Answer:
the person earned one summer = $3,600
We have to show the amount in fraction that Paula spent during the following semester,
they spent for tuition = $2,500 = × 100
=0.6944 × 100
= 69.44%
they spent for rent = $650 = × 100
= 0.1806 × 100
= 18.06%
they spent for food = $430 = × 100
=0.1194 × 100
= 11.94%
they Spent in tuition, rent and food = 2,500 + 650 + 430 = $3580
Now they spent in miscellaneous expenses = 3600 - 3580 = $20.00 × 100
= 0.056 × 100
= 0.56%
Help me please help me
Answer:
j=-56
Step-by-step explanation:
Hi!
j-38 = -95
Because -95 is negative, j has to be less than one. If a negative is subtracted off of a negative, the number becomes smaller -95+39= j.
-95+39=-56
Answer:
j = -56
Step-by-step explanation:
j - 39 = -95
Add 39 to both sides:
j - 39 = -95
+ 39 + 39
j = -56
Final answer: j = -56
Hope this helps!
8. (06.04 MC)
Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of r. (1 point)
O 80 cm²
96 cm²
128 cm²
192 cm²
The total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²
Calculating Total surface area of a CylinderFrom the question, we are to determine the total surface area of the cylinder
The total surface area of a cylinder can be calculated by using the formula,
T.S.A = 2πr² + 2πrh = 2πr(r +h)
Where r is the radius
and h is the height
From the given information,
h = 8 cm
r = 4 cm
Putting the parameters into the formula, we get
T.S.A = 2π×4(4 +8)
T.S.A = 8π(12)
T.S.A = 96π cm²
Hence, the total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²
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If 5 cars are selected from 8 and arranged side-by-side in a parking lot, how many permutations are
possible?
==========================================================
Explanation:
We have five slots which we can label A,B,C,D,E
There are 8 choices for slot AThen 7 choices for B6 for C5 for D4 for EWe start at 8 and count down by 1 each time until all slots are accounted for. Then multiply out those items: 8*7*6*5*4 = 6720
--------------
Another approach is to use the nPr permutation formula.
Plug in n = 8 and r = 5.
[tex]n P r = \frac{n!}{ (n-r)! }\\\\8 P 5 = \frac{8!}{ (8-5)! }\\\\8 P 5 = \frac{8!}{ 3! }\\\\8 P 5 = \frac{8*7*6*5*4*3!}{ 3! }\\\\8 P 5 = 8*7*6*5*4\\\\8 P 5 = 6720\\\\[/tex]
In the second to last line, the "3!" factorial terms cancel out.
We have the string 8*7*6*5*4 show up again to help reinforce the previous section.
Work out the surface area of this cylinder
Answer:
in terms of pi: 24pi cm squared
substituting pi for 3.14: 75.36 cm squared
Step-by-step explanation:
8pi + 16pi = 24pi
!!100!! POINTS PLEASE HELP
Answer:
[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]
Build a proportional equation:
[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]
[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]
[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]
[tex]\rightarrow \sf 100 = 6x+60[/tex]
[tex]\rightarrow \sf 40= 6x[/tex]
[tex]\rightarrow \sf x = 40/6[/tex]
[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]
[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]
Answer:
Step-by-step explanation:
1. Create a porportianal equation. ab/ad=bc/de
2. plug in the variables for each line segment. 10/x+10=6/10
3. multiply each side by x + 10. (6x+60)/10=10
4. Multiply each side by 10. 6x+60=100
5. simplify. 6x=40 3x=20
6. divide each side by 3. x=20/3
(Sorry about my last answer)
We have a part-whole ratio of 2 : 10. How can we represent this ratio as a percent?
Answer:
20%
Step-by-step explanation:
2:10 = 2/10 = 20/100 = 20%
please help me with this
A B and F seem like questions that make sense :)
Answer:
Abc
Step-by-step explanation:
they make the most reasonable answers
10% of 2100 is 210
Work out 43% of 2100
Answer:
43÷100*2100=903
Step-by-step explanation:
43 devide by 100 because it is a percentage, we always devide percentages by 100. It gives an answer of 0,43.
0,43 multiply by 2100 because we need a cost.
What is the greatest common factor of
21xy^3 6x^4y^2
A. 42x^4 y^3
B. 42x^5 y^5
C. 3x^4 y^3
D. 3xy^2
A person standing at the top of Mountain Rainier would be approximately 2.7 mi high. The radius of earth is 3959 mi.What is the distance to the horizon from this point?
Answer:
103.4 mi to nearest hundredth.
Step-by-step explanation:
This is an application of the Tangent/secant of a Circle theorem.
If h is the distance to the horizon:
h^2 = 2.7 * (3959 + 2.7)
h^2 = 10696.59
h = 103.424 miles.
Rewrite each fraction with a denominator of 24. 2/3 and 5/8
Answer:
2/3 of 24 is 16/24
5/8 of 24 is 15/24
Step-by-step explanation:
if you multiply across 2/3 by 8/8 it equal to 16/24
if you multiply across 5/8 by 3/3 it equal to 15/24
Answer:
16/24 and 15/24
Step-by-step explanation:
To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.
_30. Solve the following logarithmic equation: log8(x + 9) + 3 = 3
A) x = -8
B) x = 87
C) x = 12.5
D) x = 0
=
Answer:
A
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
[tex]log_{8}[/tex] (x + 9) + 3 = 3 ( subtract 3 from both sides )
[tex]log_{8}[/tex] (x + 9) = 0 , then
x + 9 = [tex]8^{0}[/tex] = 1 ( subtract 9 from both sides )
x = - 8
Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
hundredth, if sin 0 = 0.27 and 0 < 0 < 7
Answer:
3.7
Step-by-step explanation:
Given
sin²θ + cos²θ = 1sinθ = 0.27Solving for cosθ
cos²θ = 1 - sin²θcos²θ = 1 - (0.27)²cos²θ = 0.0729Finding tanθ
tanθ = sinθ / cosθtanθ = 0.27 / 0.0729tanθ = 3.7Verifying it lies in the range
θ = tan⁻¹ (3.7)θ = 74.88° Range is : 0 < θ < π/2 [or 0 < θ < 90°]It lies in the range [Verified]what is the measure of the angle in degrees
Answer:
35°
Step-by-step explanation:
7π=210°
so I assume you just divide 210° by 6 and that comes out to 35°
I HOPE this helps!
Can someone explain the right answer? The question and answer is below.
Answer:
x -3y +4Pythagorean theoremStep-by-step explanation:
You want to find the horizontal and vertical distances between two points, and you want to know how to use those to find the distance between those points.
__
horizontal distanceThe x-coordinate of a point is its horizontal distance from the y-axis. The horizontal distance between two points will be the difference of their x-coordinates.
If the points are (3, -4) and (x, y), the x-coordinates are 3 and x. The difference between those coordinates can be written as x-3. (Usually, we subtract the first point from the second one.)
The horizontal distance from (3, -4) to (x, y) is (x -3).
__
vertical distanceIn like fashion, the y-coordinate of a point is its vertical distance from the x-axis. The vertical distance between two points will be the difference of their y-coordinates.
For the points (3, -4) and (x, y), the y-coordinates are -4 and y. The difference between those coordinates is y -(-4) = y +4.
The vertical distance from (3, -4) to (x, y) is (y +4).
__
total distanceAs the attachment shows, the horizontal and vertical distances between the two points can be considered to be the legs of a right triangle. The "total" distance between the points is the straight-line distance. It is the hypotenuse of that triangle.
The Pythagorean theorem gives the relation between the sides and hypotenuse of a right triangle. In this context, the Pythagorean theorem can be used to create an equation showing the relationship between the legs of the triangle and the distance from (x, y) to the center. (That distance is the radius.)
In particular, the equation created is ...
(x -3)² +(y +4)² = 7²
_____
Additional comment
For right triangle legs 'a' and 'b', and hypotenuse 'c', the Pythagorean theorem tells you ...
a² +b² = c²
The sum of the squares of the sides is equal to the square of the hypotenuse.
PLS ANSWER FOR MEEEE FAST TYYYYSMM
The following sphere has. A diameter of 18 cm.
Answer:
I think your answer is A, correct me if I'm wrong
When Lillian goes bowling, her scores are normally distributed with a mean of 130
and a standard deviation of 11. Using the empirical rule, what percentage of the
games that Lillian bowls does she score between 119 and 141?
Using the Empirical Rule, it is found that she scores between 119 and 141 on 68% of the games that she bowls.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering that the mean is of 130 and the standard deviation is of 11, the interval between 119 and 141 is within one standard deviation of the mean, hence she scores between 119 and 141 on 68% of the games that she bowls.
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What is 3,740,231,580 rounded to the nearest million
Step-by-step explanation:
3,740,231,580
we normally start rounding from the end so the last number should be checked. If it's not more than 5, then make it a zero and move on to the next. if it's more than five, make the number zero and add 1 to the the next number. So this is how it will look.
3,740,231,580
3,740,231,580
3,740,231,590
3,740,231,600
3,740,232,000
3,740,230,000
3,740,200,000
3,740,000,000
And I think that's it
help pls
14 numbers are written in a row so that the sum of any three consecutive numbers is
19, and the sum of all the numbers is 77. Find the 9th number.
The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
How to check that the series meets the requirements?To verify that the series meets the requirements, we must establish what the requirements are:
Every 3 consecutive numbers must add up to 19.In total there must be 14 numbers.The total sum of all the numbers must be 77.To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
5 + 6 + 8 = 199 + 4 + 6 = 197 + 3 + 9 = 192 + 8 + 9 = 19In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
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What type of slope is demonstrated by the line below?
(-1,3)
A. Positive slope
B. Negative slope
C. Undefined slope
D. Zero slope
(0,-2)
What is the solution of rootindex 3 startroot x 8 endroot = negative 4?
The solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72
How to determine the solution?The equation is given as:
[tex]\sqrt[3]{x + 8} = -4[/tex]
Take the cube of both sides
x + 8 = -64
Subtract 8 from both sides
x = 72
Hence, the solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72
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Julianna has thirty two pieces of candy in a candy jar. Julianna only has two kinds of candy.
jolly rangers and twix. For every four twix bars, she has two pieces of jolly rangers. How many
pieces of each candy are in the candy jar?
The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.
What are the linear equations that represent this question?
j + t = 33 equation 1
4t = 2j
j = 2t equation 2
Where:
j = number of jolly rangers
t = j = number of twix
How many twix candies does Julianna have?
Substitute for j in equation 1 using equation 2
2t + t = 33
3t = 33
t = 11
How many jolly candies does Julianna have?Subsitute for t in equation 2
j = 11 x 2 = 33
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Luis is flying a kite, holding his hands a distance of 3.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 35^{\circ} ∘ . If the string from the kite to his hand is 140 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
The height of the kite above the ground to the nearest tenth of a foot is 84.1 ft
Using the angle of elevation to find height?The situation forms a right angle triangle.
Therefore, the length of the string is the hypotenuse of the triangle formed.
Hence, using trigonometric ratios,
sin 35 = opposite / hypotenuse
sin 35 = h / 140
cross multiply
h = 140 sin 35
h = 140 × 0.57357643635
h = 80.3007010891
Height of the kite above the ground = 80.3007010891 + 3.75 = 84.0507010891
Height of the kite above the ground = 84.1 ft
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A- 52/3
B- 52/7
C- 17
D- 3/4
The Answer is: A. 52/3
I need help PLEASE HELPP
Answer:
1 and 5 are corresponding angle
8 and 4 are corresponding angle
4 and 6 are alternate interior angle
2 and 8 are alternate exterior angle
7 and 3 are corresponding angle
2 and 6 are corresponding angle
3 and 5 are alternate interior angle
1 and 7 are alternate exterior angle
Which equation matches the graph?
y=-2x
Step-by-step explanation:
it can't be y=2x and y=-½ because it passes by the opposite side of the given graph
3. In which quadrant do lines land m Intersect?
m
A. Quadrant !
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Answer:
Quadrant 3 so the answer should be c
There were 16 teams that competed in men's ice hockey at the Salt Lake City Olympics of 2002.
Find the number of permutations for the gold, silver, and bronze metals at the awards ceremony.
Answer:
3360.
Step-by-step explanation:
That would be the number of permutations of 3 from 16.
= 16P3
= 16!/(16-3)!
= 16*15*14
= 3360
Answer:
3 360 permutations
Step-by-step explanation:
the number of permutations :
16P3 = 16 × 15 × 14 = 3 360
What is the volume?
Answer:
volume = l×b×h = 1.6 × 1.6 × 1.6 = 4.096cm³
A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.
Answer:
2
5
Step-by-step explanation:
fraction of girls in the class is 6
5
so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4
10(total number of students) is
2
5 when simplified