Answer:
Hello answer: 1 1/3
work: 1/3 × 4 = 1 1/3
equation: 1/3 × 4 = 1 1/3
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{1}{3}[/tex] can → 1 cake
Number of thirds in 1 can = 3, then
Number of thirds in 4 cans = 3 × 4 = 12
Thus 12 cakes can be frosted with 4 cans
(b)
number of cakes = 4 ÷ [tex]\frac{1}{3}[/tex] = 4 × [tex]\frac{3}{1}[/tex] = 12
Solve the simultaneous equation
2x-3y =8 x+3y=14
Use elimination method....
Answer:
x = 22/3 y = 20/9
Step-by-step explanation:
2x-3y =8 x+3y=14
Add the two equations together to eliminate y
2x-3y =8
x+3y=14
-------------
3x +0y = 22
Divide each side by 3
3x/3 = 22/3
x = 22/3
Then take the second equation and multiply by -2 and add to eliminate x
2x-3y =8
-2x-6y=-28
----------------------
-9y = -20
Divide by -9
-9y/-9 = -20/-9
y = 20/9
x = 22/3 y = 20/9
One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?
Answer:
Step-by-step explanation:
We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:
[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us
3x + 3x + 4x = 12 and
10x = 12 so
x = 1.2 hours
Answer:
1.2 hours
Step-by-step explanation:
we need to see how much each pipes does in the same amount of time
The least common multiple of 3 hours and 4 hours is 12 hours
In 12 hours:
Pipe 1 at 4 hours to fill a tank fills 3 tanks
Pipe 2 at 4 hours to fill a tank fills 3 tanks
Pipe 3 at 3 hours to fill a tank fills 4 tanks
All three pipes can fill 10 tanks in 12 hours
12 hours/10 tanks = 1.2 hours to fill one tank
-------------------------
Doing just the math
1/4 + 1/4 + 1/3 = x
3/12 + 3/12 + 4/12 = 10tanks/12 hours
12hours/10tanks = 1.2 hours
how many 5- digit numbers are there in all the number system
Answer:
The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.
A florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10 . She sells each bouquet of orchid for $25 and each rose bouquet for $30 . She earns $390 . If she sell four times as many orchid bouquets as rose bouquets. How many flowers does she sell all together?
Answer:
The florist sold 270 flowers.
Step-by-step explanation:
Since a florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10, and she sells each bouquet of orchid for $ 25 and each rose bouquet for $ 30, and she earns $ 390, if she sell four times as many orchid bouquets as rose bouquets, to determine how many flowers does she sell all together, the following calculation must be performed:
4 x 25 + 1 x 30 = 130
8 x 25 + 2 x 30 = 260
12 x 25 + 3 x 30 = 390
12 x 20 + 3 x 10 = X
240 + 30 = X
270 = X
Therefore, the florist sold 270 flowers.
How do you find the cosine and tangent of an angle if you are given the
sine? You may make up (if you like) an example of this to help
illustrate (remember, sine can only be between -1 and 1).
Answer:
under
Step-by-step explanation:
We have the sin²x+cos²x=1, so we can find the cosine if we have the sine,after we have sin,cos, easily to find the tangent by usingtangent =Sine/cosine
What are the answer
Answer:
1)556.11 cm²
2)164.05 cm²
3)117.70 cm²
Step-by-step explanation:
1) We have a cylinder and a cone on top of it.
Formula for total surface area of cylinder is;
T.S.A = 2πrh + 2πr²
However, the top is not available for calculation here. Thus, we will use;
TSA = 2πrh + πr²
Thus;
TSA = 2π(5 × 12) + π(5)²
TSA = 455.53 cm²
The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL
L is the slanting height and can be calculated from pythagoras theorem ;
L = √(5² + 4²)
L = √41
Thus;
LSA = π × 5 × √41 = 100.58 cm²
Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²
2) for the box down;
TSA = 2lw + 2lh + 2hw
Since the top face is not used, then
TSA = lw + 2lh + 2hw
TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)
TSA = 125 cm²
For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl
Where P is perimeter of base and L is slant height.
P = 5 × 4 = 20 cm
Radius is 5/2 = 2.5 and so using pythagoras theorem;
L = √(2.5² + 3²)
L = 3.905 cm
Thus;
LSA = ½ × 20 × 3.905 = 39.05 cm²
Overall surface area = 39.05 + 125 = 164.05 cm²
C) for the box down;
TSA = 2lw + 2lh + 2hw
Since the top face is not used, then
TSA = lw + 2lh + 2hw
TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)
TSA = 80 cm²
For the half cylinder on top;
Surface area ;
T.S.A = 2πrh + 2πr²
Since half cylinder;
TSA = πrh + πr²
TSA = π((2 × 4) + 2²))
TSA = 37.7 cm²
Overall total surface area = 80 + 37.7 ( 117.70 cm²
What shape has A pair of lines that form a right angle
Find the value of y ?
thank youuuuu
Answer:
Step-by-step explanation:
y = 3*[tex]\sqrt{15}[/tex]
what is the range of 0 and 8
Answer:
8
Step-by-step explanation:
range=highest number - lowest number
=8 - 0
=8
What is the area of the figure? A 80 square inches 88 square inches C. 96 square inches D. 120 square inches
Answer:
88
Step-by-step explanation:
How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x
Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = 2^x - 4[/tex]
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
How many proper subsets does the set T = {i, c, j, e} have?
PLEASE IM BEGGING!!!
The questions is: Find the perimeter and the Area of a Trapezoid
Answer:
Step-by-step explanation:
P = 65.4
not sure about area Sorry
The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces.
Cost of Gold Based on Weight
Cost (C ) in
Dollars Weight (W ) in
Ounces
7,200 12
13,200 22
19,200 32
Which equation could be used to determine the cost of a piece of gold of any weight?
(any links, or incorrect answers will be reported and banned)
Answer:
Solution given:
12 Ouches =$7200
per Ouches =$7200/6=$600
So
the required equation for the cost of any weight of gold is:
C.
600W=C is a required equation.
Answer:
600W=C
Step-by-step explanation:
.......................
For what values of x and y is PQRS a parallelogram?
Answer:
x = 3
y = 2
Step-by-step explanation:
GIVEN :-
PQ = 2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3TO FIND :-
The values of x & y for which PQRS will be a parallelogramFACTS TO KNOW BEFORE SOLVING :-
In a parallelogram , pair of opposite sides are always equal in length.
SOLUTION :-
PQRS will be a parallelogram only when :-
PQ = RSand PS = QR1) Assume that PQ = RS.
[tex]=> 2y + 3 = y + 5[/tex]
[tex]=> 2y - y = 5 - 3[/tex]
[tex]=> y = 2[/tex]
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
[tex]=> 4x - 3 = 4y + 1[/tex]
(Put y = 2 in the equation)
[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]
[tex]=> 4x - 3 = 9[/tex]
[tex]=> 4x = 9 + 3 = 12[/tex]
[tex]=> x = \frac{12}{4} = 3[/tex]
∴ For x = 3 , PS = QR.
CONCLUSION :-
For x = 3 & y = 2 , PQRS is a parallelogram.
NEEEEEEEEED HELPPP step by step
Answer:
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:
y = -.36(22) + 12.6 and
y = -7.92 + 12.6 so
y = 4.68F
Answer the questions below.
(a) A pizza parlor has a choice of 11 toppings for its pizzas. From these 11 toppings, how many
different 8-topping pizzas are possible?
(b) 50 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
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HELP HELP HELP
Identify the maximum, minimum, y-intercept,
x-intercept, and increasing and decreasing interval on
the graph below.
Answer:
Step-by-step explanation:
Maximum is at (1.5,14).
Minimum is at (4, 0).
y-intercept is at (0, 9)
x intercept is at ( 4, 0).
increasing from x = 0 to x = 1.5 and x = 0 to 6.
decreasing from x = 1.5 to x = 0
Let f(x)=x3+9x2−81x+14. (a) Use the definition of a derivative or the derivative rules to find g
Answer:
[tex]g=6x+18[/tex]
Step-by-step explanation:
From the question we are told that:
Function
[tex]f(x)=x^3+9x^2−81x+14[/tex]
Generally 1st derivative f'(x) of Fuction f(x) is
[tex]f'(x)=3x^2+2*9(x)-81[/tex]
[tex]f'(x)=3x^2+18(x)-81[/tex]
Generally 2nd derivative f''(x) of Fuction f(x) is
Where
[tex]f''(x)=g[/tex]
Therefore
[tex]g=3x^2+18(x)-81[/tex]
[tex]g=2*3x^1+18[/tex]
[tex]g=6x+18[/tex]
A marketing research company desires to know the mean consumption of milk per week among people over age 31. A sample of 343 people over age 31 was drawn and the mean milk consumption was 4.4 liters. Assume that the population standard deviation is known to be 0.9 liters. Construct the 90% confidence interval for the mean consumption of milk among people over age 31. Round your answers to one decimal place.
Answer:
(4.3 ; 4.5)
Step-by-step explanation:
Given :
Sample size, n = 343
Sample Mean, xbar = 4.4
Standard deviation, σ = 0.9
Zcritical at 90%
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.645 * (0.9/√343)
Margin of Error = 0.0799394
Lower boundary = 4.4 - 0.0799394 = 4.320
Upper boundary = 4.4 + 0.0799394 = 4.480
(4.320 ; 4.480)
Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student plays a sport given
that they play an instrument?
Plays an instrument Does not play an instrument
Plays a sport
8
2
Does not play a sport
11
6
Answer:
ok
Step-by-step explanation:
(5-^2)-^4 PLEASE TELL ME EHSY THIS IS
390625
^if that’s what you meant in the picture cause your question was confusing
PLEASE HELP THIS IS DUE & I DON'T UNDERSTAND AND FEEL LIKE GARBAGE: On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 20), R(−10, 20), S(−10, −10), and T(10, −10), and represents the floor plan of a room. Find the perimeter and area of the room.
The perimeter of the room is
feet. The area of the room is
square feet.
Answer:
perimeter is the length of all sides added together, since this a square and one side is 20 length, all sides must be 20 length. 20 + 20 + 20 + 20 = 80
The area is the length times width. 20 * 20 is 400.
Step-by-step explanation:
I really need help please!!
Alice deposited 600 dollars in a new savings account, no other deposits were made, after 3 months interest was computed at an annual interest rate of 3 1/2 percent. how much interest did her money earn?
Answer:
: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob
ng mga bilog.
Step-by-step explanation:
Let's Write!
Directions: Write at least a five-sentence paragraph about the issue conveyed in the
picture using a pattern of idea development with its appropriate grammatical signals. A
rubric is given below for your guidance. Write your paragraph on a separate sheet of
paper.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
TreatmentWRITTEN WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
Treatment
38°
24 in
A restaurant owner plans to install this bicycle rack in front of her restaurant. In order to meet city safety requirements, the base
of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians. Will this bicycle rack be approved by the city?
Answer:
39
Step-by-step explanation:
Yes, the base of the bicycle rack measures about 15 inches.
Whta is the sin angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
A restaurant owner plans to install this bicycle rack in front of her restaurant.
In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.
The base of the bicycle is ;
In the right angle triangle;
[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]
Yes, the base of the bicycle rack measures about 15 inches.
Hence, Yes, the base of the bicycle rack measures about 15 inches.
Learn more about sin angle here;
https://brainly.com/question/18597026
#SPJ2
Help I need fast school is almost out ill give brainliest
Answer:
11
Step-by-step explanation:
a^2 + 3b / c - 2d
put the numbers in the equation
3^2 + 3 x 8 / 2 - 2 x 5
pedmas
3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5
9 + 12 - 10
left to right
9 + 12 = 21
21 - 10 = 11
Answer:
the correct answer is 11
+ (3x8)/2 - (2x5)
9+ - 10
9+12-10=11
Step-by-step explanation:
the length of a rectangle is four times it's width.if the perimeter is 70cm. Calculate the length and area of the rectangle
Answer:
length=28 cm
the area = 196 cm²
Step-by-step explanation:
length = 4 × width
2×(4w+w) = 70
2×5w=70
10w=70
w= 7 cm
length = 4×7 = 28 cm
the area = 28 ×7 = 196 cm²