Answer:
n = 11
Step-by-step explanation:
The side length of a triangle are n,n-3 and 2(n-2).
The perimeter of the triangle, P = 37 units
We need to find the value of n.
Perimeter = sum of all sides
n+n-3 +2(n-2) = 37
2n-3+2n-4 = 37
4n -7 = 37
4n = 37+7
4n = 44
n = 11
So, the value of n is 11.
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
Please help me ASAP!
On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants.
How many kilograms of plant food did Sheldon have left?
Answer:
Sheldon had 2 7/12 kg left
4 1/4 - 1 2/3 = 3 1/4 - 2/3
= 3 3/12 - 8/12
= 2 15/12 - 8/12
= 2 7/12
Hope this helps! have an amazing day :)
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]
does anyone know how to solve 2x+3y=7 and 4x-5y=25 using substitution to solve the system of equations. PLEASE HELP ONLY IF YK IT
Answer:
x = 5, y = -1
Step-by-step explanation:
2x+3y=7
4x-5y=25
Keep the second equation the same, but change the first equation so you have something to substitute into.
3y= -2x+7
y= -2/3x + 7/3
substitute into second equ.
4x + 10/3x - 35/3 = 25
put the variables on one side, and the numbers on the other.
22/3x = 110/3
divide by 3
22x = 110
x = 5
Substitute x = 5 into the first equation,
10 + 3y = 7
move numbers to one side, and variables to the other.
3y = -3
y = -1
Answer:
x = 5, y = - 1
Step-by-step explanation:
2x + 3y = 7
4x - 5y = 25
In the second equation, solve for y in terms of x:
4x - 5y = 25
- 5y = 25 - 4x
- y = 5 - 4x/5
y = - 5 + 4x/5 Now substitute this for y in equation 2x + 3y = 7
2x + 3(-5 + 4x/5) = 7
2x - 15 + 12x/5 = 7
10x/5 - 15 + 12x/5 = 7
22x/5 = 7 + 15
22x/5 = 22 Now multiply both sides by 5/22 to isolate :
x = 5
Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:
4(5) - 5y = 25
20 - 5y = 25
- 5y = 5
y = - 1
You can check that these are correct by substituting x = 5 and y = -1 into the above equations to make sure they check out.
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.
To learn more about an arithmetic sequence visit:
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Mrs. Rawlings is preparing to celebrate National Cone Appreciation Day! She will paint 100 cones like the one shown to the right. Approximately how much paint will she need? (Use 3.14 for n.)
Answer:
Step-by-step explanation:
8+5+9.4= 22.4
100n+22.4
100(3.14)+22.4= 336.4
I gave you this to help you, if you know how much is in each paint cans, than divide that number with 336.4, and you'll get your answer.
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
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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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]
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
Ashley charges 25.00 pesos for every page for
encoding. In addition, she charges 5 pesos per
page of printed output. How many page/s
did she encode
and print if she receives
amount of 960.00 pesos?
a. 10
c. 30
b. 20
d. 32
first add 25 and 5 and divide 960 by 30
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
delta math help plz im stuck
Step-by-step explanation:
-70x^4 + 30x
= 10x(-7x^3 + 3)
ANSWER: 10x(-7x^3 + 3)
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 :)
PLzzzzzzz help m on this I am stuck
Answer:
what are you stuck on?
Which problem?
Step-by-step explanation:
6 m 11m in area
10yrd 8yd in area
5in 7in in area
4cm 6cm 10cm in area
Please I need answers for all of them
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
write a real word problem that you could represent 3+ x =10
Answer:
A class has 10 science students, both of Physics and Biology.
If Biology group has 3 students, what's the number of students in the Physics group?
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.
please.
What does f(10) = for the function f(x) = -2X + 5*
(1 Point)
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
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
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!
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
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
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.
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
ok i can drag what goes in what
Answer:
The equation should look like c=1.59 times a
Step-by-step explanation:
if it cost 1.59 dollars per pound of apple it is going to be a multiplication problem so then you fill in the blanks, A standing for per pound of apples and C representing total cost
Can anyone help me solve this is a worksheet extra credit
Answer:
11. Coordinates of the meeting point 18,24
12.equation for line R, y= -2x/5-4
equation for line E,y=2x/5+12
13. 1,3, 4,5,10,13 ,15
14.70°
15. AC= 47
Step-by-step explanation:
I'm pretty sure about the answers. Please consider making brainliest. Thank you