Evan is making a table that will be created of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint he needs to know the area of the table top He can only spend 10 on paint which is enough to cover 150ft of surfaces area. What is the max length of the base of the the rectangle he can build
Answers
Answer:
23 ft
Step-by-step explanation:
The computation of the maximum length of the base of the triangle is as follows:
Area of triangle is = 4 × 6 ÷ 2
= 12 ft²
Now the maximum area of the rectangle is
= 150 - 12
= 138 ft²
L = ?
W = 6 ft
Area of rectangle is = L × W
L × 6 = 138
L = 138 ÷ 6
= 23 ft
Related Questions
The area of a rectangular wall of a barn is 144 square feet. Its length is 10 feet longer than the width. Find the length and width of the wall of the barn.
The width is __feet.
Answers
Answer:
8 feet
Step-by-step explanation:
Let l and w be length and width, respectively. Then:
lw=144 and
l=w+10
So:
w(w+10)=144
w²+10w-144=0
(w+18)(w-8)=0
w=8 as the width ................
The width of the rectangular wall is 8 feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Let l and w be length and width, respectively. Then:
l x w=144
l = w + 10
The area will be given as;-
w(w+10)=144
w²+10w-144=0
(w+18)(w-8)=0
w = 8 and -18 ignore -18.
Therefore the width of the rectangular wall is 8 feet.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ2
The odds in favor of Frank McKinnis winning a hot dog eating contest are 3:8.
a. Determine the probability that Frank will win the contest.
b. Determine the probability that Frank will not win the contest.
a. The probability that Frank will win the contest is
b. The probability that Frank will not win the contest is
Answers
Answer:
a. 37.5% chance of winning
b. 5/8 or 62.5% chance of losing
Step-by-step explanation:
a. 37.5% chance of winning
b. 5/8 or 62.5% chance of losing
PLese help now please
Answers
Answer:
1, 2, and 4
Step-by-step explanation:
A store pays $675.58 for a rowboat. The store marks up the price by 10%. What is the amount of the mark-up? Round your answer to the nearest cent: $
Answers
Answer:
743.1
Step-by-step explanation:
675.58 • 1.10 = 743.138
743.138 rounded to the nearest tenth is 743.1.
what is the solution to 3/4a>-16
Answers
Answer:
Here is the answer also just for the future look up variable calculator :) hope it helps!
Step-by-step explanation:
calculate the slope of the line
Answers
¿Cuántas placas diferentes de autos se pueden formar con 3 letras, seguidas de 4 números del 0 al 9? Considere que el alfabeto letras. cuenta con 27
Answers
Answer: Se pueden hacer 196,830,000 placas distintas.
Step-by-step explanation:
Cada placa va a tener 3 letras y 4 números.
Lo primero que tenemos que hacer es contar el numero de opciones que tenemos para cada selección, donde las selecciones van a ser.
Primera letra, segunda letra, tercera letra, primer numero, etcétera.
Entonces.
Para la primera letra tenemos 27 opciones.
Para la segunda letra también tenemos 27 opciones.
Para la tercera letra también tenemos 27 opciones.
Para el primer numero tenemos 10 opciones (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
para el segundo numero también hay 10 opciones.
Para el tercer numero también hay 10 opciones.
Para el cuarto numero también hay 10 opciones.
El numero total de posibles combinaciones va a ser igual al producto de todos los números de opciones, en este caso es:
C = 27*27*27*10*10*10*10 = 27^3*10^4 = 196,830,000
Se pueden hacer 196,830,000 placas distintas.
the average rate of change of the function f(x) on the interval -3≤x≤3 is -2.5. If (-3)=14 then which of the following is the value of f(3)?
Answers
The average rate of change of f(x) on -3 ≤ x ≤ 3 is given to be
(f (3) - f (-3)) / (3 - (-3)) = -2.5
If f (-3) = 14, then
(f (3) - 14) / (3 + 3) = -2.5
(f (3) - 14) / 6 = -2.5
f (3) - 14 = -15
f (3) = -1
is 2*4 and 4*4 proportianal?
Answers
Answer:
no, 2/4 and 4/4 is not proportional.
Step-by-step explanation:
answer is not equal
Need answers to three questions in picture will give brainly
Answers
Answer:
3. the answer is A3
Step-by-step explanation:
you do 3x-1 and you get 3
Answer:
3. B
4. J
5. C
Define a variable, write an inequality, and solve: A number decreased by 7 is at least 15.
Answers
Answer:
x is greater than it equal to 22
Step-by-step explanation:
Have a nice day! xoxo Arael :)
3. Last week Hailey sold 40 raffle tickets for a school fund raiser. This week she sold 72 tickets. What is the percent of increase in the number of raffle tickets sold?
Answers
Answer:
40%
Step-by-step explanation:
Divide 72/40 which gives you 1.8 multiply by 100 gives you 180=1.80
72/ 1.80
40%
Which is the coefficient in the expression 7x + 14?
Answers
Answer:
7
Step-by-step explanation:
A coefficient is the number before a variable (x, y, z...etc).
My Practice Time 4
Shiva went to Rajaram Provision Store and bought 2 kg of tuar dal at 383.50 per kg,
3-kg of moong dal at 371.70 per kg, 5 kg of rice at 52.00 per kg, 100 g of mustard at
*85 per kg and 250 g of jeera at 200 per kg. Prepare a bill and find the total cost. Find
out how much he should get back, if he gives a 1000 note to the shopkeeper.
2
17
Answers
Answer:
which class wuestion??
PLZ HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!
Answers
Answer :A.
Step-by-step explanation:
The first one. hope this helps
PLEASE HELP!! AND SHOW WORK OR EXPLAIN PLEASE!! I WILL GIVE BRAINLIEST!!
Answers
Answer:
H) Slope -1/4 and y-intercept -1.5
Step-by-step explanation:
The slope of the line is determined by the formula :
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\[/tex]
We can use any two points on the line lets use the ones that are shown, (-6 , 0) and (2 , -2).
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-2-0}{2-(-6)} \\\\m=\frac{-2}{8}\\\\m=-\frac{1}{4} \\[/tex]
and the y-intercept is shown in the graph where the line crosses the y-axis
In this case the line crosses the y-axis between -1 and -2 which is -1.5
so the value of slope is -1/4 and the value of y-intercept is -1.5 .So third option is our answer.
Which is the correct label of the line?
points C and D lie on line a
(4 points)
Select one:
a. There is a horizontal line with arrows on either end over the letters A C.
b. There is a horizontal line with arrows on either end over the letters CD.
c. D
d. Two vertical lines beside the letter A
Answers
Answer:
b horizontal with arrows and c and d
Answer: CD
Step-by-step explanation: I took the test.
8/10/2022
SOMEONE PLEASE HELP ME!! WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!
Answers
Answer:
12 miles in one hour
Step-by-step explanation:
60 minutes in an hour
60/15= 4
4*3=12
Mr. Heath organizes a six-game tournament where players will
• earn 2.2 points for every game won (W),
• earn 1/4 point for any game ending in a tie (T), and
• lose 3 points for every game lost (L).
Tally a score for an imaginary player.
Make sure the player plays all six games and has at least one win, one loss, and one tie.
Write and solve an equation to find the player’s total score.
Answers
9514 1404 393
Answer:
(W, T, L, S) = (3, 2, 1, 4.1)
Step-by-step explanation:
For some number of wins (W), ties (T), and losses (L), the player's score will be ...
score = 2.2W +0.25T -3L
For 3 wins, 2 ties, and 1 loss, the player's score is ...
2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1
Real World Systems
1. Members of a drama club spend $795 on T-shirts and sweatshirts for a play. They purchase 20 more T-shirts than
sweatshirts. They buy T-shirts for $12 each and sweatshirts for $25 each.
How many T-shirts do the drama club members buy?
A
15 T-shirts
B.
21 T-shirts
с
22 T-shirts
D.
35 T-shirts
Answers
Tristan is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let
P
P represent Tristan's total pay on a day on which he sells
x
x dollars worth of computers. The table below has select values showing the linear relationship between
x
x and
P
.
P. Determine the percentage commission Tristan makes on his daily sales.
Answers
Answer:
[tex]m = 1.5\%[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine his percentage commission
To do this, we need to calculate the slope (m) of the table as follows:
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,P_1) = (7000,165)[/tex]
[tex](x_2,P_2) = (7500,172.5)[/tex]
[tex]m = \frac{P_2 - P_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{172.5 - 165}{7500- 7000}[/tex]
[tex]m = \frac{7.5}{500}[/tex]
[tex]m = 0.015[/tex]
Convert to percentage
[tex]m = 0.015 * 100\%[/tex]
[tex]m = 1.5\%[/tex]
Hence, his percentage commission is 1.5%
An adults heart beats around 2,100 every 30 minutes. A baby’s heart beats about 2,600 times every 20 minutes. How many more beats does a baby’s heart beat in 60 minutes than an adults heart?
Answers
Answer:
3600 beats
7800-4200=3600
95
28pºo
Which expression is equivalent to
? Assume p*0.90
12067
2
015912
7015
3712
o
2012
075
7015912
3
Answers
Answer:
7p¹⁵/ 3q¹²
Step-by-step explanation:
From the question given above,
28p⁹q¯⁵ / 12p¯⁶q⁷
To know which of option is equivalent to the above expression, we shall simplify the expression as shown below:
28p⁹q¯⁵ / 12p¯⁶q⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷
Recall:
Xᵐ ÷ Xⁿ = Xᵐ ¯ ⁿ
Therefore,
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (28/12)p⁹ ¯ ¯⁶q¯⁵ ¯⁷
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p⁹⁺⁶q¯¹²
28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p¹⁵q¯¹²
Recall:
X¯ⁿ = 1/Xⁿ
Therefore,
(7/3) p¹⁵q¯¹² = (7/3) p¹⁵ × 1/q¹²
(7/3) p¹⁵q¯¹² = 7p¹⁵/ 3q¹²
Hence,
28p⁹q¯⁵ / 12p¯⁶q⁷ = 7p¹⁵/ 3q¹²
Answer:
B
Step-by-step explanation:
Solve for A if is 3.14 and R = 3
Answers
Answer:
A = 28.26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Equation: A = πr²
Given: π = 3.14, r = 3
Step 2: Evaluate
Substitute: A = 3.14(3)²Exponents: A = 3.14(9)Multiply: A = 28.26Factor 125 + b^3 completely
Answers
Answer:
( 5 + b ) ( 25 − 5 b + b 2 )
Step-by-step explanation:
( a + b ) ( a ^2 − a b + b ^2 ) where a = 5 and b = b .
Which of the following equations are
true? Select all that apply.
A 7 +(-7) – 14
B +
-4 + 9 - 5
C 3- (-10) = -7
D-2-6-8
Answers
Answer:
A. B. D. NOT C
Step-by-step explanation:
i don't know if you wrote anything wrong but this is correct if you are correct
Hi, can you help me answer this question (−3x + 7) − (4x − 8)
Answers
Answer:
Let's simplify step-by-step.
−3x+7−(4x−8)
Distribute the Negative Sign:
=−3x+7+−1(4x−8)
=−3x+7+−1(4x)+(−1)(−8)
=−3x+7+−4x+8
Combine Like Terms:
=−3x+7+−4x+8
=(−3x+−4x)+(7+8)
=−7x+15
Answer:
=−7x+15
Step-by-step explanation:
Answer:
15+7x
Step-by-step explanation:
(−3x+7)−(4x−8)
To find the opposite of 4x−8, find the opposite of each term.
−3x+7−4x−(−8)
The opposite of −8 is 8.
−3x+7−4x+8
Combine −3x and −4x to get −7x.
−7x+7+8
Add 7 and 8 to get 15.
−7x+15
Fill in the blanks to explain Meera's UDid
Answers
You already have a correct answer written!
The Horseshoe Nebula is about 5 x 10light years away from Earth. One light
year is equal to approximately 5.9 x 1012 miles. What is the approximate distance
in miles, between Earth and the Horseshoe Nebula?
Answers
if 3x+10=4, what is the value of 2+5x? please help
Answers
Answer:
-8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3x + 10 = 4
2 + 5x
Step 2: Solve for x
Subtract 10 on both sides: 3x = -6Divide 3 on both sides: x = -2Step 3: Evaluate
Substitute in x: 2 + 5(-2)Multiply: 2 - 10Subtract: -8