Answer:
An amusement park studied methods
Step-by-step explanation:
3x+4y+6z=15
Solve for x.
Answer:
[tex]x = 5 - \frac{4}{3} y - 2z [/tex]Step-by-step explanation:
Question:-To solve for xEquation:-3x + 4y + 6z = 15Solution:-=> 3x + 4y + 6z = 15
[On subtracting both sides with 4y]=> 3x + 4y + 6z - 4y = 15 - 4y
[On Simplification]=> 3x + 6z = 15 - 4y
[On subtracting both sides with 6z]=> 3x + 6z - 6z = 15 - 4y - 6z
[On Simplification]=> 3x = 15 - 4y - 6z
[On dividing both sides with 3][tex] = > \frac{3x}{3} = \frac{15 - 4y - 6z}{3} [/tex]
[On Simplification][tex] = > x = 5 - \frac{4}{3} y - 2z \: (ans)[/tex]
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3x+4y+6z=15 Solve for x.[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
[tex]x = 5 - \frac{4}{3} y - 2z[/tex]
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
[tex]3 \orange{+ 4y + 6z = 15}[/tex]
Move the variables to the right-hand side and change their signs.
[tex]3x = 15 \orange{ - 4 - 6z}[/tex]
Divide both sides of the equation by 3
[tex]\orange{3x = 15 - 4 - 6z}[/tex]
[tex]↓[/tex]
[tex]\orange{x = 5 - \frac{4}{3} y - 2z}[/tex]
The x-intercepts of 3x+4y+6z=15 is
[tex]x = 5 - \frac{4}{3} y - 2z[/tex]
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
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A dog runs 100 meters in 4 seconds. A lion runs 250 meters in 10 seconds.
What is the difference in their speeds?
Answer:
C their speeds are equal
Answer: C) Their speeds are equal
Step-by-step explanation:
Use the speed-distance equation
Dog - s=d/t = 100/4 = 25m/s
Lion - s=d/t = 250/4 = 25m/s
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answer:
C
Step-by-step explanation:
[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]
Answer: Choice A) -3, 11, -45, 179, ...
=====================================================
Explanation:
1st term = -3
new term = -4*(previous term) - 1
2nd term = -4*(1st term) - 1
2nd term = -4*(-3) - 1
2nd term = 12 - 1
2nd term = 11
The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.
When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.
On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.
0.1/0.5=X/10 what is x
0.1/0.5 is the same as 1/5
1/5 = X/10
we times both sides by 10 to get x on its own
1/5 x 10 = 10/5 = 2 ( which equals X/10 x 10)
X/10 x 10 = X
2 = X
pls help anyone know dis
Answer:
1st one:5≥x>-infinity
2nd one :5<x<+infinity
3rd one :5>x>- infinity
Marcus has hired 3 people to help him with his lawn business. He pays all the same, and he pays them every day. He paid $360 to his 3 workers today. How much did each worker get. In complete sentence
Hi!
If they each got the same, then they each got 1/3 of the total $360. Therefore, we can divide 360 by 3. We can do this by dividing 36 by 3, 36/3, and that's 12. Then add the 0! 120.
Your sentence could be: "The amount of money each worker got can be represented by 360/3, which is $120."
Hope this helps! :D
Answer: Since Marcus hired 3 people and paid them $360 altogether, it should be easy to figure this out through dividing. 360/3 or 360 divided by 3 = 120. You can put three into 360 one-hundred and twenty times. So, your answer would be that each worker got $120.
Compare the linear equation 2x-y=4 to the function graphed below.
Answer:
The answer is be the intercept
how to fix my calculator please help meee i cuold not fix it plsss what to do
so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.
Answer:
by a new one?????
Step-by-step explanation:
4x+6<-6 how to solve
Answer:
The answer is below.
Step-by-step explanation:
4x<-6-6
4x<-12
x= -3
Inequality form:
x< -3
Interval Notion:
(-8,-3)
Note: Turn the -8 on the sideways on the right, because its not 8.
Answer: x < -3
Step-by-step explanation: 4x+6=-6
-6 -6
4x/4 -12/4
x<-3
Which equation is correct and shows that 42 is 7 times the size of 6?
42 × 2 = 7
42 × 6 = 7
42 ÷ 2 = 7
42 ÷ 6 = 7
The sequence -1, 1, -1, 1 and so on is
Answer:
-1 is the next one ithink
what is the answer to this question?
posted a picture for better understanding:)
Answer:
5
Step-by-step explanation:
Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.
From the question,
[tex]a_{n} = a_{n-1} - 5[/tex]
if n = 2 ;
[tex]a_{2} = a_{1} - 5[/tex]
[tex]a_{2} = 20 - 5 = 15\\[/tex]
Thus, we got [tex]a_{2} = 20[/tex].
if n = 3 ;
[tex]a_{3} = a_{2} - 5[/tex]
[tex]a_{3} = 15 - 5 = 10[/tex]
Thus, we got [tex]a_{3} = 10[/tex].
if n = 4 ;
[tex]a_{4} = a_{3} - 5[/tex]
[tex]a_{4} = 10 - 5 = 5[/tex]
Thus, we got [tex]a_{4} = 5[/tex].
***There are many ways to solve this question
example:
[tex]a_{n} = a_{n-1} - 5[/tex]
[tex]a_{n} - a_{n-1} = - 5[/tex]
Substitute n with 2, 3, 4
Then, we will get 3 equations.
Sum them up;
We will get
[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]
Solve x2 + 8x – 3 = 0 using the completing-the-square method.
A.x = 4+ 13
B.X= 4+13
C.x= 4+19
D.X=4 + √19
[tex]x = -4 \pm \sqrt{19}[/tex]
Step-by-step explanation:
Let us put 3 on the right side and rewrite the equation as
[tex]x^2 + 8x = 3[/tex]
By putting 16 on both sides, our equation becomes
[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]
[tex]\Rightarrow (x + 4)^2 = 19[/tex]
Taking the square root of the equation, we get
[tex]x + 4 = \pm \sqrt{19}[/tex]
Finally, solving for x,
[tex]x = -4 \pm \sqrt{19}[/tex]
Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a
histogram showing her data:
# of messages
2
0
0
20
40
60
80
100 120
# of characters
Which interval contains the median number of characters?
The median of a histogram is the middle element of the histogram.
The interval contains the median number of characters is 20 - 30
The number of characters is given as:
[tex]n = 9[/tex]
The median position is then calculated as:
[tex]Median = \frac{n + 1}{2}th[/tex]
So, we have:
[tex]Median = \frac{9 + 1}{2}th[/tex]
Add 9 and 1
[tex]Median = \frac{10}{2}th[/tex]
Divide 10 by 2
[tex]Median = 5th[/tex]
So, the median is the 5th position.
From the histogram (see attachment), the 5th element is in the interval 20 to 30.
Hence, the interval contains the median number of characters is 20 - 30
Read more about median at:
https://brainly.com/question/9298915
20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?
It would take 7.9 years to increase their population to 60.
An exponential function is in the form:
y = abˣ
where a is the initial value of y and b is the multiplier.
Let y represent the number of giraffes after x years.
From the question:
a = 20, b = 2, hence
[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]
It would take 7.9 years to increase their population to 60.
Find out more on exponential function at: https://brainly.com/question/2456547
An undersea explorer descends from the surface at a rate of 36 feet per minute.
What is the position of the undersea explorer relative to the surface after descending for 4 minutes?
Enter your answer in the box.
Answer:
-144 feet from the surface in 4 minutes
Step-by-step explanation:
-36 x 4
With the same rate, the position of the undersea after 4 minutes will be -144.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
Rate of descends = 36 feet per minute
After 4 minutes,
36 x 4 = 144
Since it is descending so it can be said to be -144.
Hence "After 4 minutes at the same rate, the position of the undersea will be -144".
To learn more about the rate of change here,
brainly.com/question/12786410
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About how many years ago did Jesus live
A.10,000
B. 5,000
C. 2,000
D. 1,000
Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago
2v-3(v+5) simplify answer
Answer:
-v-15
Step-by-step explanation:
This is the answer.
Have a good day.
Let me know if you need an explanation.
It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?
It costs a man 75 dollars to buy the things that he needs to make hot dogs. The city allows him to sell his hot dog somewhere near the city hall. However, the city hall charges him 1 dollar for each hot dog sold
Calculate how many hotdogs he will have to sell in order to make a profit if the price he charges for 1 hot dog is $1.50.
Simplify
−
2
x
×
3
x
×
−
x
Answer: 6x^3
Step-by-step explanation:
3.
Mark is m years old. June is 6 years older that Mark. What is their total
age in 10 years' time?
Answer:
20m+60
Step-by-step explanation:
given,
mark=m
june=m+6(6 years older that mark)
so,
after 10 years,
10(m+(m+6)
=10(2m+6)
=20m+60
Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.
Answer:
Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]
= 3[tex]\frac{3}{8}[/tex]
Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9
= 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)
= [tex]\frac{3}{8}[/tex]
The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.
solve for x where xe(0,2pi). state exact answers.
b)
[tex] \frac{1}{ \sqrt{3} } \sin(2x) + \cos(x) = 0[/tex]
e)
[tex]3 \cos(x) + \tan(x) = 0[/tex]
Note: for question e, get this equation to a point ready for factoring or to use the quadratic formula, then stop. make sure its in standard form.
Answer:
that's the correct answer
MCQS:
Solve for X: X-3 = 27/64
A. 42
B. 43
C. 34
D. 14
Answer:
219/64
Step-by-step explanation:
x - 3 = 27/64
64(x - 3) = 27
64x - 192 = 27
64x = 27 + 192
64x = 219
x = 219/64
Answer:
[tex]x = 3.4218[/tex]
Step-by-step explanation:
[tex]x -3=\frac{27}{64}[/tex]
[tex]64(x-3)=27[/tex]
[tex]64x-192=27[/tex]
[tex]64x=27+192[/tex]
[tex]64x=219[/tex]
[tex]\frac{64x}{64} =\frac{219}{64}[/tex]
[tex]x = 3.4218[/tex]
Hope this helps you :-)
Let me know if you have any other questions :-)
A bottle rocket takes off with a speed of 13 m/s and is angled 55 degrees above the horizon. What is the Y component of the velocity ?
Step-by-step explanation:
Let the speed of bottle rocket be u and angle with horizon be A.
Then,
u= 13m/s
A= 55°
Now,
we know that,
x- component,
X= 13 cosA
Y-component,
Y = 13 sinA
=13×0.81915
=10.649 m/s ANS
Multiply and write in standard form:
(2x + 1)(5x - 2)
Show all work for full credit.
Answer:
10x^2+x-2
Step-by-step explanation:
(2x+1)(5x-2)
10x^2+5x-4x-2
10x^2+x-2
The rectangular prism shown is formed by six intersecting planes.
Where do the planes ABFE and EFGH intersect
Answer:
Line EF
Step-by-step explanation:
Planes intersect at lines
The planes ABFE and EFGH intersected by line EF.
What is Prism?A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
We have cuboidal prism which have faces ABFE and EFGH.
To find the point for intersecting we have to find a point or line which is common in both planes.
Here the point E and F are common.
But the plane EF is also common
Thus, the intersecting line is line EF.
Learn more about Prism here:
https://brainly.com/question/29722724
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Factor w2 + 3w+w + 3 by grouping,
Answer:
(w+3)(w+1)
Step-by-step explanation:
In w^2 + 3w+w + 3,
we group it so that it looks like (w^2+w) + (3w+3)
Then we factor so that is w(w+1) + 3(w+1).
Distributive property(converse) allows us to simplify to (w+3)(w+1)
A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?
Answer:
each cup would cost $0.52
Step-by-step explanation:
there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52. hope this helped :))
Tell me I got this wrong