Answer:
x = 80
Step-by-step explanation:
(6/12)*x-10 = 30 // - 30
(6/12)*x-30-10 = 0
1/2*x-40 = 0 // + 40
1/2*x = 40 // : 1/2
x = 40/1/2
x = 80
Hi there!
x=80
1.Multiply the terms:
[tex]\frac{6}{12}[/tex]·[tex]80=\frac{480}{12}[/tex]
2.Divide the fraction term:
[tex]\frac{480}{12}=40[/tex]
3.Subtract the two terms:
[tex]40-10=30[/tex]
This means, x=80..
Find the remainder when x^100 - x^99 + x^98 − · · · − x + 1 is divided by x + 1.
Answer:
The remainder is 101.
Step-by-step explanation:
We are dividing:
[tex](x^{100}-x^{99}+x^{98}...-x+1)\div(x+1)[/tex]
By the Polynomial Remainder Theorem, if we are dividing a polynomial P(x) by a binomial in the form (x - a), the our remainder will be P(a).
The divisor is (x + 1). Therefore, our a = -1.
Then the remainder will be:
[tex]P(-1)[/tex]
We can rewrite our polynomial as:
[tex]P(x)=-(x^{99}+x^{97}...+x^3+x)+(x^{100}+x^{98}...+x^2)+1[/tex]
Each of the parentheses contain fifty terms. -1 to any odd power is -1, and -1 to any even power is 1. Therefore:
[tex]P(-1)=-(-50)+(50)+1[/tex]
Evaluate:
[tex]P(-1)=101[/tex]
The remainder is 101.
Answer:
The Answer is 101
Step-by-step explanation:
101 is how much is remaining
what is 3x4^3/34
need ASAP!!
Answer:
3x4^3/34
3×64/34=192/34=96/17 or 5.64
The circumference of a pizza is 12in. What is the Area?
Answer:
113.04 square inches
Step-by-step explanation:
Write a linear function given the table below. Use function notation.
A. y = 4x + 1
B. y = -4x + 1
C. y = 5x - 1
D. y = 5x + 1
The perimeter of a square is 44 meters. Find the length of a diagonal of a square.
Answer:
15.6m
Step-by-step explanation:
Please see the attached picture for the full solution.
Let y the length of the diagonal of the square.
HELP PLZ
What is the equation of a line perpendicular to the x-
axis that passes through the point (-5,-1)? What is the
slope of this line?
Answer:
The equation is x = -5
The slope is 0
Step-by-step explanation:
If the line is perpendicular to the x axis, that means it is a vertical line.
Vertical lines only reach one x value, which is -5 in this case.
So, the equation will simply be x = -5.
The slope is 0.
Find the slope of the line
y=-6/5x + 4/9
Answer:
-6/5
Step-by-step explanation:
slope =coefficient of x
A trash bin has a capacity of 50 gallons. What percentage of its capacity is 5 gallons?
Answer:
10%
Step-by-step explanation:
5/50 = 10/100
10/100 = 10%
Answer:
5 gallons is 10% capacity.
Step-by-step explanation:
5 gallons accounts for 10% of a container which holds 50 gallons.
[tex](\frac{1}{10} )*50=5[/tex]
A shipping container will be used to transport several 70-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23500 kilograms. Other shipments weighing 9700 kilograms have already been loaded into the container. What is the greatest number of 70-kilogram crates that can be loaded into the shipping container?
Subtract what has already been loaded from total amount allowed:
23500 - 9700 = 13,800
Divide the amount left by the weight of each crate:
13,800 / 70 = 197.14
They can load 197 crates.
The question is in the picture
Answer:
the last answer
Step-by-step explanation:
please answer and make sure youre right i got a 50
Answer and Step-by-step explanation:
First, let's solve for z.
3z - 1 ≥ -7
We add 1 to both sides.
3z ≥ -6
Now we divide both sides by 3.
z ≥ -2
Since we got this as our answer, that means Answer choice D is the correct answer.
#teamtrees #WAP (Water And Plant)
Cost price = £50
Selling price = £125
Calculate the percentage profit.
May I have the method to please
You can use this graph to convert between
miles and kilometres.
80
-od
70
60
a) Change 30 miles to kilometres.
50
1 kilometres (1)
Kilometres
40
b) Change 100 kilometres to miles.
20
miles (2)
10
0
0
10 20 30
Miles
40 50
Total marks: 3
Answer:
A. 48 Km.
B. 62.5 miles.
Step-by-step explanation:
From the diagram given above, the following data were obtained:
50 miles = 80 Km
A. Converting 30 miles to kilometres.
50 miles = 80 Km
Therefore,
30 miles = 30 miles × 80 Km / 50 miles
30 miles = 48 Km
Thus, 30 miles is equivalent to 48 Km.
B. Converting 100 km to miles.
80 Km = 50 miles
Therefore,
100 Km = 100 Km × 50 miles / 80 Km
100 Km = 62.5 miles
Thus, 100 Km is equivalent to 62.5 miles.
At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. What is the maximum height of the clown?
A. 45 Feet
B. 109. 4 Feet
C. 72.3 Feet
D. 87.3 Feet
Answer:
The maximum height is 46.64 feet.
Step-by-step explanation:
If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.
So, we have the function h(t):
[tex]h(t)=-16t^{2} + 45t + 15[/tex]
Taking the derivative, we have:
[tex]\frac{dh(t)}{dt}=-32t + 45=0[/tex]
Now, we solve it for t:
[tex]t=\frac{45}{32}=1.4\: s[/tex]
Finally, we put this value of t into the original equation.
[tex]h(t)=-16(1.4)^{2} + 45(1.4) + 15[/tex]
[tex]h_{max}=46.64\: ft[/tex]
Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.
I hope it helps you!
A cheese processing plant keeps the heavy cream for their product in a silo with a dome top. The silo has an overall diameter of 25. The height of the cylinder part is 31 feet tall. What is the volume of the silo as a whole? Round your answer to the nearest hundredth, if necessary. Use 3.14 for pi.
Select two figures that have the same volume.
O A. cylinder with base radius 2 and height 72
B. cylinder with base radius 4 and height 12
C. cylinder with base radius 6 and height 4
OD. cylinder with base radius 8 and height 3
Answer: The last one and the second one both have a volume of 603.18
Step-by-step explanation:
Can you explain the answer of -2 + 2 divided by 2?
Answer:
0
Step-by-step explanation:
Zero divided by any number is zero
For instance,
there are no apples, and your mom says you and your brother are to share the apples. because there are no apples, neither of you gets an apple and that makes it 0apples for each of you.
(I hope this helps)
1. In 1980, approximately 6 million women enrolled in college in the United States. The number of women who enroll in college has increased at a rate of 0.14 million women per year. There were about 5.4 million men enrolled in college in 1980, and that number has increased at a rate of 0.08 million men per year. In what year (prior to 1980) were an equal number of men and women enrolled in college?
Answer:
Step-by-step explanation:
First, you can plot this using a table. One side can be 'Women' and the other 'Men'. One the vertical side of it, write '1980', '1981', '1982', etc., for maybe fifteen years to be on the safe side. Then, your starting value is 6 million and 5.4 million, respectively.
Finally, start adding up, It will be, 6.14 million, 6.28 million, etc., and 5.4 million, 5.48 million, etc.
Once you're done, you can circle the year both were the same, and you can even plot this on a graph
Answer:
What he said above me and he is correct
Step-by-step explanation:
PLEASE QUICK WILL GIVE BRAINLESS
Which number is the additive inverse of -44 -422 -47 1 2 2
Answer:
Multiplicative inverse of 2 1 2
The opposite of 212 is −12 . The reciprocal of 212 is 25
Step-by-step explanation:
Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic feet of water does it hold?
Answer:
The tank can hold 18.84 cubic feet
Step-by-step explanation:
Given
Shape: Cylinder
[tex]D = 2ft[/tex] -- Diameter
[tex]H = 6ft[/tex] -- Height
Required
Determine the volume
First, calculate the radius (r)
[tex]r = \frac{1}{2}D[/tex]
[tex]r = \frac{1}{2}*2ft[/tex]
[tex]r = 1ft[/tex]
The volume (V) of the tank is:
[tex]V = \pi r^2h[/tex]
Substitute values for r and h
[tex]V = 3.14 *1^2*6[/tex]
[tex]V = 3.14 *1*6[/tex]
[tex]V = 18.84[/tex]
Hence, the tank can hold 18.84 cubic feet
Jessica is a custodian at Oracle Arena. She waxes 20 m2 of the floor in 3/5 of an hour. Jessica waxes the floor at a constant rate. At this rate, how many square meters can she wax per hour?
Answer:
33.3m^2
Step-by-step explanation:
If Jessica waxes 20 m^2 of the floor in 3/5 of an hour, then;
20m^2 = 3/5 hr
To get the area that she waxes in an hour
x = 1 hr
Divide both expression
20/x = 3/5
3x = 20 * 5
3x = 100
x =100/3
x = 33.3m^2
Hence she can wax 33.3m^2 in an hour
Which of the following expressions represents a value greater than 4/5 ?
Answer:
For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). ... Since 25 is greater than 24, 25/30 (or originally 5/6) is the larger fraction
Step-by-step explantion
Compare fractions with the same denominator by determining the relationship between the numerators. For example, 3/5 is less than 4/5 because 3 is less than 4
Can you solve number 1 please.
What fraction of an hour is 18 minutes?
Give your answer in its simplest form.
Answer:
3/10
Step-by-step explanation:
An hour is 60 mins
so the fraction would be 18/60
Then you can divide both numbers by 6 to 3/10
Which of the following is the measure of PCR?
Р
8
38°
8
R
A. 380
O
B. 76°
O
C. 90°
O
D. 80°
9514 1404 393
Answer:
B. 76°
Step-by-step explanation:
The triangles are congruent (HL), so each has the same angle at vertex C.
2 × 38° = 76°
Angle PCR is 76°.
Answer:
76
Step-by-step explanation:
BRAINLIST!!! "Twenty-eight is more than four times another number" can be shown by the inequality 28 > 4n. Select the values of n which could possibly make this a true statement.
Options
4
6.65
7
8 1/3
n>7
Answer:
6.65
Step-by-step explanation:
Answer:
n < 7 (n must be strictly less than 7)
so 4 and 6.65 can make this statement true
Step-by-step explanation:
28 > 4n
solve as if it is a normal equation,
divide both sides by 4
n < 7
n must be less than 7
so 4 and 6.65 are values that make the statement true
Multiply. Assume t is greater than or equal to zero, and write your answer in simplest form.
Answer:
t is greater than or equal to 0:
[tex] t \: \geqslant 0[/tex]
Eyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63. How much money did Leyan spend on tomatoes?
Answer:
the money spend on tomatoes is $4.20
Step-by-step explanation:
The computation of the money spend on tomatoes is shown below
Let the money spend on tomatoes be x
So
[tex]2 \frac{3}{4} \times \$1.32 + 1\frac{1}{2} \times \$1.20 + x = \$9.63\\\\[/tex]
$3.63 + $1.80 + x = $9.63
x = $9.63 - $3.63 + $1.80
= $4.20
Hence, the money spend on tomatoes is $4.20
Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph
Answer:
3mph
Step-by-step explanation:
From Igor we find that the distance is 2x6= 12 miles
Distance/Time = Speed
12 miles/4 hours = 3mph
18 (03.06 MC
are filled the glass shown below.comeletely with water. The total amount of water that you poured into the glasses a 120 cubic centimeters. What is the height of glass 17 Round your new to the nearest hundreditres (2.14.) Note that all
mentre comers and images are not to scale (pont)
.
Answer:
sasuke
Step-by-step explanation:
B is The power W produced in an electrical circuit is directly proportional to the current I that flows through the circuit. If a power of 750 watts is produced by a current of 9 amps, what power would be produced by a current of 6 amps?