Answer:
B. Of the students who pack lunch, the probability a student is interested in gluten free food is greater than the possibility a student isn’t
Step-by-step explanation:
Help me with this question please
Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient?
x squared + 4 x + 3
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
x cubed + 4 x squared + 3 x
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Answer: A
Step-by-step explanation:
The quotient is x² + 4x +3. Then the correct option is A.
What is the quotient?A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.
The quotient is calculated as:-
x - 5 ) x³ - x² - 17x -15 ( x² + 4x + 3
-x³ + 5x²
_________________
4x² - 17x - 15
-4x² + 20x
_________________
3x -15
-3x + 15
_________________
0
Hence, the quotient is x² + 4x +3.
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Use the figure to solve the inequality
Answer:
c hope this help
Step-by-step explanation:
An item is priced at $13.14. If the sales tax is 7%, what does the item cost including sales tax?
A.
$14.06
B.
$0.92
C.
$27.20
D.
$22.34
Answer:
A - $14.06
Step-by-step explanation:
1) Divide :
7 / 100 = 0.07
2) Multiply :
0.07 * 13.14 = $0.9198
3) Add :
0.9198 + 13.14 = $14.0598
4) Round to the nearest decimal :
So if you round you would get $14.06
Answer:
Option A
Step-by-step explanation:
Given the following question:
7% of $13.14
To find the answer we simply use the formula to calculate percentage.
[tex]\frac{t\times i}{100}[/tex]
[tex]\frac{7\times13.14}{100} =91.98\div100=0.9198[/tex]
[tex]0.9198[/tex]
Round to the nearest cent:
[tex]0.9198[/tex]
[tex]9>5[/tex]
[tex]0.92[/tex]
Add the initial cost and the sales tax:
[tex]13.14+0.92=14.06[/tex]
[tex]14.06[/tex]
The items after a 7% sales tax costs "$14.06 dollars" or option A.
Hope this helps.
Help me please please please
Answer:
24
Step-by-step explanation:
First find the volume of box A (12x2x2)
A=48
Next since box B is half the volume of box A divide 48 by 2
B=24
:)
You want to build a skateboard ramp that is 12 feet long and reaches a
height of 3 feet. What is the angle of elevation of the ramp? Round your
answer to the nearest tenth.
Answer:
14.0362 degrees (round to 14.0 degrees)
Step-by-step explanation:
1. Assume that the math can be deduced by the sides of a triangle due to the "sightline" nature of the problem. This is a classic trig problem you will see.
2. The base of the triangle would be 12 feet and one of the legs of the triangle will be 3 feet.
3. Arctangent will provide the angle of elevation. The equation can be written as arctan(h/b), in this case h = height and b = base.
4. The calculation will be arctan(3/12) which translates to 14 degrees which is, fortunately, the angle of elevation.
I recommend trying this method out with another example such as the angle of elevation between you and the next plane you see in the sky. For example, the height difference between you and the plane is 7 miles and the plane is x miles away. Again we can create a simple triangle to discover many interesting details.
What is 1/6 ÷ 6 =
SHOW YOUR WORK
Answer:
1/36
Step-by-step explanation:
6 can be put over 1.
Our equation:
[tex]\frac{1}{6} \div\frac{6}{1}[/tex]
Find the reciprocal (opposite) of 6/1, then change to sign to multiplication:
[tex]\frac{1}{6} \times\frac{1}{6} =?[/tex]
Solve:
[tex]\frac{1}{6} \times\frac{1}{6} =\frac{1}{36}[/tex]
Your answer is 1/36.
What fractional part of one semicircle does the labeled angle represent? Express your answer as a fraction in simplest terms. Then, express the labeled angle in radian measure.
Answer:
5/18 of a semicircle
5π/18 radians
Step-by-step explanation:
50/180 = 5/18 of a semicircle
5π/18 radians
The area of the triangle is
square centimeters.
Answer:
35cm²
Step-by-step explanation:
(7 x 10) ÷ 2 = 35
Area equation: (b x h) ÷ 2 = a
Create an equation to solve the following word problem:
An electrician has placed two electric outlet boxes on each wall in a new home plus 5 additional electric outlet boxes in the garage. She installed 37 electric outlet boxes in total for the entire home (including the garage). On how many walls did she installed electric outlet boxes?
Answer:
2+5+30/2=18.5
or,
37/2=18.5
solve for x please!!!!
Answer:
13.86
Step-by-step explanation:
Note m∠ADB = m∠ABC, and m∠A = m∠A, so
ΔABD ~ ΔABC
AD : x = x : AC
AD : x = x : (AD + DC)
12 : x = x : 16
x^2 = 12 * 16 = 192
[tex]x=\sqrt{192} = 13.86[/tex]
A boat costs $92,000.00 and depreciates in value by 15% per year. How much will the boat be worth after 10 years?
Answer:
$18,112.45 (nearest cent)
Step-by-step explanation:
Let y = value of the boat
Let x = the number of years
If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)
85% = 85/100 = 0.85
Therefore, the equation is: [tex]y = 92000 \times 0.85^x[/tex]
So, when x = 10:
[tex]\implies y = 92000 \times 0.85^{10}=18112.45[/tex]
Jake buys a car for $1500 and sells it for $1800. What is Jake’s percentage profit?
step by step explanation:
Jake brought a car = 1500rs
Jake sell the car = 1800
profit = sp-cp
so profit = 1800-1500 = 300
profit percent = gain/cp×100
profit percent = 300/1500×100
profit percent = 20% (double zero are cancel and 300 divided by 15)
Josef works in a factory and is paid £352 a week. He works 40 hours a week. What is his hourly rate?
GIVING BRAINIEST IF CORRECT!!!!
[tex] \sqrt{45} + \sqrt{18} [/tex]
Let us write the expressions with their factors.[tex] = \sqrt{3 \times 3 \times 5} + \sqrt{2 \times 3 \times 3} \\ = \sqrt{ {3}^{2} \times 5 } + \sqrt{ {3}^{2} \times 2 } [/tex]
Here, square root and the square of [tex] {3}^{2} [/tex] will get cancelled out.[tex] = 3 \sqrt{5} + 3 \sqrt{2} [/tex]
Now, take 3 as common.[tex] = 3( \sqrt{5} + \sqrt{2} )[/tex]
Answer:
[tex]3( \sqrt{5} + \sqrt{2} )[/tex]
Hope you could understand.
If you have any query, feel free to ask.
Is the graph a linear function, nonlinear function, or relation?
Answer:
I think its a non linear graph
The price of a car has been reduced from $13,500 to $10,125. What is the percentage decrease of the price of the car?
A.
75%
B.
33.75%
C.
25%
D.
2.5%
Answer:
C. 25%
Step-by-step explanation:
.25x13,500=3,375
13,500-3,375=10,125
Hope this helps. :)
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $5. On Saturday, Rob earned $56 babysitting. How much money did he save?
Answer:
ok so from looking at this if he earns 14 dollars he saves 5 so he saves
5/14 so lets just multiply this by the 56
56*5/14=20
so he saves 20
20
Hope This Helps!!!
What is the highest common factor of 40 and 25?
Answer:
5 is the highest common factor of 40 and 25
Helped by QueenTLoveHave an nice day
Divide the following
Answer:
69/61+-34/61i
Step-by-step explanation:
i think this is correct, hope this helped!
Warren is going to send some flowers to his wife. Weston Florist charges $2 per rose, plus $40 for the vase. Harper's Flowers, in contrast, charges $3 per rose and $30 for the vase. If Warren orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? Write a system of equations, graph them, and type the solution.
Step-by-step explanation:
first you have to find the lcm of 42 and 33
=462
then you're going to take the lcm and subtract the price of the vase from the lcm
=>462-40
=422
then now you're going to take the answer and divide it by the cost of each rose
=>422 ÷ $2
=211 roses at Weston Florist
then you're going to do the same for Harper's flowers
=>462-30
=432
=>432÷3
=144 roses at Harper's Flowers
a) What is the equation of line A?
B
b) What is the equation of line B?
y
10
9
8
7
6
5
4
3
2
1
А
O' 1 2 3 4 5 6 7 8 9 10
gg
Step-by-step explanation:
HELP PLEASE!! a class must have fewer than 18 students due to the number of desks that can be placed in the classroom. write an inequality that represents this situation. use the variable n to represent the number of students
Answer:
n ≤ 18
Step-by-step explanation:
The students can be 18 but they can't be greater than 18 so the inequality must be n ≤ 18.
Solution (Part-A)
Note that:
Given clue: A class must have fewer than 18 studentsLet's reread the clue carefully.
{A class} must have {fewer} than {18 students}
↥ ↥ ↥
n < 18
The inequality formed: n < 18
This means that the solution of the inequality can be anything except 18 or above 18.
Solution (Part-B)
Note that:
Given clue: The class must have at least 15 studentsLet's reread the clue carefully.
{The class} must have {at least} {15 students}
n ≥ 15
The inequality formed: n ≥ 15
This means that the solution of the inequality can be 15 or less than 15.
Solution (Part-C)
The value of n that can be a solution of both inequalities can be 15, 16, and 17.
Hoped this helped!
How do i solve for number 3
Answer:
Part 2. Evaluate: C(-1).
Step-by-step explanation:
How do i solve for number 3.
Colin got 16 out of 80 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answer:4/5
Step-by-step explanation:
=80 out of 80 - 16 out of 80
=64 out of 80
Answer:
4/5
Step-by-step explanation:
substract the number of questions he got correctly from the total number of the questions to yield 80-16=64
then set the fraction as number of incorrect questions as the numerator and the total number of questions as the denominator
64/60=4/5
Tommy has 5 more toy cars than billy does tommy has 12 toys cars how many cars does billy have
Answer:
Billy has 7 toy cars.
Step-by-step explanation:
If Tommy has 12 toy cars, and Billy has 5 less cars than Tommy, then Billy has 7 toy cars.
12 - 5 = 7
mr dlamini transport people between butterworth and east london using a bus which has a capacity of 100 people. the transport charge starts with a minimum charge of r8 and end of dig king muscle contr thereafter it was increased by r2 for each kilometre. peces eces and urine fo ine (ur. where small inte on a particular day the bus was full with passengers from butterworth. in each and every kilometre there was a passenger getting off while no new passenger entered in the bus. mr dlamini was calculating total money in his hand after each passenger was getting out. the total amount he has after each stop can be written as a series as follows: sn=8+10+12+14+...
From the computation regarding the series, it can be deduced that the sum of the first two terms will be 18.
How to calculate the seriesFrom the information given, it was stated that the transport charge starts with a minimum charge of R8, and thereafter it was increased by R2 for each kilometer.
The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:
= 8 + 10
= 18
Also, expressing T2 in terms of S, and S2 will be T2 = S + S2.
Learn more about arithmetic series on:
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A school bus can hold 39 students. A school district has 24 buses. Use compatible numbers to estimate about how many students the buses can transport.
You can multiply
39 • 24 and it gives you = 936
8 1/2 = 7 ?/2
Need help asap:)
Problem 3: Solve the differential equation
[tex]y' + 2y = 3[/tex]
Answer:
[tex]y=Ce^{2x}+\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]y'+2y=3\\\\\frac{dy}{dx}+2y=3\\ \\\frac{dy}{dx}=3-2y\\ \\dy=(3-2y)dx\\\\\frac{1}{3-2y}dy=dx\\ \\\int\limits {\frac{1}{3-2y}dy=\int dx}\\\\\frac{1}{2}ln(|3-2y|)=x+C\\\\ln(|3-2y|)=2x+C\\\\3-2y=e^{2x+C}\\\\3-2y=Ce^{2x}\\\\-2y=Ce^{2x}-3\\\\y=-\frac{Ce^{2x}}{2}+\frac{3}{2}\\ \\y=Ce^{2x}+\frac{3}{2}[/tex]