Answer:
The age of Cassandra is 32 years and Seymour is 64 years old.
Step-by-step explanation:
Let the age of Cassandra be x.
The age of Seymour = 2x
If 16 is added to Cassandra’s age and 16 is subtracted from Seymour’s age, their ages will be equal.
x + 16 = 2x - 16
2x - x = 16 + 16
x = 32 years
x = 32 years
The age of Seymour = 2x = 2 × 32 years = 64 years
The age of Cassandra is 32 years and Seymour is 64 years old.
The solution of a division problem is called a
The solution of a division problem is called a quotient.
An airplane climbs at an angle of 11 degrees with the ground. Find the distance it has traveled when it has attained an altitude of 400 feet. Using sin, cos, and tan.
The distance traveled by the airplane to attain an altitude of 400 feet is approximately 2164.8 feet.
Explanation:To find the distance traveled by the airplane, we can use trigonometric functions.
Let's use the side opposite the angle as the altitude (400 feet) and the hypotenuse as the distance traveled.
Using the sine function, we can solve for the distance:
sin(angle) = Opposite / Hypotenuse
sin(11 degrees) = 400 feet / x
x = 400 feet / sin(11 degrees)
Using a calculator, we find that x ≈ 2164.8 feet.
Therefore, the distance traveled by the airplane to attain an altitude of 400 feet is approximately 2164.8 feet.
The distance it has traveled when it has attained an altitude of 400 feet is 2096.34 feet.
Given, Climbing angle [tex](\(\theta\))[/tex] = 11°
Altitude (opposite side) = 400 feet
sin(angle)= opposite/hypotenuse
sin(11°)= 400/d
d=400/ sin(11°)= 0.1908/400 ≈ 2096.34
The airplane has traveled approximately 2096.34 feet when it has attained an altitude of 400 feet at an angle of 11° with the ground.
Mathias and his brother divided 2,008 marbles equally. HELP PLEASE!!!! LOTS OF POINT I PROMISE U!!
Answer:
each got 1,004 marbles each
Step-by-step explanation:
if you divide 2,008 by 2, you get 1,004
Answer:
1004
Step-by-step explanation:
hope this helps
120 books increased by 55%
Answer:
120 books increased by 55% is 186.
Step-by-step explanation:
120 x .55 (.55 is the 55%) = 66. Then, add 120 and 66, and which you get 186.
Answer: The total of books increased would be 186 books.
Step 1.
120* (55/100)= 66
Step 2.
120+ 66= 186
And our final answer is 186 books.
Hope I could help! :)
Please factorise these
In the first quarter, Owen passed the football 1 4 yards 1 foot 7 inches . On his second pass , he threw 16 yards 2 feet 19 inches .How far did he pass the football altogether ? Convert the answer to larger units whenever possible.
Answer:
31 yards 2 feet 5 inches
Step-by-step explanation:
14 yd 1 ft 7 in
+ 16 yd 2 ft 19 in
-------------------------
30 yd 3 ft 26 in
26 inches is 2 feet and 2 inches ---> 30 yd 5 ft 2 in
5 feet is 1 yard and 2 feet ---> 31 yd 2 ft 2 in
Answer:
31 yards 2 foot 2 inches
Step-by-step explanation:
To know the full distance, we need to sum both distances unit by unit. That means, we sum yards with yards, foot with foot and inches with inches. Then we converted to the larger unit whenever possible, starting from the smaller one.
Total yards: 14 + 16 = 30 yards
Total foot: 1 + 2 = 3 foot
Total inches: 7 + 19 = 26 inches
As 12 inches are 1 feet, 12*2 = 24 inches are 1*2=2 foot. Therefore, as 26 = 12*2 + 2, 26 inches are 2 foot and 2 inches.
Now we have 3 + 2 = 5 foot.
As 3 foot are 1 yard, 5 foot are 1 yard and 2 foot.
Now we have 30 + 1 = 31 yards.
Getting all together, the full distance is 31 yards 2 foot 2 inches
Someone who can help would be great.
Answer:
x=5
Step-by-step explanation:
In a square, the diagonals are equal.
4x+17 = 12x-23
Subtract 4x from each side.
4x-4x+17 = 12x-4x-23
17 = 8x-23
Add 23 to each side
17+23 = 8x-23+23
40 = 8x
Divide each side by 8
40/8 = 8x/8
5 =x
the bike is on sale for $130. if the original price of the bike $200, what is the percent discount ?
A math problem asks when two brothers will have saved the same amount of money. When Marta writes and solves the equation, her final step is 3 = 7. Assuming Marta has done everything correctly, how should she interpret this solution? A. The brothers started with the same amount of money. B. The brothers will never have the same amount of money. C. The brothers will have the same amount of money in 3 years. D. The brothers will have the same amount of money in 7 – 3 = 4 years.
Answer:
B. The brothers will never have the same amount of money.
Step-by-step explanation:
When we get to the final step and get 3=7, which we know it not true, this means there is no solution.
3.25+0.5x+1 1/3 + 5/6 x=5 11/12
what is x?
PLZ HELP DUE SOON
Answer: x = 0
Step-by-step explanation:
The first step would be to convert everything to one form. I'll do the fractions, since 1/3 is hard to represent in decimal.
3 1/4 + 1/2x + 1 1/3 + 5/6x = 5 11/12
Now, the fractions will be converted via GCF. 12 is easily divisible by 4, 2, 3 and 6, so that I'll be the denominator used.
3 1/4 -> 3 3/12
1/2x -> 6/12x
1 1/3 -> 1 4/12
5/6x -> 10/12x
5 11/12 will stay the same.
The new equation is:
3 3/12 + 6/12x + 1 4/12 + 10/12x = 5 11/12
Combine like terms:
4 7/12 + 1 4/12x = 5 11/12
Subtract 4 7/12 from both sides
1 4/12x = 1 4/12
Divide both sides by 1 4/12x
x= 0
Answer:
x= 1
Step-by-step explanation:
Convert 5\frac{11}{12}5
12
11
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
5×12+11
2 Simplify 5\times 125×12 to 6060
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
60+11
3 Simplify 60+1160+11 to 7171
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
71
4 Simplify \frac{5}{6}x
6
5
x to \frac{5x}{6}
6
5x
3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1
3
1
+
6
5x
=
12
71
5 Convert 1\frac{1}{3}1
3
1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
1×3+1
+
6
5x
=
12
71
6 Simplify 1\times 31×3 to 33
3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
3+1
+
6
5x
=
12
71
7 Simplify 3+13+1 to 44
3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
4
+
6
5x
=
12
71
8 Simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+
3
4
+
6
5x
to \frac{13.75}{3}+\frac{4x}{3}
3
13.75
+
3
4x
\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}
3
13.75
+
3
4x
=
12
71
9 Simplify \frac{13.75}{3}
3
13.75
to 4.5833334.583333
4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+
3
4x
=
12
71
10 Subtract 4.5833334.583333 from both sides
\frac{4x}{3}=\frac{71}{12}-4.583333
3
4x
=
12
71
−4.583333
11 Simplify \frac{71}{12}-4.583333
12
71
−4.583333 to \frac{4}{3}
3
4
\frac{4x}{3}=\frac{4}{3}
3
4x
=
3
4
12 Multiply both sides by 33
4x=\frac{4}{3}\times 34x=
3
4
×3
13 Simplify \frac{4}{3}\times 3
3
4
×3 to \frac{12}{3}
3
12
4x=\frac{12}{3}4x=
3
12
14 Simplify \frac{12}{3}
3
12
to 44
4x=44x=4
15 Divide both sides by 44
x=1
in one u.s. city, the taxi cost is $3 plus $0.50 per mile. if you are traveling from the airport, there is an additional charge of $4.00 for tolls. how far can you travel from the airport by taxi for $19.50?
Answer:
You can travel 25 miles
Step-by-step explanation:
19.50-4.00=15.5
15.5-3=12.5
12.5÷0.5=25
What is the value of arccos (-1/2)
Answer:
120° & 240° (given the angles are between 0° and 360°)
Step-by-step explanation:
We want to find [tex]arccos(-\frac{1}{2})[/tex].
This means we want to know the angle(s) for which cosine has a value of [tex]-\frac{1}{2}[/tex].
The basic acute angle that has a cosine of [tex]\frac{1}{2}[/tex] is 60°. But we want to know NEGATIVE [tex]\frac{1}{2}[/tex]. So in which quadrants is cosine negative? Second and Third
The rule to find 2nd quadrant angle with known acute angle is: 180 - αThe rule to find 3rd quadrant angle with known acute angle is: 180 + αWhere α is the basic acute angle (in our case it is 60°)
So 2nd quadrant angle is 180 - 60 = 120°
and 3rd quadrant angle is 180 + 60 = 240°
Answer:
120°
Step-by-step explanation:
arccos means the inverse of cosine.
arccos (-1/2) ⇒ We can rewrite this equation as;
cosФ = 1/2 Find the value of Ф.
Ф = arccos (-1/2) ⇒ This can be calculated directly from the calculator.
arccos (-1/2) = 120°
or arccos (-1/2) = (180 + 60)
= 240°
You can have more than one value of arccos (-1/2) since the cosine is negative in the second and third quadrant.
Draw an array to represent the problem 3x9
Answer:
27
Step-by-step explanation:
draw 3 groups of 9 somethings or 9 groups of 3 somethings
In the 3x9 array representation there are 3 rows and 9 columns, each initialized with the value 0
Since we know that,
A set of components of the same data type are stored collectively in contiguous memory regions in an array, which is a form of data structure. To organise data sets in a way that is simple to sort and search, computer programmers employ arrays in their programmes. They can make a programme operate more quickly and are more effective at storing data than individual variables.
Sure, here's a simple array that represents a 3x9 grid:
[tex]\left[\begin{array}{ccccccccc}0&0&0&0&0&0&0&0&0\\0&0&0&0&0&0&0&0&0\\0&0&0&0&0&0&0&0&0\end{array}\right][/tex]
In this array, there are 3 rows and 9 columns, each initialized with the value 0.
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Brainliest + Points!
Explain please!
The area of a checker board is 64 square units. 32 of the squares are red, and the other 32 are black.
If you used it as a dart board, what is the probability that a dart will land in a black square?
A.
0.75
B.
0.50
C.
0.32
D.
0.25
Answer:
B
Step-by-step explanation:
If you have 32 black squares and 32 red squares that means you have 64 squares. Since 32 is half of 64 you have a 50% chance to land on a black square.
Hope This Helps!
The probability that a dart will land in a black square is 0.50.
What is the probability?The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
Given that the area of a checker board is 64 square units. 32 of the squares are red, and the other 32 are black.
The area of checker board is twice the area of black.
The probability that a dart will land in black square
= 1 / the number of possible squares.
= 1/2
= 0.50
Therefore, the probability that a dart will land in a black square is 0.50.
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Which coefficient before hydrogen (H2) balances this chemical equation? N2 + __H2 2NH3 A. 2 B. 3 C. 4 D. 5
Answer:
Step-by-step explanation:
The answer to this question is 3
Hope this helps
To balance the chemical equation N2 + __H2 -> 2NH3, we need to have the same number of each type of atom on both sides. We have 2 Nitrogen atoms on each side of the equation, but the Hydrogen atoms are unbalanced. By placing a coefficient of 3 before H2, we get a balanced chemical equation; N2 + 3H2 -> 2NH3. Hence, the correct answer is option B, 3.
Explanation:In order to balance a chemical equation, the same number of each type of atom must be present on both sides of the equation. In the initial chemical equation given, N2 + __H2 -> 2NH3, we have 2 Nitrogen atoms on both sides which is balanced. However, for Hydrogen we have 2 Hydrogen atoms on the left side (from H2) but 6 on the right side (as each NH3 molecule has 3 Hydrogen atoms). Therefore, we need to balance the Hydrogen atoms.
Putting a coefficient of 3 before H2 on the left side of the equation, we will have 3 * 2 = 6 Hydrogen atoms. This balances the Hydrogen atoms on both sides of the equation. Hence, the balanced chemical equation becomes N2 + 3H2 -> 2NH3. Therefore, the correct answer is B. 3.
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Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same store for a total of $40.90 how much does one lemon cost. .... helppppp. How Much does 1 plum cost?
simplify the expression. h^4(h^3)^-6
Answer:
The answer is 1/h^14
Step-by-step explanation:
h^4 (h^3)^-6
= h^4/h^18
= 1/h^14
Bess is trying to solve a puzzle where she has to figure out two numbers, x and y. The sum of twice x and 3 times y is less than 6. Also, y must be greater than 1 less than twice the x. Which graph represents the possible solutions? Graph the inequalities 2 x plus 3 y less than 6 and y greater than 2 x minus 1 Graph the inequalities 2 x minus 3 y less than 6 and y greater than 2 x minus 1 Graph the inequalities 3 x minus 2 y less than 6 and y greater than 3 x minus 2 Graph the inequalities 3 x minus 5 y less than 6 and y greater than 3 x plus 2
Answer:
The correct option is 1.
Step-by-step explanation:
Let the two numbers are x and y.
Condition 1: The sum of twice x and 3 times y is less than 6.
[tex]2\times x+3\times y<6[/tex]
[tex]2x+3y<6[/tex] ..... (1)
Condition 2: y must be greater than 1 less than twice the x.
[tex]y>2\times x-1[/tex]
[tex]y>2x-1[/tex] .... (2)
Therefore the graph of inequality (1) and (2) represent the all possible solutions.
Option 1 is correct. The graph of above inequality are shown below.
Answer:
the answer is A option 1
Step-by-step explanation:
On the first day 60% of the 300 tickets were sold how many tickets were sold the day
Answer:
180
Step-by-step explanation:
60% of 300 tickets equals?
(60/100) * 300 = x
0,6 * 300 = x
180 = x
Answer:
180 tickets
Step-by-step explanation:
We want to find 60 percent of 300
Change 60 percent to a decimal
60% = .6
.6 * 300 = 180
Find the missing term (need help)
Answer:
x² - 10x + 34
Step-by-step explanation:
given the roots are x = 5 ± 3i then the factors are
(x - (5 + 3i))(x - (5 - 3i))
= (x - 5)² - 9i² ← expand (x - 5)²
= x² - 10 x + 25 + 9 → [ i² = - 1 ]
= x² - 10x + 34
the missing term is 10x
The freshman class at Central High totals 522 students, with 100 more girls than boys. Which equation can be used to find the number of boys?
Answer:
The required equation is (1) and the number of boys is 211.
Step-by-step explanation:
Let the number of boys be x.
It is given that there are 100 more girls than boys. It means the number of girls is x+100.
The total number of students is 522.
Number of boys + Number of girls = 522
[tex]x+(x+100)=522[/tex] ... (1)
Combine like terms.
[tex]2x+100=522[/tex]
Subtract 100 from both the sides.
[tex]2x+100-100=522-100[/tex]
[tex]2x=422[/tex]
Divide both sides by 2.
[tex]x=211[/tex]
Therefore the required equation is (1) and the number of boys is 211.
Answer:
[tex]2x+100=522[/tex]
Step-by-step explanation:
Let the no. of boys be x
We are given that there are 100 more girls than boys.
So, No. of girls = x+100
Total number students = [tex]x+x+100[/tex]
= [tex]2x+100[/tex]
We are given that The freshman class at Central High totals 522 students
So, equation becomes : [tex]2x+100=522[/tex]
Hence an equation can be used to find the number of boys is [tex]2x+100=522[/tex]
What is 16,407 decreased by 8,300
You earned the following scores on five math test:96 92 80 91 and 86 you want to have an average of at least 90 after you take the sixth test.Write and solve an inequality to find the possible score on your sixth test in order to meet your goal
The length of a diagonal of a quadrilateral shaped field Is 48 m And the length of perpendicular dropped on it from the remaining apposite vertices are 16 m and 26 m find the area of the field
Answer:
[tex]1008\text{ m}^2[/tex]
Step by step explanation:
Please find the attachment.
We have been given that the length of a diagonal of a quadrilateral shaped field Is 48 m. The length of perpendicular dropped on it from the remaining apposite vertices are 16 m and 26 m.
We can see from our attachment that diagonal AC divides our quadrilateral field into two triangular fields and AC will be the base of both triangles.
To find the area of our given quadrilateral we will find the areas of both triangles and add the areas.
Let us find area of triangle ABC with base 48 m and height 26 m.
[tex]\text{Area of triangle}=\frac{1}{2}(\text{ Base}\times\text{ Height})[/tex]
[tex]\text{Area of triangle ABC}=\frac{1}{2}\times 48\times 26[/tex]
[tex]\text{Area of triangle ABC}=24\times 26[/tex]
[tex]\text{Area of triangle ABC}=624[/tex]
Therefore, the area of triangle ABC will be 624 square meters.
Now let us find area of triangle ADC with base 48 m and height 16 m.
[tex]\text{Area of triangle ADC}=\frac{1}{2}\times 48\times 16[/tex]
[tex]\text{Area of triangle ADC}=24\times 16[/tex]
[tex]\text{Area of triangle ADC}=384[/tex]
Therefore, the area of triangle ADC will be 384 square meters.
Now let us add areas of triangles ABC and ADC to get the area of our quadrilateral ABCD.
[tex]\text{Area of quadrilateral ABCD}=384+624[/tex]
[tex]\text{Area of quadrilateral ABCD}=1008[/tex]
Therefore, the area of quadrilateral shaped field will be 1008 square meters.
Find the difference 5/5 - 2/10
Answer:
4/5
Step-by-step explanation:
5/5-2/10
10/10-2/10
8/10
4/5
Answer:
4/5 or 0.8
Im crying just listening to the saddest song on The Future Diary and that i ended the anime it was so sad the ending im just crying seeing Yuno and Yuki and i keep listening to "here with you" ost.
x ÷ 0.4 = 2 1/9 ÷ 3 1/6
x = __
Please Help!
X/0.4 = 10x/4
21/9÷31/6 = 21•6/31•9
so solving the equation gives
X=84/465
Answer:
Step-by-step explanation:
19/9÷19/6=2/3
then we have:
x÷0.4=2/3
×0.4. ×0.4
x=4/15
Boom shaka laka
express 0.0346 as a fraction
173/5000, I'm not good with fractions but you might have to break it down or something? But that's 0.0346 as a fraction.
The equivalent value of the fraction is A = 346/10000
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
where the value of p = 346
Let the denominator of the fraction be q
where q = 10000
Now , the fraction is A = p/q
On simplifying the expression , we get
So , the left hand side of the equation is equated to the right hand side by the value of p/q
A = 346 / 10000
A = 0.0346
On further simplification , we get
A = 0.0346
Therefore , the value of A = 0.0346 = 346/10000
Hence , the expression is A = 346/10000
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A cyclist can travel 29.6 miles in 2 hours. At this rate, how far can the same cyclist travel in 45 minutes?
Answer:
x=11.1mi
Step-by-step explanation:
29.6mi x
120 min 45 min
cross multiply and divide
120x = 45*29.6
x = 45*29.6/120
x = 11.1 mi
There is your answer!
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I need help with number 9 please
Assuming that the rectangle is split evenly, we see three portions, two of which are shaded.
100% / 3 = 33.3% * 2 = 66.6% shaded
9m-4=-3m+5+12m how do you solve this equation
Answer:
Step-by-step explanation:
9m-4 = -3m + 5 + 12m
-9m -9m
-4= -3m + 5 + 12m - 9m
-5 -5
-9 = m
i believe
To solve the equation, simplify both sides and combine like terms. Subtract 9m from both sides to isolate the variable. There is no solution to this equation.
Explanation:To solve the equation 9m-4=-3m+5+12m, we need to simplify both sides and combine like terms.
Starting with the left side, we have 9m-4. On the right side, we have -3m+5+12m. Combining like terms on both sides, we get 9m-4=9m+5. We can then subtract 9m from both sides to isolate the variable, giving us -4=5.
Since -4 is not equal to 5, there is no solution to this equation.
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