Answer:
8t+5=6t+1
2t+5=1
2t=-4
t=-2
Step-by-step explanation:
-6n-32m+5n
Need help please
Answer:
Add
−
6 n and 5n.− 32m − n
Step-by-step explanation:
need help 6th grade math
CDs cost $5.96 more than DVDs at all bets are off electronics. How much would 6 CDs and 2 DVDs cost if 5 CDs and two DVDs cost $127.73
Need help right now before 12.00
Answer:
23) 7b+14
yea I guess the rest remain the same
1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?
Answer:
The number of ways is 6435
Step-by-step explanation:
Given
[tex]Male = 6[/tex]
[tex]Female = 5[/tex]
[tex]Students = 4[/tex]
Required
Number of ways a group of 8 can be formed
Here, I'll assume each category of people are distinct:
Hence;
[tex]Total = Male + Female + Students[/tex]
[tex]Total = 6 + 5 + 4[/tex]
[tex]Total = 15[/tex]
Number of ways is then calculated as follows:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
Where
[tex]n = 15\ and\ r = 8[/tex]
So, we have:
[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]
[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]
[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]
[tex]^{15}C_8 = 6435[/tex]
Hence, the number of ways is 6435
At 7 a.m., the temperature was 48°F. By noon the temperature was 63°F. By how many degrees did the temperature increase?
Answer: 15 degrees
Step-by-step explanation:
plz click this help me and i am really desspprte and i do not want get in trouble plz my teacher is very strict.
someone said this was wrong and I realized that I was just confused so i fixed it
it's 3:1
Answer:
b
Step-by-step explanation:
A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes?
Answer: $2421.90
Step-by-step explanation:
Since a yard is 3 feet, we can say the foyer is 3 yards by 6 yards (9 feet is 3 yards and 18 feet is 6). The area of a square is x*y, so the area of each floor is 3*6 = 18 square yards. Since there are 5 homes, there are 5 * 18 = 90 total square yards to laminate. That means that the total cost is 90 * 26.91 = $2421.90.
The total cost for the foyer for the 5 homes is $ 2421.9.
Given that,
A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Here,
1 yard = 3 feet
Now
The measure of foyer = 9 feet x 18 feet = 9 /3 yard x 18 / 3 yard.
Area of the foyer = 3 x 6
= 18-yard square
Area of the foyer of 5 homes = 5 * 18
= 90-yard square,
The total cost of a foyer for 5 homes = 90 * 26.91
= $2,421.9
Thus, the total cost for the foyer for the 5 homes is $ 2421.9.
Learn more about arithmetic here:
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Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1/10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked
8 1/2
hours last week, how much money did she donate to the charity?
Answer: $9.86
Step-by-step explanation:
$11.60 ⋅ 8.5 = $98.60
$98.60 / 10 = $9.86
At the city museum, child admission is $5.20 and adult admission is $9.20. On Friday, 157 tickets were sold for a total sales of $1068.40. How many adult tickets were sold that day?
Solve 6 sec^2x-1= 7.
What is the answer to x to the zero power
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}[/tex]
Step-by-step explanation:
The value of the term having the index 0 equals to 1.
So, [tex] \sf{ {x}^{0} }[/tex] = 1
Hope I helped!
Best regards! :D
helpooo pleaseeee and thank youu
K is the midpt. of AB.
Its in the middle of AB so its the midpt.
the absolute value of a number is the distance from 0 to the number on a number line. use absolute value notation to indicate two number that are 3 units away from 0
Answer: It is 3 and negative -3
Step-by-step explanation:3 units away from zero forwards and back are both 3 but one is negative
Answer: 3 and negative -3
hope this helps
Someone help me pliisss
Answer:
The prove of the given identity is shown below:
Step-by-step explanation:
It seems that the question involves the proving of a trigonometric identity.
Therefore, we are going to work independently on each side of the equal sign.
We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]
and now we use the Pythagorean identity to replace the cosine square expression:
[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]
in the difference of square trig functions we had arrived to:
[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]
We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.
The standard unit for length is the ____. yard meter foot milliter please help its due in 6 mins!!!
Answer:
Meter
Step-by-step explanation:
The standard unit of length based on the metric system is a meter (m). According to the length that needs to be measured, we can convert a meter into various units like millimeters (mm), centimeter (cm), and kilometer (km).
Carter is an election officer. On election day, he travels from his home to the polling place, which appears 8 inches away on a map of the county. What is the actual distance between Carter's home and the polling place if the scale of the map is 2 inches = 0.9 miles?
Answer:
3.6 miles
Step-by-step explanation:
since his house is 8 inches away and 2 inches =0.9miles
we just need to multiply. Divide 8 by 2 .
4× 9 = 36 so just add the decimal
0.9× 4= 3.6 miles
Calculate the average speed between 0 s and 20 s
Answer:
2 m/s
Step-by-step explanation:
Notice that the slope of the time period from 0s to 20s is linear. This means we can simply look at the distance traveled over the amount of time. So the distance and time both start at 0. At 20s, the distance is 40m.
So we can say the following to find the slope:
(40m - 0m) / (20s - 0s) == 40m / 20s == 2 m/s
Hence, the average speed between 0s and 20s is 2m/s.
Cheers
If the points (1,4) and (3,12) lie on the line representing a proportional relationship, what is another point that
lies on the line?
Answer:
its (2,8)
Step-by-step explanation:
the point is the multiple of the abscissa 1 and ordinate 4 if we multiply 2 with 1 and 4 we get (2,8) and the ratio is also same
or it can be all the multiples of 1 and 4
thank u
48 books on 6 shelves. How many books on 12 shelves?
Answer:
96 books
Step-by-step explanation:
because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96
A rectangular table is two times as long as it is wide. If the area is 50 ft2, find the length and the width of the table.
Answer:
length = 10ft
breadth = 5ft
Step-by-step explanation:
Given,
Let breadth be x.
According to the question,
length = 2x
Area = 50ft^2
we know that,
Area of rectangle ( A) = l × b
or, x × 2x = 50 ft^2
or, 2x^2 = 50ft^2
or, x^2 = 50ft^2/2
or, x^2 = 25ft^2
or, x = 5 ft
Now,
2x = 2×5ft =10ft
Therefore, length is 10ft and breadth is 5ft.
Which of the following expressions is the inverse of the function y = 2x − 6?
Answer:
[tex] x = \frac{1}{2} y + 3[/tex]
Step-by-step explanation:
[tex]y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}[/tex]
4. At lunch, Samantha bought a sandwich for
$2.75, milk for $0.75 and 2 cookies for $0.50
each. If tax is 8%, how much tax did Samantha
just pay for lunch? (CP)
Work:
Answer: 4.86
Step-by-step explanation: 2.75+.75 = 3.5 1 for the cookies 4.5*0.08 = 0.36
4.5+.36 = 4.86.
327.8 in scientific notation
Answer:
3.278 * 10 ^ 2
Step-by-step explanation:
To change a number to scientific notation you:
Move the decimal point to the left to make the number have 1 number before the decimal point.
From there you multiply by 10 to the power 2 the number of decimal points you moved.
So the answer is 3.278 * 10^2
HOPE IT HELPED
solve the inequality 5f+7[tex]\leq[/tex]22
a f[tex]\geq[/tex]6
b f[tex]\leq[/tex]3
c f[tex]\leq[/tex]10
d f[tex]\geq[/tex]15
Answer:
[tex]f \leqslant 3[/tex]
Step-by-step explanation:
[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]
15 multiplied by what makes 80
Answer:
5.33
Step-by-step explanation:
It is a repetitive decimal.
The width of the rectangle is 0.6 meters less than the length. The perimeter of a rectangle is 60.8 meters. Find the dimensions of the rectangle.
Answer:
14+=+2L+%2B+2%28L-3%29 Simplify and solve for L
14+=+2L+%2B+2L+-+6 Combine like-terms.
14+=+4L-6 Add 6 to both sides.
20+=+4L Divide both sides by 4.
5+=+L The length is 5 meters.
W+=+L-3
W+=+5-3
W+=+2meters.
The width is 2 meters.
P+=+2L%2B2W
P+=+2%285%29%2B2%282%29
P+=+10%2B4
P+=+14meters.
Step-by-step explanation:
What is the subsets of 10
Answer:hi
Step-by-step explanation:
Describe the region enclosed by the circle x^2 +y^2 = 11x in polar coordinates.
Answer:
the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
Step-by-step explanation:
Given that:
[tex]x^2 +y^2 = 11x[/tex]
This implies that :
[tex](x-5.5)^2 + y^2 = 5.5^2[/tex]
center (5.5, 0) and radius = 5.5
The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:
x = rcosθ
y = rsinθ
Thus, [tex]x^2 + y^2 = r^2[/tex]
[tex]x^2 + y^2 = 11x[/tex]
[tex](rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)[/tex]
[tex]r^2 = 11r cos \theta[/tex]
Thus, the angle θ runs between [tex]- \dfrac{\pi}{2}[/tex] to [tex]\dfrac{\pi}{2}[/tex]
Therefore, the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
The required region is,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
Given circle is,
[tex]x^2 +y^2 = 11x[/tex]
Computation:
Solving the given circle,
[tex]x^2-11x+y^2=0\\x^2-2(\frac{11x}{2})+y^2=0[/tex]
Adding [tex]\frac{11}{2}[/tex] both sides we get,
[tex]x^2-2(\frac{11x}{2})+\frac{121}{4}+y^2=\frac{121}{4}\\(x-\frac{11}{2})^2+y^2=(\frac{11}{2})^2[/tex]
It represents a circle having the radius [tex]\frac{11}{2}[/tex] and centred at [tex](\frac{11}{2},0)[/tex]
So, in polar coordinate,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
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4/5 2/3 13/15 7/9. Order fractions least to greatest
Answer:
2/3 7/9 4/5 13/15
Step-by-step explanation: