 1 after the other.
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
Convert each list item to decimal
[tex]1.94 * 10 ^-5 = 0.0000194[/tex]
[tex]1.25 *10 ^-2 = 0.0125[/tex]
[tex]6 *10^{4} = 60000[/tex]
[tex]8.1 *10^{4} = 81000[/tex]
The list is in ascending order because:
[tex]0.0000194 < 0.0125 < 60000 < 81000[/tex]
No need to test other options
Please help if you would like brianleist (correct answers) ^°^ Tyyy •√•
Answer:
86.625 in³
Steps:
V = 5.5 × 4.5 × 3.5
V = 86.625 in³
Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x + 6". · Mr. Burrows says "Nope, wrong, those are clearly different expressions" Try substituting x=5 into both expressions. Do you get the same answer for both expressions? Show your work!
Answer:
Yes, the same answer is obtained.
Step-by-step explanation:
According to Mr. Carlevato, [tex]2(2x+3)[/tex] is equal to [tex]4x+6[/tex]. However, [tex]2(2x+3)[/tex] is not equal to [tex]4x+6[/tex] according to Mr. Burrows.
Put [tex]x=5[/tex] in [tex]2(2x+3)[/tex]
[tex]2[2(5)+3]=2(10+3)=2(13)=26[/tex]
Put [tex]x=5[/tex] in [tex]4x+6[/tex]
[tex]4x+6=4(5)+6=20+6=26[/tex]
Therefore,
[tex]2(2x+3)=4x+6[/tex]
Yes, the same answer is obtained.
4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
Please answerrrrrrrrrr pleaseeeeeeee
Answer:
[tex]\Huge\boxed{x=53}[/tex]
Step-by-step explanation:
Hello There!
Once again we need to use trigonometry to solve for X
Here are the Trigonometric Ratios:
Sin = Opposite divided by hypotenuse
Cos = adjacent divided by hypotenuse
Tan = Opposite divided by adjacent
We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos
Remember cos = adjacent divided by hypotenuse
Now we create an equation
[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]
now we have
[tex]cos(x)=.6[/tex]
like always we want to get rid of cos
to do so we take the inverse of cos (arccos^-1) and apply that to each side
[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]
finally we round to the nearest degree
we're left with x = 53
Approximately students attend Jones Middle School. Below is the data collected from two random samples of students regarding school lunch preference. Which of the following inferences can be made based on the data collected? Select all that apply.
Answer:
there is nothing to select. u need to provide more info
what is 18k+3
asking for a friend
k as in the letter not 18,000
factor 3 out of 18k+3.
3(6k+1)
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
what am i sopposed to do?
Step-by-step explanation:
Please just give me the answer to this question, I’m so lazy haha the Pablo one thank you!
Answer:
I would say its 640 seconds sorry if I'm wrong
PLEASE HELP
Write the equation that models the linear relationship.
The equation ____ models the linear relationship
(Use integers or tractions for any numbers in the
equation)