16. You and a friend are going shopping. You leave school and drive 10 miles
due west on 26th Street. You then drive 7 miles NW on Raspberry Street to the
grocery store. Your friend leaves school and drives 10 miles due east on 26th Street.
He then drives 7 miles SE on Cascade Street to the movie store. Each of you has
driven 17 miles. Which of you is farthest from your school?
Answer:
My friend is farthest from my school
Step-by-step explanation:
Let the distance from the movie store to school be x and the distance from the grocery store to school be y
Using Cosine rule,
x²= 10²+7² - 2×10×7Cos120
x²= 149 -140(-0.5)
x²= 149+70
x²= 219
x= √219
= 14.8miles
y²= 10²+7² - 2×10×7Cos100
y²= 149 -140(-0.1736)
y²=149+24.2704
y²=173.2704
y=√173.2704
y=13.4miles
How many solutions does the equation 6(x -2) = 8 + 6x have?
Answer:
There are no solutions.
Step-by-step explanation:
First simplify the equation.
6(x - 2) = 8 + 6x
Distribute.
6x - 12 = 8 + 6x
Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.
what’s an perpendicular equation of a line to y=-2/7x+9 that passes through the point (4,-6)
Answer:
has no prison pits as melatarea
Please help, super hard question for me!
Give two systems of equations, each containing two equations, that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
I will give brainliest to best answer
AND DON’T ANSWER THEN DELETE FOR POINTS
Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
Answer:
1. No, because a system of linear equations in two variables may have, zero, or infinietley solutions.
2. true because the answer of a system is the intersect, not where the lines cross a grid.
3.a. y=2x+4
y=3x+2
2x+4=3x+2
4-2=3x-2
2=x
b.y=2x+4
y=2*2+4=8
c. 2.2.5-2y=8
5-8=2y
=3=2y
-3/2=y
y=1.5
Step-by-step explanation:
answers for teh complete assigment
please heeeeeeeeeeeeeeeeeeeeelp
Step-by-step explanation:
3 is ur answer
mmmmmmmmmmm
what are the correct answers?
cos (75)=cos (15) nothing square and check
Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 2
2 1 2
hours.
The average speed of the airplane which travels the given distance and time is 400mph.
SpeedSpeed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.
It is expressed as;
s = distance / time = d / t
Given the data in the question;
Distance travelled d = 1000miTime taken t = 2 and 1/2 hrs = 2.5hrsAverage speed; s = ?To determine the average speed of the airplane, we substitute our given values into the expression above.
s = d / t
s = 1000mi / 2.5hrs
s = 400mph
Therefore, the average speed of the airplane which travels the given distance and time is 400mph.
Learn more about Speed and Velocity here: https://brainly.com/question/10566304
please help me I'm begging please help me solve it
Answer:
17/13
Step-by-step explanation:2
27−13h=10
subtract 27 from both sides of the equation.
simplify. Divide both sides of the equation by the same term
Simplify and you get 17/13. in decimal form its 1.3077. i hope this is correct and helps you <33. follow me if you ever need more answers!!
That's the answer i hope it helps you
(3x – 1) : (x - 2) = x – 2x (x—4)
срочно, сор.
[tex]\frac{3x-1}{x-2}=x-2x(x-4) <=>\frac{3x-1}{x-2}=x-2x^{2} +8x \\<=>\frac{3x-1}{x-2}=-2x^{2} +9x<=>3x-1= (-2x^{2} +9x)(x-2)\\<=>3x-1= -2x^3+4x^{2} +9x^{2} -18x\\<=>3x-1=-2x^3+13x^{2} -18x\\<=>2x^3 -13x^{2} +18x+3x -1=0\\<=>2x^3 -13x^{2}+21x-1=0\\<=> x =0.05 /or/x=3.7[/tex]
ok done. Thank to me :>
find the value of x if p ll q
Answer:
maybe you can attach the screenshot of the task?
5) The bakers at Healthy Bakery can make 160 bagels in 5 hours. How many
bagels can they bake in 15 hours? What was that rate per hour?
Answer:
They can make 480 bagels in 15 hours. The rate is 32 bagels per hour. Hope this helped! if the answer is wrong i'm super sorry!
Step-by-step explanation:
160 = 5hr
160 x 3 = 480
5 x 3 = 15
480/15 = 32
John earns $6000. He spends $1000 on rent, $1500 on grocery, $500 on travel and saves the rest. What size angle should be drawn on the pie chart to represent his savings? *
Answer:
$3000
Step-by-step explanation:
6000-1000-1500-500= $3000
Study the system of equations.
x + 7y < 14
x – 2y < 10
Which ordered pair is a solution of this system?
(-1, 3)
(0, 3)
(1, 3) (3, 0)
Answer:
(3,0)
Step-by-step explanation:
guys do you know 9 divided by 0.954 because when i calculate it , it shows this big number so can you put it in an short way?
Answer:
9.43
Step-by-step explanation:
You simply use the first couple digits of the solution your calculator gave you. (How many depends on the question you were asked)
Answer:
9 23/53
Step-by-step explanation:
The fraction is not particularly nice. It can be written as ...
9/0.954 = 9000/954 = 500/53 = 9 23/53
As a decimal, the fraction has a 13-digit repeat:
[tex]9.\overline{4339622641509}[/tex]
QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST
Answer:
Step-by-step explanation:
Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B
Sam the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday
there were 5 clients who did Plan A and 3 who did Plan B. on Thursday there were 7 clients who did Plan A and 9 who did Plan B. Sam trained his Wednesday
clients for a total of 6 hours and his Thursday clients for a total of 12 hours. How long does each of the workout plans last?
Length of each Plan A workout:
Length of each Plan B workout:
Answer: 45 minutes for BOTH workouts
Step-by-step explanation:
Let time for plan a be x
Let time for plan b be y
On Wednesday
# of clients for plan a are 5
# clients for plan b are 3
On Thursday
# of clients for plan a are 7
# of clients for plan b are 9
Wednesday eqn --> 5x+3y=6
Thursday eqn --> 7x+9y=12
Multiply Wednesday equation by -3 and use elimination to solve
-15x-9y=-18
7x+9y=12
-8x=-6
x=6/8
Reduce: x=3/4 hour
Substitute x=3/4 into Thursday equation
7(3/4)+9y=12
9y=27/4
y=3/4
Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes
Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:30 tacos and 70 burritos
Step-by-step explanation:
inequality 1: y≤110−x shade down
inequality 2:y≥80− 1/2x Shade up
Answer (30,70)
asking for some help
What is m<6
A.80
B. 100
C.70
D.110
Step-by-step explanation:
to fully answer we would need to see at least one specific size (segment lengths, angle sizes).
but there is not one in the whole visible picture. so, everything just stays relative.
just be the presentation in the picture, angle 6 is larger than 90 degrees. so, B or D would be right.
if it helps you, it is clear that 6 = 1 = 9 = 14 = 180-2 = 180-5 = 180-10 = 180-13.
Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.
Answer:
the answer is 10,0000
Step-by-step explanation:
help me on this question. would be nice if you could also graph it as well
One coin is flipped and then one die is rolled. What is the probability of getting a head on the coin and an odd number on the die? {?} Give your answer as a percentage.
The probability of getting a head on the coin and an odd number on the die is 25%
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
One coin is flipped, and then one die is rolled.
Let H is the head and T is tails.
The sample space is {H, T}
The probability of getting a head on the coin
= The possible outcomes / the total outcomes
= 1/2
One die is rolled.
So, the sample space is {1, 2, 3, 4, 5, 6}
The sample space for odd number is {1, 3, 5}.
The probability of getting an even number on the die
= 3/6
= 1/2
If two events A and B are independent, then the probability that they occur together is the product of their individual probabilities:
P(A and B) = P(A) P(B)
= 1/2 x 1/2
= 1/4
= 0.25
And 0.25 in percentage is 25%.
Therefore, the probability is 1/4.
To learn more about the probability;
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WILL GOVE 50 POINTS AND BRAINLIEST PLZZZZZZZZZZZZZZZZZ HELP
Examine the diagram of a chloroplast.
Which choice best describes the function of the part labeled B?
enclosed space containing proteins used in ATP formation
membranes enclosing open space
layered stacks of membranes
fluid space that contains DNA, ribosomes, and other enzymes
Answer:
fluid space that contains DNA, ribosomes, and other enzymes
Step-by-step explanation:
B is points towards the "empty" space, meaning its Stroma.
Stroma defintion: involved in the synthesis of organic molecules from carbon dioxide and water or the fluid of the chloroplast surrounding the thylakoid membrane;
Let's look at the answer choices.
A. enclosed space containing proteins used in ATP formation
B. membranes enclosing open space
C. layered stacks of membranes
D. fluid space that contains DNA, ribosomes, and other enzymes
Obviously not C.
A is Synthase.
B is the whole thing.
It is D.
(BTW THIS IS MATH!! Not science!! Just in case you have more questions!)
Answer:
raw
Step-by-step explanation:
A pole that is 3.1 m tall casts a shadow that is 1.57 m long. At the same time, a nearby tower casts a shadow that id 50.5 m long. How tall is the tower? Round your answer to the nearest meter.
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows at the same time create therefore two similar right-angled triangular
triangles.
that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.
so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.
therefore,
1.57 × f = 50.5
f = 50.5 / 1.57 = 32.1656051...
the height of the tower is then
3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m
Find the value of x.
Answer:
x = 19
Step-by-step explanation:
(5x+4)+(x-2)+(3x+7) = 180
5x+4+x-2+3x+7 = 180
9x+9 = 180
9x = 171
x = 171/9
x = 19
If b = ⟨6,5⟩, and c = ⟨2,9⟩, find a = 5b − 6c.
Answer:
< 18, - 29 >
Step-by-step explanation:
a = 5b - 6c
= 5 < 6, 5 > - 6 < 2, 9 > { multiply each element by the scalar ]
= < 30, 25 > - < 12, 54 > [ subtract corresponding elements ]
= < 30 - 12, 25 - 54 >
= < 18, - 29 >
Answer:
a=(18,-29)
Step-by-step explanation:
You plug (6,5) in for 5b and you plug (2,9) in for -6c so now you get a=5(6,5)-6(2,9) then you cross multiply the 5 and the -6 therefore you get a=(30,25)+(-12,-54) then you add them together getting the answer a=(18,-29).
She received 900 beads, and 10% of them were green. How many green beads did Liz receive?
Therefore, Liz received about 90 beads that were green.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Answer:
90
Step-by-step explanation:
10 is 10% of 100 so then 10 times 9 = 90.
Which congruence criteria is met in the following scenario?
SAS
SSS
None, because SSA is not a triangle congruence criteria.
ASA
AAS
None, because SSA is not a triangle congruence theorem.
60 points!!! Please answer immediately and the entire page please I will also give you five stars
Answer:
Step-by-step explanation:
9. Correct, D
-3Y + 9X <= 12
3Y - 9X => -12
3Y => -12 + 9X
Y => -4 + 3X
10. D
11. D
12. Correct, B
13. Correct, E
14. A
15. B
What polygon is shown below?
O A. Square
O B. Rhombus
Answer:
The answer is Option B, Rhombus
Step-by-step explanation:
The picture shows that it is indeed a Rhombus.
The given below is rhombus.
what is polygon?
A polygon is a two-dimensional geometric figure that has a finite number of sides.
As, per the figure the given figure is a quadrilateral.
As its four sides are equal.
So, it can be a side or rhombus but the corner angle are not 90 degrees,
Hence, the given figure is Rhombus.
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