Answer:
Step-by-step explanation:
→Perimeter (P) = 2×(L+W) Perimeter = 48m
But Length = 2 × Width
∴ P = 2×( 2W + W)
= 2×(3W)
48 = 6W
Divide both sides by 6
[tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W
∴Width (W) = 8m
→This means Length = 2W
= 2×8m
L = 16m
→Area of a rectangle = L × W
= 8m × 16m
∴ Area of the rectangular field= [tex]128m^{2}[/tex]
A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?
A. 2x + 3y ≥ 30, 6x + 4y ≤ 120
B. 2x + 3y ≥ 30, 6x + 4y ≥ 120
C. 2x + 3y ≤ 30, 6x + 4y ≤ 120
D. 2x + 3y ≤ 30, 6x + 4y ≥ 120
The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A woodworking artist makes two types of carvings: type X and type Y.
He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.
His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.
If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.
Then the linear systems of inequalities models this situation will be
2x + 3y ≥ 30 and 6x + 4y ≤ 120
Thus, the correct option is A.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 4 inches. The heights of 10 randomly selected students are 66, 61, 67, 61, 75, 71, 70, 61, 61, and 74
A mean is an arithmetic average of a set of observations. The height of the 9th-grade students will be 66.7±4 inches.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given the height of the 10 selected students is {66, 61, 67, 61, 75, 71, 70, 61, 61, and 74}, also, the standard deviation of the 9th-grade students is 4 inches. Therefore, The mean height in inches of the selected students is,
Mean = (66+61+67+61+75+71+70+61+64)/10 = 66.7inches
Therefore, the height of the 9th-grade students will be 66.7±4 inches.
Learn more about Mean:
https://brainly.com/question/16967035
#SPJ1
Two cars, A and B, are travelling along a straight road and in the same direction. Car B is 20 km
ahead of Car A. Car A is travelling at 60 km · while Car B at 50 km 1. They both start at 12:00
hours. At what time Car A will overtake Car B?
Answer:
2 o'clock
Step-by-step explanation:
Their 'closing speed' is 60 - 50 = 10 km/hr
they have 20 km between them
at closing speed this will take 20 km / 10 km/hr = 2 hours for the cars to meet....this would be at 14:00 or 2 oclock
A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour, what is the rate of the current ?
Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)
Help!!! Please and thank you.
really need help with my aleks
Answer:
(4x -4)° +x° +(6x-3)° = 180°J = 99°K = 64°L = 17°Step-by-step explanation:
The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."
__
equation(4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle
solution for x11x -7 = 180 . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . add 7
x = 17 . . . . . . . . . divide by 11
angle valuesm∠J = (6x -3)° = (6(17) -3)° = 99°
m∠K = (4x -4)° = (4(17) -4)° = 64°
m∠L = x° = 17°
17) Your parents put $2000 into an account when you were born. This account has an interest rate of 8%
How much money will be in the account on your 18th birthday if the interest is
a) Compounded annually?
b) Compounded continuously?
Answer:
a.......4880
Step-by-step explanation:
b.......180 per year
Raj stacked a box that is 24/100 meter tall on top of a box that is 4/10. How tall are the two boxes when stacked
Answer:
The answer will be 28/110 .
What will be the new function g(x) if f(x)=2x is translated 2 units down and 3 units left?
2 units down means y is decreased by 2
3 units left mean x is decreased by 3
So
for
f(x)=2xThe translation is
f(x)=2(x+3)-2There are 30
in a
Passengers
bus. 2/3 of them are men then
the percentage of women
is ?
Answer:
33.33....
Step-by-step explanation:
If 2/3 of them are men, then 1/3 are women. I/3=0.333....
To find the percent you multiply by 100 and get 33.3333 and you can write then however your system requests a repeating decimal.
Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.
Nurses need to calculate the drip rate, D, in drops per minute for infusions.
They use the formula D =dv/60n where
d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.
A nurse wants to double the time an infusion runs for.
Describe precisely how D changes if n is doubled but d and v do not change.
Answer:
D is halved
Step-by-step explanation:
Given :
D = -dv/60nIf n is doubled :
D' = -dv/60(2n)D' = -dv/120nD' = D/2When n is doubled, D (the drop factor) is half of its original value.
Mr. Clinton chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)
{48, 36, 23, 19, 50, 50, 49, 47, 38, 20}
Answer:
38.0
Step-by-step explanation:
'Mean' is just the average of the 10 scores ....
add them all together and divide by 10
380 / 10 = 38
What is the image point of (1, -2) after a translation right 4 units and down 4 units?
Answer:
Hello!!!!
THE ANSWER: (5, -6)
Please read the explanation... it always helps... trust me...
Step-by-step explanation:
Okkeeeee lets beginnnn....
A translation is when you move a point of shape in a coordinate plane
so a translation of a point to the right means you are moving the point to the right of the coordinate plane meaning the positive side of the x-axis... so in this case you will need to add 4 to the x-coordinate....
simarily to the "down four units"
moving it down means subtraction.... meaning you need to subtract 4 from -2 which gets you -6...
I REALLY HOPE THIS HELPS!!! :)
Volume of 15 ft 13ft and 8ft
Answer: 1560
Step-by-step explanation:
15 x 13 = 195 and 195 x 8 = 1560
help will mark Brainliest
Answer:
C. is the correct answer
Step-by-step explanation:
A. is incorrect because the sequence does not start with 15
B. is incorrect because the pattern increases by 5, not multiplied by 5
C. is correct because all of the even numbers in the pattern do end in 0
D. is incorrect because even numbers don't end in 5's
Hope this helps!
Answer: "Every even-numbered term in the pattern has a 0 in the evens place"
Step-by-step explanation:
We can compare each statement to the pattern and see which ones don't apply.
The first one is not true. We are adding 5, not having a sum of previous numbers.
The second one is not true, it is adding 5. Not 5 times greater.
An even number is a number ending in 0, 2, 4, 6, or 8. This means
that the third option is correct, giving us our answer.
Please help, image below. Thank you!
A radius extends from the center of the circle to the edge.
If J is the center of the circle, then possible radii are JK, JL, JM, and JN.
Of those options, JN is the only one listed as an answer choice.
Answer: Third option, JN
Hope this helps!
Round 82585 to the nearest ten thousand. Enter your answer in the box
below.
Question 3 (2 points)
Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a
haircut for a woman is $44.
Which statement is true about the cost of haircuts?
The statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Therefore, the statement that is true about the cost of haircuts is "On Average, the cost of a man's haircut is $16 less than the cost of a women's haircut".
Learn more about Mean:
https://brainly.com/question/16967035
#SPJ1
Solve this
4 ∙ 7 1/2 ∙ 1 3/5
Step-by-step explanation:
[tex] = 7 \frac{1}{2} .1 \frac{3}{5} [/tex]
[tex] = \frac{ \red{\cancel{15}}}{ \blue{ \cancel{2}}} . \frac{ \blue{\cancel{8}}}{ \red{\cancel{5}}} [/tex]
[tex] = \frac{3}{1} . \frac{4}{1} [/tex]
[tex] = 12[/tex]
[tex] \: [/tex]
Translate the phrase into an algebraic expression the product of W and 9
An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The phrase "the product of W and 9" in the form of an algebraic expression can be written as,
Expression = 9 × W = 9W
Hence, the algebraic expression that can represent the product of W and 9 is 9W.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
use the appropriate conversions listed to convert 8 gallons into pints
2 cups=1 pint
2 pints=1 quart
4 quarts=1 gallon
Question 5 options:
Type right or left in the space.
17.2 is 17.2 units to the (right/left) of zero on the number line.
Answer:
17.2 is 17.2 units to the right of zero on the number line.
Step-by-step explanation:
On a number line positive numbers are on the right of 0 and negative numbers are one the left of 0.
Please mark brainliest :)
Answer: Right
Step-by-step explanation:
All positive numbers are to the right of zero on the number line.
All negative numbers are to the left of zero on the number line.
17.2 is a positive number, so;
17.2 is 17.2 units to the (right/left) of zero on the number line.
On a field trip to the planetarium, three students rode with their parents and the rest were evenly distributed on four buses. If 119 students went to the planetarium, how many were on each bus.
Answer:
29
Step-by-step explanation:
You do 119-3 because 3 students rode with their parents so then you do 116÷4=29
Add.
−4 3/8 + 8 6/7
It should be a mixed number.
Answer:
4 27/56
Step-by-step explanation:
−4 3/8 + 8 6/7
8 6/7−4 3/8
subtract whole numbers 8-4=4
combine fractions 6/7-3/8=27/56
4+27/56
=4 27/56
Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10
Answer: (x +7)^2 +(y +6)^2 = 9
Step-by-step explanation:
The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)
For (h, k) = (-7, -6) and r=3, your circle is ...
(x -(-7))^2 +(y -(-6))^3 = 3^2
(x +7)^2 +(y +6)^2 = 9
i hope this helps btw i did not copy n paste l got 100% on this
PLEASE HELP ME WITH PROB AND STATS
6. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
Answer:
y = 5.07 + 0.850x
Step-by-step explanation:
You can check all equation on the calculator y =
From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me
Reading the given Question , we get to know that 180 ft. is the height of lighthouse and 27° is the angle of depression from top of it to a ship in the ocean
(Figure is attached )
We know , Angle Of depression = Angle Of elevationFor finding base length from the ship to base of lighthouse ,
Tanθ = perpendicular/base
Tan 27° = 180ft/base
Base = 180/0.5095 (Value of tan 27° is 0.5095)
Base = 353.28 ft.
Base = 4239.36 inches
what equation represents the graph
Answer:
y = (x + 1)(x - 2)(x -3)
Step-by-step explanation:
Looking at the graph we see our zeros which is on the x-axis is -1 , 2, 3.
Thus create an equation.
y = (x + 1)(x - 2)(x -3)
Find AUB and AnB for set A and B
Answer:
Option C is the correct answer
Step-by-step explanation:
A= {-4, -6, 6, 4} (Given)B = {-8, -4, -5, -6, 0} (Given)[tex]A \cup B = \{-4, -6,\: 6, \:4, -8, -5, \:0\}[/tex][tex]A\cap B= \{-4, -6\}[/tex]Hello please help me………….thank you
Answer:
1. False —> that’s how you find the perimeter.
2. False —> area is measured in square units.
3. False —> you can only use a multiplication.
4. True —> (2x6) + (2x8) = 28 inches.
5. False —> 5x5 = 25 square meters.
—-
Have a nice day!!
Answer:
Step-by-step explanation:
1 False. The suggestion given is for Perimeter, not area.
2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches
3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.
4.True
5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20
