Step-by-step explanation:
7. x/4=-2.5
x = -2.5/4= 5/8
8. -22=n/2
n = -22×2 =-44
9. 1/3z = -5
z = -5×3 =-15
10. -1/4x=5/2
-2=5×4x
-2=20x
x=-20x/2=-10
An air traffic controller is tracking two planes. To start, Plane A was at an altitude of890 meters, and Plane B was at an altitude of1322 meters. Plane A is losing altitude at 16 meters per second, and Plane B is losing altitude at25 meters per second.
An air traffic controller is tracking two planes. To start, Plane A was at an altitude of890 meters, and Plane B was at an altitude of1322 meters. Plane A is losing altitude at 16 meters per second, and Plane B is losing altitude at25 meters per second. Expression which shows altitude of plane after x seconds.
Equation to show when they'll both be at the same altitude
Answer:
890 - 16x ; 1322 - 25x ; 9x = 432 = x = 48
Step-by-step explanation:
Plane A:
Altitude = 890 m
Altitude loss = 16 m per second
Plane A:
Altitude = 1322 m
Altitude loss = 25 m per second
Equation :
Altitude - (altitude loss * time)
Plane A:
890 - 16x
Plane B:
1322 - 25x
Plane A = Plane B
890 - 16x = 1322 - 25x
-16x + 25x = 1322 - 890
9x = 432
x = 432 / 9
x = 48 seconds
I need help
Evaluate using the order of operations.
3/4 +5/6 divided by 2/3
Answer:
2
Step-by-step explanation:
I Think its 2 I'm not sure Correct me if I'm wrong in comments.
Ms. James makes 150 cookies for her three daughters to take to school. Bella will take 60% of the cookies, Dana will take 30% of the cookies, and Olga will take the remaining 10% of the cookies.
Answer:
Bella takes 90 cookies
Dana takes 45 cookies
Olga takes 15 cookies
Step-by-step explanation:
.6(150) = 90 Bella
.3(150) = 45 Dana
.1(150) = 15 Olga
Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month. If you sign up for Mega-Gym, how many months is it until your cost os the same as Mega-er-Gym?
Answer:
3 months
Step-by-step explanation:
So 60 dollar down and 70 per month
130 (60+70)
200
270
now 90 per month but no down
90
180
270
So 3 months
The number of months will be 3 is it until your cost is the same as Mega-er-Gym. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mega-Gym costs a one-time $60 membership fee and then charges $70 per month, while Mega-er-Gym does not charge a membership fee but costs $90 per month.
Cost of Megagym = 60 + 70m
Cost of Mega-er-Gym = 90m
90m = 60+70m
20m = 60
m = 60 / 20
m = 3 months
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Sarah has to travel 60 miles to see her friend. Her dad drives at 30 mph and her uncle drives at 40 mph. How much time does she save if she travels with her uncle rather than her dad
Answer:
1h30min
Step-by-step explanation:
What is the area of this shape?
Answer:
1360cm
Step-by-step explanation:
34x40=1360
Answer:
1360[tex]cm^{2}[/tex]
Step-by-step explanation:
Since this is a parelelorgram. We can find the area by mulitlying the base and the height. and so we get....
base x height = 40 x 34 = 1360[tex]cm^{2}[/tex]
Please help me ASAP!
Evaluate the expression if x=2 and y=4
4x + 3y
1. 13
2. 15
3. 20
4. 21
4(2) + 3(4) =
8 + 12 =
20
and your final answer is 20
express 80 as an product of it's prime number
Answer:
"When you will get the factors of 80 you will get 2 * 2 * 2 * 2 * 5.
These numbers are the prime numbers that make them the prime factor of the 80.
It is known as prime because the number will not be divided by any other number except themselves or 1."
Step-by-step explanation:
Answer:
I
Step-by-step explanation:
wish this is your answer
please.
What does f(10) = for the function f(x) = -2X + 5*
(1 Point)
6. What is the solution of the system
of equations?
2x + 3y = 12
-6y = 4x - 24
A. X = 3, y = 2
B. X = 6, y = 0
C. Infinitely many solutions
D. No solution
Answer:
C
Step-by-step explanation:
If you rewrite the questions into linear form (y=mx+b) then you get
For the first one
2x-12= -3y
Divide by -3 and get
-2/3x +4 =y
For the second one
-6y=4x -24
Divide by -6 and get
y= -4/6x +4
Simplify the fraction and you get -2/3x+4 =y
Obviously these two lines are identical meaning that any number will work
what is a linear function and a nonlinear fuction and how can you tell if the ordered pairs go to them
9514 1404 393
Answer:
linear: slope between any two points is the samenon-linear: slope between two points may differStep-by-step explanation:
A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.
__
A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.
_____
Detailed Example
If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.
If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.
__
If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...
m = (y2 -y1)/(x2 -x1)
For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...
m = (15 -10)/(0 -(-2)) = 5/2
Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.
Find the value of each variable. PLEASE ANSWER ASAP DUE IN 1 HOUR
Answer:
x = 36 , 2x = 72 , 3x = 108 , 4x = 144
Step-by-step explanation:
2x = P+Q (ΔABC, exterior angle property)
4x = R+S (ΔDBC, exterior angle property)
4x + 2x = P+Q+R+S = (P+R) + (Q+S) = (180 - 3x) + (180 -x) (supplementary)
6x = 360 - 4x
10x = 360
x = 36
2x = 72
3x = 108
4x = 144
check: sum of interior angles = (180 x 4) - (36+72+108+144) = 360
Consider the first 2 terms of the sequence -6, 18,...
1. Determine the next 5 terms in the sequence if the sequence is arithmetic. Then write a function to
represent the arithmetic sequence.
2. Determine the next 5 terms in the sequence if the sequence is geometric. Then write a function to
represent the geometric sequence.
Answer:
arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30
geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)
Step-by-step explanation:
Arithmetic sequence:
-6, 18, ...
18 - (-6) = 24
18 + 24 = 42
42 + 24 = 66
66 + 24 = 90
90 + 24 = 114
y = -6 + 24(x - 1)
y = -6 + 24x - 24
y = 24x - 30
Geometric sequence:
-6, 18, ...
18/(-6) = -3
18 * (-3) = -54
-54 * (-3) = 162
162 * (-3) = -486
-486 * (-3) = 1458
1458 * (-3) = -4374
y = -6(-3)^(x - 1)
The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
Given that, the first 2 terms of the sequence -6, 18,....
Here, a=-6 and common difference = 18-(-6) =24
So, the next 5 terms in the arithmetic sequence are
18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138
42, 66, 90, 114, 138
The function is aₙ= -6+(n-1)24
= -6+24n-24
= 24n-30
The next 5 terms in the geometric sequence are
Here, a=-6 and common ratio = 18/(-6) =-3
Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374
The function is [tex]a_n=-6(-3)^{n-1}[/tex]
Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.
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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of n (no aproximations).
Answer:
Where's the shaded region?
Find the slope of the
equation below and show the work.
X=4
Answer:
Undefined
Step-by-step explanation:
If a linear equation is organized in the form x=[a number], we know straight away that this line is a vertical line. This form is actually [tex]x=d[/tex], where [tex]d[/tex] is the x-intercept of the line. Vertical lines do not have a y-intercept because they are parallel to the y-axis.
The slope of vertical lines is undefined.
I hope this helps!
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of the following is closest to the percent error for Diego's measurement?
Answer: 4.3%
Step-by-step explanation:
100(23 -23)/23
1. Identify and explain one way in which the movie portrays historical facts accurately in the movie (History vs. Hollywood).
Station 4
A library just hired Brittany to write reviews on different books. Brittany to read 36 books
in 9 weeks.
How many books was she required to read per week? Create a table to show how many
book she reads each week.
<
Answer:
4 books per week
Step-by-step explanation:
Table
Books per week Week
4 1
8 2
12 3
16 4
20 5
24 6
28 7
32 8
36 9
What is 0.2 x 0.8. Please help
Answer:
Simplifying 0.2x = 0.8 Solving 0.2x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '0.2'. x = 4 Simplifying x = 4
qt + a = -1
when q = 3 and t = 4
Answer:
[tex]a=-13[/tex]
Step-by-step explanation:
We can use substitution to find the value of [tex]a[/tex]:
[tex]qt+a=-1[/tex]
[tex]3(4)+a=-1[/tex]
[tex]12+a=-1[/tex]
[tex]a=-13[/tex]
Hope this helps :)
A pair of jeans is on sale for 25% off the original price. The sale price is $78. What is the original price
A.
$59
B.
$103
C.
$104
D.
$312
Answer: C (104)
Step by step explanation:
To find this answer, you would multiply all the answer choices by 25% and then add the answer to 78 and if the answer is that number, then its correct
104 times 25%=26
78+26=104
4x - 4 + 112 = 23x - 6
Answer:
x=6
Step-by-step explanation:
I hope it's helpful
Answer:
[tex]\huge\sf\underline\blue{Answer!}[/tex]
[tex] \sf \: 4x - 4 + 112 = 23x - 6 \\ \sf \: 4x + 108 + 6 = 23x \\ \sf \: 114 = 19x \\ \sf \: = x = 6[/tex]
Write the number 23.785 in expanded form and in word form
Answer:
20+3+0.7+0.08+0.005
Step-by-step explanation:
can you follow me
what is the value of 5 in this number 124.519 write your answer as a frasction
Will give brainliest!
F(4)=
9514 1404 393
Answer:
9
Step-by-step explanation:
As you know, 4 is between 3 and 10, so the middle definition applies.
f(4) = 4² -7 = 16 -7
f(4) = 9
It is 3{:}32\text{ p.M.}3:32 p.M.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at 6{:}00\text{ p.M.}6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text
Answer:
148 minutes
Step-by-step explanation:
It is 3{:}32\text{ p.M.}3:32 p.M.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at 6{:}00\text{ p.M.}6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How many minutes are there until Emma's gymnastics lessons?\
The time is 3:32 pm
Emma's gymnastics lesson is at 6:00 pm
6:00 pm - 3:32 pm = 2 hours 28 minutes
That is, we have 28 minutes before 4:00 pm
And 2 hours from 4:00 pm to 6:00 pm making a total of 2 hours 28 minutes
How many minutes are there until Emma's gymnastics lessons?
Convert 2 hours 28 minutes to minutes
1 hour = 60 minutes
2 hours = 60 minutes × 2 = 120 minutes
120 minutes + 28 minutes = 148 minutes
2 hours 28 minutes to minutes = 148 minutes
Pls help!!!!! 20 points! and brainliest!!!
Answer:i tried
Step-by-step explanation:
PLzzzzzzz help m on this I am stuck
Answer:
what are you stuck on?
Which problem?
Step-by-step explanation:
delta math help plz im stuck
Step-by-step explanation:
-70x^4 + 30x
= 10x(-7x^3 + 3)
ANSWER: 10x(-7x^3 + 3)