Answer:
Step-by-step explanation:
The length of the midsegment is half of the base in this case.
12x = 8x + 40
4x=40
x=10
So it's 60
Answer:
60
Step-by-step explanation:
A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.
Answer:
Number of package sold = 24 package
Step-by-step explanation:
Given:
Total number of package = 36
Remain package = 8
Computation:
Number of package sold = Total number of package - Remain package
Number of package sold = 36 - 8
Number of package sold = 24 package
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
Before a renovation a movie theater had 117 seats after the renovation theater had 173 what is the approximate percentage increase of the number of seats in the theater if necessary round to the nearest 10th in percentage
Answer:
47.86%
Step-by-step explanation:
Total number of seats in a movie theater Before a renovation = 117
Total number of seats in a movie theater after a renovation = 173
We need to find the percentage increase of the number of seats. It can be calcualted as :
[tex]\%=\dfrac{\text{|final number-initial number|}}{\text{initial number}}\times 100\\\\=\dfrac{173-117}{117}\times 100\\\\=47.86\%[/tex]
So, the increase in percentage is 47.86%.
Which are the solutions of the inequality − 2x > − 4?
Choose all that apply.
A 2
B 1.5
C 1
D 3.5
E 2.5
F −2
ASAP!!!!!!!
Answer:
B,C&F
Step-by-step explanation:
-2x>-4
multiplied by -1 gives 2x<4
And you devide both sides by 2 you get x<2
The numbers smaller than 2 in your options are 1,1.5 and -2
Frenando finished 6/8 of his homework greta finished 6/8 of her homework find a fraction that represent the amount of work that greta finished in a different form but equal to 6/8
Answer:
3/4
Step-by-step explanation:
you can write it in a different form by simplifying. 6/2 = 3. 8/2 = 4 so the answer is 3/4
REALLY URGENT!!!!! ANSWER FAST!!!!
Answer:
if am sure it's A
Step-by-step explanation:
Help me I don't know how to find the percent of discount to the nearest percent
Find the percent of discount to the nearest percent.
skateboard: regular price, $24
sale price, $15.50
help. PLEASE.
Answer:8.5
Step-by-step explanation:
Answer:
step one
find the difference between marked price and the selling price, which is 24-15.50=8.5
step two apply the formula which is, difference divided by marked or original price and then multiple by 100
eg (8.5÷24) × 100= 35.4
so now round off to the nearest percent that's 35%
convert 3 4/5 into a improper fraction with steps please
Answer:
Step-by-step explanation:
((3×5)+4)/5=
19/5
The improper fraction is 19/5.
We have to convert [tex]3 \dfrac{4}{5}[/tex] it into an improper fraction.
To convert into an improper fraction calculation must be done in a single unit following all the steps given below.
Step1; Write the fraction into simple fractions,[tex]= \dfrac{3 \times 5 + 4}{5}[/tex]
Step2; Solve the following equation.[tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]
Hence, The improper fraction is 19/5.
To know more about Fractions click the link given below.
https://brainly.com/question/21449807
please solve will give brainiest
Step-by-step explanation:
BODMAS
155.5-5.5*20.7
155.5-113.85
=41.65
Answer:
41.65
Step-by-step explanation:
155.5-(5.5*20.7) order of operation
155.5-113.85=
41.65
the bee hummingbird is the smallest bird. it can weigh as little as 2 grams. the largest bird, the ostrich, can weigh as much as 150 kilograms. the hummingbird's weight is what percent of the ostrich weight?
Answer:
1.3%
Step-by-step explanation:
i dont have an explanation
Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6
Answer:
v ≤ − 1 or Always true
Step-by-step explanation:
I hope this helps!
Answer:
v ≤ − 1
Step-by-step explanation:
(WORTH 20 POINTS) Please help I don't know how to do this
In your own words, what do the terms sales tax and discount mean? Is a 5 percent sales tax a percent of increase or decrease? What about a 15 percent discount?
lol help-
Answer:
Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps
Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)
Sales Tax = Sales Tax rate * Sale Price.
Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?
Divide the number you wish to add 5% to by 100.
Multiply this new number by 5.
Add the product of the multiplication to your original number.
Enjoy working at 105%!
What is 0.617 in fraction form
Answer:
617/1000
Step-by-step explanation:
61.7% as a percent in case u need it :)
Naomi can make 20 tacos in 10 minutes. How many tacos can she make in 1 minute?
Answer:
2 tacos
Step-by-step explanation:
10 × 2 = 20
1 × 2 = 2
will mark brainliest, what are the missing numbers?
Answer:
117
Step-by-step explanation:
Got it from calucaltor and did it to make sure
Answer:
117
Step-by-step explanation:
Geometry...Please help as soon as possible please and Thank you so much!
Answer:
Step-by-step explanation:
Statement1. ∠KJL ≅∠LMK (A)
Reason1. Given
Statement2. ∠JKL≅∠MLK (A)
Reason2. Given
Statment3. KL≅KL (S)
Reason3. Reflexive propriety
Statemnt 4. ΔJKL≡ΔLMK
Reason 4. AngleAngleSide congruency theorem
What is the length of AC?
The measure of angle DCF is ... degrees?
Answer: Yes, The measure of DCF is degrees.
4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED
Answer:
40.17
Step-by-step explanation:
4 ten: 4 × 10 = 40
17 hundredth: 17 × 0.01 = 0.17
4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17
I’m please help asap due soon
An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)
Answer:
The graph will change by simply having an increased slope of 16 instead of 15.
Step-by-step explanation:
For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15. Let x represent the number of books that we have purchased. Then, we can write the following function to represent the cost of this club.
f(x) = 15x + 20
Note, if x = 0, meaning we have no books, then
f(0) = 15(0) + 20
f(0) = 0 + 20
f(0) = 20
Which is the cost of our joining fee. If x = 1, meaning we have 1 book, then
f(1) = 15(1) + 20
f(1) = 15 + 20
f(1) = 35
Which is the cost of our joining fee and 1 book, which matches our graphed function.
Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00"). Then we can modify the slope of our function to reflect this change giving us the new function:
g(x) = 16x + 20
In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.
So the graph will change by simply having an increased slope of 16 instead of 15.
Cheers.
Answer:
The new function will have a steeper slope, so...
Step-by-step explanation:
Le: t x ----> the number of audio books purchased
y ---->the cost of belonging to the club in dollars
case 1 (Originally) :
y = 15x + 20
case 2 ( the cost per audio book goes up by $1.00) :
y= (15+1)x+ 20
y = 16x + 20
The slope of the new function is greater than the slope of the original function
The new function will have a steeper slope:
16 $/ audio book > 15 $/audio book
Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β
Answer:
i have
Step-by-step explanation:
i dont even know good luck
A line passes through the points (1, -6) and (4,3). What is the y-intercept of this line?
○ -9
○ -3
○ 3
○ 9
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
Ø (X Y)
X Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
WHAT EVEN IS THIS LOL
Answer:
the first one
Step-by-step explanation:
in the first one it says there are no common numbers between x and y which is false.
in the second one its the union of x and y which means that you must list all numbers in x and y without repetition
the third one states that 15,33,1025 are the only numbers that are common between x and y.
so as a breif the first one is wrong
Answer:
first choice
Step-by-step explanation:
Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms where necessary.
Answer:-3/5
Step-by-step explanation:
Rise over run
help find this please
Answer:
B
Step-by-step explanation:
Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
Given:
Lamar drinks water with,
Breakfast = 8 ounces
Vitamins = 6 ounces
Lunch = 16 ounces
Dinner = 16 ounces
Bottle = 32 ounces
To find:
The a numerical expression for the amount of water in ounces that he drinks in a week.
Solution:
One day consumption of water by Lamar is
[tex]8+6+16+16+32=78[/tex]
We know that,
1 week = 7 days
One day consumption of water = 78 ounces
1 week (7 days) consumption of water = 7× One day consumption of water
= 7×(8+6+16+16+32) ounces
= 7×78 ounces
= 546 ounces
Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.
Solve the equation for the indicated variable.
Answer:
Option A
Step-by-step explanation:
[tex]D=3ef^2\\[/tex]
we need to make e the subject of the formula so here goes,
On the right side 3 is being multiplied by ef^2 so when it moves to the left side it will divide
[tex]\frac{D}{3}=ef^2[/tex]
now f^2 is also being multiplied by e on the right side so when it moves to the left side it will divide
[tex]\frac{D}{3f^2}=e\\\\[/tex]
I need help ASAP x-3/8=3/20
Answer:
Step-by-step explanation:
6/8 can be simplified to 3/4. Therefore the answer is C. 20 X 3/4
Answer:
[tex]x=0.525[/tex] or [tex]x=\frac{21}{40}[/tex]
Step-by-step explanation:
How do I find the measurement indicated in each parallelogram.
Answer:
17) 23
18) 12
Step-by-step explanation:
17
x+15 = 7+2x
x-2x = 7-15
-x= -8
x=8
WX = x+15
= 8+15
= 23
18
2x = 3x-6
2x -3x = -6
-x = -6
x = 6
EF = 3x-6
= 3(6) -6
= 18 -6
= 12