Answer:
Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up
Step-by-step explanation:
The computation of the time taken is as follows:
Let us assume the Ray time be t
So his sister time would be t - 10
Since Ray distance is 2t
So his sister distance is 6(t - 10) = 6t - 60
As the distance is the same
So, the following equation must be made
2t = 6t - 60
-4t = -60
t = 15
Therefore Ray walks 15 minutes prior to his sister and walk for 5 minutes to catches up
log, 7 1/2
Solve in exponential form
Answer:
7 = x^1/2.
Step-by-step explanation:
logx 7 = 1/2
Converting to exponential form ( the value of the log is the exponent and x is the base):
7 = x^1/2
what is 1 17/8 + 1 1/4 =
Answer:
39/8
Step-by-step explanation:
9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4
Step-by-step explanation:
0.0660%2/33/4hope it's right :)
The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck
Answer:
The area of the deck is of 146.14 squared units.
Step-by-step explanation:
Regular hexagon:
A regular hexagon has 6 sides, all with the same measure.
Perimeter of a regular hexagon:
The perimeter of a regular hexagon with side x is given by:
[tex]P_h = 6x[/tex]
Area of a regular hexagon:
The area of a regular hexagon with side x is given by:
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]
It has a perimeter of 45 units.
This means that:
[tex]6x = 45[/tex]
[tex]x = \frac{45}{6}[/tex]
[tex]x = 7.5[/tex]
What is the are of the deck
[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]
The area of the deck is of 146.14 squared units.
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Simplify the expression 3s - 3s 35 - 3s =
Answer:
6s-35
Step-by-step explanation:
not sure
Solve the given equation
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
What is -1/2+-1/5+-5x+3/10+3/2=
Answer:
-5x + 11/10
Step-by-step explanation:
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.
and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.
answer key. y=7 e=3 s=5 a=4 9=u i=1 o=0 z=2 g=6 8=b.
Answer:
the first easy assignment for aii the students
the first day of school is go in to be in a while
Step-by-step explanation:
Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?
Answer:
700 programs
Step-by-step explanation:
Given that :
Fixed cost = $400
Variable cost = $3 per program
Right to sell fee = $1000
Sales price per program = $5
Let number of programs sold = x
In other to break even, expense = revenue
(Fixed cost + variable cost per program + right to sell fee) = sales price per program
(400 + 3x + 1000) = 5x
1400 + 3x = 5x
1400 = 5x - 3x
1400 = 2x
1400 / 2 = x
x = 700
Number of programs to be sold in other to break even = 700
Please help with this I really need it
Answer:
Step-by-step explanation:
21+15a distributive property equavilent expression
10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain
Answer:
60mm or 6cm
Step-by-step explanation:
108mm - 48mm = 60mm
Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages
Answer:
the probability that sales will be less than 81,000 packages is 0.6681
Step-by-step explanation:
Given that;
Average sales μ = 87,000
standard deviation σ = 4,000
x' = 81,000
P( x < 81,000) = ?
so
P( x < 81,000) = P( x - μ / σ )
we substitute
P( x < 81,000) = P( 81,000 - 87000 / 4000 )
P( x < 81,000) = P( - 6000 / 4000 ) = -1.5
from table;
P( z < 1.5 ) = 0.6681
Therefore the probability that sales will be less than 81,000 packages is 0.6681
x/6-5=-13 .............................. . . . .
Answer:
-48
Step-by-step explanation:
Answer:
x=-48
Step-by-step explanation:
x/6-5=-13 Get x by itself
+5 +5
x/6=-8 You can multiply 6 times -8 to find x
x=-48
how we represent decimal number into hexadecimal
9514 1404 393
Explanation:
In base 10, the digits we use to represent numbers are 0 to 9. Each location in a base-10 number has a place-value. That is, the value of the digit is dependent upon its place in the number.
Any number in base 10 can be written in expanded form like this:
8765.432
= 8·10³ +7·10² +6·10¹ +5·10⁰ +4·10⁻¹ +3·10⁻² +2·10⁻³
We hope you recognize that in this form, the place value of a digit is a power of the base, and that those powers increase to the left and decrease to the right. The "units" place has a power of 0.
__
Hexadecimal works the same way. In that base-16 number system, the digits 0-9 and A-F are used. The corresponding decimal values are ...
A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
As above, an expanded hexadecimal number would use powers of the number system base:
A73B.16E
= 10·16³ +7·16² +3·16¹ +11·16⁰ +1·16⁻¹ +6·16⁻² +14·16⁻³ . . . (all numbers decimal)
_____
The method of converting a number from hexadecimal is generally to evaluate the expanded form, as just shown. (The base-10 value of the number shown is 42,811.08935546875.)
There are a number of methods for converting numbers to hexadecimal. For integers, one can work right to left, with each successive digit of the hex number being the remainder from division by 16. The quotient is then used for developing further digits to the left.
Example:
9243/16 = 577 11/16
577/16 = 36 1/16
36/16 = 2 4/16
9243₁₀ = 241B₁₆
In the above, we have identified the base of the numbers being used with a subscript. If the base is understood, that is unnecessary. (However, it is useful in ambiguous cases.)
__
Some calculators have modes for converting and/or calculating with hexadecimal integers. They are generally limited to 48 bits (12 hex digits) or less. I have not seen any that convert or calculate fractions in non-decimal bases. There may be apps or web products that will do fraction conversion—generally for the purpose of showing you the IEEE-754 representation used internally by digital computers.
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
A division problem divides a 3-digit number by a 1 digit number. The quotient is 307 r3. What could the division problem be?
Answer:
There is no solution to this problem.
Step-by-step explanation:
The 1 digit number cannot be 1, since there would be no remainder.
The 1 digit number cannot be 2, since the remainder could be 0 or 1.
The 1 digit number cannot be 3, since the remainder could be 0, 1, or 2.
So, the 1 digit number must be greater than 3. Let's start with 4. Since the quotient is 307 (remainder 3), 4 x 307 is already more than 3 digits.
Freddie made the number line below to model the laps he walks around a track at his
school. He walks a total of 1} miles. Each lap is į mile. How many laps does Freddie walk
around the track?
Answer:
On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.
Step-by-step explanation:
Which is the most common age
Answer:
57, the number repeats the most in the chart
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.
Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50
What is the unit rate in this relationship?
Step-by-step explanation:
fresco didn't Divo ratify jdndodnswjskd ksosbwjw
Consider cookie recipe in which recups o chocolate chips are needed to make 25 cookies. Lara wants to double the number of
consecues of chocoches should she use?
Question:
Consider a cookie recipe in which 1 1/2 cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?
Answer:
[tex]Cups = 3[/tex]
Step-by-step explanation:
Given
[tex]Cups = 1\frac{1}{2}[/tex]
[tex]Cookies = 25[/tex]
Required
Number of cups when the cookies is doubled
When [tex]Cookies = 25[/tex], [tex]Cups = 1\frac{1}{2}[/tex]
So, when the number of cookies is doubled, the number of cups will also be doubled.
i.e.
[tex]Cookies = 25*2[/tex]
[tex]Cookies = 50[/tex]
and
[tex]Cups = 1\frac{1}{2} * 2[/tex]
Convert to improper fraction
[tex]Cups = \frac{3}{2} * 2[/tex]
[tex]Cups = \frac{3* 2}{2}[/tex]
[tex]Cups = \frac{6}{2}[/tex]
[tex]Cups = 3[/tex]
i.e. 3 cups are needed
Using the equation shown, which is the best estimate of x?
x2 = 315
a)between 17 and 18
b)between 53 and 54
c)between 78 and 79
d)between 157 and 158
Answer:
a)
Step-by-step explanation:
[tex]\sqrt{315}[/tex] is approximately 17.8
17² = 289
18² = 324
315 is between 289 and 324
The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a widespread number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given square roots,√315
The value of √91 is 17.74823935
The whole number less than 17.74823935 is 17 and greater than 17.74823935 is 18.
Thus, 17 < 17.74823935< 18
Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".
For more about the number system,
brainly.com/question/22046046
#SPJ5
3. The two lines graphed on the coordinate grid each represent an equation.
y
O
(-2, 6)
(3,5)
(-6, 2)
X
O
O
9-8-7-6 -5 -3 2 -1
12
4 5 6
7 8 9
K-6, -6)
CLEAR
Which ordered pair represents a solution to both equations?
Answer:
Step-by-step explanation:
(-4,0)
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
Solve the following inequality:
x/0.25 > 2
Answer:
x>0.5
Step-by-step explanation:
multiply by 0.25 on both sides
x>0.5
it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?
Suppose that the people in a certain city are catching cold. It is observed that after one week, 40% of the people who were sick are still sick. Of the people who were well, 30% are sick after one week. If, at some particular time, 20% of the people are ill, find the proportion of people who are sick after two weeks
Answer:
the proportion of people who are sick after two weeks is 33.2%
Step-by-step explanation:
Given the data in the question;
Let there be 100 people in the city;
20% of them are sick( 20/100 × 100) = 20 people
so 80% are fine = ( 100 - 20 ) = 80
after one week, 40% of the people who were sick are still sick
40/100 × 20 = 8%
of the 80% of people who were well, 30% got sick after one week
30/100 × 80 = 24%
so after one week. 8% + 24% = 32% of the people were sick,
hence 68% are fine.
now, after second week 40% of sick and 30% of not sick people previously will be sick
∴ Total people who are sick after two weeks
⇒ 40/100 × 32 + 30/100 × 68
= 12.8 + 20.4
= 33.2
Therefore, the proportion of people who are sick after two weeks is 33.2%
Solve and Share
Tyrone partitioned a rectangle into thirds. Sally partitioned a rectangular of the same size
into fourths. How could you partition a rectangle of the same size so that you see both
thirds and fourths?
Answer:
Step-by-step explanation:
The least common multiple of 3 and 4 is 12. Divide the rectangle in twelfths.
⅓ = 4/12
¼ = 3/12