A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
Which rule describes the translation?
O (x, y) = (x – 8, y - 3)
O (x, y) - (x - 3, y+8)
O (x, y) = (x + 8, y-3)
O (x, y) - (x + 3, y + 8)
Answer:
c
Step-by-step explanation:
translations assignment
Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?
9514 1404 393
Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
If you pay $1.49 a pound for chicken and 2/3 of the weight is bone. How much are you paying per pound of meat?
9514 1404 393
Answer:
$4.47 per pound
Step-by-step explanation:
Your cost is ...
$1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb
The ratio of girls to boys in Lizas classroom is 5 to 4 how manny girls are in her classroom if there is a total of 27 students.
Add the ratios: 5 + 4 = 9
Divide total students by 9:
27/9 =3
Girls are listed first so the 5 part of the ratio is girls.
Multiply 5 by the 3 from above:
5 x 3 = 15
There are 15 girls.
Answer:
There are 12 girls in the classroom because if you take 4+4+4=12 and you do the same with 5 so 5+5+5=15 then add them together you get 27. So, therefore, your answer would be 12
Step-by-step explanation:
plsss help me solve question 2
4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer
Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
Find the solution of the system of equations.
6x – 3y = -30
3x – 6y = 12
Answer:
Step-by-step explanation:
6x – 3y = -30
3x – 6y = 12
Multiply the top equation by 2 and write the bottom equation under it.
12x - 6y = - 60
3x - 6y = 12 Subtract
9x = - 72 Divide by 9
x = - 72/9
x = - 8
6x - 3y = - 30
6*-8 - 3y = -30
-48 - 3y = - 30 Add 48 to both sides.
-3y = - 30 + 48
-3y = 18 Divide by -3
y = -18/-3
y = -6
Help someone please
Answer:
a) 2/3
b) 1/9
c) 52/99
d) 2/11
e) 743/999
f) 29/111
Step-by-step explanation:
Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.
Then simplify (if possible).
a) 6/9 = 2/3
b) 1/9
c) 52/99
d) 18/99=2/11
e) 743/999
f) 261/999=29/111
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
Answer:
The answer is y = 4x - 1.
Step-by-step explanation:
☆The equation we'll be using: y = mx + b
☆Since we already have the slope. we have to find the y-intercept.
☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]
☆Using the information we gathered and was given, we just to put them together.
☆[tex]y = 4x - 1[/tex]
Answer:
y=4x-1
Step-by-step explanation:
helppppppppppppppppppppppppppp
Please solve -6+7x=50
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6+7x=50
Step 1: Simplify both sides of the equation.
7x−6=50
Step 2: Add 6 to both sides.
7x−6+6=50+6
7x=56
Step 3: Divide both sides by 7.
7x/7 = 56/7
x=8
have a wonderful day
Name the integers from the list below.
2 , -4,0, 32, 5.31, V70, V7,31, 1.3636636663...
Answer:
The first 4
Step-by-step explanation:
any that are whole numbers
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
Solve the Equation
P + 75 = 100.
Answer:
P= 25 so
25+75= 100
Step-by-step explanation:
100-75
Answer:
P=25
Step-by-step explanation:
P+75=100
-75 -75
_________
P=25
write the number seventeen thousand and forty-eight in figures
Answer:
17 048
hi lets be freinds pleeease
Step-by-step explanation:
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
Simplify y ^2 over 6y^5.
Answer:
1/6y^3
Step-by-step explanation:
Answer:
1/6y^3
Step-by-step explanation:
cancel the common factor of y^2 and y^5
⅛ ÷ 2
Please help! I need to remember this!
Answer:
1/16
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
For this type of problem, I do KCF (Keep, Change Flip)
⅛ ÷ 2
Keep the fraction (⅛)
Change the sign to a multiplication (×)
Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])
Now we have a new expression
[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]
Now we multiply from across
The numerator × Numerator
The denominator × denominator
1 × 1 = 1
8 × 2 = 16
Our answer will be....
[tex]\frac{1}{16}[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Alyssa's cat weighs 12 pounds, which is 3/8 of the weight of her dog. Use the equation 3/8d=12 to find the weight of Alyssa's dog.
Answer:
0.5 pounds!
Step-by-step explanation:
I really need help with this so plz give a good answer
Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X
Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
Q. One yard equals three feet. How many
yards are there in 63 feet? Type your
answer in the box
yards.
Answer:
21 yards
Step-by-step explanation:
There will be 21 yards in 63 feet of the measurement.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that one yard is equal to three feet. There are 63 feet of measurement.
The value of 63 feet in yards will be calculated as:-
1 yard = 3 feet
1 feet = 1 / 3 yards
63 feet = ( 63 / 3 ) yards
63 feet = 21 yards
Therefore, there are 21 yards in 63 feet of the measurement.
To know more about an expression follow
https://brainly.com/question/358500
#SPJ2
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
The two trapezoids below are similar. What is the length of EF
Answer:
answer is 6
Step-by-step explanation:
i know answer is 2 weeks late
Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35
Answer:
5/6, 7
Step-by-step explanation:
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly correctly without making mistakes
Answer:
648 cups, 3 fluid ounces
Step-by-step explanation:
You need to know that 1 cup = 8 fluid ounces (fl. oz).
convert to fl. oz:
1296 cups = 10368 fl.oz.
total fl.oz. = 10368+6 = 10374
10374 / 2 = 5187 fl.oz.
= 648 cups and 3 fluid ounces
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answer:
it's just 8/20 so shade 8/20 of the circle
John has two different sugar syrups. Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water. How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
Answer:
Volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts .
Step-by-step explanation:
Syrup A : 2 parts sugar , 8 parts of water .
Total = 10 parts
Syrup B : 3 parts sugar , 5 parts of water .
Total = 8 parts .
Mixture required 280 quarts , 3 parts sugar , 7 parts water
In 280 quarts , sugar = 280 x 3 / ( 3 + 7 )
sugar = 84 parts
Let volume of syrup A be x , volume of syrup B = 280 - x
sugar A = 2 x / 10 = 0.2 x
sugar B = 3 ( 280 - x ) / 8 = .375 ( 280 - x )
Total sugar = .2 x + .375 ( 280 - x ) = 84 .
.2 x + 105 - .375 x = 84
105 - 84 = .375 x - .2 x = .175 x
.175 x = 21
x = 21 / .175 = 120
Volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts .
John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
Given that,
John has two different sugar syrups.
Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water.
We have to determine,
How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
According to the question,
Syrup A: 2 parts sugar, 8 parts of water.
Total number of parts = 10 parts
Syrup B : 3 parts sugar, 5 parts of water.
The total number of parts = 8 parts.
The mixture required 280 quarts, 3 parts sugar, 7 parts water,
In 280 quarts, parts of sugar are,
[tex]= \dfrac{280 \times 3 }{ ( 3 + 7 )}\\\\= \dfrac{280 \times 3}{10}\\\\= 84[/tex]
Let the volume of syrup A be x,
And the volume of syrup B be 280 - x
[tex]Sugar\ A = \dfrac{2x}{10} \\\\Sugar \ A = 0.2 x[/tex]
[tex]Sugar \ B = \dfrac{3 ( 280 - x ) }{8 }\\\\Sugar \ B= .375 ( 280 - x )[/tex]
The total amount of sugar is,
[tex]0.2 x + 0.375 ( 280 - x ) = 84 \\\\0.2 x + 105 -0 .375 x = 84\\\\105 - 84 = 0.375 x - 0.2 x = 0.175 x\\\\ 0.175 x = 21\\\\x = \dfrac{21}{0.175}\\\\x = 120[/tex]
Therefore,
The volume of syrup A = 120 quarts
Volume of syrup B = 280 - 120 = 160 quarts
Hence, John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.
For more details, refer to the link.
https://brainly.com/question/11921451
HOW DO YOU GRAPH USING LINER PROBLEMS
Answer:
You need to plot points onto the graph
Step-by-step explanation:
It takes only 2 points to draw a graph of a straight line. In other words, if we can find two points that satisfy the equation of the line, then the line can be accurately drawn. But it can be more than 2 points as well. IT CANNOT BE 1. Just 1 point can fo anything at all. You cannot make a linear line or a line in general with just one point. You need 2 or more to make a line.