The Percentage of Sally's Team Wins :
[tex]\bf{\implies (\frac{Number\;of\;Games\;won\;by\;the\;Team}{Total\;Number\;of\;Games\;the\;Team\;Played}) \times 100}[/tex]
Given : Total Number of Games the Team Played = 25
Given : Number of Games won by the Team = 17
[tex]\bf{The\;Percentage\;of\;Team\;Wins = (\frac{17}{25}) \times 100}[/tex]
⇒ The Percentage of Sally's Team Wins = (17 × 4) = 68%
Sally's soccer team played 25 games and the team won 17 games. What percent of games did the team win?
The fraction [tex]\frac{17}{25}[/tex] represents the number of games that Sally's soccer team won out of all the games the team played.
To find what percent of games the team won, we can turn the fraction [tex]\frac{17}{25}[/tex] into a percent.
17 ÷ 25 = 0.68
0.68 × 100 = 68%
Therefore, Sally's soccer team won 68% of the games they played.
Two of the angles in a triangle measure 56° and 28°. What must be the measure of the third angle?
The figure below shows a pair of lines crossed by a transversal. All of the angles are labeled with numbers. Using the numbers, give one pair of each of the types of angles listed below.
Answer:
a. Vertical angles: 1 and 4, 2 and 3, 5 and 8, 6 and 7.
b. Supplementary angles: 1 and 2, 2 and 4, 3 and 4, 1 and 3, 5 and 6,
6 and 8, 7 and 8, 5 and 7.
c. Corresponding angles: 1 and 5, 2 and 6, 3 and 7, 4 and 8.
d. Alternate interior angles: 3 and 6, 4 and 5.
e. Alternate exterior angles: 1 and 8, 2 and 7.
Step-by-step explanation:
a. Vertical angles (opposite by the vertex):
1 and 4, 2 and 3, 5 and 8, 6 and 7
b. Supplementary angles (sum 180°):
1 and 2, 2 and 4, 3 and 4, 1 and 3, 5 and 6, 6 and 8, 7 and 8, 5 and 7
c. Corresponding angles (same position respect the right lines and the secant):
1 and 5, 2 and 6, 3 and 7, 4 and 8
d. Alternate interior angles (between the lines but in different position with respect the secant):
3 and 6, 4 and 5
e. Alternate exterior angles (not between the lines and in different position with respect the secant):
1 and 8, 2 and 7
The sum of the speeds of two trains is 719.1 miles per hour. If the speed of the first train is 6.9 mph faster than that of the second train, find the speeds of each. What is the speed of the first train? nothing ▼ miles per hours (Type an integer or a decimal.) What is the speed of the second train? nothing ▼ hours miles per hour miles (Type an integer or a decimal.)
Answers
First train's speed is 363 mph
Second train's speed is 356.1 mph
=====================================
Explanation:
x = speed of first train, y = speed of second train
x+y = 719.1 because the two speeds add to this value (sum means result of addition)
x = y+6.9 due to the fact that the first train (x) is faster than the second train (y) by 6.9 mph
Use substitution to find that...
x+y = 719.1
y+6.9+y = 719.1 <--- replace x with y+6.9
2y+6.9 = 719.1
2y = 719.1-6.9 <--- subtract 6.9 from both sides
2y = 712.2
y = 712.2/2 <--- divide both sides by 2
y = 356.1
now use this y value to find x
x = y+6.9
x = 356.1+6.9
x = 363
The speed of the first train is 363 mph and the speed of the second train is 356.1 mph. To find these, we solved the equation 2x + 6.9 = 719.1, where x represents the speed of the slower train.
To solve this problem, we will use algebra to set up equations based on the information given. Let's denote the speed of the second train as x miles per hour. Accordingly, the speed of the first train is described as x + 6.9 miles per hour, since we are told it is 6.9 mph faster than the second train. The sum of their speeds is given to be 719.1 mph. Therefore, we can write the following equation to find the speeds of each train:
x + (x + 6.9) = 719.12x + 6.9 = 719.12x = 719.1 - 6.92x = 712.2x = 356.1Hence, the speed of the second train is 356.1 mph. Now to find the speed of the first train we add 6.9 mph to the speed of the second train:
Speed of the first train = 356.1 mph + 6.9 mphSpeed of the first train = 363 mphSo the speed of the first train is 363 mph, and the speed of the second train is 356.1 mph.
3. VIDEO GAME Porsche bought a new video game. The first time she played, it took her 24 minutes to reach Level 2, the second time it took 18 minutes, the third time it took 16 minutes, and the fourth time it took 12 minutes. Use mental math to determine how many minutes she spent at Level 1 while playing these four games.
Answer:
it is 70 minutes total
Step-by-step explanation:
just add them
By adding the time spent on each game, we find that Porsche spent a total of 70 minutes at Level 1 across four gaming sessions.
Porsche spent a total amount of time at Level 1 over four games by adding the time taken for each game. This is a simple addition problem. The total time taken is:
First time: 24 minutes
Second time: 18 minutes
Third time: 16 minutes
Fourth time: 12 minutes
Using mental math, we can add these up:
24 + 18 + 16 + 12 = 70 minutes
Therefore, Porsche spent 70 minutes playing at Level 1 over the course of these four games.
At the dealership where she works, Sade fulfilled 3/10 of her quarterly sales goal in January and another 1/10 of her sales goal in February. What fraction of her quarterly sales goal had Sade reached by the end of February? ____ of her goal
Shane has been monitoring his mileage. According to last week's driving log, he drove 1/10 of a mile in his car and 9/10 of a mile in his truck. How far did Shane drive last week in all?
For a class experiment, Vina's class weighed a log before and after subjecting it to termites. Before subjecting it to termites, the log weighed 7/10 of a pound. After the termites, the log weighed 3/10 of a pound. How much weight did the termites take from the log?
Hi There!
----------------------------------------
Problem #1:
At the dealership where she works, Sade fulfilled 3/10 of her quarterly sales goal in January and another 1/10 of her sales goal in February. What fraction of her quarterly sales goal had Sade reached by the end of February?
3/10 + 1/10 = 4/10
4/10 of her goal.
----------------------------------------
Problem #2:
Shane has been monitoring his mileage. According to last week's driving log, he drove 1/10 of a mile in his car and 9/10 of a mile in his truck. How far did Shane drive last week in all?
1/10 + 9/10 = 10/10 = 1
Shane drove 1 mile.
----------------------------------------
Problem #3:
For a class experiment, Vina's class weighed a log before and after subjecting it to termites. Before subjecting it to termites, the log weighed 7/10 of a pound. After the termites, the log weighed 3/10 of a pound. How much weight did the termites take from the log?
7/10 - 3/10 = 4/10
The termites took 4/10 pound away from the log.
----------------------------------------
Hope This Helps :)
Which could be the name of a point?
A. N
B. K
C. m
D. 1
Answer:
I am pretty sure your answer is n because of the font i think.
Answer:
I believe the correct answer would be A. N.
Step-by-step explanation:
For two reasons. Reason 1, it's in a different font than everything else which indicates that it stands for something more than just the letter N. Reason two is, letters are usually used to indicate names of points on graphs, and in equations.
The Art club is having a fundraiser, and 198 people are attending. if 12 people can sit at EACH table, what is the least number of the tables needed?
Answer:
17
Step-by-step explanation:
because 12 people can sit at each table, so youd divide 198 by 12 to see how many tables youd need, and you get 16.5. you cant have 16.5 tables, so always round up when it comes to objects, humans, things, etc. so you get 17
David sells two calculators for ₹1500 each .He earns a profit of 25% on
one and suffers a loss of 25% on the other. Find his total profit or loss on
the whole deal. Also calculate it as a percentage
Answer:
gain = 0
% = 0
Step-by-step explanation:
Profit
He sells one for a profit of 25% That means he sells one of them for 100% + 25% = 125%
₹1500 * 125/100 = ₹187500/100 = ₹1875
Loss
Here he sells it for 25% less than the selling price he wanted.
100% - 25% = 75%
₹1500 * 75/100 = ₹112500/100 = ₹1125
Discussion
He should make ₹1500 + ₹1500 = ₹3000 without either profit or loss.
What he actually accomplishes is ₹1125 + ₹1875 = ₹3000
So he has a net gain (loss) of 0.
The % is 0
[tex] {3}^{x} = 243[/tex]
Answer: x = 5
Step-by-step explanation:
NOTE: 343 = 3 * 3 * 3 * 3 * 3
3ˣ = 3⁵
Since the bases are the same, we can eliminate the base and set the exponents equal to each other:
x = 5
Answer:
[tex]3^{5}[/tex]
Step-by-step explanation:
3 × 3 × 3 × 3 × 3 = 243
Jason makes $7 per hour picking up trash. His boss offers to pay him an additional $45 a week for sorting the recycling after work. What are the parameters in this scenario?
Answer:
The parameters are 7 and 45.
Step-by-step explanation:
Let's model the situation.
Let h be the number of hours Jason worked in a week.
Then, his total income is calculated as follows
His hourly charges = $7
Number of hours worked = h
So, hourly charges for the hours he worked = 7h
Additional income offered by his boss = 45
So, his total income per week = 7h + 45
Here, 7, the hourly charge and 45, the additional income are the parameters.
Point E is the midpoint of side BC of parallelogram ABCD (labeled counterclockwise) and AE ∩ BD =F. Find the area of ABCD if the area of △BEF is 3 cm2.
Answer: [tex]36 cm^2[/tex]
Explanation:
Since here ABCD is the parallelogram.
Where E is the mid point of the line segment BC.
And, F is the intersection point of the segments AE and BD,
Also, Area of △BEF is 3 [tex]cm^2[/tex].
We have to find Area of parallelogram ABCD.
Since,In ΔBEF and ΔACD,
∠ADF=∠EBF ( because AD ║ BE )
∠DFA = ∠BFE (vertically opposite angle)
Thus, By AA similarity postulate,
[tex]\triangle BEF \sim \triangle ACD[/tex],
Thus, [tex]\frac{area of \triangle ADF }{area of \triangle BFE} =(\frac{AD}{BE})^2[/tex]
But, AD = 2 BE,
Therefore, [tex]\frac{area of \triangle ADF }{area of \triangle BFE} =(\frac{2BE}{BE})^2[/tex] = 4/1
Thus, area of Δ ADF = [tex]12 cm^2[/tex]
Similarly, [tex]\triangle ADB \sim \triangle BAE[/tex]
Now, let the area of the triangle AFB = x [tex]cm^2[/tex]
Thus, x + 12 = 2(x+3) ( because the area of the ΔADB = 2(area of ΔBAE) )
⇒ x = 6 [tex]cm^2[/tex]
Therefore, area of ΔAFB= 6 [tex]cm^2[/tex]
⇒ area of ΔABD = 12 + 6 = 18 [tex]cm^2[/tex]
By the definition of diagonal of parallelogram,
Area of parallelogram ABCD = 2× area of Δ ABD= 2 × 18 = 36 [tex]cm^2[/tex]
EASY PLEASE HELP
and show work
Answer:
402.88mm³
Step-by-step explanation:
To find the answer to this, we need to find the total area of the coin and then the size of the inner coin.
As this is a cylinder, the formula is:
[tex]\pi r^{2} h[/tex]
So lets find the area of the whole coin.
The radius is 11.5 and height is 2.2
[tex]\pi * 11.5^{2} * 2.2 = 914.05[/tex]
Now, the area of the inner circle:
Radius is 8.6 and height is 2.2:
[tex]\pi * 8.6^{2} * 2.2 = 511.17[/tex]
Now to find the area of the silver ring in the coin, you subtract the inner circle measurement from the whole coin measurement:
914.05 - 511.17 = 402.88
So the volume of the outer ring is 402.88mm³
Which expression is equivalent to 60
Answer:
None of the above
Step-by-step explanation:
a. (10+50) *4
60 *4
240
b. 2 * (19+13)
2* (32)
64
c. ( 120+8)÷3
128/3
42 2/3
d . 4+ 8*8
4 + 64
68
Sean read one fifth (1/5) of a book in 1 and a half hours.
How long will it take Sean to read half (1/2) of this book?
Enter your answer as a mixed number in simplest form in the box.
hours
Answer:
3 3/4 hours
Step-by-step explanation:
The answer is 3 3/4 hours
Hope this helps :)
someone plzz help and plzz leave a explanation thx
Answer:
b,d,e
Step-by-step explanation:
Rock the House
Cost = initial fee + hourly charge * hours
Cost = 500 + 50h
Elegant Homes
Cost = initial fee + hourly charge * hours
Cost = 0+ 75h
Cost = 75h
Set the costs equal
500+ 50h = 75h
Subtract 50 h from each side
500 = 25h
Divide by 25
500/25= 25h/25
25 =h
The costs are equal at 20 hours
If less than 20 hours it costs less at Elegant homes.
If more than 20 hours it costs less at Rock the house
Rickey has fraction 7 over 8 of a cup of cereal in a bowl. He then gave two fraction 1 over 4 cups of cereal from his bowl to his little sister. Which of the following best explains the amount of cereal left in Rickey's bowl? fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4 fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 3 over 4 fraction 1 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4 fraction 1 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 3 over 4
Answer:
Fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4.
Step-by-step explanation:
Rickey has [tex]\frac{7}{8}[/tex] of a cup of cereal in a bowl.
He then gave two [tex]\frac{1}{4}[/tex] or [tex]2\times \frac{1}{4}[/tex] or [tex]\frac{2}{4}[/tex] cups of cereal from his bowl to his little sister.
Amount of cereal left in Rickey's bowl = [tex]\frac{7}{8}- \frac{2}{4}[/tex]
= [tex]\frac{7-4}{8}=\frac{3}{8}[/tex]
So, the answer is -
Fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4.
Solve the inequality for u.
.
Simplify your answer as much as possible.
Answer:
u ≤ 4
Step-by-step explanation:
The given inequality
15 ≤ 39 - 6u
Subtract 39 from both sides, we get
15 - 39 ≤ 39 - 6u - 39
-24 ≤ -6u
Dividing both sides by -6, we get
4 ≥ u [Remember, when we divide by negative, the direction of
the inequality changes]
Which is u ≤ 4.
Thank you.
Answer:
U is greater than or equal to 4
Step-by-step explanation:
(pretend theres a line under the <)
15 < 39 - 6u
subtract both sides by 39 to get -6u by itself
-24 < -6u
divide both sides by -6 and get u completely by itself
4 < u
u is greater than or equal to 4.
a pair of shoes cost x dollars. if there is a 30% discount, write the expression to show final amount
Answer:
f = 0.30(x)
Step-by-step explanation:
Let x = # of dollars
Let f = final amount
Note that 30% is the same as 30/100, which in decimal form is 0.30
Set the equation.
Each pair of shoes costs x amount, in which it is decreased by 30%, which leads to the cost in f amount.
~
The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. y = 8x y = -0.01 x2 + 4x + 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?
Answer:
The solution of the system is the point where the graphs intersect, or have the same x and y values. This means that the company's cost to produce 400 caps is the same as the income made from selling 400 caps. Therefore, the company will not make a profit.
The cost to produce 400 caps is the same as the income made from selling 400 caps.
The company will break even when it sells 400 caps; it will not make a profit.
Step-by-step explanation:
Answer: Your response may vary. Sample answer below is the correct response.
Step-by-step explanation: Sample response: The solution of the system is the point where the graphs intersect, or have the same x and y values. This means that the company's cost to produce 400 caps is the same as the income made from selling 400 caps. Therefore, the company will not make a profit.
Make sure to include in your answer:
The cost to produce 400 caps is the same as the income made from selling 400 caps.Good Luck! :)
The perimeter of a rectangular garden is 30 meters. It’s dimensions are such that the width is one-half it’s length . What is the length of the garden ? 20 meters 10 meters 20 feet 5 meters
The length of the rectangular garden will be 10 meters. Thus, the correct option is B.
Given that:
Perimeter, P = 30 meters
Relation, W = L/2
Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,
Perimeter of the rectangle = 2(L + W) units
The length of the garden is calculated as,
30 = 2(L + L/2)
30 = 2 x 3L / 2
3L = 30
L = 10 meters
Thus, the correct option is B.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ6
9,16=7
4,36=8
121,81=20
25,49=?
Answer:
12
Step-by-step explanation:
√9 = 3 and √16 = 4
3 + 4 = 7
There is the same relationship in the second and third set of numbers.
so for 25,9 the answer is 5 + 7 = 12
Answer:
12.
Step-by-step explanation:
We have been given format of different numbers. We are asked to find the missing value for our given format.
[tex]9,16=7[/tex]
Taking square root of 9 and 16 we will get,
[tex]\sqrt{9}=3[/tex]
[tex]\sqrt{16}=4[/tex]
[tex]3+4=7[/tex]
Similarly, we can see that by taking the square root of all the on the left side of equation and adding them we get right side of equation.
[tex]\sqrt{4}=2[/tex]
[tex]\sqrt{36}=6[/tex]
[tex]2+6=8[/tex]
[tex]\sqrt{121}=11[/tex]
[tex]\sqrt{81}=9[/tex]
[tex]11+9=20[/tex]
Upon taking square root of 25 and 49 we will get,
[tex]\sqrt{25}=5[/tex]
[tex]\sqrt{49}=7[/tex]
[tex]5+7=12[/tex]
Therefore, the missing number of our given sequence is 12.
3.246 round each number to the place of the underlined digit. The underline number is 4.
Answer:
3.25
Step-by-step explanation:
If we are rounding to the hundreds place, we look at the thousandths place or the 6. Since 6>=5 we will round up. The 4 will become a 5
3.246 rounds to 3.25
Answer:
3.25
Step-by-step explanation:
AS the digit after 4 is 6 we round up the 4.
Given that the area of a triangle is given by the formula A = 1/2 bh, what is the value of A if b = 4 cm and h = 6 cm?
6 cm^2
12 cm^2
24 cm^2
48 cm^2
Answer: choice B 12 cm^2
A = (1/2)*b*h
A = 0.5*b*h <---- 1/2 is the same as 0.5
A = 0.5*4*6 <---- replace b with 4; h with 6
A = 2*6
A = 12
Alternatively, you can multiply the base and height to get 24, then cut that in half to get 12.
Which equation has the least steep graph? A. y = x + 6 B. y = -x - 9 C. y = 2x + 1 D. y = -7x - 2
Answer:
A and B.
Step-by-step explanation:
To get to know the graph with least slope, we have to write all equations in the form y=mx + c.where m is the slope and c is the the y-intercept.
A. y = x + 6
For this equation m = 1
B. y = -x - 9
For equation B, m = -1
C. y = 2x + 1
In this equation, m = 2
D. y = -7x - 2
In equation D, m = -7
The equation with the highest slope is D while the one with the least slope/steep is A and B.
what is the value of x?
Answer:
x = 2
Step-by-step explanation:
When 2 secants are drawn from an external point to a circle the following theorem applies
outside × whole = outside × whole, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1) ← simplify
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand factors on both sides
x² + 13x + 12 = x² + 9x + 20 ( subtract x² from both sides )
13x + 12 = 9x + 20 ( subtract 9x from both sides )
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
rewrite 3 1 over 5
as a mixed number?
Answer:
3 1/5
Step-by-step explanation:
"1 over 5" means 1/5
3 "1 over 5" would then translate to: 3 1/5
~
Answer:
6 1/5
Step-by-step explanation:
31/5= 6 with one left over
6 1/5 keep denominator the same
4m+2n=5n solve for m
Answer:
m = [tex]\frac{3n}{4}[/tex]
Step-by-step explanation:
given 4m + 2n = 5n ( subtract 2n from both sides )
4m = 3n ( divide both sides by 4 )
m = [tex]\frac{3n}{4}[/tex]
Answer:
m = 3/4 n
Step-by-step explanation:
4m+2n=5n
Subtract 2n from each side
4m +2n-2n = 5n-2n
4m = 3n
Divide by 4
4m/4 = 3n/4
m = 3/4 n
move the numbers from least to greatest in the table 50 points and brainliest
Answer:
It would be -3/5, -0.4, |-1/2|, 0.6, 4/5.
Step-by-step explanation:
Answer:
-3/5 , -0.4 , -1/2 , 0.6 , 4/5
Step-by-step explanation:
-0.6, -0.4 , 0.5 , 0.6 , 0.8
In decimal form
what is 2x+6+x-12=180
Answer:
X=62
Step-by-step explanation:
So solving for x, we have 3x-6=180 or 3x=186. So x=62
Question
what is 2x+6+x-12=180
Answer:
x = 62Step-by-step explanation:
2x + 6 + x * 12 = 180
3x = 180 - 6 + 12
3x = 186
x = 186 : 3
x = 62
Multiply. √3 ⋅ 2√2 ⋅ 5√8 ⋅ √18 Enter your answer, in simplest radical form, in the box.
Answer:
120√6
Step-by-step explanation:
Simplify the 5√8 to 2√2
simplify the √18 to 3√2
so it would be √3 * 2√2 * 5 * 2√2 * 3√2
when a square root of an expression is multiplied by itself:
√3 * 2 * 2* 5 * 2 * 3√2
so as we calculate it, 2 * 2* 5 * 2 * 3 = 120 and √2 * √3 = 6
[tex]\sqrt3\\2\sqrt2\\5\sqrt8=5\sqrt{4\cdot2}=5\sqrt4\cdot\sqrt2=5(2)\sqrt2=10\sqrt2\\\sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2\\\\\sqrt3\cdot2\sqrt2\cdot5\sqrt8\cdot\sqrt{18}=\sqrt3\cdot2\sqrt2\cdot10\sqrt2\cdot3\sqrt2\\\\=(2\cdot10\cdot3)(\sqrt3\cdot\sqrt2\cdot\sqrt2\cdot\sqrt2)=60\sqrt{3\cdot2}\cdot\sqrt{2\cdot2}\\\\=60\sqrt6\cdot\sqrt4=60\sqrt6\cdot2=(60\cdot2)(\sqrt6)\\\\=\boxed{120\sqrt6}[/tex]