Answer:
Step-by-step explanation:
Givens
Perimeter = 80 feet
side 1 = n
side 2 = 3n + 7
side 3 = 3n + 3
Formula
Side 1 + side 2 + side 3 = 80
Solution
Substitute the length for each side into the equation
n + 3n + 7 + 3n + 3 = 80
7n +10 = 80 Subtract 10 from both sides
7n + 10 - 10 = 80 - 10 Combine
7x = 70 Divide by 7
7x/7 = 70/7 Combine
x = 10
Answer
Side 1 = n = 10
Side 2 = 3n + 7 = 3*10 + 7 = 37
Side 3 = 3n + 3 = 30 + 3 = 33
What numbers could replace each letter to make both of the number sentences true?
Answer:
N = 9 & P = 4
Step-by-step explanation:
N* N = 81
N * N = 9*9
N = 9
N * P = 36
Substitute N = 9,
9* p = 36
P = 36 ÷ 9
P = 4
what is the volume inside a cylinder 10ft radius 6 ft height
Answer:
1884.956ft³
Step-by-step explanation:
[tex]volume = \pi {r}^{2} h \\ = \pi \times {10ft}^{2} \times 6ft \\ = 600\pi {ft}^{3} \\ = 1884.956 {ft}^{3} [/tex]
Please rate brainliest
5b-4a+6, when a= 7 and b= 6
Answer:
Use Substitution Method -
5(6)-4(7)+6=30-28+6
=2+6
=8
an office manager purchased 39 boxes of pens for the staff. each box contains 6 black pens and 4 blacks pens. Use the distribute property to write an equivalent expression for the total number of pens. them, simplify the expression
Answer:
390 pens in total
Step-by-step explanation:
Each box has 6 black and 4 black
so the total amount of pens per box should be 10 because 6+4=10
Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.
6+4 is 10
and 10 * 39 is 390
therefore the answer is 390 pens in total
what is 6(8x+1) equil to ?
Hello!
Let's use the Distributive Property & simplify:
6(8x+1)
distribute 6 by multiplying it times 8x and 1:
48x+6
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Answer:
[tex]\displaystyle 6 + 48x[/tex]
Step-by-step explanation:
[tex]\displaystyle 6[8x + 1] \hookrightarrow \boxed{48x + 6}[/tex]
I am joyous to assist you at any time.
Which reason best explains why m^10n^3 is NOT equal to (mn)^13?
Answer:This law of exponents can only be used when the bases are equal.
Step-by-step. explanation:
The local women's club baked 196 pies. One pie dropped onto the floor and
was thrown away. If they give equal amounts of the remaining pies to each
of two schools, how many whole pies would each school receive?
100 pies
96 pies
97 pies
98 pies
Answer:
97
Step-by-step explanation:
196 ÷ 2 = 97.5
you cannot include the .5, so each school gets 97 pies
find the average rate of change of over the interval (0,9 ]
Answer:
3. 10/9
4. 34
Step-by-step explanation:
The average rate of change of f(x) over the interval a ≤ x ≤ b is:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Problem 3
Given interval: 0 ≤ x ≤ 9
From inspection of the graph:
f(0) = -7f(9) = 3[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]
Problem 4
Given:
function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6⇒ f(1) = (1)³ - 9(1) = -8
⇒ f(6) = (6)³ - 9(6) = 162
[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]
Question Help
8.6.PS-13
A circular plate has circumference 28.3 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
Step-by-step explanation:
Area = 63.9 inches²
Joan has made four mistakes in her diagram. write down any three of them.
Answer:
dude
Step-by-step explanation:
how are you supposed to know but you are smart hopefully you will answer
5 A bag of tiles contains 6 green, 4 yellow, and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile.
Make sure to give your probability as a fraction in simplest form.
Answer:
3/5
Step-by-step explanation:
6+4+5 = 15
5+4 = 9
9/15 = 3/5
Answer:
3/5
Step-by-step explanation:
Since it given that a bag of tiles contains:
6 green
4 yellow
5 blue
To Find:
If one tile is pulled at random what is the probability of NOT choosing a green tile.
Solve:
knowing that there are a total of 15 tiles {6+5+4=15}
And there is 6 green tiles
Thus, 15 - 6 = 9
Hence, the probability of Not Choosing a green tiles before simplest form is 9/15
GCD - 3
Divide both the numerator and denominator by the GCD
9 ÷ 3/15 ÷ 3
Reduced fraction = 3/5
Therefore, the probability of Not choosing a green tiles is 3/5
~Lenvy~
Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?
Step-by-step explanation:
total money she has = $25
she bought a gallon of milk for $3.50
amount remaining = 25-3.50 = $21.50
number of cereal she can buy with the remaining amount =21.50/4.50 = 4.77 boxes
she can buy 5 boxes (approximately)
Simplify.
1/3 ≠ 18n^2 * 2n
Answer:
n³ ≠ 108
Step-by-step explanation:
1/3 ≠ 18n² * 2n
1/3 ≠ 18 * n² * 2 * n
1/3 ≠ 18 * 2 * n² * n
1/3 ≠ 36n³
Cross multiply,
1 * n³ ≠ 3 * 36
n³ ≠ 108
Hence simplified.
Since the inverse of a trigonometric function asks to name the angle given its value, are either or both of these correct? Give a reason for your answer. Tell why both are correct, or tell why both are incorrect, or tell why only 1 or the other is correct.
Sin¯¹ (1/2) = 30°
and Sin¯¹ (1/2) = 150°
Answer:
Statement 1 is correct.
Step-by-step explanation:
Inverse sign is only defined from -90° to 90° therefore statement 2 is false.
Olivia borrowed $5,000 for 5 years at 5% simple interest.
Answer:
The answer is $1250
Step-by-step explanation:
Solution,
Principle (P) = $ 5,000
Time (T) = 5 years
Rate(R) = 5 %
Simple Interest (I) = ?
Now,
We have,
Simple Interest (I) = P×T×R/ 100
= 5,000×5×5/100
= $1250
Which best describes what happens when you compose two functions?
O A. You use the input of the first function as the input of the second
function.
O B. You use the output of the first function as the input of the second
function.
O C. You use the output of the first function as the output of the
second function.
O D. You use the input of the first function as the output of the second
function.
Answer:
B. You use the output of the first function as the input of the second
function
Step-by-step explanation:
example
if f is x+2 and g is x+3 then
when you compose two functions
you put g in f where the x is
(x+3) + 2
so
f(g(x)) = (x+3) + 2 =
x + 5
formula is
(f ∘ g)(x) = f(g(x))
https://brainly.com/question/12573413
onlinemathlearingcomcompositefunctionshtml
carlos made a list of the scores he obtained on 10 test. 43, 72, 75, 86, 91, 91, 91, 95. The teacher will remove the lowest score from the list. which statical measure will increase if the lowest scored is removed?
Answer:
mean
Step-by-step explanation:
The mean will decrease, in an option of mean, mode, median and range:)
What is the sum of the following equation?
three tenths plus thirty nine hundredths equals blank
Answer:
Step-by-step explanation:
Writing out the word question in numbers: three tenths plus thirty nine hundredths equals blank -
3/10 + 39/100 = ?
= 30/100 + 39/100
= 69/100
or 0.69 or sixty nine hundredths.
First convert words to no
three tenths=3/10thirty nine hundreds=39/100find sum
3/10+39/10030+39/10069/1000.69Which expression represents the product of b and 18?
A. 18(b-18)
B. 18+b
C. 18/b
D. 18b
Answer:
You're answer is D.18b
Hey there!
The product of a number and 18 means you multiply that number times 18; the result is called the product.
When we multiply a number times a variable, we always write the number before the variable.
For example, we multiply 4 times d, and the result is 4d.
Let's check the options and see if we can spot something like "5a"
The first option: we multiply 18 times the difference of b and 18.
The second option: we add 18 and b
The third option: we divide 18 by b
The fourth option: we multiply 18 times b (That's the right option! We did it :)
Hence, the answer is
[tex]\boxed{\boxed{\bold{18b}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
Quite urgent lol but should probably be quick I guess :(
Answer:
(a) [tex]y=x^2-2x-8[/tex]
(b) [tex]y= -\dfrac12x^2+4x-6[/tex]
Step-by-step explanation:
(a) From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at
[tex]x = -2[/tex] and [tex]x =4[/tex].
Therefore [tex]y = a(x + 2)(x - 4)[/tex] where [tex]a[/tex] is some constant
The y-intercept is at (0, -8)
Expanding the equation:
[tex]y = a(x + 2)(x - 4)[/tex]
[tex]\implies y = a(x^2-4x+2x-8)[/tex]
[tex]\implies y= ax^2-2ax-8a[/tex]
Therefore, -8a is the y-intercept
Comparing y-intercepts: -8 = -8a ⇒ a = 1
Substituting a = 1, the final equation in standard form is:
[tex]y=x^2-2x-8[/tex]
--------------------------------------------------------------------------------------------------
(b) From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at
[tex]x = 2[/tex] and [tex]x =6[/tex].
Therefore [tex]y = a(x -2)(x - 6)[/tex] where [tex]a[/tex] is some constant
The y-intercept is at (0, -6)
Expanding the equation:
[tex]y = a(x -2)(x - 6)[/tex]
[tex]\implies y = a(x^2-6x-2x+12)[/tex]
[tex]\implies y= ax^2-8ax+12a[/tex]
Therefore, 12a is the y-intercept
Comparing y-intercepts:
[tex]-6 = 12a \implies a = -\dfrac12[/tex]
Substituting found value of a into the equation:
[tex]\implies y= (-\dfrac12)x^2-8(-\dfrac12)x+12(-\dfrac12)[/tex]
[tex]\implies y= -\dfrac12x^2+4x-6[/tex]
y = a(x-h)²+k where (h,k) denotes the vertex
Q.1)
vertex: (1, -9) where h=1, k = -9
coordinates: (0, -8) where x = 0, y = -8
find for a:
y = a(x-h)²+k
-8 = a(0-1)²-9
-8 = a -9
a = 1
============
equation: y = (x-1)²-9
Q.2)
vertex: (4, 2) where h=4, k = 2
coordinates: (2, 0) where x = 2, y = 0
find for a:
y = a(x-h)²+k
0 = a(2-4)²+2
-2 = 4(a)
a = -1/2
============
equation: y = -1/2(x-4)²+2
A jewelry case has a base area of 37.5 sq cm and a height of 1.5 cm ..what is the volume of 6 of these cases
Answer:
As Per Provided Information
A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .
Total Number of these cases are 6 .
We have been asked to determine the volume of these cases .
[tex]\bf\: Volume_{(Jewellery \: Cases)} = Base \: Area \: \times height \times Total \: number \: of \: Jewellery \:Cases[/tex]
Let's substitute the given value and we obtain
[tex]\sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = 37.5 \times 1.5 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 56.25 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 337.5 \: {cm}^{3} [/tex]
Therefore,
Volume of 6 jewellery cases are 337.5 cm³Step-by-step explanation:
Given:-
Base area :- 37.5 sq. cmHeight:- 1.5 cmTo Find:-
Volume of such 6 jwellery caseSolution:-
Volume of 1 box :- base area × height
37.5 cm² × 1.5 cm
56.25 cm³
So , volume of 6 such cases :- 56.25 × 6
= 337.5 cm³
Solve for b.
-3b + 2.5 = 4
Answer: b = -0.5
Step-by-step explanation:
Given
-3b + 2.5 = 4
Subtract 2.5 on both sides
-3b + 2.5 - 2.5 = 4 - 2.5
-3b = 1.5
Divide -3 on both sides
-3b / -3 = 1.5 / -3
[tex]\boxed{b=-0.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex]\Longrightarrow: \boxed{\sf{b=-0.5}}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate the term of b from one side of the equation.
-3b+2.5=4First, you have to subtract by 2.5 from both sides.
→ -3b+2.5-2.5=4-2.5
Solve.
Add or subtract the numbers from left to right.
→ -3b=1.5
Then, you divide by -3 from both sides.
→ -3b/-3=1.5/-3
Solve.
Divide the numbers from left to right.
→ 1.5/-3=-0.5
b=-0.5
Therefore, the correct answer is b=-0.5.I hope this helps! Let me know if you have any questions.
Find the multiplicative inverse of 6/8
It's 8/6
Because 6/8 × 8/6 = 1
Answer:
it's 8/6
I hope it's help u
A business analyst has determined that the selling price per unit for a laser printer is $1600. The cost to make one laser printer is $950, and the fixed cost is $211,250. Find the break-even point.
please show the work thank you
Answer:
Solve the following equation
Step-by-step explanation:
You need to make an equation of this
Let x be the number of computers made
1600 × x = (950 × x) + 211250
When both sides are equal, that is the break even
Shares of company A are sold at $10 per share. Shares of company B are sold at $50 per share. According to a market analyst, 1 share of each company can either gain $1, with probability 0.5, or lose $1, with probability 0.5, independently of the other company. Which of the following portfolios has the lowest risk? a. 100 Shares of A
b. 50 shares of A + 10 shares of B
c. 40 shares of A + 12 shares of B
Answer:
b.
Step-by-step explanation: its 50 shares the to straiges you should use is multiplying or adding i used both bt its b.
There are 6 people on the ballot for regional judges. Voters can vote for any 4. Voters can
choose to vote for 0, 1, 2, 3, or 4 judges. In how many different ways can a person vote?
A. 57
B. 5
C. 15
D. 6
Answer:
The answer is five.
Step-by-step explanation:
A person has only 5 options., as stated in the question.
0
1
2
3
4
That means that one person can vote 5 different ways.
What is the area of this shape?
Answer:
Area is 80[tex]m^{2}[/tex]
Step-by-step explanation:
Since the shape is a triangle, then the formula for area is: a = bh/2
Given values:
b = 20m
h = 8m
Substitute the given values into the equation
a = 20 x 8 / 2
a = 160/2
a = 80 meters squared
hope this helps and is right!! p.s. i really need brainliest :)
A total of 30000 tickets were sold for a concert of this amont 1/4 were sold for $1500 each 1/3 at $ 1000 each and the rest at $750 each .how many were sold at $750
Answer:
12,600
Step-by-step explanation:
1/3 = 4/12
1/4 = 3/12
Together they equal 7/12
The different is 5/12
5/12 = .416666 =.42
.42 x 30,000 = 12,600
how many quarters are in 20 dollars?
Hey there!
4 quarters = 1 dollar
To find how many quarters are in 20 dollars, we multiply 4 by 20
⇒ 4 × 20
⇒ 80
Therefore, 80 quarters are in 20 dollars
Solve by completing the square
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x = 33 [/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 8x +16 = 33 + 16 [/tex]
[tex]\qquad \sf \dashrightarrow \: (x + 4) {}^{2} = 49[/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \sqrt{49} [/tex]
[tex]\qquad \sf \dashrightarrow \: x + 4 = \pm7[/tex]
Hence, there are two solutions ~
1. when x + 4 = 7[tex]\qquad \sf \dashrightarrow \: x + 4 = 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3[/tex]
2. when x + 4 = -7[tex]\qquad \sf \dashrightarrow \: x + 4 = - 7[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 7 - 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 11[/tex]
I hope you understood ~