Answer:
3 1/5 meters
Step-by-step explanation:
1/4 in. on map ⇒ 1 meter in real life
1/4 can also be written as 5/20⇒ 1/20 = 1/5 meter⇒ 4/5 in. = 16/20 inches
⇒ 16/20 inches = 1/5 x 16 = 3 1/5 meters
A company makes three sizes of juice bottles: small, medium, and large.
• The ratio of small bottles to medium bottles made is 2:3.
• The ratio of medium bottles to large bottles made is 3:5,
The company makes s small bottles every minute.
Enter an expression in terms of s to represent the number of large bottles the company makes every minute.
An expression in terms of s that represents the number of large bottles is : L = [tex](\frac{15s}{2} /3})[/tex]
Ratio of different sizes of bottlesThe company makes s small bottles every minute
let ; M represent the number of medium bottles made every minute
L represent the number of large bottles made every minute
small bottles to medium = 2 : 3
small bottles to medium = s : M
M is the unknown, so to find how many medium bottles that has been made, we must cross multiply
2M = 3s
M = [tex]\frac{3s}{2}[/tex] medium bottles made every minute
medium bottles to large bottles = 3 : 5
medium bottles to large bottles = M : L
where M = [tex]\frac{3s}{2}[/tex]
The equation becomes:
3 : 5
[tex]\frac{3s}{2}[/tex] : L
L is the unknown, so to find how many Large bottles that has been made, we must cross multiply
3L =( [tex]\frac{3s}{2}[/tex] ) * 5
L = [tex](\frac{15s}{2} /3})[/tex]
L = ( [tex]\frac{5}{2}[/tex] s)
L = 2.5 s
therefore the large bottles the company makes every minute is 2.5s large bottles
we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s
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given that (4,-8) is on the graph of f(x), find the corresponding point for the function. f(x+3)
Answer:
i believe it's (1,-8)
Step-by-step explanation:
you subtract the "+3," since it's really the opposite, from 4 to get 1. The -8 stays the same since the transformation doesn't affect the y's.
James bought a car for $17.528 which included a 4.5% tax
a) How tax did he pav? b) He received a 15% discount off the
original price of the car. What was the original price?
Answer:
(1) the tax is 788.76
(2) 19312.23
Step-by-step explanation:
Hope this helps
HELP ASAP!!
Person A leaves a $16 tip for a meal that costs $123. Person B leaves a tip of $12 for a meal that costs $89. Who is the better tipper? Explain.
if sin18=0.3090, cos 18=0.9511, sin 22=0.3746, and cos22=0.9272, then what is sin4
Answer:
[tex]0.6428[/tex]
Step-by-step explanation:
Using the addition formula for sine[tex]sin(x + y) = sinxcosy + cosxsiny[/tex]
[tex]sin40 = sin(18 + 22)[/tex]
[tex]= sin18cos22 + cos18sin22= (0.3090 * 0.9272) + (0.9511 * 0.3746)= 0.2865 + 0.3563= 0.6428[/tex]
if i had 10 apples how many apples do i have?
Answer:
10 apples
Step-by-step explanation:
Given the endpoints of a segment, find the length of each segment.
A (-3, 7) and B (-5, 2)
Step-by-step explanation:
Using the distance formula
√(x1-x2)²+(y1-y2)²
√(-3+5)²+(7-2)²
√(2)²+(5)²
√4+25
√29 units
MARK ME AS BRAINLISTThe volume of a spherical balloon with radius 2.8 cm is about 92 cm^3. Estimate the volume of a similar balloon with radius 8.4 cm.
Step-by-step explanation:
it means the shape of the balloon is close to a sphere.
the volume of a sphere is
4×pi×r³
so, it bases on r³.
that means any scaling factor f between 2 similar balloons for the radius has to be multiplied in 3 times (once for every "r").
in our case we know
8.4 = 2.8 × f
f = 8.4 / 2.8 = 3
so,
large volume = small volume × f×f×f =
= small volume × f³ = 92×3³ = 92×27 =
= 2,484 cm³
You need to arrange of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
Question content area bottom
Part 1
enter your response here ways
(Type a whole number.)
Answer:
The answer is 8! ("eight factorial") = 8*7*6*5*4*3*2*1 = 40320, which is the number of permutations of 8 objects.
(8 ways to put the first book in the first place, then 7 ways to put the second book in the second place, then 6 ways to put the third book in the third place, and so on).
3×+4y÷2 for x=7 and y=10
PLEASE HELPPP
Answer:
41
Step-by-step explanation:
(3*7)+(4*10)/2
(21)+(40)/2
Bidmas means you do 40/2 first
21+20=41
Find the area of the rectangle with length 27 inches and width 40 inches. (1 point)
67 in. 2
134 in. 2
1,080 in. 2
10,800 in. 2
Answer:
1,080 square inches
Step-by-step explanation:
27 inches * 40 inches = 1,080 square inches
Sylvia applies two transformations to WXYZ shown below on the coordinate grid. She applies a reflection across the y-axis and then a rotation of 180° counterclockwise about the origin.
What are the coordinates of the final vertices of the two transformations?
coordinates: ________________________
The coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
How to determine the final vertices?The coordinates of the polygon WXYZ are:
W = (-4,-1)
X = (-2,-1)
Y = (-2,-4)
Z = (-3,-2)
When reflected across the y-axis, the rule of transformation is:
(x,y) -> (-x,y)
So, we have:
W' = (4,-1)
X' = (2,-1)
Y' = (2,-4)
Z' = (3,-2)
When rotated by 180 degrees, the rule of transformation is:
(x,y) -> (-x,-y)
So, we have:
W" = (-4,1)
X" = (-2,1)
Y" = (-2,4)
Z" = (-3,2)
Hence, the coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
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If f ( x ) is a linear function, f ( − 5 ) = − 4 , and f ( 1 ) = − 1 , find an equation for f ( x )
equivalent expression for 6(a+b)
Answer:
6a + 6b
Step-by-step explanation:
Use Distributive property: a( b +c) =(a *b) +(a*c)
6(a + b) = 6*a + 6*b
= 6a+ 6b
Calculate the interest rate for an account that was
compounded semi-annually, had an initial deposit of
$9,000 and was worth $13,373.53 after 10 years.
Answer:
Intrest rate is 3645%
20(36.45%) = $4374
Step-by-step explanation:
Semi-annualy = 6 months
Start: $9,000
After 10-years (120 months): $13,373.53
Since it's gaining money every 6 months, it gains money over 20 months.
(120/6 = 20)
After removing the starting cost, it gains $4,373.53 over 20 months.
(13,373.53 - 9,000 = 4,373.53)
$4,373.53 spread out over 20 months equals around $218.68 every 6 months.
(4,373.53 ÷ 20 = 218.6765)
(218.6765 ≈ 218.68)
$218.68 over 6 months equals about $36.45 every month
(218.68 ÷ 6 = 36.44666)
(36.4666 ≈ 36.45)
The intrest rate is 3645%
(3645% ÷ 100% = 36.45)
NEED HELP ASAP
What is the slope of a line perpendicular to the line whose equation is 2x + 3y = 24. Fully simplify your answer.
The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,
⇒ m = - 2/3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The perpendicular line is,
⇒ 2x + 3y = 24
Now,
Since, Product of slopes of perpendicular line are - 1.
So, We need to find the slope of the line.
Hence, Slope of the line is,
2x + 3y = 24
y = - 2/3x + 8
m = dy/dx = - 2/3
m = - 2/3
Thus, The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,
⇒ m = - 2/3
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Rearrange the equation so x is the independent variable. -4x-6=-5y+9 y=
-4x-6=-5y+9y
-4x-6= 4y
-4x= 4y+6
4x=-4y-6
x= (-4y-6)/4
Can someone help me answer this question?
Fill in the blanks as necessary.
(a) Kaitlin is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
2
3
7
Cost (in dollars)
10
15
28
The cost for each person is not always the same.
The cost for each person appears to be the same.
Predicted number in group for a cost of $40:
Answer:
The cost for each person is not always the same.10 peopleStep-by-step explanation:
Number : 2 Cost : $10
Per person = 10/2 = $5Number : 3 Cost : $15
Per person = 15/3 = $5Number : 7 Cost : $28
Per person = 28/7 = $4⇒ The cost is not always the same per person.
⇒ Predicted number in a group for cost of $40 :
⇒ Since 7 costs $28 and if we use 8, it will be $5 per head but the price difference will be too large
⇒ 10 people is more reasonable at a rate of $4 per person
can someon3 help me with this it like 4 or 5 minutes
Answer:
C. 360-85=12h
Step-by-step explanation:
360=85+12h
360-85=12h
Which one has a greater quantity:
The volume of a prism with a base area of 24.3 cm2 and height 14 cm or
The volume of a pyramid with a base area 24.3 cm2 and height 14 cm
Answer:
The volume of a prism with a base area of 24.3 cm2 and height 14 cm
I will give you 50 points and brainliest if you can answer this question
Use the equation 124⋅15=1,860 and what you know about fractions, decimals, and place value to determine where to place the decimal point when you compute (1.24)⋅(0.15).
1. Select the correct decimal location below.
2. Explain how you know
Answer:
The decimal stays in the same place and the answer is 0.186
Step-by-step explanation:
Which of the following statements about closure is false?
Polynomials are closed under addition. When you add polynomials, the result will always be a polynomial.
Polynomials are closed under subtraction. When you subtract polynomials, the result will always be a polynomial.
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
Polynomials are closed under multiplication. When you multiply polynomials, the result will always be a polynomial.
Using the concept of closure, it is found that the false statement is given by:
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
What is the closure of a polynomial?A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and multiplication operations.
As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.
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Enter the correct answer in the box.
Write the expression 12-2 in simplest form.
Answer: 1/144 as a fraction
Step-by-step explanation:
The formula below is used to convert a temperature in degrees Fahrenheit, F, to a
temperature in degrees Celsius, C.
c=2 / IF
(F-32)
-
What is the temperature, in degrees Celsius, that is equivalent to a temperature of 40°F?
B
А 14-с
B 95C
C 4400
D 222
С
Answer:
C.4400
Step-by-step explanation:
The formula to convert Fahrenheit to Celsius (or Vice Versa) is,
F
=
(
9
C
5
)
+
32
Here C is the Temperature in Celsius Degrees and F is temperature in Fahrenheit Degrees.
Time for substitution
( 9C)
40 = ______ +32
5
I have put 40 instead of F because the value I have in hand is temperature in Farhenheit.
=> (40 -32) 5
________ = C
9
Then take all the constant term to one side and keep the variable on other side.
C = 4.4444444
C = 4400
Help I have a d in this class
2. Elana's Family. Elana's Family.
ohn drove from Miami to Atlanta, and the trip took him a total of 10 hours.
For 6 hours John’s average speed was 73 mph. His average speed on the remainder of the
trip was 67 mph. What was his average speed on the entire trip?
a) 70.8 mph
b) 70.6 mph
c) 69.4 mph
d) 68.2 mph
Answer:
b) 70.6
Step-by-step explanation:
To calculate average you need to add up all the numbers and divide by the quantity of numbers. They are calculating with mph, with ten hours, so there will be ten numbers. First you do 73 x 6 (6 because of 6 hours of 73 mph) which is 438. Then you do 67 x 4 which is 268. you add it up, then find a total of 706. Then you divide it by ten to find the answer 70.6
Math 10 CP1 CR
What are the solutions to the equation 3(x – 4)(x + 5) = 0?
O x = -4 or x = 5
O x = 3, x = 4, or x = -5
O x = 3, x=-4, or x = 5
O x = 4 or x = -5
The solutions of the given equation are x = 4 or x = -5.
What is solution of an equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations.
Given is an equation, 3(x – 4)(x + 5) = 0 we need to find the solution of the equation,
So, we can see that the equation is a quadratic equation, so it will have two solutions,
The equation is already in factored form,
So,
3(x – 4)(x + 5) = 0
Solution,
x-4 = 0
x = 4
x+5 = 0
x = -5
Hence, the solutions of the given equation are x = 4 or x = -5.
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Find the perimeter of the figure.
Step-by-step explanation:
perimeter=(8cm×5)+24cm
=40cm+24cm
=64cm
tell whether the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
How to find a linear function?The standard equation of a linear function is y = mx + b
where:
m is the slopee
b is the y-intercept
Using the coordinate point (1, 6) and (2, 9)
Find the slope
Slope = 9-6/2-1
Slope = 3/1
Slope = 3
For the y-intercept
Recall that y = mx + b
9 = 3(2) + b
b = 3
Determine the equation
y = 3x + 3
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function.
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