Answer:
12
Step-by-step explanation:
7. Frank wants to paint his room in the school colors of maroon and white. The floor and
ceiling will be white, and all the walls will be maroon. The door will also be white. If one
gallon of paint covers 400 sq ft, how many gallons of each color will he need?
A. 1 gallon white, 1 gallon maroon
B. 1gallon white, 2 gallons maroon
C. 2 gallons white, 2 gallons maroon
D. 2 gallons white, 3 gallons maroon
10 ft
3 ft
7 ftlo
12 ft
12 ft
Frank would need two gallons of maroon painting and one gallon of white painting to paint all his room.
How much white painting is required?Area of the ceiling:
12 feet x 12 feet = 144 squared feetAssuming the floor has the same area, the total area for the floor and ceiling is 288 square feet.
Area of the door:
3 feet x 7 feet = 21 feetTotal area in white 144 feet + 21 feet = 165 square feet
Total of gallons
1 gallon equals 400 square feet, which means only one gallon of white painting is required.
How much maroon painting is required?Area of one wall:
12 feet x 10 feet = 120 feet120 feet x 4 walls = 480 square feet480 square feet - 21 feet (door) = 459 square feetConsidering 1 gallon equals 400 square feet, a total of 2 gallons would be required.
Note: This question is incomplete because the image of the room is missing; below I attach the missing section.
Learn more about area in: https://brainly.com/question/16151549
What is the slope-intercept equation for this line?
y = [?]x +[?]
Answer:
y = -3x + 1
Step-by-step explanation:
as we can see the y intercept is 1 because on the y- axis (0,1)
for slope it is 3 because rise over run. We rise 3 and run 1 = 3/1 = 3
the slope is negative because of the line
Hope this helps!!
Answer:
y=-3x+1
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Help help help ASAP
Answer:
-8
Step-by-step explanation:
x+2=2(x-1)
_
3
3x+6=2x-2
3x-2x=-2-6
x=-8
A rectangle has a length of (x + 4) feet and a width of (x + 7) feet. The expression
2(x+)+2(x + 7) represents the perimeter of the rectangle.
Which expression also represents the perimeter of the rectangle, in feet?
A (x + 4) + (x + 4) + (x + 7) + (x + 7) W
B (x + 4)(x + 4)(x + 7)(x + 7)
C 4x + 11
D 22x
Answer:
A
Step-by-step explanation:
No need. It’s simple.
B can’t be it because it uses multiplication.
C can’t be it because it makes no sense.
D also makes no sense.
5
0 = - in
=
in quadrant II
Given cos =
Find sin
3
Answer:
sinΘ = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract cos²x from both sides )
sin²x = 1 - cos²x ( take square root of both sides )
sinx = ± [tex]\sqrt{1-cos^2x}[/tex]
given
cosΘ = - [tex]\frac{\sqrt{5} }{3}[/tex] , then
sinΘ = ± [tex]\sqrt{1-(-\frac{\sqrt{5} }{3})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{5}{9} }[/tex]
= ± [tex]\sqrt{\frac{4}{9} }[/tex]
= ± [tex]\frac{2}{3}[/tex]
since Θ is in quadrant II where sinΘ > 0 , then
sinΘ = [tex]\frac{2}{3}[/tex]
How many distinct 3 digit code can i create such that this code is divisible by 4.
For example these codes are rejected since they have repeating numbers/less than 3 digits:
024/100/112/996/444
The other answer is just wrong.
There are 9•9•8 = 648 distinct 3-digit codes. The first digit can be any numeral from 1-9, the next digit can be any from 0-9 minus the one used in the first position, and the last digit can be any from 0-9 minus both the numerals used in the first two positions.
But that doesn't even account for the divisibility constraint.
Let the code be [tex]abc[/tex]. We can expand this as
[tex]100a + 10b + c[/tex]
In order for this to be divisible by 4, we observe that
[tex]100a + 8b + 2b + c = 4 (25a + 2b) + (2b+c)[/tex]
so we only need [tex]2b+c[/tex] to be divisible by 4.
The last digit must be even, so there are only 5 choices for the last digit. I list the possibilities and outcomes below. For some integer [tex]k[/tex], we need
[tex]c=0 \implies 2b=4k \implies b=2k[/tex]
[tex]c=2 \implies 2b+2=4k \implies b = 2k-1[/tex]
[tex]c=4 \implies 2b+4 = 4k \implies b = 2(k-1)[/tex]
[tex]c=6 \implies 2b+6 = 4k \implies b = 2k-3[/tex]
[tex]c=8 \implies 2b+8=4k \implies b = 2(k-2)[/tex]
Ignoring [tex]a[/tex] for the moment, in the cases of [tex]c\in\{0,4,8\}[/tex], [tex]b[/tex] is also even. This leaves 3 choices for [tex]c[/tex] and 2 choices for [tex]b[/tex].
Likewise, in the cases of [tex]c\in\{2,6\}[/tex], [tex]b[/tex] is odd. This leaves 2 choices for [tex]c[/tex] and 5 choices for [tex]b[/tex].
Now taking into account the choice for [tex]a[/tex], we have the following decision tree.
• If [tex]a\in\{2,6\}[/tex] and [tex]c\in\{0,4,8\}[/tex], then [tex]b\in\{0,2,4,6,8\}\setminus\{a,c\}[/tex] - a total of 2•3•3 = 18 codes.
• If [tex]a\in\{4,8\}[/tex] and [tex]c\in\{0,4,8\}\setminus\{a\}[/tex], then [tex]b\in\{0,2,4,6,8\}\setminus\{a,c\}[/tex] - a total of 2•2•3 = 12 codes.
• If [tex]a\in\{2,6\}[/tex] and [tex]c\in\{2,6\}\setminus\{a\}[/tex], then [tex]b\in\{1,3,5,7,9\}\setminus\{a,c\}[/tex] - a total of 2•1•5 = 10 codes.
• If [tex]a\in\{4,8\}[/tex] and [tex]c \in\{2,6\}[/tex], then [tex]b\in\{1,3,5,7,9\}[/tex] - a total of 2•2•5 = 20 codes.
• If [tex]a\in\{1,3,5,7,9\}[/tex] and [tex]c\in\{0,4,8\}[/tex], then [tex]b\in\{0,2,4,6,8\}\setminus\{c\}[/tex] - a total of 5•3•4 = 60 codes.
• If [tex]a\in\{1,3,5,7,9\}[/tex] and [tex]c\in\{2,6\}[/tex], then [tex]b\in\{1,3,5,7,9\}\setminus\{a\}[/tex] - a total of 5•2•4 = 40 codes.
Hence there are a total of 18 + 12 + 10 + 20 + 60 + 40 = 160 codes.
I don’t really know how to do this , can someone help?
Answer:
A 67 inches is the correct answer
[tex]\text{Given that,}\\\\\text{Area of the rectangle,}~ A = 344 ~ in^2\\\\\text{Width of the rectangle,}~w = 16 ~ in\\\\\text{Length of the rectangle,}~ l=?\\\\~~~~~~A = l \times w \\\\\implies l= \dfrac{A}w =\dfrac{344}{16}=21.5 ~in\\\\\text{Perimeter of the rectangle} = 2(l+w) = 2(21.5+16)=75~ in[/tex]
Which is the net of this solid?
O
Which is the net of this solid?
Answer:
I think the A is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
PLEASE please please please please please please I need it Badly
Help help help! Lateral area means total surface area I believe!
Thanks!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:lateral \: surface \: area = \pi rl[/tex]
[tex]\qquad \sf \dashrightarrow \:la = \pi12 \times 15[/tex]
[tex]\qquad \sf \dashrightarrow \:la =180 \pi[/tex]
Therefore, the lateral surface area of cone = 180 pi in²
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
What is the slope-intercept equation for this line?
y = [?]x + ( )
Answer:
y=-x-3
Step-by-step explanation:
label the angle that is 57° in this 2-dimensional figure.
The measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57 (the angle formed at X)
Line and anglesFrom the given diagram, we have the following:
The two angles on the straight line are 123 degrees and 57 degrees.
<F + 57 = 180
<F = 180 - 57
<F = 123 degrees
Hence the measure of the angle that is 57° in this 2-dimensional figure is the angle vertically opposite to the angle 57 (the angle formed at X)
Learn more on lines and angles here: https://brainly.com/question/25770607
In a math competition, every question that is answered correctly gets a score of 4. Wrong gets a score of -2. and not answered gets a score of -1. Ali got a score of 106 with 4 questions answered incorrectly and 6 questions not being answered. Many questions were answered correctly by........
please explain it
Answer:
Step-by-step explanation:
First we need to find the score of the incorrect answers and the questions that were not answered.
Score for the incorrect answers = 4*(-2) = -8
Score for the questions not answered = 6*(-1) = -6
Score for the questions answered correctly = 106 - [ (-8) + (-6) ]
= 106 -[-14]
= 106 + 14
= 120
Number of questions answered correctly = total score for questions that were answered correctly ÷ score of 1 correct answer
= 120 ÷ 4
= 30
30 questions were answered correctly.
SOLVE THE INEQUALITY FOR X - 27 < 12
Answer:
x < 39
Step-by-step explanation:
x - 27 < 12
Add 27 to both sides.
x - 27 + 27 < 12 + 27
x < 39
[tex]\qquad\qquad\huge\underline{{\sf Answer☂}}[/tex]
Let's solve the inequality ~
[tex]\qquad \sf \dashrightarrow \: x - 27 < 12[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 12 + 27[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 39[/tex]
Find the slope of the line that passes through the two given points:
(-1, 4) and (5, 3)
A line starting in the third quadrant, crossed the x axis twice, and then ending in the first quadrant
Answer:
[tex] \frac{ - 1}{6} [/tex]
Step-by-step explanation:
[tex]slope \: = \frac{y2 - y2}{x2 - x1} \\ slope = \frac{3 - 4}{5 - - 1} \\ sope = \frac{ - 1}{ \: \: \: 6} [/tex]
Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $4. If Alyssa rolls a 4 or 5, Gabriel gives Alyssa $. However, if Alyssa rolls a 6, she gives Gabriel $23.
a) Determine Alyssa's expectation.
b) Determine Gabriel's expectation.
Sasha is making custom designs using these small trapezoidal prisms. She wants To cover each of the eight prisms in her current design and strive cloth on all sizes she has 3500 cm² of striped cloth does Sasha have enough cloth to cover all prisons in her current design choose from the drop-down menu to correctly complete the statement
Answer:
the answer is 3040 and does
7.4 Practice
A medicine is effective on 70% of patients.
The table shows 30 randomly generated
numbers from to 999. Use the table to
estimate the probability of the event.
1. The modicine is effective on at least two
of the next three patients.
028837 618 205 984
724 301249 946 925
042 | 113 | 696 985 632
312085 | 997 198 | 398
117 240 853:373 597
606 077 016 012
695
2. The medicine is effective on none
of the next three patients.
Design and use a simulation to find the experimental probability.
3. A bowler hats the headpin 90% of the time that all ten pins are standing.
What is the experimental probability that the bowler hits the headpin
exactly four of the next five times that all ten pins are standing?
The simulation of the medicine and the bowler hat are illustrations of probability
The probability that the medicine is effective on at least two is 0.767The probability that the medicine is effective on none is 0The probability that the bowler hits a headpin 4 out of 5 times is 0.3281The probability that the medicine is effective on at least twoFrom the question,
Numbers 1 to 7 represents the medicine being effective0, 8 and 9 represents the medicine not being effectiveFrom the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two
So, the probability is:
p = 23/30
p = 0.767
Hence, the probability that the medicine is effective on at least two is 0.767
The probability that the medicine is effective on noneFrom the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none
So, the probability is:
p = 0/30
p = 0
Hence, the probability that the medicine is effective on none is 0
The probability a bowler hits a headpinThe probability of hitting a headpin is:
p = 90%
The probability a bowler hits a headpin 4 out of 5 times is:
P(x) = nCx * p^x * (1 - p)^(n - x)
So, we have:
P(4) = 5C4 * (90%)^4 * (1 - 90%)^1
P(4) = 0.3281
Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281
Read more about probabilities at:
https://brainly.com/question/25870256
What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Hello!
In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:
29, 22, 23, 31, 29, 29, 22, 23
The smallest number is 22, then 23, then 29, then 31:
22, 22, 23, 23, 29, 29, 29, 31
How many numbers are in this set? 8. An even number!
So we find the mean of the 2 numbers in the middle (23 & 29)
We add these numbers and then divide by 2 (because we have 2 numbers)
[tex]\bf{\displaystyle\frac{23+29}{2}}[/tex]
[tex]\bf{\displaystyle\frac{52}{2}}[/tex]
Which is equal to
[tex]\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
In a market research survey of 2518 motorists, 252 said that they made an obscene gesture in the previous month.
If one of the surveyed motorists is randomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month?
Answer:
Probability is 89.99%
Step-by-step explanation:
divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%
What is the slope of the line given by the equation below?
y-9 = 15(x - 5)
O A. -5
O B. 9
O C. -9
O D. 15
Answer:
D
Step-by-step explanation:
this would simplify, in slope-intercept form, as y= 15x - 66
Giving Brainliest if answered correctly
What is the slope of the line that passes
through (7,3) and (-2,4)?
O 7
02
- 9
0-
OS
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's calculate the slope ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ - 1}{9} [/tex]
That's the required slope, I hope it helps~
Based on the following circle, solve for the value of a.
PLS HELP ME PLSS AND SHOW HOW YOU GOT YOUR ANSWER
Answer:
Step-by-step explanation:
1. Suppose you pay back $680 on a $650 loan you had for 75 days. What was your simple annual interest rate?
well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year. We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r[/tex]
A candy maker produces 465 pounds of chocolate bites. It is placed in equal amounts into 145 empty bags. Each bag can hold up to 3 pounds. How many pounds of chocolate bites are left over after the bags are filled?
Answer:
30 pounds are left over after the bag filled
Step-by-step explanation:
145×3
= 435
now,
465-435
= 30
A cube has a side length of 5 centimeters. What is its surface area of the cube?
Answer:
A = 150cm²
Step-by-step explanation:
A=6a2=6·52=150cm²
kit is going to build a 3 feet walk around a pool that measures 20 feet by 15 feet find the area of the walk in square feet
Answer:
246 sqft
Step-by-step explanation:
To find the area of the outer rectangle, add 2(3) to 15 and 20. 15 turns into 21 and 20 turns to 26. Next, do 21 x 26 to find the whole area (which is 546). The area of the inner rectangle is 20 x 15 (which is 300). Finally, do 546 - 300 which is 246.
Answer:
I think it maybe 134.2
because when u like try to to multiply and sy
PLEASE HELP ME
( I WILL MARK BRAINLIEST )