Answer:
0.033 pounds/min
Step-by-step explanation:
For Meagen:
Time taken to cook golden turkey = 56 minutes
Weight of golden turkey = 12 pounds
For her competitor:
Time taken to cook golden turkey = 1 hour 16 minutes = 77 minutes
Weight of golden turkey = 304 ounces
16 ounces = 1 pound
Therefore, 304 ounces = [tex]\frac{304}{16}[/tex] = 19 pounds
Now, let us find the number of pounds cooked per minute by each chef.
Pounds cooked per minute by Meagen = [tex]\frac{12}{56} = 0.214\ pounds/min[/tex]
Pounds cooked per minute by the competitor = [tex]\frac{19}{77} = 0.247\ pounds/min[/tex]
Difference = 0.247 - 0.214 = 0.033 pounds/min
Which ordered pair is a solution of the equation?
y = -2x + 5
Answer:
(0,5)
Step-by-step explanation:
SOS HELP PLEASE!!!!!!!
Answer:
a for 2 b for 3 c for 1 and d is 4
Step-by-step explanation:
What does 2a + 3c + 4d simplify to?
Answer:
2a + 3c + 4d
Step-by-step explanation:
This is the answer because:
1) Nothing further can be done to this equation since there are no like terms.
Therefore, the answer is 2a + 3c + 4d.
Hope this helps! :D
Find the length of the missing side. Round to the nearest tenth (one decimal place).
Answer: pretty sure it is 56.5
Step-by-step explanation:
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
Answer:
The Width of each side of the bookmark in centimeters = 5cm
Step-by-step explanation:
A bookmark shaped like a rectangle has a total perimeter of38cm the length of the one of its sides is 14 what is the width of each side of the bookmark in centimeters
The formula for perimeter fo a rectangle =
P = 2L + 2W
Where L = Length
W = Width
Hence: From the above question:
38cm = 2 × 14 cm + 2 W
38cm = 28cm + 2W
2W = 38cm - 28cm
2W = 10cm
W = 10cm/2
W = 5cm
Hence, the Width of the rectangle(each side of the bookmark in centimeters) = 5cm
Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?
A The length is 6 inches, and the width is 10 inches.
B The length is 1.5 inches, and the width is 2.5 inches
C The length is 5 inches, and the width is 10 inches.
D The length is 5 inches, and the width is 7 inches.
Answer: 6 in. x 10 in.
Step-by-step explanation:
Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster.
1. The scale of enlargement is 2 inches to 1 centimeter.
2. The actual length of the stamp = 3 centimeters
3. The length of frame = 2 x 3 = 6 inches
4. The actual width of the stamp = 5 centimeters
5. The width of frame = 2 x 5 = 10 inches
Conclusion: Because of this, the dimensions for the scale picture would be 6 by 10 inches
If csc Ф = 4/3, what is the value of sin Ф
Step-by-step explanation:
Since cosecx = 1 / sinx,
sinФ = 1 / cosecФ = 1 / (4/3) = 3/4.
Help please thank you !!!
Please help me asap
Select the correct answer from each drop-down menu.
A system of linear equations is given by the tables. x y -1 1 0 3 1 5 2 7 x y -2 -7 0 -1 2 5 4 11
Answer:
1) The first equation of the system is y = 2·x + 3
2) The second equation of the system is y = 3·x - 1
3) The solution of the system is (4, 11)
Step-by-step explanation:
1) From the coordinates of the first table, we have;
The points of the y-coordinate have a common difference of two
The rate of change of the function using the first and the last point is given as follows;
Rate of change = Slope, m = (7 - 1)/(2 - (-1)) = 2
The, equation of the line in point and slope form is, y - 7 = 2 × (x - 2)
∴ The equation of the line in slope and intercept form is y = 2·x + 3
Therefore, the first equation of the system is y = 2·x + 3
2) Similarly from the coordinates of the second table, we have;
The points of the y-coordinate have a common difference of six
The rate of change of the function using the first and the last point is given as follows;
Rate of change = Slope, m = (11 - (-7))/(4 - (-2)) = 3
The, equation of the line in point and slope form is, y - 11 = 3 × (x - 4)
∴ The equation of the line in slope and intercept form is y = 3·x - 1
Therefore, the second equation of the system is y = 3·x - 1
3) Equating both equations in the system of equations to find a common solution gives;
2·x + 3 = 3·x - 1
∴ x = 4
From y = 3·x - 1 or y = 2·x + 3, we have the value of y at the solution point as y = 3 × 4 - 1 = 11 or 2 × 4 + 3 = 11
∴ y = 11 at point of the common solution of the system of equations
Therefore, the coordinates of the common point which is the solution of the system is (4, 11).
Answer:
Select the correct answer from each drop-down menu.
A system of linear equations is given by the tables.
x y
-1 1
0 3
1 5
2 7
x y
-2 -7
0 -1
2 5
4 11
The first equation of this system is y =
2
x + 3.
The second equation of this system is y = 3x −
1
.
The solution of the system is (
4
,
11
).
Step-by-step explanation:
A submarine is 105 feet below the surface of the water, and it begins to ascend at a rate of 3 feet per minute. After how many minutes will the submarine be 81 feet below the surface?
Answer:
8 minutes
Step-by-step explanation:
Step one:
given
A submarine is 105 feet below the surface of the water
depth of submarine= 105 feet
let the time of ascending be x
Required
The time taken to ascend up to 81 ft
Step two:
the expression for the situation is
81=105-3x
solve for x
3x=105-81
3x=24
divide both sides by 3
x= 24/3
x=8 minutes
If sin 0 = -0.6 and cos 0 = -0.8, find the cot O
Please helppp
Answer:
cotθ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Using the trigonometric identity
cot x = [tex]\frac{cosx}{sinx}[/tex], then
cotθ = [tex]\frac{-0.8}{-0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
QUIYING WANTS TO MAKE PANCAKES FROM A RECIPE GIVEN ON THE BOX. THE RECIPE CALLS FOR 2 CUPS OF STRAWBERRIES, 5 CUPS OF PANCAKE MIX AND 4 CUPS OF MILK. QUIYING ONLY HAS 3 CUPS OF PANCAKE MIX LEFT IN THE BOX. HOW MANY CUPS OF STRAWBERRIES SHOULD QUIYING USE SO THAT HER PANCAKES COME OUT EXACLY LIKE THE PANCAKES THAT THE BOX RECIPE RECOMMENDS.
find the value of X in each of the given triangles.
<DSR + <SRD + <RDS = 180° (Angle sum property)
2x + x +3x = 180°
6x = 180°
x = 180°/6
x = 30°
So, <SRD = x = 30°
<RDS = 3x = 3(30°) =90°
<DSR = 2x = 2(30°) = 60°
Hope it helps !
✌️
Jai hind !
Answer:
[tex]3x + 2x + x = 180 \\ 6x = 180 \\ \boxed{x = 30}[/tex]
Angles are 30°,60° and 90°.
x=30 is the right answer.Solve the equation.
IM
4=t/2.5
Answer:
t=10
Step-by-step explanation:
4=t/2.5
4=t/25/10
divide 25and10 by 5=5/2
4=t/5/2
4=t×2/5
multiply both sides of the equation by 5
5×4=t×2/5×5
20=t×10/5
20=t×2
— —
2. 2
10=t
OK i need big help!!!! And it's really easy!
Find the difference.
6 - (-3) =
Answer:
9
Step-by-step explanation:
when 2 negative signs meet or be multiplied the sign became "+" instead of "- -".
30 IS 15% of WHAT number?
A. 333.3
B. 266.6
C. 600
D. 200
Answer:
The correct answer is D) 200
Step by step explanation:
Let x be the number:
Then,
→15/100(x)=30
→3/20(x)=30
→3x/20=30
→3x=20⋅30
→3x=600
→x=600/3=200
Hope it helps!
Answer:
D 200
Step-by-step explanation:
Let the number we are find be x. We can write this as an equation:
30 = 15%*x = (15/100)x
Multiplying by 100/15 on both sides to isolate x:
x = 30(100/15) = 2(100) = 200
Therefore, 200 is our answer. I hope this helps! :)
Mrs. Brim made a chart to see how long it took her students to finish a test. How many students took more than thirty minutes to finish the test?
Answer:
As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.
Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.
Step-by-step explanation:
As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.
Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.
Total time of test = 30 minutes
Average time taken by the students to solve the test on Day 1 = 25 minutes.
Average time taken by the students to solve the test on Day 2 = 27 minutes.
Average time taken by the students to solve the test on Day 3 = 22 minutes.
Average time taken by the students to solve the test on Day 4 = 23 minutes.
Average time taken by the students to solve the test on Day 5 = 20 minutes.
Average Time in all Tests = Sum of all times / total number of days
Average Time = (25 + 27 + 22 + 23 + 20) / 5 days
Average Time = 117/5
Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.
A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?
[Irrelevant answers will be reported]
Answer:
12%
Step-by-step explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
Proove that: tanα + cotα = secα. cosecα
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan a = [tex]\frac{sina}{cosa}[/tex], cot a = [tex]\frac{cosa}{sina}[/tex]
sec a = [tex]\frac{1}{cosa}[/tex], cosec a = [tex]\frac{1}{sina}[/tex]
Consider the left side
tana + cota
= [tex]\frac{sina}{cosa}[/tex] + [tex]\frac{cosa}{sina}[/tex]
= [tex]\frac{sin^2a+cos^2a}{cosasina}[/tex]
= [tex]\frac{1}{cosasina}[/tex]
= [tex]\frac{1}{cosa}[/tex] × [tex]\frac{1}{sina}[/tex]
= seca . coseca
= right side , thus proven
Order the following from biggest to smallest = 10 g = 10 kg = 10 mg
Answer:
10 kg = 10g = 10 mg
Hope this helped ;)
Write an equation in point-slope form of the line that passes through the point (-8, – 2) and has a slope of m=5.
y- □=□(x-□)
Express 0.361 recurring as a fraction.
(only the 61 recurs)
9514 1404 393
Answer:
179/495
Step-by-step explanation:
When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.
Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.
Then the entire decimal is ...
0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495
Given f(x) = -2x– 9x + 7, what is the value of f(-3)?
Answer:
f(- 3) = 40
Step-by-step explanation:
To evaluate f(- 3), substitute x = - 3 into f(x), that is
f(- 3) = - 2(- 3) - 9(- 3) + 7 = 6 + 27 + 7 = 40
What is the value of x In this equation?
75 + 10x = 225
150
15
25
10
Answer:
15
225-75=150
150÷10=15
Square ABCD was translated using the rule (x. y) «-4,y + 15) to form A'B'CD. What are the coordinates of point
D in the pre-image if the coordinates of point D' in the image are (9, -8)?
TE
O (13, -23)
(5, 7)
O (18, 1)
O (6,4)
Answer:
[tex](13,-23)[/tex]
Step-by-step explanation:
Given
Translation: [tex](x,y) -> (x-4,y+15)[/tex]
Required
Determine the pre-image of (9,-8)
In (9,8)
[tex]x = 9[/tex] and [tex]y = -8[/tex]
So:
[tex](x,y) -> (x-4,y+15)[/tex]
Becomes
[tex](9,8) ->(x-4,y+15)[/tex]
By comparison:
[tex]x - 4 = 9[/tex]
[tex]y + 15 = 8[/tex]
Solving for (x):
[tex]x - 4 = 9[/tex]
[tex]x = 9 + 4[/tex]
[tex]x = 13[/tex]
Solving for (y):
[tex]y + 15 = -8[/tex]
[tex]y = -8 - 15[/tex]
[tex]y = -23[/tex]
Hence, the pre -image has a coordinate of [tex](13,-23)[/tex]
Which equation has a constant of proportionality equal to 2?
y=10/5x
y=2/2x
y=2/4x
y=22/2x
Answer:
A
Step-by-step explanation:
xy = 10/5 = 2
the other wrong because
xy = 1
xy = ½
xy = 11
can someone teach me similar shapes and how i would find volume and area as well as congruency in triangles, thanks
I don't get it at all
Answer and Step-by-step explanation:
It's very easy.
If you have two shapes, let's say triangles, the shapes are said to be similar if the corresponding angles are equal. For instance a triangle ABC with angles A = 45, B = 45 and C = 90 if there is another triangle PQR with angles P = 45, Q = 45 and R = 90, we say triangle ABC and triangle PQR are similar because their corresponding angles are equal.
Two triangles are said to be congruent if they are exactly the same in angles and size. All congruent shapes are similar but not all similar shapes are congruent.
To find area of similar shapes, we need what we call the scale factor of the enlargement.
If we have two similar shapes where by one is an enlargement of the other. Let's say the enlargement is in ratio 2:1. This ratio 2:1 is what we call scale factor. If we want to find the area of one shape given the area of a similar one to it, we make use of
Area = (scale factor)². For instance if we have two similar triangles, the area of the bigger is 16cm² and the scale factor is 2:1, we can find the area or the smaller by:
(2/1)² = 16/X = 4/1 = 16/X
4x = 16 and x = 4.
To find volume we use:
Volume = (scale factor)³ and the process is the same.
If A =30 and B =60. verifiy that 2 sin A cosA =2tanA/1+tan²A
Step-by-step explanation:
It's given that A = 30° . Lets find the sin , cos & tan of A
⇒ [tex]\sin A=\sin30 = \frac{1}{2}[/tex]
⇒ [tex]\cos A = \cos 30 = \frac{\sqrt{3} }{2}[/tex]
⇒[tex]\tan A = \tan 30 = \frac{1}{\sqrt{3} }[/tex]
Lets solve the LHS (Left Hand Side) :-
[tex]2(\sin A \times \cos A) = 2(\frac{1}{2} \times \frac{\sqrt{3} }{2}) = \frac{\sqrt{3} }{2}[/tex]
Now lets solve the RHS (Right Hand Side) :-
[tex]\frac{2\tan A}{1+\tan ^{2}A } = \frac{2 \times \frac{1}{\sqrt{3} } }{1 + (\frac{1}{\sqrt{3} } )^{2} } = \frac{2}{\sqrt{3} } \div ( 1 + \frac{1}{3} ) = \frac{2}{\sqrt{3} }\div \frac{4}{3} = \frac{2}{\sqrt{3} } \times\frac{3}{4} =\frac{\sqrt{3} }{2}[/tex]
∴ LHS = RHS ( Proved )
a movie theater made $1267.50 on monday by selling 180 tickets. Adult tickets were $7.50 each and a child ticket was 6. Which system below could be used to find the number of adults that attended
the movie on monday ?
A. {a+c=180
{a+c=1267.5
B. {a+c=1267.5
{7.5a + 6c=180
C. {a+c=180
{7.5a+ 6c=1267.5
D. {a+c=180
{7a+6.5c=1267.50
Answer:
C
Step-by-step explanation:
7.5 per ticket for every adult and 6 for every child to 7.5a+6c=1267 which is how much they made. Then since the theater sold 180 tickets then a+c=180